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Nuetrik [128]
3 years ago
12

12.50x = 15 What is the value of x? What is the percent increase?​

Mathematics
1 answer:
kolezko [41]3 years ago
5 0

Answer:

x = 1.2

Step-by-step explanation:

12.50x = 15

12.50/12.50 x = 15/12.50

x = 1.2

(Sorry i dont understand what you mean by percent increase)

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A team of three students are working on a language-learning app; they need to develop 300 micro-lessons and 300 micro-tests befo
Olegator [25]

Answer: a) 15 b)

Step-by-step explanation:

Let X be the number of days:

a)

For LESSONS:

Jordan does 10 / day ( 10*X)

Marco 5 / day ( 5*X)

Junyi 5 / day ( 5*X)

For TESTS:

Jordan does 5 / day ( 5*X)

Marco 10 / day ( 10*X)

Junyi 8 / day ( 8*X)

for each they need a total of 300

a) 10X+5X+5X=300 => 20X = 300 => X = 15 days for the lessons

b) 5X+10X+8X = 300 => 23X = 300 => X = 13.04 days for the tests

so they need 15 days to finish both tasks

now if Junyi gets sick we just eliminate his contribution

a) 10X+5X=300 => 15X = 300 => X = 20 days for the lessons

b) 5X+10X = 300 => 15X = 300 => X = 20 days for the tests

so in 20 days they will finish without him

If jordan works 10 hours a day, we just replace him with 10/24

a) 10(10/24)+5X+5X= 300 => X = 29.58 days for the lessons

b) 5(10/24)+10X+8X = 300 => X = 16.51 days for the tests

so at the end to complete both tasks they need 29.58 days

4 0
3 years ago
The petronas towers in Kuala Lumpur, Malaysia, are 452 meters tall. A woman who is 1.75 meters tall stands 120 meters from the b
bazaltina [42]

Answer:

75.1^{\circ}

Step-by-step explanation:

In this problem, we have:

H = 452 m is the height of the Petronas tower

h = 1.75 m is the height of the woman

d = 120 m is the distance between the woman and the base of the tower

First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so

H' = H-h = 452-1.75=450.25 m

Now we notice that d and H' are the two sides of a right triangle, in which the angle of elevation is \theta. Therefore, we can write the following relationship:

tan \theta = \frac{H'}{d}

since

H' represents the side of the triangle opposite to \theta

d represents the side of the triangle adjacent to \theta

Solving the equation for \theta, we find the angle of elevation:

\theta = tan^{-1}(\frac{H'}{d})=tan^{-1}(\frac{450.25}{120})=75.1^{\circ}

3 0
2 years ago
WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECT PLEASE EXPLAIN WHY YOU ARE CORRECT
Sholpan [36]

Answer:

In a typical kite as shown in picture, it is symmetric around PQ and PQ is perpendicular with RN.

=> Two right triangles PNT and PRT are congruent.

=> angle PRT = angle PNT = 34 deg

=> angle RPT = 90 - angle PRT = 90 - 34 = 56 deg

=> Option A is correct.

Hope this helps!

:)

4 0
3 years ago
Read 2 more answers
Some of Mrs. Turay’s eighth graders took the PSAT test. Score totals of ten of her students are below. Calculate the mean and th
den301095 [7]

Answer:

(a) Mean=74

(b) Median=70

(c) The best measure of center= Median.

Step-by-step explanation:

We have been given a data set of PSAT scores of Mrs. Turay's eight graders. We are asked to find mean and median of the given data set.

(a) Let us find mean of data set by dividing the sum of given scores by the number of students.

\text{Mean}=\frac{60+62+67+69+70+70+71+75+76+120}{10}

\text{Mean}=\frac{740}{10}=74

Therefore, the mean test score will be 74.

(b) Now let us find median of our given data set. We have been given that number of students is 10, therefore, our median will be the average of 5th and 6th term.

60, 62, 67, 69, 70, 70, 71, 75, 76, 120.

We can see that 5th term is 70 and 6th term is 70 as well.

\text{Median}=\frac{70+70}{2}

\text{Median}=\frac{140}{2}

\text{Median}=70

Therefore, the median test scores will be 70.

(c) We can see that our data set has an outlier score as 120, which has increased the mean. Mean score is greater than median score. Since median is not affected by extreme value outliers, therefore, median will be the best measure of center for given test scores.    


3 0
3 years ago
Read 2 more answers
What’s 5,700 divided by 70
Ierofanga [76]
Ur answer is 81.42857142857143
Have a good day hope this helps! :)
4 0
2 years ago
Read 2 more answers
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