Carrie spent 1/4 of her allowance on a shirt, 1/3 of her allowance on a skirt, and $8 on a belt. If she spent $22 in all, how much was Carrie’s allowance?

Answer/Step-by-step explanation:

3.a. length of AC.

Hypotenuse = AC

Opposite side to 60° = 7

Therefore, [tex] sin(60) = \frac{7}{AC} [/tex]

[tex] AC*sin(60) = \frac{7}{AC}*AC [/tex]

[tex] AC*sin(60) = 7 [/tex]

[tex] AC = \frac{7}{sin(60)} [/tex]

[tex] AC = 8.1 [/tex] (to nearest tenth)

b. Length of BC

Hypotenuse = BC

Opposite side to 50° = 7

Therefore, [tex] sin(50) = \frac{7}{BC} [/tex]

[tex] BC*sin(50) = \frac{7}{BC}*AC [/tex]

[tex] BC*sin(50) = 7 [/tex]

[tex] BC = \frac{7}{sin(50)} [/tex]

[tex] BC = 9.1 [/tex] (to nearest tenth)

c. Length of AB

Use the law of sines to find AB

[tex] \frac{BC}{sin(A)} = \frac{AB}{sin(C}} [/tex]

m<C = 180 - (60 + 50) (sum of angles in a triangle) = 70°

m<A = 60°

BC = 9.1

AB = ?

[tex] \frac{9.1}{sin(60)} = \frac{AB}{sin(70)} [/tex]

Cross multiply

[tex] 9.1*sin(70) = AB*sin(60) [/tex]

Divide both sides by sin(60)

[tex]\frac{9.1*sin(70)}{sin(60)} = \frac{AB*sin(60)}{sin(60)}[/tex]

[tex]\frac{9.1*sin(70)}{sin(60)} = AB[/tex]

[tex] 9.9 = AB [/tex] (nearest tenth)

[tex] AB = 9.9 [/tex]

Answer:

(b)

Step-by-step explanation:

This is the answer of your questions if right give 5 star!!! and Mark as brainliesr

Answer: Midpoint (xM, yM)  =  (4, 5)

Answer: -41

Step-by-step explanation:

Answer:

41 degrees below 0 is -41

Answer: 13.5π≈42.41

Step-by-step explanation:

Basically it is asking for the circumference of this cylinder.

#1 Find the circumference of the circle base

Formula to use: 2πr

2πr=2π(1.5)=3π

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

#2 Find the area of the circle base

Formula to use: πr²

πr²=π(1.5)²=2.25π

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

#3 Find the area of body of the cylinder

Formula to use: lw

300cm=3m

l (length)= 3π (since the body of the cylinder the basing on the circumference of the circle base)

w (width)= 3

lw=3π×3m=9π

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

#4 Add all of them together

There are 2 base and one body

2.25π×2+9π=13.5π

Answer:

I can't see the numbers well, but the graph is decreasing from (-inf, minimum) and increasing from (minimum, inf).  The minimum  is the vertex.  Hope this helps!

Step-by-step explanation:

Answer:The rational numbers includes all positive numbers, negative numbers and zero that can be written as a ratio (fraction) of one number over another. Whole numbers, integers, fractions, terminating decimals and repeating decimals are all rational numbers.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

3 pears / 9 apples

simplified: 3/3 / 9/9

= 1/3

Answer:

wat???

Step-by-step explanation:

Answer:

Hope this will help you :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The rate of change of number of tree y on x branches of a tree is expressed as shown;

m = Δy/Δx where;

m is the rate of change

Δy is the change in number of leaves  between 3 and 4

Δx is change in number of branches  between 3 and 4

m = Δy/Δx = y₂-y₁/x₂-x₁

From table between 3 and 4, y₂ = 100, y₁ = 75, x₂ = 4, x₁ = 3

m = 100-75/4-3

m = 25/1

m = 25

Hence the rate of change between 3 and 4 branches is 25

Answer:

The answer is below

Step-by-step explanation:

The question is not correct, the correct question is:

The regional manager of a chain of department stores created the following stem-and-leaf plot showing the number of pairs of boots at each of the stores:

I 0 I

I 1 I 7 8

I 2 I 0 5 8

I 3 I 4 4 7 8

I 4 I 0

I 5 I

I 6 I

How many department stores have more than 60 pairs of boots

Answer:

The stem and leaf plot is a table which is used to represent a value with the first and other digit as the stem while the last digit is the leaf.

From the table attached, the first column is the stem and the remaining column are the leafs. Therefore from the table, below are the pairs of boots in different stores:

17, 18, 20, 25, 28, 34, 34, 37, 38 and 40.

All the store have fewer than 60 boots. This means that the number of stores with more than 60 pairs of boots is 0

Answer:

9

Step-by-step explanation:

They are similar triangles.  Since 6 is 1.5 times the four, x has to be 1.5 times the 6.

6*1.5=9

Answer:

A and C

Step-by-step explanation:

Answer:

The mean size of the shoe is 7.

Step-by-step explanation:

We are given the shoe size for all the pairs of shoes in a person closet below;

X = 7, 7, 7, 7, 7, 7, 7, 7, 7, 7.

And we have to find the mean of the data.

