bunch of questios\ns

1. Solve each inequality. Try to solve some using algebra and others using graphing on a number line.
Express each result using interval notation.
(a) x + 5
3
> 2
(b) −2x − 1 ≤ −9
(c) x
2 ≤ 9
2. If a > b > c > d, then which is larger, a + c or b + d? Can we tell from a > b > c > d which of a + d and
b + c is larger? (Problem 9.25 in the textbook, page 283)
If you are stuck, Problems 9.1 and 9.2 in the textbook may help.
3. Back in elementary school, I learned a great magic trick to compare two positive fractions. Here’s
my magic trick in action. Consider the fractions 5
19 and 6
23 . I multiply the numerator of the first and
the denominator of the second, and get 5 · 23 = 115. I multiply the numerator of the second and the
denominator of the first, and get 6 · 19 = 114. Because 115 > 114, I know that 5
19 >
6
23 .
Why does this magic trick work? In other words, if a, b, c, and d are positive, then why does ad > bc
mean that a
b
>
c
d
? (Problem 9.28 in the textbook, page 283)
If you are stuck, Problem 9.3 in the textbook may help.
4. Which number is bigger, −
1227
1229 or −
1229
1231? Do not use a calculator.

Answers

Answer 1

Answer:-4.86

Step-by-step explanation:.


Related Questions

I REALLY NEED HELP FAST PLEASE !!

Answers

Answer:

C: √768

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

the answer is B i think

I need help please help me

Answers

Here’s the correct answer and how I got it :)
Heyy I wanted to help but someone else answered

PLEASE HELP
The morning announcements said that two out of every seven sixth-grade students in the school have an overdue library book. Jasmine said, “That would mean 24 of us have overdue books!” Grace argued, “No way. That is way too high.”

How can you determine who is right?

Answers

Answer:

We need to know how many students are in sixth grade and compare the real number with the 84 sixth graders that Jasmine claims to be.

Step-by-step explanation:

We would need to know how many students are in sixth grade to determine who is right. If two students out of seven have an overdue library book and grace claims that 24 of them are overdue by that means, what we would need to do is divide the allegedly 24 students between 2. Now we have 12 pairs of students that have overdue books. For every pair of students in sixth grade that have overdue books, seven students don’t have overdue books, so now we multiply 12 pairs of students with overdue books times 7 students who don’t have overdue books. By Jasmine calculation then, sixth grade have 84 students.  

If sixth grade have indeed 84 students, Jasmine is right. If there are not 84 students in sixth grade, she is wrong. Grace is right if there are fewer students than 84 in sixth grade.

Jen dug 42 dandelions out of the lawn and was paid 5 cents per plant. The preius satuarday she dug 60 plants and the satuarday before she dug 33 dandelions. On average how many plants did she dig each week.

Answers

Answer:

On average, she digs 45 plants per week

Step-by-step explanation:

Here, we have the number of plants dug in every saturday for three weeks

we now want to get the average of the three weeks

We proceed to add up all what has been dug in the three weeks and divide by 3

Mathematically, that would be;

(42 + 60 + 33)/3 = 135/3 = 45

Help Easy math problems !!!!!

Answers

Answer:

so ill tell you how to get the answer, okay?

Step-by-step explanation:

well, it's a right triangle so you use the formula for a rectangle and cut everything in half and what you have at the end is your answer. hope this helps somewhat. :-)

Answer:

the answer is 4√3

what’s is this ?
a20
b22
c27
d21

Answers

Answer:

it would be c because you add them

Answer:

C

Step-by-step explanation:

straight guess

what is 2x - y = -42

Answers

Answer:

A linear equation

Step-by-step explanation:

It just is

Answer:

Step-by-step explanation:

2x + -1y = -42

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'y' to each side of the equation.

