7+
3 points
Which expression is equivalent to -15x + 39?
A
-3 (5x – 13)
B
-3 (5x + 13)
C
3 (5x – 13)
D
3(5x + 13)

Answer:

if these expression represent side lengths, then you simply add those three expressions, and that's the perimeter.

Step-by-step explanation:

I explore this idea a bit. obviously x < 5 (because 5-x has to be positive.

2x-5 > 0 is a requirement, also, so x > 2.5 is required.

Answer:

[tex]y = 4.2x[/tex] is a linear equation.

Step-by-step explanation:

The slope-intercept form of the line or linear equation is of the form

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

where

[tex]m[/tex] represents the slope

represents is the y-intercept

In our case, the given equation is

[tex]y = 4.2x[/tex]

comparing with the slope-intercept form of the line or linear equation

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

Thus,

As the equation [tex]y = 4.2x[/tex] resembles the linear equation [tex]y = mx+b[/tex] of the line.

Hence, [tex]y = 4.2x[/tex] is a linear equation.

Please also check the attached graph of the linear equation  [tex]y = 4.2x[/tex] .

Important Tips:

∴ [tex]y = 4.2x[/tex] is a linear equation.

Answer:

Your Answer will be 129, not a fraction. It will be a whole number

Step-by-step explanation:

43 x 6 = 258

258 / 2 = 129

answer : here cp is greater than sp so it is loss

loss=cp-sp

=Rs 1250-Rs 1000

=Rs250

Answer:

12 quarters and no dimes

Answer:

(6,6)

(8,10)

(12,0)

Answer:  So the ratio is gonna be 5:3...

Step-by-step explanation:

Answer:

Trapezoid = 24 grams

Step-by-step explanation:

Trapezoid = 3 triangles

x = 3 · 8

x = 24

Answer:

The answer is

a=4

b=-1

Step-by-step explanation:

[tex]2a + 3(a - 5) = 5 \\ 5a - 15 = 5 \\ a = 4 \\ b = - 1[/tex]

Answer:

the answer is 6.75

Step-by-step explanation:

12 x 5 = 60 60 = 1 hour so 1.35 x 5 = 6.75

The running speed is 8.1 miles/ second.

Speed is the rate at which something is covering a distance in a fixed period of time.

It is measured in miles/ min or miles/sec.

It is given that

Speed = 1.35 miles per minute

1 minute = (1/60) hour

Therefore the speed = 1.35 *60

Speed = 8.1 miles/second

Therefore the speed is 8.1 miles/ second.

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Answer:

[tex]\boxed{\color{blue}\textsf{The percentage increase in price is \textbf{512.22\% }}}[/tex]

Step-by-step explanation:

Here the earlier price of the video game was $ 49 and now it's being sold for $ 300 . We need to calculate the percentage increase in price .

So the increase in cost is $( 300 - 49 ) = $ 251 .

So we can calculate the % increase as ,

[tex]\qquad\boxed{\boxed{\sf\% Increase = \dfrac{ Increase\ in \ price }{Original\ price } \times 100 }}[/tex]

Substituting the respective values :-

[tex]\sf\implies \% Increase = \dfrac{ Increase\ in \ price }{Original\ price } \times 100 \\\\\sf\implies \% Increase =\dfrac{\$ 251}{\$ 49 }\times 100 \\\\\sf\implies \% Increase = 5.122 \times 100 \\\\\implies \boxed{\pink{\frak{ \% Increase = 512.24 \% }}}[/tex]

Answer:

NR = 12

Step-by-step explanation:

Given that both trjangles are similar, therefore, it follows that their corresponding side lengths would be proportional to each other. Thus:

[tex] \frac{40}{8} = \frac{60}{2x - 2} [/tex]

[tex] 5 = \frac{60}{2x - 2} [/tex]

Cross multiply

[tex] 5(2x - 2) = 60 [/tex]

[tex] 10x - 10 = 60 [/tex]

[tex] 10x = 60 + 10 [/tex] (addition property of equality)

[tex] 10x = 70 [/tex]

Divide both sides by 10

x = 7

✔️NR = 2x - 2

Plug in the value of x

NR = 2(7) - 2 = 14 - 2

NR = 12

I take it as you want to learn about the formula.

The quadratic formula is a formula where you can solve x for any quadratic equation in form  ax^2+bx+c=0.

The formula is x= [tex]\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex].

The +- means + or - for the 2 solution in each equation.

*All above information is what you need to know about the quadratic formula and solve for answer, but I will go a step further in my answer to prove the quadratic formula always work.

[tex]0=ax^2+bx+c[/tex]

[tex]0=(ax+\frac{b}{2})^2-\frac{b^2}{4}+c[/tex] (This step is completing the square)

[tex](ax+\frac{b}{2})^2=\frac{b^2}{4}-c[/tex]

[tex](2ax+b)^2=b^2-4ac[/tex]

[tex]2ax+b=+or-\sqrt{b^2-4ac}[/tex]

[tex]2ax=-b+ or -\sqrt{b^2-4ac}[/tex]

[tex]x=\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]

This is my way of proving this formula although there are many other ways to do it too, if there is any questions, feel free to ask me in the comment :-).

Step-by-step explanation:

3n -2 =37

3n = 39

n = 13

hope this helps

Answer:

$0.98

Step-by-step explanation:

Given data

Cost of sinuses apples = $9.8 for 10 pound

We want to find the cost per pound

Hence

if 10 pounds cost $9.8

  1 pound will cost x

cross multiply

x= 9.8/10

x= $0.98

Hence a pound will cost $0.98

Answer:

Each red block has an area of     1/18     square unit.

