Mathematics College

8/9(54x−36)+2=−34(−40+16x)+90x

Answers

Answer 1

Answer:-2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 78x from both sides.

Step 3: Add 30 to both sides.

Step 4: Divide both sides by -30.

x=−2

Answer 2

The expression as 8/9(54x−36)+2=−34(−40+16x)+90x gives the value of x is -2.

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

Given ;

8/9(54x−36)+2=−34(−40+16x)+90x

First we need to use the distributive property

48x-32+2=30-12x+90

Now then add or subtract like terms,

48x-30=30+78x

Then subtract 48x

-30=30 +30x

Now, then -30

-60=30x

then multiply by 30

We get the value of x

x=−2

Therefore, the expression as 8/9(54x−36)+2=−34(−40+16x)+90x gives the value of x is -2.

Learn more about expression here;

https://brainly.com/question/14083225

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Related Questions

the sum of twice a number and 15 is -42

Answers

assume that the number is n.
sum of twice the number and 15 means that you will first multiply the number by 2 then add 15.
the equation us:
2n + 15 = -42
2n = -42-15
2n = -57
n = -28.5

2(number)+15=-42
2(number)+15-15=-42-15
2(number)=-57
2(number)÷2=-57÷2
number=-28.5

Use your calculator to evaluate e^-2. Round your answer to three decimal places.

Answers

the answer is 0.135 i hope this helps.

jake studied r hours for a big test . julie studied twice as long . write an algebraic expression for how long julie studied

Answers

2r = how long julie has studied

Find the perimeter of square back with vertices A(-4,3), B(2,3) C(2,-3), D(-4,-3)

Answers

check the picture below, you can pretty much count the perimeter off the grid.

when rounded to the nearest hundred the number of pupils in a school is 1800 what are the smallest and largest numbers of pupils there could be in a school

Answers

1749 should be rounded to 1700 because 1749 is closer to 1700 than to 1800

1750 should be rounded to 1800 because it is equally close to 1700 and 1800, and so you apply the rule than when the number to round finish in 5 you round to the next upper number.

Now, if you apply the same 1849 should be tha greater number that when rounded to hundreds becomes 1800.

So, the smalles and largest numbers of pupils there could be in the school are 1849 and 1750, respectively.

If θ is in Quadrant III and sinθ = -3/5, then cosθ = _____.

Answers

Because the angle omega is in QIII, the adjacent side lies to the left of the origin and thus is represented by a negative value. Since sin omega = -3/5, the opposite side is also negative. Use the Pythagorean Theorem to obtain the length of the adjacent side: 5^2 = (-3)^2 + x^2, or 25 = 9 + x^2, or x^2 = 16.

Solving for x: x = plus or minus 4. Since we are in QIII, let x = -4.

Then cos omega is opp / hyp, or -4/5.

Answer:

-4/5

Step-by-step explanation:

plug into equation: sin squared + cos squared = 1 and solve

negative bc cos negative in quad III

What is the number in standard form?

3.23×1012

Answers

In the problem 3.23*1012, the number 3,230,000,000,000 is in standard form. Hope I helped!

A car traveling at a certain speed will travel 76 feet per second. How many miles will the car travel in 3.1 hours if it maintains the same speed? Round to the nearest tenth.

Answers

keeping in mind that, there are 5280 feet in 1 mile, and 60 minutes in an hour and 60 seconds in each minute, thus 60*60 seconds in an hour, or 3600 seconds.

[tex]\bf \cfrac{76~\underline{feet}}{\underline{sec}}\cdot \cfrac{mile}{5280~\underline{feet}}\cdot \cfrac{3600~\underline{sec}}{hr}\implies \cfrac{76\cdot 3600~mile}{5280~hr} \\\\\\ \cfrac{570~mile}{11~hr}\approx 51.\overline{81}\frac{mile}{hr}\\\\ -------------------------------\\\\ \textit{how many miles does it do in 3.1hrs?}\quad \cfrac{570}{11}\cdot 3.1[/tex]

How do you convert 4.2 into a fraction

Answers

4.2 = 4 20/100

4 20/100 = 4 1/5

hope this helps

.

4.2 = 4 20/100

4 20/100 = 4 1/5

Which equation represents a line that passes through (–2, 4) and has a slope of 2/5 ?

Answers

Answer:

Y-4 =2/5(x-(-2)) is answer on edge

Step-by-step explanation:

Use point slope equaction y-y1=m(x-x1)

y1= 4 x1= -2 and m= 2/5 just plug in numbers

Half of the class plays the saxophone and 2⁄5 of the class plays the trumpet. How much of the class plays either the saxophone or the trumpet?

Answers

The common denominator will be ten so it should be
9/10

If a honeybee beats its wings 250 times per second, how many times can it beat its wing in 1 hour?

Answers

Hi there!

Remember that there are 3600 seconds in an hour.

So, 3600 * 250 = x where x equals the total amount of beats.

3600 * 250 = 900,000

A honeybee beats its wings 900,000 times every hour.

If a honeybee beats its wings 250 times per second and there are 60 seconds in a minute and 60 minutes in an hour that meeaannsss:

250 x 60 = 15000

15000 x 60 = 900000

A honeybee beats its wings 900000 in an hour c: (wow)

The weight of outlet boxes is proportional to the volume of boxes involved. if 400 boxes weigh 120 pounds, how much would 500 boxes weigh?

Answers

Answer:

150 lbs

Step-by-step explanation:

set up proportion

400/120 = 500/x

cross multiply
120x500 = 400x

then simplify

60000 = 400x

solve for x

60000/400 = x

x = 150

suppose 255,113 people live in a city is it reasonable to say that about 300,00 live in the city? use the number line to help you solve the problem .

Answers

This is no a reasonable statement. While 255,113 is rounded to the nearest 100,000 (300,000), this does not really provide an accurate estimate because the value is 55,000 off. A more reasonable estimate would be 250,000 or 260,000 people living in the city.

What is the distance around a triangle that has sides measuring 2 1/8 ft 3 1/2 ft and 2 and 1/2 ft

Answers

check the picture below.

so first off, let's convert the mixed fractions to "improper fractions", and then sum them up.

[tex]\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} \\\\\\ \stackrel{mixed}{2\frac{1}{8}}\implies \cfrac{2\cdot 8+1}{8}\implies \stackrel{improper}{\cfrac{17}{8}} \\\\\\ \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}}\\\\ -------------------------------[/tex]

[tex]\bf \cfrac{7}{2}+\cfrac{17}{8}+\cfrac{5}{2}\impliedby \textit{using the LCD of 8}\implies \cfrac{(4\cdot 7)+(1\cdot 17)+(4\cdot 5)}{8} \\\\\\ \cfrac{28+17+20}{8}\implies \cfrac{65}{8}\implies 8\frac{1}{8}[/tex]

You purchased 8 pounds 10 ounces of candy from a candy shop. You want to split it equally among 3 classrooms at a local school.

Answers

8 pounds 10 ounces = 138 ounces
3 classrooms = 138 ounces
1 classroom = 138/3
= 46 ounces
= 2 pounds 14 ounces

Each classroom should receive 2 pounds and 14 ounces of candy.

Answer:

Each classroom will receive 2 pounds and 14 ounces of candy .

Step-by-step explanation:

Given that

Purchased candy= 8 pounds and 10 ounces

First we convert pound into ounces

1 Pound=16 ounces

8 pound = [tex]16\times 8[/tex]

8 pounds= 128 ounces

Now, purchased candy in ounces= 128+10=138 ounces

If we want to distribute purchased candy into three calssroom equally

Therefore, we divide purchased candy by 3

Each classroom receive candy= [tex]\frac{138}{3}[/tex]

Each classroom receive candy=46 ounces

Each classroom receive candy in pounds

16 ounces=1 pound

1 ounces=[tex]\frac{1}{16}[/tex] pounds

46 ounces=2 pounds and 14 ounces

Each classroom receive candy=2 pounds and 14 ounces

Hence, each classroom receive candy =2 pounds and 14 ounces.

Please solve for x
(X+4)/x=45

Answers

Work: x+4/x=45
×x both sides
X+4= 45X
-X both sides
4=45x-x
4=44x
÷44 both sides
X=1/11
Answer: x=1/11
Check your work:
1/11+4/1/11=45
1/11+44/11/(1/11)=45
45/11÷1/11=45
45/11×11/1=45
45=45

Answer is correct

Let's solve your equation step-by-step.
x+4/x = 45

Step 1: Multiply both sides by x.
x + 4 - 45x = 45x - 45x (subtract 45x from both sides)
-44x + 4 = 0
-44x + 4 - 4 = 0 - 4 (subtract from both sides)
-44x = -4
-44x/-44 = -4/-44 (divide both sides by -44)
x = 1/11

Check the answer and make sure it works x = 1/11 (works in original equation).
Final Answer x = 1/11

NOTE!!!

Forward Slash is meant as a fraction divider in this instance

Help, I'm bad at math!

A bouncing ball reaches a height of 27 feet at its first peak, 18 feet at its second peak, and 12 feet at its third peak. Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak.

Answers

a bouncing ball issue reaches its next peak as some fraction or multiple of the previous peak, so, that'd make it a geometric sequence.

so, let's take a peek, 27, 18, 12

now, to get the common factor from a geometric sequence, since it's just a multiplier, if you divide any of the terms by the term before it, the quotient is then the common factor, let's do so with hmm say 12 and 18, 12/18 = 2/3 <---- the common factor, you can check if you so wish with 18/27.

and the first term is of course, 27.

[tex]\bf n^{th}\textit{ term of a geometric sequence}\\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ a_1=27\\ r=\frac{2}{3} \end{cases}\implies a_n=27\left( \frac{2}{3} \right)^{n-1}[/tex]

To determine the height of the bouncing ball at the fourth peak, we recognize a geometric sequence, where each peak's height is two-thirds of the previous peak. Applying this pattern, the height of the fourth peak is found to be 8 feet.

A sequence can be used to determine the height of a bouncing ball when it reaches its fourth peak. You can observe that the heights of the ball at each peak form a sequence, which in this case appears to be decreasing. By analyzing the pattern in the sequence, you can predict the height of the ball at its fourth peak.

A bouncing ball reaches various heights at different peaks which suggests a pattern. To determine the height of the fourth peak, we look at the sequence formed by the heights of the previous peaks. Noticing the pattern, each peak's height is [tex]\frac{2}{3}[/tex] of the previous one.

First peak: 27 feet
Second peak: 18 feet( [tex]27*\frac{2}{3}[/tex])
Third peak: 12 feet ([tex]18*\frac{2}{3}[/tex] )
To find the fourth peak, we continue the pattern:

Fourth peak: 12 feet *[tex]\frac{2}{3}[/tex] = 8 feet

Therefore, the fourth peak would be 8 feet high. By understanding the geometric sequence, we're able to predict future behavior.

Megan sent 12 postcards last week. This week she sent 4 postcards. How many more postcards didn't she sent last week?

Answers

8 postcards she didn't sent last week.

Answer:

She sent 8 more postcards last week.

Step-by-step explanation:

Consider the provided information.

Megan sent 12 postcards last week. This week she sent 4 postcards.

We need to find How many more postcards did she sent last week?

To find this simply subtract the numbers as shown:

12-4 = 8

Hence, she sent 8 more postcards last week.

Kyle drives his truck 429 miles on 33 gallons of gas how many miles can Kyle drive on 1 gallon of gas

Answers

13 miles is the answer; simply divide 429 by 33 :)

429 divided by 33= 13
he can drive 13 miles on 1 gallon

Jenny ball bounced 8 times farther than clarks ball. The two balls bounced a total distance of 36 inches. How far did Jenny's ball bounce?

Answers

Jenny = 8x
Clark's = x

8x + x = 36
9x = 36
9x/9 = 36/9
x = 4

Jenny = 8 x 4 = 32

So Clark's ball went the distant of 4 and Jenny's ball went 32

The correct answer is that Jenny's ball bounced 32 inches.

To solve the problem, let's denote the distance that Clark's ball bounced as [tex]\( d \)[/tex] inches. According to the problem, Jenny's ball bounced 8 times farther than Clark's ball, so the distance Jenny's ball bounced is [tex]\( 8d \)[/tex] inches.

The total distance bounced by both balls is the sum of the distances each ball bounced, which is given as 36 inches. Therefore, we can set up the following equation:

[tex]\[ d + 8d = 36 \][/tex]

Combining like terms, we get:

[tex]\[ 9d = 36 \][/tex]

To find the value of [tex]\( d \)[/tex], we divide both sides of the equation by 9:

[tex]\[ d = \frac{36}{9} \][/tex]

[tex]\[ d = 4 \][/tex]

Now that we have the distance Clark's ball bounced, which is 4 inches, we can find the distance Jenny's ball bounced by multiplying [tex]\( d \)[/tex] by 8:

[tex]\[ 8d = 8 \times 4 \][/tex]

[tex]\[ 8d = 32 \][/tex]

So, Jenny's ball bounced 32 inches.

The sum of a number and 12 is 20. What is the number?

Answers

--Answer--

The number is 8.
We verify:

x + 12 = 20
x = 20 - 12
x = 8

Regards !
I hope it helps you :)

Build an equation from this phrase.

"The sum of a number and 12..." The word sum is the keyword of what operation we are doing. We are doing addition. When we continue the phrase we know we are adding a number (an unknown) and 12.

So, on the left-hand side we have x + 12.

"... is 20" In mathematics, the word 'is' can mean equal. So, the left-hand side will equal the number 20.

Now we have the equation x + 12 = 20.

Solve for x.

x + 12 = 20
x = 8 <-- Subtract each side by 12

So, x is equal to 8.

Solve for y in a=9y+3yx

Answers

hello :
a=9y+3yx
y(9+3x) = a
y = a/(9+3x).......9+3x ≠ 0

Answer:

[tex]y=\frac{a}{(9+3x)}[/tex]

Step-by-step explanation:

we have

[tex]a=9y+3yx[/tex]

Solve for y

That means -----> isolate the variable y

Step 1

Factor the variable y in the right side

[tex]a=y(9+3x)[/tex]

Step 2

Divide by [tex](9+3x)[/tex] both sides

[tex]a/(9+3x)=y(9+3x)/(9+3x)[/tex]

Step 3

Simplify

[tex]y=\frac{a}{(9+3x)}[/tex]

Juanita is making necklaces to give as presents. She plans to put 15 beads on each necklace. Beads are sold in packages of 20. What is the least number of packages she can buy to make necklaces and have no beads left over

Answers

She would have to buy 4 packages because the LCD is 60

It should be 4 packages, with some mental math.

4 * 20 = 80

4 * 15 = 60

Remember we still have 20 beads left over now. Add it to 60 and bam! You're done!

Write a number with the digit 8 in the tens place

Answers

180

9,785,754,990,110,180

80

hope this helps

89 is one of the answers! Hope this helps!

in 2010 there were 98 thousand us troops in iraq. This is 23 thousand more than half the number of us trrops in iraq in 2003 find the number of us trrops in iraq in 2003

Answers

The easiest way of determining the number of U.S troops in Iraq is:

98 thousand troops (2010) - 23 thousand = 75 thousand troops (half)

What's left to do is multiply 75 thousand by 2, and you get the number of U.S troops in Iraq.

75 thousand x 2 = 150 thousand troops.

There were a total of 150 thousand US troops in Iraq in 2003

Suppose that you have 8 cards. 5 are green and 3 are yellow. the 5 green cards are numbered 1, 2, 3, 4, and 5. the 3 yellow cards are numbered 1, 2, and 3. the cards are well shuffled. suppose that you randomly draw two cards, one at a time, and with replacement. â¢ g1 = first card is green â¢ g2 = second card is green enter the probability as a fraction. p(g1 and g2)

Answers

25/64 Since the draws are with replacement, the events are independent. So the probability of drawing a green card is 5/8 since there's 5 green cards out of a total of 8 cards. And since they events are independent, simply multiply the probability of each event together. 5/8 * 5/8 = 25/64

Final answer:

The probability of drawing a green card on both the first and second draw, with replacement, is 25/64, as each draw is an independent event with the same probability of 5/8 for drawing a green card.

Explanation:

The problem is asking us to compute the probability of drawing two green cards in succession, with replacement, from a deck that contains eight cards of which five are green and three are yellow. Since the draws are independent and with replacement, the probability of an event occurring on the first draw is not affected by the second draw, and vice versa.

To calculate the probability of drawing a green card on the first draw, denoted as P(G₁), we look at the number of green cards and the total number of cards. There are 5 green cards out of 8 total cards, so P(G₁) = 5/8.

Because we are replacing the drawn card before the second draw, the probability of drawing a green card on the second draw, denoted as P(G₂), remains the same as for the first draw, thus P(G₂) = 5/8.

The probability of both events happening, denoted as P(G₁ and G₂), is the product of the individual probabilities since the draws are independent. Therefore, we have:

P(G₁ and G₂) = P(G₁) * P(G₂) = (5/8) * (5/8) = 25/64.

Which statement about the equation is true?

x + 2 = x + 4

a)The equation has no solution.

b)The equation has one solution.

c)The equation has infinitely many solutions.

Answers

the equation hasone solution

Yes, the equation has no answer, I took this and there was no solution. hope this helped

An elementary school collected 1,705 bottles for a recycling program.a high school also collected some bottles.both schools collected 3,627 bottles combined. Now many bottles did the high school collected

Answers

Fhjhvvf
Cbccncjbcjbcjg ffcgggg

I think it's 1,922

3,627-1,705= 1,922

Sketch the region bounded by the curves y=9x3,y=9 and x=0 then find the volume of the solid generated by revolving this region about the x-axis.

Answers

The volume of the solid generated is 218.01 cubic units

The curves are given as:

[tex]y = 9x^3[/tex], y = 9

[tex]x = 0[/tex]

Start by calculating x at [tex]y = 9x^3[/tex]

Substitute 9 for y

[tex]9x^3 = 9[/tex]

Divide both sides by 9

[tex]x^3 = 1[/tex]

Take the cube roots of both sides

[tex]x = 1[/tex]

So, the equation of the volume is then represented as:

[tex]V = \pi \int\limits^a_b {9^2 - (9x^3)^2} \, dx[/tex]

[tex]V = \pi\int\limits^a_b {81 - 81x^6} \, dx[/tex]

Where [a,b] = [1,0]

So, we have:

[tex]V = \pi\int\limits^1_0 {81 - 81x^6} \, dx[/tex]

Factor out 81

[tex]V = 81\pi\int\limits^1_0 {1 - x^6} \, dx[/tex]

Integrate

[tex]V = 81\pi [x - \frac 17x^7]|\limits^1_0[/tex]

Expand

[tex]V = 81\pi ([1 - \frac 17(1)^7] - [0 - \frac 17(0)^7] )[/tex]

[tex]V = 81\pi ([1 - \frac 17] )[/tex]

[tex]V = 81\pi * \frac 67[/tex]

So, we have:

[tex]V = 81 * 3.14 * \frac 67[/tex]

[tex]V = 218.01[/tex]

Hence, the volume of the solid generated is 218.01 cubic units