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3 years ago

Pls halp due today >_<. Thank you!

Mathematics

2 answers:

valentinak56 [21]3 years ago

8 0

It is constant because otherwise it wouldn't be proportional

saw5 [17]3 years ago

3 0

It is constant to other qualities

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Briana has 4 1/2 cups of oats. She uses 2 1/4 cups of oats to make oatmeal- raisins cookies, then borrow 1 cup of oats from her

insens350 [35]

Answer:

She has enough with $\frac{3}{4}$ cups left over.

Step-by-step explanation:

For this equation, it's probably easiest to use improper fractions.

At the start, she has 4 $\frac{1}{2}$ cups, or $\frac{9}{2}$ , which can be converted to $\frac{18}{4}$ (which is useful for the next part) by multiplying the numerator and denominator by 2.

When she uses 2 $\frac{1}{4}$ cups, which can be converted to $\frac{9}{4}$ . When subtracting this from the original, you get $\frac{18}{4}$ - $\frac{9}{4}$ = $\frac{9}{4}$ .

She borrows another cup, or $\frac{4}{4}$ of a cup, which gets added on to the previous result, giving $\frac{9}{4}$ + $\frac{4}{4}$ = $\frac{13}{4}$ .

The recipe calls for 2 $\frac{1}{2}$ cups, which can be converted to $\frac{5}{2}$ or $\frac{10}{4}$ .

$\frac{13}{4}$ - $\frac{10}{4}$ = $\frac{3}{4}$ , meaning she has $\frac{3}{4}$ cups left over.

** solving this mainly uses conversion to improper fractions and adding/subtracting fractions, which may be skills you would like to practice. I'm always happy to help!

6 0

3 years ago

State whether each sequence is arithmetic and justify your answer. If the sequence is arithmetic, write a recursive and an expli

nasty-shy [4]

Answer:

Part A

$f(n)=52-12(n-1)$

$f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.$

Part B

$(2,4,8,16,32)\: \:$ Geometric Sequence

Part C

1/4,3/4,5/4,7/4,9/4

$g(n)=\frac{1}{4}+\frac{2}{4}(n-1)\\f(n)=\left\{\begin{matrix}1/4if \: \:n=1 & \\ f(n+1)+2/4& if\: n\geq 2 \end{matrix}\right$

Part D:

$h(n)=1.1+0.4(n-1)\\h(n)=\left\{\begin{matrix}1.1 & if\:n=1 \\ h(n+1)+0.4 & if\:n\geq 2\end{matrix}\right$

Step-by-step explanation:

By definition, an Arithmetic Sequence holds the same difference between each following number.

Part A

$(52,40, 28, 16)\\52-40=12\\40-28=12\\28-16=12\\d=12$

Explicit Formula

To write an explicit formula is to write it as function.

$f(n)=52-12(n-1)$

Recursive Formula

To write it as recursive formula, is to write it as recurrence given to some restrictions:

$f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.$

Part B

$(2,4,8,16,32)\: \:$

Geometric Sequence, since 2*2=4 8*2=16 and 16*2=32 and 8+2=10 8+16=24

Part C

$(\frac{1}{4},\frac{3}{4},\frac{5}{4},\frac{7}{4},\frac{9}{4})\\\$

Arithmetic Sequence, difference

$d=\frac{2}{4}$

Explicit Formula:

$g(n)=\frac{1}{4}+\frac{2}{4}(n-1)$

Recursive Formula

$g(n)=\left\{\begin{matrix}\frac{1}{4} &if\:n=1 \\ g(n+1)+\frac{2}{4} &if\: n\geq 2\end{matrix}\right.$

Part D

(1.1,1.5,1.9,2.3,2.7) Arithmetic Sequence, difference d=0.4

Explicit formula

$h(n)=1.1+0.4(n-1)\\$

Recursive Formula

$h(n)=\left\{\begin{matrix}1.1 &if\:n=1 \\ h(n+1)+0.4 &if\: n\geq 2\end{matrix}\right.$

6 0

4 years ago

What is the value of x when y equals 2 in the equation y equals x over 4 - 7

Alex

The value of x when y = 2 is x = 36

Step-by-step explanation:

The equation that we have in this problem is:

$y=\frac{x}{4}-7$

In order to find the value of x when y is equal to

y = 2

We need to re-arrange the equation making x the subject.

We proceed as follows:

1) We add +7 on both sides:

$y+7=\frac{x}{4}-7+7\\y+7=\frac{x}{4}$

2) Now we multiply both sides by 4:

$4(y+7)=\frac{x}{4}\cdot 4\\x=4(y+7)$

3) Now we can substitute y = 2 and find the value of x:

$x=4(2+7)=4(9)=36$

Learn more about equations:

brainly.com/question/13168205

brainly.com/question/3739260

#LearnwithBrainly

5 0

3 years ago

The sum of three times a number and 28 is 484. Find the number.

Aleksandr [31]

Answer:

152

Step-by-step explanation:

484-28=456

456/3=152

4 0

3 years ago

Read 2 more answers

Simplify: 3(4x+1) Thank you so much

Anvisha [2.4K]

Answer:

the answer is 12x +3

Step-by-step explanation:

6 0

3 years ago