Alberto’s monthly income is $3,200. Part of Alberto’s monthly budget is shown in the table.
Monthly Budget
Category Amount of Money
Rent $896
Groceries $384
Savings $165
Car payment $428
Utilities $120
What percentage of Alberto’s income is used to pay for his rent and groceries?

Answer:

Explanation:

[tex]\dashrightarrow \sf \left(2^4\right)^2[/tex]

apply exponent rule: [tex]\bold{\left(a^b\right)^c=a^{bc}}[/tex]

[tex]\dashrightarrow \sf 2^{4*2}[/tex]

[tex]\dashrightarrow \sf 2^{8}[/tex]

[tex]\dashrightarrow \sf 256[/tex]

[tex]\large{\boxed{(\sf 2^{4})^2 \ \ = \ \ 256}[/tex]

Answer:

A washer and dryer cost a total of $964 . The cost of the washer is three times the cost of the dryer. Find the cost of each item.

Answer: 96$

Answer:

The washer costs $723 and the dryer $241.

Step-by-step explanation:

Represent the cost of the washer by w and that of the dryer as d.

Then w = 3d.

Since w + d + $964, we get 3d + d = $964, or 4d = $964, or d = $241.

Three times that is $723.

The washer costs $723 and the dryer $241.

Answer:

Class width = 5

Mean = 20.375

Step-by-step explanation:

To find the class widths, find the difference between the upper and lower boundaries.

As there are gaps between the classes, the lower boundaries will be 0.5 less and the upper boundaries will be 0.5 more.

Class width = 10.5 - 5.5 = 5

To find the mean:

The easiest way to do this is to create a table (see attached).

[tex]\textsf{mean}=\dfrac{\sum fx}{\sum f}=\dfrac{815}{40}=20.375[/tex]

Answer:

16.5%

Step-by-step explanation:

The percentage increase in their spending on advertising will be 16.5%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Last year an organization spent a sum of £2400 on publicizing. This year they burned through £2796.

Then the percentage increase in their spending on advertising will be given as,

P = [(2796 - 2400) / (2400)] x 100

P = (396 / 2400) x 100

P = 0.165 x 100

P = 16.5%

The percentage increase in their spending on advertising will be 16.5%.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

Answer:

The answers are the 2nd box, 4th box, and 5th box.

Answer:

3 7/12

Step-by-step explanation:

First find the common denominator.

8,16,24

3,6,9,12,15,18,24

Once you find the common denominator. You have to fix the numerator.

7 2/8 would become 7 6/24

Whole numbers stay the same.

8 x 3 = 24

2 x 3 = 6

Now we repeat it on the other mixed number.

3 2/3 would become 3 16/24

Again whole numbers stay the same.

3 x 8 = 24

2 x 8 = 16

Once you convert the fractions to having the same denominator you subtract like normal.

7 6/24 - 3 16/24 = 3 14/24

3 14/24 can be simplified to 3 7/12

Answer:

[tex]\boxed{3 \dfrac{7}{12}}[/tex]

Step-by-step explanation:

The first step in simplifying the expression is to convert both the fractions into improper fractions [a/b (a > b)].

⇒ [tex]7\dfrac{2}{8} - 3\dfrac{2}{3}[/tex]

⇒ [tex]\dfrac{7 \times 8 + 2}{8} - \dfrac{3 \times 3 + 2}{3}[/tex]

⇒ [tex]\dfrac{56 + 2}{8} - \dfrac{9 + 2}{3}[/tex]

⇒ [tex]\dfrac{58}{8} - \dfrac{11}{3}[/tex]

The next step in simplifying the expression is to make the denominators of both fractions equivalent.

⇒ [tex]\dfrac{58}{8} - \dfrac{11}{3}[/tex]

⇒ [tex]\dfrac{58 \times 3}{8 \times 3} - \dfrac{11 \times 8}{3 \times 8}[/tex]

⇒ [tex]\dfrac{174}{24} - \dfrac{88}{24}[/tex]

The third step in simplifying the expression is to subtract the fractions.

