if 2x+5= 12 for some value of x, then what does 6x+20 equal???
Answers
2x + 5 = 12 Subtract 5 from both sides.
2x = 7 Divide 2 from both sides.
x = 3.5
2. Substitute 3.5 in for x in 6x + 20
6(3.5) + 20
21 + 20
41
Your answer is 41.
Related Questions
Dennis is thinking of two number. The only common factors of the number are 1 and 3.Thier first common multiple is 18.One of the number is 9. What is the other number?
Answers
Final answer:
Dennis's other number, considering the conditions of only having 1 and 3 as common factors and 18 as the least common multiple with 9, is 6.
Explanation:
To solve the problem regarding Dennis's numbers, it's crucial to understand the conditions provided: the numbers only share common factors of 1 and 3, one of the numbers is 9, and their first common multiple is 18. To find the other number, knowing one of the numbers allows us to apply the rule of least common multiples (LCM). Since 9's factors are 1, 3, and 9, and the LCM with the other number is 18, this other number must be divisible by itself and 3 but not be a multiple of 9 to maintain the unique common factors condition. The only number that satisfies the condition in which 18 is the LCM and shares only 1 and 3 as common factors with 9, would be 6, since 18 is the smallest number that both 9 and 6 can divide into without other common multiples.
how can you tell before dividing that the first digit of the quotient 2,874/3 is in the hundreds place?
Answers
Final answer:
You can tell that the first digit of the quotient of 2,874 divided by 3 is in the hundreds place by using estimation and recognizing that 287 (the first three digits) is greater than 3 multiplied by 100, thus ensuring the quotient reaches the hundreds place.
Explanation:
To determine if the first digit of the quotient of 2,874 divided by 3 is in the hundreds place before actually dividing, we can use an estimation technique. Estimation helps us to predict the placement of the quotient's digits without doing the full calculation. For the divisor 3 to produce a number in the hundreds place, it must be able to go into the first three digits of the dividend (here, 2,874).
We look at the thousands and hundreds places of the dividend. Since the number 2,874 has a 2 in the thousands place, we know 3 cannot be divided into 2 to give us a number in the hundreds place. But when we include the next digit in the hundreds place, we have 287, which is greater than 3 imes 100. Therefore, we can say that 3 will go into 287 at least 100 times, making the first digit of the quotient in the hundreds place.
This estimation is further validated by the recognition that the number in the hundreds place of 2,874 (which is 8) is more than twice 3, and therefore, dividing it by 3 will definitely yield a number greater than 100 but less than 1,000.
the jacksons went camping in a state park.One of the tents they took is shown . What is the volume of the tent.
Answers
The volume of the Jacksons' camping tent is 94.5 cubic feet. To calculate the volume, you multiply the dimensions: height (3.5 ft) by length (6 ft) by width (4.5 ft).
Explanation:The formula for calculating the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
The length (l) of the tent is 6 feet, the width (w) is 4.5 feet, and the height (h) is 3.5 feet.Substitute these values into the formula: V = 6 ft * 4.5 ft * 3.5 ft.Multiply the values together: V = 94.5 cubic feet.The volume of the tent is determined by multiplying its length, width, and height. In this instance, the Jacksons' tent has a volume of 94.5 cubic feet, providing ample space for their camping needs. Understanding the volume of a three-dimensional object is essential for assessing its capacity and ensuring it meets the requirements of its intended use.
Complete Question:
The Jacksons went camping in a state park. One of the tents they took is shown, tent size in the attached picture 3.5 ft high, 6 ft long and 4.5 ft wide. What is the volume of the tent?
Patty ordered a pizza to be delivered. The bill was $12.00. Patty pays $15 and tells the delivery person to keep the change as a tip. What percent tip did she give?
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(15-12)/12=1/4....
You are having a discussion about sequences with your classmate. She insists the the sequence 2,3,5,8,12 must be either arithmatic or geometric. Is she correct or incorrect? Explain.
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.. a[n] = (n*(n -1))/2 +2
First differences are increasing, so the sequence will not be arithmetic. An arithmetic sequence has constant first differences.
