Solve for x: one over eight 1/8(8x + 15) = 24

Answer:

[tex]x-3[/tex] by [tex]2x-5[/tex] units

Step-by-step explanation:

Use the slide-and-divide method to factor the polynomial:

[tex]2x^2-11x+15[/tex]

[tex]x^2-11x+30[/tex]

[tex](x-6)(x-5)[/tex]

[tex](x-3)(2x-5)[/tex]

Therefore, the dimensions are [tex]x-3[/tex] by [tex]2x-5[/tex] units

Answer:

a  is 27354326 b is 13943y and c is 1937x

Step-by-step explanation:

Answer:

3. The sequence is not arithmetic because the terms do not have a common difference.

Step-by-step explanation:

These are ordered pairs in the form of (x, y), so I'll write them here with just the y from least to greatest so it's easier to read:

1, 4, 9, 16, 25

The 3 answers are:

First, look at the difference between each of the terms.

[tex]4-1=3\\9-4=5\\16-9=7[/tex]

Second, an arithmetic sequence is a sequence where each consecutive term has a common difference over the last.

Finally, that leaves only answer 3. The sequence is not arithmetic because the terms do not have a common difference.

Answer:

24 in

Step-by-step explanation:

Compare "like" things:

Big/small = Big/small

30/L = 10/8

Crossmultiply

240 = 10L

Divide by 10

240/10 = 10L/10

24 = L

Answer:

y = 18 when x = 3

Step-by-step explanation:

y is directly proportional to x^2, meaning:

[tex]y=ax^2[/tex]

where a is the proportion between them. We're given the values for both x and y, so plug those in and solve for a:

[tex]8=a(2)^2\\8=a4\\2=a\\a=2[/tex]

Now you can use a to solve for y when x is 3:

[tex]y=ax^2\\y=(2)(3)^2\\y=2(9)\\y=18[/tex]

answer ?

30 or 30W

Step-by-step explanation:

this isn't a real equation. you can't have an equal sign inside a parentheses but assuming that the question is 6(W) and W equals 5, we can substitute the 5 and distribute the 6 to get 6x5 = 30

Answer:

  a.  39 ft²

  c. 2x² +11x +12

  e. 35 yd²

Step-by-step explanation:

The missing vertical dimension is 5-3 = 2'. The missing horizontal dimension is 11-8 = 3'. Then the figure can be decomposed into a rectangle 11'×3' and one that is 3'×2'. The sum of those areas is ...

  total area = (11 ft)(3 ft) +(3 ft)(2 f) = (3 ft)(11 +2 ft) = (3 ft)(13 ft) = 39 ft²

__

We don't know what to make of the rectangles in each corner, so we'll assume they are distorted right-angle indicators. The area is the product of the dimensions shown:

  A = LW

  A = (2x +3)(x +4) = 2x² +11x +12 . . . area of figure

__

The shaded area is half the area of the rectangle. That is the same area you get if you use the triangle formula for the area of the shaded triangle.

  A = 1/2(14 yd)(5 yd) = 35 yd²

Answer:

[tex] {84mm}^{2} [/tex]

Step-by-step explanation:

Area of square= l×l

Area of square= 6mm × 6mn

Area if square = 36 mm²

Area of triangle 1= ½b ×h

Area of triangle 1= ½ (6mm)(8mm)

Area of triangle 1 = 24 mm²

Area of triangle 2 is the same as area of traingle 1 because they have the same base and hight

: . area of triangles is 48mm²

Area of the figure= Area of square + Area of triangles

A of figure = 36+48

A of figure = 84 mm²

Option 2

Use trapezium formula

Area of trapezium= (a+b)/2 * h

a=6 mm (base)

b=8+6=14 mm (Base)

h= 6mm (height)

[tex]area \: of \: trapezium = ( \frac{6 + 14}{2} )(6) \\ = 60mm ^{2} [/tex]

Therefore the area of triangle= 24mm² as calculated in option 1

Area of the figure= Area of trapezium +Area of triangle

Area of figure = 60+24

= 84 mm²

Answer:

y = 0.5x + 3

Step-by-step explanation:

There is 95mg of vitamins in the drink

If a new health drink has 190% of the recommended daily allowance (RDA) for certain vitamins and the RDA for this drink is 50mg.

