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2 years ago

Can someone help me with number 10 thanks

Mathematics

2 answers:

Tamiku [17]2 years ago

5 0

Answer:

Step-by-step explanation:

4² = 4 × 4 = 16

16 - 6 = 10

stealth61 [152]2 years ago

4 0

Answer:

Step-by-step explanation:

4 to the second power is 16. When there is a number above a number but smaller it is called a power. It would be said like 4 to the second power. Then you minus the 6 and you get 10. Hope this helps!

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(½) (6x + 3) = 7 – (3x + 1)

erastovalidia [21]

$\tt Step-by-step~explanation:$

To solve for x, we have to remember to isolate the variable.

$\tt Step~1:$

For 1/2, we can make that 0.5, since their values are equivalent. Our equation:

$\tt (0.5)(6x+3)=7-(3x+1)$

Let's distribute the 0.5 first.

$\tt 0.5*6x=3x\\0.5*3=1.5$

$\tt Step~2:$

Now, let's simplify the right side of the equation. We have to distribute the negative to 3x and 1.

$\tt -1*3x=-3x\\-1*1=-1$

Then, we simplify the entire expression.

$\tt 7-3x-1=-3x+6$

$\tt Step~3:$

Our equation now:

$\tt 3x+1.5=-3x+6$

Let's add 3x to the right and 3x to the left to simplify the -3x on the right side of the equation.

$\tt 3x(+3x)+1.5=-3x (3x)+6\\6x+1.5=6$

$\tt Step~4:$

Let's do the same thing we did in Step 3 to 1.5. Subtract 1.5 on both sides of the equation.

$\tt 6x+1.5(-1.5)=6(-1.5)\\6x=4.5$

$\tt Step~5:$

Finally, we divide both sides by 6 to isolate x.

$\tt \frac{6x}{6} =x\\\frac{4.5}{6}= 0.75~or~\frac{3}{4}$

$\large\boxed{\tt Our~final~answer:~x=0.75~(or~\frac{3}{4})}$

8 0

2 years ago

Help. Solving Multi Step Ratio Problems!

Romashka-Z-Leto [24]

Answer:

Part 1) $30\ coupons$

Part 2) $12\ sandwiches$

Part 3) $60\ push-ups$

Part 4) $96\ minutes$

Part 5) $\$95$

Part 6) $1\frac{7}{8}\ cups\ of\ pretzel$

Step-by-step explanation:

Part 1) we know that

At the Green House of Salad , you get a $1 coupon for every 3 salads you buy

Using proportion

Find out the number of salads you could buy to get $10 in coupons

$\frac{1}{3}=\frac{10}{x} \\\\x=3(10)\\\\x=30\ coupons$

Part 2) we know that

Kim orders catering for $35

She spend $5 on a large order of potato salad and the rest on turkey sandwiches

Each sandwich is $2.50

How many sandwiches does Kim buy?

step 1

Find out how many Kim spent on turkey sandwiches

Subtract $5 from $35

35-5=$30

step 2

Using proportion, find out the number of sandwiches

$\frac{1}{2.50}=\frac{x}{30}\\\\x=30/2.50\\\\x= 12\ sandwiches$

Part 3) we know that

Molly does 10 push-ups at the same time as Liza does 15 push-ups

Using proportion

Find out how many push-ups Liza does when Molly does 40 push-ups

$\frac{10}{15}=\frac{40}{x}\\\\x=15(40)/10\\\\x=60\ push-ups$

Part 4) we know that

A shark swim at a speed of 25 miles per hour

The shark rest after 40 miles

How long in minutes, does the shark swim before resting?

Using proportion

Find out how long in minutes the shark swim 40 miles

Remember that

$1\ h=60\ min$

$\frac{25}{60}\ \frac{miles}{minutes}=\frac{40}{x}\ \frac{miles}{minutes}\\\\x=60(40)/25\\\\x=96\ minutes$

Part 5) we know that

For every bar of soap that Aly sells, she earns $5

For every mug that Janet sells, she earns twice as much as Aly

Aly sells 5 bars of soap and Janet sells 7 mugs

How much money did they make altogether?

step 1

Find out the amount earned by Aly

using proportion

$\frac{1}{5}=\frac{5}{x}\\\\x=5(5)\\\\x=\$25$

step 2

Find out the amount earned by Janet

Remember that

For every mug that Janet sells, she earns twice as much as Aly

For every mug that Janet sells, she earns 2($5)=$10

using proportion

$\frac{1}{10}=\frac{7}{x}\\\\x=10(7)\\\\x=\$70$

step 3

Adds the amount earned by Aly plus the amount earned by Janet

$25+70=\$95$

Part 6) we know that

Ted is making trail mix for a party

He mixes 1 1/2 cups of nuts, 1/4 cup of rising and 1/4 cup of pretzel

How many cups of pretzel does Ted need to make 15 cups of trail mix?

Adds the quantities

$1\frac{1}{2}+\frac{1}{4} +\frac{1}{4}=2\ cups\ of \ trail\ mix$

That means

For every 2 cups of trail mix we need 1/4 cup of pretzel

using proportion

Find out how many cups of pretzel does Ted need to make 15 cups of trail mix

$\frac{2}{(1/4)}=\frac{15}{x}\\\\x=15(1/4)/2\\\\x=\frac{15}{8}\ cups\ of\ pretzel$

Convert to mixed number

$\frac{15}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}\ cups\ of\ pretzel$

6 0

3 years ago

Help! I need it done ASAP NO LINKS PLEASE I APPRECIATE ALL HELP

a_sh-v [17]

Answer:

slope = $\frac{rise}{run}$ = $\frac{2}{2}$ = 1

y intercept = (0,-1)

4 0

2 years ago

Please answer: what is the quotient? what is the remainder?

stepladder [879]

Quotient : 5x + 8 Remainder : 14x2 + 5x + 11

3 0

3 years ago

What is 800 divided by 90

mr Goodwill [35]

88.89 is the answer to this question

6 0

2 years ago

Read 2 more answers