Answers
Answer:
[tex]\boxed {r = \frac{31}{3}}[/tex]
Step-by-step explanation:
To find the value of [tex]r[/tex], write an expression by using the following measurements of both [tex]\overline {DG}[/tex] and [tex]\overline {GM}[/tex], then you solve for [tex]r[/tex]:
[tex]\overline {DG} = r + 3[/tex]
[tex]\overline {GM} = 4r - 28[/tex]
[tex]r + 3 = 4r - 28[/tex]
Solve for [tex]r[/tex]:
[tex]r + 3 = 4r - 28[/tex]
[tex]x + 3 - 4r = 4r - 4r - 28[/tex]
[tex]-3r + 3 = -28[/tex]
[tex]-3r + 3 - 3 = -28 - 3[/tex]
[tex]-3r = -31[/tex]
[tex]\frac{-3r}{-3} = \frac{-31}{-3}[/tex]
[tex]\boxed {r = \frac{31}{3}}[/tex]
So, the value of [tex]r[/tex] is [tex]\frac{31}{3}[/tex].
Related Questions
Y = -(X +5) + X +4 if X = -4. Y = ?
Answers
Answer:
y=-1
Step-by-step explanation:
(4k – 2) (k + 4)
O 44² + 14k - 8
O 4K² - 8
O 5k + 2
0 42² + 16k - 8
Answers
Answer:
4k^2 + 14k - 8
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)
Expand and simplify: 2(x-4^2)+7
Answers
2x-25
Explanation:
2(x-4^2)+7
1) Find the exponent
=2(x-16)+7
2) Use the distributive property on the parentheses
=2x-32+7
3) Subtract 32 and 7
=2x-(32-7)
=2x-25
I hope this helps! Please comment if you have any questions.
WILL MARK BRAINLIST
Alina is 6 years older than Greg. Amy’s age is 2.5 times Alina's age. Amy is 40. How old is Greg?
A. 16
B.10
C. 15
D.10
Answers
Answer:
Hi friend! The answer is D. 10
I hope this helps!
Answer:
B) 10
Step-by-step explanation:
Assign variables to each person:
A=Alina's Age
M=Amy's Age
G=Greg's Age
Set up a system of equations given the information:
A=6+G
M=2.5A
M=40
Notice that M is already given, so we can plug that into the second equation:
40=2.5A
16=A
So Alina is 16 years old, but the problem asks for Greg's age, so we plug Alina's age in the first equation:
16=6+G
10=G
So Greg is 10 years old, therefore B is the correct answer.
llene is making bows for gift wrapping. She uses 1 feet of ribbon for each 3 bow. How much ribbon will she need to make 12 bows?
Answers
Answer:
4 feet
Step-by-step explanation:
Because if she used 1 feet of ribbon for 3 bows you need to multiply by 4 to 1 foot and you will get 12 bows
Answer:
4 feet of ribbon
Step-by-step explanation:
Because she uses 1 feet of ribbon for each 3 bows, we can create a fraction.
1 ft / 3 bows = x ft / 12 bows
Cross multiplying, we get: 3x = 12
Divide by 3 and we get x = 4 (x in this case is in feet)
Interpret the meaning of y-intercept in this context
Answers
Answer:
Its 8
Step-by-step explanation:
This is the highest peak
Christa has a rectangular rug in her living room that is 6 feet wide and 8 feet long. She decides that the rug is too small for the room, so she orders a new one that covers twice as much area. If the new rug is 1.5 times as wide as the original rug, how long, in feet, is the new rug?
Answers
Given:
A rectangular rug in her living room that is 6 feet wide and 8 feet long.
She orders a new one that covers twice as much area.
New rug is 1.5 times as wide as the original rug.
To find:
The length of new rug.
Solution:
We have,
Length of rug = 8 feet
Width of rug = 6 feet
Area of rug is
[tex]Area=length \times width[/tex]
[tex]A_1=8 \times 6[/tex]
[tex]A_1=48\text{ sq. feet}[/tex]
Area of new rug is twice of area of original rug.
[tex]A_2=2\times A_1[/tex]
[tex]A_2=2\times 48[/tex]
[tex]A_2=96\text{ sq. feet}[/tex]
New rug is 1.5 times as wide as the original rug.
Width of new rug = 1.5 × 6 = 9 feet
Let the length of new rug be x feets. So, area of new rug is
[tex]A_2=x\times 9[/tex]
[tex]96=x\times 9[/tex]
Divide both sides by 9.
[tex]\dfrac{96}{9}=x[/tex]
[tex]\dfrac{32}{3}=x[/tex]
[tex]x=\approx 10.67\text{ feet}[/tex]
Therefore, the length of new rug is about 10.67 feet.
