Step-by-step explanation:
3 is the answer
-7x+12x-6=9
when -6 goes to other side it becomes +6
-7x+12x=9+6
5x=15
when 5x which means 5 multiplied to x . When 5 goes other side it becomes division
x=15÷5=3
x=3
if the height and radius of a cylinder tank are equal and it's curved surface area is 308cm^2,find it's height
Let height be x, then radius is also x.
We know that,
C.S.A. = 2πrh
=> 308cm² = 2πxx
=> 308cm² = 2πx²
=> 308cm² = 2(22/7)x²
=> 308cm² = (44/7)x²
=> 308cm² × (7/44) = x²
=> 2156/44 cm² = x²
=> 49cm² = x²
=> √(49cm²) = x
=> 7cm = x
So, height and radius are 7cm each.
Jacob makes a scale drawing for a crate with a scale factor of 1:20. The dimensions of his scale drawing are 3 inches long by 2 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:10. What are the dimensions of the builder's scale drawing? O A. The length is 6 inches and the width is 4 inches. B. The length is 4 inches and the width is 6 inches. O C. The length is 1.5 inches and the width is 1 inch. D. The length is 1 inch and the width is 1.5 inches. SUBMIT
Answer: 6 inches long and 4 inches wide
Step-by-step explanation: The dimensions of the actual crate are 20 times those on Jacob's drawing. The dimensions on the builder's drawing are 1/10 of those, so (1/10)(20) = 2 times the dimensions on Jacob's drawing.
hope this helps
Is 5.3 a possible solution to x > 5 ?
Yes 5.3 is greater than 5
5.3 > 5
Answer:
yes, it is.
Step-by-step explanation:
its a solution because in the graph below, 5.3 is in the shaded region. hope this helped!!
Alonzo makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
Answer:
25
Step-by-step explanation:
Carol bought bananas for $0.50 per pound and 1 pint of strawberries for $2.25. If Carol paid $4.10, how many pounds, p , of bananas did she buy?
Which equation can be used to find p ?
A. .50p+2=4.10
B. .50p+2.25=4.10
C .50+2.25p=3.85
D. 2.75+.25p=4.10
Answer:
B. .50p+2.25=4.10
Step-by-step explanation:
The equation that need to determine the p is shown below:
Given that the bananas would be bought for $0.50 per pound and 1 pint of strawberries for $2.25
Now the total amount paid by Carol is $4.10
So, the equations would be
0.50p + 2.25 = 4.10
Therefore the option b is correct
Use the rule x + 3 to find the missing number on the table.
X Y
0 3
3 6
11
7 10
9 12
The missing number on the table using the rule y = x + 3 is 14
How to use equation to find missing number?X Y
0 3
3 6
11 y
7 10
9 12
The rule:
y = x + 3
y = 0 + 3
y = 3
y = 3 + 3
y = 6
y = 11 + 3
y = 14
y = 7 + 3
y = 10
y = 9 + 3
y = 12
Therefore, the missing number on the table is 14
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what is the meaning of XII in roman numeral
Answer:
its 12 in mathematics....
6/30 in its simplest form
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
6/30 can be simplified by finding the LCD (least common denominator), which is 6
divide both the top & bottom by 6
6/6 = 1
30/6 = 5
thus, your answer is 1/5
Find the length of AB when A(-4,1) and B(3,-1). Round to the nearest tenth (one decimal place) if necessary.
Answer:
7.3 units is the answer rounded
When A(-4,1) and B(3,-1), the length of AB is approximately 7.3 units.
What is distance formula?The distance formula is a mathematical formula that is used to compute the distance between two points in a coordinate plane.
This formula is derived from the Pythagorean theorem, which states that the square of the length of the hypotenuse in a right triangle equals the sum of the squares of the lengths of the other two sides.
We can use the distance formula to find the length of AB:
[tex]d = \sqrt{ ((x2 - x1)^2 + (y2 - y1)^2)}[/tex]
Where (x1, y1) = (-4, 1) and (x2, y2) = (3, -1)
d = sqrt([tex](3 - (-4))^2 + (-1 - 1)^2[/tex])
= sqrt([tex]7^2 + (-2)^2[/tex])
= sqrt(49 + 4)
= sqrt(53)
≈ 7.3 (rounded to one decimal place)
Therefore, the length of AB is approximately 7.3 units.
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What is the value of the expression below?
13 - (-9)
what is the slope between the points (14,1) and (6,-15)
Edwin drove at a constant speed and traveled 182.4 miles in 3 hours. What is his rate in miles per hour?
help quick
142 is what percent of 596?
(Write your answer as a percent rounded to the nearest tenth of a percent. Include the % on your answer.)
Answer:
23.8%
Step-by-step explanation:
Step 1: Divide 142 by 596;
The first step is to divide the numerator of this problem by the denominator. The numerator, in this case, is 142 and the denominator is 596. Here is the equation for this operation:
142/596 = 142 ÷ 596 = 0.23825503355705
Step 2: Multiply 0.23825503355705 by 100
The second step is to multiply the result of step 1 by 100. This will turn our original answer into a percentage. This is the final answer to the problem. Here is the equation for:
0.23825503355705 × 100 = 23.83
Step 3: Round 23.83 to the nearest tenth
To round 23.83 to the nearest tenth consider the hundredths’ value of 23.83, which is 3 and less than 5. Therefore, the tenths value of 23.83 remains 8.
23.83 rounded to the nearest tenth = 23.8%
Describe the slope and y-intercept of the line y = -x + 2.
Answer:
slope = -1
y intercept= 2
Step-by-step explanation:
compare the equation with the standard equation Y= MX + C
where M is the slope
to find Y intercept substitute the value of x as 0
What 5 divided by 4.25.
Answer:
Step-by-step explanation:
5 divided by 4.25 = 85 reminder 0
find the interest rate you are borrowing $2,500 for 2 years and you ear $450 in interest
Answer:
2500×100/2×450
25/2×450
25/900=
36
if 3/4 of a certain number is equal to 4 1/2, find the number
Answer:
6
Step-by-step explanation:
3/4x = 9/2
4/3 * 9/2 = 36/6
6
The number in the mathematical statement is 6
How to determine the number?Let the number be x.
So, the equation can be represented as:
3/4 * x = 4 1/2
Express the fraction as an improper fraction
3/4 * x = 9/2
Multiply through by 4/3
x = 6
Hence, the number is 6
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How much interest would you have if you deposited $200 that if you deposited $150?
Answer:
Difference = 206 - 154.5 = $51.5
In short, Your Answer would be: $51.5
Adam's starting salary is $52,750 per year. He is told that his salary will increase to $66,475 at the beginning of 9 years. What is the rate of Adam's salary?
Step-by-step explanation:
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A line passes through the point (8,-5) and has a slope of 3/2
Answer:
y=3/2x-17
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=3/2(x-8)
y+5=3/2(x-8)
y=3/2x-24/2-5
y=3/2x-12-5
y=3/2x-17
Scientists are conducting an experiment with a gas in a sealed container. The mass of the gas is measured, and the scientists realize that the gas is leaking over time in a linear way. Its mass is leaking by 9.7 grams per minute. Eight minutes since the experiment started, the remaining gas had a mass of 339.5 grams. Let x be the number of minutes that have passed since the experiment started, and let y be the mass of the gas in grams at that moment. Use a linear equation to model the weight of the gas over time.
a. This line's slope-intercept equation is ___________
b. 31 minutes after the experiment started, there would be ____________ grams of gas left.
c. If a linear model continues to be accurate,______________ minutes since the experiment started, all gas in the container will be gone.
Answer: a. This line's slope-intercept equation: y=-9.7x+417.1
b. 31 minutes after the experiment started, there would be 116.4 grams of gas left.
c. If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.
Step-by-step explanation:
Linear equation: y=mx+c (slope-intercept equation)
, where m= rate of change in y with respect to change in x , c= Initial value.
Let y= Mass of remaining gas after x minutes.
m= -9.7 (given)
At x= 8, y=339.5
Thus,
[tex]339.5=(-9.7)(8)+c\\\\\Rightarrow\ 339.5=-77.6+c\\\\\Rightarrow\ c= 339.5+77.6=417.1[/tex]
a. This line's slope-intercept equation: y=-9.7x+417.1
b. At x= 31 minutes
y=-9.7(31)+417.1
⇒ y=-300.7+417.1
⇒ y=116.4
31 minutes after the experiment started, there would be 116.4 grams of gas left.
c. Put y=0, we get
[tex]0=-9.7x+417.1\\\\ x=\dfrac{417.1}{9.7}\\\\ x=43[/tex]
If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.
solve 3/5-(1/6+5/18)
Answer:
7/45
Step-by-step explanation:
IF U NEED THE STEPS LEMME KNOW
You're selling tickets to a school play priced at $5 for students, $10 for parents, and $20 for general admission. The total sales are $2,500, you sell twice as many parent tickets as student tickets, and you selll 10 more students tickets than general admission. How many of each ticket did you sell?
A:60 student, 120 parent, and 50 general admission
B:40 student, 80 parent, and 30 general admission
C:80 student, 160 parent, and 70 general admission
D:90 student, 45 parent, and 80 general admission
Answer:
A
Step-by-step explanation:
4) The overall project budget is $20,000. At Week 8, the actual cost is $9,000 and the CPI is
1.1. What is the earned value of the project at Week 8?
Answer:
the earned value of the project is $9,900
Step-by-step explanation:
The computation of the earned value of the project is shown below:
As we know that
CPI = Earned value ÷ Actual cost
1.1 = Earned value ÷ $9,000
So, the earned value is
= 1.1 × $9,000
= $9,900
hence, the earned value of the project is $9,900
Guys I need help !! X=2 evaluate 5x-2
Answer:
Step-by-step explanation:
Evaluate means to see what value the equation has given x is 2
substitute x for 2 (write instead of x, write 2)
5x-2 will be 5*2-2 , calculate 5*2-2= 10-2 = 8
What are the next three terms in the sequence?
-6,5,16,27...
38, 49,60
37,47,57
36, 45, 54
36, 46,57
Answer:
uff si está bien fácil por favor tu te sabes la respuesta y yo tambien
Sunjai leaves a tip of $4 for his meal at the local burger place. His original meal cost him $18. What was his percent for the tip?
Answer:its 22% pls just give me brainliest so i can move up a ranking
Step-by-step explanation:
Answer:
22%
Step-by-step explanation:
Which graph represents the inequality x > 23 ?
Step-by-step explanation:
step 1. x > 23 means x values greater than 23 but not equal to 23.
step 2. the graph would have an open circle above 23 and a line with an arrow at the end pointing right.
Answer:A
Step-by-step explanation:
Find the simplified form of the expression. Give your answer in scientific notation.
(4 * 10^10)(9x10^-5)
Step-by-step explanation:
Given
(4*10^10)(9*10^-5)
= 36 * 10^10 - 5
= 36 * 10^5
= 3.6 * 10^6
Hope it will help :)
find the value of Tan 45°
Answer:
The exact value of tan(45°) is 1
Step-by-step explanation:
I hope it's helpful!
