Mathematics Middle School

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Which of the following sets shows all the numbers from the set {3, 4, 5, 6} that are part of the solution to the equation 5x + 4 < 29?

Answers

Answer 1
3 and 4 can equal x but 5 and 6 can't
Answer 2
You simply substitute each number in to see if it's true. First, try 3.
5x + 4 < 29 now becomes :
5(3) + 4 < 29.
Simplify.
15 + 4 < 29
Simplify again.
19 < 29
This statement is true, so 3 works.
Now try 4.
5(4) + 4 < 29
Simplify
20 + 4 < 29
Simplify again
24 < 29
This statement is true, so 4 works.
Now try 5.
5(5) + 4 < 29
Simplify
25 + 4 < 29
Simplify again
29 < 29
This is not true, so 5 doesn't work. This means 6 also doesn't work.
*** So your answers are 3 and 4 ***

Related Questions

PLZZZ HELP WILL GIVE BRAINLIESTTTT

Answers

10 is the missing number.

What value does 4 represent in the number 487.009

Answers

400 is the answer :)                                                     
The answer to this question is 400

For his craft project, James bought 10 pieces of ribbon that were each 2.1 feet long. How many total yards of ribbon did James buy?

Answers

2.1 (ribbon length) * 10 (ribbon #) = 21

There is 1 yard in 3 feet. Divide by 3 to convert.

21 / 3 = 7

Therefore he brought 7 yards of ribbon.


James buy 7 yard of ribbon

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

James= 10 pieces of ribbon

Each of length= 2.1 feet

So, length of 10 ribbons

=2.1*10

=21 feet

Now, 1 yard=  3 feet

So, 21 feet= 21/3= 7 yard

Learn more about unitary method here:

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how many solutions does the equation 4y+7=5+2+4y have?
A. one
B. two
C. None
D. infinitely many

Answers

4y + 7 = 5 + 2 + 4y...simplify
4y + 7 = 7 + 4y

same line....infinite solutions

What's the area of a circle with a radius of 5?

Answers

First, multiply the radius by itself. 5x5=25. Then multiply by pi, or 3.14. 25x3.14=78.5. The area of the circle is 78.5units^2. Hope this helps! ;)
area=pi times radius²
given that the radius=5 units
area=pi 5²=25pi

area=25pi square units
if we use pi=3.14 aprox then
area=78.5 square units

Write a word phrase for the algebraic expression 3x+10

Answers

Hello there!

Jenny wants to park in an airport parking lot. The parking lot costs x amount of money per hour, plus an additional parking fee of $10. Jenny stays in the parking lot for 3 hours.

This causes our equation to be 3x (3 hours) + 10 (additional parking fee).

I  hope this helps!

A student wants to report on the number of movies her friends watch each week. The collected data are below:


2

14

1

2

0

1

0

2



Which measure of center is most appropriate for this situation and what is its value?
Median, 1.5
Median; 3
Mean, 1.5
Mean; 3

Answers

The best answer is:  "2" ;  which is the "mode". 

Answer:

A) Median, 1.5

Step-by-step explanation:

Since we have given that the collected data as follows:

|  2  |  14  |  1  |  2  |  0  |  1  |  0  |  2  |

As we know that there are three measures of central tendency.

1) Mean is given by

2) Media of 0, 0, 1, 1, 2, 2, 2, 14 is given by

3) Mode of 0,0,1,1,2,2,2,14 = 2as 2 is occurring most of the times, but we know that median is the best measure to find the center. Hence, Median is the best measure and its value is 1.5.

What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4?

Answers

To solve this problem, we are given the formulas for our new x and y. To use this formula, we must first establish our points 1 and 2. Since the problem specifically directed the point E which partitions the line segment “from J to K”, therefore

point 1 = point J                = (x1, y1)

point 2 = point K = (x2, y2)

The variables m and n indicates the portion of partition segment JE and EK that takes up from the original segment. Since the ratio is 1:4, then:

JE = m = 1

EK = n = 4

Therefore calculating for x and y using the given formulas:

x = [1 / (1 + 4)] (25 – (-15)) + (-15)

x = -7

 

y = [1 / (1 + 4)] (15 – (-5)) + (-5)

y = -1

 

Therefore the coordinates of point E is (-7, -1)

The x- and y- coordinates of point E (-7,-1)

Further explanation

In the coordinates of the two-dimensional plane (xy) there is a position vector.

