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frosja888 [35]
3 years ago
14

What is the answer to a,b, and c? Thanks!

Mathematics
1 answer:
Katarina [22]3 years ago
6 0

The area of a triangle can be calculated as half the product of base length and height. We want the area to be no greater than 10 in².

a) (1/2)(4)(2x-3) ≤ 10

b) 4x -6 ≤ 10 . . . . . simplify

... 4x ≤ 16 . . . . . . . .add 6

... x ≤ 4 . . . . . . . . . divide by the coefficient of x

c) The maximum value of (2x -3) in is (2·4 -3) in = 5 in.

The triangle should be no more than 5 in high to have an area less than 10 in².

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you are in the research and development department at Jiffy Pop. the company is trying to come up with the new and improved popc
Monica [59]
Let L be the length of the box that the company aims to manufacture. With this representation, the width of the box is equal to L - 2 and the height is equal to L + 5. The volume of the box is equal to the product of the length, width, and height. That is,
                          A = L x (L - 2) x (L + 5) = 24

The value of L from the equation is 3 inches. 

The dimension of the box are as follow: 
length = L = 3 inches
width = L - 2 = 1 inch
height = L + 5 = 8 inches

7 0
3 years ago
Emily has a bag of 20 fruit flavour sweets. 7 of the sweets are strawberry flavour, and 11 are lime flavour.
ycow [4]

Answer:

e

Step-by-step explanation:

4 0
3 years ago
what is the common ratio of the geometric sequence below? –96, 48, –24, 12, –6, ... a, -2 b,-1/2 c, 2 d, 1/2
marysya [2.9K]

Answer:

Option b is correct.

The common ratio for the given geometric sequence is; \frac{-1}{2}

Step-by-step explanation:

The given sequence is;  -96, 48 , -24, 12 , -6, .....

Since, given sequence is Geometric

Geometric Sequence in which each term is found by multiplying the previous term by a constant(i.e common ratio)

In general we write geometric sequence as;

a , ar, ar^2, ar^3 , .....

where a be the first term and r is the common ratio.

On comparing the given sequence with general geometric sequence;

we get

a = -96                  ......[1]

ar = 48                   ......[2]

ar^2 = -24              .....[3]

and so on....        

To find the common ratio i.e, r;

Divide equation [2] by [1];

\frac{ar}{a} =\frac{48}{-96}

Simplify:

r = \frac{-1}{2}

Similarly,

by dividing the equation [3] by [2] we get;

\frac{ar^2}{ar} = \frac{-24}{48}

Simplify:

r = \frac{-1}{2}

As, you can see that the value of r is constant i.e, r= \frac{-1}{2} in the given sequence.

Therefore, the common ratio for the given geometric sequence is; r= \frac{-1}{2}


8 0
3 years ago
Read 2 more answers
Help!! Pleaseeeeeee this us urgent!!!!
zimovet [89]

Answer:

I will send you a link for desmos, the only way I can show you

Step-by-step explanation:

desmos.com/calculator/sjwbssn5xm

6 0
3 years ago
The base area of a prism is 140 square feet. Its height is 6 feet. What is the volume of the prism? A. 280 ft3 B. 840 ft3 C. 420
MakcuM [25]
You already have the base area, so to work out the volume, you just multiply 140 by 6.

Therefore, the answer is B. 840 ft³ :) 
7 0
3 years ago
Read 2 more answers
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