Answer:
x = 8
Step-by-step explanation:
Given equation:
[tex]\dfrac{-2}{3} (x+12)+\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]
Start out by simplifying the distributive property on the left hand side.
[tex]\implies \dfrac{-2x}{3} + \dfrac{(-24)}{3} +\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]
Combine like terms on the left hand side.
[tex]\implies x\huge\text{(}\dfrac{-2}{3} + \dfrac{2}{3}\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]
Simplify the left hand side.
[tex]\implies x\huge\text{(}0\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]
[tex]\implies x\huge\text{(}0\huge\text{)} - 8 =\dfrac{-5x}{4} +2[/tex]
[tex]\implies0- 8 =\dfrac{-5x}{4} +2[/tex]
[tex]\implies-8 =\dfrac{-5x}{4} +2[/tex]
Subtract 2 both sides.
[tex]\implies-8 -2 =\dfrac{-5x}{4} +2 - 2[/tex]
[tex]\implies-10 =\dfrac{-5x}{4}[/tex]
Use cross multiplication.
[tex]\implies-10 \times 4 =-5x[/tex]
[tex]\implies-40 =-5x[/tex]
Divide -5 both sides.
[tex]\implies \dfrac{-40}{-5} =\dfrac{-5x}{-5}[/tex]
[tex]\implies 8=x[/tex]
Thus, the value of x is 8.
Answer:
x = 8
Step-by-step explanation:
Given equation:
[tex]-\dfrac23(x+12)+\dfrac23x=-\dfrac54x+2[/tex]
Multiply both sides by 3:
[tex]\implies -2(x+12)+2x=-\dfrac{15}{4}x+6[/tex]
Multiply both sides by 4:
[tex]\implies -8(x+12)+8x=-15x+24[/tex]
Expand brackets:
[tex]\implies -8x-96+8x=-15x+24[/tex]
Combine like terms:
[tex]\implies -96=-15x+24[/tex]
Add 15x to both sides:
[tex]\implies 15x-96=24[/tex]
Add 96 to both sides:
[tex]\implies 15x=120[/tex]
Divide both sides by 15:
[tex]\implies x=8[/tex]
At his schools book fair, Henry brings $10.00. He purchases a book for $8.50, plus a 6% sales tax. How much money in change will Henry receive?
Answer:
$0.99 in change
Explanation:
To apply the sales tax, you have to multiply:
8.50*1.06=9.01
This means that, with tax, the book will cost $9.01. If he gave them $10, he would get 99 cents back because 10-9.01 is 0.99.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
COUNT HOW MANY THERE ARE
Step-by-step explanation:
Consider the following Polynomial -2a^3b^z+5ab^5+7b^4+8
a. Find the degree of the polynomial
1.5
2.6
3.15
b. Find the leading coefficient of the polynomial
1.-2
2.5
3.7
4.8
c. Find the constant term of the polynomial
1.-2
2.5
3.7
4.8
d. Find the leading term of the polynomial
1.-2a^3 b^2
2.5ab^5
3.7b^4
4.8
#a
Degree is the highest power
here it's 5#b
Leading coefficient is 7
#c
Constant term is 8 (which doesn't contain variables)
#d
Leading term is term with highest power
5ab⁵Scientists are looking for a drone that crashed into a forest. They decide to use a map and conduct a
circular search to find the missing drone according to the equation y? + y2 - 12x - 4y + 24 = 0 in miles.
Which of the following statements are correct? Select all that apply.
A. The search radius is less than 5 miles.
B. The search radius more than 10 miles.
C. The search is centered on the map at point (12, -4).
D. The search is centered on the map at point (-2, -6).
E. The search is centered on the map at point (6, 2).
A soda company made 1,040,000 bottles of soda. The manufacturer tested 200 bottles and found that 32 have cracks. About how many of the bottles that were manufactured are likely to have cracks?
WHich answer is correct
A. 32
B. 163
C. 166,368
D. 166,400
I don't know if this is correct but this is what I thought of:
Answer:
D 166,400
Step-by-step explanation:
200÷32 = 6.25
1040000 ÷ 6.25 = 166,400
Help, please! It's all in the screenshot
A:
5=2+3
-> right triangle
B:
5=4+3
-> not a right triangle
C.
36= 25+16
36= 41
-> not a right triangle
D.
49= 25+25
49=50
-> not a right triangle
E.
100= 36+ 64
100= 100
-> right triangle
The value of y varies directly with x. When y=55, x=1/4. Determine the constant of proportionality
Answer:
k = 220
Step-by-step explanation:
Proportion of y and x
y = kxGiven :
y = 55x = 1/4Solving :
55 = k/4k = 55 x 4k = 220
A submarine is at the surface of the ocean, preparing to dive. It submerges and dives to - 993 feet. Then, it ascends 308 feet to
void hitting an undersea cliff. What integer represents the submarine's position in feet (depth) after it ascends to avoid the cliff?
