Answer:
Option A) Only graph A represents a proportional relationship
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
therefore
Graph A represent a proportional relationship, because the line passes through the origin
Answer: GRAPH B
Step-by-step explanation: i got it right
Kiera used place value and the distributive property to find the product of 12 and 597. Her work is shown below. 12(597) = 12(500 + 90 + 7) = 12(500) + (90)(7) = 6000 + 630 = 6,630 What is Kiera’s error?
Answer:
(90)(7) ⇒ the error was multiplying 90 and 7.
Step-by-step explanation:
12(597) = 12(500 + 90 + 7)
= 12(500) + (90)(7)
= 6000 + 630
= 6,630
The part in bold shows where the error is. It was not correct to multiply 90 and 7.
The process was to proceed as follows:
12(597) = 12(500 + 90 + 7)
= 12(500) + 12(90) + 12(7)
= 6000 + 1080 + 84
= 7,164
Answer: Kirera did not multiply each added by 12.
Juarez scored 32 points in a basketball game. He scored twice as many basket How many baskets did he s worth 3 points than baskets worth 2 points. score worth 3 points and how many did he score worth 2 points?
Answer:
8, 3 pointers =24 points 4, 2 pointers = 8points 24+8= 34 points
Step-by-step explanation:
Answer:
8 baskets worth 3 points each and 4 baskets worth 2 points each = 32 points
What is the solution to the system of equations Y equals -1/4 X +2 and 3Y equals -3/4 X -6
Answer:
No solutions
Step-by-step explanation:
y = -1/4 x+2
3y = -3/4 x -6
We can use substitution since the first equation is solved for y
Every time there is a y in the second equation, replace it with -1/4 x +2
3 (-1/4 x+2) = -3/4 x -6
Distribute
-3/4 x +6 = -3/4 x-6
Add 3/4 x to each side
-3/4 x + 3/4 x +6 = -3/4 x + 3/4x-6
6 = -6
Since this not a true statement, the system of equations has no solutions
7. Multiply the binomials: (x - 9)(x + 2)
a. x^2 - 7x - 18
b. x^2 - 11x - 18
c. x^2 - 7x + 18
d. x^2 + 7x - 18
Answer:
the answer is a. x^2-7x-18
first you distribute the x in the first equation getting you x^2 +2x, then you distributed the -9 getting -9x-18. you then put those together, x^2+2x-9x-18. Finally you simplify to x^2-7x-18
PLEASE HELP MEH!
I've literally been stuck on this question for 4 hours, tried to get help from my dad, tried to get help from Khan Academy. NOTHING IS WORKING! IF SOMEONE CAN HELP I WILL MARK BRAINLIEST. I need to solve for x and y which is blank.
Answer: x=72, y=26
Step-by-step explanation:
Since a line is 180°, we can do:
2x+10+y=180
2x+y=170
Since a triangle is 180° also, we can do:
x+y+82=180
x+y=98
If we subtract x+y=98 from 2x+y=170, we get:
2x+y=170
x+y=98
x=72
If we insert x=72 into x+y=98, we get:
72+y=98
y=26
We can check our answer by inserting x=72 and y=26 into x+y+82=180
72+26+82=180
98+82=180
180=180
Is 5/7 greater than 71%
Answer:
no, its equal. 5/7 = 0.7142 which is 71%
Step-by-step explanation:
I need the answer ASAP!!
Answer:
40
Step-by-step explanation:
15 divided by 3 is 5 and since it is 5 per hour 8 times 5 is 40
Answer:
$40
Step-by-step explanation:
So if Logan's rate is $15/3 hours = $5 per hour,
Then $5 × 8 hours = $40 in total.
Hope this helps! Have a nice day!
Cindy can read in different amounts of time 10 pages in 8minutes, 15 pages in 12 minutes and 25 pages in 20 minutes what is the constant of proportionality?
Cindy's reading rate is consistent at 1.25 pages per minute, which is the constant of proportionality for the different reading sessions mentioned.
