which of the following are true

Answer:

10

Step-by-step explanation:

there is only ten ways to do it

Answer:

5x +2

Step-by-step explanation:

6x+3−(x+1) =

Distribute the minus sign

6x +3 -x -1

5x +2

Answer:

[tex]5x + 2[/tex]

Step-by-step explanation:

[tex]6x + 3 - (x + 1) \\ 6x + 3 - x - 1 \\ = 5x + 2[/tex]

hope this helps

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Answer:

for v=1/4 , p=32

Step-by-step explanation:

p=8:1/4=8*4/1=32

Answer:

D: 32

Step-by-step explanation:

For edge

Answer: The answer for this question is C.

Answer:

angle of depression = -12 degrees

Step-by-step explanation:

Sin = opposite/hypotenuse

sin = -208/1000

inv sin 0.208 = -12

To solve this problem, we just need to use trigonometric ratio and use the ratio that best fits this problem. The angle of depression is equal to 76.23 degrees.

Using SOHCAHTOA, we can easily solve this problem, but we need to first know which ratio to use

Data;

since we have the value of opposite and adjacent, we can solve this using the tangent of the angle

[tex]tan\theta = \frac{opposite}{adjacent} \\tan \theta = \frac{1000}{208} \\tan\theta = 4.807\\\theta = sin^-^1 (4.0807)\\\theta = 76.23^0[/tex]

From the calculation above, the angle of depression is equal to 76.23 degrees.

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Answer:

[tex]\frac{9}{4}[/tex] or [tex]2\frac{1}{4}[/tex]

Step-by-step explanation:

If Mr. Tuyen used 3/4 of a tank in a week, then in three weeks, he would use that same amount times three.

So:  [tex]\frac{3}{4}[/tex] x 3 = [tex]\frac{9}{4}[/tex]

Hope this helps :)

Answer:

cosine I think

Step-by-step explanation:

The ratio of the perpendicular and the hypotenuse is given by the sine of the angle. Then the correct option is A.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

The ratio of the leg opposite to an angle to the hypotenuse of a right triangle is called the sine of the angle.

The sine is given as the side opposite to the angle is known as perpendicular.

The ratio of the perpendicular and the hypotenuse is given by the sine of the angle.

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Answer:

29 is a prime number because it has only two distinct divisors: 1 and itself.

Answer: [tex]x=-2[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}(x-10)=2x+1[/tex]

Distribute 1/4

[tex]\frac{1}{4}x-\frac{1}{4}(10)=2x+1[/tex]

[tex]\frac{1}{4}x-\frac{5}{2}=2x+1[/tex]

add 5/2

[tex]\frac{1}{4}x-\frac{5}{2}+\frac{5}{2}=2x+1+\frac{5}{2}[/tex]

[tex]\frac{1}{4}x=2x+\frac{1*2+5}{2}[/tex]

[tex]\frac{1}{4}x=2x+\frac{2+5}{2}[/tex]

[tex]\frac{1}{4}x=2x+\frac{7}{2}[/tex]

Subtract 2x

[tex]\frac{1}{4}x-2x=2x-2x+\frac{7}{2}[/tex]

[tex]\frac{1}{4}x-2x=\frac{7}{2}[/tex]

[tex]\frac{1-2*4}{4}x=\frac{7}{2}[/tex]

[tex]\frac{1-8}{4}x=\frac{7}{2}[/tex]

[tex]-\frac{7}{4} x=\frac{7}{2}[/tex]

Multiply by the negative reciprocal of -7/4 which is basically inverting the fraction -4/7

[tex](-\frac{4}{7} )-\frac{7}{4} x=\frac{7}{2}(-\frac{4}{7} )[/tex]

[tex]x=-\frac{28}{14}\\ x=-2[/tex]

Answer:

1. r = -4

3. n=6

5. m = -5

7. x=0.66= [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

1.

-52=4(7+5r)

-52=28+20r

Subtract 20r from both sides

-20r-52=28

Add 52 to both sides

-20r=80

Divide both sides by -20

r = -4

3.

8(n-5)=-5n+38

8n-40=-5n+38

Add 5n to both sides

13n-40=38

Add 40 to both sides

13n=78

Divide both sides by 13

n=6

5.

-33+5m=2(1+6m)

-33+5m=2+12m

Subtract 12m from both sides

-33-7m=2

Add 33 to both sides

-7m=35

Divide both sides by -7

m=-5

7.

