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4 years ago

6

Kelly made 6 batches of cookies. Her friend asked her to make an extra batch . She used 17 1/4 cups of sugar and needs another 7

/8 cups for the extra batch.How many cups of sugar will Kelly use altogether

1 answer:

Bess [88]4 years ago

7 0

Answer:

Kelly needs 24 3/4 cups of sugar altogether.

Step-by-step explanation:

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Angelica painted 1/20 of her bedroom walls in 1/2 an hour. How long will it take Angelica to paint her whole bedroom?

julsineya [31]

Angelica would have painted the bedroom in 20 hours if every hour she painted 1/20. But she doesn't paint 1/20 of a room per hour but rather 30 minutes. That means it will take her 10 hours to paint the whole room.

Hope this helps.

4 0

3 years ago

Read 2 more answers

Eight more than twice a number is less than twenty (what is the expression)

blsea [12.9K]

eight more than twice a number is less than twenty (what is the expression)

2x+8 <20

4 0

3 years ago

Solve each inequality, and then drag the correct solution graph to the inequality.

Nesterboy [21]

The correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

(NOTE: The graphs are labelled A, B and C from left to right)

For the first inequality,

$4(9x-18)>3(8x+12)$

First, clear the brackets,

$36x-72>24x+36$

Then, collect like terms

$36x-24x>36+72\\12x >108$

Now divide both sides by 12

$\frac{12x}{12} > \frac{108}{12}$

∴ $x > 9$

For the second inequality

$-\frac{1}{3}(12x+6) \geq -2x +14$

First, clear the fraction by multiplying both sides by 3

$3 \times[-\frac{1}{3}(12x+6)] \geq3 \times( -2x +14)$

$-1(12x+6) \geq -6x +42$

Now, open the bracket

$-12x-6 \geq -6x +42$

Collect like terms

$-6 -42\geq -6x +12x$

$-48\geq 6x$

Divide both sides by 6

$\frac{-48}{6} \geq \frac{6x}{6}$

$-8\geq x$

∴ $x\leq -8$

For the third inequality,

$1.6(x+8)\geq 38.4$

First, clear the brackets

$1.6x + 12.8\geq 38.4$

Collect likes terms

$1.6x \geq 38.4-12.8$

$1.6x \geq 25.6$

Divide both sides by 1.6

$\frac{1.6x}{1.6}\geq \frac{25.6}{1.6}$

∴ $x \geq 16$

Let the graphs be A, B and C from left to right

The first graph (A) shows $x\leq -8$ and this matches the 2nd inequality

The second graph (B) shows $x \geq 16$ and this matches the 3rd inequality

The third graph (C) shows $x > 9$ and this matches the 1st inequality

Hence, the correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

Learn more here: brainly.com/question/17448505

8 0

3 years ago

Use the relationship between the angles in the figure to answer the question.

Galina-37 [17]

Answer:

The answer is the option $x+49\°+28\°=180\°$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

we know that

$m$

$m$ -----> by vertical angles

$m$ -----> given problem

$m$ -----> given problem

substitute

$28\°+x+49\°=180\°$

5 0

3 years ago

Read 2 more answers

The sum of two and three times the difference of a number and five is equal to four times the difference a number and one.

Andru [333]

Answer:

$x=-9$

Step-by-step explanation:

We translate the phrase into an equation:

$2+3(x-5)=4(x-1)\\$

Then we simplify:

$2+3(x-5)=4(x-1)\\2+3x-15=4x-4\\-13+3x=4x-4\\-9=x$

4 0

3 years ago