Explanation:The question is asking for the constant of proportionality in the context of how many pages Cindy can read over a period of time. To find the constant of proportionality, we take the number of pages read and divide it by the time taken to read those pages. For 10 pages in 8 minutes, the constant is 1.25 pages per minute. For 15 pages in 12 minutes, the constant is also 1.25 pages per minute, and for 25 pages in 20 minutes, the constant remains unchanged at 1.25 pages per minute.
The constant of proportionality is the rate at which Cindy reads, which is consistent across the different amounts of time and pages given. It represents the number of pages she can read in one minute and serves as a useful measure to determine how long it will take to read a certain number of pages or how many pages can be read in a given timeframe.
the solution to 4p+2<2(p+5)
show work plzz
realy need helpp
Answer:
p<4
Step-by-step explanation:
4p+2<2(p+5)
The first step is to distribute the 2
4p + 2 < 2p + 2*5
4p +2 < 2p + 10
Subtract 2p from each side
4p +2 < 2p + 10
4p-2p +2 < 2p-2p +10
2p+2 <10
Subtract 2 from each side
2p+2-2<10-2
2p<8
Divide each side by 2
2p/2 <8/2
p<4
[tex]4p+2<2(p+5)\qquad\text{divide both sides by 2}\\\\\dfrac{4p}{2}+\dfrac{2}{2}<\dfrac{2(p+5)}{2}\\\\2p+1<p+5\qquad\text{subtract 1 from both sides}\\\\2p<p+4\qquad\text{subtract p from both sides}\\\\\boxed{p<4}[/tex]
solution to 3x = 156
Answer:
x=52
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
156 divided by 3= 52
3*52=156
Write a recursive formula for the arithmetic sequence
Answer:
a1 = 2; an = a(n-1) + 3/2
Step-by-step explanation:
Common difference = 7/2 - 2
= 7/2 - 4/2
= 3/2
(Also 5 - 7/2 = 3/2.)
First term a1 = 2
So the formula is a1 = 2; an = a(n-1) + 3/2 which is the first choice.
The recursive formula for the arithmatic sequence is a₁ = 2, aⁿ = aⁿ⁻¹ + 3/2.
What is recursive formula?A recursive formula is a formula that defines any tern of a sequence in terms ofits preceding term(s).
Now the given series is-
2,7/2,5,13/2,......
Here the the first term of the series is 2
⇒a₁ = 2
Common difference (d) = (7/2) - 2 = 3/2
Now the recursive formula of an arithmatic sequence is given as,
aⁿ = aⁿ⁻¹ + d
Putting the values,
aⁿ = aⁿ⁻¹ + 3/2
Hence,the recursive formula for the arithmatic sequence is a₁ = 2, aⁿ = aⁿ⁻¹ + 3/2.
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If triangle CFH is similar to triangle TDM with a scale factor of 4: 5 find the perimeter of CFH
Answer:
Given: If triangle CFH is similar to triangle TDM with a scale factor of 4: 5.
Similar triangle states that the two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
then by definition, we have;
[tex]\frac{CF}{TD}= \frac{FH}{DM} =\frac{CH}{TM}= \frac{4}{5}[/tex] .....[1]
From the figure, we have;
CF = x +7 , FH = x-1 , CH = x+3 , TD = 2x -13 , DM = x+6 and TM = x+ 11
Solve for x;
[1] ⇒ [tex]\frac{CF}{TD} =\frac{4}{5}[/tex]
Substitute the value of CF and TD to solve for x;
[tex]\frac{x+7}{2x-13} = \frac{4}{5}[/tex]
By cross multiply we get;
[tex]5 (x+7) = 4(2x-13)[/tex]
Using distributive property : [tex]a\cdot(b+c) = a\cdot b + a\cdot c[/tex]
5x + 35 = 8x - 52
Subtract 35 on both sides we get;
5x + 35 -35 = 8x - 52 -35
Simplify:
5x = 8x - 87
Subtract 8x on both sides we get;
5x -8x = 8x -87 -8x
Simplify:
-3x = -87
Divide both sides by -3 we get;
x = 29
To find the perimeter of triangle CFH;
Sides are:
CF = x + 7 = 29 + 7 = 36 units
CH = x+3 = 29 +3 = 32 units
FH = x -1 = 29 -1 = 28 cm.