Two dimensions because the coordinates are only x and y, three dimensions if the coordinates are x, y, and z.

If there is a point P then

You can write P as:

P = xi + yi

where i denotes the unit vector in the x and y directions

While the size of the vector:

[tex]\displaystyle P = \sqrt{x^2+y^2}[/tex]

and its direction

[tex]\displaystyle \theta=arc\:tan\:\frac{y}{x}[/tex]

If a point C divides the line segment AB by the ratio m: n, then the coordinates of point C can be formulated:

[tex]\displaystyle \vec{C}=\frac{m\vec{b}+n\vec{a}}{m+n}[/tex]

Coordinate x :

[tex]\displaystyle x=\frac{m.x_2+n.x_1}{m+n}[/tex]

Coordinate y :

[tex]\displaystyle y=\frac{m.y_2+n.y_1}{m+n}[/tex]

line segment from J to K into a ratio of 1:4, then m = 1 and n = 4

(x1,y1) from point  J= (-15,-5)

(x2,y2) from point  K= (25,15)

So coordinates of point E :

Coordinate x :

[tex]\displaystyle x=\frac{1.25+4.-15}{5}[/tex]

x = -7

Coordinate y :

[tex]\displaystyle y=\frac{1.15+4.-5}{5}[/tex]

y = -1

Learn more

Which vector should be negative

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the statements that describe a vector

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the resultant vector

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Keywords: line segment, vector, two-dimensional coordinates , x,y, partitions

To take a taxi, it costs $3 plus an additional $2.00 per mile traveled. You spent exactly $ 20 on a taxi, which includes the $1 tip you left. How many miles did you travel

Answers

Without a tip, the price is $19.
19=3+2x
16=2x
x=8
Answer: 8 miles

What is the value of x in this equation: 4x + 5 = 3x + 4? Solve the equation using the algebra tiles. x =

Answers

Answer:

Solution of the equation 4x + 5 = 3x + 4 is:

x= -1

Step-by-step explanation:

We are given a equation:

4x + 5 = 3x + 4

We have to solve the equation for x

4x+5=3x+4

subtracting both sides by 4

4x+5-4=3x+4-4

4x+1=3x

subtracting both sides by 4x

4x|+1-4x=3x-4x

1= -x

⇒ x= -1

Hence, solution of the equation 4x + 5 = 3x + 4 is:

x= -1

Solve the following system of equations by substitution. 3x + 2y = -12 x = 2 A. (2, -9) B. (-2, -3) C. (3, 2) D. (2, 3)

Answers

Plugging it in, we get (3)(2)+2y=-12 and 6+2y=-12. Subtracting 6 from both sides, we get -18=2y and dividing by 2 we get y=-9  to get (2, -9) since x is first in the pair

the age of two groups of yoga students are shown in the following dot plot

Answers

Since the mean absolute deviation (MAD) is lower for group P, this means that group P has less variability compared to group Q.

The answer is choice A.

If c1 and c2 are real numbers, give the relationship between them that will allow you to find solutions for the equation x^n + c1 = c2, regardless of the value of n.

Answers

so solving for x

minus c1 from both sides

x^n=c2-c1
take the nth root of both sides
[tex]x=\sqrt[n]{c_2-c_1}[/tex]

dunno about the relationship between them but that's what x is

when multiplying two or more fractions, you should?

Answers

you should multiply 2 at a time and not try to do them at the same time also if the fraction numbers a high you can cross simplify the numbers so multiplying them won't be as hard. so, for example, 8/12*16/36*50/100 you can simplify 8/12 to 2/3  16/36 to 4/9 50/100 to 1/2 then you can multiply 2/3*4/9 and then 8/27*1/2 to equal 8/54 and you can still simplify 8/54 to 4/27

Nancy rides her bicycle 10 miles at an average rate of 12 miles per hour and 12 miles at an average rate of 10 miles per hour. What is the average rate for the entire trip? Explain your answer.

