Answer:
Multiply the second equation by −2 to get −4x − 12y = −48.
Step-by-step explanation:
Given:
4x + y = 4 (1)
2x + 6y = 24 (2)
Multiply the second equation by −2 to get −4x − 12y = −48.
4x + y = 4 (1)
−4x − 12y = −48 (3)
Variable x can be eliminated by adding the equations
4x + (-4x) + y + (-12y) = 4 + (-48)
4x - 4x + y - 12y = 4 - 48
0 - 11y = -44
-11y = -44
Divide both sides by -11
y = -44/-11
= 4
y = 4
Answer: Multiply the second equation by −2 to get −4x − 12y = −48.
Step-by-step explanation:
what is the answer to -3(9-x)+6x
Answer: 9−27
Step-by-step explanation:
Write the difference and simplest form (5n-3)-(-2n+7) 100 points
Answer:
7n - 10
5n - 3 + 2n - 7
(distribute the negative sign throughout the equation) (then just combine like terms)
Help please 43 points
Answer:
Get the data from the table:
40, 45, 50, 55, 75, 80, 85Median is the middle number:
55Mean is the average:
(40+ 45+ 50+ 55+ 75+ 80+ 85)/7 = 61.42Rachel and Sarah spent:
80 + 85 = 165You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a
$8 per pound
b
$5 per pound
c
$35 per pound
d
$0.125 per pound
Answer:
$8 per pound
Step-by-step explanation:
40 ÷ 5 = 8
$40 per 5 pound= 8
$8 per 1 pound = 8
Fill in the missing values in the table. Then determine the constant of proportionality.
blank 1) 2 1/3 yards
feet
blank 2)
yards: 3 feet
blank 3) 2 yards :
feet
blank 4)
yards: 4.5 feet
The constant of proportionality is
Answer:
Blank 1) 2 1/3 yards : 7 Feet
Blank 2) 1 yards : 3 Feet
Blank 3) 2 yards : 6 Feet
Blank 4) 1.5 yards : 4.5 Feet
Therefore, the constant of proportionality is: k = 3
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
Here, k is the constant of proportionality.
From the table, taking the first two points to determine the constant of proportionality.
Yards Feet
1/2 1.5
1/3 1
Using the equation
substituting y = 1.5 and x = 1/2
y = kx
k = y/x
k = (1.5) / (1/2)
k = 1.5 / 0.5
k = 3
also substituting y = 1 and x = 1/3
k = y/x
k = 1 / (1/3)
k = 3
As the constant of proportionality is the same.
Therefore, the constant of proportionality = k = 3Determining Blank 1
Yards = x = 2 1/3 = 7/3
y = blank 1 = Feet ?
k = 3
Using the equation
y = kx
blank 1 = Feet = y = 3 (7/3)
blank 1 = Feet = y = 7
Therefore, Blank 1 = y = Feet = 7In other words,
When Yards = 2 1/3, then Feet = 7
Determining Blank 2
Feet = y = 3
Blank 2 = x = yards ?
k = 3
Using the equation
y = kx
Blank 2 = x = yards = y/k
Blank 2 = x = yards = 3/3
Blank 2 = x = yards = 1
Therefore, Blank 2 = yards = x = 1In other words,
When Yards = 1, then Feet = 3
Determining Blank 3
yards = x = 2
Blank 3 = y = Feet ?
k = 3
Using the equation
y = kx
y = Blank 3 = Feet = 3(2)
y = Blank 3 = Feet = 6
Therefore, Blank 3 = Feet = y = 6In other words,
When Yards = 2, then Feet = 6
Determining Blank 4
Feet = y = 4.5
Blank 4 = x = Yards ?
k = 3
Using the equation
y = kx
x = Blank 4 = y/k
x = Blank 4 = 4.5/3
x = Blank 4 = 1.5
Therefore, Blank 4 = x = Yards= 1.5In other words,
When Yards = 1.5, then Feet = 4.5
Summary:
Blank 1) 2 1/3 yards : 7 Feet
Blank 2) 1 yards : 3 Feet
Blank 3) 2 yards : 6 Feet
Blank 4) 1.5 yards : 4.5 Feet
Therefore, the constant of proportionality is: k = 3
Can anyone help I’m struggling with this
Answer:
Maybe if you could be a bit clear with what you need help with? are you struggling with plotting the points? are stuck on the equation that was given? and do you understand slope intercept form?
I can help you with the equation since that's not the full equation:
-2y = -x + 10
so you divide the -2 and then also divide it on the other side
-2y = -x + 10
-2 -2
cross out the -2's on the left side but do not cross out the y since you will need that. Then divide the numbers so:
-1 % -2 is 0.5 but we don't use decimals in our equation so just put
-1/-2x
then do 10 % -2 and you should get -5
so put the equation together:
y = -1/-2x - 5
(Is that all or do you need help with anything else?)
