Answer: 95 children, 68 adults
Step-by-step explanation:
Let the number of children be y
Let the number of adults be z
The following equation can be gotten from the question:
y + z = 163 ...... equation i
1.5y + 2.5z = 312.5 ....... equation ii
Multiply equation I by 1.5
Multiply equation ii by 1
1.5y + 1.5z = 244.5 ......... equation iii
1.5y + 2.5z = 312.5 ........ equation iv
Then subtract equation iv from iii
-z = -68
z = 68
From equation I
y + z = 163
y = 163 - 68
= 95
95 children and 68 adults swam.
Consider the system of equations represented in the
graph.
y-x = 2
x + y = 4
Which is a solution to the system of equations?
1. (1.3)
2. (2.2)
3. (3, 1)
4. (4,2)
ONLY ONE ANSWER
Answer: 1. (1,3)
Step-by-step explanation:
Insert 1 for x and 3 for y. The equations will look like
3 - 1 = 2
1 + 3 = 4
Both equations are true when these numbers are inserted, therefore, the answer is (1,3).
Check all of the ordered pairs that satisfy the equation below.
y = 7x
A. (6,42)
B. (42,6)
C. (42,7)
D. (12, 84)
E. (84, 12)
F. (84, 14)
Answer:
A, D
Step-by-step explanation:
Your first clue is that y > x. That is only the case for choices A and D.
Answer:
A and D
Step-by-step explanation:
what is 4^4 . 4^44 please help
Answer:
4^48
Step-by-step explanation:
you add the exponents
Answer:
[tex]4^{48}[/tex]
Step-by-step explanation:
[tex]4^{4} *4^{44} =4^{48}[/tex]
You can just calculate this if you'd like and it'd still be the same answer...
Which best describes the data for June, July, and August?
A.a cluster
B. a gap
C. low frequency
D. Symmetric
Pls I need this really quick
Answer: A cluster.
Step-by-step explanation:
A cluster has ups and downs and one peak.
Answer:
A: a cluster
Step-by-step explanation:
Find the volume of the oblique cylinder. Round your answer to the nearest tenth.
Answer:
The Volume of an Oblique Cylinder:
An oblique cylinder, on the other side, is a cylinder whose base and top are not perpendicular to the sides. Interestingly, the volume of an oblique cylinder is the same as the volume of a right cylinder, and it is calculated as V=πr2h V = π r 2 h .
Step-by-step explanation:
What is the A ⋃ B for the venn diagram
Answer:
The elements contain in A U B is {11,12,13,14,15,16,17} .
There are 7 elements in A U B.
Which ordered pair must be removed to make the relation a function. {(1, −5), (2, −4), (3, 4), (4, 3), ( 3, -4)}
Answer:
I actually have no idea
Step-by-step explanation:
Answer:
either the ordered pair (3 , 4) or (3 , -4)
Step-by-step explanation:
a function is where there is only one x to each y value
each x value must not be the same
Segment KL is a diameter of circle Q. Circle Q is represented by the equation (x − 11)2 + (y + 15)2 = 7. What is KL?
A. 98
B. 14
C. 2 radical 7
D. radical 14
We have been given that segment KL is a diameter of circle Q. Circle Q is represented by the equation [tex]\left(x-11\right)^2+\left(y+15\right)^2=7[/tex]. We are asked to find the length of KL.
We know that standard equation of a circle is in form [tex]\left(x-h\right)^2+\left(y-k\right)^2=r^2[/tex], where point (h,k) represents center of circle and r represents radius of circle.
Upon comparing our given equation with standard equation of circle, we can see that the center of the circle is at point [tex](11,-15)[/tex] and [tex]r^2=7[/tex].
Let us solve for r by taking positive square root.
[tex]\sqrt{r^2}=\sqrt{7}[/tex]
[tex]r=\sqrt{7}[/tex]
We know that diameter is two times radius, so value of diameter KL would be 2 times r.
[tex]KL=2\cdot \sqrt{7}[/tex]
Therefore, the volume of KL is [tex]2\sqrt{7}[/tex] and option C is the correct choice.
What’s the answer?????????
In his living room rashad has a window shaped liked a rectangle . It is 7.2 feet high and 8.7 feet wide. What is the area of the window
Answer:62.64
Step-by-step explanation:
You have to multiply them
What is the value of x?
Enter your answer in the box.
Answer:
x=4
Step-by-step explanation:
to find RT, you would do the 60-60-90 rule and you would get 4, x and RT are the same value because of the 45-45-90 rule, so x=4
What number will make the proportion true? 6/12 = ?/18
Answer:
9/18
Step-by-step explanation:
Answer:
9/18
Step-by-step explanation: 9/18 and 6/12 both equal 1/2
What is the perimeter of a triangle with side lengths of 8 cm, 8 cm, and 3 cm?
