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4 years ago

How many solutions does 2x+2=x+x+2 have

Mathematics

1 answer:

Korolek [52]4 years ago

7 0

Answer:

The system has infinite solutions

Step-by-step explanation:

IF we re arrange the terms, we will find the following identity:

0=0

Meaning that any variable you find will not affect the equation 0=0,

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Ralphie's dad has a nutritionist who instructed him to consume less than 2,147 calories per day. He has already consumed 1,575 c

REY [17]

Answer:

Ralphie's dad can eat 8 fruit bars without going over his calorie allotment.

Step-by-step explanation:

Given,

Per day calorie intake limit = less than 2126 calories

Calories are already taken = 1586 calories

Calories in each fruit bar = 66 calories

Let,

x be the number of fruit bars that Ralphie's dad can consume.

Calories in each fruit bar*Number of fruit bars + calories already taken < per day limit

Dividing both sides by 66

5 0

2 years ago

What are the square roots of 64144?

Andrews [41]

Answer:

-8/12 and 8/12

Step-by-step explanation:

The square root of a ratio is the ratio of the square roots.

$\pm\sqrt{\dfrac{64}{144}}=\pm\dfrac{\sqrt{64}}{\sqrt{144}}=\boxed{\pm\dfrac{8}{12}}$

6 0

2 years ago

The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its

Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

Shape: Triangle

Represent the height with h and the base with b

$b = 3 + 2h$

$Area = 22$

Required

Find the length of the base

The area of a triangle is calculated as thus;

$Area = \frac{1}{2} * b * h$

Substitute 22 for Area and 3 + 2h for b

The formula becomes

$22 = \frac{1}{2} * (3 + 2h) * h$

Multiply both sides by 2

$2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h$

$44 = (3 + 2h) * h$

Open the bracket

$44 = 3 * h + 2h * h$

$44 = 3h + 2h^2$

Subtract 44 from both sides

$44 - 44 = 3h + 2h^2 - 44$

$0 = 3h + 2h^2 - 44$

Rearrange

$0 = 2h^2 +3h - 44$

$2h^2 +3h - 44 = 0$

At this point, we have a quadratic equation; which is solved as follows:

$2h^2 +3h - 44 = 0$

$2h^2 + 11h - 8h - 44 = 0$

$h(2h + 11) - 4(2h + 11) = 0$

$(h - 4)(2h + 11) = 0$

Split the above

$(h - 4) = 0\ or\ (2h + 11) = 0$

$h - 4 = 0\ or\ 2h + 11 = 0$

Solve the above linear equations separately

$h - 4 = 0$

Add 4 to both sides

$h - 4 + 4 = 0 + 4$

$h = 0 + 4$

$h = 4$ ---- First value of h

$2h + 11 = 0$

Subtract 11 from both sides

$2h + 11 - 11 = 0 - 11$

$2h = 0 - 11$

$2h = -11$

Divide both sides by 2

$\frac{2h}{2} = -\frac{11}{2}$

$h = -\frac{11}{2}$ ------ Second value of h

Since height can be negative, we'll discard $h = -\frac{11}{2}$

Hence, the usable value of height is $h = 4$

Recall that $b = 3 + 2h$

Substitute 4 for h

$b = 3 + 2(4)$

$b = 3 + 8$

$b = 11$

Hence, the length of the base is 11 meters

3 0

4 years ago

Does the table represent y as a function of x?

Paladinen [302]

Answer:

yes

Step-by-step explanation:

8 0

3 years ago

The sum of three consecutive numbers is 87. What is the smallest of the three numbers?

Jobisdone [24]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers