What is the value of y in the solution to the following system of equations?
2x + y = -4
5x + 3y = -6

Answers

Answer 1

y= -32

Step-by-step explanation:

step 1: from the first equation you will make X the subject of formula, the equation then becomes;

X= 4-y

2

step 2: substitute X in the second equation, the equation then becomes 5 * [4-y] + 3y = -6

[ 2]

step 3: find the LCM and then cross multiply; 20-5y+6y = -6

2

20+y = -12

y= -12-20

y= -32


Related Questions

the _________ is a number that is multiplied. the number that indicates how many times this number is used as a factor is the ___________

Answers

The  base   is a number that is multiplied. The number that indicates how many times this number is used as a factor is the  exponent  

For example, the number 2^3 expands out to 2*2*2. We have three copies of the base '2' being multiplied.

Another example: 5^2 = 5*5.

Answer:

The "Factor" is a number that is multiplied. The number that indicates how many times this number is used as a factor is the "Exponent".

Step-by-step explanation:

Example: 7 • 7 can be written as 72, 7 is the base and 2 is the exponent. The exponent 2 means there are two factors.  

Hope it helped : )

What is the value of x? B 75° Enter your answer in the box. X=​

Answers

Answer:

55

Step-by-step explanation:

75+50=125

180-125=55

The volume of the world's oceans is nearly 1.5⋅10^9 cubic kilometers. Write this number in scientific notation.

Answers

Answer:

"The World Ocean." The Columbia Encyclopedia. CD-ROM. 2007, 6th Ed. New York: Columbia University Press. "The World ocean has an area of about 361 million sq km (139,400,000 sq mi), an average depth of about 3,730 m (12,230)

Viau, Elizabeth Anne. World Builders: Water on Earth. California State University Los Angeles. 2003.

There are two origins of water: comets (extraterrestrial bombardment) and out gassing (condensation of steam from early volcanism). These processes are continuing today.

Step-by-step explanation:

Find the total amount given the original price and tax rate. Round to the nearest cent if necessary.
$15.25,7%

Answers

Given:

Original price = $15.25

Tax rate = 7%

To find:

The total amount.

Solution:

We know that,

Total amount = Original price + Tax

According to the question,

Total amount = 15.25 + 7% of 15.25

[tex]\text{Total amount}=15.25+\dfrac{7}{100}\times 15.25[/tex]

[tex]\text{Total amount}=15.25+1.0675[/tex]

[tex]\text{Total amount}=16.3175[/tex]

Round to the nearest cent (two decimal places).

[tex]\text{Total amount}\approx 16.32[/tex]

Therefore, the total value is $16.32.

they finish
There are 4 athletes at a track meet. How many different ways can
first, second, and third?

Answers

Answer:

4 ways i think

Step-by-step explanation:

Hope this helps!

Answer:

its 20

Step-by-step explanation:

hope this helps

which graph could represent a function ? ?

Answers

Answer:

The third Graph

Step-by-step explanation:

Using the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Answer:

The third Graph

Step-by-step explanation:

A piece of timber is x cm long. 9 cm is cut off how much is left

Answers

Answer:

x-9cm

Step-by-step explanation:

compute

Which of the following is not a function?
a. (1,1),(2,2), (3,3), (4,4)
b. (2,3), (2,4), (3,3), (3,4)
c (2,4),(4,8).(10,12). (4,10)
d. (2,4), (3,4), (5,4), (6,4)​

Answers

Answer: B

Number on the left: x-value
Number on the right: y-value

If there are 2 y-values for one x-value it is NOT considered a function.

For instance in the answer:

(2,3), (2,4), (3,3), (3,4)

You can clearly see that the x-values (2 & 3) repeat more than once; therefore, it is NOT a function.

On the other hand if you have 2 DIFFERENT x-values for the same y-value it IS A FUNCTION.

For ex D: (2,4), (3,4), (5,4), (6,4)

As you can see there are 4 DIFFERENT x-values with same y-value; therefore it is A FUNCTION

To make it easier:

If x-values appear more than once = NOT A FUNCTION

If x-values appear only ONCE = FUNCTION

Remember: y-values are ALLOWED to repeat

I hope this helps. If you have any questions please let me know in the comments.

A delivery truck drove 52 miles per hour. It took 4 hours to travel between two towns. What is the distance between the two towns? Use the equation dert, where d is distance, r is rate, and t is time. The distance between the two towns is miles. ​

Answers

Answer:

104?

