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Anuta_ua [19.1K]

3 years ago

7

At 55mph how many minutes rounded to the nearest whole number 310 miles from boston to syracuse

1 answer:

Crank3 years ago

7 0

338 minutes.................

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There were 180 students in attendance at the dance. If there were 32 more boys than girls at the dance, how many girls and boys

babymother [125]

$\huge\boxed{\text{$74$ girls}}\ \huge\boxed{\text{$106$ boys}}$

Hey there! This situation can be modeled and solved using a system of equations. We'll use $b$ to represent the number of boys and $g$ to represent the number of girls.

$\displaystyle{\left \{ {{b+g&=180} \atop {b&=g+32} \right.}$

Since we know what $b$ equals, we can substitute it into the first equation.

$\begin{aligned}b+g&=180\\(g+32)+g&=180&&\smash{\Big|}&&\text{Substitute.}\\2g+32&=180&&\smash{\Big|}&&\text{Combine like terms.}\\2g&=148&&\smash{\Big|}&&\text{Subtract $32$ from both sides.}\\g&=74&&\smash{\Big|}&&\text{Divide both sides by $2$.}\end{aligned}$

Now that we know the number of girls, use the second equation to get the number of boys.

$\begin{aligned}b&=g+32\\&=74+32&&\smash{\Big|}&&\text{Substitute.}\\&=106&&\smash{\Big|}&&\text{Add.}\end{aligned}$

8 0

3 years ago

If the sum of x and y is 90 and y is 6 more than four times x, which of the following systems of equations could be used to solv

marishachu [46]

Answer:

B

Step-by-step explanation:

x + y =90

y= 4x +6

_______

x + y = 90

4x − y = -6

8 0

2 years ago

25% of the 96 coffee mugs at Oscar's Pancake House are dirty. How many dirty coffee mugs are there at the pancake house?

Anika [276]

Answer:

24 coffee mugs are dirty

Step-by-step explanation:

because 25% of 96 is 24

8 0

3 years ago

Simplify the expression: 4(x + 3) = 40

diamong [38]

Answer:

x=7

Step-by-step explanation:

4x+12=40

-12

4x=28/4

8 0

2 years ago

Read 2 more answers

The Social Security Administration increased the taxable wage base from $106,800 to $110,100. The 6.2% tax rate is unchanged. Jo

Rzqust [24]

Answer:

The Social Security Administration increased the taxable wage base from $106,800 to $110,100.

A:

The percent increase in the base =

$\frac{110100-106800}{106800}\times100=3.09$ %

B:

Previous year tax = $0.062\times106800=6621.60$ dollars

This year tax = $0.062\times110100=6826.20$ dollars

Increase in tax = $6826.20-6621.60=204.60$ dollars

Hence, Joe’s increase in Social Security tax for the new year is $204.60.

5 0

3 years ago