Use substitution to solve the system of equations​

Answer:

9 3/8

Step-by-step explanation:

You have to turn them both into mixed numbers so:

15/4 x 5/2

Then you just multiply across:

15 x 5/4 x 2

That should equal

75/8

Simplify! You should end up with 9 3/8

Answer:

1/(5^6)

Step-by-step explanation:

Which expression is equivalent to (3^2)^-2

Answer: OPTION D

Step-by-step explanation:

You can apply the SUBSTITUTION method:

- Solve for x from the second equation and substitute it into the first equation.

- Solve for y:

[tex]x-8y=-57\\x=-57+8y[/tex]

[tex]2(-57+8y)+3y=19\\-114+16y+3y=19\\19y=133\\y=7[/tex]

- Substitute y=7 into any of the original equations ans solve for x. Then:

[tex]x-8(7)=-57\\x-56=-57\\x=-57+56\\x=-1[/tex]

The answer is:

D.

[tex]x=-1\\y=7[/tex]

Substitution method for solving system of equations consists in isolate one variable in terms of the other variable.

So, isolating x in terms of y from the second equation, we have:

[tex]x-8y=-57\\x=-57+8y[/tex]

Then, substituting x into the first equation, we have:

[tex]2(-57+8y)+3y=19\\-114+16y+3y=19\\20y=19+114\\19y=133\\y=\frac{133}{19}=7[/tex]

Now, substituting y into the second equation we have:

[tex]x-8(7)=-57\\x-56=-57\\x=-57+56=-1[/tex]

Have a nice day!

the answer would be 860 ft²

Answer:

920 ft^2

Step-by-step explanation:

What is the surface area of the triangular prism shown?

Answer:

right angle triangle.

Step-by-step explanation:

I take it that these are angles and not sides.

x + x + 2x = 180                All triangles have 180 degrees. Combine the left.

4x = 180                            Divide by 4

4x/4 = 180/4                     Do the division

x = 45

Therefore the angles are

x = 45

x = 45

2x = 90

The triangle is a right triangle because it has 1 angle that is 90 degrees.

Final answer:

The ordered pair (10, -52) is not a solution to the equation y = -5x - 4 because when x is substituted with 10, the equation yields -54, not -52.

Explanation:

To determine which ordered pair is not a solution of the equation y = -5x - 4, you need to plug the x-value from each ordered pair into the equation and see if the y-value matches the result.

The ordered pair that is not a solution is thus (10, -52).

Answer:

A. 7 more than 2 times m

Step-by-step explanation:

If there's a variable (letter) right next to a coefficient (the number) like in this problem, that means that 2 is being multiplied by m.

Since there's a +7 in the problem, that means thats its being added to or "more than."

Multiplication is "times"

7 is not being multiplied by two or m, it's being added.

So, 2m + 7.

Hope this helps!!!

ANSWER

[tex]\frac{5 - x}{x + 2}[/tex]

EXPLANATION

We want to simplify the rational expression:

[tex]( \frac{1}{x - 4)} )( \frac{ - {x}^{2} + 9x - 20}{x + 2} )[/tex]

We split the middle term to obtain:

[tex]( \frac{1}{x - 4)} )( \frac{ - {x}^{2} + 5x + 4x- 20}{x + 2} )[/tex]

We now factor to obtain;

[tex]( \frac{1}{x - 4)} )( \frac{-x(x - 5) + 4(x - 5)}{x + 2} )[/tex]

[tex]( \frac{1}{x - 4)} )( \frac{(x - 5)(4 - x)}{x + 2} )[/tex]

Or

[tex]( \frac{1}{x - 4)} ) ( \frac{ - (x - 5)(x - 4)}{x + 2} )[/tex]

We cancel the common factors to get;

[tex]\frac{ - (x - 5)}{x + 2}[/tex]

[tex] = \frac{5 - x}{x + 2}[/tex]

its 8 inches, because 2 inches is to short, and a yard is too long for the width of a book

Answer:

8 inches

Step-by-step explanation:

