What is the solution to this equation?
4(3x + 5) = 5(x + 4) + 7x

Answer:z=5 the last option I hope this is helpful to you and anyone else who needs help

Step-by-step explanation:

2(3z-2)+8=34

Distribute 2 through the parentheses

6z-4+8=34

Calculate the sum

6z+4=34

Move the constant to the right-hand side and change its sign

6z=34-4

Subtract the numbers
6z=30

then Divide both sides of the equation by 6

z=5

Answer: 38

step by step

deltamath

Answer:

38

Step-by-step explanation:

Answer:

21/128

Step-by-step explanation:

Area = L * w

L = 7/8

w = 3/16

Area = 7/8 * 3/16

Numerator of the answer = numerator * numerator = 3 * 7 =21

denominator of the answer = denominator * denominator = 8 * 16 = 128

Answer is 21 / 128. This fraction cannot be reduced.

The answer is A

Answer:

21/128 in²

Step-by-step explanation:

Area = lw

=> 7/8 × 3/16

=> 21/128 in²

Hence,

Area is 21/128 in²

The number of people who saw a comedy and spent less than or equal to $10 at the concession stand is 108.

The first step is to determine the number of people would watched comedy.

Number of people who watched comedy = (ratio of people who watched comedy / sum of ratios) x total number of people

Sum of ratios = 2 + 9 = 11

Number of people who watched comedy = (9/11)  x 176 = 144

Number of people who saw a comedy and spent less than $100 = percentage of people who spent less than $100 x number of people who watched a comedy

Number of people who saw a comedy and spent less than $100 = (1 - 0.25) x 144

Number of people who saw a comedy and spent less than $100 = 0.75 x 144 = 108

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Answer:

Step-by-step explanation:

given

P= $26,000

R = 4%

T = 5 years

find I ?

I = P.R.T

I = $26,000*0.04*5

I = 5,200

Answer:

\(y=5(x-3)^2+2\)

Step-by-step explanation:

\(y=a(x-h)^2+k\\y=a(x-3)^2-2\\\\3=a(4-3)^2-2\\3=a(1)^2-2\\3=a-2\\5=a\\\\y=5(x-3)^2+2\)

By using the vertex form of a parabola, we were able to plug in the vertex (h,k)=(3,-2) and then eventually our point (x,y)=(4,3) to solve for "a" to get the final function.

Answer:

27/2

Step-by-step explanation:

x=1 y=9/2

x=3 y=27/2

Answer:

27/2

Step-by-step explanation:

Given the diagram above, which is a combination of three right triangles,

27) m∠DGE = 45°

28) m∠EDG = 85°

29) FD = 10

30) GD = 14

31) EG = 19.

27) m∠DGE = 45°

This is because m∠DGE is an alternate angle to m∠BAD which is = 45°. Recall that alternate angles are congruent.

28) m∠EDG = 85° because it is the vertical opposite of ∠ADC. Note that  ∠ADC = 180 - 45 - 50

= 85°

29)  and 30)

Given FG=10 and m∠DGE=45°,

FD = √DG² - FG²

Since we don't have FD

We use Cos Rule

GD = FG/cos(α)

GD = 10/Cos 45°

GD = 14.142356237

Thus,

FD = √14.1421356237312 - 102

FD = √100

FD = 10

31)

EG = EF + 10

EF = √(GD² - FG²

EF = √(14² - 10²)
EF = √80.982478588641

EF =  8.99903

Hence,

EG = 8.99903 + 10

EG \(\approx\) 19

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Answer:

b

Step-by-step explanation:

Answer:

y = 5/16

Step-by-step explanation:

\(y\ \alpha\ \frac{1}{x^2}\\\\y = k \times \frac{1}{x^2}\\\\y = \frac{4}{5}, x = 5.\\\\\frac{4}{5} = k \times \frac{1}{5^2}\\\\\frac{4}{5} \times 5^2 = k\\\\20 = k\\\\Now \ find\ y, \ when \ x = 8\\\\y = k \times \frac{1}{x^2} = 20 \times \frac{1}{8^2} = 20 \times \frac{1}{64} = \frac{5}{16}\)

Answer:

b. 4

c. 90⁰

Step-by-step explanation:

a. is in the diagram

Answer: C

Step-by-step explanation:

The answer would be C because you have to look at the two closest perfect squares that the number is in between. 47 is in between six squared (36) and seven squared (49). That is why the answer would be somewhere between six and seven.

Answer:B.6 and 7

Step-by-step explanation: square root of 47 =6.9

To find the volume of the solid, you need to calculate the area of each cross-section and then multiply that by the thickness of the section (which is the distance along the y-axis).

