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Answer: Use division to convert the fraction to a decimal: 1/4 = 1 ÷ 4 = 0.25.

Multiply by 100 to get percent value: 0.25 × 100 = 25%

Step-by-step explanation:

Answer:

a) 11

b) 9

Step-by-step explanation:

a) x=4  y=3

2x+y

2(4)+(3)

8+3

=11

b) a=-2  b=5

a^2+b

(-2)^2+(5)

4+5

=9

Answer:

a.) 2x+y

2(4)+3

8+3=11

b.) a^2+b

(-2)^2+5

4+5=9

Step-by-step explanation:

Answer:

103

Step-by-step explanation:

Find the area of the rectangle on the top

A = 7*13 = 91

Now find the area of the rectangle on the bottom

13 - (5+5) = 3

11-7 = 4

The dimensions of the bottom rectangle are 3 by 4

A = 3*4 = 12

The total area is 91+12 = 103

Answer

V (-15,5)

S (-9,2)

T(-14,2)

U (-20,5)

your welcome:)

Answer:

104

Step-by-step explanation:

[tex] \frac{910 \times 2}{5} = \frac{1820}{5} = 364[/tex]

There are 364 girls at school

[tex] \frac{364 \times 2}{7} = \frac{728}{7} = 104[/tex]

104 of them play netball

Answer:

5. [tex]\frac{-19}{1}[/tex], [tex]\frac{27}{1}[/tex], [tex]\frac{71}{1}[/tex], [tex]\frac{-101}{1}[/tex]

6. [tex]\frac{1000}{99999}[/tex]

7. [tex]\frac{7}{4}, 0[/tex]    [tex]\frac{-5}{7} ,\frac{-12}{5}, \frac{-13}{9}, \frac{-18}{7} ,\frac{-95}{116}, \frac{-1}{9}[/tex]

8. (ii) [tex]\frac{9}{8}[/tex]

9. (iv) [tex]\frac{-115}{-197}[/tex]

10. (i) true, (ii) true, (iii) false

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

Answer:

n = -2

Step-by-step explanation:

6(2n - 3) - 2(6n + 1) = 10n

multiply the brackets

6*2n - 6*3 - 2*6n - 2*1 = 10n

12n - 18 - 12n - 2 = 10n

add or subtract the like terms

0 - 20 = 10n

shift 10 to the right hand side .REmember when u shift multiplication changes to division.

-20 / 10 = n

-2 = n

Answer:n=-2

Step-by-step explanation:

12n-18-12n-2=10n

-20=10n

n=-2

Answer:

Step-by-step explanation:

First function:  even, because both exponents are even; graph is symmetric about the x-axis

Second function:  mixture of even and odd exponents:  not even

Third function:  This is the square root of x - 2; not even

Fourth function:  |x| is even; graph is symmetric about the x-axis

Answer:

[tex]0 \le t < \infty[/tex]

Step-by-step explanation:

Given

[tex]c(t) = 3t[/tex]

Required

The domain

From the question, we understand that t represents number of yards/packages (depending on the store)

This means that:

[tex]t \ge 0[/tex] ---- the start value

[tex]t < \infty[/tex] --- the end value

Rewrite [tex]t \ge 0[/tex] as [tex]0 \le t[/tex]

So, we have: [tex]0 \le t[/tex] and [tex]t < \infty[/tex]

Hence, the domain is: [tex]0 \le t < \infty[/tex]

Answer:

3/42 or 1/14 if they have you reducing the number

Step-by-step explanation:

There are only 3 cans of black bean soup in the whole pantry. 3 is our numerator.

The denominator will be the total number of cans in the pantry, so

22 + 3 + 12 + 1 + 4 = 42

If you took a can of soup out of the pantry 42 times, 3 times it would be black bean soup

Answer:

90 yards

Step-by-step explanation:

413 - 323 = 90

Area of triangle + rectangle

= 1/2× 9×4 + 9×6

= 18+ 54

= 72

Answer:

72 units²

Step-by-step explanation:

A(Triangle) = 1/2(9)(4) = 18 units²

A(Rectangle) = 9(6) = 54 units²

A(Figure) = 18 + 54 = 72 units²

Answer:

89.43

Step-by-step explanation:

a = 670 * (1 * .25)^7

a = 670 * (.75)^7

a = 89.43

Answer:

(3.442 ; 6.558)

Step-by-step explanation:

Given :

Mean score after patient is given the magnet treatment :

Mean score, xbar = 5

Standard deviation, s = 2.4

Sample size, n = 20

The confidence interval :

Mean ± margin of error

Margin of Error = Tcritical * standard error

The critical value at 95%, df = 20 - 1 = 19

Tcritical = 2.093 (T-student distribution)

