The pie chart below shows the Estrada family’s distribution of the monthly expenses for the last month. The Estrada family spent $366 on clothing last month.

What were the total expenses of the Estrada family last month?

Answers

Answer 1

Pie charts are used to show the relationship between data in a circle. The total expenses of the Estrada family last month are: $2287.5

Given that:

[tex]Clothing = \$366[/tex]

From the Pie chart, 13% of the total expenses were spent on clothing.

This means that

[tex]13\% \times Total = Clothing[/tex]

So, we have:

[tex]13\% \times Total = \$366[/tex]

Divide both sides by 13%

[tex]Total = \$366 \div 16\%[/tex]

[tex]Total = \$2287.5[/tex]

Hence, the total expenses are: $2287.5

Read more about pie charts at;

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Change each base 10 number to a binary by the division method
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Answer:

Step-by-step exA wall is 1200 sq ft.

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15-(4m - 5) = 32 please help me

Answers

Answer:

m = -3

Step-by-step explanation:

15 - (4m - 5) = 32            (Given)

15 - 4m + 5 = 32             (Distributed)

20 - 4m = 32                  (Added like terms)

20 - 4m - 20 = 32 - 20  (Subtract 20 on both sides)

-4m = 12                         (Simplify)

-4m/-4 = 12/-4                (Divide -4 on both sides)

m = -3                             (Simplify)

Your Gps shows that your friends house is 10.0 km away, as shown in the image below. but there is a big hill between your house and you dont want to bike the directly. You know your friends street is 6.0km north of your street. How far do you have to ride before turning north to get to your friends house?

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Answer:

2.0km

Step-by-step explanation:

What is the difference between opposites and integer

Answers

Answer:

An integer is any positive whole number or its opposite. Here, opposite means sign. So a positive integer has a negative opposite and vice versa

Step-by-step explanation:

-5 and 5 are an example.

if the sum of three consecutive integer is 75 ..then what is the greatest possible value of smallest one

Answers

Answer:

If sum were 75 the integers would be 24, 25 and 26, so the next lowest/smallest sum would be 23 + 24 + 25 is 72. The answer is 23.

Answer:

smallest value=24

Step-by-step explanation:

steps are in picture.

Note:If you have any confusion you can ask me.

Find the distance between the points (5, 3) a
and (5, -6).

Answers

Answer:

Answer is 9.

Step-by-step explanation:

a (5, 3),  b (5, -6)

[tex]\sqrt(x^2 - x^1) ^2+(y^2- y^1)^2\\\sqrt(5 - 5)^2 +(-6- 3)^2\\\\\sqrt(0)^2 +(-9)^2\\\\\sqrt(81)\\\\9[/tex]

Answer: 9

Step-by-step explanation:

Sqrt (5-5)^2+(-6-3)^2 =

Sqrt (0)+(-9)^2

Sqrt 81 = 9

I need some help with this. how many beats per minute?

Answers

The bottom row x axis) is seconds and goes to 6 seconds

Each peak is a heartbeat, there are 9 in the 6 seconds.

A minute is 60 seconds.

60 seconds / 6 seconds = 10

9 beats every 6 seconds x 10 = 90 beats per minute.

The heart rate is 90 beats per minute

Find the length of AB

Answers

Answer:

52

Step-by-step explanation:

AB is the hypotenuse of the right triangle

sin34 = opp/hyp = 29/hyp

hyp = 29/sin34 = 51.860457849...

Answer:

[tex]let \: |ab| \: be \: x \\ \\ \frac{ \sin(90) }{x} = \frac{ \sin(34) }{29} \\ x \sin(34) = 29 \sin(90) \\ x = \frac{29 \sin(90) }{ \sin(34) } \\ x = 51.86(2.d.p) \\ |ab| = 51.86[/tex]

solve the equation -7 x = -28

Answers

-7 x = -28

Divide both sides by -7.

x = 4

Which equation is represented by the graph?

Answers

Answer:

y = -|x + 1| - 4

Step-by-step explanation:

Sarah is going to pay for an item using gift cards. The clerk tells her tht she will need 2 gift cards and as additional $3 to pay for the item.

Write an algebraic equation to find the cost for any amount of gift cards

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Answer:

Step-by-step explanation:

t=2g+3.

Find the equation of the line with slope m
= -1/2 that contains the point (-10, 1).

In slope intercept form

Answers

Answer:

y = - [tex]\frac{1}{2}[/tex] x - 4

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

y -  [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~~~

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

( - 10, 1 )

y - 1 = - [tex]\frac{1}{2}[/tex] [ x - ( - 10 )]

y - 1 =  - [tex]\frac{1}{2}[/tex] x + ( - [tex]\frac{1}{2}[/tex] )(10)

y = - [tex]\frac{1}{2}[/tex] x - 4

Solve using substitution.


