7. 70% of what number is 112

Answer:

y = 28x

Step-by-step explanation:

if you work backwards you need to find miles per gallon which is 140/5 which is 28. x is gallons of gas used so if you multiply x by 28 will be y, the amount of miles driven.

Answer: 7:1

Step-by-step explanation:

First off, we see that the contribution was divided into 16 parts (8+5+3). If the tree was $96, 96/16 = $6, so each individual part was $6.

First Person: 3(6) = $18

Second Person: 5(6) = $30

Third Person: 8(6) = $48

We know that after the two friends return the money, the $96 will have been split evenly between all three of them.

96/3 = 32 - each person pays $32 total

Because each person has to pay $32 total, the first person must return $14 and the second person must return $2. This means that the ratio is 14:2 which can be reduced to 7:1.

Person 1: 32-18 = 14

Person 2: 32-30 = 2

Person 3: 48-14-2 = 32. - check to see if we were correct, which we are because after two friends pay 3rd back, their total is also 32 dollars.

Answer:

Width = 66 inches

Step-by-step explanation:

Zelda has 300 inch roll of binding for a quilt.

The length must be 84 inches

We need to find its width. Let it is b.

Let us assume that the quilt is in the shape of rectangle. The perimeter of the rectangle is given by :

P = 2(l+b)

300 = 2(84+b)

150 = 84+b

b = 150-84

b = 66 inches

So, the required width is 66 inches.

Answer:

Option D.

[tex]\mathbf{\sqrt{3}} +1}[/tex]

Step-by-step explanation:

The given integral is:

[tex]\int^d_c \int ^{h_2(y)}_{h_1(y)} f(x,y)\ dx \ dy[/tex]

The intersection curves enclosed by the surfaces:

z = 2 - x² - y² and z = 2x + 2y

This implies that:

[tex]2x +2y = 2 - x^2- y^2[/tex]

[tex](x^2 + 2x) +(y^2 + 2y) = 2 \\ \\ (x+1)^2 + (y + 1)^2 = 4 --- (1)[/tex]

We will realize that the curve of this intersection is a circle which is centered at (-1, -1) of the radius 2.

So, from equation (1)

[tex](x + 1)^2 = 4 - (y + 1)^2[/tex]

x + 1 = ±[tex]\sqrt{4 - (y + 1)^2}[/tex]

[tex]x = -1 \pm \sqrt{4 - (y+1)^2}[/tex]

Now,

[tex]h_2 (y) = -1 + \sqrt{4 - (y +1)^2}[/tex] and [tex]h_1 (y) = -1 - \sqrt{4 - (y +1)^2}[/tex]

[tex]h_2(0) = -1 + \sqrt{4-1}[/tex]

[tex]h_2(0) = -1 + \sqrt{3}[/tex],  and:

[tex]At \ \ (-1, -1); \\ \\ z = 2 - (-1)^2 - (-1)^2 \\ \\ z = 2 - 1 - 1 \\ \\ z = 0[/tex]

and

[tex]z = 2x + 2y \\ \\ z = 2(-1) + 2 (-1) \\ \\ z = -2 + (-2) \\ \\ z = -4[/tex]

The surface z = 2-x²-y² lies above z = 2x + 2y in the region of intersection

∴

[tex]f(x,y) = (2 - x^2 - y^2) - (2x + 2y) \\ \\ f(0,0) = 2 - 0 \\ \\ f(0,0) = 2[/tex]

So, h₂ (0) + f(0,0) = [tex]\sqrt{3}} - 1 + 2[/tex]

h₂ (0) + f(0,0) = [tex]\mathbf{\sqrt{3}} +1}[/tex]

Answer:

Alternate interior angles

Step-by-step explanation:

Answer:

0.09?

Step-by-step explanation:

0.009 x 10 is 0.09

Answer:

multiply 0.09 by 10 and that'd equal 0.09. A number 10 times greater then 0.009 is 0.09.

Step-by-step explanation:

Answer:

C. 29

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

1/4(d - 2) = 6

Step 2: Solve for d

Step 3: Find

Given that,

The expression is [tex](a^5)^2[/tex].

To find,

Rewrite the expression in the form of [tex]a^n[/tex].

Solution,

We have, [tex](a^5)^2[/tex].

We can use the property of exponent as follows :

[tex](a^m)^n=a^{mn}[/tex]

Here, m = 5 and n = 2

[tex](a^5)^2=a^{5\times 2}\\\\=a^{10}[/tex]

Hence, the final answer is [tex]a^{10}[/tex] where n = 10.

