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2 years ago

Which equation represents this number sentence? Two more than one-third of a number is 8

Mathematics

2 answers:

Natali [406]2 years ago

8 0

Answer:

B. $2+\frac{1}{3}n=8$

Step-by-step explanation:

Let n be the number.

We are asked to write an mathematical expression for the given word phrase.

One third of a number, n, would be $\frac{1}{3}n$ .

Two more than one third of a number, n, would be $2+\frac{1}{3}n$ .

We are told that Two more than one-third of a number is 8. We can represent this information in an equation as:

$2+\frac{1}{3}n=8$

Therefore, option B is the correct choice.

frez [133]2 years ago

8 0

Two more means something + 2
One third = 1/3
Of a number is some undefined number i.e. a variable
is 8 just means mean = 8

Can you figure this out?

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In a given course a student receives preliminary examination grades of 81, 85, and 95. The final examination is weighed for one-

Vsevolod [243]

Answer:

B. 96

Step-by-step explanation:

Let x represent score of final third exam.

We have been given that in a given course a student receives preliminary examination grades of 81, 85, and 95.

Let us find average of preliminary scores.

$\frac{81+85+95}{3}=\frac{261}{3}=87$

We have been given that the final examination is weighed for one-third and the average of the preliminary grades is weighed as 2/3 of the final grade. This means that final grade is equally weighed into 3 parts. The two parts are 87 each and third part is x.

Using our given information, we can set an equation as:

$\frac{87+87+x}{3}=90$

$\frac{174+x}{3}=90$

$\frac{174+x}{3}*3=90*3$

$174+x=270$

$174-174+x=270-174$

$x=96$

Therefore, the final examination grade should be 96 for a semester average of 90.

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2 years ago

Kate deposits $800 in a bank

Rina8888 [55]

Answer:

Step-by-step explanation:

Use formula

$I=P\cdot r\cdot t,$

where

I = interest

P = rpincipal

r = rate (as decimal)

t = time (in years)

In your case,

P = $800

r = 0.04 (4%)

t = 5,

$I=\$800\cdot 0.04\cdot 5\\ \\I=\$160$

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1 year ago

What is the y-intercept of the function f(x)=4 - 5x? (Hint: use the commutative property)

Tom [10]

Answer:

Therefore the y-intercept of the function is 4.

Step-by-step explanation:

Intercepts:

The line which intersect on x-axis and y-axis are called intercepts.

y-intercept: The line or function which intersect at y-axis. So when the line intersect at y-axis, X coordinate is zero.

So in the given Function Put x = 0 we will get the y-intercept

$f(x)= 4-5x$

Put x =0

$f(0)= 4-5\times 0$

$f(0)= 4-0=4$

Therefore the y-intercept of the function is 4.

7 0

2 years ago

Which set of angles can form a triangle

Aleksandr [31]

Answer:

2 acute and 1 right

Step-by-step explanation:

The sum of angles of a triangle is always 180°.

Right angles are 90°, and obtuse angles are more than 90°. If each of the angles in the triangle is more than 0°, there obviously cannot be two angles that measure 90° or more. Just the sum of those two would be 180° or more, and that sum doesn't include the third angle.

So, any triangle can have at most one angle that is 90° or more (right or obtuse). The remaining two angles must be acute for the sum of angles to be 180°.

2 acute and 1 right angle can form a triangle

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2 years ago

The graph shows a line and two similar triangles. On a coordinate plane, a line goes through (0, 0) and (8, 2). A small triangle

drek231 [11]

Answer:

$\dfrac{y}{x}=\dfrac{1}{4}$

Step-by-step explanation:

When the line goes through the origin (0, 0), we can say that y is proportional to x. Then the ratio of y (the vertical measure) to x (the horizontal measure) is the same as the ratio of "rise" (the vertical change) to "run" (the horizontal change).

y/x = rise/run = 1/4

The equation of the line is ...

y/x = 1/4

4 0

1 year ago

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