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kramer
3 years ago
13

Grace is making holiday cards. Each rectangular card has an area of 28 square inches and the length is 3 inches more than the wi

dth. Find the length and width of her cards.
Mathematics
1 answer:
melomori [17]3 years ago
3 0
Length=7
Width =4
Area = length x width
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Can someone help me with this problem? Thank you!
vesna_86 [32]

Answer: the answer is 180 in^{2}

Step-by-step explanation:

Area of a rectangle multiply length times base. 15 x 12 = 180. Hope this helps!

6 0
2 years ago
The sum of the first n consecutive even numbers can be found using S=n2+n, where n≥2. What is the value of n when the sum is 42?
lawyer [7]

Answer:

  • C. 6

Step-by-step explanation:

<u>Given</u>

  • S = n² + n
  • S = 42, n = ?

<u>Substitute and solve for n:</u>

  • 42 = n² + n
  • n² + 2*1/2n + 1/4 = 42.25
  • (n + 0.5)² = 42.25
  • n + 0.5 = √42.25
  • n + 0.5 = 6.5
  • n = 6

Correct option is C

5 0
3 years ago
Read 2 more answers
A plant grows the same amount every week. Which graph matches the situation described? b e .​
dem82 [27]

Answer:

Option A

Step-by-step explanation:

Let the height of plant is 'b' units.

Graph representing the height of the plant will have y-intercept = b units

Since, the plant is growing at the same rate every week,

And growth of the plant is continuous.

Therefore, graph will be a straight line and continuous.

Since, the height of the plant is always increasing,

Slope of the line will be positive.

Option A will be the answer.

8 0
3 years ago
A ball is hurled in the air such that its horizontal (x) and vertical (y) shifts are given by the functions x(t) = 20t and y(t)
Viefleur [7K]

x(t) = 20t

y(t) = 40t - 5t^2

Since we are only interested in comparing the two at time t = 5 seconds, we plug in 5 everywhere we see the variable t and then compare x and y

x(5) = 20(5) becomes x(5) = 100

y(5) = 40(5) - 5(5)^2 becomes y(5) = 200 - 125 and then y(5) = 75

The ratio of y to x can be expressed as: y/x, so we can say the ratio is equal to 75/100 or 0.75

Answer: 0.75

7 0
4 years ago
What is equivalent to 3 radical 8
liq [111]

Answer:

C. 8^x/3

Step-by-step explanation:

According to algebraic principles, if n is the root of a number, then that number to the power of 1/n is equal to it. This would mean that n√a = a^1/n.

This would mean that 3√8 = 8^1/3. When there is a power added to a radical expression such as this, that power will go on the denominator. So (3√8)^2 for example is equal to 8^2/3, and in your case, (3√8)^x = 8^x/3

looking back on the fact that this was added 2 days ago i dont think this helped on your quiz

6 0
4 years ago
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