The amount of milligrams of the vitamins in the drink is expressed as shown:

A = 190 % of 50mg

A = 1.9 * 50

A = 95mg

Hence there is 95mg of vitamins in the drink

Learn more on percentages https://brainly.com/question/25793394

Answer:

There is 95mg of vitamins in the drink

Answer:

Position function is [tex]s(t)=-12t^2[/tex]

Step-by-step explanation:

Given [tex]a(t)=-24[/tex], since velocity is the antiderivative of acceleration, then [tex]v(t)=-24t[/tex].

Also, since position is the antiderivative of velocity, then [tex]s(t)=-12t^2[/tex].

Answer:

Step-by-step explanation:

You are after time. You know the total distance. They start off at the same time and meet after t hours

Let the meeting time = t

Let the distance from Mary's standpoint be d

Mary

d = r * t

r = 1 mile / hour

t = ?

Ava

d = r*t

d for Ava = 10 - d

r = 4 mile / hour

Solution

10 - d = 4 * t

The time is the same for both people

Ava: divide both sides by 4

10/4 - d/4 = t

Mary

d = 1 * t

d = t

10/4 - d/4 = d        Add d/4 to both sides.

10/4 = d + d/4

10/4 = 5d / 4        Multiply both sides by 4

10 = 5d                Divide both sides by 5

10/5 = 5d/5

d = 2

Since from Mary we have d = t

They will meet in 2 hours.

Answer:

9. x = 31°

10. m∠ABC = 62°

11. m∠BCA = 60°

Step-by-step explanation:

We are given the following values for ΔABC, and its exterior angle, ∠ACD:

In ΔABC, the two nonadjacent interior angles are:  

While the exterior angle, m∠ACD = (5x - 35)°.

In order to solve for questions 9 through 11, we must apply the Exterior Angle Theorem which states that the measure of the exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent or remote interior angles.

In order to find the value of x, we can use the Exterior Angle Theorem:

m∠ACD = m∠A + m∠B

(5x - 35)° = 58° + 2x°

5x° - 35° = 58° + 2x°

Subtract 2x from both sides:

5x° - 2x - 35° = 58° + 2x° - 2x

3x - 35° = 58°

Next, add 35° to both sides:

3x° - 35° + 35° = 58° + 35°

3x° = 93°

Divide both sides by 3 to isolate x:

[tex]\displaystyle\mathsf{\frac{3x}{3}\:=\:\frac{93}{3} }[/tex]

x = 31°

Therefore, the value of x = 31°.

In order to find m∠ABC, we must first substitute the value of x into m∠B:

m∠B = 2x° = 2(31)° = 62°

Therefore, m∠ABC = 62°.

In order to find m∠BCA, we must first find the value of its supplement, m∠ACD, by substituting the value of x derived from question 9.

m∠ACD = 5x° - 35° = 5(31)° - 35° = 120°

Next, substitute the value of m∠ACD into the following equation:

m∠BCA + m∠ACD = 180°

m∠BCA + 120° = 180°

Subtract 120° from both sides:

m∠BCA + 120° - 120° = 180° - 120°

m∠BCA = 60°

Therefore, m∠BCA = 60°.

In order to verify whether we have the correct values for each interior angles, we can apply the Triangle Sum Theorem which states that the sum of all interior angles of a triangle is equal to 180°.  In other words:

m∠A + m∠B + m∠C = 180°.

58° + 62° + 60° =  180°

180° =  180° (True statement).

Answer:

-7

Step-by-step explanation:

a=9 a2=2 a3=-5 a4=-12

d = a4-a3 ,a3-a2, a2-a.

so:

d = -12-(-5) =-12+5 =-7

also;

d = -5-2 = -7

and

d= 2-9 =-7

so the common difference is -7

Answer:

-7

Step-by-step explanation:

We know that

Common difference = a2 - a1

=> 9 - 2

=> -7

Answer:

0.749m and 2.25m

Step-by-step explanation:

to convert from centimeters to meters, you divide by 100 because there are 100cm in 1m

74.9cm/100= 0.749m and 225cm/100=2.25m

Answer:

Midpoint: (0, 5/2) or (0, 2.5)

Step-by-step explanation:

The diagonal BD is made of the points B(4,7) and D(-4,-2)

to find the midpoint of these points you add the two x coordinates and divide by two --> (4+-4)/2=0/2=0

Then you add the y coordinates and divide by 2 --> (7+-2)/2=5/2 or 2.5

Then you've got your midpoint.

hopefully I've understood the question correctly - hope this helps!

