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3 years ago

Using distributive property, factor out the GCF and rewrite 54 + 90

Mathematics

1 answer:

Burka [1]3 years ago

8 0

Answer:

144

Step-by-step explanation:

54+90=144

144-90=54

90+54=144

144-54=90

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3 years ago

If three men working at the same hourly rate are paid a total of $52.08 for a day's work, how much should be paid to five men at

gladu [14]

The five men would be paid $10.41 each at the same hourly rate

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3 years ago

Read 2 more answers

Help please if anyone knows

larisa86 [58]

Part A
To estimate this, we should first look at our fractions and see if they can be combined to form a whole number. In this case, $\frac{3}{5}$ and $\frac{2}{3}$ equal approximately 1. We can add this "1" to the other to full gallons to estimate that the painter needs about 3 gallons.

Part B
To find the exact amount, we should first change the mixed numbers to improper fractions. We do this by multiplying the denominator by the whole number, adding the numerator, and placing that value over the denominator.

$1 \frac{3}{5} \\ \\ (5*1)+3 =8 \\ \\ \frac{8}{5} \\ \\ \\ \\ 1 \frac{2}{3} \\ \\ (3*1)+2=5 \\ \\ \frac{5}{3} 
$

Now, we need to find the least common denominator. This is the lowest value that both denominators will divide evenly into. In this case, that number is 15.

Next, we should multiply both fractions so that the denominator is that number. Remember that we must also multiply the numerator for the fraction to remain equivalent to its original value.

$\frac{8}{5} *3 = \frac{24}{15} \\ \\ \frac{5}{3} *5 = \frac{25}{15}$

Now, we can simply add our numerators.

$25+24=49$

We know that he needs $\frac{49}{15}$ gallons of paint, but this is not in the most simplified format. To simplify, we need to turn our improper fraction back to a mixed number. To do this, we need to divide our numerator by the denominator to create our whole number, and the remainder becomes our new numerator.

$\frac{49}{15} \\ \\ 49 / 15 = 3(Remainder: 4) \\ \\ 3\frac{4}{15}$

Using that logic, we can see that the painter needs exactly $3 \frac{4}{15}$ gallons of paint.

4 0

3 years ago

A video game system costs $185 and one video game costs $14.95. You can spend no more than $280 on the system and games. set up

disa [49]

Answer:

Therefore the maximum number of video games that we can purchase

is 6.

Step-by-step explanation:

i) Let us say the number of video game system we can buy that costs $185

is x and the number of video games of cost $14.95 is y.

ii) The total amount we can spend on the purchase of the video game

system is $280.

iii) Now with the amount of $280 mentioned in ii) we can see that the

number of game systems that can be bought is 1.

Therefore x = 1.

Therefore the equation we can write to equate the number of video

games and video game system is given by $185 + $14.95 × y ≤ 280

Therefore 14.95 × y ≤ 280 - 185 = 95

Therefore y ≤ 95 ÷ 14.95 = 6.355

Therefore the maximum number of video games that we can purchase

is 6.

5 0

3 years ago

What is the greatest common factor you can use to divide the numerator and denominator of the fraction 28/32?

Anastaziya [24]

The greatest common factor is 4.

28/32 / 4 = 7/8

7 0

3 years ago

Using distributive property, factor out the GCF and rewrite 54 + 90​

Using distributive property, factor out the GCF and rewrite 54 + 90