Answers

her average rate of the entire trip would be 2 hours since 12mph for 10 miles and 12 miles going 10mph would crossed each other out and have 10 miles go 10mph (1 hour) and 12 miles going 12mph(1 hour)
1+1=2

Which expression shows a sum of three terms?

3x
3 + x
x3
x + 3 + x

Answers

the sum of 3 terms..." sum " means add

x + 3 + x <==
The correct answer is:  [D]:  " x + 3 + x" .
___________________________________________________
The three (3) terms are:  "x" , "3" , and "x" .
___________________________________________________
Answer choice  [A]:  "3x" ;  only has one term.
___________________________________________________
Answer choice  [B]:  "x + 3 " ; only has two terms:  "x" and "3" .
___________________________________________________
Answer choice  [C]:  "x³ " ; only has one term.
___________________________________________________

Find the sum of this infinite geometric series where a1=0.3 and r=0.55

Answers

Hello, Marymack!


We know that in a geometric sequence defined by [tex]\mathsf{a_1}[/tex] and [tex]\mathsf{r}[/tex] , the sum can be calculated the following way:

[tex]\mathsf{S_n = \dfrac{a_1}{1-r}}\\ \\ \\ \\ \mathsf{S_n = \dfrac{0.3}{1-0.55}}\\ \\ \\ \mathsf{S_n = \dfrac{0.3}{0.45}}\\ \\ \\ \boxed{\mathsf{S_n = \dfrac{2}{3}=0.666...}}[/tex]

Answer:

The sum of the infinite geometric sequence is given by:

[tex]S_{\infty} = \frac{a_1}{1-r}[/tex]          ....[1]

where,

[tex]a_1[/tex] is the first term

r is the common ratio.

As per the statement:

Given that [tex]a_1 = 0.3[/tex] and r = 0.55

To find the sum of this infinite geometric series.

Substitute the given values in [1] we have;

[tex]S_{\infty} = \frac{0.3}{1-0.55}[/tex]

⇒[tex]S_{\infty} = \frac{0.3}{0.45}[/tex]

Simplify:

[tex]S_{\infty} \approx 0.67[/tex]

Therefore,  the sum of this infinite geometric series approximate is, 0.67

Last year, Raul estimated that he would need 480 night lights, but he sold 420 night lights. This year, he bought 425 night lights and only sold 375. Which set of statements about the percent errors for the two years is true

Answers

The percent error for this year was lower. Raul estimated better this year is your answer.
Hope it helped <3

Answer:

The answer is C in edg.

find the volume of the shaded solid. Round your answer to 2 decimal places if necessary. Use pi=3.14 when necessary. cylinder with these 6ft, 18ft, 30 ft.

Answers

Ok so what we have is a large cylinder with a hollow cylindrical tube running thru the center. The volume of the shaded region should be the volume of the entire large cylinder (C) minus the volume of the small cylindrical tube (c): C - c
The volume of any cylinder is the area of the top circle (pi×r^2) times the height (h) of the cylinder, where r=radius of the circle. So: h×pi×r^2
The heights are the same for C and c, so we can call that h in both, which = 30ft. Now C's radius (R) = 1/2 of diameter, which is 18ft. So R = 9ft
c's radius (r) is 1/2 of its diameter, which is 6ft. So r = 3ft. Now we can set it up:
C - c = (h×pi×R^2) - (h×pi×r^2)
*since the h and pi in both formulae are multiplied by the other variable, we can factor that out:
h×pi(R^2) - h×pi(r^2) = h×pi(R^2-r^2)
h×pi = 30ft.×3.14 = 94.2ft. -->
94.2ft(9ft^2-3ft^2) = 94.2ft(81-9ft^2)
= 94.2ft(72ft^2) = 6782.4 ft.^3

Solve for x: the quantity of x plus 4 all over 2 = 7.

x = 3
x = 5
x = 6
x = 10

Answers

the actual answer is 10 , 10 plus 4 is 14 and 14 divided by 2 equals 7 so the answer is 10
 i hope this helped

Jared flipped a fair coin 50 times. He expected half of his tosses to land on heads, but he only got heads 15 times. If he increased the number of times he flipped the coin to 500, he should expect the number of heads to be-

Answers

150 but this wouldnt be how many times it happens because it is all based of off chance and possibility

Maybe its 150, i think

A triangle has one side that measures x, and the other two sides each measure 4 inches less than x. The perimeter is 19 inches.

