Amy can clean the interior of her car in 3 hours. If Amy and her husband work together,
they can clean the interior in an hour less time than it took Amy alone. How long will it
take Amy's husband if he cleans the interior of Amy's car alone?
*Enter only your numerical value (you do not need the units *hours)

Answer:

12^2x = 7^4 = 2401

7^2=12^x

We know that a^x * a^x = a^(x+x) or a^2x

Multiply each side by 12^x

7^2 * 12^x=12^x * 12^x

7^2 * 12^x = 12^(x+x)

Replace 12^x with 7^2 on the left hand side since they are equal

7^2 * 7^2 = 12^ (2x)

7^(2+2) = 12^(2x)

7^4 = 12^2x

2401 = 12^2x

Step-by-step explanation:

The group that had the highest percentage of students that like Sports is  group B.

The group that had the less percentage of students that like English is group A.

the percentage of students like Math in group A is 30% and 10% in group B

A pie chart is a graph that displays information in a circle. The circle is divided into slices which represent a numerical proportion. The sum of angles in a pie chart is 360 degrees

Percentage of students that like sports in:

Percentage of students that like English in:

Percentage of students that like Maths in:

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Answer:

10 + 7 + 4 + . . .; n = 5​

The series is arithmetic

Common difference between terms = (-3)

10 - 3 = 7

7 - 3 = 4

Or:

10 + (-3) = 7

7 + (-3) = 4

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

Another example:

Arithmetic:

5, 9, 13, 17

common difference = 4

5 + 4 = 9

9 + 4 = 13

Geometric:

4, 8, 16, 32

4 × 2 = 8

8 × 2 = 16

16 × 2 = 32

common ratio = 2

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

10 + 7 + 4 + . . .; n = 5​

a₁ = 10

a₂ = 7

a₄ = a₃ + d = 4 + (-3) = 4 - 3 = 1     (d = common difference)

a₅ = a₄ - 3 = 1 - 3 = -2

Or with formula:

[tex]d=a_{n} -a_{n-1}[/tex]

d = a₂ - a₁ = 7 - 10 = -3

aₙ = a₁ + (n - 1)d

fourth term = a₄ = 10 + (4 - 1)(-3) = 10 + 3(-3) = 10 + (-9) = 10 - 9 = 1

fifth term = a₅ = 10 + (5 - 1)(-3) = 10 + 4(-3) = 10 + (-12) = 10 - 12 = -2

Sum of the finite series (if n = 5):

[tex]S_{n} =\frac{n(a_{1} +a_{n} )}{2} \\S_{5} =\frac{5(a_{1} +a_{5} )}{2} \\S_{5} =\frac{5(10 +(-2) )}{2} \\S_{5} =\frac{5(8 )}{2} =\frac{40}{2} =20[/tex]

Manual count: S₅ = 10 + 7 + 4 + 1 + (-2) = 20

Answer:

Maya is correct. She wrote equivalent fractions with the same denominator and then correctly compared the fractions. Aimee wrote equivalent fractions with the same numerator but did not correctly compare the fractions. Only Maya is correct.

When you're comparing fractions, you have to set them equal to the same denominator, not the same numerator.

Hope this helps

Answer:

Nearly the answer is 15 cm

because answer is in decimals

Answer: the product of this question is 858

Step-by-step explanation:

Answer:

357.46 meters squared

Step-by-step explanation:

16 x 12.2 x 1/2 = 97.6

12.2 x 10.6 = 64.66

97.6 x 3 = 292.8

292.8 + 64.66 = 357.46

Answer

f(x) = -9 cos((12(pi) / 7)x) -11

The base equation for a cosine graph is

f(x) = a cos(b(x-c))+d

a = amplitude

b = period

c = phase shift

d = vertical shift

if there's a reflection over the x-axis then there is a negative sign in front of the amplitude

I wrote the equation previously but it got deleted so let me know if you have any problems with this explanation

Answer:

ok so first you add all the prices together.

$9:00+$7:00+$8:00+$6:00+$4:00=34

then divide 34 by the number of prices.

34/5

then you get the mean

$6.8 is the mean

Step-by-step explanation:

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

" The mean of the following data is 509. {419, 450, 462, 499, 520, 521, 589, 612} "

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

First, divide the mean (or average) by the population size (amount of numbers in the set).

509 / 8 = 51.5

There you go! Your absolute deviation.

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

Good luck!

~pinetreee

The mean absolute deviation for the data set is 51.5.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

We are given that;

Mean= 59

{419,450,462,499,520,521,589,612}

Now,

Count the number of data values in the set. In this case, n = 8.

Subtract the mean from each data value and take the absolute value. For example:

∣419−509∣=90

∣450−509∣=59

∣462−509∣=47

∣499−509∣=10

∣520−509∣=11

∣521−509∣=12

∣589−509∣=80

∣612−509∣=103

Add up all the absolute differences and divide by n. For example:

MAD=890+59+47+10+11+12+80+103​

MAD=412​/8

MAD=51.5

Therefore, by mean the answer will be 51.5.

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Answer:

Christine has $18, Kareem has $23, and Trey has $92.

