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Marina86 [1]
4 years ago
5

Use the Distributive Property to write each expression as an equivalent algebraic expression. (7 + a)3 Question 4 options: 3(7a)

21 + 3a 10 + 3a 7 + 3a
Mathematics
1 answer:
AysviL [449]4 years ago
5 0

Answer:

(B)21+3a

Step-by-step explanation:

An expression is said to be distributive when:

(a+b)c=a \cdot c+b \cdot c

Given the algebraic expression: (7 + a)3

Applying the distributive property

(7 + a)3 = 7 \cdot 3+a \cdot 3\\=21+3a

An equivalent expression is 21+3a.

The correct option is B

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Please help me find X and Y! Thank you :)
shepuryov [24]

Answer:

The value of x is -29 and the value of y is -26

Step-by-step explanation:

we know that

If two figures are congruent, then its corresponding angles and its corresponding sides are congruent

so

The length of the corresponding sides must be equal

-2x+2y=6 ----> equation A

-7x+8y=-5 ----> equation B

Note

The length of one side of the triangle equal to -5 is not logical, however we will continue with the resolution of the problem for didactic purposes.

Solve the system by graphing

Remember that

the solution of the system of equations by graphing is the intersection point both graphs

using a graphing tool

The solution is the point (-29,-26)

see the attached figure

therefore

The value of x is -29 and the value of y is -26

3 0
3 years ago
I need help finding the y-intercept of this line
CaHeK987 [17]
The y-intercept of the line is (0, 12/7).

In the slope-intercept form, y = mx + b:

m = slope
b = y-intercept

The y-intercept is the point on the line where it crosses the y-axis, and has coordinates of (0, b). It is also the value of y when x = 0.

In the slope-intercept form, the value of b is the y-coordinate of the y-intercept, (0, b).

Therefore, the y-intercept = (0, 12/7).

Please mark my answers as the Brainliest, if you find this helpful :)
4 0
2 years ago
Carvel sold 87 scoops of ice cream in one hour. 65 of them were vanilla ice cream. What is the probability that the next scoop t
Pavlova-9 [17]

Answer:

74.71%

Step-by-step explanation:

To calculate the experimental probability of the next scoop that they sell being vanilla, we need to divide the amount of scoops of ice cream that were vanilla (65 scoops) by the total amount of scoops of ice cream sold (87 scoops):

Probability of next scoop being vanilla = 65 / 87 = 0.7471  = 74.71%

The experimental probability of the next scoop they sell being vanilla is 74.71%.

7 0
3 years ago
Blair & Rosen (B&R) plc is a U.K. based brokerage firm that specializes In building investment portfolios designed to me
algol13

Answer:

Blair & Rosen (B&R) Plc.

Recommendation for moderate investor:

Internet fund = 96/240 * $500,000 = $200,000

Blue-chip fund = 144/240 * $500,000 = $300,000

Annual return for the portfolio:

Internet fund = $200,000 * 12% =  $24,000

Blue-chip fund = $300,000 * 9% = $27,000

Total portfolio returns =                  $51,000

Annual returns of portfolio = $51,000/$500,000 * 100 = 10.2%

Recommendation for aggressive investor:

Internet fund = 192/320 * $500,000 = $300,000

Blue-chip fund = 128/320 * $500,000 = $200,000

Step-by-step explanation:

a) Data and Calculations:

Maximum investible savings = $500,000

Projected annual return of the internet fund = 12%

Projected annual return of the blue-chip fund = 9%

Maximum determined amount to invest in the internet fund = $350,000

Risk rating for the internet fund = 6/1,000

Risk rating for the blue-chip fund = 4/1,000

Maximum risk rating for a moderate investor = 240

Maximum risk rating for an aggressive investor = 320

Recommendation for moderate investor:

Internet fund = 96/240 * $500,000 = $200,000

Blue-chip fund = 144/240 * $500,000 = $300,000

Annual return for the portfolio:

Internet fund = $200,000 * 12% = $24,000

Blue-chip fund = $300,000 * 9% = $27,000

Total returns = $51,000

Annual returns of portfolio = $51,000/$500,000 * 100 = 10.2%

Recommendation for aggressive investor:

Internet fund = 192/320 * $500,000 = $300,000

Blue-chip fund = 128/320 * $500,000 = $200,000

4 0
3 years ago
Find the distance bewteen points H(8,4) and k(7,6) to the nearest hundreath
OleMash [197]

Answer:

2.24

Step-by-step explanation:

If you look at the points on the graph, you can see that the distance between them is also the hypotenuse of a right triangle, meaning you can calculate the distance using the pythagorean theorem.

a^2+b^2=c^2\\1^2+2^2=c^2\\1+4=c^2\\c=\sqrt{5}\\c\approx2.2361

8 0
3 years ago
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