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2 years ago

Which of the following illustrates the Distributive Property of Multiplication over addition?

Mathematics

1 answer:

Neporo4naja [7]2 years ago

4 0

Answer:

x(y+z)=(x×y)+(x×z) shows the distributive property of multiplication over addition.

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Dianne purchased a ham for $45.15. How many pounds is the ham if it sells for $6.45 per pound?

Len [333]

It would be 7lbs, you divide the total amount by the amount per pound and you get the weight.

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3 years ago

Kyra started with the number 56.8. If she ended with 568what did she do to the number

svet-max [94.6K]

Wow this ones easy.....Your in high school and i'm in middle school LOL...I'll answer the question.You have to multiplied it by 10

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3 years ago

Read 2 more answers

Jessica had $150 in her savings account on the first Sunday of November. Beginning that week, she saved $35 each week. How much

nika2105 [10]

35 x 6 = 210
210 + 150 = 360
She will have saved $350

7 0

3 years ago

hena made a table to show the steps and algebraic properties used to write an equivalent expression for 3 x minus 5 + 7 x + 6. S

Tcecarenko [31]

Answer:

2. Shena should have written the associative property for step 2.

Step-by-step explanation:

Trust me I just took this quiz on 202 edge and made a 100%

I hope this helps you :)

-KeairaDickson

3 0

3 years ago

Plz help I have no idea how to answer it

saveliy_v [14]

5. Answer: see explanation

Step-by-step explanation:

If the roots are m and 3m, then x = m and x = 3m

⇒ x - m = 0 and x - 3m = 0

⇒ (x - m)(x - 3m) = 0

⇒ x² - 4mx + 3m² = 0

Since x² + px + q = 0 then p = -4m and q = 3m²

3p² = 3(-4m)² 16q = 16(3m²)

= 3(16m²) = 48m²

= 48m²

3p² = 48m² = 16q ⇒ 3p² = 16q

**********************************************************************************************

6. Answer: 8 or 18

Step-by-step explanation:

The Area of the entire rectangle (A = L × w) is 12 × 10 = 120

The Area of the shaded region is 72, so the Area of the non-shaded region is 120 - 72 = 48.

There are two non-shaded triangles.

Bigger non-shaded Δ: L = 12-x, w = 10 ⇒ $A = \dfrac{10(12-x)}{2}$
Smaller non-shaded Δ: L = x, w = x ⇒ $A=\dfrac{x(x)}{2}$

Combine the Areas of both triangles and set it equal to the Area of the non-shaded region:

$\dfrac{x(x)}{2}+\dfrac{10(12-x)}{2}=48\\\\\\\dfrac{x^2}{2}+\dfrac{120-10x}{2}=48\\\\\\\dfrac{x^2-10x+120}{2}=48\\\\\\x^2-10x+120=96\\\\x^2-10x+24=0\\\\(x-4)(x-6)=0\\\\x - 4 = 0\quad or\quad x-6=0\\x=4\qquad or\qquad x=6\\\\\text{Based on the image provided, it appears that the x-value will be the}\\\text{smallest of the two possible solutions (4), but both solutions are valid.}$

Area of ΔBEF:

$\text{when x = 4, A =}\ \dfrac{4(4)}{2}=\dfrac{16}{2}=8\\\\\\\text{when x = 6, A =}\ \dfrac{6(6)}{2}=\dfrac{36}{2}=18$

5 0

3 years ago