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3 years ago

An equation is shown below:

Mathematics

1 answer:

stepladder [879]3 years ago

5 0

There is no solution to the equation.
The x is cancelled out.

See attachment file below.

Hope it helped!

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Students surveyed boys and girls separately to determine whether they wanted outdoor

vazorg [7]

Answer:

111 girls

Step-by-step explanation:

Given

Boys: Every 17 outdoor ≈ 20 indoor

Girls: 3:2 outdoor to indoor

First, we'll determine the ratio of outdoor to indoor for boys;

Recall that;

17 choose indoor while 20 choose outdoor;

The ratio of outdoor to indoor is;

20 : 17

Convert to fraction:

$\frac{20}{17}$

Let x represent number of boys that choose indoor when 85 boys chose outdoor;

The ratio of outdoor to indoor is;

x : 85

Convert to fraction

$\frac{x}{85}$

Equate both fractions

$\frac{20}{17} = \frac{x}{85}$

Multiply both sides by 85

$85 * \frac{20}{17} = \frac{x}{85} * 85$

$85 * \frac{20}{17} = x$

$\frac{1700}{17} = x$

$100 = x$

$x = 100$

This implies that when 85 chose outdoor, 100 chose indoor for boys;

Total = 100 + 85

Total = 185 boys surveyed

Recall that the question says the same number of boys and girls were surveyed

This implies that

Total Girls Surveyed = 185

For the girl ratio;

Outdoor to Indoor= 3:2

Number of girls that chose outdoor is as follows;

$Outdoor = \frac{3}{3 + 2} * Total$

$Outdoor = \frac{3}{3 + 2} * 185$

$Outdoor = \frac{3}{5} * 185$

$Outdoor = \frac{555}{5}$

$Outdoor = 111$

Hence, the number of girls that chose outdoor is 111

4 0

3 years ago

A new bank customer with 3,000 wants to open a money market account the bank is offering a simple interest rate of 1.8% how much

Tcecarenko [31]

Answer:

$3540

Step-by-step explanation:

See explanation

Step-by-step explanation:

The Simple Interest will be calculated as:

= P × R × T

= $3000 × 1.8% × 10.

= $3000 × 0.018 × 10

= $540

The interest that the customer earn in 10 years is $540.

Then, the account balance after 10 years will be:

= Principal + Interest

= $3000 + $540

= $3540

Therefore, the account balance will be $3540

5 0

3 years ago

The sum of 4 consecutive integers is 354. What is the second number in this sequence?

Ulleksa [173]

354 / 4 = 88.5

so2 numbers below that and 2 numbers above that:

87 + 88 + 89 +90 =

2nd number is 88

8 0

3 years ago

Explain how to solve -4(1.75 + x) =18

kobusy [5.1K]

Answer:

first change any decimal to a whole. -4(175+x)=18. Then times -4 by 175 and x, -700+ 4x =18. Then add +700 to -700 which equals just 4x ,then add +700 to 18, which is 4x = 718. then divide both sides by 4 and estimate. x= 180

Step-by-step explanation:

8 0

3 years ago

You work at a fruit market. Bananas cost 50¢ a pound. A customer hands you a bunch of bananas that

mixas84 [53]

Cost per pound: 50 ¢.
Weight: 3 pounds

Total cost: 3x50 = 150 ¢

5 0

3 years ago

Read 2 more answers