GARDENING Jane needs to buy mulch
for the garden with the dimensions
shown in the figure. For how much area
does Jane need to buy mulch? Round to
the nearest tenth.
15.5 yd
Answer:
I suggest you use Socratic, it solves questions like this.
Step-by-step explanation:
3. Circle the smallest number.
-2.5 and 1.5
Plss answers
Answer:
-2.5
Step-by-step explanation:
-2.5 < 1.5
Answer:
1.5
Step-by-step explanation:
because it is basic decimals 1.5 would be 15 while 2.5 will be 25
Task: Nonpermissible Values for Rational Expressions [30 points] Write a rational expression that has the nonpermissible values x=0 and x=17. Explain your reasoning using complete sentences.
Answer:
A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].
Step-by-step explanation:
A rational expression has a nonpermissible value when for a given value of [tex]x[/tex], the denominator is equal to zero. In addition, we assume that both numerator and denominator are represented by polynomials, such that:
[tex]f(x) = \frac{p(x)}{q(x)}[/tex] (1)
Then, the factorized form of [tex]q(x)[/tex] must be:
[tex]q(x) = x\cdot (x-17)[/tex] (2)
If we know that [tex]p(x) = 4[/tex], then the rational expression is:
[tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex] (3)
A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].
Choose all the expressions that are equal to 0.8 × 0.03.
A. 8100×3100
B. 3100×810
C. 80100×3100
D. 310×8010
E. 810×3100
Answer: 8/10 × 3/100
3/100 × 8/10
Step-by-step explanation:
To be able to solve this question, we need to convert the decimals to Fractions. After they've bee converted to Fractions, we can then look at the options given and see the correct option.
0.8 will be 8/10 when converted to a fraction while 0.03 will be 3/100. Therefore, the correct option will be:
= 8/10 × 3/100 or 3/100 × 8/10.
Therefore, options B and E are correct.
Answer:
Step-by-step explanation:
ace
I took an Uber that had a bill of $15.20. I left a 15% tip. How much was the Uber including the tip?
Answer:
$17.48
Step-by-step explanation:
^^^^^^^^^^^^^
13
Find the area and circumference.
(a)
18 in
AREA
Round to the nearest hundredths.
A) 4071.50 in?
B 1017.88 in2
C 113.09 in
D 226.19 in
Answer:
The area of the circle is":
A = 1017.36 in²
The circumference of the circle is:
C = 113.09 in
Step-by-step explanation:
Given
r = 18 in
We need to determine the area and circumference of the circle
Using the formula to determine the area
A = πr²
= 3.14 × (18)²
= 3.14 × 324
= 1017.36 in² (Rounded to the nearest 0.01 or the Hundredths Place)
Thus, the area of the circle is":
A = 1017.36 in²
Using the formula to determine the circumference.
C=2πr
= 2 × 3.14 × 18
= 113.09 in
Thus, the circumference of the circle is:
C = 113.09 in
Before a renovation a movie theater had 117 seats after the renovation theater had 173 what is the approximate percentage increase of the number of seats in the theater if necessary round to the nearest 10th in percentage
Answer:
47.86%
Step-by-step explanation:
Total number of seats in a movie theater Before a renovation = 117
Total number of seats in a movie theater after a renovation = 173
We need to find the percentage increase of the number of seats. It can be calcualted as :
[tex]\%=\dfrac{\text{|final number-initial number|}}{\text{initial number}}\times 100\\\\=\dfrac{173-117}{117}\times 100\\\\=47.86\%[/tex]
So, the increase in percentage is 47.86%.
A man that is 6 feet tall and casts a 4 foot shadow is standing next to a flagpole. The
flagpole casts a shadow of 10 feet. How tall is the flagpole?
a15ft
b60ft
c24ft
d40ft
Answer:
IM JUNNA HAFT TO SAY IS 60
Step-by-step explanation:
Hurry please!
How do you put 14 1/2 into a calculator without the '/' ?
Answer:
well you do 1 divided by 2 which is 0.5
Step-by-step explanation:
solve the inequality
h-(-2)≥10
Let's solve your inequality step-by-step.
h−(−2)≥10
Step 1: Simplify both sides of the inequality.
h+2≥10
Step 2: Subtract 2 from both sides.
h+2−2≥10−2
h≥8
Answer:
h≥8
(Pls mark brainliest)
The solution to the inequality h -(-2) ≥ 10 is h ≥ 8
The given inequality is:
h -(-2) ≥ 10
Simplify the left hand side
h + 2 ≥ 10
Subtract 2 from both sides of the inequality
h + 2 - 2 ≥ 10 - 2
h ≥ 8
The solution to the inequality h -(-2) ≥ 10 is h ≥ 8
Learn more here: https://brainly.com/question/17448505
Convert 11/3 into a mixed number.
