30 points!!!!

- Part A: Explain why x = 5 makes 4x - 13 19 true but not 4x -1 < 19. (5 points)

Part B: What value from the set (6,7,8,9,10} makes the equation 5x + 2 = 47 true? Show your work (5 points)

Answers

Answer 1

Answer:

Part A is ≤ means less than OR equal to. < only means less than

Part B is 9

Step-by-step explanation:

A: Because it would equal 19, and 19 is equal than 19. 4(5) - 1 would equal 19, which is equal to 19, and not less than. ≤ means less than or equal to. < means less than. So its not true.

B: 47 - 2, 45. Then 5 x 9 equals 45. So 5 x 9 equals 45, then add 2 would equal 47.


Related Questions

Max has a square piece of cloth. He cuts it in half from one corner to the opposite corner. How many sides does each of the cut pieces have?

Answers

Answer:

Step-by-step explanation:

You have a cloth:

____________

|                        |

|                        |

|___________|

and you cut it in half.

There are three sides

Answer:

Step-by-step explanation:

The cut pieces will each have three sides:  two that are equal and one that is the hypotenuse.

If the original square had sides of length s, then the cut pieces would each have two of that length:  s and s; the third side would have length h = √(s² + s²), or h = s√2.

What is the value of the rational expression when x = 2?

Answers

Answer:

4

Step-by-step explanation: If this regarding the splitting of two polynomials put through the pyth theorem.

Please help with my homework. I will give a brainlist out. Only solve 27 please.

Answers

Answer: 5 ft

Step-by-step explanation: A = bh h = A/b 85/17 = 5

the mean age of the teachers on a school safety committee is 33.4 years. a 16-year old student representative joins the committee. which sentence is true?
a. the new mean age is greater than 33.4 years.
b. the new mean age is less than 33.4 years.
c. the new mean age is 27.4 years.
d. the mean age is still 33.4 years.

Answers

Answer:

b. The new maen age is less than 33.4 years.

Graph the solution to this inequality on the number line.

12x−3<−138

Answers

Answer:

Step-by-step explanation:

1. Solve

12x-3+3<-138+3 <=== Add three to both sides to simplify the inequality

12x÷12<-135÷12 <=== divide by 12 on both sides so we can find what x is so that we can graph the inequality

x<-11.25 <=== negative divided by positive is always negative

2. Graph

1) you find -11.25 on the number line

2) you put an ray with an empty/hollow circle facing towards the negative side

which is an algebraic expression for the product of 10 and a

Answers

the product of 10 and a

10 × a = (product)

What is the equation of the line parallel to the line with equation y=2/3x +1 and passing through the point (6,-2)?

Answers

Step-by-step explanation:

y= (-2/3) x-6 is parallel to y= (-2/3)x +4 goes through the point (3,-8)


Which one is equal to 6 x 10^5
A (3 x 10^8) (2 x 10^-2) or B 600,000,000

Answers

Using scientific notation, it is found that the value that is equals to 6 x 10^5 is given by:

A (3 x 10^8) (2 x 10^-3)

What is scientific notation?

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

When two numbers are multiplied, we multiply the bases and add the values of the exponents, hence:

[tex](3 \times 10^8) \times (2 \times 10^{-3}) = 6 \times 10^5[/tex]

More can be learned about scientific notation at https://brainly.com/question/16394306

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number of solutions of quadratic equations

Answers

Answer:

Discriminant = 120

Number of x intercepts = 2

=========================================================

Explanation:

The equation is of the form ax^2+bx+c with:

a = -7

b = 8

c = 2

The discriminant is

d = b^2 - 4ac

d = 8^2 - 4(-7)(2)

d = 64 + 56

d = 120

The discriminant is positive, meaning there are 2 different x intercepts.

If d = 0, then we'd have only one x intercept.

If d < 0, then there wouldn't be any x intercepts.

which angles are congruent in the isosceles triangle

Answers

b and c are correct

If f(x) = (x³ + 25), find the inverse of f.

Answers

Answer:

y = ∛x - 25

Step-by-step explanation:

To find the inverse function, swap x and y , and solve the resulting equation for x.

If the initial function is not one-to-one, than there will be more than one inverse.

So, swap the variables: y = x³ + 25 becomes x = y³ + 25

Now solve the equation, x = y³  + 25 for y.

y = ∛x - 25

What is the volume of this figure?

Enter your answer in the box.

