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IrinaK [193]
3 years ago
14

There are 3/4 as many boys as girls in a class of fifth graders. If there are 35 students in the class, how many are girls?

Mathematics
1 answer:
OLEGan [10]3 years ago
4 0

Answer:

20 There are 15 boys and 20 girls.

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Use the compass and ruler to construct the bisector of the angle given below.
soldier1979 [14.2K]
Okay so I think you go south now give me ma points
8 0
2 years ago
] Monica Geller, head chef at Allesandro's and is looking to update the commercial equipment in her kitchen and bar that will al
liubo4ka [24]

Answer:

The maximum amount that should be spent on the upgrade is $38,298,000.

Step-by-step explanation:

Let the initial purchase be <em>x</em>.

The ROI = 15% of <em>x</em> = 0.15<em>x</em>

At the end of 4 years, salvage value = 10% of <em>x</em> = 0.1<em>x</em>

<em />

Current income per day = $16 × 230 = $3680

Expected income per day = $21 × 245 = $5145

Increase in income per day = $5145 - $3680 = $1465

For 4 years (assuming a year is 365 days),

Increase in income = $1465 × 365 × 4 = $2138900

Maintenance and utility cost for 4 years = 4 × $56000 = $224000

At the end of 4 years,

ROI = $2138900 + salvage value = $2138900 + 0.1<em>x</em> - $224000

0.15<em>x</em> = $1914900 + 0.1<em>x</em>

0.05<em>x</em> = $1914900

<em>x</em> = $38298000

5 0
2 years ago
Read 2 more answers
Rachel bought one double pack of CD’s for $20. This is $4 less then than 3/4 the cost of a triple pack of CD’s. What is the pric
elena55 [62]

Answer:$32


Step-by-step explanation: So if the double pack of CD's is 20 dollars and that $4 less than 3/4 of the triple pack, then $20 + $4 = $24, then to find how much 1/4 of the cost is we divide 24 by 3, getting $8. Finally we multiple $8 by 4 to get $32, so the cost for a triple pack is $32.


6 0
3 years ago
Find the value of w if the expression wx(3y² + 6y – 2) simplifies to the expression 6xy² + 12xy – 4x.
nadezda [96]

Answer:

w = 2

Step-by-step explanation:

Distribute the expression and compare like terms with the simplified version.

Given

wx(3y² + 6y - 2) ← distribute parenthesis

= 3wxy² + 6wxy - 2wx

Compare coefficients of like terms with

6xy² + 12xy - 4x

Compare xy² term, then

3w = 6 ( divide both sides by 3 )

w = 2

Compare xy term, then

6w = 12 ( divide both sides by 6 )

w = 2

Compare x term, then

- 2w = - 4 ( divide both sides by - 2 )

w = 2

Hence the required value of w is 2

3 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!!
barxatty [35]

Answers:

  • <u>24000 dollars</u> invested at 4%
  • <u>18000 dollars</u> was invested at 7%

======================================================

Work Shown:

x = amount invested at 4%

If she invests x dollars at 4%, then the rest (42000-x) must be invested at the other rate of 7%

She earns 0.04x dollars from that first account and 0.07(42000-x) dollars from the second account

This means we have

0.04x+0.07(42000-x)

0.04x+0.07*42000-0.07x

0.04x+2940-0.07x

-0.03x+2940

This represents the total amount of money earned after 1 year.

We're told the amount earned in interest is $2220, so we can say,

-0.03x+2940 = 2220

-0.03x = 2220-2940

-0.03x = -720

x = -720/(-0.03)

x = 24000 dollars is the amount invested at 4%

42000-x = 42000-24000 = 18000 dollars was invested at 7%

----------------------

As a check, we can see that

18000+24000 = 42000

and also

0.04x = 0.04*24000 = 960 earned from the first account

0.07*18000 = 1260 earned from the second account

1260+960 = 2220 is the total interest earned from both accounts combined

This confirms our answers.

7 0
3 years ago
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