This system of linear inequalities can be used to find the possible heights, in inches, of Darius, d, and his brother William, w.

d ≥ 36

w < 68

d ≤ 4 + 2w

Which statements must be true about their heights? Select three options.

Darius is at least 36 inches tall.
Darius is at most 36 inches tall.
William’s height is less than 68 inches.
William’s height is at least 68 inches.
Darius is less than 4 inches taller than twice William’s height.
Darius is no more than 4 inches taller than twice William’s height.

Answers

Answer 1
Answer: A, C, F

(A) Darius is at least 36 inches tall.

(C) William’s height is less than 68 inches.

(F) Darius is no more than 4 inches taller than twice William’s height.

Step-by-step explanation:

edge2022

Answer 2

The inequality w < 68 can be written as William’s height is less than 68 inches.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, d ≥ 36, w < 68 and d ≤ 4 + 2w.

Atleast means all probabilities larger than the given probability ('at least') Atmost means all probabilities smaller than the given probability ('at most')

Here, d ≥ 36

Darius is at least 36 inches tall.

w < 68

William’s height is less than 68 inches.

d ≤ 4 + 2w

Darius is no more than 4 inches taller than twice William’s height.

Therefore, the inequality w < 68 can be written as William’s height is less than 68 inches.

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Related Questions

Two semicircles are attached to the sides of a rectangle as shown. What is the area of this figure?​

Answers

144 would be your answer

What is the perimeter of the trapezoid?

Answers

Answer:

20 units

Step-by-step explanation:

Perimeter is sum of the side lengths

Bases are 1 and 9 units

Sides are

√(3²+4²) = √25 = 5 units each

Perimeter is:

P = 1 + 9 + 2*5 = 20 units

Heidi makes stuffed toys. The initial cost for the raw material is $100 for 30 stuffed toys. Every stuffed toy she makes earns her $10. Which graph represents the profit made by Heidi for x number of stuffed toys sold?
A.

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Here’s the answer :)


Find the value of x
classify the triangle

Answers

Hey mate.....

Step-by-step explanation:

This is ur answer.....

Triangle fixed value = 180

x = 180 - (45 + 44)

x = 180 - 89

x = 91

○ Right Scalene triangle

( Because all sides are different)

Hope it helps!

mark me brainliest plz.....

Follow me! :)

The value of angle x will be 91° for the given triangle.

What is a triangle?

A triangle is a polygon with three sides, three vertices (corners), and three angles. The sum of the three angles in a triangle is always 180 degrees. Triangles are important in geometry and mathematics, and they have many applications in science, engineering, and everyday life.

Triangles can also be used to calculate the areas of various two-dimensional shapes and to solve problems related to distance, angles, and proportions.

Triangle fixed value = 180

x = 180 - (45 + 44)

x = 180 - 89

x = 91

Therefore, the value of x is 91°

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YOU WILL GET MARKED WITH STARS IF U GET IT RIGHT! :))

Answers

Answer:

Number 4 (the one in the bottom right)

Step-by-step explanation:

Just use the distributive property

Answer:

I believe the correct answer is n+n+n+n+n and n^5

Step-by-step explanation:

hoped I helped:)

HELP ME PLEASE!!!!
ΔAXY ~ ΔABC. What is the value of BC

Answers

Answer:

BC = 28 [tex]\frac{1}{3}[/tex] ft

Step-by-step explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AX}{AB}[/tex] = [tex]\frac{XY}{BC}[/tex] , substitute values

[tex]\frac{12}{20}[/tex] = [tex]\frac{17}{BC}[/tex] ( cross- multiply )

12BC = 340 ( divide both sides by 12 )

BC = [tex]\frac{340}{12}[/tex] = [tex]\frac{85}{3}[/tex] = 28 [tex]\frac{1}{3}[/tex]

Solve the system by substitution. Show all of your work.
3x – 2y = -2
3x + y = 10

Answers

Answer:

x = 2 ; y= 4

Step-by-step explanation:

3x -2y = -2

y = -3x+10

3x + 6x -20 = -2

9x = 18

x = 2

y = -6 + 10

y = 4

Answer:

x = 2

y = 4

Steps:

given:

3x – 2y = -2

3x + y = 10

2y = 3x+2

y = (3x+2)/2

3x + y = 10

3x + (3x+2)/2 = 10

(6x+3x+2)/2 = 10

(9x + 2)/2 = 10

9x + 2 = 20

9x = 18

x = 2

y = 4

is tangent to circle A. Determine the length of 2.
Question 4 options:

1)

5

2)

8

3)

13

4)

12

Answers

Answer:

Not sure about the question but I believe you are looking for the length of AC.