The standard error = s/√n = 2.4 / √20 = 0.5367

The margin of error = 2.903 * 0.5367 = 1.558

The confidence interval :

Xbar ± Margin of error

5 ± 1.558

(3.442 ; 6.558)

Answer:

[tex]Base\ Area = 93ft^2[/tex]

Step-by-step explanation:

Given

[tex]Volume = 279ft^3[/tex]

[tex]Height =3ft[/tex]

Required

The base area

Volume is calculated as:

[tex]Volume = Base\ Area * Height[/tex]

This gives:

[tex]279= Base\ Area * 3[/tex]

Make Base Area the subject

[tex]Base\ Area = \frac{279}{3}[/tex]

[tex]Base\ Area = 93ft^2[/tex]

9514 1404 393

Answer:

  (√5)/2

Step-by-step explanation:

Of the several ways I can think of to do this, using a graphing calculator is about the easiest. It shows the minimum to be ...

  f(1) = √1.25 = (√5)/2

__

Using the distance formula, you have ...

  f(x) = √((x -(-2))² +((x² +2)-5/2)²)

  f(x) = √(x² +4x +4 +x⁴ -x² +1/4) = √(x⁴ +4x +17/4)

The minimum is found where the derivative is zero.

  f'(x) = (2x³ +2)/√(x⁴ +4x +17/4) = 0

  x³ = -1 . . . . . f'(x) is zero when the numerator is zero

  x = -1 . . . . . cube root

Then the minimum value of f(x) is ...

  f(-1) = √(x⁴ +4x +17/4) = √((-1)⁴ +4(-1) +17/4) = √(1 -4 +17/4) = √(5/4)

  f(-1) = (√5)/2 . . . . minimum value of f(x)

__

The graph shows f²(x) in red and its minimum of 1.25 = 5/4. The curve (x, x²+2) and the point (-2, 5/2) are also shown, for reference. (The slope of the curve at x=-1 is -2, and the normal to the curve at that point has slope 1/2. The normal goes through the point (-2, 5/2), consistent with f(x) being a minimum at x=-1.)

Answer:

(-5) +(+6) +(-2) = (-1)

(-22) -(+8) +(10) =(-4)

Step-by-step explanation:

(-5)+ (+6) is 1 + (-2) is (-1)

(-22)-(+8) is (-14)+(10) is (-14)

Answer:

A. It increased both her intensity and her workout time.

Step-by-step explanation:

A. It increased both her intensity and her workout time.

B. It decreased her intensity but increased her workout time.

C. It increased her intensity but decreased her workout time.

D. It decreased both her intensity and work out time

Last week = 4 miles per day

This week = 5 miles per day

Intensity refers to how hard one exercises.

Workout time refers to how long one exercises the body.

By adding a mile, she has increased how hard she exercises her body (intensity))

And also increased how long she exercises the body (workout time) because the time she spent on 5 miles per day is more than time spent on 4 miles per day

Answer:

x+6.3

Step-by-step explanation:

x+6.3

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Answer:

15.9 mm²

Step-by-step explanation:

We solve using Area of the circle formula

Area of a circle = πr²

Diameter of his friend's wand = 4.5mm

Radius = 4.5mm/2

= 2.25 mm

How much wire did his friend need to make the circular part of his wand? Use 3.14 for π

= 3.14 × (2.25mm)²

= 15.89625 mm²

Approximately = 15.9 mm²

Answer:

77

Step-by-step explanation:

180-61-42

Answer:

x = 77°

Step-by-step explanation:

the total among these angles are 180° so add 61 + 42 which equals 103 then subtract it from the total

180° - 103° = 77°

x = 77°

Answer:

11. 15in

12. 51.52211951887cm

Answer:

P(A) = 1/2

Step-by-step explanation:

The question seems incomplete, I assume that we want to find the probability of event A.

Here we have a fair six-sided dice, so each one of the six numbers has exactly the same probability of being rolled.

Such that the possible outcomes of rolling the dice is:

{1, 2, 3, 4, 5, 6}

Now we define event A as rolling an even number.

The possible outcomes such that the event A is true are the even numbers:

{2, 4, 6}

So we have 3 outcomes out of 6.

Then the probability of rolling an even numbers, is just the quotient between the number of outcomes of even numbers (3) and the total number of outcomes (6).

Then:

P(A) = 3/6 = 1/2 = 0.5

Answer:

Angle g = 90°

Angle between x and G = 30°

Angle x= 180-(90+30)

= 180-120=60°

D.4x + 6y - 14

This is the answer

Answer:

a = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

Identify variables

a = a

b = 9

c = 15

Step 2: Solve for a