Select the correct answer. which expression is equivalent to the given expression? assume the denominator does not equal zero. a. b. c. d.

Answer:

$73.5

Step-by-step explanation:

*1.05 interest every year

so all you have to do is 70*1.05=73.5

Answer: $73.5

Step-by-step explanation:

Answer:

  60 gallons

Step-by-step explanation:

The amount of 10% solution he should add can be found by writing an equation for the total amount of chocolate in the mix.

__

Let x represent the amount of 10% solution that Augustus needs to add to the 30 gallons of 25% solution. The amount of chocolate in the resulting 15% mix is ...

  0.10x +0.25(30) = 0.15(x +30) . . . . gallons of chocolate in the mix

  0.10(30) = 0.05x . . . . . . . . subtract 0.10x +0.15(30)

  60 = x . . . . . . . . . . . . divide by 0.05

Augustus should add 60 gallons of the 10% solution to make a 15% mixture.

Using Elimination Method:

[tex]2x + 9y = 11 \\ 3x + 8y = 18 \\ 3(2x + 9y = 11) =( 6x + 27y = 33 )\\ - 2(3x + 8y = 18) = ( - 6x- 16y = - 36) \\ 11y = - 3 \\ y = \frac{ - 3}{11} \\ 2x + 9( \frac{ - 3}{11} ) = 11 \\ 2x - 9( \frac{3}{11} ) = 11 \\ 2x - \frac{27}{11} = 11 \\ 2x = 11 + \frac{27}{11} \\ 2x = \frac{121 + 27}{11} \\ 2x = \frac{148}{11} \\ 2x \div 2 = \frac{148}{11} \div 2 \\ x = \frac{74}{11} \\ x = \frac{ - 3}{11} \\ y = \frac{74}{11} [/tex]

Answer:

x = -6

Step-by-step explanation:

Answer:

x=80

that is because a straight angle value is 180 and that angle is already 100 sooo i guess you get the point

Answer:

Angle<8 corresponds with angle<3

Step-by-step explanation:

Corresponding angles are congruent and are on the same side of the transversal. They occupy corresponding positions. So,

Angle 1 and Angle 6 are corresponding angles

Angle 3 and Angle 8 are corresponding angles

Angle 2 and Angle 5 are corresponding angles

Angle 4 and Angle 7 are corresponding angles

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{12\% of 59.7}}{\left( \cfrac{12}{100} \right)59.7}\implies 7.164[/tex]

Answer:

Y = 27

Step-by-step explanation:

In the equation (y = 12 + 5x) the X is the independent value. When you replace this by 3 you will multiply 3*5 which will give you 15 and then you will want to add 12 as that is your y intercept. Giving the value of your Y a 27, or the point would be (3,27)

Answer: 5

Step-by-step explanation: -2 * 5 = -10      6 * 5 = 30

Answer: [tex]The ~scale~ factor~ is~ 5[/tex]

Step-by-step explanation:

[tex]-2*5 ~is~=-10[/tex]

[tex]6*5=30[/tex]

[tex]We~use~the~distance~formula~to ~determine~the~distance~between ~two ~points.[/tex]

[tex]8\sqrt{10}[/tex]

The number that still remains under the radical when the expression is in its simplest form is 8.

A radical refers to a root  form. In this case, we can write this number as; 1,250^3/4.

If we try to simplify this in line with the laws of indicies, we have; 4√(1250)^3. If we simpify further, we obtain; (125)4√8.

Thus, the number that still remains under the radical when the expression is in its simplest form is 8.

Learn more about radical forms:https://brainly.com/question/3008670

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Answer:

the inequality, b ≤ 0 has interval Notation of -∞,0

Step-by-step explanation:

the inequality, b ≤ 0 has interval Notation of -∞,0

Answer:

2 and a half pizzas were eaten

Step-by-step explanation:

3 pizzas divided into 8 slices is equal to 24 slices.  So if 20 slices were eaten, we can do simple math to solve this

There are two ways to do this:

A. divide 20 by 8 to get 2.5

B. subtract a pizza (8 slices) from 20 to get 12. Subtract another pizza (8 more slices) to get 4. The 4 slices left are equal to another half pizza. So in total, there were 2.5 pizzas eaten

Answer:

28 grapes in total

Step-by-step explanation:

grapes are shared in the ratio 2 : 5 = 2x : 5x ( x is a multiplier )

Eva gets 12 more grapes than Dora , then

5x = 2x + 12 ( subtract 2x from both sides )

3x = 12 ( divide both sides by 3 )

x = 4

total grapes = 2x + 5x = 7x = 7 × 4 = 28

Eva gets 5x = 5 × 4 = 20

Dora gets 2x = 2 × 4 = 8

that is Eva gets 12 more than Dora

Answer:

50

Step-by-step explanation:

Each question is 6%/3 = 2% worth. If each question is worth 2% then total questions must be 50 (cuz that would be 2% x 50 (total question) = 100%).

