Mathematics Middle School

What is the solution to the system of equations?

2x – y = 7

y = 2x + 3

(2, 3)
(2, 7)
no solution
infinite number of solutions

Answers

Answer 1
No solution would be the answer.
Answer 2
ANSWER


The given system of equations has no solution.

EXPLANATION

We write the two equations in the slope-intercept form,

[tex]y = mx + c[/tex]


The first equation is
[tex]2x - y = 7[/tex]

We make y the subject to obtain,

[tex]y = 2x - 7 - - (1)[/tex]

The second equation is already in slope intercept form.


[tex]y = 2x + 3 - - (2)[/tex]



We can see that the two equations have the same slope but different y-intercept. This implies that, the two equations will never intersect. Therefore the system of equations has no solution.



Related Questions

Can someone help me find the measure of angle C?

Answers

The sum of all three angles of a triangle must equal to 180°.

6x + 2x + 2x = 180
10x = 180
x = 18

2 * 18 = 36.

Your answer should be 36°.

Find the area of this figure

Answers

24.48 is the answer i think

Use a straightedge to divide the fraction bar into 6 equal parts then shade 4 parts

Answers

where are the answers/picture

PLEASE HELP ASAP!! CORRECT ANSWER GETS BRAINLYEST!!
Multiply. (2x+1)(x−5) Express the answer in standard form. Enter your answer in the box

Answers

[tex](2x+1)(x-5) \\ 2x^2-10x+x-5 \\ 2x^2-9x-5[/tex]

Given is (2x+1)(x−5)

We need to multiply the binomials and write the expression in standard form.

We know about distributive property that is given as "a(b+c) = ab + ac".

We have (2x+1)(x−5).

Step 1: Using Distributive property on first binomial expression (2x+1).

2x(x-5) + 1(x-5)

Step 2: Using Distributive property on second binomial expression (x-5).

2x(x) + 2x(-5) + 1(x) + 1(-5)

2x² - 10x + 1x - 5

Step 3: Combining like terms.

2x² - 9x - 5

Hence, final answer is (2x² - 9x - 5).

A cylinder has a radius of 16 m and a height of 9 m. What is the approximate surface area of the cylinder? Use 3.14 for π. A. 603 m2 B. 904 m2 C. 2512 m2 D. 14,469 m2

Answers

The formula for finding the surface area of a cylinder is as follows: 

A = 2[tex] \pi rh[/tex] + 2[tex] \pi r^{2} [/tex]

Since we know the values of the radius and the height (and we know Pi = 3.14), we can plug these in to our formula and solve to find the surface area: 

A = 2 (3.14) (16) (9) + 2 (3.14) [tex] 16^{2} [/tex]

A = 904.32 + 1607.68

A = 2512

The approximate surface area of this cylinder is 2,512 [tex] m^{2} [/tex]

Find the slope of the line

Answers

y=3/2x+1 is the answer
Y= 3/2 + 1
This would help

find the arithmetic mean an of an-1=3.9 and an+1=7.1

Answers

a[n] = (a[n-1] +a[n+1])/2 = (3.9 +7.1)/2 = 11/2 = 5.5

The arithmetic mean is 5.5

So therefor the answer is 5.5

Rational and Irrational Numbers what is it explain

Answers

rational numbers can be expressed as fraction decimal or percentage but irrational numbers cannot be written as two integers

A rational number is part of a whole expressed as a fraction, decimal or a percentage. ... It is a numberthat cannot be written as a ratio of two integers (or cannot be expressed as a fraction). For example, the square root of 2 is an irrational number because it cannot be written as a ratio of two integers.

Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.A cube-shaped bin has an edge length of 3/4 yard.What is the volume of the container? Enter your answer, as a fraction in simplest form, in the box.

Answers

This is the work shown with the answer. I hope this helps. God bless

Answer:

The answer is what the other person said, Mark them brainliest cause' the are correct! answer 27/64

Step-by-step explanation:

The heart rates for puppies are normally distributed, with a mean heart rate of 180 beats
per minute (60-160 beats per minute for most adult dogs) with a standard deviation of 6
bpm (beats per minute).
a. What percentage of puppies will have heart rates of less than 187 bpm?
b. What percentage of puppies will have heart rates between 170 bpm and 187 bpm?
c. If 500 puppies are examined, how many would you expect to have a heart rate of less
than 187 bpm?
d. 10% of all puppies will have a heart rate greater than what value?

