. Shawn gets an allowance of $18 each week and his sister Natasha gets an allowance of $9 each week. Shawn saves 1/2 of his allowance, and Natasha saves 2/3 of her allowance. Suppose Shawn started with $0 savings, and Natasha started with $30. How many weeks will it take until they have the same amount in savings?

9514 1404 393

Answer:

Step-by-step explanation:

A triangular prism will have exactly 2 triangular sides (bases).

A triangular pyramid will have at least 3 triangular faces.

Count the triangles and classify accordingly.

Left to right, the number of triangles is ...

  4, 2, 2, 4, 2

The figures with 4 triangles are pyramids; the others are triangular prisms.

Answer:

its $110 as 10 percent of 100 is 10

Answer:

B, C, and E

Step-by-step explanation:

A. 42/6 = 7     Not correct

B. 42/7 = 6     Correct

C. 108/18 = 6  Correct

D. 40/5 = 8     Not correct

E. 96/16 = 6     Correct

Answer:

1. Shade 7 boxes in.

If 100% is 400 each 10% segment would be 40 and in order to get 70% (or 280) we shade in 7 boxes.

2. The football team scored 280 points. We get this number by multiplying .70 by 400

3. Marcy would spend more money.

To do this problem we multiply the percent by how much they have to get how much they spend.

Stephenson: 12% of 200$

.12 x 200 = 24$

Marcy: 8% of 350$

.08 x 350 = 28$

Answer: Option A

Step-by-step explanation:

To get from A to A', what is done?

A is at the point (2,6) and A' is at the point (2,-1)

The x value of the two points stayed constant (didn't change) meaning that options C and D are invalid (because those two are transformations to the x-value)

Now let us take a look at options A and B which both concern the y value

The y-value of A is 6 and A' is -1

To get from 6 to -1, do you

a) subtract 7

or b) = multiply by -1

Let us test it out:

a) 6 - 7 = -1 (yes, it equals -1)

b) 6 * -1 = -6 (no, it does not equal the intended value of -1)

Thus correct choice is A, we subtract 7

Answer:

1.3

Step-by-step explanation:

B: (4,1)

A: (-8, 1.3)

pythagorean theorem:

a leg: .3

b leg: 13

c: 13

Answer:

a + 2b

Step-by-step explanation:

Given the expression

2(a+2b) - a-2b

Open the bracket

2a+(2)2b- a-2b

2a+4b - a-2b

Collect the like terms

2a-a+4b-2b

a + 2b

Hence the equivalent expression is a + 2b

Answer:

d

Step-by-step explanation:

Answer: what question?

Answer: pi/2

Step-by-step explanation:

Answer:

2:6

Step-by-step explanation:

ℎ ℎ ℎ ℎ ℎ 2

6

Answer:

C 16

Step-by-step explanation:

Using ratios

3:12

12/3=4

4:x

4*4=16

x=16

4:16

hope this helps:)

Answer:

1430

Step-by-step explanation:

S=450+70T

S= 450 + 70(14)

S=450+980

S=1430

Answer:

John was 17 miles away from where he started.

Step-by-step explanation:

The easiest approach to this problem is to draw it out (check the attached image). Going East and turning South is the same as drawing a line towards the right, and then down on the paper.

Using the Pythagorean Theorem, we know that the sum of the square of the legs (2 smallest sides of a right triangle) is equal to the square of the hypotenuse of that triangle. In other words, [tex]a^2 + b^2 = c^2[/tex].

So to solve this, work backwards:

[tex]8^{2}+15^{2} =c^{2}\\64 + 225 = c^{2}\\289 = c^{2}\\c = \sqrt{289}\\ c = 17[/tex]

The distance between the initial and final point will be 17 miles.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

This can be expressed as

H² = P² + B²

John drove his car due east for 8 miles.

He then turned south and drove 15 miles.

Then the distance between the initial and final point will be

H² = 8² + 15²

H² = 64 + 225

H² = 289

H = 17 miles

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

Answer:

-5 and 9

Step-by-step explanation:

Graph the equation on a graph.

You can also simplify the equation into y=mx+b form and then graph:

y=-3(x+5)(x-9)

y=(-3x-15)(x-9)

y=-3x^2+27x-15x+135

y=-3x^2+12x+135

Answer:

[tex]3x - 3 \leqslant 2 \times (x + 1) + x \geqslant 0 = [/tex]

Step-by-step explanation:

[tex]3x - 3 \leqslant (2 \times x) - (2 \times 1) + x \geqslant 0[/tex]

Answer:

A) P = DA/V

Step-by-step explanation:

D = PV/A

DA = PV

DA/V = P

Answer:

[tex]3\frac{11}{12}[/tex] cups

Step-by-step explanation:

[tex]2\frac{1}{2} = \frac{5}{2}[/tex] of pears

[tex]\frac{2}{3}[/tex] of grapes

[tex]\frac{1}{4}[/tex] of apples

[tex]\frac{1}{2}[/tex] of orange

when adding fractions, make sure all denominators are the same:

[tex]\frac{5}{2} = \frac{30}{12}[/tex] of pears

[tex]\frac{2}{3} = \frac{8}{12}[/tex] of grapes

[tex]\frac{1}{4} = \frac{3}{12}[/tex] of apples

[tex]\frac{1}{2} = \frac{6}{12}[/tex] of orange

add all of the fractions:

[tex]\frac{30}{12} + \frac{8}{12} + \frac{3}{12} + \frac{6}{12} = \frac{47}{12}[/tex]

convert to mixed fraction:

[tex]\frac{47}{12} = 3\frac{11}{12}[/tex]

Look at the other guys

Answer:

a. Rectangle

Step-by-step explanation:

The given figure is a rectangle prism. If one takes the cross-section of a rectangular prism, one will get a rectangle.  

Answer:

1/2

Step-by-step explanation:

you could get 2 or 4 or 6

Answer: hi hope this helps

Step-by-step explanation:

Answer:

39/100 or 39%

Step-by-step explanation:

1−(58/100+3/1000)

=39/100.

39%

Answer: 40 people

Step-by-step explanation:

There were 5 pies in the party and each person that came got an equal share of 1/8.

The number of people who were there is therefore:

= Number of pies / Share each person got

= 5 ÷ 1/8

= 5 * 8/1

= 40 people

Answer:

4

Step-by-step explanation:

24xy---> 2

-xy3--->4

x2--->2

37000 + 37000\(0.09)

is the answer.

Answer:

18 years

Step-by-step explanation:

Transforming the question in form of equation:

Let x be the current age.

x + 32 = 5(x-8)

x + 32 = 5x - 40

5x - x = 40 + 32

4x = 72

x = 18

Answer: look at this! He’s 18

Step-by-step explanation:

equation = x+32=5(x-8)

X+32=5x-40

5x-x=32+40

4x=72

X=72/4

=18