Perimeter of any triangle is the sum of all the sides of the triangle.
Perimeter of triangle CFH = CF + CH + FH = 36 + 32 + 28 = 96 units
therefore, the perimeter of triangle CFH is, 96 units.
Without the perimeter of triangle TDM, we can't calculate the perimeter of triangle CFH using only the scale factor. When additional information is provided such as the length of a side in both triangles, it will be possible.
Explanation:The subject of this question is mathematics, specifically regarding similar triangles and the calculation of a triangle's perimeter when the scale factor is provided. In this case, the triangles CFH and TDM are similar with a scale factor of 4:5.
When triangles are similar, corresponding sides are proportional which means one side of triangle CFH is 4/5 the length of the corresponding side of triangle TDM. If we were given the perimeter of triangle TDM, we would multiply by the ratio (4/5 or 0.8) to get the perimeter of triangle CFH. However, without this extra information, we aren't able to provide the exact perimeter of triangle CFH.
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Does (6 , -3) make the equation y=-2x true ?
Answer:
No
Step-by-step explanation:
Note that:
(x , y) = (6 , -3) ∴ x = 6, y = -3
Plug in 6 for x in the equation, and -3 for y.
y = -2x
(-3) = (-2)(6)
Simplify. Multiply.
(-3) = (-12)
-3 ≠ -12 ∴ (6 , -3) is not a solution for y = -2x
~
Answer:
False
Step-by-step explanation:
(6,-3) means x=6 and y=-3
Substitute into the equation
y= -2x
-3 = -2(6)
-3 = -12
This is false
agent burn transferred classified files from the CIA Mainframe into his flash drive the drive had 36.5 megabytes on it before the transfer and the transfer happened at a constant rate after 125 seconds there were 549 megabytes on the drive the drive had a maximum capacity of 1000 megabytes. What was the speed of the transfer
Answer:
see below PLEASE GIVE BRAINLIEST
Step-by-step explanation:
549 - 36.5 = 512.5mb were trf
512.5/125 = 4.1mb per second
Answer:
Step-by-step explanation:
The speed of the transfer was 4.1 megabytes per second. It took the drive 235 seconds to be completely full.
A volume of the triangular block is 4 cubic inches, what is the approximate length of y? Round to the nearest tenth of an inch
Answer:
2.8 inches will be the approximate length of the y.
Step-by-step explanation:
volume = 1/2 x A x C x H = 4 cubic inches
Because the volume of the triangular block is 4 cubic inches.
Formula:
A x C = Base x Height
Answer:
2.8 in
Step-by-step explanation:
luna ray has 1 orange pick for every 2 green picks. how many green picks does luna have if she has 12 total picks.
Answer:
8 green
Step-by-step explanation:
orange: green
1 :2
1+2 = 3 so she has 3 total picks
12/3 =4
So we need to multiply by 4
1*4 : 2*4 total pick 3*4
4:8 12 total picks
4 orange 8 green 12 total
Mark the points (10, 14), (15, 11.11), and (10, 8.22). Enter the coordinates in the input window, if you wish. Then connect the points to form a triangle. Part A Measure the lengths of the sides of the triangle and record them in the table.
Answer:
The points form a equilateral triangle of side 5.78 units.
Step-by-step explanation:
The length of the sides of the triangle is calculated using the distance formula.
The distance between the points (x₁,y₁) and (x₂,y₂) is
[tex]d= \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
Now,
AB = [tex]\sqrt{(11.11-14)^{2}+(15-10)^{2}}=\sqrt{8.3521+25} = \sqrt{33.3521}=5.78[/tex]
BC = [tex]\sqrt{(8.22-11.11)^{2}+(10-15)^{2}}=\sqrt{8.3521+25} = \sqrt{33.3521}=5.78[/tex]
CA = [tex]\sqrt{(8.22-14)^{2}+(10-10)^{2}}=5.78[/tex]
The length of the sides of the triangle is 5.78. All the sides are equal in length. It is an equilateral triangle.