2(7x-2)=2(x+4)

14x-4=2x+4

Subtract 2x from both sides

12x-4=4

Add 4 to both sides

12x=8

Divide both sides by 12

x=0.66...

Answer:

x>-5

Step-by-step explanation:

12x-10>10x-20

2x-10>-20

2x>-10

x>-5

Answer:

slope = -7/2x

Step-by-step explanation:

you can solve the equation in order to make it slope-intercept form.

7x + 2y = 5

2y = -7x + 5

divide everything by 2

it becomes y = -7/2x + 5/2

The required slope of the line is m = -7 / 2.

A line can be defined by the shortest distance between two points is called a line.

Method 1

7x + 2y = 5
Rearranging the equation in the standard form of the equation of a line
y = mx + c
where m is the slope of the line and c is the intercept of the line.
7x + 2y = 5
2y = -7x + 5
y = -7x/2 + 5  - - - - - -(1)
Comparing equation 1 with the standard form of the equation
m = -7/2 and c = 5

Method 2
Differentiate the given equation, with respect to x
d/dx (7x + 2 y) = d/dx (5)
7 + 2dy/dx = 0
dy/dx = -7/2
Slope = dy/dx = -7/2

Thus, the required slope of the equation is m = -7/2

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Answer: 60º

Step-by-step explanation:

With respect to the line ZB, it makes an angle of 180º if measured using DZ. If the angle outside the triangle measures 140º, subtract from 180º to find the angle inside the triangle.

180º-140º=40º

So, now we have angle c=80º and angle b=40º, we can make an equation to find angles D which we'll call x.

The sum of the angles of a triangle must be equal to 180º.

80+40+x=180

120+x=180

x=180-120

x=60

Answer:

Find the measure of the angles indicated

∠CDB = 60°

Step-by-step explanation:

∠CBD + ∠CBZ = 180°

∠CBD + 140° = 180°

∠CBD = 180° - 140°

∠CBD = 40°

∠CBD + ∠BCD + ∠CDB = 180°

40° + 80° + ∠CDB = 180°

120° + ∠CDB = 180°

∠CDB = 180° - 120°

∠CDB = 60°

Answer:

3√7

Step-by-step explanation:

√63

√3x21

√3x3x7

3√7

Answer:

(x - 4)

Step-by-step explanation:

Given

x² + 2x - 24

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (+ 2)

The factors are + 6 and - 4, since

6 × - 4 = - 24 and 6 - 4 = + 2, thus

x² + 2x - 24 = (x + 6)(x - 4) ← in factored form

Thus the other factor is (x - 4)

The solution is Option D.

The equation x² + 2x - 24 = 0 has the factors as ( x + 6 ) and ( x - 4 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

x² + 2x - 24 = 0   equation (1)

The equation can be factorized as

x² + 6x - 4x - 24 = 0

Taking x as the common factor , we get

x ( x + 6 ) - 4 ( x + 6 ) = 0

So , the equation will be

( x + 6 ) ( x - 4 ) = 0

Therefore , the factors of x are -6 and 4

Hence , the factors of the equations are ( x + 6 ) and ( x - 4 )

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Answer:

1/4 or .25

Step-by-step explanation:

8x =2

Divide by 8 on both sides

8x=2

__. ___

8.     8

x = 2/8=1/4 or .25

Answer: x equals 1/4 or 25% or 0.25

Step-by-step explanation:

Length of the room is 5 ft and the width is 8 ft.

Perimeter is equal to the sum of all sides of the room.

The shape of room is rectangle.

The perimeter of rectangular room is given by :

[tex]P=2(L+B)\\\\P=2(5+8)\\\\P=26\ ft[/tex]

Area of a rectangular shaped room is given by :

[tex]A=L\times B\\\\A=5\times 8\\\\A=40\ ft^2[/tex]

So, the perimeter and area of the rug are 26 feet and 40 sq feet.

