Extend to find solutions that fit a second constraint in the formx *a, where inequality symbol and a is an integer. For example solve 3x + 4 >10, then find integers that satisfy bothx < 6 and 3x +4 >10.

Answers

Answer 1

Answer:

[tex]x = \{3,4,5\}[/tex]

Step-by-step explanation:

Given

[tex]3x + 4 > 10[/tex]

[tex]x < 6[/tex]

Required

Solve

We have:

[tex]3x + 4 > 10[/tex]

Collect like terms

[tex]3x > 10 - 4[/tex]

[tex]3x > 6[/tex]

Divide by 3

[tex]x > 2[/tex]

So, we have:

[tex]x > 2[/tex] and [tex]x < 6[/tex] i.e. between 2 and 6 (exclusive)

This implies that:

[tex]x = \{3,4,5\}[/tex]


Related Questions

25 pts, please help ASAP

A = 84 + 2t.

Assuming A has the same value, the given equations form a system of two linear equations. Solve this system using an algebraic approach and interpret your answer.

Answers

Answer:

5t - 2t = 84 - 54

3t = 30

t = 30/3

t = 10.

An object in the current of the Gulf Stream can move 11 miles in 2 hours. At this rate, about how many miles could the object in the Gulf Stream move in 5 hours?​

Answers

Answer:

"27 and 1/2"

Step-by-step explanation:i got a 100% so im 100% sure this is right

Order these numbers from least to greatest​

Answers

Answer:

- 81, 8.54, 8 13/29, 8.6

Step-by-step explanation:

Write an equation for the graph

Answers

y=1/2x

Also why is the picture upside down

Find the area of the figure.

Answers

Answer:

       A = 132 cm²

Step-by-step explanation:

Area of the figure is a sum of area of rectangle 4 cm × 7 cm and trapezoid with bases of 19 cm i 7 cm and altitude of 8 cm.

Therefore:

[tex]A=7\cdot4+\dfrac{7+19}2\cdot8=28+26\cdot4=132[/tex]

Divide. Round to the nearest tenth.
.16 ÷ .03220

Answers

Answer: Rounded to the nearest tenth is 5

4.96894409 is the exact answer

help me please
i've ask this 3 times and didn't get a correct answer

Answers

Answer:

240

Step-by-step explanation:

So to do this problem, you have to find the area of each 2d figure. To start off,  you need to find the top sides. (to make this easier I won't show the work)

Green-  Top & bottom: 16. Sides (4): 28

Pink-  Top & bottom: 8. Sides (4): 20

Now you add it all up.

32+112+16+80=240

Answer:

224 in^2

Step-by-step explanation:

The pink rectangular prism has the dimensions 2 x 4 x 10 and the green has the dimensions 4 x 4 x 7. The formula for the surface area of a rectangular prism is:

2(lw + wh + lh)

We can substitute to find the surface area of both pink and green:

Pink

2(4 x 4 + 4 x 7 + 7 x 4)

2(16 + 28 + 28)

2(72)

144

Green

2(2 x 4 + 4 x 10 + 2 x 10)

2(8 + 40 + 20)

2(68)

136

The sum is 280. We have over-counted the part where the two prisms are next to each other. The area of the counted rectangle is 4 x 7 or 28. We over-counted twice, so we need to subtract 2 x 28 or 56.

280 - 56 = 224 in^2

Find the area of the compound figure. Round your answer to 2 decimal places if required. (Use π = 3.14)

Hello! I’ve been stuck on this problem for a while and—though I know the answer—I’m not sure how to get to it? Please help!

Answers

Answer:

first you will need to break the shape into a semi circle and a triangle.

then solve the area of the semi circle. which is

[tex] \frac{(3.14) \times r ^{2} }{2} \\ [/tex]

[tex] \frac{(3.14) \times 4.6^{2} }{2} \\ = 33.22[/tex]

Then solve the area of the triangle.

First work out the height of the triangle, which is

[tex]13.4 - 4.6 = 8.8[/tex]

then the area. which is

[tex] \frac{1}{2} 4.6 \times 8.8 \\ = 20.24[/tex]

now calc. the two figures. which is

[tex]20.24 + 33.22 \\ = 53.46[/tex]

Which expression is equivalent to 3(6f)


no links

Answers

Answer:

18f

Step-by-step explanation:

just multiply 3 time 6 and keep the variable

Answer:

18f

Step-by-step explanation:

Hopes this helps. Mark as brainlest plz!3(6f)3*6 = 18Dont forget the variable18f ^^

Please help asap first correct answer will get the brainly crown

25x-22.5=12x+22.5+2x

Answers

25x-22.5=14x+22.5
11x=45
x=45/11 or ~4.09

An athlete eats 65 g of protein per day while training. How much protein will she eat during 15 days of training?

Answers

I think it’s 975 I’m sorry if I’m wrong but I just multiplied 65 with 15 days since she eats 65 during 15 days

9/11÷5/6 divide the following . simply your answer

please help me​

Answers

(9/11)÷(5/6)

= 9/11×6/5

= 54/55

Matching the Transformed Function to its Graph

Use your knowledge of transformations to find the matching graph. f(x) = 2 sqrt x + 1

Answers

Answer: D

Step-by-step explanation:

Answer:

D

B

A

C

Step-by-step explanation:

Find the equation of a line that passes through the points (1,-5) and (3,-6).
Leave your answer in the form y=mx+c

Answers

y = mx + b
y = - 1/2x - 9/2

A car travelled at 50 km/hr for 3 hours How far did the car travel?