Lee wants to collect 22 of a certain type of action figure. He had 11 of the figures, then got 3 more for his birthday. What decimal represents the part of Lee's goal that he had reached?
To solve this problem, we must first find the fraction of action figures that Lee has gotten so far. To do this, we will represent the number of action figures that Lee currently has in the numerator divided by the denominator, the total number of action figures that Lee is attempting to collect.
First, we must recognize that Lee currently has 11 action figures plus the 3 that he got for his birthday. To find the total number of action figures that Lee has, we must add together these two parts.
11+3 = 14
Therefore, Lee has 14 action figures (this will become the numerator of the fraction). The denominator of the fraction is the total number of action figures, which we are given is 22.
Thus, our fraction is 14/22.
To convert this into a decimal, we can simply divide the numerator of the fraction by the denominator of the fraction, which gives us:
14/22 = 0.636363636
Therefore, your answer is approximately 0.636.
Hope this helps!
In the game "let's make a meal," there are 10 covered dishes to choose from: 2broccoli,2cake,2 carrot,1chicken,2fish,and 1 meatloaf
What is the probability of choosing a vegetable
A:4/5
B:1/2
C:1/10
D:2/5
Answer:
D:2/5
Step-by-step explanation:
There are 4 vegetables to choose from; 2 broccoli and 2 carrots.
This is out of 10 covered dishes.
This gives the probability 4/10, which simplifies to 2/5.
Answer : The correct option is, (D) [tex]\frac{2}{5}[/tex]
Step-by-step explanation :
Probability : It is defined as the extent to which an event is likely to occur. That means, it is measured by the ratio of the favorable outcomes to the total number of possible outcomes.
[tex]\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}[/tex]
Total favorable outcomes are, 2 broccoli, 2 cake, 2 carrot, 1 chicken, 2 fish, and 1 meat loaf = 10
Favorable outcomes of choosing a vegetable are, 2 broccoli and 2 carrot
Number of favorable outcomes of choosing a vegetable = 4
Total number of outcomes = 10
[tex]\text{Probability}=\frac{\text{Number of favorable outcomes for a multiple of 3}}{\text{Total number of favorable outcomes}}[/tex]
[tex]\text{Probability}=\frac{4}{10}[/tex]
[tex]\text{Probability}=\frac{2}{5}[/tex]
Therefore, the probability of choosing a vegetable is, [tex]\frac{2}{5}[/tex]
Which of the following best describes the relationship between (x + 1) and the polynomial -3x3 - 2x2 + 1?
A.
(x + 1) is a factor.
B.
It is impossible to tell whether (x + 1) is a factor.
C.
(x + 1) is not a factor.
Answer:
(C) (x+1) is not a factor
Step-by-step explanation:
To show that x+1 is not a factor, in other words to show that the polynomial cannot be written as a product
[tex](x+1)\cdot(some\,\,quadratic)=-3x^3-2x^2+1[/tex]
it suffices to test that x=-1 is not a root of the original cubic:
[tex]-3x^3-2x^2+1|_{x=-1}=-3(-1)^3-2(-1)^2+1=2\neq 0[/tex]
which is hereby shown and the option (A) is out.
Option (B) is non-sense.
Option (C) is the correct answer.
After applying the Factor Theorem, we find that substituting -1 into the polynomial [tex]-3x^3 - 2x^2 + 1[/tex] does not yield zero; hence, (x + 1) is not a factor, option C.
The student has asked whether (x + 1) is a factor of the polynomial [tex]-3x^3 - 2x^2 + 1[/tex]. To determine if (x + 1) is indeed a factor, one could perform polynomial division or apply the Factor Theorem. According to the Factor Theorem, (x + 1) is a factor if and only if substituting -1 for x in the polynomial yields zero. Substituting, we get:
[tex]-3(-1)^3 - 2(-1)^2 + 1 = 3 - 2 + 1 = 2[/tex]
Since the result is not zero, (x + 1) is not a factor of the polynomial. So, the correct answer to the student's question is option C: (x + 1) is not a factor.