The quotient of the given expression is x-2. The correct option is the second option-  x – 2

From the question, we are to determine the quotient

The given expression is

[tex]\frac{x^{3}+3x^{2} -4x-12 }{x^{2} +5x+6}[/tex]

The numerator can be expressed as

[tex](x-2)(x^{2} +5x+6)[/tex]

Then, the fraction becomes

[tex]\frac{x^{3}+3x^{2} -4x-12 }{x^{2} +5x+6}[/tex] = [tex]\frac{(x-2)(x^{2} +5x+6)}{x^{2} +5x+6}[/tex]

Simplifying

[tex]\frac{(x-2)(x^{2} +5x+6)}{x^{2} +5x+6} = x-2[/tex]

Hence, the quotient of the given expression is x-2. The correct option is the second option-  x – 2

Learn more on Simplification of fractions here: https://brainly.com/question/26496816

Here is the complete and correct question:

What is the quotient of (x cubed + 3 x squared minus 4 x minus 12') divided by (x squared + 5 x + 6)? x + 2 x – 2 x – 8 x + 8

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Answer:

the answer is RATIONAL

Step-by-step explanation:

why u ask

becasue the number is less than 1

please mark brainiest

Answer:

No, this isn't a right triangle.

Step-by-step explanation:

To check if the triangle is right we can use Pythagorean Theorem. If the equation turns out as true, the triangle is right.

Pythagorean Theorem

[tex]c^2 = a^2 + b^2[/tex]

c ... hypotenuse

a ... one leg

b ... another leg

The longest side in a right triangle is always hypotenuse, therefore we use the side which is 13 cm long as hypotenuse.

[tex]c^2 = a^2 + b^2\\13^2 = 4^2 + 12^2\\169 = 16 + 144\\169 = 160[/tex]

Number 169 isn't equal to 160 so the equation is false. That means that the triangle is not right.

Answer:

∠A≅∠Y          AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X          BC≅ZX

ΔABC≅ΔYXZ

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Answer:

Y = 32 + T

Step-by-step explanation:

Given:

- temperature Y, in degree Fahrenheit (°F)

- temperature T, in degree Celsius (°C)

- Y equal to 32 more than of the temperature T

Y = 32 (more means add) + temperature T

Explanation:

Volume of rectangular prism: Length * Width * Height

Solve:

1)

Volume: 9 * 9 * 9 = 9³ = 729 cm³

2)

Volume: 7 * 3 * 2 = 42 m³

3)

Volume: 7 * 7 * 7 = 7³ = 343 cm³

Answer:

9% sry if im wrong

Step-by-step explanation:

Kayla has some colored marbles that are the same size and shape. Use

the information below to determine which is closest to the probability

that Kayla will randomly select a marble that is not red, replace it, then

randomly select a marble that is yellow?

The probability of randomly selecting a red marble is 30%.

The probability of randomly selecting a yellow marble is 13%

Answer: H

Step-by-step explanation:

Answer:

I did the work and uploaded the picture i hope it helped!!

Answer:

See below ~

Step-by-step explanation:

Finding x-intercept

Finding y-intercept

Graph (with points marked)

Step-by-step explanation:

[tex]2x - 5y = 10 \\ 2x = 10 - 5y \\ x = \frac{10 - 5y}{2} [/tex]

when y=0,-2,2,-4,4

then x=5,10,0,15,-5,

Unit rate

Answer:

$0.08 per minute

Step-by-step explanation:

Unit rate :

Answer:

4:25

Step-by-step explanation:

Sphere surface area = 4 pi r^2  

   now change r to 2.5 r  ( to maintain the 2:5 ratio)

   area2 = 4 pi (2.5 r)^2 =     6.25    *    4 pi r^2

    so ratio of surface areas is  1 : 6.25   = 4:25

If two similar spheres have a scale factor of 2:5. Then the ratio of their surface areas will be 4 / 25.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Two similar spheres have a scale factor of 2:5.

Let the r₁ and r₂ be the radius of the spheres. Then we have

r₁ / r₂ = 2 / 5

Then the surface area of the sphere is given as

Surface area = 4πr²

Then the ratio of their surface areas will be

[tex]\rightarrow \dfrac{4\pi r_1^2 }{4\pi r_2^2} = \left (\dfrac{r_1}{r_2} \right )^2[/tex]

Then we have

→ (2 / 5)²

→ 4 / 25

More about the geometry link is given below.

https://brainly.com/question/7558603

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Answer:

  $1.30

Step-by-step explanation:

As with costs anywhere, you find the total cost by multiplying the unit cost by the number of units. Here, a unit is 1 ounce of tomato sauce. 3.5 units are used in the recipe. The unit cost is given as $0.37 per ounce.

__

  cost of sauce = (cost per ounce) × (number of ounces)

  = ($0.37) × 3.5 = $1.295

This rounds up to $1.30.

The sauce for one portion costs $1.30.

Answer:

d = 105° , e = 32° , f = 43°

Step-by-step explanation:

d and 105° are vertically opposite angles and are congruent , then

d = 105°

e and 32° are vertically opposite angles and are congruent , then

e = 32°

105° , e and f lie on a straight line and sum to 180° , that is

105° + e + f = 180°

105° + 32° + f = 180°

137° + f = 180° ( subtract 137° from both sides )

f = 43°

Answer:

d= 105° f= 43° e= 32°

Step-by-step explanation:

angle d = 105° ( vertically opposite angles are equal)

f°+d°+32°= 180 (angles on a straight line)

f+105+32= 180

f+137=180

f= 180-137= 43°

f= 43°

angle .d+f+e = 180° (angles on a straight line)

105+43+e = 180°

148+ e = 180°

e = 180-148

e = 32°

therefore,

d= 105° f= 43° e= 32°

Answer:

145 is the outlier

Step-by-step explanation:

When compared to the other values, 145 is an exceeding highly value. Hence, it can be considered an outlier in the data set.