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Maslowich
2 years ago
8

A test is worth 60 points. Multiple-choice questions are worth 2 points, and

Mathematics
1 answer:
Effectus [21]2 years ago
7 0

Answer:

C. The number of multiple-choice questions plus the number of

short-answer questions is 15.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of multiple-choice questions

y is the number of short-answer questions.

Multiple-choice questions are worth 2 points, and short-answer questions are worth 5 points.

This means that:

2x + 5y = 60

The test has 15 questions.

This means that:

x + y = 15.

Which means that option C is the correct answer.

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The error is in the middle: 2(-12) = -24 not 24.
sergiy2304 [10]

Answer:

There is no question so I can not respond with a answer.

Step-by-step explanation:

4 0
3 years ago
How to answer <br> 100x^2+60x+9
iVinArrow [24]

Answer:

Step-by-step explanation:

Rewrite

100

x

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100

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(

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(

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(

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9

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3

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3

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(

10

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2

+

60

x

+

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(

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Check the middle term by multiplying

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and compare this result with the middle term in the original expression.

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10

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2

a

b

=

60

x

2

a

b

=

60

x

Factor using the perfect square trinomial rule

a

2

+

2

a

b

+

b

2

=

(

a

+

b

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2

a

2

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a

b

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2

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(

a

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and

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3

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3 0
2 years ago
A grasshopper jumps off a tree stump. The height, in feet, of the grasshopper above the ground after t seconds is modeled by the
klasskru [66]

Answer:

Hence, Grasshopper will land on the ground after 1.5 sec.

Step-by-step explanation:

It s given that:

The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function:

h(t)=-t^2+\dfrac{4}{3}t+\dfrac{1}{4}

Now we are asked to find:

In how many seconds will the grasshopper land on the ground?

i.e. we have to find the value of t such that h(t)=0

i.e.

-t^2+\dfrac{4}{3}t+\dfrac{1}{4}=0

i.e. we need to find the roots of the given quadratic equation.

On solving the quadratic equation or plotting it's graph we could observe that the point where h(t)=0 are:

t=-\dfrac{1}{6},t=\dfrac{3}{2}

As time can't be negative hence we will consider:

t=\dfrac{3}{2}=1.5sec

Hence, grasshopper will land on the ground after 1.5 sec.

4 0
3 years ago
If 2x − 4(x + 1) = −12, evaluate x2 − 1.
Vlad [161]
2x-4(x+1)=-13
1) we solve this equation:
2x-4(x+1)=-12
2x-4x-4=-12
-2x=-12+4
-2x=-8
x=-8/-2
x=4

2) we evalute x²-1
x²-1=4²-1=16-1=15

Answer: 15
6 0
3 years ago
a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form
lianna [129]

Answer:

The perimeter of the garden, in meters, is 24\sqrt{2}

Step-by-step explanation:

Diagonal of a square:

The diagonal of a square is found applying the Pythagorean Theorem.

The diagonal of the square is the hypothenuse, while we have two sides.

Diagonal of 12m:

This means that d = 12, side s. So

s^2 + s^2 = 12^2

2s^2 = 144

s^2 = \frac{144}{2}

s^2 = 72

s = \sqrt{72}

Factoring 72:

Factoring 72 into prime factors, we have that:

72|2

36|2

18|2

9|3

3|3

1

So

72 = 2^{3}*3^{2}

So, in simplest radical form:

s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}

Perimeter of the garden:

The perimeter of a square with side of s units is given by:

P = 4s

In this question, since s = 6\sqrt{2}

P = 4s = 4*6\sqrt{2} = 24\sqrt{2}

The perimeter of the garden, in meters, is 24\sqrt{2}

5 0
2 years ago
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