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3 years ago

The sum of two consecutive integers is at most 223. What is the larger of the two integers?

Mathematics

2 answers:

irinina [24]3 years ago

8 0

Answer:

112

Step-by-step explanation:

Vlada [557]3 years ago

6 0

Divide 223 by 2: 223/2 = 111.5

Then fix one number to 111.5 - 0.5 ann the other to 111.5 + 0.5

The two numbers are 111 and 112.

Then the answer is 112.

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The ratio of boys to girls in the 10th grade is 8 to 13. If there are 91 girls in 10th grade, then how many boys are there?

IRINA_888 [86]

Answer: There are 56 boys in the 10th grade

Step-by-step explanation:

Step 1

ratio of boys to girls in the 10th grade is 8 :13

Number of girls= 91

To find the number of boys, we first find the total number of boys and girls in the 10th grade

Step 2

Now the total ratio= 8 +13=21

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6 0

3 years ago

Copy Mark charges $26 + 44 cents per copy to produce promotional brochures a royal linear equation that relates the cost c in do

olganol [36]

Answer:

$(a)\ y = 26 + 0.44x$

$(b)\ 114\ copies$

Step-by-step explanation:

Given

$Base\ Charge = \$26$

$Rate = 44c$ per copy

Solving (a): Linear Equation

The total charges (y) is: the base charge + the rate * number of copies (x).

So, we have:

$y = 26 + 0.44 * x$

<em>The 0.44 is 44 cents converted to dollars</em>

$y = 26 + 0.44x$

Solving (b): Purchase if he budgets $76.16

This implies that y = 76.16

So, we have:

$y = 26 + 0.44x$

$76.16 = 26 + 0.44x$

Collect like terms

$0.44x = 76.16 - 26$

$0.44x = 50.16$

Solve for x

$x = \frac{50.16}{0.44}$

$x = 114$

4 0

3 years ago