What is the value of y in the solution to the system of equations?
x+y=1
2x - 3y = -30
O-8
O-3
O 3
08

Answers

Answer 1

Answer:

y=6.4

Step-by-step explanation:

The solution is in the image

What Is The Value Of Y In The Solution To The System Of Equations?x+y=12x - 3y = -30O-8O-3O 308
Answer 2

The system of equations are solved and the value of y = 32/5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

x + y = 1   be equation (1)

2x - 3y = -30   be equation (2)

Multiply equation (1) by 2 , we get

2x + 2y = 2   be equation (3)

Subtracting equation (2) from equation (3) , we get

5y = 32

Divide by 5 on both sides , we get

y = 32/5

Hence , the equation is solved and y = 32/5

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Related Questions


Find the measure of each side of a square
that has an area of 225 square centimeters.

Answers

The answer is 15. Explanation: The area formula for a square is length x width. In this case squares have all equal sides so 15 x 15 is 225.

Jeremy finished 3/5 of his homework what percent of homework did he finish

Answers

Answer:

60%

Step-by-step explanation:

Percent means per hundred. Change to "per hundred"

3/5 = 6/10 = 60/100

3/5 is 60%

OR

Divide 3/5 means 3÷5...

3÷5 = .6

Change decimal to percent by multiplying by 100.

.6 × 100 = 60

60%

Answer:

60%

Step-by-step explanation:

well if they only finished 3/5 it’s going to be

60/100 = 60%

I need an answer for this:
stirring a hot cup of tea causes a metal spoon to get warm which statement best explains why the spoon gets warm?

Answers

Answer:

here we go

Step-by-step explanation:

Stirring a cup of hot tea causes a metal spoon to get warm. Which statement best explains why the spoon gets warm? Heat energy transfers from the hot tea to the spoon.

Answer:

The molecules at the end of the spoon, in turn, collide with the molecules in the adjacent, cooler part, passing the kinetic energy on. This continues through the spoon until the handle molecules are also heated.

Step-by-step explanation:

Stay safe, stay healthy and blessed.Have a good day !Thank you

Determine if the sequence is arithmetic. If it is, find the common difference.
1) 35, 32, 29, 26, ...
2) -3, -23, -43, -63, ...

Answers

Answer:

1) yes--common difference is 3.

Chase goes to a restaurant and the subtotal on the
bill was a dollars. A tax of 7% is applied to the bill.
Chase decides to leave a tip of 15% on the entire bill
(including the tax). Write an expression in terms of x
that represents the total amount that Chase paid.

Answers

x = 1.15(1.07y)

x is the total amount paid
y is the subtotal before tax
1.07 is the 7% tax imposed
1.15 is the 15% tip

Help please i only have 5 mins left on my test please answer this


P(Head, Diamond AND Head, Heart) = ?

Answers

Using it's concept, it is found that the desired probability is given by:

P(Head, Diamond AND Head, Heart) = 1/64.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, each outcome is equally as likely, having a 1/8 probability, and they are independent.

Then:

P(Head, Diamond AND Head, Heart) = 1/8 x 1/8 = 1/64.

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Look at the following four expressions:

Expression A: (14647 + 2956) ÷ 6
Expression B: 6 x (14647 + 2956)
Expression C: (14647 + 2956) + 6
Expression D: (14647 + 2956) − 6

Which expression has the least value? (1 point)

Group of answer choices

Expression A

Expression B

Expression C

Expression D

Answers

Answer:

Expression D has the least value

A computer generates 50 integers from 1 to 8 at random. The results are recorded in this table.

Outcome 1 2 3 4 5 6 7 8
Number of times outcome occurred

5 8 9 7 4 6 5 6
What is the experimental probability of the computer generating a 2 or a 4?


12%

15%

22%

30%

Answers

The experimental probability of the computer generating a 2 or a 4 is 30% option fourth is correct.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A computer generates 50 integers from 1 to 8 at random.

Total number of outcomes = 5+8+9+7+4+6+5+6  = 50

Computer generating a 2 = 8

Computer generating a 4 = 7

P(computer generating a 2) = 8/50

P(computer generating a 4) = 7/50

P(computer generating a 2 or a 4) = 8/50 + 7/50 = 15/50 or

= 0.3×100

= 30%

Thus, the experimental probability of the computer generating a 2 or a 4 is 30% option fourth is correct.

