MATHEMATICS HIGH SCHOOL

Write the equation for "Three times the difference of -14 and 4 amounts to -54."

Answers

Answer 1

Answer:

Answer:

3(-14 - 4) = -54

Step-by-step explanation:

We can write the equation using parentheses:

3(-14 - 4) = -54

These parentheses ensure that the subtraction is done first, making the equation true.

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A large flagpole stands outside of an office building. Marquis realizes that when he looks up from the ground 60m away from the flagpole, the top of the flagpole and the top of the building line up. If the flagpole is 35m tall and Marquis is 170m from the building, how tall is the building?

Answers

The height of the office building is 99.2 meters

The given parameters are:

d1: The flagpole's distance from the office building = 60 m
d2: Marquis' distance from the office building = 170 m
h1: Height of the flagpole = 35 m

The above parameters can be represented using the following equivalent ratio

$h1 : d1 = h2 : d2$

Express as fraction

$(h1 )/( d1) = (h2 )/( d2)$

So, we have:

$(35)/(60)=(h2)/(170)$

Multiply both sides by 170

$170 * (35)/(60)=h2$

$99.2=h2$

Rewrite as:

$h2 =99.2$

Hence, the building is 99.2 meters tall

Read more about equivalent ratios at:

brainly.com/question/2328454

Answer:

99.17m

Step-by-step explanation:

In the diagram, Marquis is at Point A and the flag pole is length DE, the building is of length BC.

Triangles ADE and ABC are therefore similar right triangles.

Applying this,

[TeX]\frac{|DE|}{|AE|}=\frac{|BC|}{|AC|}[/TeX]

[TeX]\frac{35}{60}=\frac{|BC|}{170}[/TeX]

|BC|=170*35÷60

|BC|=99.17m

The temperature is 18 degrees at 7am. By 2pm,the temperature has gotten warmer by 28 degrees. What is the temperature at 2pm?

Answers

The answer is 46 degrees

herky is putting money into a savings account on a weekly basis to buy a dvd player that costs $179.40 including tax. he asks mario how much he should save per week to buy the player in 8 weeks if he already has $35.00 saved. mario gives him the answer and explains how he found the answer. what does mario say?

Answers

35 + 8w = 179.40
8w = 179.40 - 35
8w = 144.40
w = 144.40/8
w = 18.05 per week

Answer:a

Step-by-step explanation:

Question 3 (1 point)Cynthia drove 12 miles in 4.8 minutes. How long would it take her to drive 37 miles? "

Answers

Answer:

14.8 minutes

Step-by-step explanation:

4.8 min/12mi= 0.4 min/1 mile driven

multiply the time by the distance:

37mi*(.4min/1mi), mi cancels and you're left with min

37*0.4=14.8 min

D=RT; 12=R*(.08 hours); R=150mph
Now, 37=150*T; T=37/150=14.8 minutes

Braeden has an income of $85,600 before income tax.The income tax rate is 3.5%. How much will he pay in
income taxes?

Answers

9514 1404 393

Answer:

$2996

Step-by-step explanation:

3.5% of $85,600 is ...

0.035 × $85,600 = $2996

Braeden will pay $2,996 in income taxes.

A bowl holds 100 peanuts . how many bowls would hold a million peanuts?

Answers

You would need 10,000 bowls to hold a million nuts
1 bowl = 100
? bowl = 1,000,000

1,000,000 / 100 = 10,000
Therefore
10,000 bowl = 1,000,000 nuts

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