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Burka [1]
3 years ago
14

Jack's family went out to dinner at a diner. The total bill was $78.99. The

Mathematics
2 answers:
puteri [66]3 years ago
6 0

Answer:

The tax was 5.13

Step-by-step explanation:

Take the amount and multiply by the tax rate

78.99 * 6.5 %

Change to a decimal

78.99 * .065

Round to the nearest cent

5.13

Annette [7]3 years ago
5 0

Answer:

the tax was 5.13

Follow me if right.... I copied from the most smartest person on brainly in my opinion.. Which is Wegner with the scooby doo pfp

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Write the following phrase as an algebraic expression:<br><br> 18 less than a number y
zhenek [66]
Y-18
hope this helps!
8 0
3 years ago
Read 2 more answers
If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fo
amm1812

Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

(f \circ g)(x) = f(g(x))

In this case:

f(x) = 4x^2 - 8x - 20

g(x) = 2x + a

So

(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when x = 0, f(g(x)) = 25. So

4a^2 - 8a - 20 = 25

4a^2 - 8a - 45 = 0

Solving a quadratic equation, by Bhaskara:

\Delta = (-8)^2 - 4(4)(-45) = 784

x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5

x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5

The possible values are a = -2.5 or a = 4.5.

5 0
3 years ago
Please help me with this trigonometry question. Brainliest available.
faltersainse [42]
Considering the angle a by cosine rule
11^2 =7 ^2 +15^2 - 2(7)(15)cos(a)
When you do the maths,
Cos(a) =153/210 =0.729
a= cos inverse of 0.729
a=43 degrees


Considering angle b
7^2=15^2 +11^2 -2(11)(15) cos(b)
This will result in cos(b) =297/330=0.9
b= cos inverse of 0.9 = 25.8 degrees


Considering angle c
15^2=7^2 +11^2 - 2(11)(7) cos(c)
Cos(c) will be = -55/154 = -0.357
c= cos inverse of -0.357=110.9

Comparing the angles a,b and c,
C is the largest size in the triangle with an angle of 110.9 degrees

Am I right please ??
5 0
2 years ago
A company produces packets of soap powder labeled "Giant Size 32 Ounces." The actual weight of soap powder in such a box has a N
Stolb23 [73]

Answer:

0.0764

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 33, \sigma = 0.7

What proportion of boxes is underweight (i.e., weigh less than 32 oz)?

This is the pvalue of Z when X = 32. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{32 - 33}{0.7}

Z = -1.43

Z = -1.43 has a pvalue of 0.0764, which is the correct answr

6 0
3 years ago
Lake Okeechobee’s water level was at sea level in April. In May, the lake’s level rose 4 inches and in June it rose 2 more inche
Mice21 [21]

Answer:

Just here for points XD.

Step-by-step explanation:

7 0
3 years ago
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