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1 year ago

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Lizzie has already written 120 words of an essay. She writes 5 words per minute. Write an expression to represent the total numb

er of words she has written after her writing session today. Let m represent the number of minutes passed during today’s session.

1 answer:

Wittaler [7]1 year ago

4 0

Answer:

The Expression: 120 + 5m

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Clare paid 50% more for her notebook than Priya paid for hers. Priya paid x for her notebook and Clare paid y dollars for hers.

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Y = x - 50 percent !

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Can I Get Help With This:

Agata [3.3K]

Answer:

See the attached

Step-by-step explanation:

<u>Rectangular prism</u> — the lower case letters l, w, h in the formula stand for the values of Length, Width, and Height of the prism. Put the numbers in the formula and do the arithmetic. (As you know, when numbers are written next to each other, it means they are multiplied.)

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<u>Triangular Prism</u> — The formula is essentially ...

V = Bh

where B is the area of the (triangular) base of the prism, and h is its height (or length in this case). The area of the triangular base is given by the formula ...

B = (1/2)bh

where b is the base of the triangle (10 mm) and h is the height of the triangle (12 mm). The fact that the sides of the triangle are 13 mm is irrelevant for the volume calculation (but will be important for surface area calculation).

So, some confusion could arise here because the variable h is used for two different measurements of this prism. The attachment tries to sort it out for you using colors and arrows to identify what is what. (I apologize for the green not coming out very clear. The number in the formula is the same 10 mm number indicated on the prism diagram.)

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3 years ago

5. Friday night’s hockey game was attended by 180 students. This is about 60% of the school’s population. What is the total popu

Ugo [173]

180*60%=180*60/100=10800/100=108
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2 years ago

Someone please help!! Determine the intercept of the line.

hichkok12 [17]

Answers:

x intercept is (-7.5, 0)

y intercept is (0, 5.5)

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

How to get these answers:

Simply look at where the graph crosses the x axis to determine the x intercept. This is directly halfway between the -8 and -7, so the line crosses through -7.5 on the x axis meaning that the x intercept is located at (-7.5, 0)

Similarly, the y intercept is (0, 5.5) as it crosses exactly halfway between the 5 and 6 on the y axis.

Any point is of the form (x,y)

The x intercept always has y = 0. The y intercept always has x = 0.

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2 years ago

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Which description of the vector shown is correct ?

BartSMP [9]

Answer:

(B) The magnitude is 7sqrt2, and the direction angle is approximately 135 degrees.

Step-by-step explanation:

From the figure, the coordinate of the tail of the vector,

$(x_1,y_1)=(3,-6).$

The coordinate of the head of the vector,

$(x_2,y_2)=(-4,1).$

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By using the distance formula,

the magnitude of the vector $= \sqrt{(1-(-6))^2+(-4-3)^2}$

$=\sqrt{(7^2+(-7)^2}\\\\=\sqrt{98}\\\\=7\sqrt{2}$

Now, let $\theta$ be the angle made by the vector with the positive direction of the x-axis, so

$\tan\theta = \frac{y_2-y_1}{x_2-x_1}\\\\\Rightarrow \tan\theta = \frac{1-(-6)}{-4-3}=\frac{7}{-7}=-1 \\\\\Rightarrow \theta = \tan^{-1}(-1) \\\\\Rightarrow \theta =\pi- \tan^{-1}1 \\\\\Rightarrow \theta = \pi-\frac{\pi}{4} \\\\\Rightarrow \theta =\frac{3\pi}{4} \\\\\Rightarrow \theta = 135 ^{\circ}.$

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Hence, option (B) is correct.

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2 years ago

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