2/3 * 5/6  = 2/3 * 5/6 = 10/18

Step-by-step explanation:

The area of each red rectangle block is 1/12 sq units.

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees. Hence, it is also called an equiangular quadrilateral. Since, the opposite sides are equal and parallel, in rectangle, therefore, it can also be termed as a parallelogram.

Given that, there is rectangular box, in which there are 24 blocks,

The area of the rectangular box is 2 sq units,

We need to find the area of each block,

We can say,

24 blocks = 2 sq units

1 block = 2/24 = 1/12 units

Since, all the blocks inside the box are identical, therefore, each red block will also have area = 1/12 units

Hence, the area of each red rectangle block is 1/12 sq units.

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Answer:

C but see the discussion below.

Step-by-step explanation:

Remark

You are given 2 items and ask for a third. That is a classic trig question.

Givens

angle = 27

opposite side = 18

hypotenuse = ?

Solution

Sin(27) = opposite side / hypotenuse

Sin(27) = 18 / hypotenuse                         Multiply by the hypotenuse

hypotenuse * sin(27) = 18                         Divide by sin(27)

hypotenuse = 18 / sin(27)

hypotenuse = 18 / 0.45699

hypotenuse = 39.6484

Comment

This is a very difficult question to pick an answer for. Everything depends on what you have been told about 5 when rounding. I always use a very simple method. It the rounded number is a 5 then you bounce the answer up. Otherwise leave it alone.

I think the correct answer (according to my rule) is that the answer is C, but your teacher could actually use a rule which would round it up to 39.7. I'm going to answer C but if you get it wrong, then D is the answer.

Answer: 85.8g

Step-by-step explanation:

From the question, we are informed that 46.8g of sugar is needed to make 6 cakes. Therefore, the amount of sugar needed to make 1 cake will be:

= 46.8/6

= 7.8kg

Then, the amount of sugar needed to make 11 cakes will be:

= 7.8 × 11

= 85.8g

Answer:

z = 55.15432893

x = 59.61543424

y = 22.5166605

Step-by-step explanation:

To find length "z" you will have to use SOHCAHTOA.

Labelling the triangle will show us that the side marked "z" is the hyp and the side marked 39 is the opp.

sin 45 = [tex]\frac{39}{z}[/tex]

z sin 45 = 39

         z  = [tex]\frac{39}{sin45}[/tex]

         z = 55.15432893

Using Pythagoras' theorem, you can find that the adj = 39

In the other triangles POV, the adj is actually the opp.

Therefore, use tangent to find y.

tan 60 = [tex]\frac{39}{adj}[/tex]

y tan 60 = 39

           y = [tex]\frac{39}{tan60}[/tex]

           y = 22.5166605

Use Pythagoras's Theorem to find x.

[tex]23^{2} + 55^{2} = x^{2}\\\sqrt{23^{2} + 55^{2}} = x\\59.61543424=x[/tex]

Answer:

C. 39.6

good luck, i hope this helps :)

Answer:

C is the correct answer

Answer:

6

Step-by-step explanation:

At the end of the 2 week, both Mary and Ardella has an equal amount of saving i.e. $140.

Mary and Ardella are saving money for a trip. Mary started her savings with $20 and is now saving $12 each week. Ardella started her savings with $40 and is now saving $10 each week. After how many weeks will Mary and Ardella have saved the same amount of money To determine,

In mathematics, it deals with numbers of operations according to the statements.

Let the number of weeks is x and total saving is y.
Now equation for Mary started her savings with $20 and is now saving $12 each week.
y = 12x +20 - - - (1)

The equation for Ardella, started her savings with $40 and is now saving $10 each week.
y = 10x + 40   - - - - (2)

Equating equation 1 and 2
12x +20 = 10x +40
12x -10x = 40 -20
2x = 20
x = 20/2
x = 10

Now put this x in equation 1
y = 12 * 10 + 20
y = 140

Thus, at the end of the 2 week both Mary and Ardella has an equal amount of saving i.e. $140.

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Answer:

Step-by-step explanation:

3x²y³·x⁴y = 3x²x⁴y³y = 3x²⁺⁴y³⁺¹ = 3x⁶y⁴

Answer:

last one I think djssns word words

Answer: To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself. The inverse operations are: Addition and subtraction.

hope this helps

Answer: y = 11.25

Step-by-step explanation:

Mi espanol es terrible :l

Todos los angulos terminaran acompletando 90° grados

Entonces hagamos una ecuacion

3y + 4y + y = 90

8y = 90

Divide por 8

y = 11.25

Esta parte no es necesaria

Para ver si es verdad hagamos el math

3(11.25) = 33.75

4(11.25) = 45

y = 11.25

33.75 + 45 + 11.25 = 90

Answer:

[tex]x = 27[/tex]

Step-by-step explanation:

A shape exterior angles add up to 360.

All of these angles are exterior angles so we can add up all of them to and set it equal to 360 to find x.

[tex]3x + 4x + 2x + 40 + x + 50[/tex]

[tex]10x + 90 = 360[/tex]

[tex]10x = 270[/tex]

[tex]x = 27[/tex]

Answer:

x- axis, I'm pretty sure

Step-by-step explanation:

Answer: The x axes

Step-by-step explanation:

Answer: P = 2716.3448786 or about 2700

Step-by-step explanation:

The amount that need to invest, to the nearest hundred dollar is to be considered as the 2,700.

Since

The interest rate be like = 1.5% = 1.5% / 4 = 0.38%

The time period = 13 * 4 = 52

The future value = $3,300

The PMT is = $0

Now the following formula is used;

So,

= -PV(RATE,NPER,PMT,FV,TYPE)

After applying it, the present value should be $2,700

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