Manuel saved $375 in 6 months. At this rate, how much will he save in 2 years?

Answer:

Step-by-step explanation:

The unit rate is 50

Hope it helps

9514 1404 393

Answer:

  41 13/40

Step-by-step explanation:

Generally, you're told to multiply mixed numbers by converting each to an improper fraction:

  5 7/10 = (5·10 +7)/10 = 57/10

  7 4/16 = (7·16 +4)/16 = 116/16

The fractions are multiplied by multiplying their numerators to get the numerator of the result, and multiplying their denominators to get the denominator of the result.

  [tex](5\frac{7}{10})(7\frac{4}{16})=\dfrac{57}{10}\cdot\dfrac{116}{16}=\dfrac{57\cdot116}{10\cdot16}=\dfrac{6612}{160}\\\\=41+\dfrac{52}{160}=\boxed{41\frac{13}{40}}[/tex]

__

You don't have to mess with reducing the fraction of the result if you reduce the fraction 4/16 to 1/4 to begin with. Then the product is (57/10)(29/4).

_____

Alternate solution

You can also treat this as the product of two sums. The distributive property is handy for this.

  (5 + 7/10)(7 + 1/4) = (5)(7) +(5)(1/4) +(7/10)(7) +(7/10)(1/4)

  = 35 +5/4 +49/10 +7/40

  = 35 +1 +1/4 + 4 + 9/10 + 7/40 . . . . take out the integer parts

  = 40 +10/40 +36/40 +7/40 . . . . . . use 40 as a common denominator

  = 40 +53/40 = 41 13/40

Answer:

41.325

Step-by-step explanation:

:)

your answers needs to be 20 characters long-

Answer:

0.51

Step-by-step explanation:

Considering the residents aged 50 or over, there are:

This means that there are a total of 3350 people out of the 6509 that meet the required conditions, and thus the answer is 3350/6509, which is about 0.51.

Answer:

  (xy+5)/(xy+3)

Step-by-step explanation:

Given a ratio of rational expressions, you want the simplified version.

The colon separating the two expressions is one of the ways a ratio is written. In this context, it can be replaced by "divided by" (÷). Of course, the division is carried out in the usual way: multiplying by the inverse of the denominator.

The product is simplified by cancelling common factors. This requires each of the polynomials be factored.

  [tex]\dfrac{x^2y^2-4}{x^2y^2+xy-2}\div\dfrac{x^2y^2+xy-6}{x^2y^2+4xy-5}=\dfrac{x^2y^2-4}{x^2y^2+xy-2}\times\dfrac{x^2y^2+4xy-5}{x^2y^2+xy-6}\\\\=\dfrac{(x^2y^2-4)(x^2y^2+4xy-5)}{(x^2y^2+xy-2)(x^2y^2+xy-6)}=\dfrac{(xy-2)(xy+2)(xy-1)(xy+5)}{(xy-1)(xy+2)(xy-2)(xy+3)}\\\\=\boxed{\dfrac{xy+5}{xy+3}}[/tex]

Answer:

Reggie travels a speed of 55 miles an hour

Step-by-step explanation:

Answer:

It moves the line up 3 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

A = s2

A = (8)2

= 64

Option A is the correct answer

Answer:

its not a rational bcs 13 is non recurring decimal and not a perfect square.

Answer:

Step-by-step explanation:

in simple language h(x) = f(x)+ g(x)

=f(x) +g(x)

h(x)=(3x-7)+(-10x+1)

h(x)= 3x-10x-7+1

h(x)=-7x-6 is yournew derived function

Answer:

2. A

3. H

4. D

5. C

6. G

7. E

8. F

Answer:

$4,750.

Step-by-step explanation:

To determine the rental value of the apartment in the tenth year, knowing that it is worth 1,600 during the first year but that it will be adjusted annually to 11.5%, the following calculation must be made:

X = 1,600 x (1 + 0.115) ^ 10

X = 4,751.91

Thus, at ten years, rounded to the nearest tenth, the rental value will be $ 4,750.

The rent of the apartment during the 10th year of living in the apartment is 4,751.9.

Let x represent the rent  of the apartment

Hence:

x= 1,600(1 + 0.115)^10

x=1,600(1.115)^10

x=4,751.9

Inconclusion the rent of the apartment during the 10th year of living in the apartment is 4,751.9.

