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ehidna [41]
3 years ago
13

Kasey and her sister both sold cookie dough. Her sister sold three times as many tubs of cookie dough. If they sold a total of 8

8 tubs of cookie dough, then how many tubs of cookoe dough did Kasey sell, k?
Mathematics
1 answer:
Rufina [12.5K]3 years ago
7 0
X= number of tubs Kasey sold
3x= number tubs sister sold

Add the number sold by Kasey and her sister to equal the total sold (88).

x + 3x= 88
combine like terms

4x= 88
divide both sides by 4

x= 22 number tubs Kasey sold


Number Sold by Sister
3x= 3(22)= 66


CHECK:
x + 3x= 88
22 + 3(22)= 88
22 + 66= 88
88= 88


ANSWER: Kasey sold 22 tubs and her sister sold 66 tubs.

Hope this helps! :)
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The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its
Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

<em>Shape: Triangle</em>

<em>Represent the height with h and the base with b</em>

b = 3 + 2h

Area = 22

Required

Find the length of the base

The area of a triangle is calculated as thus;

Area = \frac{1}{2} * b * h

Substitute 22 for Area and 3 + 2h for b

The formula becomes

22 = \frac{1}{2} * (3 + 2h) * h

Multiply both sides by 2

2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h

44 = (3 + 2h) * h

Open the bracket

44 = 3 * h + 2h * h

44 = 3h + 2h^2

Subtract 44 from both sides

44 - 44 = 3h + 2h^2 - 44

0 = 3h + 2h^2 - 44

Rearrange

0 = 2h^2 +3h - 44

2h^2 +3h - 44 = 0

At this point, we have a quadratic equation; which is solved as follows:

2h^2 +3h - 44 = 0

2h^2 + 11h - 8h - 44 = 0

h(2h + 11) - 4(2h + 11) = 0

(h - 4)(2h + 11) = 0

Split the above

(h - 4) = 0\ or\ (2h + 11) = 0

h - 4 = 0\ or\ 2h + 11 = 0

Solve the above linear equations separately

h - 4 = 0

Add 4 to both sides

h - 4 + 4 = 0 + 4

h = 0 + 4

h = 4 ---- <em>First value of h</em>

2h + 11 = 0

Subtract 11 from both sides

2h + 11 - 11 = 0 - 11

2h  = 0 - 11

2h = -11

Divide both sides by 2

\frac{2h}{2} = -\frac{11}{2}

h = -\frac{11}{2}<em> ------ Second value of h</em>

Since height can be negative, we'll discard h = -\frac{11}{2}

Hence, the usable value of height is h = 4

Recall that b = 3 + 2h

Substitute 4 for h

b = 3 + 2(4)

b = 3 + 8

b = 11

Hence, the length of the base is 11 meters

3 0
3 years ago
What is 4x when x=6, I’m having difficulties doing this work?
ANEK [815]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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Answer:

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x

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8 0
3 years ago
Please help with this
zzz [600]

Answer:

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Step-by-step explanation:

The area of the blue section is x * x = x².

Pink: x * 7 = 7x

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When we add these up we get x² + 12x + 35. Hope this helps!

7 0
3 years ago
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irakobra [83]

Answer:

There’s only one way to get 12 when 2 dice are tossed, both have to equal 6. There are 6 ways tossing a single die can come out (1,2,3,4,5,6), so if you toss dice, the second die could have any one of six values with each of the numbers that could result from the first toss (e.g., 1 from die 1 and 1,2,3,4,5, or 6 from die 2). So, considering there are 6 ways to fill each of two slots, there are 6 x 6 = 36 possible outcomes of tossing two dice. Only one of them equals 12, so p(12 given 2 dice tossed) = 1/36 = 0.02777777777778.

3 0
3 years ago
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