Answers

Answer:

25km

Step-by-step explanation:

50 km = x km

1 hr        3 hrs

From there, you cross-multiply and solve for x.

(50 km)*(3 hrs) = (x km)*(1 hr)

x km = (50)*(3)/(1) = 150km

Now, your other question can be answered the exact same way. 30 minutes is the same as 1/2 of an hour, so just put 0.5hrs in where the 3hrs was in the previous problem. So to show you how it works once more, here are your calculations:

50 km = x km

1 hr        0.5 hrs

(50 km)*(0.5 hrs) = (x km)*(1 hr)

x km = (50)*(0.5)/(1) = 25km

I hope that helps!

A six sided die is rolled. What is the probability that the number rolled is not a 2 or a4?

Answers

4/6=2/3 answer: 2/3 (if you want it simplified)

I NEED IT FAST
Explain what you would do first to simplify the
expression below. Justify why, and then state the
result of performing this step.
(121²
312
4+²

Answers

Answer:

r little 4  t little 2 ------------------------            4sorry it didn't let me right it correctly

Step-by-step explanation:

please help me thank u

Answers

the answer is: 7,000 milligrams

I NEED HELP ASAP

Acellus
Find the value of x. Round to the
nearest tenth.
X
372
6
x = [ ?

Answers

x = 4,5
good luck :))))

a. 292.6
b. 235.7
c. 471.4
d. 625.8

pls help

Answers

Answer:

d. 625.8

Step-by-step explanation:

LxWxH

L=6 you

W=7 you

H=14.9 yd

(6×7)×14.9

42x14.9

625.8

Yuppp there right all the luck to you!!!

14
4(x + 6)
+
2(3x – 5) =
A) 4x + 14
B) 10x + 34
C) 10x + 14
D) 10x – 24
E) NOTA

Answers

Answer:

D) 10x - 24

Step-by-step explanation:

Bc I know maths a lot

Pablo bought chocolate bars that were divied into 8 equal pieces. If Pablo has eaten 20 pieces of chocolate, what is the fractionof chocolate bars he has eaten?

Answers

Answer:

Pablo has eaten 2 1/2 chocolate bars.

Step-by-step explanation:

We know that:

- Each bar was divided into 8 equal pieces

- Pablo ate 20 pieces

So, we can find the chocolate bars that he has eaten as follows:

[tex] f = \frac{1 \: bar}{8 \: pieces}*20 \: pieces = 2.5 \: bars = 2\frac{1}{2} \: bars [/tex]    

Hence, Pablo has eaten two and a half of chocolate bars expressed as 2 1/2 as a mixed fraction.

I hope it helps you!                      

Tanya distributes pencils to students in her class for an upcoming test. The number of pencils she hands out is given by the equation p = 3s, where p is the number of pencils and s is the number of students. If there are 16 students in Tanya's class, how many pencils did she distribute?

Answers

HI HI HI HI HI HI HI IBI U 0odfbugfehhwsuydefbuy4bryfbusznxiebyfbeusbxyedyhnwsahzgedb cbd fcegv gjr

Which of the following functions are linear?​

Answers

Answer:

Function B

Step-by-step explanation:

Will mark brainliest please help ASAP Complete the square to find the vertex of this parabola x^2-14x+4y+29=0

Answers

Answer:

(7,5)

Step-by-step explanation:

During summer vacation, Tori read, on average, 40 pages per night. Now that she has returned to school, she is averaging 5% fewer. How many pages per night is Tori averaging now?

Answers

Answer: 38 pages per night

Step-by-step explanation:

Tori used to read an average of 40 pages per night but now she is going at a rate that is 5% slower.

To find the number of pages she is reading now, first find 5% of 40 pages:

= 5% * 40

= 2

Then subtract this figure from 40:

= 40 - 2

= 38 pages per night

By deducting 5% from the reading quantity, the person is reading at 5% less.

Ninety campers were assigned to 4 campsites as equally as possible. How many campers were assigned to each of the 4 campsites

Answers

Answer:

90/4=22.5

there are going to be 25 people on 3 of the campsites and 26 on the last one.

Given b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C. What is the area of the triangle? Round to the nearest hundredth.

Answers

Answer:

1.73 units

Step-by-step explanation:

The area of a triangle with sides a, b, c and angles A, B, C is given as

Area = 1/2 bc sin A

Given that b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C then the area

= 1/2 * 4 * 1 * sin 120

= 2 sin 120

= 2 * √3/2

= √3

= 1.732

To the nearest hundredth = 1.73

FIRST BRAINLIEST WORTH 15 POINTS What is the area of the figure below?

Answers

Answer A hope this helps

Find the length of the segment indicated. Round your answer to
the nearest tenth if necessary.
A) 7
B) 8
C) 4.2
D) 7.1

Answers

Answer:

The answer is  B

Step-by-step explanation:

Look I would write step by step but i rally got to go!

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Fraser, a student at Bethel High School in Pierce County, Washington, delivered a speech nominating a fellow student for student elective office. Approximately 600 high school students, many of whom were 14-year-olds, attended the assembly. Students were required to attend the assembly or to report to the study hall. The assembly was part of a school-sponsored educational program in self-government. Students who elected not to attend the assembly were required to report to study hall. During the entire speech, Fraser referred to his candidate in terms of an elaborate, graphic, and explicit sexual metaphor.Two of Fraser's teachers, with whom he discussed the contents of his speech in advance, informed him that the speech was "inappropriate and that he probably should not deliver it," and that his delivery of the speech might have "severe consequences."During Fraser's delivery of the speech, a school counselor observed the reaction of students to the speech. 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