2 feet is too long, 1 yard is way too long, and 2 inches is too short

Answer:

option b

137.1 cm²

Step-by-step explanation:

The given figure consist of two shapes

1) half circle

2) rectangle

Formula to use to calculate the area of this figure

half circle + rectangle

where r = radius = diameter/2 = 8/2 = 4 cm

          h = height = 14 cm

          b = base = 8 cm

plug in values in the formula

1/2(3.14)(4)² + (8)(14)

25. 133 + 112

137.13 cm²

chad has 280 baseballs because if miguel has 125 MORE than chad then you have to subtract 125 from 405 to get chads baseball cards

To find out how many baseball cards Chad has, subtract 125 from Miguel's total of 405 baseball cards.

To find out how many baseball cards Chad has, we can use the information given in the question. It is stated that Miguel has 125 more baseball cards than Chad and Miguel has a total of 405 baseball cards. So, to find out how many cards Chad has, we subtract 125 from Miguel's total:

Chad's total = Miguel's total - 125

Chad's total = 405 - 125 = 280 baseball cards

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Answer:

34°

Step-by-step explanation:

Let θ = the angle of elevation from the ground to the top of the tree. Then

tanθ = 100/150 = 0.6667

     θ = arctan0.6667

     θ = 34°

The sin's rays hit the ground at an angle of 34°.

Answer:

We are working with 2 vertical angles which are ALWAYS equal.

Therefore, 2 + 3x = 62

3x = 60

Therefore, x = 20

Step-by-step explanation:

Answer:

26 cuts

Step-by-step explanation:

1. convert 42 feet into inches by multiplying by 12 (12 inches=1 foot)

    42*12 = 504 inches

2. divide the total number of inches (504) by 20 (where Chad cuts)

    504/20 = 25.2

Since Chad cannot make a partial cut (.2) round up to the next whole number - 26

Answer:

Option D. [tex]x=82\°[/tex]

Step-by-step explanation:

Remember that

In a inscribed quadrilateral opposite angles are supplementary

so

In this problem

[tex]m<C+m<A=180\°[/tex]

we have

[tex]m<C=x\°[/tex]

[tex]m<A=98\°[/tex]

substitute the values and solve for x

[tex]x\°+98\°=180\°[/tex]

[tex]x=180\°-98\°=82\°[/tex]

Answer:

82

Step-by-step explanation:

a pex

Answer:

A, cus he has other markers in the box, we dont know how many, or how many blue markeys he has so it cant be A

Step-by-step explanation:

Answer:

The correct answer is:

(7s-2)+3+(s+3) = 52, or 8s+4 = 52.

Step-by-step explanation:

Since s is the son's age, "two less than seven times" the son's age would be represented by 7s-2. To represent this in 3 years, we would add 3: (7s-2)+3. In 3 years, the son's age, s, would be represented by s+3. We are told that the sum of these ages will be 52; this gives us (7s-2)+3+(s+3) = 52.

To simplify this, combine like terms. 7s+s = 8s; -2+3+3 = 4. This gives us 8s+4=52.

Answer:

The quotient of r and 9

Answer:

Step-by-step explanation:

The quotient of r divided by nine. The quotient is unspecified: you only know that there is one.

Answer:

Step-by-step explanation:

[tex]\dfrac{4\cdot10^5}{5\cdot10^2}=\dfrac{4}{5}\cdot\dfrac{10^5}{10^2}=0.8\cdot10^{5-2}=0.8\cdot10^3=0.8\cdot1,000=800\\\\\\\text{Used}\ \dfrac{a^m}{a^n}=a^{m-n}[/tex]

Note that result of this division is 4, as 28 divided by 7 equals 4.

The phrase "28 divided by 7" can be written as an expression using the division symbol (/) or the fraction bar (÷).

Using the division symbol  -

28 / 7

Using the fraction bar  -

28 ÷ 7

Both expressions represent the division operation where the number 28 is divided by the number 7.

The result of this division is 4, as 28 divided by 7 equals 4.

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Final answer:

The phrase '28 divided by 7' is written as the expression 28/7, which simplifies to the value 4.

