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3 years ago

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tomika ran 84 miles in 4 weeks. She ran 7 days each week. If she ran the same number of miles each day, how many miles did she r

un each day?

1 answer:

LekaFEV [45]3 years ago

3 0

Three miles a day should be the correct answer

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Write the expansion of each binomial. (x-y)^4

TEA [102]

When you expand the binomial, you isolate each of the parts.
So, (x-y)^4 would turn into...

x^4 - y^4

The powers stay the same because (outside the parenthesis) you multiply them with whatever is inside the parenthesis. In this case, would be 1. All variables and numbers without a listed power have a power of one. Multiply 4*1 to get 4.

4 0

3 years ago

What is the value of x? <br> -2/7x+6+1/7x=18 <br> x=

Alenkinab [10]

$- \frac{2}{7} x$ + 6 + $\frac{1}{7} x$ = 18

First, simplify $\frac{2}{7} x$ to $\frac{2x}{7}$ / Your problem should look like: $-\frac{2x}{7}$ + 6 + $\frac{1}{7} x$ = 18
Second, simplify $\frac{1}{7} x$ to $\frac{x}{7}$ / Your problem should look like: $- \frac{2x}{7}$ + 6 + $\frac{x}{7}$ = 18
Third, simplify $- \frac{2x}{7}$ + 6 + $\frac{x}{7}$ to $- \frac{x}{7}$ + 6 / Your problem should look like: $-\frac{x}{7}$ + 6 = 18
Fourth, regroup terms. / Your problem should look like: 6 - $\frac{x}{7}$ = 18
Fifth, multiply both sides by 7. / Your problem should look like: 42 - x = 126
Sixth, subtract 42 from both sides. / Your problem should look like: -x = 126 - 42
Seventh, simplify 126 - 42 to 84. / Your problem should look like: -x = 84
Eighth, multiply both sides by -1. / Your problem should look like: x = -84

Answer: x = -84

4 0

3 years ago

Channing jogs 10 miles a week.how many miles will she jog in 52 weeks

hichkok12 [17]

The total miles are given by multiplying the miles per week and the number of weeks:
total = 10*52 = 520
so the total miles she will jog are 520 miles

8 0

3 years ago

Read 2 more answers

express the limit as a definite integral on the given interval. lim n → [infinity] n ∑ i = 1 cos x i x i δ x , [ 2 π , 4 π ]

Lemur [1.5K]

The limit as a definite integral on the interval $\lim _{n \rightarrow \infty} \sum_{i=1}^n \frac{\cos x_i}{x_i} \Delta x$ on [2π , 4π] is $\int_{2\pi}^{4 \pi} \frac{\cos x}{x} d x$$ .

<h3>What is meant by definite integral?</h3>

A definite integral uses infinitesimal slivers or stripes of the region to calculate the area beneath a function. Integrals can be used to represent a region's (signed) area, the cumulative value of a function changing over time, or the amount of a substance given its density.

Definite integral, a term used in mathematics. is the region in the xy plane defined by the graph of f, the x-axis, and the lines x = a and x = b, where the area above the x-axis adds to the total and the area below the x-axis subtracts from the total.

If an antiderivative F exists for the interval [a, b], the definite integral of the function is the difference of the values at points a and b. The definite integral of any function can also be expressed as the limit of a sum.

Let the equation be

$\int_a^b f(x) d x=\lim _{n \rightarrow \infty} \sum_{i=1}^n f\left(x_i\right) \Delta x$

substitute the values in the above equation, we get

= $\lim _{n \rightarrow \infty} \sum_{i=1}^n \frac{\cos x_i}{x_i} \Delta x$ on [2π, 4π],

simplifying the above equation

$\int_{2\pi}^{4 \pi} \frac{\cos x}{x} d x$$

To learn more about definite integral refer to:

brainly.com/question/24353968

#SPJ4

8 0

1 year ago

Solve this system of equations: y = x2 – 3x + 12 y = –2x + 14 4. Substitute the values of x, –1 and 2, into either original equa

SOVA2 [1]

One solution is (–1, <span> ⇒ 16</span>).

The second solution (2, <span> ⇒ 10</span>). your welcome

4 0

3 years ago

Read 2 more answers