2x + -1y + y = -42 + y

Combine like terms: -1y + y = 0

2x + 0 = -42 + y

2x = -42 + y

Divide each side by '2'.

x = -21 + 0.5y

Simplifying

x = -21 + 0.5y

hope helps you

Plss help me as soon as possible i will give you lots of points

Answers

Answer:

Step-by-step explanation:

75x + -300 = 25x + 200

Reorder the terms:

-300 + 75x = 25x + 200

Reorder the terms:

-300 + 75x = 200 + 25x

Solving

-300 + 75x = 200 + 25x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-25x' to each side of the equation.

-300 + 75x + -25x = 200 + 25x + -25x

Combine like terms: 75x + -25x = 50x

-300 + 50x = 200 + 25x + -25x

Combine like terms: 25x + -25x = 0

-300 + 50x = 200 + 0

-300 + 50x = 200

Add '300' to each side of the equation.

-300 + 300 + 50x = 200 + 300

Combine like terms: -300 + 300 = 0

0 + 50x = 200 + 300

50x = 200 + 300

Combine like terms: 200 + 300 = 500

50x = 500

Divide each side by '50'.

x = 10

Simplifying

x = 10

I don’t understand number 1 idk if I’m right

Answers

Answer:

yeah ur right

Step-by-step explanation:

Answer: 718.38 units³

Step-by-step explanation:

Formula for volume of a cone:

V = πr²•h/3

You have the following information given:

r = 7

h = 14

Plug your values in:

V = π(7)²•(14)/3

V = 718.38 units³

BUT since your instructions say to enter only the number, your answer is just 718.38 with no units after it.

Hope this helps! :)

Larry buys a wallet that costs $20.00. He pays 8% sales
tax.
How much does he pay for the wallet with tax?
O A. $21.60
B. $26.00
O c. $20.80
O D. $28.00

Answers

Answer: The answer is $21.60

Step-by-step explanation:

Answer:

A. $21.60

Step-by-step explanation:

use the fact that 2 1/2 divide 1/8 =20 to find 2 1/2 divide 5/8

Answers

Answer:

4

Step-by-step explanation:

Given that [tex]2\frac 1 2 \div \frac 1 8 =20[/tex]

[tex]\Rightarrow \frac 5 2 \div \frac 1 8 =20[/tex]

[tex]\Rightarrow \frac 5 2 \times 8 1 =20 \cdots(i)[/tex]

Now, [tex]2\frac 1 2 \div \frac 5 8[/tex] [tex]= \frac 5 2 \div \frac 5 8[/tex][tex]=\frac 5 2 \times \frac 8 5[/tex]

This can be written as

[tex]\frac 5 2 \times \frac 8 5=\frac 5 2 \times \left( \frac 8 1 \times \frac 1 5\right)[/tex] [as [tex]\frac 8 5=\frac 8 1 \times \frac 1 5[/tex]]

[tex]=\left(\frac 5 2 \times \frac 8 1 \right)\times \frac 1 5[/tex]

[tex]=20 \times \frac 1 5[/tex] [ by using equation (i)]

=4

Hence, [tex]2\frac 1 2 \div \frac 5 8=4[/tex]

Can you help me with my question??

A pet store just decided to sell fish, so the
manager purchased 50 of the fish tanks shown
above to hold the fish. The staff need to fill
the bottom two inches of each tank with sand,
which comes in bags of 40 pounds. If 1 cubic
inch of sand weighs about 2 ounces, how
many bags of sand does the pet store need to
buy? (There are 16 ounces in 1 pound.)
A) 45
68
B)
C) 84
D) 125

Answers

D
Explanation: two inches so 2x2=4
4x50=200
200 divided by 16=12.5
12.5x10=125

The product of 50 and the number of employees

Answers

The expression of the mathematical statement given as the product of 50 and the number of employees is 50x

How to represent the mathematical statement as an expression?

The mathematical statement is given as

The product of 50 and the number of employees

The product of numbers means multiplication

So, we have

The product of 50 and the number of employees = 50 * the number of employees

Let number of employees be x

So, we have

The product of 50 and the number of employees = 50 * x

Evaluate the product

The product of 50 and the number of employees = 50x

Hence, the expression of the mathematical statement given as the product of 50 and the number of employees is 50x

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Could some one please help me I would really appreciate it a lot !!!

