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2 years ago

What percent is represented by the shaded area? The tape diagram below represents 100%, percent.

Mathematics

1 answer:

Crazy boy [7]2 years ago

8 0

60% is shaded because each box equals 10% and since 6 of them are shaded 10%*6= 60%

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The question is; One kindergartner will be chosen at random to accept a prize. What is the probability that the student is a gir

Flauer [41]

Im pretty sure the answer is A

5 0

2 years ago

A TV that usually sells for $186.67 is on sale for 20% off. If sales tax on the TV is 8%, what is the price of the TV, including

Furkat [3]

Answer:

$161.28288 or $161.28 if rounded

Step-by-step explanation:

first find 10% of the original cost

186.67/10 =18.667

18.667 x 2 = 37.334 (20%)

186.67 - 37.334 = 149.336

to find the tax, mulitple 149.336 x 1.08

1.08 because, 100% of the cost, plus 8% of the cost for tax

= 161.28288

5 0

2 years ago

Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.

blagie [28]

A.
$5x-4=-2(3x+2) \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
5x-4=-2 \times 3x-2 \times 2 \\
5x-4=-6x-4 \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 6x to both sides} \\
11x-4=-4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 4 to both sides} \\
11x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{divide both sides by 11} \\
x=0$

B.
$3(2x-4)=5x-1 \\
6x-12=5x-1 \\
\boxed{11x-12=-1} \Leftarrow \hbox{the first mistake} \\
11x=11 \\
\boxed{x=11} \Leftarrow \hbox{the second mistake}$

Megan's solution isn't correct.
The first mistake: she subtracted 5x from the right-hand side of the equation, but added 5x to the left-hand side.
The second mistake: she divided the right-hand side of the equation by 11, but didn't divide the left-hand side.

The correct solution:
$3(2x-4)=5x-1 \ \ \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
3 \times 2x+3 \times (-4)=5x-1 \\ 6x-12=5x-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{subtract 5x from both sides} \\
x-12=-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 12 to both sides} \\
x=11$

3 0

2 years ago

Answer ,how to do it.

guapka [62]

Answer:

The system has two solutions:

x₁ = 5 ⇒ y₁ = -10

x₂ = -2 ⇒ y₂ = 11

Step-by-step explanation:

Let's solve the system of equations, this way:

y = -3x + 5

y = x ² - 6x - 5

Replacing y in the 2nd equation:

y = x ² - 6x - 5

-3x + 5 = x ² - 6x - 5

x ² - 3x - 10 = 0

Solving for x, using the quadratic formula:

(3 +/- √(9 -4 * 1 * -10))/2 * 1

(3 +/- √9 + 40)/2

(3 +/- √49)/2

(3 +/- 7)/2

x₁ = 10/2 = 5

x₂ = -4/2 = -2

x₁ = 5 ⇒ y₁ = -10

x₂ = -2 ⇒ y₂ = 11

As we can see the system has two different solutions

8 0

3 years ago

This is the angle similarity of triangles btw. I will give brainliest to whoever finds the missing angle measures.

Basile [38]

1: 64
2: 59
3: 49
A triangle should always add up to 180 degrees. So just add up the angles you have and subtract them from 180

8 0

2 years ago

Read 2 more answers