4. Eva saves $60 each week. Since she needs to save at least $2,400 to go on a trip to Europe, she will need to
save for at least 40 weeks.

Answer:

26

Step-by-step explanation:

x = number of cars that an safety be on the bridge with the broken down tow truck.

The equation that can be used to determine the answer =

total weight the bridge can accommodate = total weight of truck + total weight of cars

total weight of cars = weight of a car x total number of cars

2800x

80,000 = 7000 + 2800x

collect like terms

80,000 - 7000 = 2800x

73,000 = 2800x

x = 73,000 / 2800

x = 26

Answer:85

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

surface area = area of all the sides (incl. bottom)

area of the bottom is 5x5 ft = 25 ft^2

area of one side is (6x5)/2 = 15 ft^2

there are four sides so the total surface area is 25+4(15)= 85ft^2

9514 1404 393

Answer:

  C

Step-by-step explanation:

Solve for y to find the inverse:

  x = f(y)

  x = y/3 -2

  x +2 = y/3

  y = 3(x +2)

  f⁻¹(x) = 3(x +2) . . . . the inverse function

Answer:

C.

Step-by-step explanation:

When you check the point that is on X, it is a little over halfway to the point 1,2. It would be like 1,1.5 or 1,1.6.

5/3 is the equivalent to 1.6 so that answer would make the most sense.

Answer:

5/3

Step-by-step explanation:

3 Apples cost $5, so each apple cost 5 divided 3 ( 5 over 3).

Answer:

Field

Field is eroding 4 times faster than the mountain.

Step-by-step explanation:

[tex]y[/tex] = The amount of erosion in millimeters

[tex]x[/tex] = Number of years passed

[tex]y=0.5x\\\Rightarrow \dfrac{y}{x}=0.5[/tex]

The rate at which soil is eroding in the mountain is 0.5 millimeters per year.

The rate at which the field is eroding is 2 millimeters per year.

The field is eroding faster than the mountain.

[tex]\dfrac{m_f}{m_m}=\dfrac{2}{0.5}\\\Rightarrow m_f=4m_m[/tex]

So the field is eroding 4 times faster than the mountain.

Answer:

-10 / -2/5

Step-by-step explanation:

-10 / -2/5 = 25

25 is greater than 10

Answer:40 miles per hour

Step-by-step explanation:

This is because, If 20 miles is 1/2 of his drive home then 40 miles should be the rest. Multiply 20 by 2 since it is 1/2

Answer:

6/4 or 1 1/2

Step-by-step explanation:

Because Sarah is using 1 cup of sugar or two 1/2s, she will have to multiply 3/4 by 2. 2 can also be shown as 2/1 if its easier for you.

to multiply fractions together, multiply the numerators together for your numerator and your denominators together for your denominator.

3/4 × 2/1 = 6/4

if you like, you can write 6/4 as a mixed fraction by saying 1 1/2

Answer:

6/4

Step-by-step explanation:

Answer:

x = 136°

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral are supplementary, that is

x + 44° = 180° (subtract 44° from both sides )

x = 136°

Answer: $5.52

Step-by-step explanation:

Given: Sam paid $8.28 for 18 stamps.

Thus, the cost of 18 stamps = $8.28

Then the cost of 1 stamp=

Thus, the cost of 1 stamp=$0.46

With the same rate , the cost of 12 stamps=

Therefore, the cost of 12 stamps= $5.52

hence, it costs $5.52 to Sam to buy 12 stamps.

8.28÷18 = 0.46

0.46 is the cost if 1 stamp

cost of 12 stamps= 0.46×12 = $5.52

happy to help :)

Answer:

12,750

Step-by-step explanation:

After investing for 10 years at 4.31% interest, your $8,361 investment will have grown to $12,750

Answer:

f(12) = 11

Step-by-step explanation:

To evaluate f(12) substitute x = 12 into f(x) , that is

f(12) = [tex]\frac{2}{3}[/tex] × 12 + 3 = 8 + 3 = 11

Step-by-step explanation:

by using Pythagoras law

ZY=√{45²-27²)=36

sin X=ZY/XY=36/45=0.8

Cos X=XZ/XY=27/45=0.6

Tan X= YZ/XZ=36/27=1.33

Answer:

