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babymother [125]
1 year ago
8

The sum of two numbers is 15. Using x to represent the smaller of the two numbers, translate "the sum of twice the smaller numbe

r and two more than the larger num ber" into a variable expression. Then simplify.
Mathematics
1 answer:
Paladinen [302]1 year ago
4 0

Answer:

Step-by-step explanation: Let x be the smaller and y be the largest number.

Since x+y=13, we deduce y=13-x

Now, for the translation: "two more than the larger number" is y+2 , while "twice the smaller" is 2x

Their sum is y+2+2x

And since we know that y=13-x, we have y+2+2x=13-x+2+2=15+x

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Find the area of the shape below. Plz help!!!
skelet666 [1.2K]

Answer:

A = 108 units²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = \frac{1}{2} h (b₁ + b₂ )

where h is the height between the 2 bases and b₁, b₂ are the parallel bases

Here h = 24 , b₁ = 8 , b₂ = 1 , then

A = \frac{1}{2} × 24 × (8 + 1) = 12 × 9 = 108 units²

5 0
3 years ago
Which equation represents the line that passes through the points (4, 6) and (−2, −1)?
KatRina [158]

Find the slope first by using rise/run

m=\frac{6-(-1)}{4-(-2)}\\m=\frac{6+1}{4+2}\\m=\frac{7}{6}

y=mx+b\\y=\frac{7}{6}x+b

We need to find the y-intercept. Substituting one of given ordered pairs. I will use (-2,-1).

Substitute x = -2 and y = -1 in the equation.

-1=\frac{7}{6}(-2)+b\\-1=\frac{7}{-3}+b\\-1=-\frac{7}{3}+b\\-1+\frac{7}{3}=b\\b=\frac{4}{3}

Thus the y-intercept is 4/3.

From y = mx+b, the equation is.

y=\frac{7}{6}x+\frac{4}{3}

8 0
3 years ago
If three pears and four oranges cost $4.85 and three pears and ten oranges cost $8.75 what is the cost of a pear and an orange
marishachu [46]

Answer:

1 pear = $0.75; 1 orange = $0.65

Step-by-step explanation:

(1)               3P +  4O = 4.85

(2)              3P + 10O = 8.75                 Eqn (2) - Eqn (1)

3P + 10O – 3P – 4O = 8.75 – 4.85     Combine like terms

                           6O = 3.90                 Divide each side by 6

                             O = $0.65              Substitute into Eqn (1)

           3P + 4×0.65 = 4.85

               3P + 2.60 = 4.85                 Subtract 2.60 from each side

                           3P = 2.25                Divide each side by 3

                            P = $0.75

Oranges cost $0.65 each and pears are $0.75 each

4 0
3 years ago
Ratio ? I’m Not sure
tia_tia [17]
It’s interval. It will be right.
3 0
3 years ago
A recipe uses 1/4 teaspoon of salt and 2 1/2 teaspoons of sugar. What is the ratio of salt to sugar in this recipe?​
KATRIN_1 [288]

Answer:

1:10

Step-by-step explanation:

the ratio we can it is

\frac{amount\:salt}{amount\:sugar}\\\\\frac{\frac{1}{4}}{2\frac{1}{2}}\\\\\frac{\frac{1}{4}}{\frac{5}{2}}\\\\\frac{1\times2}{4\times5}\\\\\frac{1}{2\times5}\\\\\frac{1}{10}

so the ratio is 1:10

5 0
2 years ago
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