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irakobra [83]
2 years ago
12

Write the numeral 0.0284 × 10^4 in scientific notation. A. 28.4 × 101 B. 0.284 × 103 C. 2.84 × 102 D. 284

Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
7 0

Answer:

2.84×10²

Step-by-step explanation:

0.0284×10⁴

Move the decimal point 4 places to the right.

284

Now write in scientific notation by moving the decimal point 2 places to the left, behind the 2.

2.84×10²

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Warren brought $41.50 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1 6 as much as th
melomori [17]

Answer:

Warren paid $2.5 for the brush, $15 for the sketchbook and $20 for the paint set.

Step-by-step explanation:

If Warren went to the store with $41.5 and left with only $4 then the total amount he spent on the store was:

total spent = 41.5 - 4 = 37.5

Since he bought a brush, a sketchbook and a paint set we have:

brush + sketchbook + paint = 37.5

The prices of each item are related in the following manner:

brush = (1/6)*sketchbook

sketchbook = (3/4)*paint

brush = (1/6)*(3/4)*paint = (3/24)*paint = (1/8)*paint

Using these expressions on the one that represents the total value we will be abble to have only one variable, paint. We have:

(1/8)*paint + (3/4)*paint + paint = 37.5

(1/8)*paint + (6/8)*paint + (8/8)*paint = 37.5

(15/8)*paint = 37.5

paint = 37.5/(15/8) = 37.5*(8/15) = 20

brush = (1/8)*paint = (1/8)*20 = 2.5

sketchbook = (3/4)*paint = (3/4)*20 = 15

Warren paid $2.5 for the brush, $15 for the sketchbook and $20 for the paint set.

6 0
3 years ago
Read 2 more answers
Two identical blue boxes together weigh the same as three identical red boxes together. Each red box weighs 15.2 ounces. How muc
Westkost [7]

Answer:

Each blue box weighs 22.8 ounces

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
If the ratio of three angles of a triangle is 2:3:4 find the size of the largest angle​
Murljashka [212]
Answer: 80°

Step-by-Step Explanation:

By Angle Sum Property of a Triangle, all angles in a Triangle add up to 180°

Finding the Value of ‘x’ :-

2x + 3x + 4x = 180
5x + 4x = 180
9x = 180
x = 180/9
=> x = 20

Finding each Angle :-

2x = 2(20) = 2 * 20 = 40°
3x = 3(20) = 3 * 20 = 60°
4x = 4(20) = 4 * 20 = 80°

Hence, the Largest Angle is 80°
3 0
1 year ago
Consider the function f(x)=x^2+2x-8
sattari [20]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

function   f(x) = x² + 2x - 8

-See the graph below

1) x-intercepts

We observe in the graph that there are no x-intercepts.

2) y-intercepts

We observe in the graph that the y-intercept is (0, 8). Point A

3) axis of symmetry

The axis of symmetry is the line that divides the parabola into two equal parts. This line is x = -1 (blue line)

4) The vertex is the lowest point of the parabola, this point is (-1, 7)

Point B in the graph.

8 0
3 years ago
If using the method of completing the square to solve the quadratic equation x2 - 6x – 7 = 0, which number would have to be adde
Vanyuwa [196]

Answer:

(-3)^2

Step-by-step explanation:

You add 7 on both sides, giving you x^2 - 6x = 7

Then, take half of b, and square it. Giving you x^2 - 6x +(-3)^2 = 7

The answer will be (-3)^2 for this question, but this is not the full solution.

Hope this helped. Good luck on the rest!

3 0
2 years ago
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