Answer:
5 is the coefficient
Step-by-step explanation:
A gas pump fills 2^-2 gallon of gasoline per second. how many gallons does the pump fill in one minute?
Answer:
The gas pump filling the gallons in 1 minute will be: 15
Step-by-step explanation:
Given that a gas pump fills 2^-2 gallon of gasoline per second.As there are 60 seconds in 1 minute.
Thus,
Gas pump filling the gallons in 1 minute will be:
[tex]60\:\times 2^{-2}[/tex]
[tex]=60\times \frac{1}{2^2}[/tex] ∵ [tex]a^{-b}=\frac{1}{a^b}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}[/tex]
[tex]=\frac{1\times \:60}{2^2}[/tex]
[tex]=\frac{60}{2^2}[/tex]
[tex]=\frac{2^2\times \:3\times \:5}{2^2}[/tex]
[tex]=3\times \:5[/tex]
[tex]=15[/tex] gallons in one minute
Therefore, the gas pump filling the gallons in 1 minute will be: 15
Line segment NY has endpoints N(-11, 5) and Y(3,-3).
What is the equation of the perpendicular bisector of Ny?
Given:
Line segment NY has endpoints N(-11, 5) and Y(3,-3).
To find:
The equation of the perpendicular bisector of NY.
Solution:
Midpoint point of NY is
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-11+3}{2},\dfrac{5-3}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-8}{2},\dfrac{2}{2}\right)[/tex]
[tex]Midpoint=\left(-4,1\right)[/tex]
Slope of lines NY is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{-3-5}{3-(-11)}[/tex]
[tex]m=\dfrac{-8}{14}[/tex]
[tex]m=\dfrac{-4}{7}[/tex]
Product of slopes of two perpendicular lines is -1. So,
[tex]m_1\times \dfrac{-4}{7}=-1[/tex]
[tex]m_1=\dfrac{7}{4}[/tex]
The perpendicular bisector of NY passes through (-4,1) with slope [tex]\dfrac{7}{4}[/tex]. So, the equation of perpendicular bisector of NY is
[tex]y-y_1=m_1(x-x_1)[/tex]
[tex]y-1=\dfrac{7}{4}(x-(-4))[/tex]
[tex]y-1=\dfrac{7}{4}(x+4)[/tex]
[tex]y-1=\dfrac{7}{4}x+7[/tex]
Add 1 on both sides.
[tex]y=\dfrac{7}{4}x+8[/tex]
Therefore, the equation of perpendicular bisector of NY is [tex]y=\dfrac{7}{4}x+8[/tex].
write the point slope form of an equation with a slope of eight and a Y intercept of five
Answer:
y=8x+5
Step-by-step explanation:
Determine the equation of the line given by the graph.
A)y = -2/7x+2/5
B)y = -2/7x+5/2
C)y = -7/2x+2/5
D)y = -7/2x+5/2
Answer:
y=mx+c y= -2/7+5/2 if this is right can i get brainliest and if u need explanation just ask
Answer:
D. y = -7/2x+5/2
Step-by-step explanation:
The formula for the graph would be: y = mx + c where m is the slope and c is the y-intercept.
Based on the graph, you can see that the y-intercept is 5/2 (somewhere between 5 and 0) so A and C are out. Remaining are options B and C.
Now, the slope is either -2/7 or -7/2. We will have to calculate the slope then. I will be using the points (-1, 6) and (1, -1)
[tex]\frac{rise}{run}[/tex] = [tex]\frac{-1-6}{1-(-1)}[/tex]
= [tex]\frac{-7}{2}[/tex]
= -[tex]\frac{7}{2}[/tex] (Same as option D)
Thus, the equation would have been: -[tex]\frac{7}{2}[/tex]x + [tex]\frac{5}{2}[/tex]
O Slope: -1/2, x-intercept: 2, y-intercept: 1
Slope: -1/2, x-intercept: 1, y-intercept: 2
Slope: -2, x-intercept: 2, y-intercept: 1
O Slope: -2, x-intercept: 1, y-intercept: 2
Sherry has 1/4 as many crayons as Marie. Marie has 32 crayons. How many crayons does Sherry have?
Answer:
Sherry have 8 crayons.
Step-by-step explanation:
Marie has 32 crayons.
Sherry has 1/4 as many crayons as Marie.
We need to find how many crayons does Sherry have. It means we need to find 1/4 of 32. Let the answer is x.
[tex]x=\dfrac{1}{4}\times 32\\\\=8\ \text{crayons}[/tex]
Hence, Sherry have 8 crayons.
HELP ME PLEASEEEEEE
Answer:
The measure for angle 1 is 102 degrees. They would be interior angles because they add up to be 180 degrees.
Step-by-step explanation:
Hope this helps!! Please mark me brainliest!!
find the sum of -38 + (-57)
Answer: 19
Step-by-step explanation:
[tex]( - 38) + ( - 57) \\ = - 95[/tex]
Answer:-95
plz help i have a branliest
Answer:
Use a calculator lol
Step-by-step explanation:
Answer:
Step-by-step explanation:
s= 2, 2 and 11
I= 2, 5 and 3
u=2, 7 and 5
t= 2, 2, 3 and 3
b= 2, 2, 5 and 5
n= 2, 2, 19
p= 2, 3, 3 and 5
o= 2, 2 and 17
r= 3, 3 and 11
m= 2, 3, 3 and 7
d= 2, 3 and 7
e= 2, 2, 3 and 11
what is The slope of The line
Answer:
-1/4
Step-by-step explanation:hope this helps
btw can i have brainlliest?
