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3 years ago

A cookie recipe for 60 cookies calls for 4 cups of flour. How much flour is needed to make 90 cookies?

Mathematics

2 answers:

Ulleksa [173]3 years ago

3 0

Answer: 6 cups

Step-by-step explanation:

60 cookies = 4 cups

60 + 30 = 90, and half of 60 is 30. So half of 4 cups is 2 cups.

4 cups plus 2 cups is 6 cups!

Nady [450]3 years ago

3 0

Answer:

6 cups

Step-by-step explanation:

because if you / the 60 by 4 you would see that 1 cup = 15 cookies. Then add 15 till you get to 90

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If this particular arithmetic sequence, a7=34 and a15=74. What is the value of a21

Ilya [14]

This is an arithmetic sequence, meaning, to get the next term, you simply add some value to the current one, namely the "common difference" "d".

now, we know the 17th term is 34, let's go to the 15term then

34 + d
34 + d + d
34 + d + d + d
34 + d + d + d + d
34 + d + d + d + d + d
34 + d + d + d + d + d + d
34 + d + d + d + d + d + d + d
34 + d + d + d + d + d + d + d + d

now, notice, we got to the 15th term, which is 34 + d + d + d + d + d + d + d + d, or namely 34 + 8d, it just so happen we know is 74, therefore,

$\bf 34+8d=74\implies 8d=40\implies d=\cfrac{40}{8}\implies \boxed{d=5}$

ok, now that we know what the common difference is, let's find the first term in the sequence using the 7th term of 34,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=7\\
d=5\\
a_7=34
\end{cases}
\\\\\\
a_7=a_1+(7-1)5\implies 34=a_1+(7-1)5
\\\\\\
34=a_1+30\implies \boxed{4=a_1}$

and now let's use those 2 found folks, to get the 21st term,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=4\\
d=5\\
n=21
\end{cases}
\\\\\\
a_{21}=4+(21-1)5\implies a_{21}=4+100\implies a_{21}=104$

3 0

2 years ago

I need to solve for x

Andrei [34K]

Answer:

x = 10

Step-by-step explanation:

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles. The two non-adjacent interior angles opposite the exterior angle are sometimes referred to as remote interior angles.

In the given problem, the exterior angle is < JUV, and its corresponding remote interior angles are < V and < W.

Establish the following equation according to the exterior angle theorem:

< V + < W = < JUV

88° + (5x + 1)° = (14x - 1)°

Solve for x algebraically:

88° + 5x + 1 = 14x - 1

89 + 5x = 14x - 1

89 + 1 + 5x = 14x - 1 + 1

90 + 5x = 14x

90 + 5x - 5x = 14x - 5x

90 = 9x

90/9 = 9x/9

10 = x

Therefore, the value of x = 10.

7 0

2 years ago

What is a 6% increase to $62,900

Luden [163]

6% = 0.06

multiply:

62900*0.06 = 3,774 ( Would be the amount of increase)

add:

62900 + 3774 = 66,674 (would be the new total)

8 0

3 years ago

Write cot θ in reduced fraction form for 26/24

In-s [12.5K]

Exact Form:
13/12
Decimal Form:
1.083
Mixed Number Form:
1 1/12

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3 years ago

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Kaylis [27]

Answer:

834.24.

Step-by-step explanation:

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2 years ago