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Nina [5.8K]
3 years ago
15

Joe wants his overall test average to be 85%. What score would he need on his next test if the test scores he has so far are: 70

%, 105%, 75%, 90%, 90%?
Mathematics
1 answer:
yan [13]3 years ago
6 0

Answer:

He would need a score of 0.8 = 80%.

Step-by-step explanation:

Average score:

The average score is the sum of all scores divided by the number of tests.

What score would he need on his next test if the test scores he has so far are: 70%, 105%, 75%, 90%, 90%?

Combining with the next text, there will be 6, and the sum will be: 0.7 + 1.05 + 0.75 + 0.9 + 0.9 + x = 4.3 + x.

Joe wants his overall test average to be 85%.

So

\frac{4.3 + x}{6} = 0.85

4.3 + x = 5.1

x = 5.1 - 4.3 = 0.8

He would need a score of 0.8 = 80%.

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1 - (1/4 + 2/3)

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Read 2 more answers
Matt and Mark went to El Rodeo to have some dinner. Matt ordered 3 tacos and 2 enchiladas, which cost him $4.93. Mark ordered 2
lord [1]

Answer:

The cost of one taco is $0.87 and the cost of one enchilada is $1.16

Step-by-step explanation:

Let the cost of tacos be X

and cost of enchiladas be y

So, by using given data, we have following equations

3X + 2Y = 4.93             (1)

2X + 4Y = 6.38             (2)

So, first multiply 1st equation by 2 and 2nd equation by 3, then subtracting 1st equation by 2nd.

= 2 × ( 3X + 2Y = 4.93)       (1)

= 3 × (2X + 4Y = 6.38)        (2)

= - (6X + 4Y = 9.86)              (1)

= 6X + 12y = 19.14            (2)

= 8Y = 9.28

Y = 9.28 ÷ 8 = 1.16

By putting the value of Y in equation 1, we get

3X + 2(1.16) = 4.93

3X + 2.32 = 4.93

X = 2.61 ÷ 3 = 0.87

Hence, the cost of one taco is $0.87 and the cost of one enchilada is $1.16.

8 0
3 years ago
Write the equation of a piecewise function with a jump discontinuity at x =3. Then, determine which step of the 3-step test for
seraphim [82]

Answer:

Here's a possible example:

Step-by-step explanation:

f(x) =\begin{cases} x & \quad x < 3\\x+3 & \quad x \geq 3\\\end{cases}

Each piece is linear, so the pieces are continuous by themselves.

We need consider only the point at which the pieces meet (x = 3).

\displaystyle \lim_{x \longrightarrow 3^{-}} f(x) = \lim_{x \longrightarrow 3^{-}} x = 3\\\\\displaystyle \lim_{x \longrightarrow 3^{+}} f(x) = \lim_{x \longrightarrow 3^{+}} x+3 = 6\\\\f(3) = x + 3 = 6\\\\\displaystyle \lim_{x \longrightarrow 3^{-}} f(x) \neq f(3)

The left-hand limit does not equal ƒ(x), so there is a jump discontinuity at x =3.

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4 years ago
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