Sarah starts with $375 in her savings account. After getting a part-time job, she deposits $90 every week. Write an equation showing this situation if x is number of weeks, and y is total amount of money in her savings account. *

Answer: 1. 71.4

2. 40.10

Step-by-step explanation:

1. The radius is half of the diameter so just divide 142.8 by 2

2. Diameter is easy 20.5*2

Hope this helped :)

Answer:

Step-by-step explanation:

(-2x)⁴(-3⁻¹x¹y⁻²)³ = -(16x⁷)/(27y⁶)

Answer:

We know it's at -1260 feet and descends 5 per minute

The expression of this would be: -1260 - 5x, where x would be the time in minutes, as from -1260 feets it descends 5 per min.

Then, if we need to calculate it when it passes 12 minutes, we can replace the x by 12, and get the distance it would be

-1260 -5*12 = -1320 feet

And the answer would be -1320 feets

Answer:

A. is correct

Step-by-step explanation:

sqrt3*sqrt12 can be rewritten as √3·√12, which can be extended to

√3·√3·√4.

Note that √4 = 2 and that (√3)^2 = 3,

so the final result is 2*3, or 6 (a rational number).

A. is correct:  √3 and √12 are both irrational, but their product is rational.

Answer:

-$1.00

Step-by-step explanation:

Subtract amount of money you owe

17 + 8 = 25

24 - 25 = -1

Answer:

b

the sqr root should go with the x and the intercept is at -2/3

Answer:

Hence a = 3.66 and -3.628

b = 0.834 and -2.634

Step-by-step explanation:

Given the equations

a-2b =2 -------- (1)

a²+b²+2a -3b =19 --------(2).

From 1;

a = 2 + 2b

Substitute into 2

(2+2b)²+b²+2a -3b =19

Expand

4 + 8b + 4b²+b²+2(2+2b)-3b = 19

4b²+b²+8b+4b+4+4-3b = 19

5b²+9b+8 = 19

5b²+9b-11 = 0

b = -9±√81+4(55)/2(5)

b= -9±√301/10

b = -9+17.34/10 and -9-17.34/10

b = 8.34/10 and -26.34/10

b = 0.834 and -2.634

Since a = 2+2b

a = 2+2(0.834)

a= 2 +1.668

a = 3.668

Also

a = 2+2(-2.634)

a = 2 - 5.628

a = -3.628

Hence a = 3.66 and -3.628

b = 0.834 and -2.634

Answer:

The cost of screen for window = 864.

Step-by-step explanation:

We have,

Fir solving,

★Conversion from ft to inches:

We kow that,

Taking this in mind, convert the values

= Length = 3 ft

= Length = 3 × 12

= Length = 36 inchees

= Breadth = 2ft

= Breadth = 2 × 12

= Breadth = 24 inches

★Area of window:

We know that,

= Area of rectangle = Length × Breadth

= Area = 36 × 24

= Area = 864 inches²

As, area of window in square inches equal to cost of the screen.

Therfore, cost of screen would be 864.

Answer:

[tex]x = 6[/tex]

Explanation:

Given:

[tex]Area = 24cm^2[/tex]

See attachment for shape

Required

Find x

The attached shape is a rectangle.

So:

[tex]x * 4 = 24[/tex]

[tex]4x = 24[/tex]

Divide both sides by 4

[tex]\frac{4x}{4} = \frac{24}{4}[/tex]

[tex]x = \frac{24}{4}[/tex]

[tex]x = 6[/tex]

Answer:

225

Step-by-step explanation:

450 ÷ 2 = 225

Answer:

225 rooms

Step-by-step explanation:

Find 1/2 or 50% of 450. 50% of 450 is 225. So 225 rooms are full, and 225 are empty.

Answer: The height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.

Step-by-step explanation:

Let x= height of each fir tree, y = height of each pine tree.

As per given, we have

x+y = 21          (i)

4x=y+24        (ii)

From (ii),

[tex]4x-y=24[/tex]            (iii)

Add (i) and (iii), we get

[tex]5x=45\\\\\Rightarrow\ x=\dfrac{45}{5}\\\\\Rightarrow\ x=9[/tex]

Put value of x in (i), we get

[tex]9+y=21\Rightarrow y=12[/tex]

Hence, the height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.

