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Zina [86]
2 years ago
12

Andy,Taylor and Ben share their team payment in a ratio of 1:3:4. What % dies Andy receive

Mathematics
2 answers:
jarptica [38.1K]2 years ago
8 0

Answer: 12.5%

Step-by-step explanation: Ratio describes the relative magnitudes between quantities. Their payment is given in the ratio of 1:3:4. Andy = 1, Taylor = 3, and Ben = 4

To figure out the ratio Andy receives, we first add the ratios together to get the sum of ratios.

Therefore, 1 + 3 + 4 = 8

Andy receives 1 out of 8 = ⅛

Representing fractions as percentages, we simply multiply by 100/1.

⅛ x (100/1) = 100/8 = 12.5%

Therefore, Andy receives 12.5% as his share of their team payment.

matrenka [14]2 years ago
7 0
Andy receives 1 share out of 8 total.

\frac{1}{8} *100=12.5 \text{ percent}
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Bella has joined a new gym in town. The cost of membership is $25 per month. The after-hours policy at the gym allows her to wor
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The total monthly bill of the gym = $53

The cost of membership of a month = $25

Let 'n' be extra the number of hours Bella worked on.

The cost for working on extra hours = $4

So, we have to determine the equation, Bella worked out after hours.

We will determine the equation by:

(Monthly cost of membership) + ( cost for extra hours \times number of hours extra worked on )  = Total monthly bill received

So, we get

\$25+(4 \times n) = \$53

$25+4n = $53 is the required equation.

Therefore, $25+4n = $53  equation can be used to determine how many times Bella worked out after hours.

4 0
1 year ago
−15x+4≤109 OR −6x+70>−2
Xelga [282]

-15x+4\leq109\qquad\text{subtract 4 from both sides}\\\\-15x\leq105\qquad\text{change the signs}\\\\15x\geq-105\qquad\text{divide both sides by 15}\\\\\boxed{x\geq-7}\\or\\-6x+70>-2\qquad\text{subtract 70 from both sides}\\\\-6x>-72\qquad\text{change the signs}\\\\6x

3 0
2 years ago
Read 2 more answers
susan took two tests.the probability of her passing both tests is 0.6.the probability of her passing the first test is 0.8.what
OverLord2011 [107]
Formula for this is as follows:
probability of her passing both 0.6/0.8 - first test and this is a fraction. 0.6/0.8
0.6/0.8= divide 0.6 by 0.8=0.75
that means probability of her passing the second test is 75%
6 0
1 year ago
Tim has an after-school delivery service that he provides for several small retailers in town. He uses his bicycle and charges $
nlexa [21]

Answer:

<em>$4.84</em>

<em></em>

Step-by-step explanation:

Given that

For delivery within 1\frac{1}2 mi, charges = $1.25

For delivery within 1\frac{1}2 mi - 1\frac{3}4 mi, charges = $1.70

For delivery within 1\frac{3}4 mi - 2 mi, charges = $2.15

and

so on.

i.e.

For delivery within 2 mi - 2\frac{1}4 mi, charges = $2.60

For delivery within 2\frac{1}4 mi - 2\frac{1}2 mi, charges = $3.05

For delivery within 2\frac{1}2 mi - 2\frac{3}4 mi, charges = $3.50

For delivery within 2\frac{3}4 mi - 3 mi, charges = $3.95

For delivery within 3 mi - 3\frac{1}4 mi, charges = $4.40

So, every 0.25 mi or \frac{1}4 mi increase in distance, there is an increase of $0.45 in the charges.

It is given that there is increase of 10% in the rates.

i.e. for every 0.25 mi increase in distance, there is an increase of 0.45*1.10 = $0.495 in the charges.

The distance of 3\frac{1}8 miles lies within the range 3 mi - 3\frac{1}4 mi.

So actual charges after increase of 10%

\Rightarrow \$4.40 \times \dfrac{110}{100}\\\Rightarrow \$4.40 \times 1.10\\\Rightarrow \bold{\$4.84}

6 0
2 years ago
A psychologist is collecting data on the time it takes to learn a certain task. For 50 randomly selected adult subjects, the sam
tatuchka [14]

Answer: (15.263,\ 17.537)

Step-by-step explanation:

According to the given information, we have

Sample size : n= 50

\overline{x}=16.40

s=4.00

Since population standard deviation is unknown, so we use t-test.

Critical value for  95 percent confidence interval  :

t_{n-1,\alpha/2}=t_{49, 0.025}= 2.009575\approx2.010

Confidence interval : \overline{x}\pm t_{n-1, \alpha/2}\dfrac{s}{\sqrt{n}}

16.40\pm (2.010)\dfrac{4}{\sqrt{50}}\\\\=16.40\pm1.13702770415\\\\=16.40\pm1.1370\\\\=(16.40-1.1370,\ 16.40+1.1370)\\\\=(15.263,\ 17.537)

Required 95% confidence interval :  (15.263,\ 17.537)

8 0
1 year ago
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