Answers

Answer: 2080

Step-by-step explanation: formula for volume of trapezoid prism is bh. 10 times 19 is 190. formula for rectangular prism is lwh. 7 times 30 times 9 is 1890. add 190 and 1890 for both of their volumes.

Angle Terminology with Equations
(Please Full Explanation)
Delta Math:

Answers

Supplementary angles are angles that sum up to 180 degrees

∠A and ∠B are supplementary angles

∠A + ∠B = 180°2(x) - 24 + 5(x) - 27° = 180°7(x) -51° = 180°7(x) = 180° + 51°7(x) = 231°x = 33°

Find ∠B

5(x) - 27°5(33) - 27°165° - 27138°

Therefore ∠B is 138 degrees

Answer:

∠B = 138

Step-by-step explanation:

Suplementary means = 180 soooo

180=(2x-24)+(5x-27)

180=7x-51

231=7x

x=33

B=5x-27

5(33)-27= 138

What is 3/8÷(−5/12)?
A.) −32/5
B.) −9/10
C.) −10/9
D.) −5/32

Answers

Answer:

B

Step-by-step explanation:

Answer: B
Explanation: Because 3/8 divide -5/12 goes to 3/8 times -12/-5 which then leads to 36/-40. Divide by 4. Which would then equal to -9/10.

I hope this helps

Please Help!!
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.

Answers

Answer:

cosZ = [tex]\frac{12}{37}[/tex]

Step-by-step explanation:

cosZ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{YZ}{XZ}[/tex] = [tex]\frac{12}{37}[/tex]

Cos = adj/hyp

Adj of Z = 12

Hyp of Z = 37

Cos = 12/37

hope this helps :)

44 is the sum of 14 and Rick's savings.​

Answers

30 ricks savings is 30

Find two consecutive whole numbers that
124 lies between.

Answers

Answer: 123 and 125.

Step-by-step explanation:

Aaron makes $45 dollars per day delivering newspapers. He earns 0.75 for each newspaper he delivers. How many newspaper, n, must he deliver in one day to make at least $60

Answers

Answer:

20 newspapers

Step-by-step explanation:

First create an equation.

y = 0.75x + 45

Now substitute 60 y and solve for x.

60 = 0.75x + 45

60 - 45 = 0.75x + 45 - 45

15/0.75 = 0.75x/0.75

x = 20 newspapers

he makes 20 because x= 20

Helppppppp pls :))))))))

Answers

Answer:

g(x) = x^2 - 7

Step-by-step explanation:

Helena is an engineer that designs packaging for new products. She designed a box in the shape of a rectangular prism with dimensions of 10 inches by 7 inches by 4 inches. What is the surface area of the box? 138 square inches 276 square inches 280 square inches 441 square inches

Answers

Answer

276 square inches.

Step-by-step explanation:

Area of rectangular prism = 2(lb + bh + lh)

2(10*7 + 7*4 + 10*4)

2( 70 + 28 + 40)

2 * 138

276 square inches
please give me Brainliest

Answer:

answer is b

Step-by-step explanation:

can someone help me please

Answers

Answer:

3.A

4.D

Step-by-step explanation:

in 3, A is correct because it follows the rule in the picture attached. In question 4 D is not appropriate because log base 9 to the power 9 is equal to 1, but log base 9 to the power 4 + log base 9 to the power 5 is not 1

Select the correct answer.
Which statement is always true?
A.
A cross section parallel to the base of a right rectangular prism is a square.
B.
A cross section perpendicular to the base of a right rectangular prism is congruent to the base.
C.
A cross section parallel to the base of a right rectangular prism is congruent to the base.
D.
A cross section perpendicular to the base of a right rectangular prism has the same dimensions as the base.

Answers

Answer: C. A cross section parallel to the base of a right rectangular prism is congruent to the base.

Step-by-step explanation: Cross sections that are parallel to the base will give the shape of the base.  That means that when you do a cross section that's parallel to the base, you're making a horizontal line that goes left to right that is the same as the base.  Therefore, C is your answer.

Let me know if this is right! :)

put the decimal point in the correct places to get the difference 323 - 362 = 28.68

Answers

The correct location is between the two and three for the first digit and the three and six for the second number.

If Shannon wants to fill a spherical balloon so that it has a circumference of 8π in, how much air will she need to use to fill the balloon?

