Answer:
f(3) = 11
Step-by-step explanation:
To evaluate f(3), substitute x = 3 into f(x), that is
f(3) = 2(3) + 5 = 6 + 5 = 11
Santa has many toys to deliver on Elm Street. If there are 48 kids that live on Elm
Street and 12 of them are boys what is the ratio of girls to boys?
Answer: 3 : 1
Step-by-step explanation:
We know that there are 48 kids in Elm street.
12 of them are boys, then the number of girls will be:
48 - 12 = 36
So there are 12 boys and 36 girls.
Then the ratio of girls to boys is 36:12
We can divide both numbers by the same number and we will get an equivalent ratio, if we divide by 12 in both sides, we have:
36/12 : 12/12
3 : 1
Then the ratio is 3 to 1.
Carson is a high school student with two part-time jobs. He earns $6 per hour for babysitting, and he earns $8 per hour doing clerical work for his father's business. His goal is to earn at least $96 a week, but because of school, he does not want to work more than 15 hours each week. Suppose Carson worked as a babysitter for 5 hours one week. What is the minimum number of full hours he would need to work at his father's business to earn at lease $96 that week?
Step-by-step explanation:
Step one:
let the hours for babysitting be x
and the hours for doing clerical be y
we are told that Carson would like to earn $96 weekly
She babysits for $6 per hour
and earned $8 per hour doing clerical work
6x+8y=96---------------1
Carson cannot work more than a total of 15 hours per week
5x+y≤15-------------2
The system of equation for the situation is
6x+8y=96
5 x+y≤15
y=15-5 x
put y=15-5 x in eqn 1
6x+8(15-5 x)=96
6x+120-40x=96
collect like terms
6x-40x=96-120
-34x=-24
x=24/34
x=0.7
Approximately 1 hour babysitting
put x= 0.7 in 5x+y≤15
5(0.7)+y≤15
3.52+y≤15
y≤15-3.52
y=11.4
Approximately 11 hours doing clerical work
Step-by-step explanation:
Step one:
let the hours for babysitting be x
and the hours for doing clerical be y
we are told that Carson would like to earn $96 weekly
She babysits for $6 per hour
and earned $8 per hour doing clerical work
6x+8y=96---------------1
Carson cannot work more than a total of 15 hours per week
5x+y≤15-------------2
The system of equation for the situation is
6x+8y=96
5 x+y≤15
y=15-5 x
put y=15-5 x in eqn 1
6x+8(15-5 x)=96
6x+120-40x=96
collect like terms
6x-40x=96-120
-34x=-24
x=24/34
x=0.7
Approximately 1 hour babysitting
put x= 0.7 in 5x+y≤15
5(0.7)+y≤15
3.52+y≤15
y≤15-3.52
y=11.4
Approximately 11 hours doing clerical work
Jenny is an architect and is working to find the side length of a room in a house plan she is
reviewing. She knows that she can find the side length from the area using the formula 8 =
A. She could also find the side length using the perimeter with the formula 9 = she wants to see
what the design would look like with an equal perimeter and area. She graphs the formulas and
hnds the intersection point. What does this intersection point tell her?
O Cannot be determined
The measure of the side length
The side length that creates an equal perimeter and area,
The total perimeter and area of the room
Answer: At first I though O but you would be able to use A because you are able to make that 9 = to that 8
Step-by-step explanation:
The intersection point tells her the side length that creates an equal perimeter and area.
What is perimeter?
A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.
Jenny is an architect and is working to find the side length of a room in a house plan she is reviewing.
She knows that she can find the side length from the area using the formula 8 = A.
She graphs the formulas and finds the intersection point.
The intersection point of the two equations represents the solution where the side length satisfies both the equations, giving an equal perimeter and area. Therefore, the intersection point tells her the side length that creates an equal perimeter and area.
To learn more about the perimeter of a shape:
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Find the percent of change:
From 64 feet to 48 feet
Answer:16
Step-by-step explanation:
Using this tool you can find the percent Decrease for any value. So, we think you reached us looking for answers to questions like:
1) What is the percentage Decrease from 64 to 48? 2) What is the absolute Decrease from 64 to 48. Or may be: What is the percent change from 64 to 48?
See the solution to these problems just after below.
How to calculate percent change - Step by Step
Percent increase or decrease measures percent changes between two values. Use this calculator when comparing an old value to a new value.
The Percent Calculator (Change) uses this formula:
% change = New Value - Old Value|Old Value|× 100%
Where |Old Value| represents the absolute value of the reference (this is made in order to work well with both positive and negative values of Old Value and New Value. Note that percent change and relative change mean the same thing. It can be a percent increase or a percent decrease depending on the new and the old values. If the new value is greater than the old value, the result will be positive and we will have a increase. On the other hand, if the new value is smaller than old value, the result will be negative and we will have a we have a decrease. The old value, as a reference, may be: a theoretical, the actual, the correct, an accepted, an optimal, the starting, and so on. See more about percent percent change here.