Answer:
-685
Step-by-step explanation:
hope I helped
A committee of four people needs to be chosen. There are three men and five women available to serve on the committee. If the committee members are randomly chosen, what is the probability that two of the four people chosen on the committee are women? a) 0.518 b) 0.429 c)0.215 d) 0.322
Answer:
D
Step-by-step explanation:
HELP MEE!!! PLEASE
Cheryl is filling bags for a party. She puts 2 key chains in each of the 5 bags. Then, she puts 7 treats in each of the 5 bags. write an expression with two factors that show how many items cheryl put in the bags.
Answer: 45 items
Step-by-step explanation:
2 key chains in 5 bags so 2+2+2+2+2=10
Then it says 7 treats in each 5 bags so
7+7+7+7+7=35
So 10+35=45 so she had 45 items
And put 9 items in each bag
Full explanation please.
Answer as soon as possible
Answer:
(- 5, 9)Step-by-step explanation:
Given system of equations
- 2x - y = 1- 4x - y = 11Express the first equation as
y = - 2x - 1Substitute the value of y into second equation
- 4x - (- 2x - 1) = 11Solve for x
- 4x + 2x + 1 = 11- 2x + 1 = 11- 2x = 102x = - 10x = - 5Find the value of y
y = - 2(- 5) - 1 = 10 - 1 = 9Answer:
(-5, 9)
Step-by-step explanation:
Given system of linear equations:
[tex]\begin{cases}-2x-y=1\\-4x-y=11\end{cases}[/tex]
To solve by substitution, use arithmetic operations to isolate y in Equation 1:
[tex]\implies -2x-y=1[/tex]
[tex]\implies -2x-y+y=1+y[/tex]
[tex]\implies -2x=1+y[/tex]
[tex]\implies -2x-1=1+y-1[/tex]
[tex]\implies y=-2x-1[/tex]
Substitute the expression for y into Equation 2 and solve for x:
[tex]\implies -4x-(-2x-1)=11[/tex]
[tex]\implies -4x+2x+1=11[/tex]
[tex]\implies -2x+1=11[/tex]
[tex]\implies -2x+1-1=11-1[/tex]
[tex]\implies -2x=10[/tex]
[tex]\implies -2x \div -2=10 \div -2[/tex]
[tex]\implies x=-5[/tex]
Substitute the found value of x into one of the equations and solve for y:
[tex]\implies -2(-5)-y=1[/tex]
[tex]\implies 10-y=1[/tex]
[tex]\implies 10-y+y=1+y[/tex]
[tex]\implies 10=1+y[/tex]
[tex]\implies 10-1=1+y-1[/tex]
[tex]\implies y=9[/tex]
Therefore, the solution to the given system of linear equations is (-5, 9).
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The volume of a solid is 500 cm3. What is the radius of a cylinder if the height is 13.
Answer:
3.499 cm
Step-by-step explanation:
volume of a cylinder = pi r^2 h
500 = pi r^2 (13)
sqrt ( 500/(pi * 13) = h =
Which answer choice correctly represents an algebraic expression for the quotient of a number and 8?
A 8j
B 1:8
C 3-8
D
8+j
Help mee please
Answer: [tex]j \div 8[/tex]
We're dividing unknown number j over 8
We can write it as [tex]\frac{j}{8}[/tex] similar to how [tex]\frac{3}{4} = 3 \div 4[/tex]
The quotient is the result of a division problem (there may or may not be a remainder).
Connor filled his 150 gallon pool with water in 6.25 hours. How many gallons per hour did he use?
Answer:
24 gallons per hour
Step-by-step explanation:
Connor filled his 150-gallon pool with water in 6.25, to find out how many gallons per hour he used, we have to divide the amount of gallons into every hour. Therefore:
150/6.25
24 gallons per hour.
Which statement illustrates the distributive property?
3(4+5) = 3(4)+5
3(4+5)-3(4)+ 3(5)
3[(4)(5)] - 3(4)+3(5)
3[(4)(5)] = [ 3(4)][3(5)]
Answer:
3(4+5)=3(4)+3(5)
Hope it helps
Step-by-step explanation:
Which ones are greater?
-9 ? 2
-1 ? -3
3 ? -7
-8 ? -4
Answer:
-9<2
-1>-3
3>-7
-8<-4
Explanation:
< = less than
> = more than
Answer:
2 -1 3 -4 and its always positive if you do the negitives it would be the lowst
Answer 1-30 With work shown Please and Thankyou
Answer:
Find the following square and cube roots.1. √144 2.√16 3.√289
= 12 = 4 = 17
4. √(4/81) 5. √25 6. √400
= 0.222 = 5 =20
7. 3√27 8. 3√-8 9. 3√216
= 15.588 = -2 = 6
10. 3√343 11. 3√-1000 12. 3√1
= 7 = -10 = 3
________________________________
Simplify the following square and cube roots. SHOW WORK!13. √112
= solution,
Cube roots, square roots,
3√112 2√112
= 3√(2x2x2)x2x7 = 4√28
= 2 ∛14 = 4√7
= 4.82
14. √20
=
Please help me I can’t do it and don’t add links Three sides of a quadrilateral are the same length q.the length of the fourth side is 7 inches the Preimeter of the quadrilateral is 40 inches write an expression that represents the situations
Answer:
5
Step-by-step explanation:
5
Helppp plssssss!!!!!!