Step-by-step explanation:

52*4 = 208 ÷ 2 = 104


Not every straight line will pass the vertical line test. What is the only type of straight line that would fail the vertical line test?

Answers

Answer:

Gfdyuihgff hibhhiuuuuyyygfxf. Hugfti. Hffty9

Answer:

vertical line

Step-by-step explanation:

Write as a power of 10. How did you do it? a) 100 b) 10 000 c) 100 000 d) 10 e) 1000 f) 1 000 000

Answers

Answer: ↓↓↓

Step-by-step explanation:

a.) 100 - 10^2

b.) 10,000 - 10^4

c.) 100,000 - 10^5

d.) 10 - 10^1

e.) 1000 - 10^3

f.) 1,000,000 - 10^6

What I do personally is that I count the number of zeros in the number and that is how many powers the ten powers to. Like a, there are two zeros in 100 so its 10 to the power of 2.

Brian has reduced his cholesterol level by 13% after his last check up. If his original level was 240, what is his approximate cholesterol level now?

Answers

Answer:

208.8

Step-by-step explanation:

240 times 0.87 is 208.8

Can someone tell just the answer

Answers

Answer:

Option D is correct .

Step by step explanation:

A function is given to us and we need to find its inverse . The function is g(x) = -2x⁵ - 2.

So for finding its inverse , exachange x with y .

⇒ g(x) = -2x⁵ - 2 .

Let g(x) = y ,

⇒ y = -2x⁵ - 2 .

Replace x with y ,

⇒ x = -2y⁵ - 2

⇒ x + 2 = -2y⁵

⇒ y⁵ = x+2 / -2

⇒ y⁵ = (-1) ( x + 2) / (-1)(-2)

⇒ y⁵ = -x - 2/ 2

y = [ ( -x -2)/2 ]

Hence the inverse of the function is ,

[tex]\boxed{\red{\bf f^{-1}(x)=\sqrt[5]{\dfrac{-x-2}{2}}}}[/tex]

Hence the correct option is (D) .

Amy and Ben share £21 between them in the ratio 5 : 2. How much does Amy get?

(Im really sorry I just don't understand ratio.)

Answers

Answer:

✑ [tex] \underline{ \underline{ \sf{First ,\: Let's \: learn \: about \: the \: ratio}}} : [/tex]

Let us consider , there are 30 boys and 40 girls in a school. So, the ratio of number of boys to number of girls = [tex] \sf{ \frac{30}{40} = \frac{3}{4} = 3:4}[/tex] and read as 3 is to 4. We can say , the ratio compares two of more quantities of same unit. Until two quantities have same units , it is meaningless to compare by ratio. So, to find the ratio of two quantities , it is necessary to express them in same unit or of same kind. Since , they are in division form. So ,ratio is unit less quantity. Thus , the ratio is a comparison of two quantities of the same kind in division which doesn't have any units. For example : [tex] \sf{ \frac{a}{b}} [/tex] is a ratio and is read as ' a is to b ' in which ' a : is antecedent and ' b ' is called consequent.

✎ [tex] \underline{ \underline{ \sf{Now \: let's \: solve : }}}[/tex]

☪ [tex] \underline{ \sf{Solution}} : [/tex]

£ 21 is to be divided between Amy and Ben in the ratio 5 : 2. So, let Amy get £ 5x and Ben get £ 2x.

Then , According to the question , [tex] \text{5x +2x = 21}[/tex]

Solve for x :

⇝ [tex] \sf{7x = 21}[/tex]

⇝ [tex] \sf{ \frac{7x}{7} = \frac{21}{7} }[/tex]

⇝ [tex] \sf{x = 3}[/tex]

The value of x is 3. Now , substitute the value of x in 5x :

Amy received £ 5x = 5 × 3 = £ 15 .

☥ [tex] \boxed{ \boxed{ \tt{Our \: final \: answer \: is \bold{£ \: 15}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

37.
An express train travelled at a certain average speed from Town X to Town Y which was
150 km away. It then continued its journey to Town Z at an average speed 20 km/h faster than
its initial average speed. Town Ywas 200 km from Town Z. If it took the same time to travel for
both parts of the journey, what was the train's average speed for the first part of the journey?​

Answers

Answer:

60 km/hr

Step-by-step explanation:

Let the speed at the initial average speed from Town X to Town Y be a.

