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1 year ago

Solve the following equation 2x=12

Mathematics

1 answer:

Luden [163]1 year ago

6 0

Let's solve your equation step-by-step.
2
x
=
12
Step 1: Divide both sides by 2.
2
x
2
=
12
2
x
=
6
Answer:
x
=
6

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Write a polynomial function of least degree that has real coefficients, the following zeros: 1,5,3+i and a leading coefficient o

Nitella [24]

Answer:

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yo también la busco

8 0

2 years ago

17. Admission prices to Cinema I to see a movie are $9.50 for an adult and $6.50 for a child. The admission charge at Cinema II

maksim [4K]

Answer:

a. 9.5x + 6.5(x+c) < 8 when c>0

b. Must be one child more than the no. of adults.

Step-by-step explanation:

For Cinema 1:

for adult = $9.50

for child = $6.50

For Cinema 2:

Per person regardless of age = $8.00

First of all, we will find out the condition when per person rates in both cinema are equal.

Assume x = no. of adults

y = no. of children

Rate per person in Cinema I = Rate per person in Cinema II

(9.5x + 6.5y)/(x+y) = 8

9.5x + 6.5y = 8(x+y)

9.5x + 6.5y = 8x + 8y

9.5x-8x = 8y-6.5y

=> x = y

So rates are equal when no. of adults equals no. of children

For Cinema I to have better rates, no. of children should be atleast 1 more than the no. of adult. In this way the rate per person of Cinema I will be less than 8

Hence we form an inequality when y = x+c and c > 0

9.5x + 6.5(x+c) < 8 when c>0

Hence there must be 1 more children than the no. of adults attending Cinema I for it to be a better deal.

4 0

3 years ago

Read 2 more answers

1. Find the slope of the line that goes through the points (2, 5) and (6, 7)

ella [17]

Answer:

$\displaystyle m = \frac{1}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Identify

Point (2, 5)

Point (6, 7)

Step 2: Find slope m

Substitute in points [Slope Formula]: $\displaystyle m = \frac{7-5}{6-2}$
[Fraction] Subtract: $\displaystyle m = \frac{2}{4}$
[Fraction] Simplify: $\displaystyle m = \frac{1}{2}$

7 0

2 years ago

Hector added 30.24 + 16.26. His work is shown.

Yuki888 [10]

Answer:

He did not regroup hundredths when adding digits

Step-by-step explanation:

30.24

+16.26

-----------

46.50

It can't be the first two, and because .04+.06 are hundredths, it must be the third one.

He did not regroup hundredths when adding digits.

7 0

3 years ago

Read 2 more answers

A shipping service restricts the dimensions of the boxes it will ship for a certain type of service.

Mandarinka [93]

Answer:

Then the answer is option a

a. 0<x $\leq$ 10

Step-by-step explanation:

perimeter + height is less than 130 inches.

If height is 60 inches.then perimeter left is 70 inches.

If perimeter was more than 70 inches then perimeter 60 more than the height would be more than 130.

perimeter of rectangle is

It has two widths and two lengths because that's what rectangles do.

width of base "x"

Then the length is 2.5x

perimeter = 2 width + 2 length

= $2(x) + 2(2.5x)$

= 2x + 5x

= 7x

but perimeter can't be more than 70 inches.

So x can't be more than 10 inches because if x was more than 10 inches, then 7x which is perimeter would be more than 70 inches.

$2x + 2(2.5x) + 60 \leq 130$

7x + 60 ≤ 130

7x ≤ 70

x ≤ 10

Then the answer is option a

a. 0<x≤10

3 0

3 years ago