Answers

The Volume of air needed for a spherical balloon of radius 4 inch and circumference 8π is 85.3 cubic inch

Volume of Sphere

Given Data

Circumference = 8π

Let us find radius

circumference = 2πr

8π = 2πr

8 = 2r

r = 8/2

r = 4 inch

Let us find the volume of the sphere

Volume = 4/3πr^3

Volume = 4/3* π*4^3

Volume = 4/3*π64

Volume = 256π/3

Volume = 85.3 cubic inch

Learn more about volume of sphere here:

https://brainly.com/question/22807400

please help giving 20 points​

Answers

Answer: 13

Step-by-step explanation:

      We will use the order of operations to solve.

Given:

20 ÷ (5 * [tex]\frac{2}{5}[/tex]) + 3

Multiply:

20 ÷ ([tex]\frac{10}{5}[/tex]) + 3

Divide:

(20 * [tex]\frac{5}{10}[/tex]) + 3

[tex]\frac{100}{10}[/tex]

Add:

10 + 3

13

A circle is drawn to represent a pizza with a 12
inch diameter. The circle is cut into eight
congruent pieces. What is the length of the outer
edge of any one piece of this circle?

Answers

Answer:

Step-by-step explanation:

diameter/2 = radius

12/2 = radius

radius = 6

The outer edge means you are measuring the circumference of the pizza.

Circumference = 2(pi)(radius)

Circumference = 2(pi)(6)

You are only finding 1/8 of the circumference

Therefore you are multiplying the circumference by 1/8

Length of 1 slice = (1/8)((2)(pi)(6)) = (12/8)(pi) = (3/2)(pi) = (3(pi)) / (2) or 4.71 inches

The length of the outer edge of any one piece of this circle will be 4.71 inches.

What is the arc length of the sector?

Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/360°) 2πr

A circle is drawn to represent a pizza with a 12-inch diameter. The circle is cut into eight congruent pieces. Then the central angle of each sector will be given as,

θ = 360° / 8

θ = 45°

And the radius is given as,

r = 12/2

r = 6 inches

Then the length of the outer edge of any one piece of this circle will be

Arc = (θ/360°) 2πr

Arc = (45/360°) 2π x 6

Arc = 1/4 x 3.14 x 6

Arc = 4.71 inches

The length of the outer edge of any one piece of this circle will be 4.71 inches.

More about the arc length of the sector link is given below.

https://brainly.com/question/15955580

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A hiker travels 6 mph, which is 3/11 the rate of a cyclist. Suppose the cyclist is following behind the hiker. How fast does the distance between them decrease?

Answers

How fast the distance between them decrease is 16mph

How to calculate the speed of an object?

Given the following parameters

Speed of the hiker = 6mph

If is it 3/11 the rate of a cyclist, then the rate of the cyclist will be:

6 = 3x/11
3x = 66

x = 22mph

Distance between them  = 22 - 6

Distance between them = 16mph

Hence how fast the distance between them decreases is 16mph

Learn more on speed here: https://brainly.com/question/4931057

Answer: 28 mph

Step-by-step explanation:

Write 4.58 correct to 1 decimal place.

Answers

4.6
Round the tenths place up one

-
What is the vertex of f(x) = 5x^2 + 20x – 16?

Answers

Vertex is found by -b/2a. A is 5. B is 20. C is -16.
Take -20/(2 times 5)
Which is -20/10
That is -2
-2 is the answer for x coordinate.
Plug -2 into function to get 20+(-40)+(-16)
Which is -36.
So we get (-2, -36)
Mark as the best!

Answer:

(-2, -36)

Step-by-step explanation:

This is written in Standard Form

[tex]f(x)=5x^{2} +20x-16[/tex]

[tex]ax^{2} +bx+c[/tex]

Convert to vertex form.

[tex]f(x)=a(x-h)^{2}+k[/tex]

[tex]f(x)=5(x+2)^{2}-36[/tex]

A spinner is divided into 5 sections of equal area, with numbers 1, 3, 5, 7, and 9 in it. What is the probability of the spinner landing on 7?

Answers

Step-by-step explanation:

You can only get 5 numbers which are : 1, 3, 5, 7, 9.

There is only one occurrence of the number 7. To get the probability of the spinner landing on 7 is given by the occurence of a certain object (7 in this case) divide by the total number of objects.

Answer:

1/5(1 over 5)

Step-by-step explanation:

out of the 5 numbers

u can land on 7 one time

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