Step-by-step explanation:

This can be solved by using variables to represent the unkown values.

x = Christine's money

x + 5 = Kareem's money.

4(x + 5) = Trey's money.

x + (x + 5) + 4(x + 5) = 133

2x + 5 + 4x + 20 = 133

6x = 108

x = $18

This means that Christine has $18, Kareem has $23, and Trey has $92.

Hope this helps

Answer:

890.625

Step-by-step explanation:

2.5x2.5x2.5 (Volume of Cube)=15.625

Density is 57

57=x/15.625

890.625=x

Answer:

D. x=12

Step-by-step explanation: quick maths

Answer:

figure: parallelogram

area formula: base× height

A=bh

A= 13×6

A=78

Step-by-step explanation:

Opposite sides of a parallelogram are congruent.: AD=BC

DC=AB

The questions are all illustrations of conditional probabilities, and they can be solved using the general conditional probability formula; P(A|B) = P(A and B)/P(B)

The conditional probability P(A|B) is calculated using:

P(A|B) = P(A and B)/P(B)

Using the above formula, we have:

P(has at least 4 sides| not a hexagon) = 38/50

P(has at least 4 sides| not a hexagon) = 0.76

P(not a square | has less than 7 sides) = 30/45

P(not a square | has less than 7 sides) = 0.67

P(not an octagon | not a triangle) = 39/51

P(not an octagon | not a triangle) = 0.76

P(octagon | sum of interior angle measures is at least 600) = 9/25

P(octagon | sum of interior angle measures is at least 600) = 0.36

The conditional probability is calculated using:

P = P(perfect attendance and honor roll)/P(Honor roll)

So, we have:

P = 25%/38%

Evaluate

P = 0.66

Hence, the probability that a student has a perfect attendance, given that he made the honor roll is 0.66

The conditional probability is calculated using:

P = P(Home has a pool and at least 3 bedrooms)/P(at least 3 bedrooms)

So, we have:

P = 25%/70%

Evaluate

P = 0.36

Hence, the probability that a home has a pool, given that it has at least 3 bedrooms is 0.36

Using the conditional probability formula in (a), we have:

P(uses Ins tag ram| does not use Sna pch at) = 45/(20 + 45)

P(uses Ins tag ram| does not use Sna pch at) = 0.69

P(does not use Ins tag ram| uses Sna pch at) = 25/(30 + 25)

P(uses Instag ram| does not use Sna pch at) = 0.45

Using the conditional probability formula in (a), we have:

P(plays sport| has a part-time job) = 22/68

P(plays sport| has a part-time job) = 0.32

P(has a part-time job| plays sport) = 22/40

P(has a part-time job| plays sport) = 0.55

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Step-by-step explanation:

speed = distance/time

time = t = distance/speed

t = 180/b + (400-180)/c = 180/b + 220/c = 20(9/b + 11/c)

Answer:

48 in

Step-by-step explanation:

1ft=12in so 12in x 4ft= 48 in

Answer:

ans willbe -8

Step-by-step explanation:

-1/2 × 2 =-1

-1×2=-2

-2×2=-4

-4×2=-8

The equivalent expression of the given expression 50 - 10 - 15 will be 50 + (- 10) + (- 15). Then the correct option is C.

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

→ 50 - 10 - 15

Then the expression can be written as

→ 50 + (- 10) + (- 15)

Thus, the correct option is C.

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The total number of student tickets were sold is 183 if the theater production cost $18 for students and $25 for non-students.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the x number of students tickets were sold and

y number of tickets were sold for non students.

Then we can frame two linear equations:

x + y = 320 ...(1)

18x + 25y = 6719 ...(2)

From equation (1) take the value of y and plug into the equation (2)

18x + 25(320 - x) = 6719

18x + 8000 - 25x = 6719

7x = 1281

x = 183 tickets

Thus, the total number of student tickets were sold is 183 if the theater production cost $18 for students and $25 for non-students.

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Answer:

  ∠B = 40°

Step-by-step explanation:

The given angle relations can be expressed in two equations.

__

  A + B = 90° . . . . . . . . angles are complementary

  A×(1 -20%) = B . . . . . B is 20% smaller

__

Using the second equation to substitute for B in the first equation, we get ...

  A + 0.80A = 90° . . . . . . substitute for B

  A = 90°/1.8 = 50° . . . . . collect terms, divide by the coefficient of A

  B = A(0.80) = 40° . . . . find B from A

The measure of angle B is 40°.

Answer:

34000

Step-by-step explanation:

There are 3 shapes present.

Triangle - 2

Circle - 4

Square - 2

The ratio of triangles to circles: 2 triangles to 4 circles ⇒ 2/4

2/4 simplified to 1/2.

The properties that equilateral triangles and isosceles triangles have in common is that they have two equal sides.

A triangle is a polygon that has three sides and three angles. Types of triangles are isosceles, equilateral and scalene triangle.

An equilateral triangle is a triangle that have three equal sides while isosceles triangle have two equal sides.

The properties that equilateral triangles and isosceles triangles have in common is that they have two equal sides.

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