Adele swam the length of the pool in 32.56 seconds. Alexandria swam the length of the pool in 29.4 seconds. How many seconds faster was Alexandria’s time than Adele's time?

Answer:

D; $4,250

Step-by-step explanation:

Here, we want to know the amount that was invested in the 5% account

We proceed as follows;

Let the amount invested in the 5% interest account be $a and the amount invested in the 8% interest account be $b

We have it that the total investment amount is $11,000

Mathematically, since total is 11,000; we can add a and b to give this

a + b = 11,000 •••••••••(i)

Now, let us work with the interests

Interest earned will be;

Percentage of interest * Amount invested

For the 5% interest account, the interest earned will be;

5/100 * a = 5a/100 = 0.05a

For the 8% interest account , the interest earned will be;

8/100 * b = 0.08b

By adding the interests on both account, we can get the total amount of interest earned

We can have this as;

0.05a + 0.08b = 752.50 •••••(ii)

From equation i above;

b = 11,000 - a

Substitute this into ii

0.05a + 0.08(11,000-a) = 752.5

0.05a+ 880 - 0.08a = 752.5

0.08a-0.05a = 880-752.5

0.03a = 127.5

a = 127.5/0.03

a = $4,250

Answer:

112 degrees

Step-by-step explanation:

The other 2 interior angles are (180-44)/2 which is 68.

180 (straight line) -68 = 112

Answer:

correct because one in six game pieces win a prize.

Step-by-step explanation:

Given:

[tex]36uw^3y[/tex] and [tex]45u^2y[/tex]

To find:

The GCF of given expressions.

Solution:

The factor forms of given terms are:

[tex]36uw^3y=2\times 2\times 3\times 3\times u\times w\times w\times w\times y[/tex]

[tex]45u^2y=3\times 3\times 5\times u\times u\times y[/tex]

Now, greatest common factor (GCF) of given terms is

[tex]GCF(36uw^3y,45u^2y)=3\times 3\times u\times y[/tex]

[tex]GCF(36uw^3y,45u^2y)=9uy[/tex]

So, the GCF of given terms is 9uy.

Therefore, the correct option is A.

Answer:

I learned this I I kinda remember what you do is times everything together example 4×7×6 like that do all the sides

Step-by-step explanation:

multiply 17, 12, and 24. then multiply 10, 4, and 12. then add those 2 products.

HOPE THIS HELPS :)

Answer:

a=4, b=6 c=5

Step-by-step explanation:

Answer:

Domain is all real numbers.

Range is -3 to infinity that is y >= -3 (that is y -3)

Increasing from x > -4 ( that is from -4 to +infinity) that is to right of -4

Decreasing from x <-4 (that is -infinity to -4) that is to left of -4

This has a minima at x= -4 with y= -3. We can write as (-4, -3)

Maxima is not there as it is going to infinity

Step-by-step explanation:

Answer:

i think point A ( -3 , 4)

(-3,4)

Answer:

yes?

Step-by-step explanation:

Answer:

The slope of the line represented by y = 5x is 5

Step-by-step explanation:

The form of the linear function is y = m x + b, where

To find the slope of a line from its equation compare the equation with the form of the linear function, then find the coefficient of x which is the slope of the line

∵ The equation of the line is y = 5x

→ Compare it with the form of the equation above

∵ The coefficient of x = 5

∴ m = 5

∴ The slope of the line represented by y = 5x is 5

Answer:

Outlier An extreme value in a set of data which is much higher or lower than the other numbers. ... Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.

Step-by-step explanation:

Hope it is helpful....

Answer:

The equation will have infinitely many solutions.

Option A is correct

Step-by-step explanation:

We need to tell if the equation [tex]2(4x + 10) = 8x + 20[/tex] has one, zero, or infinitely many solutions.

