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4 years ago

How do you simplify:

1 answer:

4 0

So 10.
first parenthasees ()
so 10(2.1q-2)=21q-10
then you do the rest

21q-20+7.5+18
add like terms
28.5q-2

second
(-6y-2)+5(3+2.5y)
distribute the 5
15+12.5y
add like terms
-6y-2+15+12.5y
6.5y+13

3rd
1/2(6x+10)+1/3(6+9x)
distribute
3x+5+2+3x
add like terms
6x+7

4th
(3x+8)-6(2.5x-3)
distrubute
-15x+18
add like terms
3x+8-15x+18
-12x+26

5th
(7-3t)-5(-1.6t+5)
distribute
+8t-25
add like terms
7-3t+8t-25
5t-18

6th
1/2(12w+8)-1/5(10w-5)
distribute
6w+4-2w+1
add like terms
4w+5

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Solving 8 problems per minute, Fast Finn can finish his test in time. He was however, working faster, solving 10 problems per mi

mrs_skeptik [129]

Answer:

Number of problems = 240

Step-by-step explanation:

Let x be the number of questions and t be the time.

Given:

Average rate = 8 problems per minute

Fast Finn rate = 10 problems per minute

Fast Finn taken time = t - 6

We need to find the number of problems on the test paper.

Solution:

Average rate to solve test paper.

$Average\ rate =\frac{Number\ of\ questions}{time}$

$8 =\frac{x}{t}$

$t =\frac{x}{8}$ --------------(1)

Fast Finn rate to solve the test paper.

$Average\ rate =\frac{Number\ of\ questions}{time}$

$10 =\frac{x}{t-6}$

Using cross multiplication rule.

$x=10(t-6)$

$x=10t-60$

substitute $t =\frac{x}{8}$ from equation 1.

$x=10(\frac{x}{8}) -60$

Rearrange the equation as:

$x - \frac{5}{4}x = -60$

$\frac{4x-5x}{4}=-60$

$-\frac{x}{4} = -60$

Using cross multiplication rule.

$x = 60\times 4$

x = 240 problems.

Therefore, 240 problems were on the test.

4 0

4 years ago

Write the linear equation in slope-intercept form 2x - 3y = 6

noname [10]

2x - 3y = 6
3y = -2x + 6

y = - $\frac{2}{3}$ x + 2

m = - $\frac{2}{3}$
c = 2

Linear Equation:
y = - $\frac{2}{3}$ x + 2

7 0

3 years ago

2−1/2n=3n+16 what is n

Mrrafil [7]

Answer:

n = -4

Step-by-step explanation:

2 - 1/2n = 3n + 16

First isolate n

2 - 16 = 3n + 1/2n

-14 = 3 1/2n

n = -4

7 0

4 years ago

Read 2 more answers

Write ratio in simplest form . 5km : 450 cm

liubo4ka [24]

5km = 5000m = 50000cm
thus, 50000:450 then simpify it. the final answer would be 1000:9

5 0

4 years ago

I have $225.00 in my account. I can spend al but 20% of that on some new equipment. What is the most that I can afford to spend

Setler79 [48]

You can "spend all but 20%" so that means you can spend up to 80% of your money (since 20%+80% = 100%). Apply 80% to the value 225

80% of 225 = (80/100)*225 = 0.80*225 = 180

The most you can afford to spend is $180

3 0

4 years ago