Answer:

22

Step-by-step explanation:

12+(8/(2/3)-2

22

Answer:

22

Step-by-step explanation:

First divide 8 by 2/3 ( since it’s in parentheses) and that gives you 12. Then add 12 + the 12 that was in parentheses. That leaves you with 24-2 which equals 22.

Answer:

i was about to answer but i forgot sorry

Step-by-step explanation:

Answer:

A=33.33

Step-by-step explanation:

Answer: Part A) 25%

Part B) 75%

Step-by-step explanation: Hope this helps.

Answer:

x ≈ 8.6 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Trigonometry

Step-by-step explanation:

Step 1: Identify

Angle θ = 35°

Opposite Leg = x

Hypotenuse = 15

Step 2: Solve for x

Answer:

Since sine of all angles are always less than one, this shows there is no possible way to have an angle C. Thus it is impossible to have a triangle ABC with the given properties of side lengths b=3 inches and c= 5 inches to have angle B =45 degrees.

Step-by-step explanation:

In the attached  drawing, each of the tic-marks are equal and

represent 1 inch each.  The angle B has measure 45.  We can

see by the arc that the line AC, which equals 3 inches, is

not long enough to reach the slanted side of the 45 angle.

Therefore triangle ABC is not possible.  We can also show

by the law of sines that no triangle ABC with the given

properties in possible.

Answer:

Equation 1: 14t + 61s = 150

Equation 2: 14t + 25s = 78

Use Elimination (x)

(-1) (14t + 25s) = (78) (-1)

-14t - 25s = -78

14t + 61s = 150

+ -14t - 25s = -78

--------------------------

36s = 72

s = 2

Salad costs $2

Then find t

14t + 61(2) = 150

14t + 122 = 150

14t = 28

t = 2

Sandwich costs $2

Two sides of the triangle are the same length, so the two angles of the long side are identical.

The three inside angles total 180, so the sum of the 2 identical angles would equal: 180-70 = 110

x is one of those angles. X = 110/2 = 55 degrees.

X = 55

Answer:

honestly if u ask me ima have to say she lost some money cause

Step-by-step explanation:

she got it for 25 right then she got an exstra 5 dollars cause she sold it

for 30 then she got the same pen for 35 when she got it for 25 the first time  so 25-35 = 10 meaning she lost 10 dollars and got 10 dollars back because if u add the 5 dollars from the 30 then from the 40 u get ten meaning

she just got her money right back

Answer:

Your answer is 0.25

Step-by-step explanation:

Dont give me the brainiest give the other person the brainiest

Answer:

C. Either- The hats have equal volumes

9514 1404 393

Answer:

  500 ft or 166 2/3 yards

Step-by-step explanation:

The tie wire is (100)/(100 +500) = 1/6 of the total length of wire used. If 1000 yards of wire is used, 1/6 of that amount can be expected to be tie wire. That is ...

  (1000 yd)/6 = 166 2/3 yd = 500 ft

If you put $500 in a bank with a 6% investment rate (which is rather high honestly) then next year you would have $530 in the bank, then 561.80 and so on. I feel like I misunderstood the question, but hopefully this helps, if at all.

May I have brainliest please? :)

Answer:

2/7

Step-by-step explanation:

Answer:

2/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

It can be determined that the function is:

So missing x is:

Missing y is:

Missing numbers are:

Correct choice is d.

                                           FIRST METHOD

Answer:

Step-by-step explanation:

Given the table

x                                         y

7                                        16

9                                        17

Missing x                          18

13                                        Missing y

From the table, it is clear that y-values are incremented by 1 unit and the x-values are incremented by 2 units.

i.e.

y = 17-16 = 1

y = 18-17 = 1

as 19-18 = 1

Thus,

Thus, the value of Missing y = 19

also the x-values increment by 2.

i.e.

x  = 9-7 = 2

as x = 11 - 9 = 2

Thus, Missing x = 11

Therefore,

                                                2ND METHOD

Given that the table represents a  linear function, so the function is a straight line.