Let X = shoe size for all the pairs of shoes

As we know that the mean of any discrete data is given by the following formula;

               Mean, [tex]\bar X[/tex] = [tex]\frac{\text{Sum of all the observations}}{\text{Total number of observations}}[/tex]

Here, the number of observations = 10

                              =  [tex]\frac{7+7+7+7+7+7+7+7+7+7}{10}[/tex]

                              =  [tex]\frac{70}{10}[/tex]  = 7

Hence, the mean size of the shoe is 7.

Answer: 16.15

Step-by-step explanation:

Divide by 5 on both sides

m=16.15

Answer:

49 feet

Step-by-step explanation:

We solve for this using proportion

Height of Jack's house = ?? = Y

Length of the shadow of Jack's house = 56 feet

Height of a tree = 21 feet

Length of the shadow of the tree = 24 feet

Height of Jack's house/ Shadow of Jack's house = Height of a tree/ Shadow of the tree

Y/56 = 21/24

Cross Multiply

24 × Y = 56 × 21

Y = 56 × 21/24

Y = 1176/24

Y = 49 feet

Therefore, the height of Jack's house is 49 feet

Answer:

$94.05

Step-by-step explanation:

Original price of jeans=$95

Discount=10%

New price=(100% - 10%) of $95

=90% × 95

=90/100 × 95

=0.9 × 95

=$85.5

Sales tax of 10%

10% of the new price

=10/100 × 85.5

=0.1 × 85.5

=$8.55

Sales tax =$8.55

Total amount paid for the jeans= sales tax + new tax

=$8.55 + $85.5

=$94.05

Answer:

51.3°

Step-by-step explanation:

Step 1: Use tan to find angle y

o = 10

a = 8

[tex]tan()=\frac{o}{a} \\tan(y)=\frac{10}{8} \\y = tan^{-1} (\frac{10}{8})\\y = 51.3[/tex]

Therefore angle "y" is 51.3° rounded to the nearest tenth

Let x be the no.of square feet for landscaping

Company A

Monthly consulting fee = $250

Cost of landscaping of 1 sq.feet = $10

Cost of landscaping of x sq.feet = $10x

So, Total charge by company A = 250+10x  ---1

Company B

Monthly consulting fee = $90

Cost of landscaping of 1 sq.feet = $12

Cost of landscaping of x sq.feet = $12x

So, Total charge by company B = 90+12x   ---2

Now we are supposed to find  how many square feet of landscaping will the two companies charge the same amount

So, Equate 1 and 2

[tex]250+10x=90+12x\\160=2x\\80=x[/tex]

So, the two companies charge the same amount for 80 sq.feet

Total charge by company A for 80 sq.feet = 250+10(80)= $1050

Total charge by company B for 80 sq.feet = 90+12(90)=$1170

Answer:

Step-by-step explanation:

The number -1/3 belongs to the set of rational numbers.

A number -1/3 is given in the question.

We have to find out that this number belongs to which set of numbers.

What is a rational number ?

A rational number is one which can be expressed as fraction p/q of two integers where p is a numerator and q is a non-zero denominator i.e., q ≠ 0.

Let's check -1/3 belongs to which set,

We know that ,

Natural numbers are the counting numbers , so -1/3 can't be a natural number.

Also ;

-1/3 can't be a irrational number because as this number is a finite number.

Let's check if it is a rational number ;

We know that rational number can be expressed in form of p/q.

Hence ;

[tex]\frac{p}{q}[/tex] = [tex]\frac{-1}{3}[/tex] , where ; p = -1 and q = 3 i.e., q ≠0

Thus , the number -1/3 belongs to the set of rational numbers.

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https://brainly.com/question/18114925

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Answer:

4√x

Step-by-step explanation:

4√x

Answer:

the answer would be 0 because 0+5=5

Answer:

150[tex]cm^{2}[/tex]

Step-by-step explanation:

Curved surface area of a cylinder = 2[tex]\pi rh[/tex]

Radius=[tex]\frac{5}{2}\\[/tex]cm

Height=[tex]30[/tex]cm

Curved surface area of a cylinder=[tex]2\pi rh[/tex]

                                                        = 2 x [tex]\frac{5}{2}[/tex] x 30

                                                       = 150 [tex]cm^{2}[/tex]

Answer:

I can't understand how you wrote the question try writing it again so I can help

Answer:

≈ Rs. 16.57

Step-by-step explanation:

Given:

Money should be made to get 10% profit:

Eggs left for sale:

Selling price:

Answer: yes

Step-by-step explanation:

adding 50 40 30 20 10 and 0 gets you 150 so 2nd place gets 40

Answer: 20

Work: A = 1/2 bh

A = 1/2 (5(8))

A = 1/2 (40)

a = 20

plz mark brainliest

Answer:

Step-by-step explanation:

[tex]A = \frac{1}{2} bh [/tex]

when

b = 5

h = 8

Substitute the values of b and h into the above formula

That's

[tex]A = \frac{1}{2} (8)(5) \\ A = \frac{1}{2} \times 40 [/tex]

We have the final answer as

Hope this helps you

Answer: fluorescence

Step-by-step explanation:

Answer:

fluorescence

Step-by-step explanation:

Answer:

-28

Step-by-step explanation:

insert the values

-a + 6y

-(4) + 6(-4)

-4 +(-24)

-4-24

-28