4.
For each equation, find a value for x that makes the equation true. Show your work on the next
page.
a.
x=3 = 12
b.
c.
Ex-3
d.
2x + 3 = 20
4 10
3
- 4x = -24
2(x - 4) = 10
-0.5x + 1.1 = -2.9
e.
f.
Answers
Answer:
a) 36
b) 8.5
c) 5/2
d) 6
e) 9
f) 8
Step-by-step explanation:
a) [tex]x \div 3 =12[/tex]
Multiply both sides by 3
[tex]x \div 3 =12\\3*(x \div 3) = 12*3\\x=36[/tex]
b) [tex]2x+3=20[/tex]
Subtracting 3 from both sides
[tex]2x+3-3=20-3\\2x=20-3\\2x=17\\x=\frac{17}{2}\\x=8.5[/tex]
c) [tex]\frac{4}{3}x=\frac{10}{3}[/tex]
Multiply both sides by 3/4
[tex]\frac{4}{3}x*\frac{3}{4} =\frac{10}{3} *\frac{3}{4}\\x=\frac{5}{2}[/tex]
d) [tex]-4x=-24[/tex]
Divide both sides by -4
[tex]-4x=-24\\\frac{-4x}{-4}=\frac{-24}{-4}\\x=6[/tex]
e) [tex]2(x-4)=10[/tex]
Divide both sides by 2
[tex]2(x-4)=10\\\frac{2(x-4)}{2}=\frac{10}{2}\\x-4=5\\Adding \ 4 \ on \ both \ sides\\x-4+4=5+4\\x=9[/tex]
f) [tex]-0.5x+1.1=-2.9[/tex]
Subtracting 1.1 on both sides
[tex]-0.5x+1.1-1.1=-2.9-1.1\\-0.5x=-4\\Divide \ both \ sides \ by \ -0.5\\\frac{-0.5x}{-0.5}=\frac{-4}{-0.5}\\x=8[/tex]
Related Questions
He width of a rectangular postcard is 4 inches and the diagonal is 7.6 inches long. What is the length of the postcard? Round your answer to the nearest hundredth.
Answers
Answer:
Adjacent = x = length = 6.46 inches
Step-by-step explanation:
Given the width and diagonal of a rectangular postcard,
Find the length using Pythagoras theorem
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse = 7.6 inches
Opposite = 4 inches
Adjacent = x
Hypotenuse ² = opposite ² + adjacent ²
7.6² = 4² + x²
57.76 = 16 + x²
subtract 16 from both sides
57.76 - 16 = x²
41.76 = x²
Find the square root of both sides
x = √ 41.76
= 6.46
x = 6.46 inches
Adjacent = x = length = 6.46 inches
Destiny paid $9.60 for a dozen donuts. What is the unit cost for each donut?
Answers
Answer:
$0.8
Step-by-step explanation:
dozen=12
$3.60=12 donuts
$3.60/12= 0.8
$0.8
A line passes through the points (-5, 2) and (10,-1). Which is the equation of the line?
o y=-3x+1
O y-zx=3
O y = -5x – 23
O y = 5x + 27
HURRY
Answers
Type the correct answer in the box. Round your answer to the nearest hundredth.
A class consists of 55% boys and 45% girls. It is observed that 25% of the class are boys and scored an A on the test, and 35% of the class are girls and scored an A on the test. If a student is chosen at random and is found to be a girl, the probability that the student scored an A is
Answers
if you add 55% and 45% the total is 100% so 45/100 are girls. 35% of the girls scored and A so 35/45 is the probability that it is a girl chosen or 7/9. the probability is 7 out of 9.
Percentage rate of increase or decrease y = 3500(1.079)
Answers
Answer:
Increase
Step-by-step explanation:
If you multiply the numbers it increases!
Gray started the week with $150 in his checking account. The chart shows the credits and charges to his account during the week.
Credit Charge
$20 $52
$23 $16
$14 $28
How much money did Gray have in his account at the end of the week?
O $3
O $111
$189
$303
Answers
Answer:
111
Step-by-step explanation:
150 + 20 = 170
170 - 52 = 118
118 + 23 = 141
141 - 16 = 125
125 + 14 = 139
139 - 28 = 111
What are the domain and range of the function below?
Answers
Answer:
Domain: all real numbers
Range: all real numbers greater than or equal to -2
Step-by-step explanation:
The domain is the set of x-coordinates.
It is the set of real numbers since x can be any real number.
The range is the set of y-coordinates.
The minimum value for y is -2. y can be -2 or any real number greater than -2.
Answer:
Domain: all real numbers
Range: all real numbers greater than or equal to -2
Answer:
C on Edge
Step-by-step explanation:
Para la reforestación de un terreno por parcela se compraron 150 arboles de cedro y 210 arboles de guayacán para sembrarlos de tal forma que en cada parcela quede la misma cantidad de arboles de cada tipo ¿Cuál es el mayor numero de parcelas? ¿Cuántos arboles de cedro y cuantos arboles de guayaca se sembrar en cada parcela?
