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e-lub [12.9K]
3 years ago
12

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

neighbor. Her recipe for granola calls 2 1/2 cups of oats. Does she have enough? How much will she have left over, or how much more will she need?
Mathematics
1 answer:
insens350 [35]3 years ago
6 0

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!

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Given the graph, find the distance of GH. Round to the nearest tenth.
lord [1]

Answer:

GH = 6.3 units

Step-by-step explanation:

Assuming that 1 box represents 1 unit, the coordinate pair of G = (-2, -3), while H = (0, 3).

Distance between G and H = d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

G(-2, -3) = (x_1, y_1)

H(0, 3) = (x_2, y_2)

GH = \sqrt{(0 - (-2))^2 + (3 - (-3))^2}

GH = \sqrt{(2)^2 + (6)^2}

GH = \sqrt{4 + 36} = \sqrt{40}

GH = 6.3 units (nearest tenth)

5 0
3 years ago
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Lunna [17]

Answer:

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Step-by-step explanation:

This is solving for x

Add y to both sides.

−4x=24+y

Divide both sides by -4

and the answer is

x= -24+y/4

THis is solving Y

Add 4x to both sides

−y=24+4x

Multiply both sides by -1

and the answer is  

y=−24−4x

7 0
3 years ago
Find the values of x and y if 5 ˣ⁻³ x 3²ʸ⁻⁸ =225
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Answer:

x = 5, y = 5

Step-by-step explanation:

{5}^{x - 3}  \times  {3}^{2y - 8}  = 225 \\ {5}^{x - 3}  \times  {3}^{2y - 8}  = 25 \times 9 \\  {5}^{x - 3}  \times  {3}^{2y - 8}  =  {5}^{2} \times  {3}^{2}  \\ equating \: like \: power \: terms \: from \: both \:\\ sides \\ {5}^{x - 3}  =  {5}^{2} \\ x - 3 = 2 (Bases\: are\: equal, \: so\: exponents \: \\will\: also\: be\: equal) \\ x = 3 + 2 \\ \huge \red{ \boxed{ x = 5}} \\  \\ {3}^{2y - 8}  = {3}^{2} \\ 2y - 8 = 2(Bases\: are\: equal, \: so\: exponents \: \\will\: also\: be\: equal)  \\ 2y = 2 + 8 \\ 2y = 10 \\ y =  \frac{10}{2}  \\ \huge \purple{ \boxed{y = 5}}

5 0
3 years ago
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goblinko [34]

Answer:

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Step-by-step explanation:

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DENIUS [597]

Answer:

t < \frac{38}{17}

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Dividing '17' on both sides

\frac{17t}{17} < \frac{38}{17}

4 0
3 years ago
Read 2 more answers
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