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erma4kov [3.2K]
3 years ago
7

At the office where Mika works 41% of the 19 employees exercise at least three times a week.Estimate the number of people who ex

ercise at least three times a week.
Mathematics
1 answer:
adelina 88 [10]3 years ago
4 0

8 employees exercise at least three times a week

<em><u>Solution:</u></em>

At the office where Mika works 41% of the 19 employees exercise at least three times a week

To find: Number of people who exercise at least three times a week

From given information,

Total employees = 19

Employees exercise at least three times a week = 41 % of total employees

Therefore, we have to evaluate 41 % of 19

Number of people exercise at least three times week = 41 % of 19

\rightarrow 41 \% \text{ of } 19 = 41 \% \times 19\\\\\rightarrow 41 \% \times 19 = \frac{41}{100} \times 19 = 0.41 \times 19\\\\\rightarrow 41 \% \times 19 = 0.41 \times 19 = 7.79 \approx 8

Thus approximately 8 employees exercise at least three times a week

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Trevor paints 1/6 of the fence surrounding his farm each day. How many days will it take him to paint 3/4 of fence
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It will take him five days to paint 3/4 of the fence. 
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Find the gradient of the line segment between the points (-5,2) and (4,3) give your answer in the simplest form
Leokris [45]

Answer: The gradient of the line segment between the points (-5,2) and (4,3) is \dfrac{1}{9}.

Step-by-step explanation:

Formula for gradient of a line segment :

\text{Gradient}=\dfrac{\text{Difference between y-coordinates}}{\text{Difference between x-coordinates}}

Given points of the line segment: (-5,2) and (4,3)

\text{Gradient} =\dfrac{3-2}{4-(-5)}

\text{Gradient} =\dfrac{1}{4+5)}

\text{Gradient} =\dfrac{1}{9}

Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is \dfrac{1}{9}.

7 0
3 years ago
Yusef earned a 25% tip on a meal that cost $75.77. What was the tip amount?
laila [671]
$75.77 × 0.25 = $18.94
The correct answer is B.
8 0
3 years ago
Read 2 more answers
Factor: a) 4x^2-13x+9
Fittoniya [83]

Answer:

A. x = \frac{9}{4}

B. x = 1

Step-by-step explanation:

I don't know if you know this method. I'll explain.

1. Rewrite the same expression, but multiplied and divided by the same number that has the squared variable.

4(\frac{4x^2-13x+9}{4})

2. Take this expression to the expression x^{2} +bx+c, you can do this by grouping. (4)(4x^{2}) can be grouped as (4x)^2 ; since what we want is to keep the (4x) in parenthesis, we don't multiply by 13. leaving it like 13(4x). Finally, we multiply 4 * 9 = 36. The denominator remains. Leaving the expression like:

\frac{(4x)^2-13(4x)+36}{4}

So you see, we now have the expression x^2+bx+c

x^{2} =(4x)^{2}

bx = -13(4x)

c = 36

3. Solve the expression by making 2 parenthesis, extracting (4x) and putting it into both of them like so.

(4x) (4x)

The sign in the first parenthesis is going to be the same as the second number; in this case, negative.

(4x -) (4x)

The sign in the second parenthesis is going to be the multiplication of the second and third signs in front of the numbers. In this case (-) (+) = -

(4x -) (4x -)

Next, we have to find a number that multiplied by another number be equal to ''c'' and added up or substracted (depending on the signs) be equal to ''b''. In this case, since we have the same signs in both parenthesis, we must only find a number which multiplied by another number be equal to 36 and substracted by that number be equal to 13. These two numbers are: 9 and 4 because 9 * 4 = 36 and - 9 + (-4) = -13

Remember that everything is being divided by 4 in this problem.

\frac{(4x-9)(4x-4)}{4}

4. Factor. If you have done everything correctly, the factor number will be the same as the one in the denominator. In this case, it's 4.

(4x-4) is factorable. Their common factor number is 4. If you do not remember how to factor, it's basically dividing by a common number or variable.

\frac{4x}{4} = x

\frac{4}{4} = 1

The factor number is put outside the parenthesis, leaving this expression like:

4(\frac{(4x-9)(x-1)}{4})

So you see, now we cancel out the 4 outside the parenthesis and the one in the denominator. Leaving the expression like:

(4x-9)(x-1)

5. Equal both expressions to 0 (NOTE: If you're not required to do this, the answer is both parenthesis above)

4x - 9 = 0

4x = 9

x = \frac{9}{4}

AND

x - 1 = 0

x = 1

8 0
3 years ago
Please I could really use some help on this (50 points, 5 stars and Brainliest)
jarptica [38.1K]

Answer:

(a)A(n)=5500(1.01)^{4n}

(b)$5955.71

(c)15.02 years

Step-by-step explanation:

For an initial principal P deposited in an account at an annual interest r compounded for a number of period k, the amount in the account after n years is given by the model:

A(n)=P(1+\dfrac{r}{k})^{nk}

(a)Aunt Ga Ga gave you $5,500 to save for college.

P=$5,500

Annual Interest, r=4%=0.04

Since interest is compounded quarterly, Number of Periods, k=4

Therefore, an exponential function modeling this situation is:

A(n)=5500(1+\dfrac{0.04}{4})^{4n}\\A(n)=5500(1+0.01)^{4n}\\$Simplified\\A(n)=5500(1.01)^{4n}

(b)After 2 years, i.e. when n=2

A(2)=5500(1.01)^{4*2}\\=\$5955.71

(c)When A(n)=$10000, we have:

10000=5500(1.01)^{4n}\\$Divide both sides by 5500\\(1.01)^{4n}=\dfrac{10000}{5500} \\$To solve for n, we change to logarithm form\\Log_{1.01}\dfrac{10000}{5500}=4n\\= \dfrac{ Log \dfrac{10000}{5500}}{Log 1.01}=4n\\4n=60.08\\n=60.08 \div 4\\n=15.02\\$Therefore, in 15.02 years, the account would be worth $10,000.

6 0
3 years ago
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