All categories

3 years ago

I need help with numbers 1-6

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

7 0

1) 2.7*10=27 (total number of miles ran by everyone)

4*3=12 (to find how many miles not averaged, multiply)

27-12=15 (how many miles left over for the other 6 people to run)

15/6= 2.5 (your answer)

2. 80/400= .2 (E)

3. Given:

x-5/4=-9/5

Mulitply everything by 4 to cancle it out

x-5=-36/5

add 5 to both sides

x=-11/5

4. A

5.E

6.A

You might be interested in

The difference of two numbers is 9 and the sum of the numbers is 55. what are the numbers?

yKpoI14uk [10]

The two numbers I think is 3&6 because this is a trick question

3 0

3 years ago

Find the area of a trapezoid with base 1 side = 10 base 2 side = 16 and 3

mart [117]

Answer:

Area of Trapezoid is 39 unit²

Step-by-step explanation:

Given as :

For A Trapezoid

The measure of base side 1 = $b_1$ = 10 unit

The measure of base side 2 = $b_2$ = 16 unit

The height of the Trapezoid = h = 3 unit

Let The Area of Trapezoid = A square unit

<u>Now, From Formula</u>

Area of Trapezoid = $\dfrac{1}{2}$ × (sum of opposite base) × height

I.e A = $\dfrac{1}{2}$ × ( $b_1$ + $b_2$ ) × h

Or, A = $\dfrac{1}{2}$ × (10 unit + 16 unit) × 3 unit

Or, A = $\dfrac{1}{2}$ × (26 unit) × 3 unit

Or, A = $\dfrac{1}{2}$ × 78 unit²

Or, A = $\dfrac{78}{2}$ unit²

I.e A = 39 unit²

So, The Area of Trapezoid = A = 39 unit²

Hence, The Area of Trapezoid is 39 unit² . Answer

6 0

3 years ago

Emily knows that the area of a rectangle is 54x9y8 square yards and that it’s length 6x3y4 yards. If she divides the area by the

Furkat [3]

Answer:

Width of the rectangle is: $\mathbf{Width= 9x^6 y^4}$

Option C is correct.

Step-by-step explanation:

Area of rectangle = $54x^9y^8$

Length of rectangle = $6x ^ 3y^4$

We need to find width of rectangle.

The formula used is:

$Area\:of\:rectangle=Length\times Width\\Width=\frac{Area\:of\:rectangle}{Length}$

Putting values in the formula to find Width of rectangle

$Width=\frac{Area\:of\:rectangle}{Length}\\Width=\frac{54x^9y^8}{6x^ 3y^4}$

Using the exponent rule: $\frac{a^m}{a^n}=a^{m-n}$

and simplifying the terms we get

$Width=\frac{54x^9y^8}{6x^3y^4}\\Width=9x^{9-3} \: y^{8-4}\\Width=9x^6 y^{4}$

So, Width of the rectangle is: $\mathbf{Width= 9x^6 y^4}$

Option C is correct.

6 0

3 years ago

The Anderson family is preparing for a family reunion. They think they will need 22 juice boxes for every 6 children who attend.

AleksandrR [38]

If they need 22 boxes for every 6 kids the they would need 44 boxes for every 12 kid

6 0

3 years ago

A bacteria culture starts with 400 bacteria and grows at a rate proportional to its size. After 4 hours, there are 9000 bacteria

Kaylis [27]

Answer:

A) The expression for the number of bacteria is $P(t) = 400e^{0.7783t}$ .

B) After 5 hours there will be 19593 bacteria.

C) After 5.55 hours the population of bacteria will reach 30000.

Step-by-step explanation:

A) Here we have a problem with differential equations. Recall that we can interpret the rate of change of a magnitude as its derivative. So, as the rate change proportionally to the size of the population, we have

$P' = kP$

where $P$ stands for the population of bacteria.

Writing $P'$ as $\frac{dP}{dt}$ , we get

$\frac{dP}{dt} = kP$ .

Notice that this is a separable equation, so

$\frac{dP}{P} = kdt$ .

Then, integrating in both sides of the equality:

$\int\frac{dP}{P} = \int kdt$ .

We have,

$\ln P = kt+C$ .

Now, taking exponential

$P(t) = Ce^{kt}$ .

The next step is to find the value for the constant $C$ . We do this using the initial condition $P(0)=400$ . Recall that this is the initial population of bacteria. So,