Answer:
Equations: [tex]x+y=80\,,\,2x+4y=216\,\,[/tex]
number of chickens = 52
number of goats = 28
Step-by-step explanation:
Given: A small ranch has chickens and goats
Total number of heads = 80
Total number of legs = 216
To find: number of chickens and goats
To draw: the graph
Solution:
Let x denotes number of chickens and y denotes number of goats.
According to the question,
[tex]x+y=80\,\,(i)\\2x+4y=216\,\,(ii)[/tex]
From (i), put [tex]x=80-y[/tex] in (ii)
[tex]2(80-y)+4y=216\\160-2y+4y=216\\2y=216-180\\2y=56\\y=\frac{56}{2}=28[/tex]
Put [tex]y=28[/tex] in equation (i)
[tex]x+28=80\\x=80-28=52[/tex]
So,
number of chickens = 52
number of goats = 28
Please help me solve this!!
Answer:
∠G = 62
Step-by-step explanation:
Because Figure GHIJ is a Parallelogram, angle G and H are supplementary, which means that together, they add up to 180, so 180 - 118 = 62
Please mark as brainliest :)
What is the area of a circle if the diameter is 6 centimeters?
Answer:
18pi or 56.52 if you substitute pi with 3.14
Step-by-step explanation:
Answer:
[tex]28.26 {cm}^{2} [/tex]
Step-by-step explanation:
First let's find the radius
[tex]d = 2r \\ 6 = 2r \\ \frac{6}{2} = \frac{2r}{2} \\ 3 = r[/tex]
Now let's find the area.
[tex]\pi {r}^{2} \\ 3.14 \times 3 \times 3 \\ = 28.26 {cm}^{2} [/tex]
hope this helps
brainliest appreciated
good luck !have a nice day
Jack and Jill both ordered pizzas from Wayne’s pizza for their parties. Jack paid $58.50 for 3 pepperoni pizzas and 2 plain pizzas. Jill paid $67 for two pepperoni pizzas and 4 plain pizzas. How much does Wayne’s pizza charge for a plain pizza and for a pepperoni pizza ?
Answer:
A plain pizza is $10.50. A pepperoni pizza is $12.50.
Step-by-step explanation:
Solve a system of equations. Call x the price of plain pizzas and y the price of pepperoni pizzas. From the question we are told that for Jack:
[tex]58.50=2x+3y[/tex]
And for Jill:
[tex]67=4x+2y[/tex]
There are several ways to solve this. I'll used elimination. Multiply the first equation by 2:
[tex]117=4x+6y[/tex]
Now subtract the second equation from the first - this will get rid of the x, leaving only y, which can be solved for:
[tex](117-67)=(4x-4x)+(6y-2y)\\50=4y\\y=12.5[/tex]
Now sub the value for y into either of the original equations and solve for x. I'll use the first:
[tex]58.5=2x+3(12.5)\\58.5=2x+37.5\\21=2x\\x=10.5[/tex]
Answer:
One plain pizza would be $10.50 and one pepperoni pizza would be $12.50.
(30 Points! Please explain your answer)
Question in pictures.
Provide the next step to derive the quadratic formula.
Answer: its D
Step-by-step explanation: i cant really explain it but its D
help me plz thx
jkjl;jkl;jkl;jl
Answer:
π/2 units to the left
Step-by-step explanation:
To shift a function to the right by h units, replace x with (x -h). Here, the value of h is -π/2, so the function is shifted the opposite of right.
The function is shifted to the left by π/2 units.
At soccer practice, Hassan warms up by kicking balls at the goal. Yesterday, Hassan made 24 goals in 3 minutes. Today, he only spent 2 minutes kicking balls at the goal.
If Hassan made goals at the same rate, how many goals did he make today?
Answer:
Hassan scores 16 goals today if he scores at the same rate today.
Step-by-step explanation:
Hassan scores 24 goals in 3 minutes.
Here, unitary method can be used to calculate the number of goals scored today i.e. in 2 minutes.
Hassan's rate of scoring goals (Number of goals scored in a minute) is [tex]\dfrac{24}{3}[/tex].
Number of goals scored in a minute = 8 goals per minute
It is given that, today as well he is scoring at the same rate:
So, number of goals scored today in 2 minutes = [tex]8 \times 2 \Rightarrow 16[/tex] goals.