Answers

Answer: x multiplied by 7 is equal to y, so...

106/7= 15

So, for number 1, it's D

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

i need help finding the angles

Answers

It’s probably
45 45 90 triangle

Shelly is making on apple pie, She needs 74 CUP
of sugar for her cian How many cups of sugar will she need
if she makes 7 pies

Answers

Answer:

74x7=518

so she need 518 cup of sugars

What is the solution of 6 = x-2/4?

Answers

Answer: x=13/2

Step-by-step explanation: hope this helps!

What’s the next number in the pattern, and what is the formula to find the next 2 numbers in the pattern?

7, 28, 63, 112..

Answers

Answer: 7, 28, 63, 112, 175, 252, ...

Step-by-step explanation:

7, 28, 63, 112, ...

7*1, 7*4, 7*9, 7*16, ...

7*1², 7*2², 7*3^2, 7*4², ...

Hence, 7n², n=1, 2, 3, 4, ...

7*5²=

7*5*5=

175

7*6²=

7*6*6=

252

Thus,

7, 28, 63, 112, 175, 252, ...

2. Mrs. Morrison asked the class to generate an expression equivalent to 80. Lucy used the prime
factorization of 80 to form an equivalent expression. Which best represents the expression Lucy wrote?

Answers

33+55

you would do 33+55

Solve the system by substitution.
3x + 2y = 15
y = 6x

Answers

Answer:

the answer should be (1,6)

Answer:

1

Step-by-step explanation:

3x +2 (6x) =15

3x +12x =15

15x =15

x = 15/15

x=1

The angles of a quadrilateral are in the ratio 3:4:5:6
What is the difference between the largest and smallest angle?
(show working out)​

Answers

Answer:

[tex]60[/tex]

Step-by-step explanation:

[tex]Let\ the\ constant\ of\ proportionality\ between\ the\ angles\ be\ x\\Hence,\\\angle 1=3x\\\angle 2=4x\\\angle 3=5x\\\angle 4=6x\\Hence,\\We\ know\ through\ the\ Angle\ Sum\ Property\ Of\ A\ Quadrilateral\ that\ \\'The\ Sum\ Of\ All\ The\ Interior\ Angles\ Of\ A\ Quadrilateral\ is\ 360'.\\Hence,\\\angle 1+\angle 2+\angle 3+\angle4=360\\Hence,\\3x+4x+5x+6x=360\\7x+11x=360\\18x=360\\x=360/18\\x=20\\Now,\\From\ the\ observations\ we\ know\ that,\\[/tex]

[tex]\angle4\ with\ a\ measure\ of\ 6x\ is\ the\ largest\ angle.\\While, \angle1\ with\ a\ measure\ of\ 3x\ is\ the\ smallest.\\Hence,\\6x-3x\\=3x\\As\ x=20,\\3x=3*20=60[/tex]


Jordan uses 1/4 of the 31/2 yards of fabric she has to make a top. How many yards did she use?

Answers

The fabric left is 2 1/4 yards which is calculated using subtraction.

Total fabric = 3 1/2 = 7 / 2 yards

Used fabric = 1 / 4 yards

Fabric left will be calculated using subtraction.

So, we get that:

Left fabric = 7 / 2 - 1 / 4

= 14 / 4 - 1 / 4

= 13 / 4

= 2 1/4 yards.

Therefore, we get that, the fabric left is 2 1/4 yards which is calculated using subtraction.

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which of the following lines would be perpendicular to a line who’s equation is
y= -1/2x-5 and passes through the point (-10,7)

Answers

The answer would be y=-2x-13

PLEASE HELP WILL GIVE BRAINLIST

Answers

X=2 have a nice day

Write the expression as a number in scientific notation.

quantity 7 times 10 cubed end quantity times quantity 5.4 times 10 to the fourth power end quantity all divided by quantity 9 times 10 squared
4.2 x 1010
3.4 x 1010
4.2 x 105
3.4 x 105

Answers

The expression as a number in scientific notation is 4.2 * 10^5

How to write the expression as a number in scientific notation?

