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3 years ago

PLEASE HELP ME Which expression is equivalent to –8(–5k+4)+6k

Mathematics

1 answer:

zheka24 [161]3 years ago

6 0

Answer:

the last option (-5k+4)-8 + 6k

Step-by-step explanation:

-8(-5k+4)+6k

to simplify, begin by distributing the -8 so that parentheses are removed:

=(-8)(-5k) + (-8)(4) + 6k

=40k - 32 + 6k

combine 'like terms':

46k-32

the only answer which simplifies to 46k-32 is the last option:

the only difference between the original problem and the last option is that the -8 value is behind the parentheses instead of in front of it; it simplifies to be 46k-32

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You plan to take a 7-day trip to California. You estimate that it will cost $275 per day to visit Los Angeles, and $400 per day

Viktor [21]

Answer:

You can spend 4 days in Los Angeles and 3 days in San Francisco.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=7 (1)

275x+400y=2,300 (2), where:

x is the number of days to visit Los Angeles

y is the number of days to visit San Francisco

First, you can solve for x in (1):

x=7-y (3)

Now, you can replace (3) in (2):

275(7-y)+400y=2,300

1,925-275y+400y=2,300

125y=2,300-1,925

125y=375

y=375/125

y=3

Finally, you can replace the value of y in (3) to find x:

x=7-3

y=4

According to this, the answer is that you can spend 4 days in Los Angeles and 3 days in San Francisco.

5 0

3 years ago

Convert 6 yards into meters. Round your answer to the nearest tenth.

Helga [31]

Answer:

5.4864

Step-by-step explanation:

to the nearest tenth probably 0.5

6 0

3 years ago

Teresa drove on monday tuesday and Wednesday. On monday her driving distance was 120 miles. The ratio of Wednesdays distance is

SSSSS [86.1K]

Answer:

Teresa drive <u>90 miles</u> on Tuesday.

Step-by-step explanation:

Given:

Teresa drove on Monday, Tuesday and Wednesday.

On monday her driving distance was 120 miles.

The ratio of Wednesdays distance is 3/5.

The ratio of Wednesdays distance to Tuesday's distance is 5/4.

Now, to find the miles Teresa drive on Tuesday:

Teresa driving distance on Monday was = 120 miles.

Her driving distance on Wednesday is = $\frac{3}{5}\ of\ 120.$

$=\frac{3}{5} \times 120\\\\=0.6\times 120\\\\=72\ miles.$

Now, her driving distance on Tuesday is:

$\frac{5}{4} \ of\ 72\\\\=\frac{5}{4} \times 72\\\\=1.25\times 72\\\\=90\ miles.$

Therefore, Teresa drive 90 miles on Tuesday.

7 0

3 years ago

Solve the inequality t divide 4 > 7

ioda

Answer:

Step-by-step explanation:

60/4=15

15>7

8 0

3 years ago

You are given g(x)=4x^2 + 2x and

Strike441 [17]

Answer:

324

Step-by-step explanation:

Given:

$g(x)=4x^2+2x\\ \\f(x)=\int\limits^x_0 {g(t)} \, dt$

Find:

$f(6)$

First, find f(x):

$f(x)\\ \\=\int\limits^x_0 {g(t)} \, dt\\ \\=\int\limits^x_0 {(4t^2+2t)} \, dt\\ \\=\left(4\cdot \dfrac{t^3}{3}+2\cdot \dfrac{t^2}{2}\right)\big|\limits^x_0\\ \\=\left(\dfrac{4t^3}{3}+t^2\right)\big|\limits^x_0\\ \\= \left(\dfrac{4x^3}{3}+x^2\right)-\left(\dfrac{4\cdot 0^3}{3}+0^2\right)\\ \\=\dfrac{4x^3}{3}+x^2$

Now,

$f(6)\\ \\=\dfrac{4\cdot 6^3}{3}+6^2\\ \\=288+36\\ \\=324$

4 0

3 years ago