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r-ruslan [8.4K]
4 years ago
8

Francine and Cheryl received equal scores on a test made up of multiple choice questions and an essay Francine got 34 multiple c

hoice questions correct and received 14 points for her essay Cheryl got 30 multiple choice questions correct and received 22 points for her essay how many points was each multiple choice question worth (enter your answer in the box)
Mathematics
1 answer:
dem82 [27]4 years ago
5 0

Answer: 2 points

Step-by-step explanation:

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What is the equation of the line that passes through the point (3, 0) and is perpendicular to the line 2x – y = 5?
Lisa [10]

Answer:

\large\boxed{y=-\dfrac{1}{2}x+\dfrac{3}{2}}

Step-by-step explanation:

\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ 2x-y=5.\\\\\text{Convert to the slope-intercept form y = mx + b:}\\\\2x-y=5\qquad\text{subtract 2x from both sides}\\\\-y=-2x+5\qquad\text{change the signs}\\\\y=2x-5\to m_1=2\\\\\text{Therefore}\ m_2=-\dfrac{1}{2}.

\text{The equation of the searched line:}\ y=-\dfrac{1}{2}x+b.\\\\\text{The line passes through }(3,\ 0).\\\\\text{Put the coordinates of the point to the equation.}\ x=3,\ y=0:\\\\0=-\dfrac{1}{2}(3)+b\\\\0=-\dfrac{3}{2}+b\qquad\text{add}\ \dfrac{3}{2} \text{to both sides}\\\\b=\dfrac{3}{2}

8 0
3 years ago
The mean monthly gasoline bill for one household is greater than ​$140. If a hypothesis test is​ performed, how should you inter
adell [148]

Answer: C. There is sufficient evidence to support the claim .\mu>140

Step-by-step explanation:

Given (claim) :The mean monthly gasoline bill for one household is greater than ​$140.

Let \mu be the population mean.

Then, the set of hypothesis for this claim will be:-

H_0:\mu\leq140\\\\ H_a:\mu>140

If a hypothesis test is​ performed , then to interpret a decision that fails to reject the null​ hypothesis we says that there is sufficient evidence to support the claim \mu>140

6 0
3 years ago
What are the solutions to the equation (x – 2)(x + 5) = 0?
nataly862011 [7]

A product of two (or more) factor can be zero if and only if at least one of the factors is zero.

In other words, you cannot multiply two non-zero real numbers, and have zero as a result.

So, if we want the product of these two factors to be zero, at least one of them has to be zero.

The first factor is zero if

x-2 = 0 \iff x=2

The second factor is zero if

x+5 = 0 \iff x=-5

4 0
3 years ago
Read 2 more answers
32 lb 12 ounces equals in pounds
Radda [10]

Answer:

32  3/4 lb

Step-by-step explanation:

32 lb 12 oz = ? lb

Rewrite 12 oz as (12/16) lb.

Then:

32 lb 12 oz = 32 lb + (3/4) lb, or 32  3/4 lb

4 0
3 years ago
Which of the following has a slope of -3 and a y intercept of -5
yarga [219]
The answer is 2, y=-3x-5
Slope-intercept form is y=mx+b, where m is slope and b is the y-intercept.
So if m=-3 and b=-5, the equation is y = -3x -5
5 0
3 years ago
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