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igomit [66]
3 years ago
10

In order to take honors-level math, Lisa must have an average of 85 on her math tests. Her scores so far are 85, 70, and 98. Wha

t is the
minimum score Lisa needs on the fourth test to get into honors math dass?
A 80
B 84
C. 85
D. 87
Mathematics
1 answer:
Mila [183]3 years ago
5 0

Answer:

d) 87

Step-by-step explanation:

to solve this lets set up the equation

\frac{85+70+98+x}{4} =85\\\frac{253+x}{4} =85

then we multiply 4 on both sides

253+x=340

and subtract 253 on both sides

x=87

to double check take the averages

(87+85+70+98)/4=85

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Artist 52 [7]

Answer:

1 + 1 - 1 + 1 - 0 x 0

8 0
3 years ago
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Find (a) the circumference and (b) the area of the circle. Use 3.14 or 22/7 for pi. Round your answer to the nearest whole numbe
balandron [24]

Answer:

a)219.8

b)3846.5

Step-by-step explanation:

a) circumference is pi*diameter, so 3.14*70 is 219.8

b) area is pir^2, and radius is 1/2 of diameter, it would be 3.14*35^2, so 3.14*1225, so 3,846.5 in^2.

4 0
3 years ago
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What polynomial must be added to 3x2 + 4x + 7 to obtain the sum of 0?
Dovator [93]

Answer:

do (3x2+4x+7)+y=0

y=-3x^2-4x-7

5 0
3 years ago
A company sells dog treats. The company's fixed and variable costs are modeled by the function C(x)=1.4x+2000. Their revenue is
Naya [18.7K]

<u>Answer:</u>

<u>20,000 packages.</u>

<u>Step-by-step explanation:</u>

The rest of the question is as following:

If x represents the number of packages of dog treats, how many packages do they have to sell to break even? Round your answer to the nearest whole number, and do not include units.

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

The function of fixed and variable costs ⇒ C(x) = 1.4x + 2000

The function of revenue ⇒ R(x) = 1.5x

The even situation will happen when costs = revenue

∴ C(x) = R(x)

∴ 1.4 x + 2000 = 1.5x

Solve for x:

∴ 1.5x - 1.4x = 2000

∴ 0.1 x = 2000

∴ x = 2000/0.1 = 20,000

The even will happen when they sell <u>20,000</u> packages

So, To break even, they have to sell more than 20,000 packages .

3 0
3 years ago
Pleas help me find the composition of goh and it’s domain
Ksivusya [100]

Solution:

The function is given below as

\begin{gathered} g(x)=\frac{x+4}{x-1} \\ h(x)=2x-1 \end{gathered}

To figure out

(goh)(x)

To do this , we will substitute x= 2x-1 in g(x)

\begin{gathered} g(x)=\frac{x+4}{x-1} \\ g(h)(x)=\frac{2x-1+4}{2x-1-1} \\ g(h)(x)=\frac{2x+3}{2x-2} \end{gathered}

Hence,

The composte function will be

(goh)(x)=\frac{2x+3}{2x-2}

Step 2:

To figure out the domain,

In mathematics, the domain of a function is the set of inputs accepted by the function.

Hence,

The domain of the function is

\begin{bmatrix}\mathrm{Solution:}\:&\:x1\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:1\right)\cup \left(1,\:\infty \:\right)\end{bmatrix}

5 0
1 year ago
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