Emily wants to determine the relationship between the number of people in a household (x) and the last 4 digits of their phone number(y) she selects 100 households in her town randomly and examined the data what is the best estimate of the correlation coefficient between x and y
Answer:
it should be -0.5
Step-by-step explanation:
which operation will solve the following word problem? Sydney needs to double a cookie recipe,the recipe calls for 2/12 cups of flour,how much flour will she need to double the recipe?
subtraction
multiplication
division
addition
Answer:
multiply by 2 to double something
Arrange the numbers 53 , 62 and 27 in order from least to greatest.
27, 53, 62
53, 27, 62
62, 53, 27
62, 27, 53
Answer:
The answer is 27, 53, and 62
Step-by-step explanation:
This is the answer because 27 is the lowest and then 53 and then you have 62 because it is the biggest.
Answer:
27, 53, 62
...................
Which situation represents a proportional relationship?
А.
The cost of purchasing t-shirts for $5.80 each.
B
The cost of purchasing belts for $11.00 each with a delivery charge of $3.50.
С.
The cost of purchasing a box of socks for $1.75 per sock plus $2.15 for the box.
D
The cost of purchasing pants for $21.50 each with a coupon for $3.25 off the total cost.
Answer:
С.
Step-by-step explanation:
From the options provided the only one that represents a proportional relationship was The cost of purchasing a box of socks for $1.75 per sock plus $2.15 for the box. This is because the total cost of the boxes depends on the number of socks that are bought since every pair of socks that are bought comes with a box which causes the total costs of the boxes to increase. Therefore, the number of sock pairs and the number of boxes has a proportional relationship.
How to simplify 1/3a+2/5a
Answer:
The simplified answer is 11a/15
Step-by-step explanation:
Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19.
Use the ranges listed in the table:
Range Number of Values
1 – 5
6 – 10
11 – 15
16 – 20
21 – 25
What value should be placed in the second column for the range 1 – 5?
A . 6
B . 5
C . 4
D . 3
HELP ASAP
Adam biked 6 3/4 miles to work and then 3 2/5 miles to the store. How many miles had he biked that day when he arrived at the store
Answer:
6 + 3 + 1.15 = 10.15 miles
Step-by-step explanation:
Write an algebraic expression to represent the situation. 3 times the sum of m and 7. *
Answer:
3(m+7)
Step-by-step explanation:
solution,
3 times
the sum of m amd 7
= 3(m+7)
Answer:
its 3 x (m + 7)
Step-by-step explanation:
sue me if im wrong
There are 42 female performers in a dance recital. The ratio of men to women is 2:3. How many men are in the dance recital
Answer:
28
Step-by-step explanation: This should be 28. 42 divided by 3 is 14. Why would you divide it by 3? Because the full ratio is 2:3. So 42 divided by 3 is 14. Then you add fourteen twice, for the two in the ratio. Fourteen plus fourteen is 28.
Pleaseee help I need a good grade for Christmas
Answer:
4 Tacos
Step-by-step explanation:
It cost less for four tacos then five tacos
Answer: 4 tacos for 3.20
Step-by-step explanation: if you divide 3.20 by 4 it equals 0.80 cents for each taco and 4.25 divided by 5 equals 0.85 cents for each taco.
Which does not represent a way to show 5+5+5+5+5 with multiplication?
Answer:
probably square root of 5
Simplify 16 – 1.42 + (–1.5)
Answer:
13.8 is the answer ...............
What is the slope for (2,0) (4,6)
Answer:
[tex]m=3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (2, 0)
Point (4, 6)
Step 2: Find slope m
Substitute: [tex]m=\frac{6-0}{4-2}[/tex]Subtract: [tex]m=\frac{6}{2}[/tex]Divide: [tex]m=3[/tex]a simple interest account earns $75 at a rate of 1.5% over the course of 5 years.what was the principal amount on the account?
Answer:
234
Step-by-step explanation:
1. if $2,500 is invested into an account that pays 4% interest compounded monthly how long will it take for the investment to double?
2. find the average rate of change of f(x)= x^2 +2x+1 evaluated at x=1+a and x=1
Answer:
SORRYYYYYYY!!!!!!!!!!!
What is the value of x in this triangle?
12
2x - 4
Step-by-step explanation:
12 = 2x - 4
16 = 2x
8 = x
.....
Marina simplified the expression 4x + 5(–4x – b) – (x – 2) to be –17x – 8.
What was the value of b?
A. –6
B. –2
C. 2
D. 10
Answer: C. 2
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Begin by removing the brackets
4x + 5(-4x - b) = -16x - 5b
-(x - 2) = -x + 2
Add the two binomials together to get the third one
4x -20x - 5b - x + 2 = -17x - 8 Combine the like terms on both sides
-17x - 5b +2 = -17x - 8 Add 17x to both sides
-5b + 2 = - 8 Subtract 2 from both sides
-5b +2 -2 =- 8 -2 Combine
-5b = - 10 Divide by -5
b = -10/-5
b = 2
..............,,,,,,,,,
Answer:
6 is your answer
Step-by-step explanation:
[tex] \: \: \: \: \: \: \: 60 \div 5(7 - 5) \\ \: \: \: \: \: \: = 60 \div 5(2) \\ \: \: \: = 60 \div 10 \\ = 6 \: ans[/tex]
Please help quick! It is due in 20 min! Please help!
Answer:
Step-by-step explanation:
1. (a + b) (a - b)
2. 2
3. 4.5 or 4[tex]\frac{1}{2}[/tex] or [tex]\frac{9}{2}[/tex] or if u wanna round up then 5
hope this helps :)
Lucy rides her bicycles 240 feet. A wheel of her bicycle turns 40 times as the bicycle travels this distance. What is the diameter of the wheel?