The expression is given as:

quantity 7 times 10 cubed end quantity times quantity 5.4 times 10 to the fourth power end quantity all divided by quantity 9 times 10 squared

Rewrite properly as:

[7 * 10^3 * 5.4 * 10^4]/[9 * 10^2]

Evaluate the product of 7 and 5.4

So, we have:

[37.8* 10^3 * 10^4]/[9 * 10^2]

Evaluate the product of 10^3 and 10^4

So, we have:

[37.8* 10^7]/[9 * 10^2]

Evaluate the quotient of 37.8 and 9

So, we have:

[4.2 * 10^7]/[10^2]

Evaluate the quotient of 10^7 and 10^2

So, we have:

4.2 * 10^5

Hence, the expression as a number in scientific notation is 4.2 * 10^5

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Find the product.
1 3/5 x -3 3/4

Answers

Hi there!

Your answer is -6.

Hope this helps! Have a great day! :)

Answer:

-6

Step-by-step explanation:

(1 3/5)(-3 3/4) (Multiply)

-6

Avi's pet hamster Chubby loves to run in his hamster wheel. During one "race", Avi counts 100 rotations of the wheel. She wants to know how far Chubby ran, so she measures the diameter of the wheel and finds that it is 20 cm. How far did Chubby run? Round your answer to the nearest cm

Answers

Answer:

Chubby ran a distance of 6,283 m

Step-by-step explanation:

The length of one run is simply equal to the circumference of the circle

Mathematically, C = pi * d

C = 22/7 * 20 = 62.83 cm

So if one rotation is a distance of 62.83 cm, then 100 rotations will be a distance of;

62.83 * 100 = 6,283 m

Write an equation for the nth term of the arithmetic sequence -4, 1, 6, 11, ... then find a50.

An equation is an=__n-__

a50=__

Answers

Answer:

241

Step-by-step explanation:

a(n) = a +(n-1)d

a=-4

d=1+5=6-1=11-6=5

   a(n) = -4+(n-1)5

   a(n) = -9+5n

   a(55) = -9+5(50)

            =241

hope this helps

   

help me please! i dont get this at all

Answers

Answer:

21/28 = 3/4

Step-by-step explanation:

What are two other ways to name Z

Answers

The given set ℤ can be written as {..., -3, -2, -1, 0, 1, 2, 3, ...}.

The given set ℤ can be written as { x | x is an integer, -∞ < x < ∞}.

Disclaimer:

I assume that in the question indicates the set of all integers.

Sets are the basis of mathematics. One can write sets in different ways and form smaller sets of elements from a larger set.

Any set can be written in two forms.

Roster formSet-builder notation

Roster form:

Roster form is one way to write sets. The roster form lists the elements of a set within braces, { }. Let's see a few examples for the roster form.

We write the set containing the elements 5, 6, 7, and 8 as {5, 6, 7, 8}We write the set of multiples of 5 as {5, 10, 15, 20, 25, 30,...}.

So, the given set ℤ can be written as {..., -3, -2, -1, 0, 1, 2, 3, ...}

Set-builder notation:

Set-builder notation is another way to write sets. Set-builder notation describes by enumerating its elements or stating the properties that its elements must satisfy. Let's see a few examples for the set-builder notation.

We write the set containing the elements 5, 6, 7, and 8 as { x | x is a natural number, 4 < x < 9}We can write the set of multiples of 5 as { x | x is a multiple of 5}. This is read as "the set of all real numbers x, such that x is a multiple of 5".

So, the given set ℤ can be written as { x | x is an integer, -∞ < x < ∞}. This is read as "the set of all real numbers x, such that x is an integer".

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