517x82= what is the anser
Answer:
The answer is 42394
Simplify.
4(x − 5) + 2(y + 6) − 10
A) 4x + 2y − 18
B) 4x + 2y + 18
C) 4x + 2y − 9
D) 6xy − 15
Answer:
2y+4x-18
Step-by-step explanation:
4(x-5) +2(y + 6) -10
4x-20+2y+12-10
4x+2y-18
The expression 4(x-5) + 2(y+6) - 10 simplifies to 4x + 2y - 18 using the distributive property and combining like terms. Answer choice (A) is the correct one.
Explanation:To simplify the expression 4(x - 5) + 2(y + 6) - 10, you need to use the distributive property. This property allows you to multiply a number outside of a bracket with each term inside the bracket.
First, distribute 4 into (x - 5) which gives you 4x - 20. Then distribute 2 into (y + 6) which gives you 2y + 12. Now, you have 4x - 20 + 2y + 12 - 10
Combine like terms by adding or subtracting them. In this case, -20, +12 and -10 are like terms. When you add these together, you get -18. So, the simplified expression becomes 4x + 2y - 18. Therefore, answer choice (A) is correct.
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98 POINTS!
Which of the following is a chord of D ?
AD
AC
BC
BD
____________________________
What is the measure of 1 in the trapezoid?
110°
55°
165°
85°
______________________________________________________
Select all that apply.
Describe the transformations.
The yellow rectangle was translated up 3 units and reflected over the y -axis.
The yellow rectangle was translated right 5 units and reflected over the x -axis.
The yellow rectangle was reflected over both axes.
The yellow rectangle was translated right 5 units and up 3 units.
Answer:
1. BD
2. 55°
3. The shape was reflected over both axes
This what I answered
Step-by-step explanation:
Solve the inequality and express your answer in interval notation. x^2+8x+5<0
Answer:
-7.32 < x < -0.68 0r -4-√11 < x < √11 - 4
Step-by-step explanation:
The given inequality is x^2 + 8x + 5 < 0
Here we cannot factorize, so we need to use the quadratic formula to find the solution.
The quadratic formula x = [tex]\frac{-b +/- \sqrt{b^2 - 4ac)} }{2a}[/tex]
Here a = 1 , b = 8 and c = 5
Plug in these values in the formula, we get
x = -8 ± √(8)^2 - 4*1*5) ÷ 2(1)
x = (-8 ±√44)/2
x = (-8 ±2√11)/2
x = -4 ± √11
There are two values for x.
x = -4 + √11 and x = -4-√11
√10 = 3.16
So x = -4 + 3.32 and x = -4 - 3.32
x =-0.68 and x = -7.32
This means
-7.32 < x < -0.68 0r -4-√11 < x < √11 - 4
Thank you.
Answer:
[tex]-4-\sqrt{11} <[/tex] x [tex]-4+\sqrt{11}[/tex]
Step-by-step explanation:
We are given the following quadratic inequality by applying the quadratic formula to solve it (since it can not be factorized) and then express it in an interval notation:
[tex]x^2+8x+5<0[/tex]
We know the quadratic formula:
[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]
Putting in the values to get:
[tex]x=\frac{-8+-\sqrt{8^2-4(1)(5)} }{2(1)} \\\\x=\frac{-8+-\sqrt{44} }{2}[/tex]
[tex]x=-4-\sqrt{11} , x=-4+\sqrt{11}[/tex]
Therefore, the interval notation for the given quadratic inequality for x will be:
[tex]-4-\sqrt{11} <[/tex] x [tex]-4+\sqrt{11}[/tex].
you buy 3 pairs of pants for $19 each and 5 shirts for $10 each. which of the following is a good estimation of how much money you spent?
