Compare . . . . . ...................

If my last paycheck way $107.78 and I work for 3 and a half hours a day for 5 days, how much do I make an hour?

Tresset [83]

Answer:

$6.16

Step-by-step explanation:

Total amount paid = $107.78

Total time worked = 3 and half hours for 5 days

$=3\dfrac{1}{2}\cdot 5\\ \\=\dfrac{7}{2}\cdot 5\\ \\=\dfrac{35}{2} \ hours$

Amount earned per hour

$=\$107.78:\dfrac{35}{2}\\ \\=\$107.78\cdot \dfrac{2}{35}\\ \\\approx \$6.16$

5 0

3 years ago

Rachel left home for school at 7:45 one morning. She returned home at 4:05 that afternoon. How many hours and minutes was she go

IceJOKER [234]

Answer:

8 hours 20 minutes

Step-by-step explanation:

Given that :

Time Rachel left for school = 7:45 a.m

Time she returned Home = 4:05 p.m

Time for which Rachael was gone :

4:05 p.m - 7:45 a.m

7:45 a.m to 3:45 p.m= 8 hours

3:45pm to 4:05 pm = 20 minutes

= 8 hours 20 minutes

Rachael was gone for 8 hours 20 minutes

8 0

3 years ago

Nathaniel builds birds and birdhouses using Lego blocks. Let B represent the number of birds and H represent the number of birdh

N76 [4]

Answer:

At-most 3 birdhouses.

Step-by-step explanation:

Let B represent the number of birds and H represent the number of birdhouses that Nathaniel can build with his Lego blocks.

We have been given that Nathaniel builds birds and birdhouses using Lego blocks. The inequality $43B+215H\leq3000$ represents the number of birds and birdhouses Nathaniel could build.

To find the number of birdhouses that Nathaniel can build after making 50 birds, we will substitute B=50 in our given inequality and then solve for H.

$43*50+215H\leq3000$

$2150+215H\leq3000$

Let us subtract 2150 from both sides of our inequality.

$2150-2150+215H\leq3000-2150$

$215H\leq850$

Let us divide both both sides of our inequality by 215.

$\frac{215H}{215}\leq\frac{850}{215}$

$H\leq3.953488$

As Nathaniel can make build less than or equal to 3.953488 and the biggest integer less than or equal to 3.953 is 3, therefore, Nathaniel can build at-most 3 birdhouses with remaining Lego blocks.

3 0

3 years ago

Read 2 more answers

I need to Match each equation that represents each situation.

almond37 [142]

Step-by-step explanation:

this is quite easy, when you use just common sense and identify the right numbers and variable names.

they is nothing special needed, you don't even need to create the equations yourself.

$4.99 per pound. buys b pounds and pays $14.95.

14.95 = 4.99 × b

$4.99 per pound. buys b pounds and pays c.

this is exactly the same as before, just that this time the total amount is not given as a constant but as a variable.

c = 4.99 × b

d dollars per pound. buys b pounds and pays t.

the same as the 2 cases before, just now everything is a variable. no more constants, but otherwise the completely same structure and method.

t = d × b

earned $275, which is $45 more than Noah ("n").

$275 = n + $45

earned m dollars, which is $45 more than Noah ("n").

m = n + $45

earned m dollars, which is y dollars more than Noah (we are asked that Noah's earnings are now called "v").

here your teacher made a mistake.

sure, the only remaining answer is

v = m + y

but it is not correct. given the names of the prime and associated variables the correct answer would be

m = v + y or v = m - y

7 0

2 years ago

Use the box method to distribute and simplify (-5x-2)(-2x^2+6x).

Mkey [24]

Answer:

$10x^{3} - 26x^{2} - 12x$

Step-by-step explanation:

1) Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd.

$10x^{3} - 30x^{2} + 4x^{2} -12x$

2) Collect like terms.

$10x^{3} + (-30x^{2} +4x^{2} )-12x$

3) Simplify.

$10x^{3} - 26x^{2} -12x$

Therefor, the answer is, 10x^3 - 26x^2 - 12x.

3 0

3 years ago