Then the answer is choice 3) 13

Step-by-step explanation:

AC² = 5² + 12² = 25 + 144 = 169

AC =√169 = 13

The required length from the point outside the circle to the point on the circle i.e. CE is 8 and the length from the point outside the circle to the center is 13.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on coordinate plane and r is the radius of the circle.

Here,
C is the point outside the circle and tangent drawn to the circle from C to B of length 12, the radius of the circle is 5. Since the radius is always perpendicular to the circle's tangent,
So
ABC is right angle triangle
AB = 5 ; BC = 12
Now applying the Pythagorean theorem
AC² = AB² + BC²
AC  = √(5² + 12²)
Ac = √(25+144)
AC = √169
AC = 13

Now,
AC = AE + EC
(AE = AB)
AC = AB + EC
13 = 5 + EC
EC = 8


Thus, the required length from the point outside the circle to the point on the circle i.e. CE is 8 and the length from the point outside the circle to the center is 13.

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PLEASE HELP ME
For pic one, just tell me the letter (dont have to work anything out)

For help (pic) 2, the two missing reason options are:
4- A) given B)reflexive property of congruence C)Definition of a midpoint D)definition of equilateral
5- A) SAS B)ASA C)SSS D)AAS

Answers

Answer:

1. AAS 2. sorry

Step-by-step explanation:

1. Those angles that are marked are the same. The lengths of the lines too. And the angle H(both) are the same.

2. sorry (what are the choices?)

3x+26+7x combine like terms

Answers

Answer: 10x+26

Step-by-step explanation:


Someone help please and make sure it’s right:)

Answers

Answer:

-9

Step-by-step explanation:

(x + 89)° + (x + 109)° = 180°

(interior angles on the same side of transversal)

(2x + 198)° = 180°

2x + 198 = 180

2x = 180 - 198

2x = - 18

x = - 18/2

x = - 9

How many degress is angle BHA?

Answers

Answer:

90°

Step-by-step explanation:

follow the tangent rule.

What is 96%*7 /3
Please ASAP

Answers

Answer:

Step-by-step explanation:

96 % of 7/3 is

96/100 * 7 / 3

= 2.24

Answer:

2.24

Step-by-step explanation:

96% = .96

.96 x 7/3 = 2.24

Or

.96 x 7 = 6.72

6.72 / 3 = 2.24

I been at this Problem For A while now And i just don't understand It

Answers

Answer:

it's february and august because you put the highest and lowest together


The number of students who picked each subject is shown.
What percent of students did not pick History?

Answers

Answer: 90% of students did NOT choose history.

Step-by-step explanation:

Art - 32.5%

Spanish - 7.5%

ELA - 10%

Math - 15%

Science - 25%

When added altogether each subject equals 90%, leaving the other 10 percent history. 90% is our answer since that is the number of people that voted for subjects other than history.

Hope This Helped, Have A Great Day!

What is MCAD
A. 25
B.90
C.100
D.115

Answers

Answer:

115 I think is the answer

The list shows the mileage rating (in mpg) for some 2019 vehicles with all-wheel or 4-wheel drive.

11, 13, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 25, 25, 25, 26, 26, 26, 27, 27, 27, 28, 29, 30, 31, 32, 33, 34

Which interval has the greatest frequency?
10–15
15–20
20–25
25–30

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

20-25

Step-by-step explanation:

Edge :3

Please choose the correct answers !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

its B E F

Step-by-step explanation:

hope this helps

The graph still have the same shade. What is the equation of the blue graph?