Hassan scored 16 goals today.
please look at picture to answer all i know is that the answer is not (B)
I WILL MARK U BRANLYEST IF U ANSWER CORRECTLY
Answer:
A
Step-by-step explanation:
A parcent as a fraction would be /100. So the answer would not be C or D. And since it isn't B, the answer is only A
Answer:
Your going to cross multiply
Find the product of z1 and z2, where z1 = 5(cos 60° + i sin 60°) and z2 = 7(cos 210° + i sin 210°)
Write in a + bi form
The product of the two complex numbers are 35[Cos270 + i Sin(270)].
What is a complex function?The function which is made up of the real numbers, as well as imaginary numbers, are called complex numbers these numbers are represented by a +ib form where the first part is the real part and the second part is the imaginary form.
The product of the two complex numbers will be done as:-
[tex]z_1z_2=r_1r_2Cos (\theta_1+\theta_2)+iSin(\theta_1+\theta_2)[/tex]
[tex]z_1z_2= 5\times 7[Cos(60+210)+iSin(60+210)][/tex]
[tex]z_1z_2=35[(Cos270)+iSin(270)][/tex]
Therefore the product of the two complex numbers is 35[Cos270 + i Sin(270)].
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A device tests whether each light on a string of LED lights is functioning properly. A company estimates that 2.3% of LED lights that they produce are defective. The device is 96% accurate for lights that are functioning properly and 94% accurate for lights that are defective. You use the device to test a randomly selected light. What is the probability that the test result is correct? Round your answer to the nearest tenth.
Answer:
96% probability that the test result is correct
Step-by-step explanation:
We have these following probabilities:
2.3% probability that a randomly selected light is defective.
If the light is defective, 94% probability that the test result is correct.
100-2.3 = 97.7% probability that a randomly selected light is not defective.
If the light is not defective, 96% probability that the test result is correct.
What is the probability that the test result is correct?
94% of 2.3% and 96% of 97.7%. So
p = 0.94*0.023 + 0.96*0.977 = 0.96
96% probability that the test result is correct
Given sin A = 12/13 and that angle A is in Quadrant 1,
find the exact value of cot A in simplest radical form
using a rational denominator.
We have been given that [tex]\text{sin}(A)=\frac{12}{13}[/tex] and angle A is in quadrant 1. We are asked to find the exact value of [tex]\text{cot}(A)[/tex] in simplest radical form.
We know that sine relates opposite side of right triangle with hypotenuse.
[tex]\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]
This means that opposite side is 12 units and hypotenuse is 13 units.
We know that cotangent relates adjacent side of right triangle with adjacent side.
[tex]\text{cot}=\frac{\text{Adjacent}}{\text{Opposite}}[/tex]
Now we will find adjacent side using Pythagoras theorem as:
[tex]\text{Adjacent}^2=\text{Hypotenuse}^2-\text{Oppoiste}^2[/tex]
[tex]\text{Adjacent}^2=13^2-12^2[/tex]
[tex]\text{Adjacent}^2=169-144[/tex]
[tex]\text{Adjacent}^2=25[/tex]
Let us take positive square root on both sides:
[tex]\sqrt{\text{Adjacent}^2}=\sqrt{25}[/tex]
[tex]\text{Adjacent}=5[/tex]
Therefore, adjacent side of angle A is 5 units.
[tex]\text{cot}(A)=\frac{5}{12}[/tex]
Therefore, the exact value of cot A is [tex]\frac{5}{12}[/tex].
The exact value of cot(A), where sin(A) is 12/13 and angle A is in Quadrant 1, is 5/12 in simplest radical form with a rational denominator.
To find the exact value of cotangent (cot) of angle A when sin A is given as 12/13, you can use the trigonometric identity:cot(A) = 1 / tan(A)Now, you need to find the value of tan(A). In Quadrant I, where angle A is located, both sine (sin) and tangent (tan) are positive.You are given that sin(A) = 12/13. To find tan(A), you can use the relationship between sin, cos, and tan:tan(A) = sin(A) / cos(A)You can use the Pythagorean identity for sine and cosine in right triangles:sin²(A) + cos²(A) = 1Since sin(A) is given, you can solve for cos(A):cos(A) = √(1 - sin²(A)) = √(1 - (12/13)²) = √(1 - 144/169) = √(25/169) = 5/13Now that you have both sin(A) and cos(A), you can find tan(A):tan(A) = sin(A) / cos(A) = (12/13) / (5/13) = 12/5Finally, you can find cot(A) by taking the reciprocal of tan(A):cot(A) = 1 / tan(A) = 1 / (12/5) = 5/12So, the exact value of cot(A) in simplest radical form using a rational denominator is 5/12.For more questions on rational denominator -
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The original price of a new computer is $233.00. If the computer is marked down 32%, what is the new price?
Answer:
= $ 158.44
Step-by-step explanation:
$ 233 = 100%
100% - 32% = 68% which is the percentage that represents the new price
If 100% = $ 233
What about 68% = $?
= (68 x 233) ÷ 100
= 15844 ÷ 100
= $ 158.44
A student council has nine officers, of which six are girls and three are boys. If two officers are chosen at random to attend a meeting with the principal, what is the probability that the first officer chosen is a girl and the second is a boy? please help
Final answer:
The probability that the first officer chosen is a girl and the second is a boy is 1/4.
Explanation:
To find the probability that the first officer chosen is a girl and the second is a boy, we can use the concept of dependent events.
When the first officer is chosen, there will be 6 girls left out of a total of 9 officers.
Therefore, the probability of selecting a girl as the first officer is 6/9.
After the first officer is chosen, there will be 3 boys left out of 8 officers. So, the probability of selecting a boy as the second officer is 3/8.
Since the events are dependent, we can multiply the probabilities of each event to get the probability of both events happening.
So, the probability of the first officer being a girl and the second officer being a boy is (6/9) * (3/8) = 1/4, which can also be written as 0.25 or 25%.
the temperature was -6 f. it rose so that the temperature was 0 f. what represents the change in temperature
Answer:
f + 6
Step-by-step explanation:
The change in temperature is 6 f.
Given,
The temperature was -6 f.
It rose so that the temperature was 0 f.
We need to find what represents the change in temperature.
Initial temperature = -6 f.
Final temperature = 0 f.
Let the change in temperature be M.
Now,
We have,
It rose so that the temperature was 0 f.
So we can write it as,
Initial temperature + M = final temperature
-6 f + M = 0 f
-6 f + M = 0
M = 0 + 6 f
M = 6 f.
Thus we see that the change in temperature is 6 f.
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Eliana owns the Blossom garden shop. To keep her plants healthy, she always adds 3 cups of fertilizer for every 8 cups of soil. She filled a large pot with 24 cups of soil for a ficus plant. How many cups of fertilizer should Eliana add to the pot?
Answer: Eliana should add 9 cups of fertilizer to the pot.
Step-by-step explanation:
Given , Eliana always adds 3 cups of fertilizer for every 8 cups of soil. .
As the quantity of fertilizer is proportional to the quantity of soil.
That means,
[tex]\dfrac{\text{Number of cups of fertilizer for 24 cups of soil}}{\text{24}}=\dfrac{\text{Number of cups of fertilizer for 8 cups of soil}}{8}\\\\\Rightarrow \dfrac{\text{Number of cups of fertilizer for 24 cups of soil}}{24}=\dfrac{3}{8}[/tex]
Multiply 24 on both sides , we get
[tex]\Rightarrow\ \text{Number of cups of fertilizer for 24 cups of soil}=\dfrac{3}{8}\times24=3\times3=9[/tex]
Hence, Eliana should add 9 cups of fertilizer to the pot.
Eliana should add 9 cups of fertilizer to the pot.
Explanation:To determine how many cups of fertilizer Eliana should add to the pot, we can use the given ratio of 3 cups of fertilizer for every 8 cups of soil. Since Eliana filled the pot with 24 cups of soil, we can set up the following proportion:
3 cups of fertilizer / 8 cups of soil = x cups of fertilizer / 24 cups of soil
By cross-multiplying and solving for x, we find that Eliana should add 9 cups of fertilizer to the pot.
