Answer:
[tex]Y = 7\frac{1}{2}[/tex]
Step-by-step explanation:
Missing Table:
Yellow Paint ----------- Red Paint
5 ---------------------------------6
Required
Determine the quarts of yellow paints when 9 quarts of red are used
Represent Yellow with Y and Red with R.
When Y = 5 and R = 6, we have the following:
[tex]Y : R = 5 : 6[/tex]
Represent as a fraction
[tex]\frac{Y}{R} = \frac{5}{6}[/tex]
When R = 9 and Y is unknown, we have the following:
and
[tex]Y : R = Y : 9[/tex]
Represent as a fraction
[tex]\frac{Y}{R} = \frac{Y}{9}[/tex]
Since the given parameters re[resent a direct variation between both paints, we can equate both fractions to solve for Y
[tex]\frac{5}{6} = \frac{Y}{9}[/tex]
Multiply through by 9
[tex]9 * \frac{5}{6} = \frac{Y}{9} * 9[/tex]
[tex]9 * \frac{5}{6} = Y[/tex]
[tex]3 * \frac{5}{2} = Y[/tex]
[tex]\frac{15}{2} = Y[/tex]
[tex]7\frac{1}{2} = Y[/tex]
[tex]Y = 7\frac{1}{2}[/tex]
Hence, [tex]7\frac{1}{2}[/tex] quarts of the yellow paints is required
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].
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:
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:
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
...................
..............,,,,,,,,,
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]
find the sum of -38 + (-57)
Answer: 19
Step-by-step explanation:
[tex]( - 38) + ( - 57) \\ = - 95[/tex]
Answer:-95
Ramon earns $1,625 each month and pays $53.80 on electricity. To the nearest tenth of a percent, what
percent of Ramon's earnings are spent on electricity each month?
Ramon spends
% of his earnings on electricity each month.
Answer:
3.1%
Step-by-step explanation:
53.80/1625 x 100 is 3.1
Hope this helps plz hit the crown ;D
So what you can do is divide 53.10 by 1735 to get percentage
0.0306051873 is your decimal, so move it right 2 places to get
3.06% of his money.
You asked for the nearest 10th of a percent, so you round that to
3.1%
the first row in a pattern of the 5 tiles.each row after the first had 2more tiles
Answer:
whats the question?
Step-by-step explanation:
How to simplify 1/3a+2/5a
Answer:
The simplified answer is 11a/15
Step-by-step explanation:
Which does not represent a way to show 5+5+5+5+5 with multiplication?
Answer:
probably square root of 5
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
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:
Anybody can help me with this one?
Answer:
look pic
Step-by-step explanation:
the -1/4 is the slope and 5 is where you start
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.
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
HELP! WILL GIVE BRANLIEST!
Answer:
44.71 kilometers
Step-by-step explanation:
Answer:
I would say 44.71 kilometers
Step-by-step explanation:
When you add all those values together you get 44.71.
what is The slope of The line
Answer:
-1/4
Step-by-step explanation:hope this helps
btw can i have brainlliest?
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
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!!
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.
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
Answer this and I will make your day better just watch!!!!
Answer: :) hi! <3
Step-by-step explanation:
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?
. Casey took 25 tests in 135 days. At this rate, in how many days will she take another 10 tests? You may use the ratio table below to help.
Answer rounded by nearest thousand
1.085
Answer rounded by nearest day
2
Step-by-step explanation:
25/135
make into a unit fraction
0.185/1
multiple by ten
1.85/10
Yolanda deposited $2,130 into an account. She made no additional deposits or withdrawals. Yolanda earned 4.25% annual simple interest on the money in the account.
What was the balance in dollars and cents in Yolanda's account at the end of 4 years
Answer:
$2492.10
Step-by-step explanation:
Deposit amount = $2130Interest rate = 4.25% annual simpleTime = 4 yearsBalance at the end of 4 years:
$2130*(1 + 4*0.0425) = $2492.10Determine 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]
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
What is the value of x in this triangle?
12
2x - 4
Step-by-step explanation:
12 = 2x - 4
16 = 2x
8 = x
.....
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!!!!!!!!!!!
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.