Answer:

Step-by-step explanation:

slope of -2 means the slope is -2/1

from (3, - 8) you can find the y intercept by going backwords until x = 0

(2,-6)

(1,-4)

(0,-2)

so the y intercept is -2

y = -2x - 2

Answer:

Step-by-step explanation:

Same: 30×40 = 1200 . . . . . 2 zeros in the factors; 2 in the product

Different: 20×50 = 1000 . . . 2 zeros in the factors; 3 in the product

__

Same: 0.3×0.4 = 0.12 . . . . no zeros in the factors; no zeros in the product

Different: 0.2×0.4 = 0.08 . . . no zeros in the factors; 1 zero in the product after the decimal point

_____

For a product, the number of zeros will be different if the combined factors of the numbers increase the number of factors of 10 beyond the sum of the factors of 10 of the numbers being multiplied.

Example: neither 2 nor 5 has a factor of 10, but their product does.

__

For a product that is a decimal fraction, the number of leading zeros will increase if the product of the mantissas of the numbers is less than 10. The number of trailing zeros will increase under the conditions discussed above. (0.25×0.4 = 0.100)

_____

Additional comment

Here, the term "mantissa" is used to refer to the portion of the number written in scientific notation that multiplies the power of 10.

Step-by-step explanation:

B

D

A

с

2

2-1

1

2

3 4 5

2 1

2

2 4 5

A

B

2-1

1

2

B

5 4 3 2 1

1

2 3 4 5

Answer:

Yes

Step-by-step explanation:

A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it, but while it may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value.

The points (5,2) and (8,2) have the same y value, but their x values are different.  It is a function (there are no values of x for which we have more than one value of y).

Answer:

Step-by-step explanation:

If you're actually looking for y + b rather than x + b

Then

xy + xb + ya + ab = (x + a)(y + b) = 32

                                        4(y + b) = 32

                                           y + b = 8

otherwise we have a situation with only two equations and four unknowns. This cannot be resolved without further information.

Answer:

15)alternate exterior, 16) corresponding angles 17) alternate exterior 18) same side interior

19) alternate interior

Answer:

Step-by-step explanation:

Given :-

Two angles in a triangle have measurements of 20° and 50 °.

To Find  :-

Measurement of third angles of triangle

Solution :-

We know that the sum of all angles of triangle is 180°.

Measurement of third angles = x

20° + 50° + x = 180°

combine like terms

70° + x = 180°

subtract both sides from 70°.

70° - 70° + x = 180° - 70°

x = 110 °

Hence, the measurement of the third angie of a triangle is 110°.

Answer:

The third option is the correct answer.

Answer:

The data covers 58 to 86 = 28 for the total distance

Each quartile will occupy a difference of 28/4 = 7

58 - 65 = first quartile (or lower quartile)

65 - 72 = second quartile

72 - 79 = third quartile

79 - 86 = fourth quartile (or upper quartile)

Notice that the first quartile ends at 65 and the second quartile starts at 65

If you divide a straight line accordingly there must not be an empty space between the first and second quartile to be all inclusive

The median is the middle point or 58 + 14 = 72

14 points lie in the range of 58 to 72 and

14 points lie in the range of 72 to 86

Answer:

  solutions

Step-by-step explanation:

Another term for the roots or x-intercepts of the standard-form quadratic equation is "solutions." These are the values of x that make the equation true.

Answer:

Total profit=$35x+$18(130-x)

Total profit=$35x+$2340-$18x

Total profit=$17x+$2340

Step-by-step explanation:

Answer:

[tex]\frac{x}{y} =\frac{9a^2}{b^2}[/tex]

Step-by-step explanation:

[tex]\frac{x}{y} :\frac{3a}{b} =\frac{3a}{b}; \ => \ \frac{x}{y} :\frac{3a}{b} *\frac{3a}{b} =\frac{3a}{b} *\frac{3a}{b}; \ => \ \frac{x}{y}=\frac{9a^2}{b^2}.[/tex]

Answer:

D. x/y = 9a^2/b^2

Step-by-step explanation:

Answer:

3-4 days

Step-by-step explanation:

So, if Elton works at each job for 5 hours, he will get $95. He would keep on doing this for 2-3 days. He would get $190 in total. The next day, he could get his $10 for being a store clerk. 190 + 10 = 200. And that's how Elton would make $200 in less than one week!