Plz help
Answer:
19
Step-by-step explanation:
8+8+3 = 19
Find the slope of a line which goes through the points (2,5) and (−4,3)
Answer:
slope (m) = 0.75
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
1
3
= 0.33333333333333
θ =
arctan( ΔY ) + 180°
ΔX
= 198.43494882292°
ΔX = -4 – 2 = -6
ΔY = 3 – 5 = -2
Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368
Equation of the line:
y = 0.33333333333333x + 4.3333333333333
or
y =
1 x
3
+ 13
3
When x=0, y = 4.3333333333333
When y=0, x = -13
please mark brainliest
Find the circumference of a circle with a diameter of 5inches
Answer:
15.7
Step-by-step explanation:
5 times 3.14 will give you circumference of a circle
Answer:
15.7 in
Step-by-step explanation:
Circumference = pi × d
3.14 × 5
15.7 inches
Select the measurements that are equivalent to one hundred grams.
1,000 mg
10,000 cg
0.1 kg
10 hg
Answer:
100 grams is = to 0.1 kg
Step-by-step explanation:
100 grams is = to 10,000 mg which is incorrect. I am not sure what the other answer choices are, but C is your correct answer.
Final answer:
The measurements equivalent to one hundred grams are 10,000 centigrams (cg) and 0.1 kilograms (kg). The other options provided do not equal 100 grams.
Explanation:
To determine which measurements are equivalent to one hundred grams, we need to understand the relationship between different units of mass. In the metric system, mass is commonly measured in kilograms (kg), grams (g), and milligrams (mg), among others. Here is a reference based on the information you provided:
1 kilogram (kg) = 1000 grams (g)
1 gram (g) = 1000 milligrams (mg)
Now, let's evaluate each option provided in the question:
1,000 mg = 1 g (not 100 g)
10,000 cg = 100 g (since 1 g = 100 centigrams (cg))
0.1 kg = 100 g (since 1 kg = 1000 g)
10 hg = 1000 g (since 1 hectogram (hg) = 100 g)
Therefore, the measurements equivalent to one hundred grams are 10,000 cg and 0.1 kg.
90 is 45% of what number
Answer:
200
Step-by-step explanation:
90=.45x (x being the number)
(multiply by 100/45)
90(100/45)
9000/45=
x=200
The mean absolute deviation for each pizzeria is approximately 10. Approximately how many times the mean absolute deviation is the difference between the means of the data sets?
Answer:31
Step-by-step explanation:
The difference between the means would be twice the MAD (mean absolute deviation) in this case, as 20 is two times 10.
The student's question is about determining how many times larger the difference between the means of the two data sets is compared to the mean absolute deviation (MAD) of each pizzeria, which is given as approximately 10. To answer this, we need to know the means of both data sets in order to calculate the difference between them. Without this information, it's not possible to provide a specific number.
However, if the means of the two data sets were known, for example, if the mean of the first set was 20 and the mean of the second set was 40, then the difference would be 40 - 20 = 20. The difference between the means would be twice the MAD in this case, as 20 is two times 10.
A leading dental journal has claimed that 64% of young adults do not brush their teeth
regularly. A dental hygienist wants to conduct a survey to verify this with her young adult patients and wants to do so with a margin of error of +/-5%. What minimum sample size,
rounded to the nearest whole person, would the hygienist need to use?
Answer:
About 30%
Step-by-step explanation:
Well, um...
If 64% did not, then 36% of them do.
So, about 30% Do.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The measure of angle is 6. The measure of its reference angle is
9 and sin o is
Answer:
The measure of angle θ is 7π/6. The measure of its reference angle is 210°
and sin θ is -1/2.
Step-by-step explanation:
The correct question is:
The measure of angle θ is 7π/6. The measure of its reference angle is ___
and sin θ is ___
180° is equivalent to π radians. To transform 7π/6 radians to degrees, we have to use the following proportion:
180° / π radians = x° / (7π/6 radians)
x = (180/π) * (7π/6 radians)
x = 210°
And sin(210°) = -1/2
Which is the solution to the inequality? One-fourth + x less-than StartFraction 5 over 6 EndFraction x less-than StartFraction 7 over 12 EndFraction x greater-than StartFraction 7 over 12 EndFraction x less-than 1 and StartFraction 1 over 12 EndFraction x greater-than 1 and StartFraction 1 over 12 EndFraction
Answer:
A
Step-by-step explanation:
The required solution of the given inequality is given as x < 7/12. Option A is correct.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Given inequality,
One-fourth + x less-than StartFraction 5 over 6 EndFraction,
So, the Above expression is given as,
1/4 + x < 5/6
Subtract 1/4 from both sides,
1/4 + x - 1/4 < 5/6 - 1/4
x < [20 - 6] / 24
x < 14 / 21
x < 7 / 12
Thus, the required solution of the given inequality is given as x < 7/12. Option A is correct.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ5
The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen tried to find the change in temperature per hour. Her work is shown below. Negative 15 and one-half divided by 5 and three-fourths = negative StartFraction 31 over 2 EndFraction divided by StartFraction 23 over 4 EndFraction = negative StartFraction 31 over 2 EndFraction times StartFraction 23 over 4 EndFraction = Negative StartFraction 713 over 8 EndFraction When she checked the answer by estimating, it did not make sense. What error did Wen make? Wen incorrectly converted a mixed number to an improper fraction. Wen added the numerators and denominators instead of multiplying. Wen did not take the reciprocal of the divisor. Wen did not change the division problem to multiplication.
Answer:
C. Wen did not take the reciprocal of the divisor.
Find the slope of a line passing though the given points (1,4) (3,2)
explain how the formula for the volume of a cone is derived
Answer:
The volume of a cone is 1 3 π r 2 h \frac { 1 } { 3 } \pi r ^{ 2 } h 31πr2h, where r denotes the radius of the base of the cone, and h denotes the height of the cone.
Step-by-step explanation:
(happy to help)
Final answer:
The volume of a cone is derived using the principle of integrating infinitesimally thin discs along the height of the cone, given by the formula V = ⅓πr²h.
Explanation:
The formula for the volume of a cone is derived using calculus and geometric principles. Consider a cone generated by rotating a line around one of the coordinate axes. If we know the formula for the area A of a circle, it can be extended to find the volume of a cone. The area A of a circle is πr², where r is its radius. The formula for the volume V of a cone is ⅓ × base area × height, which can be expressed as V = ⅓πr²h, with h being the cone's height.
Using integral calculus, the cone's volume is found by stacking infinitesimally thin discs (each with volume πr²dx, where dx is the disc's thickness) along the cone's height. The radius r changes linearly from the base to the apex, following the relationship r = (h - x)tan(a), where a is the semivertical angle of the cone. Thus, you integrate from the apex (0) to the base (h) to find the entire volume of the cone.
A cell phone company is offering a special deal. If you choose from payment plans A, B, and C and one of four different phones, you can choose a free gift of a case, a car charger, or a memory card. What is the probability that Rusty will choose plan A, phone 2, and the car charger? (Find the sample space) *
A) 1/9
B) 1/18
C) 3
D) 1/36
Answer:
B
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
a 71.9%
b 18%
c 28.1%
39.1%
A salesperson earns a 2% commission rate on sales of camera equipment. Yesterday she earned $60 in commission. What were her sales that day?
To find the salesperson's total sales, we use the formula Commission = Sales x Commission Rate, where $60 is the commission earned at a 2% rate. Dividing $60 by 0.02 gives us the total sales of $3000 for that day.
The student has asked about calculating the total sales based on a commission earned by a salesperson. To find out the total sales we can use the formula: Commission = Sales * Commission Rate. Given that the salesperson earned a $60 commission at a 2% commission rate, we set up the equation: 60 = Sales * 0.02. To solve for Sales, we divide both sides by 0.02, which gives us Sales = 60 / 0.02. Thus, the total sales for that day were $3000.
There are 8 baseball players in the dugout for practice. Each player shakes hands with each of the other player ONLY ONCE.
How many handshakes are there?
Explanation:
There are 8 players. For each player, there are 7 people to shake hands with. So we have 8*7 = 56 handshakes so far; however, we double count since the sequence AB is the same as BA (where A and B are player names). Order does not matter when it comes to shaking hands. So we have to divide by 2 to fix the double count. We go from 56 to 56/2 = 28. There are 28 different combinations.
You can use the formula [tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex] with n = 8 and r = 2, but the formula is a bit confusing to be honest if you aren't familiar with it. The exclamation marks indicate factorials.
Extra info: The value 28 can be found in Pascals triangle. Look at the row that starts with 1, 8, ... then note how 28 is in the third slot. Keep in mind that you start at r = 0 and count up by 1. So r = 2 corresponds to the third slot.
Answer:
8 players in total
Step-by-step explanation:
Find the value of x in the following diagram.
Answer:
x = 3.5
Step-by-step explanation:
diameter = radius × radius
d= ( 3x + 1 ) + ( x + 8 )
3x + 1 = x + 8
subtract 1 and x
2x = 7
divide by 2
x = 3.5
If the spinner is spun 40 times, predict the number of times the spinner would land on Section B
Answer:
11
Step-by-step explanation:
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