⇒ [tex]\dfrac{174}{24} - \dfrac{88}{24}[/tex]

⇒ [tex]\dfrac{86}{24}[/tex]

The fourth step in simplifying the expression is to simplify the difference of the two fractions.

⇒ [tex]\dfrac{86}{24}[/tex]

⇒ [tex]\dfrac{86 \div 2}{24 \div 2}[/tex]

⇒ [tex]{\dfrac{43}{12}}[/tex]

The fifth step in simplifying the expression is to convert the improper fraction into mixed fraction.

⇒ [tex]{\dfrac{43}{12}}[/tex]

⇒ [tex]{\dfrac{36}{12}} + \dfrac{7}{12}[/tex]

⇒ [tex]3 + \dfrac{7}{12}[/tex]

⇒ [tex]\boxed{3 \dfrac{7}{12}}[/tex]

Answer:

Median: 88, First Quartile: 84, Third Quartile: 92, IQR (interquartile range): 8

Step-by-step explanation:

1. Sort the numbers in numerical order (like 1, 2, 3, etc.)

2. Find the number that is in the middle

3. Find all the quartiles by finding the median of the lower and upper halves of the list

4. Subtract Q1 (quartile 1) and Q3 (quartile 3) like this: Q3 - Q1 to get IQR

I believe the answer is -16x+35

Answer:

No, 90 kg is more

Step-by-step explanation:

90 Kilograms is about 198 pounds while 90,000 milligrams is about 0.198 of a pound

Answer:

No 90kg is greater  

Step-by-step explanation:

1000mg= 1 g

90,000/1000= 90

100g= 1 kg

90/100= 0.9kg

Answer:

Smaller

Step-by-step explanation:

Because 7/8 is less than 1 and the sides are smaller which makes the volume smaller

:thumbsup:

Answer:

11.11%

Step-by-step explanation:

C.P = $8,100

S.P =$30 ×300

=$9,000

Markup = $9000-$8100

=$900

% markup = 900/8100 × 100

=11.11%

Answer:

x= -2

Step-by-step explanation:

Make denominator same

3*(x+10)/12 - 2*(x-10)/12 = 6*(x+10)/12

denominators are same so numerators has to same as well

3*(x+10)-2*(x-10)=6*(x+10)

expand brackets

3x+30-2x+20 = 6x+60

x+50=6x+60

x-6x=60-50

-5x=10

x= -2

Answer:-4,000/ -20

Step-by-step explanation:

hopefully this is right, so you have multiple choice and if so is this up their?

Answer:

198

Step-by-step explanation:

Answer:

(1,0)

PLEASE mark me brainliest!!

Answer:

1, 0

Step-by-step explanation:

Answer:688

Step-by-step explanation:600+(11x8)=x

x=total

600+88=x

x=688

Answer:

i guess 36 ft in cubic feet

Step-by-step explanation:

= 8 x 9/2

= 4 x 9

= 36

Answer:

The distance between points A and C is 275000 kilometers

Answer:

67 because it is closer to 67 than other options

Answer:

67 B

Step-by-step explanation:

Answer:

y = 0 , y = - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

- 32y² - 24y = 0 ← factor out - 8y from each term

- 8y(4y + 3) = 0 equate each factor to zero and solve for y

- 8y = 0 ⇒ y = 0

4y + 3 = 0 ⇒ 4y = - 3 ⇒ y = - [tex]\frac{3}{4}[/tex]

Answer:

2

Step-by-step explanation:

The graient is 2 as gradient = diffrence of y/diffrence in x

x,y

take two points 1,0 and 2,2 and put them into the equation

2-0/2-1 = 2

Answer:

slope = 2

Step-by-step explanation:

calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (6, 10) ← 2 points on the line

m = [tex]\frac{10-0}{6-1}[/tex] = [tex]\frac{10}{5}[/tex] = 2

Answer:

0.78

Step-by-step explanation:

P(R)=22/100=0.22

R=1

1-0.22=0.78

According to a weather report on the probability that it will rain tomorrow, the probability that it will not rain tomorrow is 89%.

Probability is simply the likelihood that something or an event is to happen.

Now, the probability that an event will not occur is one minus the probability that the event will occur.