Answers

So if the standard deviation is 6 bpm, and the mean = 180, then +1s = 186, +2s = 192, -1s = 174, -2s = 168

a. The % less than 187 are all, including and less than, +1s. So 50% + 34.1% (1s) = 84.1% of the puppies

b. The % between 170 and 187 would be between -1.5s and +1s. So (34.1% × 2) + (13.6/2) = 68.2% + 6.8% = 75% of the puppies

c. Since in a) we said that the % for less than 187 bpm was 84.1%, we just take that % of 500: .841×500 = 420.5, so we'd expect between 420 and 421 puppies

d. 10% of all.puppies will have a heart rate greater than? This is asking what deviation above the mean corresponds to 10%.
This will be around those above around +1.5s, so around 188 bpm

A chef cooked 8 kilograms of mashed potatoes for a dinner party.if the guests only ate 6/8 of the amount he cooked, how much did they eat?

Answers

they answer is they ate 6 kilos! of the 8 kilos because you have to reduce 6/8 to 3/4 and 3/4 of 8 is 6. 
Hello!

Let's find what 1/8 of 8 kilograms is, because that'll help us find 6/8 of them.

Now, you can find 1/8 of 8 kilograms using many different ways, but I just prefer this one.

8 ÷ 8 = 1

Multiply this by the numerator of the fraction that represents how much that guests ate.

1 × 6 = 6

ANSWER:

The guests ate 6 kilograms of the food.

Help me anyone please !!!!!

Answers

3. ΔBDE ~ ΔBCF

4. BF/BC = BE/BD

5. 254/BC = 160/457
.. BC = 254*457/160 ≈ 725 units

Arlene sells computers and tables. She earns 8% commission on every dollar of sales that she makes

Answers

I attached a screenshot for the complete question.

Answer:
equation is: 0.08x = 2560
Total sales = $32,000

Explanation:
Assume that the total sales for the month is x.

Now, we are given that:
Her commission is 8% for each dollar and that she made a total of $2560 in commission.
This means that:
8% of x = 2560
8% * x = 2560
0.08x = 2560 ...........> required equation

Now, after getting the equation, we can solve for x to get the total sales as follows:
0.08x = 2560 
x = 2560 / 0.08
x = 32,000

This means that her total sales for the month is $32,000

Hope this helps :)

What number is 12% of 25?

Answers

Hello,

The answer is "3".

Reason:

12% of 25=3

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit
12% of 25 would be 3.

13)

 A coin is tossed three times, with 'heads' or 'tails' recorded after each toss. The number of possible outcomes for this experiment is


Answers

1/8 (12.5%) i think

ttt,tht,tth,htt,thh,hht,hhh,hth

8 possible outcomes

x=5x+16 what is the answer

Answers

X=5x+16 

Subtract 5x from each side
x−5x=5x+16−5x
-4x = 16

Divide each side by -4
-4x ÷ -4 = 16 ÷ -4
x = -4
x=5x+16
x-5x=16
4x=16
x=-4
I think so
Good luck

I need help with exercises 3,4, and 6 please show all work and don’t answer number 5 just tell me if it is correct

Answers

*If you need me to do #5, DM me!

3. The area of a triangle can be given by (just plug and chug as always):
[tex]A_t = \frac{1}{2} bh = \frac{1}{2}(3)(4) = 6ft^2 [/tex]
The area of the triangle is 6ft².

4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):
[tex]A_t = \frac{1}{2} bh = \frac{1}{2}(8)(3) = 12m^2[/tex]
[tex]A_r = bh = 12(8) = 96m^2[/tex]
Now we just add them:
[tex]96+12 = 108m^2[/tex]

So, the area of that pentagon is 108m².

5. You are actually wrong on this one because the area of a triangle is:
[tex]A_t = \frac{1}{2}bh [/tex]
So, just halve your answer and it will be correct.

6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:
[tex]A_t = \frac{1}{2}bh = \frac{1}{2}(2.5)(5) = 6.25cm^2 [/tex]
Multiply by 4 to get total area:
[tex]6.25*4 = 25cm^2[/tex]

So, the area of the given rhombus is 25cm².

A rectangle's length is 13meters more than 3 times its width. The area is 10 square meters. What is the width?
A.) 2/3m
B.) 3m
C.) 5m
D.) 10m

Answers

all of these answers are incorrect

how would u solve this ?

Answers

Definition of negative exponent:

[tex] a^{-n} = \dfrac{1}{a^n} [/tex]

Your problem:

[tex] 10^{-8} = \dfrac{1}{10^8} = \dfrac{1}{100,000,000} = 0.00000001 [/tex]

how do you solve x/2-x/4=6

Answers

Hi there!

[tex] \frac{x}{2} - \frac{x}{4} = 6[/tex]
To get rid of the fractions you have to multiply by 4. Multiplying by 2 does not work, because of we do that, we can't get rid of x / 4. Hence, multiply the entire function by 4

[tex]4 \times \frac{x}{2} - 4 \times \frac{x}{4} = 6 \times 4[/tex]
[tex]2x - x = 24[/tex]
[tex]x = 24[/tex]

Therefore, the solution to this equation is x = 24. We've found this solution by multiplying the entire function by 4 and then we've collected terms.