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The value of Q is given by the relation Q = 17m. If m is an integer greater than 15 and less than 23, then which of the following is the value of Q?
complete question:
The value of Q is given by the relation Q = 17m. If m is an integer greater than 15 and less than 23, then which of the following is the value of Q?
A. 255
B. 290
C. 306
D. 391
Answer:
C. 306
Step-by-step explanation:
The equation is Q = 17m. m is an integer and it is greater than 15 and less than 23 . This means m can only be 16, 17, 18, 19, 20, 21 and 22.
Insert any of the value of Q from the options in the equation Q = 17m and solve the equation. The answer of m must be between 16 to 22.
let us try
option A
Q = 17m
255/17 = m
m = 15 (not A since it not greater than 15)
option B
Q = 17m
290/17 = m
m = 17.0588235294
(not an integer)
option C
Q = 17m
306/17 = m
m = 18
(correct . it is an integer and greater than 15 and less than 22)
option D
Q = 17m
391/17 = m
m = 23
(not less than 23)
Ava and Kelly ran a road race, starting from the same place at the same time. Ava ran at an average speed of 6 miles per hour. Kelly ran at an average speed of 8 miles per hour. When will Ava and Kelly be 3/4 miles apart?
Answer:
The answer is 0.375 hours
Step-by-step explanation:
Answer:
22.5 minutes
Step-by-step explanation:
which the top guy accidently made in decimal of an hour
GIVING AWAY A LOT OF POINTS!!
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.
When m∠2 = m∠ C
Answer:
None
Step-by-step explanation:
If Angles B and D were equal, then:
AB // CD
And
BC // AD
Since we don't have any such information, we can not call any of them parallel
Which statement is true?
A. 60 cL = 600 dL
B. 60 kL = 0.06 L
C. 60 dL = 6000 mL
D. 60 hL = 60000L
Answer:
C. 60 dL = 6000 mL
60 x 100 = 6000
Step-by-step explanation:
Formula: multiply the value by 100
Final answer:
The statement that is true is D, which correctly states that 60 hectoliters are equal to 60000 liters, as 1 hectoliter equals 1000 liters.
Explanation:
The student has asked which statement is true regarding the comparison of different units of volume measurement. Only one of the statements given represents an accurate conversion:
Answer D
60 hectoliters (hL) equals 60000 liters (L). This is true because 1 hectoliter is equivalent to 1000 liters. Hence, if we have 60 hectoliters, we multiply 60 by 1000 to find the conversion in liters:
60 hL * 1000 L/hL = 60000 L
Therefore, statement D is correct.
So anyone know how to do these
Answer:
1) A
2) B
Step-by-step explanation:
The formula of rate of change from a certain number to another is
f(b) - f(a)
-----------
b - a
(i tried making a fraction if u couldnt tell)
Now substitute the values of x into the equation
(3*(-1) + 2) - (3*(1) +2)
----------------------------
-1 - 1
now combine everything together:
(-3+2) - (3+2)
------------------
-2
-1 - 5 -6 3
------- = ------- = ----
-2 -2
now do the same for the second question
(0^2 + 3) - (3^2 + 3) (3 - 12) -9 3
-------------------------- = ---------- = ---------- = ----- (answer choice B)
0 - 3 -3 -3
-7d - 3 = 11
what's the answer please
Answer:
-2
Step-by-step explanation:
add 3 to 11 and then divide 14 by -7
Answer:
d = -2
Step-by-step explanation:
-7d - 3 = 11
-7d = 11 + 3
-7d = 14
d = 14/-7
d = -2
hope it helps!
Find the area of the shaded section round your answer to the nearest whole number you must multiply by pi
A. 3 sq units
B. 2 sq units
C. 2.6 sq units
D. 7 sq units
Answer:
A
Step-by-step explanation:
So first you need to know the formula for the area of a segment of a circle which is... A = 0.5 × (θ - sinθ) × r²
*make sure that you do this question in RADIANS
You know that θ (the angle) is 90° which is equal to π/2 and the radius is 3, so from here you just plug in numbers to the equation.
A = 0.5 × ( π/2 - sin(π/2)) × 3²
A = 2.5685... sq units = 3 sq units
please hurry and help me!!!!
find the semicircular. Either enter an exact answer in terms of n pi or use 3.14 for n and enter your answer as a decimal.