Given the data in the question;

The probability that it will not rain tomorrow is one minus probability that it will rain tomorrow.

p⁰ = 1 - p

p⁰ = 1 - 11%

p⁰ = 1 - ( 11 / 100 )

p⁰ = 1 - 0.11

p⁰ = 0.89

p⁰ = 89%

Therefore, According to a weather report on the probability that it will rain tomorrow, the probability that it will not rain tomorrow is 89%.

Learn more about probability here: https://brainly.com/question/11234923

Answer:

B) 5.375

Step-by-step explanation:

The circles are half the square so their diameter will be half the length of the square

d=5/2=2.5

the formula is

area of shaded portion-area out unshaded portion

area of a square= l×l

5×5=25

area of a circle=πr^2

but since there are 4 circles it becomes 4πr^2

r=d/2=2.5/2=1.25

area of unshaded portion= 4×3.14×1.25×1.25

=19.625

area of leftover=25-19.625

= 5.375

Answer:

The diameter would be 29.98 kilometers.

Step-by-step explanation:

We know that our circumference is pi * diameter, so we just have to divide 94.2 by pi to solve.

Answer:

30 km

Step-by-step explanation:

We can use the below formula to find the diameter of a circle.

C = π × d

Here,

C ⇒ circumference ⇒ 94.2 km

d ⇒ diameter

To find the diameter make d as the subject in the above formula.

d = C / π

d = 94.2 / 3.14

d = 30 km

Answer:

B. 45

Step-by-step explanation:

Simplyfy 74*25

1850

Now blug in all the values for the "?".

83250/45=1850

This is the only value that staifies this equaton so therefore, B 45

Answer:

45.

Step-by-step explanation:

83250/x=74*25

83250/x=1850

1850 * x = 83250

x = 83250 /1850

= 45

Answer:4(3x+4y)

Step-by-step explanation: the gcf of 12x+16y is 4. we factor out 4 by dividing both terms by 4.

Answer:

[tex]4(3x+4y)[/tex]

Step-by-step explanation:

Hey there!

This would be the correct answer because the GCF of 12 and 16 is 4.

Now that we know that it is 4 we can divide the eqiasion by 4 and  then you get

[tex]4(3x+4y)[/tex]

If you need to ckeck if this answer is corret then you will need to use the distributive property to distribute 4 to 3y and 4y.

The equasion would then look like this

[tex](4(3x)) (4(4y))[/tex]

Next you would need to solve the equasion to get the origional equasion

[tex]12x+16y[/tex]

Answer:

Answer: First portion is greater than second portion.

Step-by-step explanation:

Time taken to hiked down a trail = 10 minutes

Change in elevation = (-) 170 feet

Speed is given by

\begin{gathered}Speed=\frac{Distance}{Time}\\\\Speed=\frac{170}{10}\\\\Speed=17\text{ feet per minute}\end{gathered}

Speed=

Time

Distance

Speed=

10

170

Speed=17 feet per minute

Similarly,

Time taken to hiked down a trail = 20 minutes

Change in elevation = (-)220 feet

Speed is given by

Speed=\frac{Distance}{Time}Speed=

Time

Distance

\begin{gathered}Speed=\frac{220}{20}\\\\Speed=11\text{ feet per minutes}\end{gathered}

Speed=

20

220

Speed=11 feet per minutes

So, we can see that first portion of the hike where he hiked down a trail at a steady rate for 10 minutes and her change in elevation was (-) 170 feet, was her rate of change in elevation greater.

As 17 feet per minutes is greater than 11 feet per minutes.

Answer:

That's just the way of the world

Somewhere in the world, they think they're working for themselves

They get up everyday to go to work for someone else

And somebody works for them and, so, they think they got it made

But they're all just working to get paid the very same

And so, they keep on twiddlin' them thumbs.

Answer:

49(1) - 2 =

49x1=49

49 - 2 = 47 is your answer

Answer:

47

__________________________________________________________

If the variable, x has an assigned value, you must multiply the number behind x by the assigned value.

[tex]49 * 1 = 49[/tex]

Lastly, subtract by 2

[tex]49 - 2 = 47[/tex]

________________________________________________________

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