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3 years ago

When solving a story problem, the first step is to

Mathematics

1 answer:

svetoff [14.1K]3 years ago

3 0

Answer:

Read through the problem and set up a word equation — that is, an equation that contains words as well as numbers.

Plug in numbers in place of words wherever possible to set up a regular math equation.

Use math to solve the equation

Step-by-step explanation:

You might be interested in

Evaluate 7+(-4×^2)for ×=0

NISA [10]

Plug in 0
7+(-4(0)^2)
7+(0)^2
7+0=7

5 0

3 years ago

A soccer team played 25 games last season. They won 16 games, lost 5 games, and tied the rest.

goldenfox [79]

Answer:

16% or 4/25

Step-by-step explanation:

16 + 5 = 21

25 - 21 = 4

4/25 = 16%

This is right because 21/25 is 84% and 84% + 16% = 100%

6 0

3 years ago

Unit 4 Test, Part 2: Congruence and Constructions<br> Help with my math please

lakkis [162]

Answer/Step-by-sep explanation:

1. Given:

∆NMK ≅ ∆TRP

$\overline{NM} = 20$

$\overline{MK} = 15$

$\overline{KN} = 25$

$\overline{TR} = 3x - 1$

a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP

b. The side that is congruent to $\overline{TR}$ is $\overline{NM}$ . Thus:

$\overline{TR}$ ≅ $\overline{NM}$

c. Since $\overline{TR}$ ≅ $\overline{NM}$ , therefore:

$\overline{TR} = \overline{NM}$

$3x - 1 = 20$ (substitution)

Add 1 to both sides

$3x = 20 + 1$

$3x = 21$

Divide both sides by 3

$x = \frac{21}{3}$

$x = 7$

2. a. Slope of LK = $\frac{rise}{run} = \frac{4}{3}$

Slope of LM = $\frac{rise}{run} = -\frac{3}{5}$

b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):

$Lk = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$Lk = \sqrt{(-4 -(-7))^2 + (8 - 4)^2}$

$Lk = \sqrt{(3)^2 + (4)^2}$

$Lk = \sqrt{9 + 16}$

$Lk = \sqrt{25}$

$Lk = 5$

✍️Length of LM is the distance between L(-7, 4) and (-2, 1):

$LM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$LM = \sqrt{(-2 -(-7))^2 + (1 - 4)^2}$

$LM = \sqrt{(5)^2 + (-3)^2}$

$LM = \sqrt{25 + 9}$

$LM = \sqrt{34}$

$LM = 5.8$ (nearest tenth)

∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.

Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.

8 0

3 years ago

Judy simplified the expression (3x + 1)(x – 3) – (2 – 2x2 – 3x). What is the constant term in the simplified expression?

andrey2020 [161]

Answer:

Step-by-step explanation:

(3x+1)(x-3)-(2-2x^2-3x)

3x^2+x-9x-3-2+2x^2+3x

3x^2+2x^2+x-9x+3x-3-2

5x^2-5x-5

the constant term in the simplified expression is -5.

5 0

3 years ago

You buy a total of 25 burgers and tacos for $67.50. The burgers cost $3.50 each and the tacos cost $2.25 each. Find the number o

Ahat [919]

Answer: you bought 9 burgers and 16 tacos

Step-by-step explanation:

Let x represent the number of burgers that you bought.

Let y represent the number of tacos that you bought.

You buy a total of 25 burgers and tacos. It means that

x + y = 25

The burgers cost $3.50 each and the tacos cost $2.25 each. The total cost of the burgers and tacos that you bought is $67.50. It means that

3.5x + 2.25y = 67.5- - - - - - - - - - - - 1

Substituting x = 25 - y into 1, it becomes

3.5(25 - y) + 2.25y = 67.5

87.5 - 3.5y + 2.25y = 67.5

- 3.5y + 2.25y = 67.5 - 87.5

- 1.25y = - 20

y = - 20/ - 1.25

y = 16

x = 25 - y = 25 - 16

x = 9

5 0

3 years ago