Which probability describes an event that is “very likely”?
A. 0.125
B. 0.9
C. 1
D. 0.50
The probability that describes an event as "very likely" is option B, 0.9.
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain.
A probability of 0.9 means that there is a 90% chance that the event will occur, which is a high likelihood of the event happening. In general, probabilities between 0.7 and 1 are often considered to be "likely" or "very likely".
Therefore, the correct option is B.
To know more about probability follow
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#SPJ7
Find the volume of the prism or compound shape.
3 of 5
Find the midpoint of the line segment with end coordinates of:
(-3,-1) and (-4, 2)
Give coordinates as decimals where appropriate.
Answer:
(-3.5, 0.5)
Step-by-step explanation:
Midpoint Formula
M (x, y) = (x₁ + x₂ / 2, y₁ + y₂ / 2)Solving
M (x, y) = (-3 - 4 / 2, 2 - 1 / 2)M (x, y) = (-7/2, 1/2)M = (-3.5, 0.5)Pleas help me with this and fast!
Select the two correct answers.
A number sentence with a missing digit is shown.
12._8 > 12.5
Which two numbers could be the missing digit?
2
6
9
4
0
Answer:
6 and 9
Step-by-step explanation:
Because if 6 is substituted,
12.68 > 12.5 (correct!)And if 9 is substituted,
12.98 > 12.5 (correct!)The length of a rectangle is three times its width.
If the perimeter of the rectangle is 64 cm, find its length and width.
Answer:
Length: 24 cm
Width: 8 cm
Explanation:
Let Width be "w"
Then Length is "3w"
=================
Perimeter of rectangle = 2(length+width)
===================================
2(3w+w) = 64(4w) = 32w = 8So, width is 8 cm
Length: 3w ⇒ 3(8) ⇒ 24 cm
Answer:
Length = 24 cmWidth = 8 cmStep-by-step explanation:
Given
Length = 3 x Width Perimeter = 64 cmSolving
Perimeter = 2(Length) + 2(Width)Perimeter = 2(Length + Width)Perimeter = 2(3 x Width + Width)Perimeter = 2(4 x Width)Perimeter = 8 x Width64 = 8 x WidthWidth = 64/8 = 8 cmLength = Width x 3 = 8 x 3 = 24 cmA chef needs to decorate cupcakes for a birthday party. If the chef places
2
strawberry slices on top of each cupcake, which inequality represents the possible number of cupcakes,
k
, the chef could decorate with
46
strawberry slices?
The possible number of cupcakes is less than or equal to 23
How to write inequality equation?let
k = possible number of cupcakesNumber of strawberry slices = 46Number if strawberry slices on each cupcake = 2The inequality:
2k ≤ 46
divide both sides by 2
k ≤ 46 / 2
k ≤ 23
Therefore, the possible number of cupcakes is less than or equal to 23
Learn more about inequality:
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For each pair of points, find the slope of the line that passes through the points.
(5, 4) and (0:1)
(3,7) and (-2,2)
Use the slope formula:-
[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]
[tex]\displaystyle\frac{1-4}{0-5}=\frac{-3}{-5} =\frac{3}{5}[/tex]
Second pair:-
[tex]\displaystyle\frac{2-7}{-2-3} =\frac{-5}{-5} =1[/tex]
notes:-If we multiply/divide a negative by a negative, we get a positive. :)
Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
The blades of a windmill turn on an axis that is 30 feet from the ground. the blades are 10 feet long and complete 2 rotations every minute. write a sine model, y = asin(bt) k, for the height (in feet) of the end of one blade as a function of time t (in seconds). assume the blade is pointing to the right when t = 0 and that the windmill turns counterclockwise at a constant rate. y = 30 sine (startfraction pi over 15 endfraction t) 10 y = 30 sine (startfraction pi over 15 endfraction t) 30 y = 10 sine (startfraction pi over 15 endfraction t) 10 y = 10 sine (startfraction pi over 15 endfraction t) 30
The sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.
What is sine function with time?The period of a sine function is equal to the 2π and it repeats after each 2π units.
The sine model can be given as,
[tex]y = a\sin(bt) +k[/tex]
The blades are 10 feet long and complete 2 rotations every minute. Thus the period is,
[tex]b=\dfrac{2\pi}{60}\times2\\b=\dfrac{\pi}{15}\\[/tex]
The blades of a windmill turn on an axis that is 30 feet from the ground. Thus,
[tex]k=30[/tex]
The blades are 10 feet long. Thus,
[tex]a=10[/tex]
Put these values in the above formula as,
[tex]y = 30\sin(\dfrac{\pi}{15}t) +30[/tex]
Thus, the sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.
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Answer:
B
Step-by-step explanation:
Solve for x………………………..
Answer:
85
Step-by-step explanation:
a² + b² = c²
13² + 84² = x²
x = 85
Which of the following are solutions to the equation below?
Check all that apply.
X2 + 10x + 25 = 8
need quick help pleaseee
Answer:
1080°
Step-by-step explanation:
(n - 2) x 180
n = number of sides = 8
(8 - 2) × 180 = 1080°