A. 110
B. 150
C. 190
D. 230
E. 270
Answer:
110
Step-by-step explanation:
cause you would have to multiply the you bought to the cost of them and you add those two totals together
Answer:110
Step-by-step explanation:
19times3=575times10=5057+50=107estimation is 110Find the sum or different 11/18-1/6
Answer:
4/9
Step-by-step explanation:
11/18-1/6
The first step is to get a common denominator, which is 18. We can multiply 1/6 by 3/3 to get the denominator to 18
11/18 - 1/6 *3/3
11/18 - 3/18
8/18
Now we can simplify the fraction by dividing the top and bottom by 2
4/9
Answer:
4/9
Step-by-step explanation:
11/18 - 1/6
1 times by 3
6 times by 3
11/18-3/18
8/18
8 divided by 2
18 divided by 2
4/9
Harper fills pots each with 4 liters of water how many liters of water does he pour into the pots?
Answer:
12 liters of water
Step-by-step explanation:
3 times 4 =12 liters
Answer:
12 liters
Step-by-step explanation:
You have 3 pots and 4 liters in each so you would multiply these two numbers and you will get 12:
3 × 4 = 12
Solve the word problem.
The table shows the low outside temperatures for Monday, Tuesday, and Wednesday.
What was the change in the low outside temperature from Tuesday to Wednesday?
This function table shows the outside temperature for a given day. Monday, -12.5 (degrees celsius). Tuesday, -8.6 (degrees celsius). Wednesday, -10 (degrees celsius).
–10⁰
–1.4⁰
18.6⁰
–18.6⁰
The change in low outside temperature from Tuesday to Wednesday was -1.4°C, indicating a decrease of 1.4°C. Converting 88°F to Celsius yields approximately 31.1°C. The Celsius scale is known as 'centigrade' due to its 100-degree division between water's freezing and boiling points.
Explanation:To solve for the change in low outside temperature from Tuesday to Wednesday, we subtract the low temperature for Wednesday from the low temperature for Tuesday:
Change in temperature = Temperature on Wednesday - Temperature on Tuesday
Change in temperature = (-10°C) - (-8.6°C)
Change in temperature = -10°C + 8.6°C = -1.4°C
Thus, the low outside temperature changed by -1.4°C from Tuesday to Wednesday, which means it dropped by 1.4°C.
1. To convert the temperature from Fahrenheit to Celsius:
C = (°F - 32) / 1.8. So on a warm day of 88°F:
C = (88°F - 32) / 1.8 = 56°F / 1.8 = 31.1°C approximately.
2. The Celsius scale is called "centigrade" because it is based on a scale of 100 degrees between the freezing and boiling points of water.
3. If the outside temperature is steady at 10°C and you want to maintain a shorts-and-short-sleeves comfortable inside temperature of 22°C compared to a cooler 13°C, you would need to expend more energy to maintain the higher temperature.
The difference in energy required will depend on factors like the insulation of the building, the heating system's efficiency, and the duration for which the higher temperature is maintained.
4. When a cold front causes a drop of 40.0°F:
Celsius decrease = 40.0°F / 1.8 = 22.2°C approximately.
5. Any change in temperature in Fahrenheit degrees is nine-fifths the change in Celsius degrees:
(Change in °F) * (5/9) = Change in °C
Thus, a change in Fahrenheit degrees is 9/5 times a change in Celsius degrees.
The correct answer is -1.4⁰.
To find the change in the low outside temperature from Tuesday to Wednesday, we need to subtract the temperature on Tuesday from the temperature on Wednesday.
The temperature on Tuesday is -8.6 degrees Celsius, and the temperature on Wednesday is -10 degrees Celsius.
To subtract -8.6 from -10, we can rewrite the equation as -10 - (-8.6). When we subtract a negative number, it is the same as adding the positive number. So, -10 - (-8.6) becomes -10 + 8.6.
When we add -10 and 8.6, we get -1.4.
Therefore, the change in the low outside temperature from Tuesday to Wednesday is -1.4 degrees Celsius.
So the correct answer is -1.4⁰.
Find the number if:
4% of it is 31% of 16.4
Solve for x. 5x-29> -34 OR 2x+31<29
Answer:
x>-1 and x<-1
Step-by-step explanation: