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Deffense [45]
3 years ago
13

Evaluate the expression

Mathematics
2 answers:
rodikova [14]3 years ago
8 0

Answer:

-5

Step-by-step explanation:

1/4 ( -5 + 5(-3))

Using PEMDAS

Multiply inside the parentheses

1/4 ( -5 + -15)

Add inside the parentheses

1/4( -20)

Multiply

-5

Natalka [10]3 years ago
6 0

Answer: -5

Step-by-step explanation:

Multilpy  \frac{1}{4} x (-5 + 5 x (3)

Calculate \frac{1}{4} x (-5 - 15)

-\frac{1}{4} x 20

= -5

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Aliun [14]
Interesting problem ...

The key is to realize that the wires have some distance to the ground, that does not change.

The pole does change. But the vertical height of the pole plus the distance from the pole to the wires is the distance ground to the wires all the time. In other words, for any angle one has:

D = L * sin(alpha) + d, where D is the distance wires-ground, L is the length of the pole, alpha is the angle, and 'd' is the distance from the top of the (inclined) pole to the wires:

L*sin(40) + 8 = L*sin(60) + 2, so one can get the length of the pole:

L = (8-2)/(sin(60) - sin(40)) = 6/0.2232 = 26.88 ft (be careful to have the calculator in degrees not rad)

So the pole is 26.88 ft long!

If the wires are higher than 26.88 ft, no problem. if they are below, the concerns are justified and it won't pass!

Your statement does not mention the distance between the wires and the ground. Do you have it?
4 0
3 years ago
Read 2 more answers
How to Write this number out 100,203
Sergeeva-Olga [200]
One hundred thousand two hundred and three
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3 years ago
The cost of a car rental is twenty-five dollars a day plus ten cents a mile. What is the total cost, in dollars, if the car is r
Fudgin [204]

Answer:

The total cost is D) $141

Step-by-step explanation:

To solve we can use the equation: y=25d+0.10m

d= number of days  m= number of miles

We know both of these values so we can plug them in and solve.

y= 25(3) + 0.10(660)

y= 75 + 66

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4 0
3 years ago
How to solve 3x+7+2=33
Dima020 [189]
3x+7+2=33 \\ 3x+9=33 \\ 3x=24 \\ x= \frac{24}{3} \\ \boxed{x=8}
6 0
3 years ago
Read 2 more answers
See pictures attached below. Will give Brainliest!
Phoenix [80]

Question 1 Answer:

Aunt 1 and Grandma 1 would fill gift bags.

Mom and Aunt 2 would make centerpieces.

You and Grandma 2 would blow up balloons.

Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.

Question 2 Answer:

We use algebra and our previous pairings to determine the length of each task.

<u>Gifts Bags --> 6/7 hours</u>

x = time together

\frac{1}{x} = rate of completion

Aunt 1 = \frac{1}{1.5} Grandma 1 = \frac{1}{2}

\frac{2}{3} +\frac{1}{2} = \frac{1}{x}

\frac{7}{6} = \frac{1}{x}

x = \frac{6}{7}

<u>Centerpieces --> 7/4 hours</u>

x = time together    \frac{1}{x} = rate of completion

Mom = \frac{1}{3.5} Aunt 2 = \frac{1}{3.5}

\frac{2}{7} + \frac{2}{7}  = \frac{1}{x}

\frac{4}{7} = \frac{1}{x}

x = \frac{7}{4}

<u>Balloons --> 15/16 hours</u>

x = time together    \frac{1}{x} = rate of completion

You = \frac{1}{1.5} Grandma 2 = \frac{1}{2.5}

\frac{2}{3} + \frac{2}{5}  = \frac{1}{x}

\frac{16}{15} = \frac{1}{x}

x = \frac{15}{16}

Shortest amount of time to complete all tasks is:

\frac{6}{7} + \frac{7}{4} + \frac{15}{16} = \frac{397}{112}  ≈ 3.54 hours

Converting hours to hours and minutes --> 3 hours 32 minutes

Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.

8 0
2 years ago
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