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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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Kesha deposits $1000 into a savings account earning 6% interest each year. She makes no further deposits to the account. What is
kodGreya [7K]

Answer:

1000*1.06^{5}  = 1 338.2255776 $ $

~ 1 338 $

Step-by-step explanation:

The 6% interest earning: 1 + 6 / 100 => 1.06

Since she doesn't make any transactions on the account, at the end of 5 years she'll have: 1000*1.06^{5}  = 1 338.2255776 $

6 0
2 years ago
The imaginary number i is equal to
Murljashka [212]

Answer:

D

Step-by-step explanation:

An equivalent expression is an expression which is equal to −(4 + 3i) + (2 + 2i). You can expand or simplify an expression to make an equivalent expression. Combine like terms - constants with constants and imaginary with imaginary - to simplify.

−(4 + 3i) + (2 + 2i) = -4 + 2 -3i + 2i = -2 - i

3 0
3 years ago
Please answer this !!
Nataly [62]
C(3) = -0.09(3)² + 3.5(3) + 8
        = -0.09 * 9 + 10.5 + 8
        = -0.81 + 18.5
        = 17.69 parts per million
5 0
3 years ago
Which equation represents a line that passes through (–9, –3) and has a slope of –6?
IgorC [24]

Answer:

<h2>y + 3 = -6(x + 9) - point-slope form</h2><h2>y = -6x - 57 - slope-intercept form</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

<em>m</em><em> - slope</em>

The formula of a slope:

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

========================================

We have the slope <em>m = -6</em> and the point (-9, -3).

Substitute:

y-(-3)=-6(x-(-9))\\\\y+3=-6(x+9)

Convert to the slope-intercept form (<em>y = mx + b</em>):

y+3=-6(x+9)           <em>use the distributive property</em>

y+3=-6x-54         <em>subtract 3 from both sides</em>

y=-6x-57

6 0
3 years ago
Can someone please help me? Thanks
Daniel [21]

Answer:

693 sq. m.

Step-by-step explanation:

The figure consists of a triangular prism (Bottom Part) and a Triangular Pyramid (Top Part). We will find the volume of each and add it up to get volume of total figure.

1. Volume of Triangular Prism = Area of Triangular Base * Height

Area of Triangular Base = (1/2)*base*height

Given that the triangle is a right triangle, we find the unknown side by using Pythagorean Theorem, which tells us:

Leg^2 + Another Leg^2 = Hypotenuse^2

8.8^2 + Another Leg^2 = 13.7^2

77.44+ Another Leg^2 = 187.69

Another Leg (unknown side, or the base of the triangle) = Sqrt(187.69-77.44) = 10.5 (this is base of triangle)

So, we have:

Area of Triangular Base = \frac{1}{2}*10.5*8.8=46.2

Thus,

Volume of Triangular Prism = 46.2 * 10(given) = 462 sq.m.

2. Volume of Triangular Pyramid = (1/3) * area of triangular base * height

Here, area of triangular pyramid is 46.2 (already found)

the height of the pyramid is 25 - 10 = 15

SO, we have:

Volume of Triangular Pyramid = \frac{1}{3}*46.2*15=231 sq. m.

Now we sum them up and get total volume of the figure:

Total Volume of Figure = 462+ 231 = 693 sq. m.

6 0
3 years ago
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