Select all expressions that represent a correct solution to the equation 6(x+4)=20. copied for free from openupresources.Org Select all that apply: A. (20−4)÷6 B. 16(20−4) C. 20−6−4 D. 20÷6−4 E. 1/6(20−24) F. (20−24)÷6

Question

Today at 2:24 PM
Mathematics

Answered

Select all expressions that represent a correct solution to the equation 6(x+4)=20. copied for free from openupresources.Org Select all that apply: A. (20−4)÷6 B. 16(20−4) C. 20−6−4 D. 20÷6−4 E. 1/6(20−24) F. (20−24)÷6

Answer :

Other Questions

Which of the following was an advantage that Bantu-speaking farmers had in their encounters with gathering and hunting groups? A) Horse-drawn chariots B) Yam-ba

Hydrogen peroxide, H₂O₂, is a water-soluble compound. The concentration of an aqueous hydrogen peroxide solution that is 3% by mass H₂O₂ is used as an antisepti

Freire did very poorly on his last arithmetic test. The tendency to make the fundamental attribution error might lead his sixth-grade teacher to conclude that F

Quantity demanded: a. shows how much sellers are willing and able to sell at different prices. b. is the amount that buyers are willing and able to buy at a par

Freire did very poorly on his last arithmetic test. The tendency to make the fundamental attribution error might lead his sixth-grade teacher to conclude that F

Explain the meaning and notion of Suarai as perceived by the plantation workers How did theyrespond to the call of the Non-Cooperation movement"

Increasing direct taxes and reducing public expenditure will help to achievehey dudethanks a lot

Determine the integer whose product with (-1) is: A. 58 B. 0 C. -225

Which of the followingcan be beaten into thin sheets?

Saritha used a thick wire and Lalitha used a thin wire of same length and material as heating element. What do you say about the amount of heat energy produced

In a series circuit, loads which have the same voltage dropped across them will have ? . Select one: a. different resistance b. higher resistance values c. the

President Gerald Ford referred to inflation as: a.a blight on our nation's economy. b.a necessary evil to combat high unemployment. c.public enemy number one. d

Due to the effect, the surface wind is deflected to the in the Northern Hemisphere, and to the in the Southern Hemisphere

Becky's department has seen a number of layoffs in the last two months, and employee morale is very low. This is affecting the work atmosphere and productivity

Out of 230 racers eho started the marathon, 209 completed the race, 14 gave up, and 7 were disqualified. What percentagr did not complete the marathon?

A 10-V battery supplies a constant current of 0.5 amp to a resistance for 30 min. (a) Determine the resistance, in ohms. (b) For the battery, determine the amou

Having conscious beliefs, feelings, and behaviors of hostility toward outgroup members that you are perfectly willing to admit reflects what type of bias?

Sixteen-year-old Brenda questions her parents' values but does not fully accept her friends' standards either. According to Erikson's stages of development, Bre

Pavlov's brand of conditioning views organisms as , while Skinner's brand of conditioning views organisms as .

Combine the like terms to create an equivalent expression: \large{-k-(-8k)}−k−(−8k)minus, k, minus, (, minus, 8, k, )

vijayalalitha vijayalalitha · Answer 1 · 2025-05-01T14:30:03-04:00

Option D: [tex]20 \div 6-4[/tex] is the correct solution to the equation [tex]6(x+4)=20[/tex]

Option E: [tex]\frac{1}{6} (20-24)[/tex] is the correct solution to the equation [tex]6(x+4)=20[/tex]

Option F: [tex](20-24) \div 6[/tex] is the correct solution to the equation [tex]6(x+4)=20[/tex]

Explanation:

The expression is [tex]6(x+4)=20[/tex]

Let us find the value of x.

[tex]\begin{aligned}6(x+4) &=20 \\6 x+24 &=20 \\6 x &=-4 \\x &=-\frac{2}{3}\end{aligned}[/tex]

Now, we shall find the expression that is equivalent to the value [tex]x=-\frac{2}{3}[/tex]

Option A: [tex](20-4) \div 6[/tex]

Simplifying the expression, we have,

[tex]\frac{16}{6}=\frac{8}{3}[/tex]

Since, [tex]\frac{8}{3}[/tex] is not equivalent to [tex]x=-\frac{2}{3}[/tex], the expression [tex](20-4) \div 6[/tex] is not equivalent to the equation [tex]6(x+4)=20[/tex]

Hence, Option A is not the correct answer.

Option B: [tex]16(20-4)[/tex]

Simplifying the expression, we have,

[tex]16(16)=256[/tex]

Since, 256 is not equivalent to [tex]x=-\frac{2}{3}[/tex], the expression [tex]16(20-4)[/tex] is not equivalent to the equation [tex]6(x+4)=20[/tex]

Hence, Option B is not the correct answer.

Option C: [tex]20-6-4[/tex]

Simplifying the expression, we have,

[tex]20-10=10[/tex]

Since, 10 is not equivalent to [tex]x=-\frac{2}{3}[/tex], the expression [tex]20-6-4[/tex] is not equivalent to the equation [tex]6(x+4)=20[/tex]

Hence, Option C is not the correct answer.

Option D: [tex]20 \div 6-4[/tex]

Using PEMDAS and simplifying the expression, we have,

[tex]$\begin{aligned}(20 \div 6)-4 &=\frac{10}{3}-4 \\ &=\frac{10-12}{3} \\ &=-\frac{2}{3} \end{aligned}$[/tex]

Thus, [tex]-\frac{2}{3}[/tex] is equivalent to [tex]x=-\frac{2}{3}[/tex], the expression [tex]20 \div 6-4[/tex] is equivalent to the equation [tex]6(x+4)=20[/tex]

Hence, Option D is the correct answer.

Option E: [tex]\frac{1}{6} (20-24)[/tex]

Simplifying the expression, we have,

[tex]$\begin{aligned} \frac{1}{6}(20-24) &=\frac{1}{6}(-4) \\ &=-\frac{4}{6} \\ &=-\frac{2}{3} \end{aligned}$[/tex]

Thus, [tex]-\frac{2}{3}[/tex] is equivalent to [tex]x=-\frac{2}{3}[/tex], the expression [tex]\frac{1}{6} (20-24)[/tex] is equivalent to the equation [tex]6(x+4)=20[/tex]

Hence, Option E is the correct answer.

Option F: [tex](20-24) \div 6[/tex]

Simplifying the expression, we have,

[tex]$\begin{aligned}(20-24) \div 6 &=-\frac{4}{6} \\ &=-\frac{2}{3} \end{aligned}$[/tex]

Thus, [tex]-\frac{2}{3}[/tex] is equivalent to [tex]x=-\frac{2}{3}[/tex], the expression [tex](20-24) \div 6[/tex] is equivalent to the equation [tex]6(x+4)=20[/tex]

Hence, Option F is the correct answer.