3
[tex]3y^{2} + 8y + 2 = 0[/tex]
Answers
[tex]a {y}^{2} + by + c = 0 [/tex]
[tex]3 {y}^{2} + 8y + 2 = 0 [/tex]
[tex]a = 3[/tex]
[tex]b = 8[/tex]
[tex]c = 2[/tex]
_________________________________
[tex]∆ = {b}^{2} - 4ac [/tex]
[tex]∆ = ({8})^{2} - 4 \times (3) \times (2) [/tex]
[tex]∆ = 64 - 24[/tex]
[tex]∆ = 40[/tex]
_________________________________
[tex]y = \frac{ -b ± \sqrt{∆} }{2a} \\ [/tex]
##############################
[tex]y(1) = \frac{ - 8 + \sqrt{40} }{6} \\ [/tex]
[tex]y(1) = \frac{ - 8 + \sqrt{4 \times 10} }{6} \\ [/tex]
[tex]y(1) = \frac{ - 8 + 2 \sqrt{10} }{6} \\ [/tex]
[tex]y(1) = \frac{2( - 4 + \sqrt{10}) }{2 \times 3} \\ [/tex]
[tex]y(1) = \frac{ - 4 + \sqrt{10} }{3} \\ [/tex]
+++++++++++++++++++++++++++++++++++++++
[tex]y(2) = \frac{ - 8 - \sqrt{40} }{6} \\ [/tex]
[tex]y(2) = \frac{ - 8 - \sqrt{4 \times 10} }{6} \\ [/tex]
[tex]y(2) = \frac{ - 8 - 2 \sqrt{10} }{6} \\ [/tex]
[tex]y(2) = \frac{2( - 4 - \sqrt{10}) }{2 \times 3} \\ [/tex]
[tex]y(2) = \frac{ - 4 - \sqrt{10} }{3} \\ [/tex]
##############################
_________________________________
And we're done.....♥️♥️♥️♥️♥️
SENDDD HELPPP PLZZZ ASAP
Answers
Answer:
the answer is C
Step-by-step explanation:
hope this helps
3x3(2+3)x4 I need this asap
Answers
Answer:
180
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
3x3(2+3) =
3x3(2+3) =3x 3(5) = 3x15 =
45
45x4 = 180
please help me with this question!! thank you if you do:))
Answers
Answer:
C
Step-by-step explanation:
Evaluate (18)^2-(15)^2.
Please show working
Answers
=324-225
99
• Answer:
99
• Step-by-step explanation:
Hi there !
use formula a² - b² = (a-b)(a+b)
18² - 15² =
= (18 - 15)(18 + 15)
= 3×33
= 99
Good luck !
round 21.095 (Nearest whole number)
Answers
What is HCF of 5a and 15a
Please help me I don’t understand
Answers
Answer:
5a.
Step-by-step explanation:
The HCF is short for Highest Common Factor.
Write the 2 expressions in factor form:
5a = 5 * a
15a = 5 * 3 + a
Note that 5 and a are common to both sets of factors, so the HCF = 5a.
Diana is comparing the membership costs at two fitness centers. The community fitness center costs $60 per month. The fitness center located where she works has a $100 registration fee and costs $40 per month. After how many months of membership will the costs be the same?
2
3
4
5
Answers
Answer:
5 months
Step-by-step explanation:
Make the question into an equation where the cost of one gym equal to the cost for the other.
60x = 100 + 40x
x represents how many months
20x = 100
x = 5
It would take 5 months of membership for the costs to be the same.
The answer is 5 months.
How to make a linear equation?The linear equation is made using the constraints given in the question, examining whether the data is added, subtracted, divided, or multiplied.
How to solve a linear equation?To solve the linear equation we group the variable on the LHS and then equate it with the constant and this is done by transposing, or using an arithmetic operator on both sides.
The solution to the given problemLet the number of months taken be 'x'
SO the community fitness takes 60x money for x months
The fitness center where she works takes an amount of 100+40x for x months as registration fees are only charged once.
so equating the equation to find the value of x.
100+40x = 60x
Transposing 40x from LHS to RHS
100=60x-40x
20x = 100
Dividing the equation by 20 on both sides
x = 5
The membership costs will equal in 5 months.
Learn more about Linear equations here
https://brainly.com/question/24794429
#SPJ2
What are the slope and y- intercept of the linear equation
4x-6y=24
Answers
Answer: 7 = 2/3 + (-24/6)
it’s for my little cousin, but I’m dumb and can’t remember lol!
Answers
Answer:
great
Step-by-step explanation:
Answer:
0.75 words :1 second
Step-by-step explanation:
You use the rule of three
45words/60 seconds = ?words/1 second
?= 45x1÷60
?=45÷60
?= 0.75 words/ second
How many deciliters are equivalent to 9 cups? Use the conversion table to find the answer. Round to the nearest tenth.