(a) Squares: The cross-sections are squares with sides of length y. The area of a square is side^2, so the area of each square is y^2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the square cross-sections is y^2 * y

(b) Semicircles: The cross-sections are semicircles with radii of length y. The area of a semicircle is (pi * r^2) / 2 , so the area of each semicircle is (pi * y^2) / 2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semicircular cross-sections is (pi * y^2) / 2 * y

(c) Equilateral triangles: The cross-sections are equilateral triangles with side length of y. The area of an equilateral triangle is (s^2 * √3)/4. so the area of each equilateral triangle is (y^2 * √3) / 4. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the equilateral triangle cross-sections is (y^2 * √3) / 4 * y

(d) Semi-ellipses: The cross-sections are semi-ellipses whose heights are twice the lengths of their bases. The area of a semi-ellipse is πab/2, where a and b are the lengths of the semi-major and semi-minor axes respectively. Therefore the area of each semi-ellipse will be (πy^2)/2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semi-ellipse cross-sections is (πy^3)/2

It is important to note that this is a theoretical volume calculation, as the shape of the solid does not have a closed form representation by these functions, but rather, these are an approximation.

Also, for any of these volumes to be meaningful, we have to integrate over the range of the variable y, since it is bounded by the equations y=x, y=0 and x=1, the variable y is limited.

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Answer:

oooh really............

The length BC of the bisected line segment is: 11.5

Usually a line that bisects a segment usually divides that segment into two equal parts.

Now, we are told that DE bisects Line AC at point B where AB = 3a + 4.

Thus, from the idea of a bisected segment, we can easily say that:

2(3a + 4) = a + 23

6a + 8 = a + 23

6a - a = 23 - 8

6a = 15

a = 15/6

a = 5/2

a = 2.5

Thus:

AB = BC = 3(2.5) + 4

BC = 11.5

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Answer:

False

Step-by-step explanation:

If the card is removed after it is picked, the number of cards in the deck decreases. For example, if you pick the first card remove it. The cards available decreases to 51, so the probability becomes 1/51 for the next draw. This is dependant probability.

Answer:

Yes because AB ⊥ BC

Step-by-step explanation:

Answer: Yes because AB ⊥ BC

Step-by-step explanation: Khan Academy

Answer:

(40+ 19) – 38

Step-by-step explanation:

We need to find the expression for "thirty-eight less than the sum of forty and nineteen".

Sum of forty and nineteen = 40 + 19

38 less than the above is 40 + 19 - 38

Overall expression is :

(40 + 19) - 38

Hence, the correct option is (d) "(40+ 19) – 38".

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer: most likely 2,2 I believe

Step-by-step explanation:

Answer:

To find the fraction of the total audience that were students or teachers, you need to add the fractions of students and teachers and simplify the result.

5/12 + 1/8 = (53) / (123) + (16) / (86) = 15/36 + 6/48 = 15/36 + 3/24 = 18/36 + 3/24 = (18+3) / (36+24) = 21/60

So 21/60 of the total audience were students or teachers.

Answer:

D. No, because the given numbers do not satisfy the equation a² + b² = c²

Step-by-step explanation:

For the set of numbers; 24, 20, 32, to form a pythagorean triple, they must satisfy the equation a² + b² = c².

Where, c is the longest side (hypotenuse), while a and b are the two other legs.

Let's find out.

a = 20, b = 24, c = 32

Plug in the value into the equation

20² + 24² = 32²

976 = 1,024 (this is not true).

976 is not equal to 1,024.

The set of given numbers does not form a pythagorean triple because it does not satisfy the equation a² + b² = c².

Answer:

h = 6

Step-by-step explanation:

h is the short leg for AD in ΔADC: AD = 12

h is the long leg for DB in ΔCDB: DB = 3

Hence:

12/h = h/3

3 * 12/h = 3 * h/3  ==> isolate h by multiplying 3 on both sides

36/h = h

h * 36/h = h*h  ==> multiply by h on both sides to remove fractions

36 = h^2

h = \(\sqrt{36}\)

h = 6

The domain of the function above is [-2, 3].

The range of the function above is [-2.5, 2].

The intervals over which the function is increasing is [-2, 1.5] U [-2.5, 2].

The intervals over which the function is decreasing is [1.5, -2.5].

In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.

Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of this rational expression (function)   shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = [-2, 3] or -2 ≤ x ≤ 3.

Range = [-2.5, 2] or -2.5 ≤ y ≤ 2.

Additionally, the intervals over which the function is increases over the interval [-2, 1.5] and [-2.5, 2], while it decreases over the interval [1.5, -2.5].

In conclusion, the given function is not constant over any interval.

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Answer:

110

Step-by-step explanation:

5.5 x 20 = 110