First we solve the equation to find the value of x

[tex]2(4x + 10) = 8x + 20[/tex]

First multiply 2 with terms inside the bracket

[tex]8x+20=8x+20[/tex]

Now Subtract 20 from both sides

[tex]8x+20-20=8x+20-20[/tex]

[tex]8x=8x\\0=0[/tex]

So, the equation will be true for all values of x

As after solving the equation we get 0=0 so, the equation will have infinitely many solutions.

Option A is correct

Step-by-step explanation:

2x-y=8

x+y=20

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

3x=28

×=28÷3=9.3

so

9.3+y=20

y=20-9.3

y=20.7

Answer:

15 times.

Step-by-step explanation:

5 x 14 = 70 points

3 x (19-14) = 3 x 5 = 15 points

70 points - 15 points = 55 points.

Answer:

5

Step-by-step explanation:

Answer:

(6,4)

Step-by-step explanation:

Midpoint=((x1+x2)/2 ,(y1+y2)/2)

((10+2)/2 ,(7+1)/2)

(6,4)

x1=10

x2=2

y1=2

y2=1

Answer:

im not seeing the problem...

Answer:

y = - x

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

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

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

m = [tex]\frac{-2=2}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , thus

y = - x ← equation of line

Answer:

option c ) y = 3x -2

given, y=10 & x=4

let's equate in equation

y = 3x -2

LHS = Y = 10 ( given )

RHS = 3X -2 = 3(4)-2

= 12-2

= 10

SO, LHS = RHS

hence , SATISFIED ✔️

we end here ^^"

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Answer:D

Step-by-step explanation:

An auto repair shop charged $75/h  for labor plus an additional $89 for parts.

If the shop worked for 2 h.

C = Represented the total repair cost .

Than the equation becomes

C = 75 × 2 + 89

C = 75 (2) + 89

Therefore the total cost for the repair  is represented by C = 75 (2) + 89 .

Option (D) is correct .

Answer:

Step-by-step explanation:

the charge is 77 dollars per hour of labor

Answer:

680 dollars

Step-by-step explanation:

.5x - 125 = 215

.5x = 340

x = 680

please see my steps to work this problem

Answer:

y = 3x - 17

Step-by-step explanation:

Parallel lines have the same slope.

The slope of the given line, y = 3x - 2 is 3.

The equation we are looking for is of the form

y = mx + b

Since we know the slope, m, is 3, we have

y = 3x + b

To find the value of b, we substitute x and y with the values from the given point and solve for b.

-2 = 3(5) + b

b = -17

The equation is

y = 3x - 17

Answer:

The distance between the two points is [tex]\sqrt{26}[/tex]

Step-by-step explanation:

The formula of the distance between two points (x1, y1) and (x2, y2) is

d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

∵ The points are (-1, 3) and (4, 2)

∴ x1 = -1 and x2 = 4

∴ y1 = 3 and y2 = 2

→ Substitute them in the formula of the distance above

∵ d = [tex]\sqrt{(4--1)^{2}+(2-3)^{2}}[/tex]

∴ d = [tex]\sqrt{(4+1)^{2}+(-1)^{2}}[/tex]

∴ d = [tex]\sqrt{(5)^{2}+1}[/tex]

∴ d = [tex]\sqrt{25+1}[/tex]

∴ d = [tex]\sqrt{26}[/tex]

∴ The distance between the two points is [tex]\sqrt{26}[/tex]

Answer:

a.

Step-by-step explanation:

for A, put a dot on (0,2) and (1,5) and connect them (arrow should be pointing up)

then make another line by plotting a dot on (0,-2) and (1,-4) (arrow should be pointing down)

since the < and > have an equal to (_) line at the bottom, the point/dot at (0,2) and (0,-2) have to be filled in

Answer:

-5h-2   I think this is the answer.

Step-by-step explanation:

Answer:

1) 50/100 - 50%

2) 70/100 - 70%

3) 60/100 - 60%

4) 68/100 - 68%

5) 38/100 - 38%

6) 0.05/100 - 5%