Which of the following is a solution to the system of two equations y = 3x – 7 and 4x – 5y = -20?

Answers

Answer 1

Answer:

x = 5, and y = 8

Step-by-step explanation:

You can solve this system by solving either of the equations for either x or y, and substituting that into the other.

Since the first equation is already defined for y, let's substitute that into the second equation:

4x - 5y = -20

4x - 5(3x - 7) = -20

4x - 15x + 35 = -20

4x - 15x = -20 - 35

-11x = -55

x = 5

We can then plug that into either of the original equations to find y:

y = 3x - 7

y = 3 * 5 - 7

y = 15 - 7

y = 8

We can also verify our answer by plugging one of the values into either of the original equations and seeing what we get:

4x - 5y = -20

4x - 5 * 8 = -20

4x - 40 = -20

4x = 20

x = 5

So we know the answer is correct.  x is equal to five, and y is equal to eight.


Related Questions

Share £360 in the ratio 2:7

Answers

Answer:

80:280

Step-by-step explanation:

If the rate of inflation is 3.4% per year, the future price pt (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today.
pt = 2500(1.022t)
Find the current price of the item and the price 10 years from today.

Answers

Answer:

The answer is "3107.75".

Step-by-step explanation:

[tex]\text{Rate of inflation} = \frac{3.4 \%}{year}[/tex]

[tex]\to p(t)= 2500 (1.022)^t[/tex]

when t= 0  

[tex]\to p(0) = 2500(1.022)^0[/tex]

           [tex]= 2500 \times 1\\\\= \$ 2500[/tex]

When t=10

[tex]\to p(10)=2500(1.022)^{10}[/tex]

             [tex]= 2500 \times 1.2431\\\\= 3107.75[/tex]

Harriet buys lunch at school every day. She always gets
pizza when it is available. The cafeteria has pizza about 80% of the time.

Harriet runs a simulation to model this using a random
number generator. She assigns these digits to the possible outcomes for each day of the week:

• Let 0 and 1 = no pizza available

• Let 2, 3, 4, 5, 6, 7, 8, and 9 = pizza available

The table shows the results of the simulation.

Group number
Random digits
1: 19223
2: 73676
3: 45467
4: 52711
5: 95592

Group number
Random digits
6: 68417
7: 82739
8: 60940
9: 36009
10: 38448

What is the estimated probability that Harriet will eat pizza for lunch
every day next week?

A. 7/10 = 70%
B. 4/10 = 40%
C. 5/10 = 50%
D. 0/10 = 0%

Answers

The estimated probability that Harriet will eat pizza for lunch every day next week is 5/10 = 50%

How to determine the probability?

The simulation is represented as:

0 and 1 represents when pizza is not available2 to 9 represents when pizza is available

The above means that the simulation that represents when she eats pizza for lunch must have all its digits to be from 2 to 9.

The results that represent eating pizza for lunch are:

73676 45467 95592 82739 38448

The count of the result is 5.

Hence, the probability is 5/10 = 50%

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What is the value of 11 + 3(9 – 6) – 4?
A) 12
B) 16
C) 18
D) 22

Answers


the answer will be 16 (B)

Answer:

B i just copied the other person

Step-by-step explanation:

Tukey HSD Interpretation
Criterion: Interpret Tukey HSD results from SPSS output.
Data: Use your output from Problem Set 4.6.
Instructions: Identify where significant differences exist at the .05 level between the stress levels.

Answers

Answer:

The solution can be defined as follows:

Step-by-step explanation:

They also have a significant outcome in our instance. Its value of F is 1.773, with such a p-value of 0.212 achieved meaning (which is greater than the .05 alpha level). It means that the press with different levels of stress of the stress variable may not differentiate objectively.

Even so, we still do not know which one of the multiple mechanisms is significant. They realize the diff. To do just that, the results of the Tukey HSD test should be regarded.

HSD Tukey

Looking at the Multiple Correlations table below, you will see that mean values were created for the standard deviation among pairs of various stress varying concentrations (High - Low; High - Medium )

This can be seen on one-way ANOVA(1.773, p=.212), there's no statistically significant difference between the groups. A Tukey post hoc study has observed that the increase among medium and high stress is statistically significant, as well as the difference among low, medium, and high stress is important.

The scale on a map shows that 10 kilometers is represented by 4 centimeters. Which proportion can be used to find the actual distance, x, represented by 20 centimeters on the map? StartFraction 10 over 4 EndFraction = StartFraction x over 20 EndFraction StartFraction 10 over 4 EndFraction = StartFraction 20 over x EndFraction StartFraction 10 over 20 EndFraction = StartFraction 4 over x EndFraction StartFraction 10 over 20 EndFraction = StartFraction x over 4 EndFraction
HELP PLSS QUICK ILL GIVE BRAINLIST

Answers

10/4=x/20
Your answer will be x=50 kilometers

Answer:

the guy above me is correct

Step-by-step explanation:

Witch ratio is less than 15/24

Answers

Answer:

Answer choices: 1/2, 7/8, 19/24, 6/8.