Second differences are constant, so the sequence will not be geometric. A geometric sequence will have first-, second-, third-differences, and those to any level, that have the same constant ratio as the terms of the original sequence.
all my points to person who has best answer plz make it simpule
Solve 8 x^2 + 5 = 35 Round to the nearest hundredth.Enter your answers in the boxes.The solutions are approximately and .
Answers
this is the answer because you subtract the 5 on both sides then divide by 8 which would be x^2=3.75, finally take the square root of both sides to get x=1.94 after rounding
8x² = 35 - 5
8x² = 30
x² = 30/8
x² = 3.75
x = ±1.94 to the nearest hundredth
So x₁ = -1.94 and x₂ = 1.94
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A circle has a radius of 13 inches.
Which equation can be used to find the diameter of this circle?
d=2π(13)
d=12(13)
d=2(13)
d=132
Answers
ANSWER: d= 2(13)
Hope this helps! :)
Answer:
d=2(13)
Step-by-step explanation:
What is the volume of the right rectangular prism?
17 in³
68 in³
108 in³
168 in³
Answers
In this problem, you multiply all the measurements:
2 × 9 × 6 = 108
The answer is 108 in squared, or the third option.
Hope this helped!
Choose a number from 101 to 110 write it draw a picture to show it as 10 tens and more.
Answers
Choose a number from 101 to 110, we selected 106. To represent it with tens and ones, draw ten groups of ten for 'ten tens' which equals 100, and then draw 6 individual objects depicting 'and more' to visually show that 106 is 100 plus 6.
To choose a number from 101 to 110 and represent it as ten tens and more, let's select the number 106. The number 106 can be broken down into ten tens (which is 100) and an additional 6 to make up the full number.
A visual representation of this could be:
For the ten tens, you can draw ten groups of ten sticks or circles together, which would represent 100.
For the additional 6, draw six more sticks or circles away from the groups of tens.
So the drawing will show ten sets of ten objects, such as sticks or dots for the tens, and then six individual objects for the ones, clearly indicating that 106 consists of 100 (ten tens) plus 6 more.
sum of 5 z and 4 divided by two is 7
Answers
[tex]Sum: + (add) \\ \\ 5:5 \\ \\ z:z \\ \\ 4:4 \\ \\ divided by: division \\ \\ 2:2 \\ \\ is: = \\ \\ 7:7 [/tex]
Answer: [tex] \frac{5z +4}{2} = 7 [/tex]
_______________________________________________________________
[tex] \frac{5(2)+4}{2} [/tex]
[tex]5(2) = 10 [/tex]
[tex]10 + 4 = 14 [/tex]
[tex] \frac{14}{2} = 7 [/tex]
Answer: [tex]z = 2[/tex]
__________________________________________________________________
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
What is the area of this parallelogram?
A: 104 m²
B:88 m²
C:56 m²
D:32 m²
Answers
b = 7 + 4 = 11
h = 8
11(8) = 88
The correct answer is B. 88 m^2
Question: Given: m∠AEC = 104° and m∠CBD = 31°, Explain why angles ACE, ACB and BCD have a sum of 180°. Use the transversal (line GF) as the basis for your argument.
Answers
104+31+45= 180
what is the formula for this?
Answers
To find the area of a parallelogram, you multiply the length and the width together, the exact same method you would use to find the area of a rectangle or square.
The reason you would use the same area formula of a rectangle/square to find the area of a parallelogram would be that all rectangles are parallelograms (however, not all parallelograms are rectangles).
**Rectangles are a special kind of parallelogram: they are parallelograms with right angles formed in the corners of the figure.
Another thing to keep in mind is to imagine this: if you were to split the parallelogram from the top left corner straight down, you will get a triangular figure. If you were to move this triangular figure to fill in the right slanted part of the parallelogram, you would have a rectangle.
Now, to solve for the area. Because the formula is A=Base (or the length)*Height (or the width), you should have this expression:
A=20*27
This would simplify to 540 cm squared, which would be your answer.