We are told that it journeyed to Town Z at an average speed 20 km/h faster than its initial average speed. Thus, its average speed here is (a + 20) km/hr.

Town Y was 200 km from Town Z.

Thus, time spent here is;

t_2 = 200/(a + 20)

Time from X to Y is; t_1 = 150/a

We are told that it took the same time to travel for both parts of the journey.

Thus; t_1 = t_2

150/a = 200/(a + 20)

Cross multiply to get;

150(a + 20) = 200a

150a + 3000 = 200a

200a - 150a = 3000

50a = 3000

a = 3000/50

a = 60 km/hr

Help In math pls this a slope problem

Answers

Answer:

D

Step-by-step explanation:

Tell whether the ordered pair (-4,-2) is a solution of the system of linear equations.

Y= 2x+6
Y= -3x-14

Answers

The ordered pair (-4,-2) is a solution for both of the equations

Isaac walks 6/10 of a mile of a mile in 1/5 of an hour. If Isaac’s walking rate remains constant, what is Isaacs walking rate in miles per hour?

Answers

Answer:

3 miles per hour.

Step-by-step explanation:

To get his walking rate in miles per hour, we multiply 1/5 by its reciprocal, 5/1. We also multiply 6/10 by 5/1. This gets us 30/10 of a mile in an hour. We can simplify 30/10 to 3. This means he walks at 3 miles per hour.

Which expression is equivalent to 12(4m−2n+4)?
1.2m−n+2
2.2m−2n+4
3.8m−4n+4
4.8m−4n+8

Answers

Answer:

1. 2m - n + 2

Step-by-step explanation:

12×4m - 12×2n + 12×4. ( because 12 is multipled by whole bracket)

48m - 24n + 48.

2m - n + 2. (by finding common factor 24)

Please help me answer this question thank you.

Answers

Answer:

122°

Step-by-step explanation:

10a + 2° + 5a - 2° = 180° [ being linear pair ]

15a = 180°

a = 180° / 15

a =12°

Now

<XYQ = 10a + 2° = 10 * 12° + 2° = 120° + 2° = 122°

Hope it will help :)

What is 4.35 divided by 2.5?​

Answers

answer:
it’s 1.74

explanation

Answer:

1.74

Step-by-step explanation:

3 + 7 Is what

A) 10

B) 18

C) 37

Answers

Answer:

A)10

Step-by-step explanation:

hope it helps u

Simplify: 5d?(3d - 2)
A
8d8 + 3d2
B.
15d3 + 3d
C 15d3 - 10d2
D 8d3-10d?

Answers

It’s 15d^2 -10d is that not an answer choice?

PLEASE HELP!!
Graph the line with the equation

Answers

Answer:

Step-by-step explanation:

-20 > -2x + 4 inequality

Answers

Step-by-step explanation:

-20 > -2x + 4

2x > 4 + 20

2x > 24

x > 12

or

x ∈ 《12 , + ∞》

-20 > -2x + 4

-20 -4 > -2x

-24 > -2x

-24/-2 < x  <inequality changes when you divide by a -ve no. >

12 < x

pls help i’ll give you brainliest

Answers

Step-by-step explanation:

5x and -7x are like terms

5x-7x+9=-2x+9 and there's your equivalent expression

Answer:

i want to say 7x is the answer

Step-by-step explanation:

because if you add 5x to 9 = to 14 the -7 = to 7x

4 +14 x 17 x 4 + 3
Orders of operations

Answers

959
You do 14 times 17 then times that by 4 that add 4 and 3

What is the sum of all prime numbers beetween 70 to 80?

What is the product of prime numbers immediately before and after 50?

Answer both plz thx....​

Answers

Answer:

Prime numbers between 70 and 80 are 71,73,79

71+73+79=223

50 =2x5x5=2x5^2

8/10 lies _____ on number line.

Answers

8/10 = 0.8

Therefore, 0.8 (8/10) is put on the number line shown below.

Which of the following correctly uses absolute value to show the distance between -80 and 15? (5 points)

a
|-80 - 15| = |-95| = -95 units

b
|-80 + 15| = |-65| = 65 units

c
|-80 - 15| = |-95| = 95 units

d
|-80 + 15| = |-65| = -65 units

Answers

Answer:

it's answer is b

|-80+15| = |-65| = 65 units

Hope this helps :)

This question is about displacement. Displacement is a set of vectors. So the answer is - can't be + can't be.

so,answer-b

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