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Umnica [9.8K]
2 years ago
15

Mrs. Simmons gave a history test worth 92 points. There were only two types of questions on it: 2-point true/false questions and

5-point fill-in-the-blank questions. If there were a total of 34 questions on the test, how many of them were true/false? How many were fill in the blank?
Please show your work from your solving portion of the answer...
Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
7 0

Answer:

There are 8 true/false questions and 26  fill-in-the-blank questions.

Step-by-step explanation:

Let "t" be the number of 2-point true/false questions and "f" the number of 5-point fill-in-the-blank questions.

Mrs. Simmons gave a history test worth 92 points. Symbollically,

2 t + 5 f = 92   [1]

There were a total of 34 questions in the test. Symbollicaly,

t + f = 34

t = 34 - f   [2]

If we replace [2] in 1, we get

2 (34 - f) + 5 f = 92

68 - 2 f + 5 f = 92

3 f = 24

f = 8

We replace f = 8 in [2],

t = 34 - 8 = 26

There are 8 true/false questions and 26  fill-in-the-blank questions.

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Which Is A Correct First Step For Solving This Equation? -5(4x-7)+8=3x
nordsb [41]

I'm not sure if this is a multiple choice question, so I will just solve the equation.

-5 (4x - 7) + 8 = 3x

-5 (4x + (-7)) + 8 = 3x

1. Distributive Property of Multiplication

(-5)(4x) + (-5)(-7) + 8 = 3x

2. Simplify

-20x + (-35) + 8 = 3x

3. Simplify again

-20x - 27 = 3x

4. Add 27 to both sides and then subtract 3x from both sides to get all the x's by themselves on the same side

-20x - 27 + 27 = 3x + 27

-20x - 3x = 3x + 27 - 3x

5. Simplify

-23x = 27

6. Divide

-23x / -23 = 27 / -23

7. Simplify

Answer:

<h2>x = - 27/23 ≈ -1.17</h2>

Hope this helps!

5 0
3 years ago
5^2x=28 <br> (Help me please!!!!!!)
gizmo_the_mogwai [7]
Okay so i would do this with a logarithm. 
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take the log of both sides
log5^(2x) = log28   and because of this log rule: logA^n = nlogA 
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then divide by log5 on both sides
2x = log28 / log5
and divide by 2
x = (log28 / log5) /2
this can be found with a calculator:

x= about 1.03521...
round that to whatever the question says to
6 0
3 years ago
2.8x = -9.24<br><br>A. 12.04<br>B. -0.3030<br>C. -3.3<br>D. 12.04<br><br>Please helppp​
daser333 [38]
The answer of this problem is the letter C. -3.3
6 0
3 years ago
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kakasveta [241]

Answer:

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Step-by-step explanation:

Standard form is when the answer is equal to zero.

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3 years ago
What is the shape of the cross section taken parallel to the base of a cylinder? circle rectangle triangle ellipse
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The option A is correct. A circle is the shape of the cross section taken parallel to the base of a cylinder.

According to the statement

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So, For this purpose,

We know that the

A cylinder is a three-dimensional solid, one of the most basic geometric shapes.

In this shape the surface formed by the points at a fixed distance from a  line segment, which is  known as the axis of the cylinder.

As the bases of cylinder are two identical circles which are parallel to the curved surface.

The curved surface when we open will be circle rather than the circle.

So, Due to this reason the answer is a circle.

Therefore, a circle is the shape of the cross section taken parallel to the base of a cylinder.

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brainly.com/question/76387

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