Here are the solutions to the questions stated above:
1) What is the percentage decrease from 64 to 48?
Use the above formula to find the percent change. So, replacing the given values, we have
Percent change = 48 - 6464 x 100 = -25 % (decrease)
Where: 64 is the old value and 48 is the new value. In this case we have a % of decrease because the new value is smaller than the old value.
2) What is the absolute Decrease from 64 to 48?
This problem is not about percent or relative change, but about absolute change. Its solution is very simple:
Absolute change, or
change = new value - old value
= 48 - 64 = -16 (decrease)
Answer: -25%
Step-by-step explanation:A change from 64 to 48 represents a negative change (decrease) of -25%
Use the formula found below on this webpage to find the percent change by replacing the given values:
Percent change = New - Old
|Old|
x 100%
Percent change = 48 - 64
|64|
x 100 = -16
64
x 100 = -25 % (decrease)
Where: 64 is the old value and 48 is the new value. In this case we have a negative change (decrease) of -25 percent because the new value is smaller than the old value.
Geometry...Please help as soon as possible please and Thank you!!!
Answer:
Step-by-step explanation:
Statment1. BD bisects ∠ABC
Reason1. Given
Statment 2. ∠ABD≅∠DBC (A)
Reason2. Definition of angle bisector
Statment 3. BD≅BD (S)
Reason3. Reflexive propriety
Statement 4. ∠BDA≅∠BDC (A)
Reason 4. Given
Statement 5 ΔABD≅ΔCDB
Reason 5. ASA theorem of congruency
solve for x
1. 6
2. 4
3. -5
4.-10
what is 9 divided by 3 plus for times 6 plus 8
Answer: 50
Step-by-step explanation: 9 divided by 3 plus 4 times 6 plus 8 equals 50
Answer:
35
Step-by-step explanation:
9 ÷ 3 + 4 · 6 + 8
Do 9 ÷ 3 first
3
Plug this value back into the equation
3 + 4 · 6 + 8
Do 4 · 6 next
24
Plug this value back into the equation
3 + 24 + 8
Add 3 to 24
27
Plug this value back into the equation
27 + 8
Add
35
Hope this helps :)
Please consider Brainliest :)
Which system of equations has no solutions?
Answer:
The answer is simple it would be the 3rd one(2nd row to the left)
Kym switched cell phone plans. She signed up for a new plan that will save her $3.50 per month compared to her old cell phone plan. The cost of the new phone plan for an entire year is $294. How much did Kym pay per month under her old phone plan?
also merry early Christmas
Answer:
Hi there,
$294 per year = $24.50 per month
Kim paid $24.50 + $3.50 = $28 per
month with her old phone plan.
Hope this helps :-)
Step-by-step explanation:
State if the two triangles are congruent. If they are, state how you know.
A) Yes, by SSS
B) No, may not be determined
C) Yes, by SAS
D) Yes, by ASA
E) Yes, by AAS
Answer:
CCCC YES BY SASA
Step-by-step explanation:
f(x) = -4x^2+ 10
Find f(-2)
Answer:
-6
Step-by-step explanation:
plug -2 into x
2X+20 and X+60 I have to solve for X
Answer:
x = 40
Step-by-step explanation:
I don't understand, but I think you mean 2x + 20 = x + 60
So that's what I'm going to solve for if that's wrong tell me what you mean.
2x + 20 = x + 60 (subtract 20 on both sides)
2x = x + 40 (subtract x on both sides)
x = 40
HOPE THIS HELPS!
IF YOU HAVE A QUESTION ABOUT THIS COMMENT.
Answer:
x = 26.6
Step-by-step explanation:
1. 2x+20+x+60
2. Combine like factors (x' s, and 20+60)
3. 3x+80
4. divide 80 from 3 (80/3)
5. 26.6
what is the distance between the points (-2, 1) and (3, 1)
Answer:
Step-by-step explanation:
2.23606797
Which quadrilateral has diagonals that are both congruent and perpendicular?
Answer:
Rhombu is the answer
Answeris rhombus
Will give brainlest and 25 points. By what percnet should Jack increase the number X to get the number 9/4 · X? Plllllsss help me.
9514 1404 393
Answer:
125%
Step-by-step explanation:
(9/4)X = (1 +5/4)X = (1 +1.25)X = X + 125%·X
Jack needs to increase X by 125% to get 9/4X.
_____
Example:
X = 100, 9/4X = 225
125%X = 125, so X + 125%X = 100 +125 = 225 . . . as required.
Help pls lol
-4a + 16
Answer:
-4(a - 4)
Step-by-step explanation:
Two very good apps that I use for Algebra is (ill put it in the comments)
hope this helps!!!
it won't let me put the link. im sorry.
