All categories

3 years ago

Which expression demonstrates the distributive property applied to the expression 4(3 + 7)?

Mathematics

2 answers:

____ [38]3 years ago

7 0

D would be the answer, since in this case, 4 would distribute to the 3, and the 7.
4(3) + 4(7)

algol [13]3 years ago

5 0

D. Because you multiply each term by 4 but they're still added together :)

You might be interested in

Find the value of k such that the polynomial x2

Sedaia [141]

Answer:

Step-by-step explanation:

https://www.toppr.com/ask/question/find-the-value-of-k-such-that-the-polynomial-x2k6x22k1/

7 0

3 years ago

- 4 ( x - 5 ) = 92<br><br> What is x?

Stells [14]

Answer:

Let's solve your equation step-by-step.

−4(x−5)=92

Answer:

x=−18

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The probability that it will snow in a certain town on January 1st is 0.29 find the probability that in a given year it will not

Mashutka [201]

Answer:

0.71

Step-by-step explanation:

The probability is a chance of an event happening. The probability of assured event is 100% or 1.

If there is no chance of an event happening the probability is zero (0).

The probability of snowing = 0.29

The probability of not snowing = 1 - 0.29

= 0.71

5 0

3 years ago

Angelica’s bouquet of a dozen roses contains 5 white roses. The rest of the roses are pink. What fraction of the bouquet is pink

PolarNik [594]

7/12 for pink roses (:

7 0

3 years ago

Read 2 more answers

I will give lots of points please help

aalyn [17]

Answer:

a) 81π in³

b) 27 in³

c) divide the volume of the slice of cake by the volume of the whole cake

d) 10.6%

e) see explanation

Step-by-step explanation:

The cake can be modeled as a <u>cylinder </u>with:

diameter = 9 in
height = 4 in

$\sf Radius=\dfrac{1}{2}diameter \implies r=4.5\:in$

$\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

$\begin{aligned}\sf \implies \textsf{Volume of the cake} & =\pi (4.5)^2(4)\\ & = \sf \pi (20.25)(4)\\ & = \sf81 \pi \:\: in^3\end{aligned}$

$\begin{aligned}\textsf{Circumference of the cake} & = \sf \pi d\\& = \sf 9 \pi \:\:in\end{aligned}$

If each slice of cake has an arc length of 3 in, then the volume of each slice is 3/9π of the entire volume of the cake.

$\begin{aligned}\implies \textsf{Volume of slice of cake} & = \sf \dfrac{3}{9 \pi} \times \textsf{volume of cake}\\\\& = \sf \dfrac{3}{9 \pi} \times 81 \pi\\\\& = \sf \dfrac{243 \pi}{9 \pi}\\\\& = \sf 27\:\:in^3\end{aligned}$

The volume of each slice of cake is 27 in³.

The volume of the whole cake is 81π in³.

To calculate the probability that the first slice of cake will have the marble, divide the volume of a slice by the volume of the whole cake:

$\begin{aligned}\implies \sf Probability & = \sf \dfrac{27}{81 \pi}\\\\& = \sf 0.1061032954...\\\\ & = \sf 10.6\% \:\:(1\:d.p.)\end{aligned}$

Probability is approximately 10.6% (see above for calculation)

If the four slices of cake are cut and passed out <em>before </em>anyone eats or looks for the marble, the probability of getting the marble is the same for everyone. If one slice of cake is cut and checked for the marble before the next slice is cut, the probability will increase as the volume of the entire cake decreases, <u>until the marble is found</u>. So it depends upon how the cake is cut and distributed as to whether Hattie's strategy makes sense.

3 0

2 years ago