Answer:

The budgeted cost of goods sold in June is $ 10,500,000

Step-by-step explanation:

In order to determine the budgeted cost of goods sold,we need to first and foremost establish goods sold in quantity terms as follows:

goods sold=opening stock+goods produced-closing stock

goods produced=sales-opening stock+closing stock

goods produced=350,000-84,000+130,000=396,000

goods sold=84,000+396,000 -130,000=350000

The cost of producing one unit is $30

costs of goods sold=goods sold*production cost per unit=$30*350000 =

$ 10,500,000.00  

Alternatively:

sales units *unit cost of production=$30*350,000=$ 10,500,000.00  

Answer:

Jo Margin of error is  20

Step-by-step explanation:

The expression for calculating Margin of error is = [tex]Z_{critical } *\dfrac{{Sd} }{\sqrt{n} }[/tex]

From the given question:

[tex]Z_{critical} = 1.96[/tex]

standard deviation sd = 50

sample size = 25

THUS; the Margin of error is :

[tex]1.96*\dfrac{{50} }{\sqrt{25} }[/tex]

[tex]1.96*\dfrac{{50} }{5 }[/tex]

[tex]1.96*10}[/tex]

[tex]19.6[/tex]

≅ 20      (to the nearest whole number)

Hence; Jo Margin of error is  20

Answer:

Typically the answer is Graph the y intercept because when you do slope intercept you cant always start with the origin unless you don't have a b to base it off of.

Answer:

A.

Step-by-step explanation:

Answer:

the formulae for the volume of a cylinder= πr²h

so we then put the figures at their respective positions. and for the pie we put either 22/7 or 3.143 or 3.14

Answer:

The bottom left

Step-by-step explanation:

it has no pairs of parallel sides

Answer:

Step-by-step explanation:

Trapezoid should have a pair of parallel lines.

Bottom left figures does not have parallel lines. So it  is not a trapezoid.

Answer:

The boats will meet in 3.33 hours.

Step-by-step explanation:

The position of each boat can be modeled by a first order equation.

I am going to say that the first boat is at the position 0, and moving in the positive direction with a speed of 3 miles per hour. So

[tex]A(t) = 0 + 3t[/tex]

They are moving in oppositie directions, and initially are 30 miles apart. This means that the second boat starts at the position 30, and moves in the negative direction at the rate of 6 miles an hour. So

[tex]B(t) = 30 - 6t[/tex]

How soon will the boats meet?

This is t when:

[tex]A(t) = B(t)[/tex]

[tex]3t = 30 - 6t[/tex]

[tex]9t = 30[/tex]

[tex]t = \frac{30}{9}[/tex]

[tex]t = 3.33[/tex]

The boats will meet in 3.33 hours.

Answer:

$1,263.75

Step-by-step explanation:

8425×0.15=1263.75

Answer: $1263.75

Step-by-step explanation:

$8425 (the amount you earned) multiplied by 0.15 (the tax rate as a decimal) is equal to 1263.75.

So, you would owe $1263.75 in taxes at the end of the year.

Answer:

30%

Step-by-step explanation:

this week:

4 × 7 = 28 hours

earns: 28 × 11 = £308

reduction: 440 - 308 = 132

% reduction

132/440 × 100

30%

Answer:

It earned $12,771 more in December.

Step-by-step explanation:

This question can be solved using a rule of three.

During an average month, we have that 100% = 1 is $47,300.

During December, the amount is $x, and it is 100% + 27% = 127% = 1.27. So

1 - $47,300

1.27 - $x

x = 1.27*47,300

x = 60,071

It earned $60,071 in December.

Compared to other months, it earned $60,071 - $47,300 = $12,771 more in December.

Answer:

x-intercept(s):

(1,0),(3/2,0)

y-intercept(s): (0,3)

Use the formula

x=−b/2a to find the maximum and minimum.

Ans;(5/4,−1/8)

Coordinates Of The Vertex

(5/4,−1/8)

Zero (roots)

x=1,3/2

Step-by-step explanation:

Answer:

$2075.75

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the information;

rubber chips costs $52.50 per square foot

We need to find the area of the playground,

The length: 8ft

The width: 4 ft

=> the area of it is: 8*4 = 32 square foot.

The base: 3 ft

The height: 2 ft

=> the area of it is = 1/2*3*2 = 3 square foot.

The base: 3 ft

The height: 3 ft

=> the area of it is = 1/2*3*3 = 9/2 square foot.

=> the total area of the playground is: 32 + 3 + 9/2 = 39.5 square foot.

So the total cost to install the rubber chips is:

= 39.5 * $52.5

= $2075.75

Hope it will find you well.

The $2625 is the cost to install the rubber chips if each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

First, we find the area of the rectangle = (8+3)×4 = 44 square feet

Area of the two triangle = 2(1/2)[2×3] = 6 square feet

Area of the complete figure = 44+6 = 50 square feet

Each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot.

Total cost = 50×52.50 = $2625

Thus, the $2625 is the cost to install the rubber chips if each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot.

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