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svp [43]
3 years ago
9

a recipe for cookies calls for 10 1/6 cups of sugar. krystal has already put in 4 2/3 cups. how many more cups does she need to

put in
Mathematics
1 answer:
DENIUS [597]3 years ago
6 0

Answer:

5 1/2 cups

Step-by-step explanation:

10 1/6 = \frac{61}{6} cups

10 x 6 + 1

\frac{61}{6}

4 2/3 = \frac{14}{3} cups

4 x 3 + 2

\frac{14}{3}

Find a common denominator (6)

\frac{14}{3} = \frac{28}{6}

\frac{14}{3} · 2 = \frac{28}{6}

\frac{61}{6} - \frac{28}{6} = \frac{33}{6}

\frac{33}{6} or 5 1/2 cups

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The point (12, 5) is <br> units from the origin.
Taya2010 [7]

Answer: 13

Step-by-step explanation:

The distance d is given by the Pythagorean Theorem

d² = 12² + 5²

We don't have to calculate anything if we remember that 5/12/13 is the second triple on the list, right after 3/4/5.

7 0
3 years ago
Which are correct representations of the inequality –3(2x – 5) &lt; 5(2 – x)? Select two options.
avanturin [10]

The correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

The given inequality is -3(2x - 5) < 5(2 - x)

We need to simplify the inequality.

<h3>What is inequality?</h3>

In mathematics, inequality is a statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

Consider LHS and simplify -3(2x - 5) = -3(2x)-5(-3)

⇒ -3(2x - 5) = - 6x + 15 [∵(-)(-) = (+)]

Consider RHS and simplify 5(2 - x) = 5(2) + 5(-x)

⇒5(2 - x) = 10 - 5x [∵(+)(-) = (-)]

Now, - 6x + 15 < 10 - 5x

By subtracting 15 from both sides, we get

- 6x < -5 - 5x

By adding 5x to both sides, we get - x < - 5

The coefficient of x is -1. So, divide both sides by -1

Then we get x > 5

Hence, the correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

To learn more about inequalities visit:

brainly.com/question/20383699.

#SPJ1

5 0
2 years ago
How much did jennie earn if she got $40 for babysitting plus a 15% tip
vazorg [7]

Answer:

$46

Step-by-step explanation:

100% of 40 is 40. 10 percent of 40 is 4. 5% of 40 is 2. 40+4+2=46.

7 0
3 years ago
Suppose that a bond has a face value of ₱ 100,000 and its maturity date is 10 years from now. The coupon rate is 5% payable semi
horsena [70]

Answer:

Bond Price​= $108,175.71

Step-by-step explanation:

Giving the following information:

Face value= $100,000

Coupon rate= 0.05/2= 0.025

YTM= 0.04/2= 0.02

Time period= 10*2= 20 semesters

<u>To calculate the price of the bond, we need to use the following formula:</u>

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price​= 2,500*{[1 - (1.02^-20)] / 0.02} + [100,000/(1.02^20)]

Bond Price​=  40,878.58 + 67,297.13

Bond Price​= $108,175.71

8 0
3 years ago
Help please I dont understand ill mark u
iren2701 [21]

Answer:

Part A would be the answer A because it is $7.50 per book which means we will have to multiply

Step-by-step explanation:

Part B, if the camp leader has 12 campers that means she will need to buy books for each (12 x 7.50) which will give you a total of $90

4 0
3 years ago
Read 2 more answers
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