Step-by-step explanation:

expand to write an equivalent expression -1/4(-8x+12y)

Answers

Answer

2x-3y

Step-by-step explanation:

V(x) is a function.
3
ол о
2
10
1
15
0
V(x)
True or false ???

Answers

Answer:

The statement 'V(x) is a function'' is False.

Step-by-step explanation:

Let us make the table from the given mapping

x         y

0        0

5         2

5         1

10        2

15        3

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

If we observe the table, it is clear that x = 5 is repeated twice. It means the input x = 5 is duplicated.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, V(x) is not a function.

Hence, the statement 'V(x) is a function'' is False.

15 points!! Please help

Answers

Answer:

3 feet

Step-by-step explanation:

Answer:

3 feet

Step-by-step explanation:

A dilation is changing the size of a figure. A factor of 2.5 would mean to multiply it by 2.5.

1.2 x 2.5 is 3

3 ft is the answer

12x-20=n(3x-5) plzzzz help fast

Answers

Answer:

n=4 x=4

Step-by-step explanation:

3-5 = -2

12-20 = -8

find their what they have in common = 4

12·4= 48

3·4= 12

rearrange = 48-20 = n (12-5)

we should end up with 28 = n · 7

now we just need to figure out what ? · 7 = 28 which is 4

n = 4

I'm not sure if I did this correctly but I hope it helps

How do i find the slope-
20 points answer!
[imagine below included!]

Answers

Answer:

3/3 = 1

Step-by-step explanation:

The slope formula is..

Pick two formulas. Let's do (-5, -2) and (-2, 1)

x1  y1   x2 y2

(-5, -2)   (-2, 1)

[tex]\frac{1-(-2)}{-2-(-5)}[/tex]    =   [tex]\frac{3}{3}[/tex]  = 1

It'll work the same thing for (-2, 1) and (1,4)...

3/3 or 1 is a pattern between the points.

 

X
Which of the following best forms the figure shown?
2 angles that meet at an endpoint
2 rays that meet at an endpoint
2 lines that meet at an endpoint
2 line segments that meet at an
endpoint

Answers

Answer:

2 angles that meet at an endpoint

As per the image, we can say that 2 rays that meet at an end point.

Option 2 is correct.

What is a ray?

A ray is a part of the line having one fixed point and the other point does not have an end.

As per the image, we can say that 2 rays that meet at an end point.

Because 2 rays meet at a point and another side arrow is shown in image.

Hence, option 2 is correct.

Find out more information about ray here

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An AutoCAD drawing has a scale of 3/4 inches to 2 ft. If a piece of a bridge measures 15 feet, how long is that piece in the AutoCAD printout?


11.25 inches

5.625 inches

22.5 inche

51 inches
Please I really need this for tonight

Answers

The answer is B) 5.625 inches

Answer:

B) 5.625 inches

Step-by-step explanation:

three times a number added to 15 .

Answers

Answer:

i say 45

Step-by-step explanation:

Answer:

5×3=15

so, definitely answer is 5

;-))

What is the sound intensity of a noise that is 130 dB

Answers

Answer:

10 watts per squares meter

Answer: When the defining level of 0 decibel (10-12 watt per square metre) is taken to be at the threshold of hearing for a sound wave with a frequency of 1,000 hertz, then 130 decibels (10 watts per square metre) corresponds to the threshold of feeling, or the threshold of pain.


I hope this helps!

Jade can travel 42 miles in 4 hours please calculate jade rate of speed. (Round to 2 decimal places)

Answers

Answer:

10.50 mph

Step-by-step explanation:

S=d/t

S=42/4

S=10.50

how many 9 are present from 1 to 10000​

Answers

Answer:

300

Step-by-step explanation:

Answer:

The digits 9 occurs in the thousands place in 1000 numbers. The digit occurs 4000 times.

Step-by-step explanation:

What is the distance between -60 and -10 on
a number line?
units
90-80 -70 -60 -50-40-30-20 - 10
0
10

Answers

Answer:

50

Step-by-step explanation:

60-10

2(1-x) + 3x


Pls help I only have 24 minutes

Answers

Answer:

x+2

Step-by-step explanation:

i can confirm that the answer above this is correct

solving 2 step inequalities give three solutions for each inequality 1/5(y+10) is < or = -25

Answers

Answer:

-25

Step-by-step explanation:

Answer:

Any solution less than or equal to -115 would count. So three solutions could be -115, -116, and -117.