Answer:
12
Step-by-step explanation:
12
MARKIGN PEOPLE AS BRIANLIST NEED HELP THANK YOU
Answer:
B. I think, im not in this level yet
Step-by-step explanation:
A)y=-2x+3, y=2
B)y=-2x-3, x=2
C)y=2x-3, y=2
D)y=2x+3,x=2
M<2=12x+5 and m<7 4x+19 find m<2
i cant seem to get this i feel so dumb
Answer:
You are not dumb, I might be though.
Step-by-step explanation:
Find the value of n that makes DEF-XYZ when
DE = 4, EF = 5, XY = 4(n + 1). YZ = 7n - 1, and
Answer: n=3
Step-by-step explanation:
Understand that you need to set up a proportion before you can try to solve the question through guessing. In this case, YZ would be proportional to XY as EF is proportional to DE. You would write this as: EF/DE=YZ/XY.
Now you want to write an equation. In order to do this remember to multiply by your proportion. Here’s my equation:
5/4(4n+4)=7n-1. Now distribute:
5n+5=7n-1. Now simplify:
6=2n. Now simplify again:
n=3
Hope this helps you with your big ideas math hw!
The value of is n=3
Important information:DEF-XYZ whenDE = 4, EF = 5, XY = 4(n + 1). YZ = 7n - 1.The calculation is as follows:5/4(4n+4)=7n-1.
Now distribute:
5n+5=7n-1.
Now simplify:
6=2n.
n=3
Find out more information about the Number here : https://brainly.com/question/17429689?referrer=searchResults
A snow-cone machine priced at $139 is on sale for 20% off. What is the price of the snow-cone machine after the discount?
Answer:
The answer would be 127. 03
Step-by-step explanation:
Complete the explicit formula for the sequence.
42, 47, 52, 57, 62, ...
Answer:
Step-by-step explanation:
67,72..
how do i solve this?
Step-by-step explanation:
You need to solve for x.
You can do that by either setting both of the equations equal to each other. or Solve each one separately and subtract the EG equation from the EW to get GW
help please!!!!!!!!!!!!!!!!!!!
Tammy must run more than 82 miles total to reach her fitness goals. She has already run 34 miles and runs 6 miles per day. Which of the following inequalities could be used to solve for x, the number of days Tammy needs to run to reach her fitness goals?
A.
6x > 34
B.
6x > 82
C.
6x - 34 > 82
D.
6x + 34 > 82
D. 6x + 34 > 82 is the answer
Joseph's lunch was 13 dollars without tax, he leaves the water a tip of 17% of the cost, without tax. What is the total cost of the lunch, including the tip, without tax
Answer:
17% of 13 is 2.21
13 + 2.21 = 15.21
Step-by-step explanation:
Part B: A triangle has vertices A (-2, 3), B (0, 0), and C (1, 2). What are the coordinates of the vertices if the original triangle is dilated by a scale factor of 3 and then reflected over the x-axis?
Answer:
(-6,-9) , (0,0) and (3,-6)
Step-by-step explanation:
Here, we want to find new coordinates after dilating by 3 and reflecting over x-axis
By dilating by a factor of 3, we multiply each term by 3
We have the following;
A’(-6,9) B’(0,0) and C’ (3,6)
Now if we want to reflect the point (x,y) over x-axis, what we shall have is (x,-y)
So the vertices will be as follows;
(-6,-9) , (0,0) and (3,-6)
You and your friend walk to school together every day. You meet at the halfway point between your houses first and then walk to school. Each unit in the coordinate plane corresponds to 50 yards. A) What are the coordinates of the midpoint of the line segment joining the two houses? B) What is the distance that the two of you walk together?
Please show the steps
Answer:
no se
Step-by-step explanation:
The coordinate of the midpoint joining the two houses, since each unit on the coordinate is 50 units is (150, 250) and the distance walked to school is 254.95 yards
From the graph given :
The x - coordinate of the midpoint is 3 units from the origin = (3 × 50) = 150 yards
The y-coordinate of the midpoint is 5 units from the origin = (5 × 50) = 250 yards
Hence, the coordinate of the midpoint is (150, 250)
The distance walked to school :
Distance = √(y2 - y1)² + (x2 - x1)²
Distance = √(400 - 150)² + (300 - 250)²
Distance = √250² + 50²
Distance = 254.95 yards
Therefore, the distance the boys walk to school is 254.95 yards.
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I NEED LOTS OF HELP IF U ANSWER THIS CORRECTLY I WILL GIVE YOU BRAINLYIST PLEASE PLEASE PLEASE ANSWER THIS
The circumference of a circle is 7 m.
What is the area of the circle?
1. 3.5pi m^2
2. 12.25pi m^2
3. 14pi m^2
4. 49pi m^2
Answer:
2. 12.25pi
Step-by-step explanation:
circumference = diameter × pi
diameter = 7
area of circle = pi radius^2
radius = 3.5
3.5^2 = 12.25
answer = 12.25 pi