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Answer:

x=m2-67

Step-by-step explanation:

Answer:

x=m2-67

is the actual answer I

Answer:

^algebra^

#1). a - b=4

a=4 + b .....(equation 1)

#2) a + b=12

(4 + b) + b= 12

4 + b + b=12

4 + 2b=12

2b= 12 - 4

2b =8

b= 8:2

b=4

subtituted b in equation 1

a= 4 + b

a= 4 + 4

a=8

so, the number is 8 and 4

Answer:

Han's mixture, Claire's mixture

Step-by-step explanation:

I figured out the percentage of orange juice for each person's mixture:

For Claire:

2 1/2 + 1/3 = 2 5/6

2 5/6 as a decimal: about 2.8

Now find what percent of Claire's total mixture was orange juice:

100 * 1/3 / 2.8 = about 11.9%

For Han:

1 2/3 + 1/4 = 1 11/12

1 11/12 as a decimal: about 1.9

Now find what percent of Han's total mixture was orange juice:

100 * 1/4 / 1.9 = 13.2%

So, Han's mixture is stronger, since his has the higher percentage of orange juice concentrate

Answer: y-8=8/9(x-9)

Step-by-step explanation:

If it is parallel line that means that their gradient must be the same.

Point slope formula: y - y1 = m (x - x1)

m= gradient

y1 = y point

x1 = x point

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

Answer:

x = 4 or D

Step-by-step explanation:

3x - 6 = 6

Solve for x

3x = 12

x = 4

Answer: 3) two angles are opposite angles

Step-by-step explanation:

Answer:

Angles opposite to congruent sides are congruent.

Step-by-step explanation:

According to a particular theorem:

1) Sides opposite to equal angles are congruent.

2) Angles opposite to equal sides are congruent.

Here, We have been given that LO ≅ PO

So, The angles opposite to these sides will also be equal.

Such that:

∠MOL ≅ ∠NOP

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

The percent of the total calories in each brownie that comes from fat is 26.9%

We know that the total amount of calories in each brownie is 420 calories, so that number represents our 100%, then we can write the relation:

420 cal = 100%

Now, the fat has 113 calories, this is a percentage X that we want to find, so we can write:

113 cal = X

We have the two relations:

113 cal = X

420 cal = 100%

If we take the quotient we get:

(113 cal/420 cal) = X/100%

Solving for X.

(113 cal/420 cal)*100% = X = 26.9%

So, the percent of the total calories in each brownie that comes from fat is 26.9%.

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The two rates that can be used to represent this relationship are:

A ratio is a comparison between two numbers that can be separated with (:) sign or can be represented as a fraction. This comparison deals with the same units.

However,

From the parameters given:

For every 2 cups of barbecue sauce, 4 pounds of pulled pork is used.

Therefore, we can conclude that the two rates that can be used to represent this relationship are:

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Answer:

The other 3 vertices would be (10,5) , (5,0) , and (0,5)

Step-by-step explanation:

Answer:║

             ∨

        A=150in²

Hope this helps :D

Answer:

150 inches

The surface area of a cube is the sum of the areas of its six faces:

area of one face = 5 inches × 5 inches = 25 square inches

surface area of the cube = 6 × 25 square inches = 150 square inches.

Step-by-step explanation:

Answer:

the answer is 32

Step-by-step explanation:

ywwwww

Answer:

the answer is 32..... 32

Answer:

The sample size will be "[tex]102.5494 \sim 102[/tex]". A further explanation is given below.

Step-by-step explanation:

Let the sample size will be:

= n

The given values are:

Standard deviation,

= 1.4

ME,

= 0.3

As we know,

⇒ [tex]n=(Z \frac{a}{2}\times \frac{SD}{E})^2[/tex]

On putting the estimated values, we get

⇒    [tex]=(2.17\times \frac{1.4}{0 .3})^2[/tex]

⇒    [tex]=(\frac{3.038}{0.3})^2[/tex]

⇒    [tex]=102.5494 \sim 102[/tex]

Answer:

For two rectangles to be similar, their sides have to be proportional (form equal ratios). The ratio of the two longer sides should equal the ratio of the two shorter sides.

Step-by-step explanation:

The scores in order from the greatest to the least is 4, 3, 1, 0, -1, -2, -3.

The inequality that shows the relationship between the greatest and least number is 4 > -3.

On the number line, four is greater than -3.

Integers are whole numbers. It is a number without a fraction or decimal component. Integers can either be positive, negative or zero. Examples from integers are 0, -1 and 1.

The farther a positive number is from zero on the number line, the greater the positive number. The closer a negative number is to zero on the number line, the greater the negative number.

For example, 10 is greater than 4 because 4 is closer to 0 when compared to 10. -4 is greater than -10 because -4 is closer to 0 than -10 on the number line.

Here are inequality signs and what they mean:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The sign that would be used to show the relationship between the greatest and the least number is the greater than sign (>)

4 > -3

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Answer:

B. -14

Step-by-step explanation:

sana maka tulong ako sayo

at ano ba ang grade nyo