3 2/3
4 1/3
3 1/6
Answer:
3 2/3
Step-by-step explanation:
49/8 as a mixed number
ummm [tex]6\frac{1}{8}[/tex] aha-
which dot thing do i put?
Answer:
arrow to the right no filled in dot
Step-by-step explanation:
the (>) shows you which direction the thing is going
in this situation you just have to simplify the problem
4x+2=10
-2. -2
4x=8
x=2
x>2
Answer:
You would put it on 10 and use the arrow pointing the right with a open dot. (The dot should not be filled in and looks like a bubble.)
Step-by-step explanation:
Is point 25,20 on the line
Answer:
What Line? it doesnt touch the x or y axis.
Step-by-step explanation:
An artist uses a 3-foot piece of wood to carve statues she uses 1/6 foot pieces of wood for each statue how many statues can be made from all the wood
Answer:
18
Step-by-step explanation:
Dimension of piece of wood = 3 ft
Dimension of piece of wood used for one statue = [tex]\frac{1}{6}[/tex] ft
To find:
Number of statues that can be made from all the wood ?
Solution:
To find the total number of statues that can be carved from the given piece of wood, we need to divide the dimensions of given piece of wood with the piece required to carve one statue.
Formula:
[tex]\dfrac{a}{\frac{b}{c}} = \dfrac{a\times c}{b}[/tex]
Number of statues that can be made:
[tex]\dfrac{3}{\frac{1}{6}}\\\Rightarrow \dfrac{3\times 6}{1}\\\Rightarrow \bold{18}[/tex]
Therefore, 18 number of statues can be made.
999998376474 x 9999991737
Answer:
9.99997550221
Step-by-step explanation:
which describes the correlation shown in the scatter plot ?
A.there is a positive correlation in the data set
B.there is a negative correlation in the data set
C.there is no correlation in the data set
D.more points are needed to determine the correlation
Answer:
It is B because it is negative correlation.
Step-by-step explanation:
Everyone keeps saying it's A, but how would it be A if the trend is going down? Make it make sense.
It is B.
4) Kai has 20 songs on his playlist, and is
adding 2 songs per minute. Write an equation
that represents this situation, where y is the
number of songs on Kai's playlist after x
minutes.
Answer: 20+2x=y
Step-by-step explanation:
Please help meee hbenekneje
PLEASEE HELPP ME DO THISS
Click on the photo to view full solution
Mai skated x miles, and Clare skated 35 3 5 farther than that. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y). BoldItalicUnderline
Answer:
[tex]y = \frac{3}{5} + x[/tex]
Step-by-step explanation:
Given
Represent Mai's distance as x and Clare's distance as y
[tex]Mai = x\ miles[/tex]
[tex]C = \frac{3}{5}[/tex] farther than Mai
Required
Determine the relationship between both
[tex]C = \frac{3}{5}[/tex] farther than Mai
Substitute x for Mai
[tex]C = \frac{3}{5}[/tex] farther than x
Express as a mathematical expression:
[tex]C = \frac{3}{5} + x[/tex]
Recall that Clare's distance is represented by y.
So, we have:
[tex]y = \frac{3}{5} + x[/tex]
Hence, the relationship is: [tex]y = \frac{3}{5} + x[/tex]
Answer: Mai skated x miles, and Clare skated 3/5 farther than that. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y).
Step-by-step explanation:
Simplify 3(2y -1) + 2y
Answer: 8y -3
Step-by-step explanation:
3(2y -1) + 2y
6y -3 + 2y
8y -3
Answer:
8 y - 3
Step-by-step explanation - I got it from google so its right 100%
The student council is selling Fall festival t-shirts. Long sleeve shirt sell for $12 and short sleeve shirts are $2 less. They sell 606 shirts for a total of $6,778. How many long sleeve shirts were sold?
Answer:
359 long sleeve shirts were soldStep-by-step explanation:
Step one:
given data
let long sleeve shirts be x
and short sleeve shirts be y
Long sleeve shirt sell for $12
short sleeve shirts are $2 less= 12-2= $10
They sell 606 shirts
x+y=606--------1
total cost of the shirts =$6,778.
12x+10y=6778-------------2
therefore the systems of equation for the situation si
x+y=606--------1
12x+10y=6778-------------2
from eqn 1, x=606-y
put x=606-y in eqn 2. we have
12(606-y)+10y=6778
7272-12y+10y=6778
solve for y
-2y=6778-7272
-2y=-494
2y=494
divide both sides by 2
y=4944/2
y=247
put y= 247 in eqn 1
x+247=606
x=606-247
x=359
Hence, 359 long sleeve shirts were sold?
Solve the system of equations 2x + 2y = 6 and 2y - x = 12 using any method.
Answer:
Step-by-step explanation:
2x + 2y = 6
-2x + 4y = 24
6y = 30
y = 5
10 - x = 12
-x = 2
x = -2
(-2, 5)