21.3 dL
42.7 dL
213.3 dL
426.6 d
Answers
Answer:
21.3
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What is the value of r for 16-18
Answers
Answer:
98275
Step-by-step explanation:
5=6
Jon mixes 1/2 cup of milk and 1 cup of flour to make pancake batter .he uses 1/6 of the batter to make each pancake .how many pancakes can he make
Answers
Answer:
Jon can make 9 pancakes.
Step-by-step explanation:
first add the milk and flour volumes and gives you 1 1/2. After that divide that by 1/6 which gives you 9 so Jon can make 9 pancakes.
Which of the following functions is graphed below?
Please help me please and thank you
Answers
Answer: D
Step-by-step explanation:
y = x + 6 is a straight increasing line that intercepts the y axis at 6. x <= 1 indicated the closed circle and the left of that graph.
y = x^2 + 3 is an upward facing parabola where the minimum is 3. The x > 1 indicates the open circle and the right of that graph.
D shows the correct functions graphed
The pizza shop is running a special: 2 medium pizzas
for $6.99 each. How much would it cost to by 12
pizzas?
Answers
Answer:
41.94
Step-by-step explanation:
12 divided by 2 is 6 and six times 6.99 gets you your answer of 41.94
Answer:
$72.00
Step-by-step explanation:
Lets round $6.99 to $7.00. Now we have an easier number to work with.
To find the total price of 12 , we need to multiply $7.00 by 12.
⇒ $7.00 x 12 = $84.00
Since we added 1 cent to $6.99 and multiplied by 12, we need to sutract 1 times 12.
1 x 12 = 12
$84 - $12 = $72.00
Factor the expression.
2x^2 + 3x - 9
Answers
Answer:
(2x-3)(x+3)
Step-by-step explanation:
The factors of the expression are (2x-3) and (x+3).
1. There are
always twice as many girls as boys in school.
Mathematical expression
Answers
Answer:
Boys x 2 = Girls
Step-by-step explanation:
If there are twice as many girls in school as boys than take the number of boys and multiply that by 2. For example if there are 400 boys in school and there are twice as many girs your equation would, 400 x 2 = 800 girls.
solve 4x-3 = 2x+7.
Answers
Answer:
x=5
Step-by-step explanation:
4x-3 = 2x+7.
Subtract 2x from each side
4x-2x-3 = 2x-2x+7.
2x-3 = 7
Add 3 to each side
2x-3+3 = 7+3
2x= 10
Divide by 2
2x/2 = 10/2
x = 5
Answer:
x=5
Step-by-step explanation:
4x -3 = 2x +7
Let's start by getting the 2x away from the seven. Subtract the 2x from itself and from 4x. We will subtract 2 because a negative will cancel out the positive.
2x -3 = +7
Now let's get the -3 away from 2x. Add 3 to the -3 and the +7. We will add because a positive will cancel out the negative.
2x = +10
Then divide +10 by 2 to get the final answer.
Evaluate 7r- 15/8 when r= 3 and 8=5. I'm confused need help:)
Answers
HELPP PLZZ ASAP I DON'T UNDERSTAND AND I SUCK AT MATH HELPP ASAP GIVING POINTS AND BRAINLIEST!!!!
Answer the following questions. When you are finished, submit this test to your teacher for full credit.
1. The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75 at the fair. Jermaine spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.
(a) Define your variables.
(b) Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.
(c) Explain your answer to Part 1b.
Answer:
2. A line goes through the points, and .
(a) What is the slope of the line? Show your work.
(b) Write the equation of the line in point-slope form. Show your work.
(c) Write the equation of the line in slope-intercept form. Show your work.
Answer:
3. Line A is represented by the equation, .
(a) Write in slope-intercept form the equation of a line that is parallel to Line A and passes through the point, . Show your work.
(b) Write in slope-intercept form the equation of a line that is perpendicular to Line A and passes through the point, . Show your work.
Answer:
Answers
Answer:B
Step-by-step explanation:
I HAVE GOT YOU!
A student pushes a the same cart with the same 50N of Force over the same distance of 10m, but on this occasion was timed in 5s by their parents who were in a hurry to get home. What was their power? *
Answers
Answer:
100W
Step-by-step explanation:
Power = Work done / time
Work done = force × distance
given,
force = 50Ndistance = 10mtime = 5sWork = 50 × 10
Work = 500J
Power = 500 / 5
Power = 100W
Which is the set of whole numbers between ten and fifteen?
Answers
Answer:
The whole numbers = positive integers + 0
{11,12,13,14}
help! SOS! due by tonight midnight
Answers
Answer:
A. x=35
B. C= 59 degrees
Step-by-step explanation:
Since both angles have the same measurement you set them equal to each other as so & solve for x
3x+16=5x-54
16=2x-54
70=2x
x=35
Now we plug 35 into one of the equations
3(35) + 16
105+ 16 = 121 degrees
Since angle C is a supplementary angles you do 180-121= 59 degrees