Answer:

Each fir tree is  9  meters tall and each pine tree is  12  meters tall.

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Answer:

y = - 3x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m = [tex]\frac{-2-4}{0+2}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

The line crosses the y- axis at (0, - 2 ) ⇒ b = - 2

y = - 3x - 2 ← equation of line

$9436 EMI Keri has to pay for $500,000 loan at the rate of 5% for 5 years.

equated monthly instalment or EMI relates to payments made regularly to repay an outstanding loan within a certain time frame.

Given loan rate is 5% and time period is 5 years let total amount is $500,000. Formula for EMI Calculation is -

P x R x (1+R)^N / [(1+R)^N-1] where-

P = Principal loan amount.

N = Loan tenure in months.

R = Monthly interest rate.

R = Annual Rate of interest/12/100.

Putting these values in above equation

EMI = 500000 *5* *(1 + 5%)^60 / [(1 + 5%)^60]

EMI = 9436

Therefore, Keri must pay a $9436 EMI on her $500,000 loan over five years at a rate of 5%

Learn more about EMI here:

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Answer:

35cm

98°

Step-by-step explanation:

4x+3=6x-13

4x+16=6x

16=2x

8= x

4x+3 = 8*4+3 = 35

9y+17=11y-1

9y+18=11y

18=2y

9=y

9y+17 = 9*9+17= 98°

Answer: -30

Step-by-step explanation:

I just plugged it into a calculator hehe.

Answer:

younger sibling = 29 years

older sibling = 35 years

Step-by-step explanation:

Let

x = younger sibling

y = older sibling

x + y = 64 (1)

The older sibling was born 6 years before their young sibling

x = y - 6 (2)

Substitute x = y - 6 into (1)

x + y = 64

y - 6 + y = 64

2y = 64 + 6

2y = 70

y = 70/2

y = 35 years

Substitute y = 35 into (2)

x = y - 6

x = 35 - 6

x = 29 years

If (6*1.33) - 8 equals anything, it's -0.02

If you want your answer to be 16, X must equal 4

Answer:

Month since April                                   Number of Ants

          0                                                         10,000

           1                                                         30,000

          2                                                         90,000

          3                                                        270,000

          4                                                         810,000

Every month, the ant population triples so the multiply the previous population by 3 to find out the new population.

0 months from April = 10,000 * 1 = 10,000 ants

1 month from April = 10,000 * 3 = 30,000 ants

2 months from April = 30,000 * 3 = 90,000 ants

3 months from April = 90,000 * 3 = 270,000 ants

4 months from April = 270,000 * 3 = 810,000

Answer:

40 degrees

Step-by-step explanation:

all angles add to 180* in a triangle

65+75=140

subtract from 180, you get 40 which is your answer

Answer:

TRANSALATE!!!!

Step-by-step explanation:

Answer:

Para qué sirve un modelo matemático? Los modelos matemáticos son utilizados para analizar la relación entre dos o más variables. Pueden ser utilizados para entender fenómenos naturales, sociales, físicos, etc.

Step-by-step explanation:

Answer:

17.75

Step-by-step explanation:

43.5 divided by 2 is 21.75

21.75 minus 4 equals 17.75

You're basically just using reverse operations to get back to the original number.

Answer:

x/2

Step-by-step explanation:

Answer:

sum of angles in a triangle is 180

so 55+80+x=180

135+x=189

x=180-135

x=45

Answer:

abscissa

I know because intoke the test and it had the same answer in it

Answer:

5x=25

Step-by-step explanation:

if you need the answer

5x5=25

5+5+5+5+5=25

Answer:

5.46π cm³

Step-by-step explanation:

Volume of sphere= 4/3πr³

= 4/3×π×(1.6)³ cm³

=5.46π cm³

hope this helped you!

Answer: 15% I think

Step-by-step explanation:

The percent of increase in the amount of shampoo the new bottle contains is 25%.

Given that, a certain brand of shampoo contains 12 ounces in a bottle and the new type of bottle contains 15 ounces of shampoo.

Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage.

Percentage increase = (Final value - Initial value) / Initial value × 100

Now, initial value = 12 and final value = 15

Percentage increase = (15-12)/12 × 100

= 3/12 × 100

= 1/4 × 100

=25%

Therefore, the percent of increase in the amount of shampoo the new bottle contains is 25%.

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