6x + y = 7

8x + 9y = 17

(_,_)


Please help me I really need it

Answers

You take the first equation and make a value for y. So 6x + y =7 change it to :
y = -6x + 7
Now in the second equation replace the “y” with -6x +7 this is what it means to use substitution method . Your combined equation will now be :
8x + 9(-6x + 7) =17
Now do distributive property and you get :
8x + -54x +63 =17
Now combine like terms ;
-46x +63 =17
-46x =-46
x = 1
Now replace 1 for X value and we can get the value of Y .
Y=1
X=1

The solution to an inequality is represented by the number line

Answers

Yes inequality is represented in number line

IF
(3x + y = 10
\x-4y=-1
then
n y =

Answers

Answer:

n | 0 | 0 1

| y 2 | 2 y 3 | 3 años

Step-by-step explanation:

Mary is putting money into savings account. She starts with $750 in the savings accounts, and each week she adds $30. Let S represent The total amount of money in the savings account (in dollars), and Let w represent the number of weeks Mary has been equation relating S to W. Then use this equation to find the total amount of money in the savings account after 11 weeks.

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Answer:

$1080

Step-by-step explanation:

s=30w+750

s=30(11)+750

s=330+750

s=1080

What is the perimeter (in feet and inches) of a rectangle that has a length of 12'7" and a height of 11'3"?

Answers

Answer:

p=2l+2w

=2*12'7"+2*11'3"

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Answers

54.895 is your answer

Answer:

54.895

Step-by-step explanation:

hopes it's help you

56-x=728+2x what's the answer?

Answers

56 - x = 728 + 2x

-x - 2x = 728 - 56

-3x = 672

x = 672/-3

x = -224

Hope that helps. If you have any doubts plz let me know.

Answer:

56-x=728+2x

1.) rearrange

[tex]56x = 728 + 2x \\ \ - x + 56 = 728 + 2x[/tex]

[tex] - x + 56 = 728 + 2 x \\ \\ - x + 56 = 2x + 728[/tex]

2.)subtract 56 on both side

[tex] - x + 56 = 2x + 728 \\ \ - x + 56 - 56 = 2x + 728 - 56[/tex]

3.) simplify

[tex] - x = 2x + 672[/tex]

4.)Subtract 2 on both sides

[tex] - x = 2x + 672 \\ \\ - x - 2x = 2x + 672 - 2x[/tex]

5.) simplify

[tex] - x - 2x = 2x + 672 - 2x \\ \\ - 3x = 2x + 672 - 2x \\ \\ - 3x = 672[/tex]

6.)divide both sides on the same equation

[tex] - 3x = 672 \\ \\ \frac{ - 3x}{ - 3} = \frac{672}{ - 3} [/tex]

7.) simplify

[tex]x = - 224[/tex]

8.) answer

[tex]x = - 224[/tex]

if u need any help, just let me know

Which of the following statements are true? Select all that apply. A. 1,000 is both a perfect square and a perfect cube. B. 27 is a perfect cube. C. 6 is neither a perfect square nor a perfect cube. D. 9 is a perfect cube. E. 36 is a perfect square.

Answers

B, C, and E are true

Answer:

C

E

Step-by-step explanation:

Do the following graphs represent a mathematical function? If not, explain why.

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Answer:

1 = YES

2 = NO

Yes, both graphs represent function.

Both graphs pass the vertical line test, because for every x-value, there is at most one y-value.

There is no vertical “overlap” in either graph.

Given the piecewise function shown below, select all of the statements that are true.

Answers

Answer:

f(2)=4

Step-by-step explanation:

[tex]\\ \rm\longmapsto f(x)=x^2,x>1[/tex]

2>1

[tex]\\ \rm\longmapsto f(2)=2^2[/tex]

[tex]\\ \rm\longmapsto f(2)=4[/tex]

if radius of circle is decreased by 50% its area is reduced by

Answers

Answer:

0.25 or 25%

Step-by-step explanation:

because the area of circle is 2πr^2 or two radius times together so that both are decreased by 50%

What is the equation of a line parallel to y=1/3x-4 that passes through (9,8)?

Answers

Step-by-step explanation:

Given line y=1/3x-4

slope of given line m=1/3

Slope of required line :

m=1/3

As lines are parallel then slope of lines are equal.

Using point slope form:

y-y1=m(x-x1)

p(x1,y1)=(9,8)

y-8=1/3(x-9)

3y-24=x-9

x-3y-9+24=0

x-3y+15=0

Note:if you need to ask any question please let me know.

How would I graph this?

Answers

The difference between the two equations is the + 3. This means the vertex of the parabola will move 3 units to the left at the point (-3, 0)

The expression 2x³+ ax² + bx-30 is divisible by x + 2 and leaves a remainder of -35 when divided by 2x-1. Find the values of the constants a and b.
I will give brainliest to correct answer

Answers

Answer:

a = 5, b = - 13

Step-by-step explanation:

The Remainder theorem states that the remainder when f(x) is divided by (x - a) is equal to f(a)

Thus the remainder for division by (x + 2) is zero , then by substituting x = - 2 into the expression.

