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Irina-Kira [14]
2 years ago
10

Multiple-choice questions are worth 2 points each and word problems are worth 5 points. How many of each type of question are th

ere? Your math teacher tells you that the next test is worth 100 points and contains 38 problems.
Mathematics
2 answers:
d1i1m1o1n [39]2 years ago
6 0

Answer:

30 multiple choice and 8 word.

Step-by-step explanation:

m=multiple choice problem

w=word problem

2m+5w=100

m+w=38

2m+5w=100

2m+2w=76

Subtract

3w=24

w=8

38-8=30

Gwar [14]2 years ago
6 0

Let MCQs be x and Word probs be y

  • x+y=38-(1)
  • 2x+5y=100-(2)

Multiply 2 with 1st eqn

\\ \sf\longmapsto 2x+2y=76--(3)

Subtract eqn (2) and (3)

\\ \sf\longmapsto 3y=24

\\ \sf\longmapsto y=8

Put in first equation

\\ \sf\longmapsto 8+x=38

\\ \sf\longmapsto x=30

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The answer is A 1,525 paperclips
because 114,375 divided by 75 is 1,525
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2 years ago
A soft drink machine outputs a mean of 27 ounces per cup. The machine's output is normally distributed with a standard deviation
postnew [5]

Answer: P(22 ≤ x ≤ 29) = 0.703

Step-by-step explanation:

Since the machine's output is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = output of the machine in ounces per cup.

µ = mean output

σ = standard deviation

From the information given,

µ = 27

σ = 3

The probability of filling a cup between 22 and 29 ounces is expressed as

P(22 ≤ x ≤ 29)

For x = 22,

z = (22 - 27)/3 = - 1.67

Looking at the normal distribution table, the probability corresponding to the z score is 0.047

For x = 29,

z = (29 - 27)/3 = 0.67

Looking at the normal distribution table, the probability corresponding to the z score is 0.75

Therefore,

P(22 ≤ x ≤ 29) = 0.75 - 0.047 = 0.703

6 0
3 years ago
Circle O is shown. Line segments B O and O C are radii. Point A is on the circle and is not within angle B O C.
Paha777 [63]

The ratio of major to minor arc = 2 : 1

What is a Circle?

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

Calculation

The length of an arc (L) with center angle θ is given by:

                                          L = (θ/360) * 2πr

where r is the radius.

Putting the values in the above formula.

For the major arc:

L = (240/360) * 2πr

For the major arc:

l = ((360-240)/360) * 2πr

l = (120/360) * 2πr

The ratio of major to minor arc = [(240/360) * 2πr] / [(120/360) *2πr] = 2 : 1

The ratio of major to minor arc = 2 : 1.

Learn more about the circle here:

brainly.com/question/15125799

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+140.68 m/h

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