Answers
Answer:
a) 30 parcelas
b) Para árboles de cedro: 5 por parcela
Para árboles de Guayacán: 7 por parcela
Step-by-step explanation:
a) ¿Cuál es el mayor número de parcelas?
De la pregunta tenemos:
150 árboles de cedro y 210 árboles de guayacán
Para encontrar la mayor cantidad de parcelas, resolvemos usando los métodos del mayor factor común.
Encontramos los factores de 150 y 210
Los factores de 150 son: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Los factores de 210 son: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Entonces el máximo común divisor es 30.
Por lo tanto, la mayor cantidad de parcelas que podemos tener es de 30 parcelas.
b) ¿Cuántos árboles de cedro y de guayacán plantar en cada parcela?
Para cedros
Tenemos 150 árboles de cedro
Por lo tanto, la cantidad de árboles de cedro por parcela = 150 ÷ 30 = 5 árboles de cedro por lote
Para los árboles de Guayacán
Tenemos 210 árboles de Guayacán
Por lo tanto, el número de árboles de Guayacán por parcela = 210 ÷ 30 = 7 árboles de Guayacán por lote
The cost of 5 pounds of boudin is $26.What is the constant of proportionality that relates the cost in dollars,y, to the number of pounds of boudin,x?
Answers
Given :
The cost of 5 pounds of boudin is $26.
To Find :
The constant of proportionality that relates the cost in dollars y, to the number of pounds of boudin x .
Solution :
Price per boudin in terms of x and y is :
[tex]P=\dfrac{y}{x}[/tex]
Price per boudin by given data :
[tex]P=\dfrac{26}{5}[/tex]
So,
[tex]\dfrac{y}{x}=\dfrac{26}{5}\\\\y = \dfrac{26}{5}x[/tex]
Therefore, the constant of proportionality is [tex]\dfrac{26}{5}[/tex].
Hence, this is the required solution.
what expression is equal to(5+x-2)×2
Answers
The Jefferson band is selling baked goods to raise money for their trip. Their goa; is to profit at least $500. Each baked good sells for 2 dollars but costs $0.50 to make. How many baked goods will they have to sell to reach the goal?
Answers
Answer:
Break-even point in units= 334
Step-by-step explanation:
Giving the following information:
Desired profit= $500
Selling price= $2
Unitary variable cost= $0.5
To calculate the number of units to be sold, we need to use the following formula:
Break-even point in units= (fixed costs + desired profit) / contribution margin per unit
Break-even point in units= (0 + 500) / (2 - 0.5)
Break-even point in units= 334
When x=1, find the value of y
1) -3
2) -1
3)1
4)-4
Answers
Answer:
y = -3
Step-by-step explanation:
The equation of the line is y = -x -2
We plug in the given x value into the equation to find y.
y = -(1) - 2
Simplify.
y = -3
If Jack wants to retire with $1,000 per month, how much principal is necessary to generate this amount of monthly income if the interest rate is 6% compounded monthly?
Answers
Answer:
He needs to learn the disciplinary principal
Step-by-step explanation:
The principal is necessary to generate this amount of monthly income is $497.
Given that, Jack wants to retire with $1,000 per month.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = [tex]Amount=Principal(1+\frac{R}{100})^{nt}[/tex]
⇒ 1000 =P[tex](1+0.06)^{12}[/tex]
⇒ 1000=P×2.012
⇒ P=1000/2.012
⇒ P=$497
Hence, the principal is necessary to generate this amount of monthly income is $497.
To learn more about the compound interest visit:
https://brainly.com/question/14295570.
#SPJ2
What is the result of F (X) = - 3 × -3
Answers
Hello There this is your answer
and hope you a GREAT Thanksgiving :)
F ( X ) = 9
6. Camille is a first year accountant and a recent college graduate. She is paid a salary
of $40,000 per year, is expected to work 40 hours a week and is nonexempt because
this is her first year as a staff accountant. During tax season, thirteen weeks from
January 15 through April 15, she works 56 hours a week.
a. Does she receive overtime? Explain.
b. How much is her normal rate per hour?
c. What is her overtime rate per hour?
d. How much extra does Anne earn during tax busy season? (Jan to April)
Answers
jk ima awnser in one sec
V5. Suppose you invest $5,000 at 9% interest, compounded annually, for 10 years. Determine the future value of your investment, using the compound interest formula.
Answers
Answer: $11836.8
Step-by-step explanation:
Given. That :
Amount invested = $5000
Interest rate = 9% = 0.09
Period = 10 years, compounded annually
Using the compound interest formula :
A = p(1 + r/n)^nt
A = final amount
P = principal or invested amount
r = rate of interest
n = number of times interest Is applied per period
t = period
A = 5000(1 + 0.09/1)^(1*10)
A = 5000(1.09)^10
A = 5000 * 2.36736367459211723401
A = 11836.81837296058617005
= $11836.8
BRAINIEST TO CORRECT ANSWER
(2x^2 +7x)+ (−x^2+10x+3)
Answers
Answer: x2+17x+3
Step-by-step explanation:
2x2+7x−x2+10x+3
=2x2+7x+−x2+10x+3
Combine Like Terms:
=2x2+7x+−x2+10x+3
=(2x2+−x2)+(7x+10x)+(3)
=x2+17x+3
y+4= 2/3 (x+3) written in standard form
Answers
Write and solve an inequality to represent the situation below.
When Chelsea babysits, she charges $5 for each hour, x, she works plus $2 for bus fare. Chelsea want to earn at least $33 for her next babysitting job. How many hours must she work?
Answers
Every time Chelsea babysits she earns 2 + 5x
We want at that to amount to at least 33. *_> is great than or equal to*
33 _> 2+5x
Subtract 2 from both sides
31_>5x
Divide by 5 from both sides
6.2_>x
So Chelsea must work for at least 6.2 hours. She could work more but at least 6.2
CAN ANYONE DO IT, IT IS EASY
Answers
Answer: 31
Step-by-step explanation:
180-20-35 = 125 (bottom triangle)
180 - 156 = 24
125 + 24 = 149
180-149 = your answer
Michael averages 5 three-pointers in his first 4 basketball games. How many does he need to score at his 5th game in order to bring his average to 6 three-pointers per game?
Answers
Answer:
10
Step-by-step explanation:
The easiest way to understand this is not the shortest way.
Give Michael 4 fives and then add an x.
5 + 5 + 5 + 5 + x
Now divide by 5 and equate that to 6
(5 + 5 + 5 + 5 + x)/5 = 6
Combine the left side
(20 + x)/5 = 6
Multiply by 5
(20 + x) = 6*5
20 + x = 30
Subtract 20 from both sides
x = 30 - 20
x = 10
He needs 10 three - pointers to average 6
I’m confused can someone help me please !
Answers
Step-by-step explanation:
= x + x -2+ 1 -2x
=2x-3- 2x
=3 ans
hope it help you.
Answer:
2+1=3-2x= -5+x+x =5x square
Calcula la relación entre los volúmenes de estos dos cilindros, si el radio de uno de ellos es el doble que del otro
Answers
Answer:
calfdmf mjd fmjs wsmc wsjmc jesd jms
Step-by-step explanation:
Shelly's Boutique had a Labor Day sale featuring 25% off any item. Tammy wanted to buy a blouse that originally sold for $21.99. To the nearest cent,
how much will it cost her before tax to buy the blouse during the sale?
Answers
Answer:
it will cost $19.12
Step-by-step explanation:
Answer: $19.12
Step-by-step explanation:
Decide whether Equation A or B would be used to solve the problem.
You had $1.65. After a friend returned the money you had loaned her, you
had $3.50. How much did she give you?
a. n + 1.65 = 3.50
b. n - 1.65 = 3.50
Answers
Answer:
The correct answer is B because you had less when the friend did not give you the money. Therefore before you had 3.50-1.65
Step-by-step explanation:
Use the inverse variation equation to fill in the table.
Answers
Answer: a= 0.1 b=20.775 c=0.02
Step-by-step explanation:
just got it right on edg
If A= (0,0) and B= (2,5), what is the approximate length of AB?
Answers
Answer:
have a good night!
Step-by-step explanation:
[tex]AB = \sqrt{ {x}^{2} + y {}^{2} } [/tex]
[tex]AB = \sqrt{ {2}^{2} + {5}^{2} } [/tex]
[tex]AB = \sqrt{4 + 25} [/tex]
[tex]AB = \sqrt{29} [/tex]
Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make a 12% detergent solution. Which
equation can she use to find g, the number of gallons of water she should add?
Answers
Answer: 1.98/11+g = 12/100
Answer:
D [tex]\frac{1.98}{11+g} =\frac{12}{100}[/tex]
Step-by-step explanation:
edge
Solve: -6y+2(y-6)=12
Answers
answer: = -6 mark me brainly
Answer:
Step-by-step explanation:
distribute
=
−
6
solve 4/r = 5/20 will mark brainliest
Answers
Answer:
= 16
Step-by-step explanation:
Simplify \frac{5}{20}
20
5
to \frac{1}{4}
4
1
.
\frac{4}{r}=\frac{1}{4}
r
4
=
4
1
2 Multiply both sides by rr.
4=\frac{1}{4}r4=
4
1
r
3 Simplify \frac{1}{4}r
4
1
r to \frac{r}{4}
4
r
.
4=\frac{r}{4}4=
4
r
4 Multiply both sides by 44.
4\times 4=r4×4=r
5 Simplify 4\times 44×4 to 1616.
16=r16=r
6 Switch sides.
r=16r=16