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Jet001 [13]
3 years ago
6

A test has a 50 questions. Two are essay and the remaining are multiple choice and fill in the blank at a 5:1 ratio respectively

. That means: for every 5 multiple choice there will be 1 fill in the blank
Mathematics
2 answers:
o-na [289]3 years ago
8 0

Answer:If the ratio is 5:1 doesn’t mean that it will be in order but there will be 8 fill in the blank and 40 multiple choice

Step-by-step explanation:

Leya [2.2K]3 years ago
6 0
Answer: 2 essay, 40 multiple choice, 8 fill in the blank.

Explanation:

2 essay (given)

50 - 2 = 48

Find how many multiple choice:

48 x 5/6 = 40

Find how many fill in the blank:

48 x 1/6 = 8
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Factor to solve:<br>x² + 18x +27 = 8x +3​
patriot [66]

Answer: x=-4 or x=-6

<u>Subtract 8x+3 from both sides</u>

<u></u>x^2+18x+27-(8x+3)=8x+3-(8x+3)<u></u>

<u></u>x2+10x+24=0<u></u>

<u></u>

<u>Factor left side of equation</u>

<u></u>(x+4)(x+6)=0<u></u>

<u></u>

<u>Set factors equal to 0</u>

<u></u>x+4=0 or x+6=0

Final Answer: x=-4 or x=-6

3 0
4 years ago
In the figure above, point O is the center of the circle,
snow_tiger [21]

Answer:

16.67 or 16 2/3

Step-by-step explanation:

so, as BC is a tangent, it means the angle OBC is 90 degrees.

therefore, the angle BOC is 180 - 90 - 30 = 60 degrees.

that means the angle AOB is 180 - 60 = 120 degrees.

the triangle ABO must be an isosceles triangle, as the sides are both the radius of the circle. so, both remaining angles are the same : half of 180 - 120 = 60 = 30 degrees.

and so, we know that ABC is an isosceles triangle, because both "side angles" are equal = 30 degrees.

so, AB = BC.

and we know the circumference of the circle (50) and can calculate the radius

50 = 2×pi×r

25 = pi×r

r = 25/pi ≈ 7.96

now we have multiple ways to calculate AB.

AB = BC = tan(60) × r

or

AB = sqrt(r² + r² - 2×r×r×cos(120))

or ...

the first one might be easiest.

AB = tan(60) × 7.96 ≈ 13.78

oh, I just recognized, we need the arc AB (not the straight line).

even easier.

50 is the full "arc" of the circle for all 360 degrees.

but we only need the part of the angle AOB = 120 degrees.

so, this is then only the 120/360 part of the full circle circumference.

ABarc = 50 × 120/360 = 50 / 3 ≈ 16.67 or 16 2/3

8 0
3 years ago
3. What multiplication expression<br> represents 7 + 7 + 7 + 7?
olga_2 [115]

Answer: 7 times 4

Step-by-step explanation:

6 0
3 years ago
Tom and Jeff studied the data in the table. They each wrote an equation to represent the
Alinara [238K]

Answer:

Step-by-step explanation:

-4

7 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form.
Leya [2.2K]

Answer:

y = -\frac{1}{6}x +2

Step-by-step explanation:

To write an equation into slope-intercept form, or y = mx + b format, we need to find the y-intercept of the line and its slope and substitute values for m and b.

1) First, find the y-intercept. The y-intercept is the point at which the line intersects the y-axis. Reading the graph, we can see that the line passes the y-axis at the point (0,2), thus that is the y-intercept.

2) Next, find the slope. Pick out two points on the graph to use for the slope formula, \frac{y_2-y_1}{x_2-x_1}. I chose to work with (0,2) and (6,1). Now, substitute the two points' x and y values into the formula appropriately and solve:

\frac{(1)-(2)}{(6)-(0)} \\= \frac{1-2}{6-0}\\= \frac{-1}{6}

Thus, -\frac{1}{6}  is the slope.

3) Now, substitute the calculated values into the y = mx + b format. The b represents y-value of the y-intercept. The y-intercept is (0,2), thus substitute 2 for b. The coefficient of the x term, or m, represents the slope, thus substitute -\frac{1}{6} for m. This will give the following equation of the line in slope-intercept format:

y = -\frac{1}{6}x +2

4 0
3 years ago
Read 2 more answers
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