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Find arc QT.
Answers are:
A.71
B.23
C.46
D.142

Answers

Answer:

d)142º

Step-by-step explanation:

[tex]\widehat{AB}=2\times71\º=142\º[/tex]

2. What is the solution of matrix equation
[2 7
1 4] x=[2 5]

Answers

Answer:

  (d)  X = [-27, 8]

Step-by-step explanation:

The solution to the matrix equation can be found by left-multiplying both sides of the equation by the inverse of the coefficient matrix.

  AX = B . . . . given

  X = A⁻¹B

__

  [tex]X=\left[\begin{array}{cc}2&7\\1&4\end{array}\right]^{-1}\left[\begin{array}{c}2\\5\end{array}\right] =\left[\begin{array}{cc}4&-7\\-1&2\end{array}\right]\left[\begin{array}{c}2\\5\end{array}\right] \\\\X=\left[\begin{array}{c}-27\\8\end{array}\right][/tex]

_____

Additional comment

A calculator or spreadsheet can help with this. The solution can also be found by row-reducing the augmented matrix.

For items 6-8

Write IMPOSSIBLE, UNLIKELY, AS LIKELY AS UNLIKELY, LIKELY and CERTAIN to describe each of the following statements.

6. ___________ The sun will rise tomorrow. (CAPSLOCK ALL LETTERS)
Answer: ________________

7. __________ Bats are birds. (CAPSLOCK ALL LETTERS)
Answer: __________________

8._________ The weather forecast says there is 50% chance of rain today, (CAPSLOCK ALL LETTERS
Answer: _________________

NONSENSE REPORT​​

Answers

6. CERTAIN
7. CERTAIN
8. LIKELY

PLEASE HELP FAST, I'LL MARK YOU AS BRAINLIST
Marcus walks halfway around a square gym with an area of 90,000m². How far did he walk

Answers

Well if ur looking for a square root it would be 300m2 (meters squared)

I would like help :)

Answers

Answer:

diameter - B

central angle - E

radius - A

tangent - D

minor arc - F

chord - C

Using half angle identities, find an EXACT expression for sin(7π/12).

Answers

Answer:

±[tex]\frac{1+\sqrt{3} }{2\sqrt{2} }[/tex]

Step-by-step explanation:

We can rewrite [tex]sin(\frac{7\pi }{12} )[/tex] as [tex]sin(\frac{7\pi }{6} (\frac{1}{2} ))[/tex]. The half-angle identity for sin tells us that [tex]sin(\frac{x}{2} ) = \sqrt{\frac{1 - cos(x)}{2} }[/tex] (plus or minus). Now, we can plug in [tex]\frac{7\pi }{6}[/tex] for x. When we do that, we get [tex]\sqrt{\frac{1 - (-\frac{\sqrt{3}}{2}) }{2} }[/tex] =  ± [tex]\frac{1+\sqrt{3} }{2\sqrt{2} }[/tex].

Hope this helped! :)

How far does the unicycle move if the wheel turns once?

Pierre enters a 100m unicycle race. How many times must the wheel rotate completely in order for Pierre to travel 100m?

Answers

The unicycle would move 2.512 meters if the wheel turns once

The wheel needs to rotate completely 40 times in order for Pierre to travel 100m

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

a) The circumference of the wheel = π * diameter = 3.14 * 80 cm = 251.2 cm = 2.512 m

The unicycle would move 2.512 meters if the wheel turns once

b) For a 100m race:

Number of wheel rotation = 100 m / 2.512 m = 39.8

The wheel needs to rotate completely 40 times in order for Pierre to travel 100m

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What is the angle of evaluation of the top of a tree 8m high from a point on the ground 9.2m away from the foot of the tree

Answers

Answer: 40.69°

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which of the following numbers ae divisible by 3?
a. 534
b.2176
c.59742
d.45846

which of the following numbers are divisible by 4?
a.9698
b.98746
c.5620
d.56208

Answers

Answer:

1. A

2. C

Step-by-step explanation:

1. A

2. C

Complete the table by giving the length and area for each
width. (The width is the side perpendicular to the building.)
width (feet) length (feet)
area (square feet)
10
30
40
W
of the play area

Answers

The values of length are 100, 60, and 40 feet respectively, area of the rectangle 1000 square feet, 1800 square feet, and 1600 square feet respectively.

What is the area of the rectangle?

