What’s does 12. 8- 4x = 36 equal?

Jonah picked 2 pounds of strawberries: That afternoon, Jonahs sister ate 2/3 of the strawberries. How many pounds of strawberrie

In-s [12.5K]

Answer: 1.32 lbs

Step-by-step explanation: 2 x .66= 1.32

3 0

3 years ago

Find the surface area of the composite solid. round the answer to the nearest hundredth.

lubasha [3.4K]

The picture in the attached figure

[surface area of the composite solid]=1*(4*6)+2*(4*4)+2*(4*6)+2*(4*√13/2)+2*(6*2√2/2)
[surface area of the composite solid]=24+32+48+4√13+12√2
[<span>surface area of the composite solid]=135.39 yd</span>²

the answer is
135.39 yd²

5 0

4 years ago

You randomly survey students about year-round school. The results are shown in the graph.

Sergio [31]

Answer:

27% and 37%

Step-by-step explanation:

Percentage of students who oppose the year-round school = 68%

Percentage of students who support the year-round school = 32%

Margin of error = ± 5%

We have to set up the absolute valued equation to find the range(least and greatest) percentages of students who could be in favor of year-round school.

Since, the percentage of students who support the year-round school is 32% and the margin of error is 5%, this means, the difference between 32% and the least and greatest possible percentages is 5%. It can be either +5% or -5%

This thing can be expressed as absolute valued equation as:

| x - 32 | = 5

Here x represents the least and greatest percentages.

Expanding the equation, we can write:

x - 32 = -5 or x - 32 = 5

x = -5 + 32 or x = 5 + 32

x = 27% x= 37%

This means the least percentage of students who be in favor is 27% and the greatest percentage of students is 37%.

6 0

3 years ago

An investor invested a total of $3 comma 500 in two mutual funds. One fund earned a 4% profit while the other earned a 2% pro

lesya [120]

Answer:

$2000 invested in first fund

$1500 invested in second fund

Step-by-step explanation:

An investor invested a total of $3,500 in two mutual funds.

Let x be the amount invested in first fund

first fund earned a 4% profit (4%= 0.04)

So interest is 0.04x for first fund

Let x be the amount invested in first fund

first fund earned a 4% profit (4%= 0.04)

So interest is 0.04x for first fund

Let y be the amount invested in second fund

second fund earned a =2% profit (2%= 0.02)

So interest is 0.02y for second fund

An investor invested a total of $3,500 in two mutual funds.

So x+y = 3500----> equation 1

y= 3500-x

the investor's total profit was $110

0.04x + 0.02y = 110----> equation 2

Plug in 3500 -x for y

0.04x + 0.02(3500-x) = 110

0.04x + 70 - 0.02x = 110

0.02x + 70 = 110

Subtract 70 onboth sides

0.02x = 40

Divide both sides by 0.02

x= 2000

y= 3500-x

so y= 3500 - 2000 = 1500

$2000 invested in first fund

$1500 invested in second fund

3 0

3 years ago

The table below shows four systems of equations: System 1 System 2 System 3 System 4 4x − 5y = 2 3x − y = 8 4x − 5y = 2 10x − 7y

Oksana_A [137]

The system b is the same

4 0

4 years ago

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