Answers

Answer:

G(x) = x²-2

I hope its right

Will mark brainliest and give 18 points

Answers

Answer:

A is the answer.

Step-by-step explanation:

4 ÷ 1/2 = 8.

1. Write the slope-intercept form of the equation that passes through the point (0, 1) and is parallel to the line y = 3x - 5
O y = 3x + 1
O y = 3x - 4
O y = -1/3x - 4
O y = -1/3x + 1

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is Y = 3X - 5. Its slope is 3. A line parallel to this one will also have a slope of 3.

Plug this value (3) into your standard point-slope equation of y = mx + b.

y = 3x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (0, 1). Plug in the x and y values into the x and y of the standard equation.

1 = 3(0) + b

To find b, multiply the slope and the input of x (0)

1 = 0 + b

Now, add 0 to both sides to isolate b.

1 = b

Plug this into your standard equation.

y = 3x + 1

This equation is parallel to your given equation (y = 3x - 5) and contains point (0, 1)

Hope this helps!

Solve for g.


g/4 > 12


A. 3 < g
B. g > 48
C. g > 8
D. 16 < g

Answers

Answer:

d i think

Step-by-step explanation:

What is the family of the equation y = 4 x ^ 2 − 1 ?

Answers

Answer:

Step-by-step explanation:

y = 4x^2 - 1

Is a Polynomial equation of degree 2.

Also called a quadratic equation.

can someone help me with geometry plz!​

Answers

Answer:

dbvgyhhhgryjjkiuhhbbnjiuggvbjkbhhhhgfdgbbjjhffzzcvbbbgggggyuuikkngdssdfffghj kitty RCC hii this unofficial UBI yggggggjkvgfy UBI think Inn

Step-by-step explanation:

Bibi I'll unit 6th in ghhh garchha in fig he gffhhbvcccfcvghhhhbbbbbvcghhbbvghjjnnbvddghjbvcxxxdghb xxghnbvvhhbbbvv

ccggg you he runubhako uuikokhgfddyujjhggjjvgdsghhbc

solve for m
m - 6 = 11

Answers

Step-by-step explanation:

m=11+6=17

hope it helps....

Answer:

m = 17

Step-by-step explanation:

11 + 6 = 17

if m - 6 = 11, then m = 17

Help please anyone explanation

Answers

Answer:

x = 30

Step-by-step explanation:

multiply the fraction by 4 and the 8 by 4 because what you do to one side you have to do to the other. The 4 times the /4 cross out because you can't do math there. Now your left with x+2=32 because 4 times 8 equals 32. But you still have to keep going because we need x all alone. Now you subtract 2 form 2 and 32 from 2. The 2's cancel out and 32 minus 2 equals 30. x = 30

Find the measure of u given that pllq.

Answers

the answer is 32 degrees

Angle u is 32°.

What are the properties of a line?

A line can go on forever. The line continues forever in both directions. There are no endpoints on the lines. The following are the angles of lines: Equal angles are those that are vertically opposed, such as a = d and b = c. As an example, the angles a + b and a + c add up to 180 degrees. Angles that correspond to one other are equal, such as a = e, b = f, c = g, and d = h. A line is a geometric form with only one dimension. There is no thickness to the line; it merely has length. Lines that cross at an angle will do so only once.

Given that angle Y at the q line is 32°. Since line p and line q are parallel. From properties of a line. angle made by the same cross line with two parallel lines will be the same.

Therefore, Angle u will be the same as angle y which is 32°.

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Can someone please help me?

Answers

Answer:

sure ill help you

Step-by-step explanation:

What is the answer? I'll give branliest

Answers

Answer:

a

Step-by-step explanation:

Graph + > -1.
+
3
-5
+
4 5
-4
-3
-2
-1
0
1
2
Switch direction
Make circle open

Answers

You have the right idea but the endpoint is at the wrong location. Instead, the green dot should go at -1. The shading is to the right. We use a closed filled in circle here (instead of an open hole) to tell the reader "include the endpoint". So -1 is part of the solution set.

In short, the graph consists of a closed filled in circle at -1 with shading to the right. This visually describes all values that are larger than -1, or equal to -1.

the actor is 10

your welcome
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