Coordinates (1,6)

Equation x=1

Step-by-step explanation:

Center of highest point is 1 on the x and 6 on the y

Answer:

3.78

Step-by-step explanation:

Answer:

x = 10, TU = 24

Step-by-step explanation:

The midsegment TU is half the sum of the parallel bases, that is

[tex]\frac{1}{2}[/tex] (3x + 2+ 2x - 4 ) = 2x + 4 ( multiply both sides by 2 to clear the fraction )

5x - 2 = 4x + 8 ( subtract 4x from both sides )

x - 2 = 8 ( add 2 to both sides )

x = 10

Then

TU = 2x + 4 = 2(10) + 4 = 20 + 4 = 24

Answer:

-4/13

Step-by-step explanation:

(17 , -19)  ; (4 , -15)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          [tex]= \frac{-15-[-19]}{4-17}\\\\=\frac{-15+19}{4-17}\\\\=\frac{4}{-13}\\\\= \frac{-4}{13}[/tex]

Answer:

- 4 / 13

Step-by-step explanation:

Algebra work is easy :)

good luckkk

Answer:

Rise it to 2

( x ^2 ) ^2 − 9 ^2 = 0

Step-by-step explanation:

Answer:

90 hope this helps

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The first one is a binomial. It has two different terms on either side of the middle minus sign. y is raised to the 4 th power so that is degree 4. The answer is b

The second problem is ordered as 4 3 1 2

The powers determine the degree. The terms are all different and the number of terms is determined by the powers of the letters in the terms.

Answer:

Step-by-step explanation:

Answer:

6 feet . 3.9843 Inches 1 M =3.28 foot

Answer:

CA = 32

Step-by-step explanation:

By intersecting chords theorem:

[tex]12(4x + 1) = 14(3 + 3x) \\ \\ 48x + 12 = 42 + 42x \\ \\ 48x - 42x = 42 - 12 \\ \\ 6x = 30 \\ \\ x = \frac{30}{6} \\ \\ x = 5[/tex]

CA = 14 + ( 3 + 3x)

CA = 14 + ( 3 + 3*5)

CA = 14 + ( 3 + 15)

CA = 14 + 18

CA = 32

Answer:

Step-by-step explanation:

a + c = 1000

9a + 5c = 6680

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

9a + 9c = 9000

9a+ 5c = 6680

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

4c         = 2320

c           = 580

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

a+ 580 = 1000

a = 420

A = 420

C = 580

If you substitute the numbers into 9a + 5c = 6680, that should give you the right answer.

Answer:

-1.5+88.778112

Step-by-step explanation:

simplified then combined like terms finally got the answer

Answer:

D

Step-by-step explanation:

a(Dividend)/b(Divisor)

3428/2

1714 = 1700(rounded)

Answer:

Draw a horizontal line across a page of paper, somewhere in the middle. Mark a point A on the line, toward the left margin.

Spread open a compass to make good sized circle, but so that if the point of the compass is on the point you drew, the pencil fits on the page, both below the top edge and to the left of the right edge of the page. Draw the arc, from roughly the 12 O’Clock position over and down to the intersection of the line segment, at the 3 O’Clock position.

Call the opening of your compass, the radius of the arc you just drew, “5 units”.

Pick any point on the arc between the 12 and 3 positions, B. Drop a line down from that point B, perpendicular to the original horizontal line. Label the point that it intersects the horizontal line, C.

ABC is a right triangle with hypotenuse 5. Do this again with a point a little closer to the 3 O’Clock position. It’s another right triangle with hypotenuse 5.

Indeed, as you get closer to the right, along the arc, the height of the triangle declines, but the width of the triangle increases. The hypotenuse remains 5 in all cases. We picked points on the circle. We could have picked points on the horizontal line first, and raised perpendicular lines until they intersected the circle. Each point forms a distinct right triangle.

There are as many possible right triangles as there are possible points in a line segment.

Step-by-step explanation: