7a +42 +8< -10 + 9a -64a

Answers

Answer 1

Answer:

a < -30/31

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

7a + 42 + 8 < -10 + 9a - 64a

Step 2: Solve for a

Combine like terms (a):                                                                                    7a + 42 + 8 < -10 - 55aCombine like terms:                                                                                         7a + 50 < -10 - 55a[Addition Property of Equality] Add 55a on both sides:                                62a + 50 < -10[Subtraction Property of Equality] Subtract 50 on both sides:                      62a < -60[Division Property of Equality] Divide 62 on both sides:                               a < -30/31

Here we see any number a less than -30/31 would work as a solution to the inequality.


Related Questions

Find the volume of the cylinder. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi radius 5 height 6

Answers

Answer:

150π cu. units

Step-by-step explanation:

V = Bh where B is the area of the circular base and h is the distance between the bases (height)

B = [tex]\pi r^{2}[/tex] = [tex]\pi 5^{2}[/tex] = 25π

V =  25π(6) = 150π cu. units

Answer: V = 471 m^3

In terms of PI - V = 150 π m^3

Step-by-step explanation:

V = πr2h

V = 3.14(5)^2(6)

V = 3.14(25)(6)

V = 471 M^3

or  

V = 3.14 (25)(6)

V = 150 π m^3

1/8 plus 1/4 equals.

Answers

Answer:

3/8

Step-by-step explanation

Please just use a calculator

Answer:

0.375

Step-by-step explanation:

I had to ask this again
Can someone help me please

Answers

Where the graphs of the functions intersect it represents the number of weeks when they have both saved the same amount of money. So by solving the system we can find the number of weeks and that amount of money.

y = x^2 + 2x

y = -3x + 6 so

x^2 + 2x = -3x + 6

x^2 + 5x - 6 = 0

(x + 6)(x - 1) = 0

So x = 1  ( we ignore the negative)

So after 1 week  they have saved the same amount  and the amount is -3 + 6 = 3.

Are you sure that -3x + 6 is right - because Sarah does not save anything after year 1 . The equation has a negative slope!!

Answer:

x=5

Step-by-step explanation:

35+4x=x^2+30

collect the like terms n form a quadratic equation

x^2-4x-5=0

solve the quadratic equation

x=5  or x=-1

ignore the negative answer bcz week cant be negative

So the answer is 5 weeks

The middle school band has a boy to girl ratio of 4:6.
The band had 20 members last year and 25 members this year.
How many girls and how many boys are in the band in each of these two years?

Last year: 8 boys and 12 girls. This year: 10 boys and 15 girls.
Last year: 12 boys and 8 girls. This year 13 boys and 12 girls
O

Last year: 8 boys and 12 girls. This year: 12 boys and 13 girls.

Last year: 12 boys and 8 girls. This year 15 boys and 10 girls

Answers

Answer:

last year 8 boys 12 girls and this year 10 boys 15 girls

Step-by-step explanation:

ratio = 4:6

total ratio = 6 +4 =10

last year

ratio 1 = 20 ÷ 10 = 2

boys = 2 × 4 = 8

girl = 2 × 6 = 12

this year

ratio 1 = 25 ÷ 10 = 2.5

boys = 2.5 × 4= 10

girls = 2.5 × 6 = 15

Find the mean of the following numbers.
14, 17, 21, 28, 40

Answers

the mean should be 24
24

14 + 17 + 21 + 28 +40 / 5
120 / 5
24

Help! I’m stuck please and ty

Answers

Answer:

-7

Step-by-step explanation:

They both are perpendicular lines. Which means that their slopes are opposite reciprocals.

Answer:

I believe that would be -1/7

Step-by-step explanation:

It's essentially going in reverse, you go -1 spot on the graph and up 7.

Find the solution to the following: *
Enter your solution in the following format x = solution. (Ex: x = 5)
8x+10=2(4x+5)
Find the solution to the following: *
Enter your solution in the following format x = solution. (Ex: x = 5)
3x-8=2(x-4)

Answers

Answer:

First one: x = all real numbers

Second one: x = 0

Step-by-step explanation:

for the first one

given 8x+10=2(4x+5) we need to isolate the variable (x) using inverse operations

step 1 distribute the 2 to what is in the parenthesis ( 4x and 5 )

2 * 4x = 8x

5 * 2 = 10

now we have 8x + 10 = 8x + 10

step 2 subtract 8x from each side

8x - 8x = 0

8x - 8x = 0

now we have 10 = 10

subtract 10 from each side

10 - 10 = 0

10 - 10 = 0

we're left with 0 = 0 meaning that all real numbers are solutions

For the second one

given 3x-8=2(x-4) once again we need to isolate the variable using inverse operations

step 1 distribute the 2 to what is in the parenthesis (x - 4)

2 *x = 2x

2 * -4 = -8

now we have 3x - 8 = 2x - 8

step 2 add 8 to each side

-8 + 8 = 0

-8 + 8 = 0

now we have 2x = 3x

step 3 subtract 2x from each side

3x - 2x = x

2x - 2x = 0

we're left with x = 0

Find the area of each figure. Round to the nearest tenth if necessary.

Answers

Answer:

64 cm²

Step-by-step explanation:

(12*4.5)+(2*5)= 54+10=64

No links or trolls please. I need help with this math, it’s due soon. Thanks you. It’s a division sign by the way, it’s hard to see in the photo.

Answers

Answer:

n^2p

Step-by-step explanation:

Thats the answer

GIVING BRAINLIEST!!!!!!!!!!!PLS HELP :((


In which step does a mistake First occur? 8+2+(3X 3-2)

Step1: 8+2+(3x1)
Step2: 8+2+3
Step3: 4+3
Step 4: 7

Answers

Answer:

step 2 he divded the 8 by 2

Step-by-step explanation:

There IS a mistake

8+2 is 10

so 10+3 is equal to 13

If m1 = 31° and m2 = 94°, what is m3?

Answers

Answer:

27

Step-by-step explanation:

bc m1=31 and m2=29 you subtract 31-29and it is 27

what is 3^ 81^5=3^ please

Answers

Answer:

             

Step-by-step explanation:

             

module six review and discussion-based assessment​

Answers

Answer:

okay what's your question?

Step-by-step explanation:

Answer:

whats the question

Step-by-step explanation:

I fly like paper get high like planes

Answers

Answer:

If you catch me at the border I got visas in my name

If you come around here, I make 'em all day

I get one done in a second if you wait

Step-by-step explanation:

Ayudemen porfavor . Determine 4 ala potencia x + 4 ala potencia -x, si se sabe que 2ala potencia x + 2 ala potencia -x =3

Answers

Answer:

Es igual a 7.

Step-by-step explanation:

Ok, sabemos que:

[tex]2^x + 2^{-x} = 3[/tex]

Queremos calcular:

[tex]4^x + 4^{-x}[/tex]

Tambien sabemos que 4 = 2*2

Entonces:

[tex]4^x + 4^{-x} = (2*2)^x + (2*2)^{-x}[/tex]

y sabemos que 2*2 = 2^2

Entonces:

[tex]4^x + 4^{-x} = (2*2)^x + (2*2)^{-x} = (2^2)^x + (2^2)^{-x}[/tex]

y ahora podemos usar la relación:

[tex](a^n)^m = (a^m)^n = a^{m*n}[/tex]

entonces:

[tex](2^2)^x + (2^2)^{-x} = (2^x)^2 + (2^{-x})^2[/tex]

Ahora podemos completar cuadrados sumando y restando el termino:

[tex]2*(2^x)*(2^{-x})[/tex]

Asi tendremos:

[tex](2^x)^2 + (2^{-x})^2 = (2^x)^2 + (2^{-x})^2 + 2*(2^x)*(2^{-x}) - 2*(2^x)*(2^{-x}) = (2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x})[/tex]

Entonces de momento tenemos que:

[tex]4^x + 4^{-x} = (2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x})[/tex]

Sabemos que el termino que esta dentro del parentesis es igual a 3.

Y tambien podemos usar la propiedad:

[tex]a^n*a^m = a^{n + m}[/tex]

en el termino de la derecha.

Asi tendremos:

[tex](2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x}) = (3)^2 - 2*2^{x + (-x)} = 9 - 2 = 7[/tex]

Functions and Graphing complete each table

Answers

Answer:

table 1: -4,0,4,8. table 2: -3,-1,1,3 table 3: 1/3,0,-1/3,-2/6

Step-by-step explanation:

Eric is going to visit his grandmother, who lives about 250 miles away. He travels at
a speed of 55 miles per hour. About how many hours will it take him to get there.
Can someone explain please :)

Answers

Answer:

4.55 hours (rounded to the nearest tenth)

Step-by-step explanation:

If you take 250 and divide it by 55 you get 4.5454 repeating. Round to the nearest tenth and you get 4.55 hours.

Tim buys a car for $7,500 and sells it for a profit of $1,000. How much did he sell it for?

Answers

Well, just add 1,000 to 7,500. You then get the answer, 8,500. To check, 8,500-7,500= 1,000.

Write the equation of each line in slope intercept form

Answers

Y=0.75x + 3
Y=-4x + 4

Step-by-step explanation:

To Find :-

Equation in Slope Intercept Form .

Solution :-

The line passes through (0,2) , therefore ,

> y intercept = 2 .

And slope ,

> m = -0.75

Using slope Intercept Form ,

> y = mx + c

> y = - 0.75 x + 3

Complete the system of linear equations so that there are infinitely many solutions.

Y= -3/5x + 2

blank x+ blank y=20
PLEASE HELPPPPPPP WILL GIVE BRAINLIEST

Answers

Answer:

y-intercept:

(0,2) or just -3/5

Step-by-step explanation:

Answer:

3x + 5y = 2

Step-by-step explanation:

y = -3/5 x + 2

multiply both sides by 5

5y = -3x + 2

add 3x to both sides

3x + 5y = 2

note: if it really has to be equal to 20, then multiply both sides by 10, which will result in 30x + 50y = 20

If it is -31°F in one city and in another city it is
83°, what is the temperature difference
between the two cities?

Answers

Answer:

52 degrees apart

Step-by-step explanation:

52 degrees is the correct answer

a number y times fives is at most one hundred

Answers

Answer:

20

Step-by-step explanation:

twenty times five is one hundred, so, I hope that's the answer you're looking for

Answer:

y <= 20

Step-by-step explanation:

Since it says a number y, our variable is y.

The number is multiplied by 5 which gives us 5y.

It is at most one hundred which means this is an inequality. It is AT MOST which means that 100 is a possible value. This means that our inequality is:

5y <= 100

Now we divide both sides by 5 to isolate y

y <= 20

The area of a room is 425 square feet. The length is (x+9) feet and the width is (x+1) feet. Find the dimensions of the room.​

Answers

Answer:

width is 17

length is 25

Step-by-step explanation:

(x+9)(x+1) =[tex]x^{2}[/tex]  + 10x + 9 = 425

[tex]x^{2}[/tex]  + 10x - 416 = 0

(x-16)(x + 26) = 0

x = 16 or x = -26

x  cannot be -26

x = 16

so, (16 + 1) = 17

      (16 + 9) = 25

Im practicing for a state test im taking- i am a 7th grader doing 9th grade algebra because well yeah im smort- anyways- my teacher and all of us thought the answer was 40% but it wasnt she gave us the answer of 62.5%- she wants us to explain how she got that answer can anyone help me.

Answers

Answer:

62.5%

Step-by-step explanation:

the question is worded weirdly but basically since they're saying "given that a state does not use nuclear power", you can ignore the ones that do use nuclear power.

20 + 12 = 32

and then u have to find the percentage that do use coal (20). to do that all you have to do is divide then move the decimal place backwards 2 times

20 ÷ 32 = 0.625

62.5%

What fraction does point S represent?

Answers

Answer:

C

Step-by-step explanation:

So what you gotta do is count the lines. You don't count the one with one on it, but you count all the way through to 2. That gets you eight, so each line is 1/8. 1-2 in 1/8 intervals. 1 1/4 multiply 2 on the numerator and denominator gets 1 2/8, 1 1/2 multiply 4 on the numerator and denominator gets you 1 4/8. Counting the lines, each of those matches up. The first interval is 1 1/8.

What is 1 + ( -2/3) - ( -9/2)

Answers

Answer

29/6  or 4 5/6

Step-by-step explanation:

1. Find a common denominator

2. Common denominator is 6   Remember - multiply by a - gives you a positive.

3. Rewrite 6/6 -4/6 +27/6

4. Add the numerators together to get 29

5. Answer is 29/6 or as a mixed number 4 5/6

On a game show, a contestant randomly chooses an envelope and wins
the prize that is written inside. There are 3 envelopes containing a car,
5 envelopes containing a vacation, and 2 envelopes containing
electronics.
What is the probability that a contestant picks a vacation?

Answers

Answer:

D or 1/2

Step-by-step explanation:

If there are 3 envelopes for a car, 5 envelopes for vacation, and 2 envelopes for an electronic, then add 3+5+2=10. But, we are figuring out the vacation envelopes, which there are 5 of those and 5 is half of 10. Therefore, your answer is 1/2.

Finit set:
1+2+3+........+25=??

Answers

Answer:

Finite set: A set is said to be a finite set if it is either void set or the process of counting of elements surely comes to an end is called a finite set.

In a finite set the element can be listed if it has a limited i.e. countable by natural number 1, 2, 3, ……… and the process of listing terminates at a certain natural number N.

The number of distinct elements counted in a finite set S is denoted by n(S). The number of elements of a finite set A is called the order or cardinal number of a set A and is symbolically denoted by n(A).

Thus, if the set A be that of the English alphabets, then n(A) = 26: For, it contains 26 elements in it. Again if the set A be the vowels of the English alphabets i.e. A = {a, e, i, o, u} then n(A) = 5.

Step-by-step explanation:

1+2+3+4+5+6..........23+24+25=325

Can someone help me with this. Will Mark brainliest. Need answer and explaination/work. Thank you.

Answers

You need to get graphing paper

Answer:

This quadrilateral is a parallelogram because the slopes of the opposite sides equal eachother.

Step-by-step explanation:

To prove this quadrilateral is a parallelogram you want to show that the opposite sides are parallel by finding the slopes of each. Which means the parallel lines have to have the same slopes if it is a parallelogram.

To find slope we use M= Y1-Y2/X1-X2

Lets start with A and B

M=7-8/2-(-2)

so M= -1/4 for Line AB

Now lets find C and D

M=2-1/1-5

so M=-1/4 for line CD

So this quadrilateral is a parallelogram because the slopes of the opposite sides equal eachother.


What is the radius of these cylinders?

Answers

Answer:

sorryyyyy i really dont know

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