Step-by-step explanation:

[tex]\frac{1}{5} (y+10)\leq -25\\\frac{y}{5}+2\leq -25\\\frac{y}{5}\leq -23\\y\leq -115[/tex]

Order from least to greatest: 0.84, 0.084, 84, 8.4
Group of answer choices

Answers

0.084, 0.84, 8.4, 84

Answer:

0.084 , 8.4, 0.84, 84     sorry if im wrong

Step-by-step explanation:

Quadrilateral ABCD has vertices A (-5,2), B (-3, 6), C (6,6), and D. What
are the coordinates of D?
5
0
5
O (6,2)
(4,2)
O (-4,2)
.O (2,4)

Answers

Answer: 6,2

Step-by-step explanation:

I WILL MARK BRAINLIEST PLEASE ANSWER ITS DUE AT 1:00 PLEASE

Answers

Answer:

(7,3)

Step-by-step explanation:

Work out the area of the triangle.

Answers

Answer:

30

Step-by-step explanation:

1/2(12)(5)

Answer:

30

Step-by-step explanation:

The area of a triangle is 1/2 bh

b= base, in this case 12 cm

h= height, in this case 5 cm

so you multiply 5 times 12 and you get 60

You take that 60 and half it to get your answer of 30.

Which number line represents the following statement?
A number is more than negative five.
+ +
-4 -3 -2
-10 -9
-8
-7
-6
-5
-1
0
+
-3
+
-1
-10 -9
-8
-7
-6
-5
-4
-2
0
04
-10 -9
-8
-7
-6
-5
-4
-3
-2
0
1
-8
-10 -9
-7
-6 -5
-4
-3
-2
-1
0

Answers

Answer:

It is the third answer.

Step-by-step explanation:

It is the third answer because when you look at the equation it is 5x is greater then negative 5 so that means it’s the 3rd answer hope this helped!

The number line represented by the equation is x > 5 and the graph is plotted

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = number is more than negative five

Let the number be represented as n

where n > 5

Hence , the inequality is n > 5 and the graph is plotted

To learn more about inequality equations click :

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I NEED HELP!! But it's not an emergency. 50 Points!!

Answers

Answer:

D. x = 7 and m∠LMN = 120°

Step-by-step explanation:

Since MO bisect angle LMN, the angles formed are congruent:

∠LMO≅∠NMO

Substitute values and solve for x:

13x - 31 = x + 5313x - x = 53 + 3112x = 84x = 7

Find the value of ∠LMN:

m∠LMN = 2*m∠LMOm∠LMN = 2(13*7 - 31) = 120°

Correct option is D

Here,

MO is bisect of the [tex]\angle{LMN}[/tex],

SO,

[tex]\angle{LMO}[/tex]=~[tex]\angle{NMO}[/tex]

According to the question,

[tex]\bold{ 13x-31=x+53 }[/tex]

[tex]\bold{ 13x-x=53+31 }[/tex]

[tex]\bold{12x=84 }[/tex]

[tex]\bold{x=\dfrac{84}{12} }[/tex]

[tex]\bold{x=7 }[/tex]

Now we find the value of [tex]\angle{LMN }[/tex]

so,

[tex]\angle{LMO}=2×\angle{NMO }[/tex]

[tex]\bold{ 2×(13×7-37) }[/tex]

[tex]\bold{2×(91-31) }[/tex]

[tex]\bold{2×60 }[/tex]

[tex]\bold{120° }[/tex]

What does 58/6 equal

Answers

Answer:

9.66666666667

Step-by-step explanation:

The fraction 58

6

is equivalent to 9 2

3

.

This fraction is a improper fraction once the absolute value of the top number or numerator (58) is greater than the absolute value of the bottom number or denomintor (6). So, the equivalent fraction is a mixed number which is made up of a whole number (9) and a proper fraction (2

3

).

The fraction 58

6

is equal to 58÷6 and can also be expressed as a decimal as 9.66667 and expressed as a percentage as 966.7%.

Find the distance between the two points rounding to the nearest tenth (if necessary).
(4,2) and (1, -2)

Answers

Answer:

5 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (4, 2) and (x₂, y₂ ) = (1, - 2)

d = [tex]\sqrt{(1-4)^2+(-2-2)^2}[/tex]

   = [tex]\sqrt{(-3)^2+(-4)^2}[/tex]

   = [tex]\sqrt{9+16}[/tex]

   = [tex]\sqrt{25}[/tex]

   = 5

 

Solve for N. Express the solution in decimal form.

Answers

Answer:

N= 3.8

Step-by-step explanation:

Answer:

3.8

Step-by-step explanation:

i did this on iready and this was the answer.

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