What is the measure of x?

Answers

perimeter of a triangle = all 3 sides added together

x + (x - 4) + (x - 4) = 19
3x - 8 = 19
3x = 19 + 8
3x = 27
x = 27/3
x = 9 <==

Answer: Simplified version of the answer above: (x = 9) is the correct answer.

Step-by-step explanation:

A store had 235 MP3 players in the month of January. Every month ,30% of the MP3 players were sold and 50 new MP3 players were stocked in the store. Witch recursive best represents the number of MP3 players in the store f(n) after n months?

Answers

f(n)=235-(235*.3^n)+50n is your equation where * is multiplication and ^ it to the power to.

find the solution of the system of equations 2x-4y=32 2x-8y=48

Answers

2x-4y=32
2x-8y=48
--------------subtract
4y = - 16
y  = -4

2x-4y=32 
2x- 4(-4)=32 
2x + 16 = 32
2x = 16
x = 8

answer
(8, -4)
2x - 4y = 32
2x - 8y = 48

Multiple equation 2 by -1 so the 'x' variables will cancel.
-1(2x - 4y = 32)
-2x + 4y = - 32
 2x - 8y = 48
-------------------- add
     - 4y = 16      divide both sides by -4
         y = -4
Plug -4 back into either equation and solve for y.
2x - 4y = 32
2x -4(-4) = 32
2x + 16 = 32  subtract 16 from both sides
2x = 16          divide both sides by 2
x = 8
(8, -4)

Use a calculator to evaluate 8 · cos30° rounded to four decimal places.

Answers

Cos(30) • 8 = 6.9282-0323

Answer:

The value of 8 cos 30° rounded to four decimal places = 6.9282

Step-by-step explanation:

Here we need to find the value of 8 cos 30° rounded to four decimal places.

Using the calculator to find the value

          8 cos 30° = 6.9282032302755

Rounding the number to   four decimal places, we will get

         8 cos 30° = 6.9282

The value of 8 cos 30° rounded to four decimal places = 6.9282

The equation x = 6 represents a vertical line. True or false

Answers

True, as for any line [tex]x=a[/tex]
the answer is true because you need to find similar coordinates to make it vertical

What is the range of y=sec x

Answers


y≤-1, y≥1 is the range of y=sec x

The values where cos(x) is equal to 0 are excluded from the domain of the function y=sec(x)=1cos(x), or the values 2+n for all integers n. The function's range is either y<=1 or y>=1.

What is  domain?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x).

here, we have,

we know that  "secant function" mean:

Its root is the Latin verb secare, which means "to cut." Any line that intersects a circle twice is referred to as a secant line, and you can conceive of this line as slicing the circle in half. The distance from the origin to the point where the tangent line intersects the x-axis is the secant function.

now,  the identity of the sec is:

1/cos(x) = sec(x) Cot (x) = 1/Tan (x)

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Write an algebraic expression for 15 decreased by twice a number

Answers

The expression would be:
15-2x

Hope this helps!
-Benjamin
15- (y2) should get you the answer... Hopefully.

Simplify (−34.67)0.
−34.67
−1
0
1

Answers

Im pretty sure that it's 0

Answer:

The answer is 1.

Im sorry I forgot the step by step explanation, but I had this in a quuiz a while ago and the answer is 1.

Which number is equivalent to the fraction 18/5

Answers

(18/5)(2/2)=36/10=3.6
18/5 = 36/10
Multiply two to both numerator and denominator and the answer would be 36/10 and when simplified 18/5.
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