2(- 2)³ + a(- 2)² + b(- 2) - 30 = 0

2(- 8) + 4a - 2b - 30 = 0

- 16 + 4a - 2b - 30 = 0

- 46 + 4a - 2b = 0 ( add 46 to both sides )

4a - 2b = 46 → (1)

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

Similarly when f(x) is divided by (cx - a) the remainder is f([tex]\frac{c}{a}[/tex] )

The remainder on dividing by (2x - 1) is - 35, then by substituting x = [tex]\frac{1}{2}[/tex]

2([tex]\frac{1}{2}[/tex] )³ + a([tex]\frac{1}{2}[/tex] )² + [tex]\frac{1}{2}[/tex] b - 30 = - 35

2([tex]\frac{1}{8}[/tex] ) + [tex]\frac{1}{4}[/tex] a + [tex]\frac{1}{2}[/tex] b - 30 = - 35 ( add 30 to both sides )

[tex]\frac{1}{4}[/tex] + [tex]\frac{1}{4}[/tex] a + [tex]\frac{1}{2}[/tex] b = - 5 ( multiply through by 4 to clear the fractions )

1 + a + 2b = - 20 ( subtract 1 from both sides )

a + 2b = - 21 → (2)

Solve (1) and (2) simultaneously )

Add (1) and (2) term by term to eliminate b

5a = 25 ( divide both sides by 5 )

a = 5

Substitute a = 5 into (2)

5 + 2b = - 21 ( subtract 5 from both sides )

2b = - 26 ( divide both sides by 2 )

b = - 13

According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). The value of a and b are 5 and -13, respectively.

What is the Remainder theorem?

According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial.

Using the remainder theorem we can write,

f(x) = 2x³+ ax² + bx - 30

f(-2) = 2(-2)³ + a(-2)² + b(-2) - 30 = 0

-16 + 4a - 2b - 30 = 0

4a - 2b = 46   ........ equation 1

f(x) = 2x³+ ax² + bx - 30

f(1/2) = 2(1/2)³ + a(1/2)² + b(1/2) - 30 = -35

(1/4) + a(1/4) + b(1/2) = -35 + 30

(1+a+2b)/4 = -5

1 + a + 2b = -5 × 4

a + 2b = -21   .......... equation 2

Adding the two equations,

4a + 2b + a - 2b = 46 - 21

5a = 25

a = 25/5

a = 5

Substitute the value of a in any one of the equation,

a + 2b = -21

5 + 2b = -21

2b = -21 - 5

2b = -26

b = -26/2

b = -13

Hence, the value of a and b are 5 and -13, respectively.

Learn more about the Remainder Theorem here:

https://brainly.com/question/13264870

#SPJ2

(7 - 1) to the 2 power plus 2 and to the 4 power - 8

Answers

The answer is 56. work is shown below.

Step 1: apply 2nd power to everything inside parentheses

(7 - 1)² = 7² - 1²

Step 2: apply exponents (remember, exponents are a shorter way to express a number multiplied by itself a number of times).

1 x 1 = 1

7 x 7 = 49

Step 3: subtract

49 - 1 = 48

Step 4: apply exponent

2 x 2 x 2 x 2 = (2 x 2) x (2 x 2)

2 x 2 = 4

2 x 2 = 4

4 x 4 = 16

2⁴ = 16

Step 5: add

48 + 16 = 64

Step 6 (final step): subtract

64 - 8 = 56

final answer: 56

Out of 22 cakes baked today, 11 cakes were baked in the morning. What is the ratio of cakes baked in the morning to total cakes?

Answers

Answer:

1/2

Explanation:

22 ÷ 11 = 2

Exactly half of the cakes were made in the morning

Answer:

11:22

Simplified=

1:2

HELP PLEASE DUE TOMORROW

Answers

first one: 1/4
second one: 1/4
last one: 1/4

the scale factor is 1/4 because 8 divided by 2 is 4, meaning that the original triangle is 4 times as big as the scaled one

Answer:

Step-by-step explanation:

first one: 1/4

second one: 1/4

last one: 1/4

8 divided by 2=4 and 4 becmes the denominator

the answer is basicallly 1/4

What grade is this btw

If a metallic cylinder having volume 1540 cm^3 is melted to form cylinder having height 10 cm what is radius of cylinder​

Answers

Answer:

radius is 7 cm

Step-by-step explanation:

formular for volume:

[tex]V = \pi {r}^{2} h [/tex]

r is radius

h is height

[tex]1540 = 3.14 \times {r}^{2} \times 10 \\ {r}^{2} = 49.0 \\ r = 7 \: cm[/tex]

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