Math

QuestionCreate a sentence for each equation: 21. 7(p+23)=1027(p+23)=102, 22. r215=t+19r^{2}-15=t+19, 23. 25v+34=23x2\frac{2}{5} v+\frac{3}{4}=\frac{2}{3} x^{2}, 24. 1345z=43y3\frac{1}{3}-\frac{4}{5} z=\frac{4}{3} y^{3}, 25. g+10=3gg+10=3 g.

Studdy Solution

STEP 1

Assumptions1. Each equation represents a mathematical relationship between variables. . We are asked to write a sentence for each equation, which means we need to describe the relationship expressed by each equation in words.

STEP 2

Let's start with the first equation 7(p+23)=1027(p+23)=102.
This equation can be interpreted as "Seven times the sum of a number 'p' and23 equals102."

STEP 3

Moving on to the second equation r215=t+19r^{2}-15=t+19.
This equation can be interpreted as "The difference between the square of a number 'r' and15 is equal to the sum of a number 't' and19."

STEP 4

Now, let's interpret the third equation 2v+34=23x2\frac{2}{} v+\frac{3}{4}=\frac{2}{3} x^{2}.
This equation can be interpreted as "Two-fifths of a number 'v' plus three-fourths is equal to two-thirds of the square of a number 'x'."

STEP 5

Next, we interpret the fourth equation 1345z=43y3\frac{1}{3}-\frac{4}{5} z=\frac{4}{3} y^{3}.
This equation can be interpreted as "The difference between one-third and four-fifths of a number 'z' equals four-thirds of the cube of a number 'y'."

STEP 6

Finally, let's interpret the fifth equation g+10=3gg+10=3 g.
This equation can be interpreted as "The sum of a number 'g' and10 is equal to three times the number 'g'."

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