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

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!

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 ^^

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

Write an equation for the graph

Answers

y=1/2x

Also why is the picture upside down

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:

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

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

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.

Which of the following functions are linear?​

Answers

Answer:

Function B

Step-by-step explanation:

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

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:

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!!!

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:

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 :))))

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

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

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.

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

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]

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!                      

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

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

please help me​

Answers

(9/11)÷(5/6)

= 9/11×6/5

= 54/55

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

Answers

Answer A hope this helps

Order these numbers from least to greatest​

Answers

Answer:

- 81, 8.54, 8 13/29, 8.6

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!

please help me thank u

Answers

the answer is: 7,000 milligrams
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