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We know the perimeter of the rectangle = 2(w+l)

The sum of w+w+l = 120  (given)

2w + l = 120

From the above equation, we can calculate the l of the rectangle:

We have w = 10 feet

l = 100 feet

Area = 10×100 = 1000 square feet

When w = 30

l = 60 feet

Area = 60×30 = 1800 square feet

When w = 40

l = 40 feet

Area = 40×40 = 1600 square feet

Thus, the values of length are 100, 60, and 40 feet respectively, area of the rectangle 1000 square feet, 1800 square feet, and 1600 square feet respectively.

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.To help him start a business, Cameron took out a $10,000 loan from a bank. The loan has an annual interest rate of 5%. What expectation should Cameron have?

Answers

Answer:

[tex]A = 10,000(1.05t)[/tex] where t is in years

Step-by-step explanation:

I'm going to assume that the expectation that Cameron has is the amount of money after t years.

We can use the simple interest formula [tex]A = P(1+rt)[/tex] where A is the final amount, P is the principal, r is the rate, and t is time.

We can plug in 10,000 for P and 0.05 for r, giving us

[tex]A = 10,000(1.05t)[/tex]

Gabriella is playing a board game. The
probability that Gabriella will lose a turn on
her next turn is 0%. Which word or phrase
describes the probability that Gabriella will
lose a turn?

Answers

Answer:

Impossible.

Step-by-step explanation:

I learned that you can use the word impossible during one of my math classes, so I chose the word impossible since she cannot lose a turn on her next turn.

A rectangular swimming pool has a length of 50 meters, a width of 25 meters, and a depth of 2 meters. How much paint would be needed to cover the sides and bottom of the pool?

Answers

Answer:

2500m³

Step-by-step explanation:

A = length x width x height

50m x 25m x 2 m

=2500m³

4 1/3
What is the value of this equation?

Answers

Answer:

4.33

Step-by-step explanation:

1/3=0.33 recuring

4 just eqauls 4

so you add 0.3 recuring to 4

and depending on significant figures it wants you round it ill assume it wants 3 and go 4.33

'the largest prime number that is a factor of 42'
is multiplied by
'the smallest prime number that is a factor of 28'

Answers

The answer is 14, since 7x2=14.

Answer:

14.

Step-by-step explanation:

42 = 2 8 3 * 7

Largest prime factor = 7

28 = 2 * 2 * 7

Smallest prime factor = 2

Answer = 2*7 = 14.

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

19.3
It’s a Pythagorean theorem problem, so you add together the squares of each leg to get the square of the hypotenuse. In this case you have to do it backwards by subtracting one leg squared from the hypotenuse squared

Please help!!! Will give brainliest

Answers

Answer:

y ≥ 14

Step-by-step explanation:

Add 27 to both sides to get:

y ≥ 14

Therefore the answer is y ≥ 14.

does anyone know this answer?

Answers

the question says that the samples included 100 people each, so it's just 100 multiplied by the amount of samples:

7×100=700

Answer: It looks like the answer is 50. But i would go over it with a calculator.

Step-by-step explanation:

How many solutions are there to the equation below?
6x +33 = 6(x+6)

Answers

Answer:

no solution

Step-by-step explanation:

6x + 33 = 6x + 36

33 ≠ 36

Answer:

no solutions

Step-by-step explanation:

6x + 33 = 6(x + 6) ← distribute parenthesis

6x + 33 = 6x + 36 ( subtract 33 from both sides )

6x = 6x + 3 ( subtract 6x from both sides )

0 = 3 ← not possible

This indicates the equation has no solution

]

If the couple purchase the house and make all their payments, what is their total cost of the house?

$256,000
$443,504
$513,765
$328,650

Answers

Answer:

1,514,919

Step-by-step explanation:

I just used a calculator cuz in 6th you can use one but here's the answer

Answer:

If the couple purchases a house and they made all their payments, their total cost of the house would be $1,541,919.

Explanation:

$256,000
$443,504
$513,765
$328,650 +
------------------

$1,541,919

Please help with my math

Answers

[tex]7 \times {10}^{ - 3} [/tex]

Hopefully you got what I meant, this is easy.

What is the circumference of this circle, in millimeters? use startfraction 22 over 7 endfraction for pi. a circle with radius 49 millimeters. 154 308 484 968

Answers

The circumference of the circle with a radius of 49mm is 308mm

How to find the circumference of a circle?

The circumference of the circle is also known as its perimeter. The formula is expressed as:

C = 2pi r

r is the radius = 49mm

pi = 22/7

Substitute

C = 2 * 22/7 * 49
C = 2 * 22 * 7
C = 308mm

Hence the circumference of the circle with a radius of 49mm is 308mm

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Answer:

B

Step-by-step explanation:

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