Explanation:

The phrase '28 divided by 7' can be written as an arithmetic expression using the division symbol. The expression is 28 ÷ 7 or using the slash notation, it is 28/7.This is the most concise and universally understood way to express the division in mathematical terms.

When you perform this division, the result is 4, since 28 is evenly divisible by 7. When using a calculator to evaluate similar expressions, such as 337/217, you would get a decimal result.

However, for the phrase provided, no calculator is needed because the division is straightforward.

your answer is A 458.90.

The answer would be A)$458.90

Answer:

Step-by-step explanation:

[tex]\dfrac{x}{2}-7=15\qquad\text{add 7 to both sides}\\\\\dfrac{x}{2}-7+7=15+7\\\\\dfrac{x}{2}=22\qquad\text{multiply both sides by 2}\\\\x=44[/tex]

Step-by-step explanation:

Change the mixed fraction into improper fraction:

2 1/4 = 2 (1/4)(25/25) = 2 25/100 = 2.25

Divide 4 with 2.25

2.25/4 = 0.5625

0.5625 or a little over 1/2 cup of raisins are in each serving.

~

Answer:

6x^4y^4

Step-by-step explanation:

(3xy^3)(2x^3y)

= (3*2) x^(1+3) y^(3+1)

= 6x^4y^4

Answer:

C.

Step-by-step explanation:

The first two questions couldn't be correct. C. Is the only logical answer.

First of all, we can find the angle B by using the fact that the interior angles of a triangle sum up to 180:

[tex]32.5+26.8+B=180 \iff B = 180-32.5-26.8=120.7

[/tex]

Now use the law of sines, which states that the ratio between a side and the sine of its opposite angle is constant. In particular, we have

[tex]\dfrac{\overwrite{BC}}{\sin(A)}=\dfrac{b}{\sin(B)}[/tex]

Plug in the known values and solve for b:

[tex]\dfrac{25}{\sin(32.5)}=\dfrac{b}{\sin(120.7)}\iff b=\dfrac{25\sin(120.7)}{\sin(32.5)}=40.01[/tex]

Answer:

D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = - 6 and (a, b) = (- 9, - 3), thus

y - (- 3) = - 6(x - (- 9)), that is

y + 3 = - 6(x + 9)

This trigonometric function can be written as:

[tex]tan (3 cos^{-1} (\frac{3}{4}))[/tex]   (1)

Firstly, we have to solve the inner parenthesis:

[tex]cos^{-1} (\frac{3}{4})= 41.409[/tex]   (2)

Substituting (2) in (1):

[tex]tan (3(41.409))=tan(124.228)[/tex]   (4)

Finally we obtain the value:

[tex]tan(124.228)=-1.469[/tex]  

Answer:

[tex]tan(3 \times arc \ cos(\frac{3}{4} ))=\frac{\sqrt{7} }{3}[/tex]

Step-by-step explanation:

The given expression is

[tex]tan(3 \times arc \ cos(\frac{3}{4} ))[/tex]

Where

[tex]cos^{-1}(\frac{3}{4} )=x\\[/tex], which means that, [tex]cosx=\frac{3}{4}[/tex]

If we analyse this trigonometric reason in a right triangle, we would find the hypothenuses is 4 and the adjacent leg is 3. Then, using pythagorean theorem, we find the other leg

[tex]y^{2}=4^{2} -3^{2}\\ y=\sqrt{16-9}=\sqrt{7}[/tex]

Which means the opposite leg of our right triangle is the square root of seven.

Finally, using such right triangle, we find the tangent reason, which is the quotient between the opposite leg and the adjacent leg

[tex]tan(radian \ value)=\frac{\sqrt{7} }{3}[/tex]

Therefore, the answer is [tex]\frac{\sqrt{7} }{3}[/tex]

Answer:

C

Step-by-step explanation:

Since the figures are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{3}{15}[/tex] = [tex]\frac{1}{x}[/tex] ( cross- multiply )

3x = 15 ( divide both sides by 3 )

x = 5 → C