Clarence saved 19% of the money he earned. If Clarence earned $90, how much did he save?

Answers

19% is 0.19. 0.19 x 90 is 17.1. Clarence saved $17.1

The amount of money saved is $17.10 .

Percentage can be described as a fraction of a number that is usually expressed as a number out of hundred.

In order to determine the amount of money saved, multiply 19 percent by the amount of money earned.

Amount of money saved = 19% x $90

0.19 x $90 = $17.10

To learn more about percentages, please check: https://brainly.com/question/25764815

Jamal borrowed $625 from his brother 8 years ago. Jamal repaid his brother in full with $830. What simple annual interest rate did Jamel pay?

A) 4.0%

B) 4.1%

C)4.2%

D) 4.3%

Answers

Hello!
----------
The answer is B, 4.1%.
----------
WORK: 625*0.041*8=205+625=830
----------
Hope this helps and have a great day!

If Jamal borrowed $625 from his brother for 8 years and later paid $830 then he must have taken it at the simple rate of 4.1%.

What is simple rate of interest?

The interest which is not calculated on the aggregate interest or which is calculated only on principal amount is known as simple interest.

How to determine rate of interest?

The principal amount is $625 and the number of years is 8 and we have to find the rate of interest.

The amount which is ultimately paid is equal to principal and interest. So,

830=625+625*r/100*8

830-625=625*r/100*8

205=625*r/100*8

205*100/625*8=r

20500/5000=r

r=4.1%

Hence if the principal amount is $625 and the amount lastly paid is $830 then the rate of interest is 4.1% which is option B.

Learn more about interest at https://brainly.com/question/16134508

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what is equivalent to 3/5-5/6=-7/30

Answers

The equation above is equivalent. 3/5-5/6 does equal -7/30 or -0.2333(repeating decimal) so the whole equation is equivalent. Hope this helps.

give your own example of irrational number explain why the number you chose is irrational

Answers

√38 is irrational.

38 is an integer that is not the square of an integer, so its square root is not a rational number.

Answer: 157.34123598...

Step-by-step explanation: To determine if the decimal 157.34123598... is rational or irrational, notice that the decimal is non-terminating. However, this decimal is also non-repeating because there is no digit of group of digits that repeat.

When we have a decimal that is both non-terminating and non-repeating, it must be an irrational number.

Apple at on sale for $1.20 a pound. Logan bought 3/4 of a pound. How much money did Logan spend on apples

Answers

1.20/4= .3 which is the cost per 1/4 of a pound.
so then you multiply .3 by 3 to get the cost of 3/4 of a pound which is .90 cents.

Which ones are correct? PLEASE ANSWER QUICK IF YOU KNOW

Answers

First, Third and Fourth

what is the value of x

Answers

the answer to your question is 54 because you have to bring over 2 to 3 and it would be 1x then bring over 52 and add it to 2 = 54

The lengths of two sides of a triangle are 12 inches and 4 inches. Which of the following dimensions is the third side of this triangle?

Answers

The triangle inequality requires the third side be in the range
.. 12 -4 ≤ third side ≤ 12 +4
.. 8 ≤ third side ≤ 16 . . . . . . . . . your answer is the number(s) in this range

_____
Some define the triangle inequality using < rather than ≤. Be careful here.

There is a one time fee of $27 to join the gym the monthly cost of using the gym is $18 write any Quezon for the relationship that gives the total cost Y in dollars of joining the gym and using it for X months

Answers

y=18x+27

y represent the total cost
18 represents the cost per month
x represent the number of months
27 is the initial fee
Final answer:

The total cost Y in dollars of joining the gym and using it for X months can be determined using the linear equation Y = 27 + 18X, where 27 is the one-time joining fee, and 18X is the cost of using the gym for X months.

Explanation:

To determine the total cost Y in dollars of joining the gym and using it for X months, you would need to consider both the one-time joining fee and the recurring monthly cost. The one-time joining fee is $27 and the monthly cost is $18.

So, if you are going to gym for X months, the total cost will be the sum of the initial joining fee and the monthly cost times the number of months you are going. This relationship can be represented by a linear equation:Y = 27 + 18X.

In this equation, Y represents the total cost of joining and using the gym for X months. The 27 is the one-time joining fee and the 18X represents the total cost of the monthly fees for X months.

Learn more about Linear equations here:

https://brainly.com/question/32634451

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Gerry folded 3 out of 8 of the pile of shirts molly folded 1out of 8 of the pile of shirts together did they fold more than half the shirts explain your answer

Answers

Gerry folded 3/8 of the pile of shirts and Molly folded 1/8 of the pile of shirts, so in total they folded 4/8 of the pile of shirts.

4 is half of 8, but it is not more than half of 8, so, together, Gerry and Molly did NOT fold more than half the shirts.
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