Answer:
Area = 25.12 square units.
Perimeter = 20.56 units
Step-by-step explanation:
If you are looking for area, here goes:
Area of circle = π * r^2
Area of semi-circle = S = (1/2) *π * r^2
S = (1/2)*π*(4^2) = (1/2)π*16 = 8π square units = 25.12 square units
Or if you are looking for the perimeter:
Circumference C = 2*π*r
Half-circumference = (1/2)C = (1/2)*2*π*r = π*r = π*4
Perimeter of semi-circle = 4 + 4 + 4π = 8 + 4π
The cell phone company decided to collect similar data but this time they collected information of texting speed according to age. Use the process of creating a scatter plot to describe how to create a scatterplot of the new data.
Step-by-step explanation:
As we know, Scatter plots resembles line graphs in that they are plotted on the x and y axis and the purpose of a scatter plot is to shows if the variables are related to each other. If yes, they can draw a line of best fit which can expose or go through most of the points in the plot.
Given the information in the question, we know:
"they collected information of texting speed according to age"
=> We have 2 variables here which are age and (texting speed)
Step 1:
Label the x-axis the input variable (age) Label the y-axis the output variable (texting speed)Step 2: Plot the points according to age and texting speed
Hence, from that plot, it could have two cases in the relation of age and texting speed which are "the more time, more text is written", or "the less time, more text is written".
Answer:
Label axes according to input and output variables. Plot the ordered pair of the independent and dependent variable on the coordinate plane. Identify if there is a relationship between the variables.
Step-by-step explanation:
Find the length of the hypotenuse of this triangle,
round your answer to the nearest whole number
6.4
8.9
Answer:
8.9 9
6.4 6
Step-by-step explanation:
Answer:
Using the formula a² + b² = c², we can plug in those two numbers, which I assume are the legs, to get our answer.
- Once we plug it in, we have to isolate the variable.
THEN
- We must square root (√) the final answer. Like so:
6.4² + 8.9² = c²
DO: The variable is already isolated, so we must do this a little differently. We'll square each number like it shows, and then add the two numbers together.
6.4² = 40.96
8.9² = 79.21
NOW: We can add them together.
40.96 + 79.21 = 120.17
LOOK: 120.17 = c²
We must now get rid of the 2, by square rooting both sides!
10.9622078068 = c
TO THE NEAREST WHOLE NUMBER: 11
ANSWER:
11
Help on all 4 please! The abbreviations are: Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Angle-Angle-Side
Answer:
im pretty sure the answers are
6) c
7) c
8) c
9) a
Step-by-step explanation:
Answer: im pretty sure the answers are
6) c
7) c
8) c
9) a
Step-by-step explanation:
A parks and recreational board in Birch County is interested in estimating the proportion of its residents in favor of having more public parks in that county. A random sample of Birch County residents was selected. All the selected residents were asked, "Are you in favor of having more public parks in your county?" A 98% confidence interval for the proportion of residents in favor of having more public parks in that county was calculated to be 0.54 ± 0.03. Which of the following statements is correct?
a. At the 98% confidence level, the majority of area residents is in favor of having more public parks in that county.
b. At the 98% confidence level, the estimate of 0.54 is within 0.03 of the true proportion of county residents in favor of having more public parks in that county.
c. In repeated sampling, 98% of sample proportions will fall in the interval (0.51, 0.57).
d. In repeated sampling, the true proportion of county residents in favor of having more public parks in that county will fall in the interval (0.51, 0.57).
e. In repeated sampling, 98% of the time the true proportion of county residents in favor of having more public parks in that county will be equal to 0.54.
Answer:
B.
Step-by-step explanation:
Trust me.
I just did it.
The correct statement is:
In repeated sampling, the true proportion of county residents in favor of having more public parks in that county will fall in the interval (0.51, 0.57).
Option D is the correct answer.
What is a confidence interval?A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.
It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.
We have,
The 98% confidence interval for the proportion of residents in favor of having more public parks in the county is 0.54 ± 0.03.
This means that we are 98% confident that the true proportion of residents in favor of having more public parks in the county falls within the interval from 0.51 to 0.57.