Taking two points

Finding the slope between (7, 16) and (9, 17)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(7,\:16\right),\:\left(x_2,\:y_2\right)=\left(9,\:17\right)[/tex]

[tex]m=\frac{17-16}{9-7}[/tex]

[tex]m=\frac{1}{2}[/tex]

Using the point-slope form to determine the linear equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 1/2 and the point (7, 16)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-16=\frac{1}{2}\left(x-7\right)[/tex]

Add 16 to both sides

[tex]y-16+16=\frac{1}{2}\left(x-7\right)+16[/tex]

[tex]y=\frac{1}{2}x+\frac{25}{2}[/tex]

Thus, the equation of the linear equation is:

[tex]y=\frac{1}{2}x+\frac{25}{2}[/tex]

Now substituting y = 18 in the equation

[tex]18=\frac{1}{2}x+\frac{25}{2}[/tex]

Switch sides

[tex]\frac{1}{2}x+\frac{25}{2}=18[/tex]

subtract 25/2 from both sides

[tex]\frac{1}{2}x+\frac{25}{2}-\frac{25}{2}=18-\frac{25}{2}[/tex]

[tex]\frac{1}{2}x=\frac{11}{2}[/tex]

[tex]x=11[/tex]

Thus, the value of missing x = 11 when y = 18

Now substituting x = 13 in the equation

[tex]y=\frac{1}{2}\left(13\right)+\frac{25}{2}[/tex]

[tex]y=\frac{13}{2}+\frac{25}{2}[/tex]

[tex]y=\frac{13+25}{2}[/tex]

[tex]y=\frac{38}{2}[/tex]

[tex]y = 19[/tex]

Thus, the value of missing y = 19 when x = 13

Hence, we conclude that:

Hence, option D is true.

Answer:

3/5 cup of water = 3/4 of container

1 cup of water = 3/4 * 5/3 of container

= 5/4 of container

Answer:

Step-by-step explanation:

ok so first you have to make equalt denominaters

3/5 = 12/20

3/4 = 15/20

so you can fill one and 3/20 with one full glass of water.

The simplified form of the given expression is 8x+7

From the question, we are to write the simplified form of the given expression

The given expression is

3x+4+5x+3​

3x+5x+4+3

8x+7

Hence, the simplified form of the expression is 8x+7

Learn more on Simplifying an expression here: https://brainly.com/question/723406

SPJ2

Rotational symmetry, also known as radial symmetry, is the quality that a form exhibits when it looks the same after a partial turn rotation. The correct option is D.

What is Rotational Symmetry?

Rotational symmetry, also known as radial symmetry, is the quality that a form exhibits when it looks the same after a partial turn rotation. The degree of rotational symmetry of an item is the number of possible orientations in which it appears precisely the same for each revolution.

Since for the rotational symmetry, the figure should look the same even if the figure is rotated. Thus, the figure that has a rotational symmetry is a rhombus. Hence, the correct option is D.

Learn more about Rotational Symmetry:

https://brainly.com/question/1531736

#SPJ2

Answer:

Neither.

Step-by-step explanation:

First we alter the first equation to match the second.

x - 2y = 4

2y = x - 4

y = x/2 - 2.

Next we compare the slopes

2x = 2

x/2 = 1/2

Their slopes are reciprocals, but they aren't opposites. Therefore they are neither parallel nor perpendicular.

Answer:

b)

The  equation of the line that passes through a pair of points

   [tex]y = \frac{-1}{8} ( x ) -\frac{11}{8}[/tex]

Step-by-step explanation:

 Explanation:-

Given points are ( 5 ,-2) and ( 3,-1)

slope of the line

                        [tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{-1-(-2)}{-3-(5)} = \frac{1}{-8}[/tex]

The  equation of the line that passes through a pair of points

              [tex]y - y_{1} = m ( x - x_{1} )[/tex]

           [tex]y - (-2) = \frac{-1}{8} ( x - (5) )[/tex]

          [tex]y = \frac{-1}{8} ( x ) +\frac{5}{8} -2[/tex]

        [tex]y = \frac{-1}{8} ( x ) +\frac{5-16}{8}[/tex]

      [tex]y = \frac{-1}{8} ( x ) -\frac{11}{8}[/tex]

Answer:

A CD, or certificate of deposit, is a type of savings account with a fixed interest rate that's usually higher than a regular savings account, a fixed term length and a fixed date of withdrawal, known as the maturity date. You lock up funds in a CD for a term generally between three months and five years.

Step-by-step explanation:

Step-by-step explanation:

9c⁴ * 9c⁸

= 9 * 9 * c⁴ * c⁸

= (81)(c¹²)

= 81c¹²

Note: a^m * a^n = a^(m+n) by Law of Indices.