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Art [367]
3 years ago
13

The corporate team-building event will cost $84 if it has 12 attendees. How many attendees can there be, at most, if the budget

for the corporate team-building event is $98? Solve using unit rates.
Mathematics
1 answer:
melisa1 [442]3 years ago
7 0

14 attendees

Step-by-step explanation:

12 attendees : $ 84

     x   : $ 98

Cross-multiply;

84 x = 98 * 12

x = 14

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Jonathan is building an outdoor staircase for his deck. He uses 8 screws for every 2 steps. If there are 14 steps, how many scre
4vir4ik [10]

Answer:

56 screws

Step-by-step explanation:

So, first we can find how many screws he needs.

So,  if he uses 2 steps for 8 screws, and has 14 steps, that means he puts screws in 7 steps ( 14÷2)

then, if he uses 8 screws, each with 8 steps, we can do 8 times 7, which is 56 screws

3 0
3 years ago
A foot ball field measures 100m by 72m. A school marks a football field similar in shape to a fullsize football field but only 3
Anna35 [415]

Answer: 21.6 m

Step-by-step explanation:

Given

A football field measures 100\ m\times 72\ m

If a football field similar in shape to a full size  has a length l=30\ m

The ratio of the length of the original to the small field is the same

Assume the width of the small field is  w

\therefore \dfrac{100}{30}=\dfrac{72}{w}\\\\\Rightarrow w=30\times \dfrac{72}{100}\\\\\Rightarrow w=21.6\ m  

Thus, the width of the field is 21.6 m

6 0
3 years ago
4. 150 men working in a factory produce 6000 articles in 15 working days. How long will it take, a. 50 men to produce the 6000 a
sergiy2304 [10]
<h2><u><em>Answer:</em></u></h2><h2><u><em></em></u></h2><h2><u><em>work done by 150 men on 1 day=6000/15.</em></u></h2><h2><u><em></em></u></h2><h2><u><em>work done by 1 man on 1 day=6000/(15*150).</em></u></h2><h2><u><em></em></u></h2><h2><u><em>work done by 50 men on 1 day=(6000*50)/(15*150).</em></u></h2><h2><u><em></em></u></h2><h2><u><em>let X days taken to produce 6000 articles by them, then</em></u></h2><h2><u><em></em></u></h2><h2><u><em>((6000*50)/(15*150))X=6000.</em></u></h2><h2><u><em></em></u></h2><h2><u><em>on solving X=45 days.</em></u></h2><h2><u><em></em></u></h2><h2><u><em>So 45 days will take for 50 men to produce 6000 articles.</em></u></h2><h2><u><em></em></u></h2><h2><u><em>Please mark me Brainliest</em></u></h2>
6 0
3 years ago
What is the slope of a line that is parallel to –x + 3y = 6 Responses 1/3 StartFragment, 1/3, -1 StartFragment, -1, 3 StartFragm
algol13

The slope of the line parallel to the line  –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

It is given that:

The equation of the line:

–x + 3y = 6

Write the equation in standard form:

y = x/3 + 6/3

y = x/3 + 2

m = 1/3

The slope of the line parallel to the line  –x + 3y = 6

M = 1/3

Thus, the slope of the line parallel to the line  –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.

Learn more about the slope here:

brainly.com/question/3605446

#SPJ1

5 0
1 year ago
At the beginning of the year, Jerome had a balance of $0 in his bank account. He later deposited $120 into the account and then
Trava [24]
That would be "c" because you would have to subtract 85 from 120 and then your answer is less then 85
7 0
3 years ago
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