Now,
The correct statement is:
In repeated sampling, the true proportion of county residents in favor of having more public parks in that county will fall in the interval (0.51, 0.57).
Option a is incorrect because we cannot determine whether the majority of residents are in favor of having more public parks based solely on the confidence interval.
Option b is incorrect because we cannot determine whether the estimate of 0.54 is within 0.03 of the true proportion of county residents in favor of having more public parks based solely on the confidence interval.
Option c is incorrect because it is a statement about the probability of the sample proportion falling within the interval in repeated sampling, which is not the same as the true proportion falling within the interval.
Option e is incorrect because it is a statement about the probability of the true proportion being equal to 0.54 in repeated sampling, which is not necessarily true based solely on the confidence interval.
Thus,
The correct statement is:
In repeated sampling, the true proportion of county residents in favor of having more public parks in that county will fall in the interval (0.51, 0.57).
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Plz Help me!!!
Factor the Trinomial...
a^2+8a+15
Answer:
(a+5)(a+3)
Step-by-step explanation:
a²+8a+15
=a²+3a+5a+15
=a(a+3)+5(a+3)
(a+5)(a+3)
hope this helps
plzz mark me brainliest
Answer:
factor the trinomial a^2-8a+15 using th ac method.
Step-by-step explanation:
(a+3) (a+5)
How is geometry fundamental to being a pediatrician?
Answer:
Pediatricians use numbers to calculate the patient's growth, they also use numbers to calculate the amount of liquid in a given shot or vaccine. Children's weight and height are measured in kilograms and centimeters. They also use math to change kilograms to pounds and centimeters to inches.
Step-by-step explanation:
Answer:
Conversions
Medications are prescribed using the metric system and Apothecary's Measure. The former uses grams and milliliters, while the latter is a medieval system using grains, scruples, drams, minims, fluid drams, fluid ounces, pints, quarts and gallons. Because the United States doesn't use the metric system, pediatricians must convert between these systems. Strong algebra skills are crucial, as mistakes in prescriptions can have catastrophic results.
Fractions
Much of a pediatrician's work involves taking accurate measurements. When measuring a patient's heart rate, pediatricians must know to divide the number of heart beats by the amount of time passed. They must know how to interpret blood pressure measurements, which are expressed as fractions. They may have to explain to a patient that body mass index, an important measure of health, is equal to his weight divided by his height squared. Equations
Specialists in pediatrics may require knowledge of more advanced mathematical concepts. Research pediatricians use math to analyze data for useful results. Those who work with complex internal systems, such as the cardiovascular system, use advanced equations and formulas to check on the status of organs. Pediatricians must also be able to communicate mathematical results to patients in language that is easily understood.
Other
Pediatricians regularly check the growth and development of patients. They develop growth charts, measure children's height and weight, and assess their overall development over time. They also use math to calculate how much medicine to administer in shots, measured in cubic centimeters or milliliters.
Waffles are made with 2 1/2 cups water and 1 1/2 cups milk. What is the ratio of water to milk?
Answer:
5 : 3
Step-by-step explanation:
Water: 2.5 cups
Milk: 1.5 cups
Water/Milk: 2.5/1.5 = 5/2 / 3/2 = 5/2 * 2/3 = 5/3
Hope this helps :)
The ratio of water to milk in the waffles will be 5 : 3.
What is ratio?The quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
Given is that waffles are made with 2 1/2 cups water and 1 1/2 cups milk.
We can write the given mixed fractions as proper fractions -
2[tex]\frac{1}{2}[/tex] = 5/2 = W
1[tex]\frac{1}{2}[/tex] = 3/2 = M
Now, we can write the ratio of water to milk as -
[W]/[M] = (5/2)/(3/2) = 5/2 x 2/3 = 5/3
Therefore, the ratio of water to milk in the waffles will be 5 : 3.
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A pencil holder contains only six blue pencils and three red pencils. If two pencils are drawn at random, what is the probability both are blue?
The probability that both pencils drawn from the pencil holder are blue is 5/12.
What is the probability?Probability is used to calculate the odds that an event would occur. The probability that the event would occur lies between 0 and 1.
The probability that both are blue = (number of blue pencils / total number of pencils) x (number of blue pencils / total number of pencils - 1)
6/9 x 5/8 = 5/12
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