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AnnZ [28]
3 years ago
6

A beetle was running along a number line, the bug ran from 24 to 78. What distance did it cover? If this run took the bug 9 seco

nds, what was its average speed?
Mathematics
1 answer:
taurus [48]3 years ago
4 0

Answer:

10 inches a second and it traveled 54 inches.

Step-by-step explanation:

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Isabel is making lemonade for a party with 12 guests. She wants to make equal servings that are at least 2 cups each. She makes
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1 quart = 4 cups
7 quarts = 28 cups

1 guest needs 2 cups
12 guests need 24 cups

She has 28 and needs 24, yes there is enough
7 0
3 years ago
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Can someone help me please
babunello [35]

If the functions are inverses, then f(g(x)) = x.

A.

\displaystyle f(g(x))=f\left(\frac{3x+1}{3}\right)=\frac{1}{\frac{3x+1}{x}-3}\\\\=\frac{1}{\left(\frac{3x+1-3x}{x}\right)}=\frac{1}{\left(\frac{1}{x}\right)}=x

The functions are inverses of each other.

B. The domain of f(x) = x≠3. The domain of g(x) is x≠0.

The domain of f(g(x)) is (-∞, 0) ∪ (0, ∞).

The domain of g(f(x)) is (-∞, 3) ∪ (3, ∞).

4 0
3 years ago
Using the information above regarding the proportion of agenda-less meetings, choose the correct conclusion for this hypothesis
ruslelena [56]

Answer: There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.

Step-by-step explanation:

Given: H_0:p=0.45 \\ H_a:p>0.45

The p-value for this hypothesis test is 0.025.

The level of significance is α=0.05

As p-value< α  ∵0.025< 0.05

[if p-value< α , we reject H_0]

then, we reject the null hypothesis.

i.e. We have sufficient evidence to support the alternative hypothesis.

Hence, the correct statement is : There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.

3 0
3 years ago
Write and solve an equation to find the unknown side length x (in inches). Perimeter =24.2 in. Sides of the shape are 8.3, 8.3,
Anastasy [175]

Answer:

Perimeter of shape,which is a convex polygon i.e quadrilateral = 24.2 in

Sides are 8.3 in, 8.3 in, 3.8 in ,and length of fourth side be x in.

As , Perimeter = Sum of all sides

                 → 24.2 = 8.3 + 8.3 + 3.8 + x

                 → 24.2 = 16.6 +3.8 + x

                 → 24.2 = 20 .4 + x

Keeping like terms on one side, of equation

            → 24.2 - 20.4 = x

            → 3.8 = x

            → x = 3.8

So, length of fourth side = 3.8 in

The given shape is definately either a Parallelogram or a kite.



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Divide it and get yo answer
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