Hope this helps and have a wonderful day! :)
An 8-foot piece of pipe is cut into 1/3 foot sections. How many sections of pipe are there?
A) 20
B) 24
C) 30
D) 36
Answers
jerry was playing a video game. it took him 10 lives to beat the 2nd world, 5 times as many as it took him to beat the 1st world. how many lives did he use to the 1st world?
Answers
lst world = 5 x 10 = 50 lives
Final answer:
Jerry used 2 lives to beat the 1st world, determined by dividing the 10 lives used for the 2nd world by 5.
Explanation:
Jerry used 10 lives to beat the 2nd world and it took him 5 times as many lives as it did to beat the 1st world. To find out how many lives it took him to beat the 1st world, we need to divide the number of lives used for the 2nd world by 5.
Let x represent the number of lives Jerry used to beat the 1st world. The equation based on the given information is:
5 * x = 10
Now, we solve for x:
x = 10 / 5
x = 2 lives
Therefore, Jerry used 2 lives to beat the 1st world.
What is the arc length of arc CD in the circle below? Circle A is shown with a radius labeled 8 feet and a central angle marked 35 degrees. 3.14 feet 4.88 feet 6.98 feet 11.78 feet
Answers
we know that
the length of the circumference (L)=2*pi*r
r=8 ft
so
L=2*pi*8=16*pi ft
the length of arc CD is 35°-------->let's transform the degrees to feet
we apply a rule of three
if 360° -----------------> 16*pi
35°---------------X
X=35*16*pi/360--------> 4.88 ft
the answer is 4.88 ft
Gerry folded 3/8 of the pile of shirts. Molly folded 1/8 of the pile of shirts. Together did they fold more than half the shirts? Explain your answer.
Answers
Gerry folded 3/8 of the pile of shirts and Molly folded 1/8 of the pile of shirts, so in total they folded 4/8 of the pile of shirts.
A N S W E R:
4 is half of 8, but it is not more than half of 8, so, together, Gerry and Molly did NOT fold more than half the shirts.
Rewrite 3x + 4y = 10 using function notation.
Answers
[tex]3x+4y=10 \\ 4y=-3x+10 \\ y = \frac{-3}{4}x+ \frac{5}{2} \\ \\ f(x) = \frac{-3}{4}x+ \frac{5}{2} [/tex]
At the malt shop a large chocolate shake takes 0.2 of a pint of milk. If a medium shake takes 0.7 the amount of a large, how much does the medium shake take?
Answers
A rectangular quilt is 5 feet wide and 7 feet long. How many feet of lace are needed to cover the edges of the quilt?
Answers
L = 7
W = 5
P= ???
P = 2*7 + 2*5
P = 14 + 10
P = 24 feet of lace.
The rectangular quilt has length 7 feet and width as 5 feet.
In order to find the perimeter, we have this formula:
[tex] P = 2(l+w) [/tex]
Plugging these values in the formula:
[tex] P = 2(7+5) [/tex]
Perimeter = 24 feet.
So 24 feet of lace are needed to cover the edges of the quilt.
pose a word problem that will match the solution
Answers
Hope this helps!
Can someone help me with this?
Answers
.. cos(78°) = (5 ft)/?
.. ? = (5 ft)/cos(78°) ≈ 24.0 ft
uppose you send about 12 text messages a day, and your older sister sends more text messages than you do. Together, you send a total of about 26 messages per day. About how many text messages does she send a day? Write an equation and solve for the unknown value
Answers
1.
A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The image of B, point B', has the coordinates (2, –3). What is the scale factor of the dilation?
110
15
5
10
2.
A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A' has coordinates of (–0.25, 0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply.
The coordinates of C' are (0.75, 0.5).
The coordinates of C' are (1.5, 1).
The scale factor is 18
.
The scale factor is 8.
The scale factor is 14
.
The scale factor is 4.
The coordinates of B' are (-0.25, 1).
The coordinates of B' are (-0.5, 2).
3.
What is the scale factor of a triangle with a vertex of A(–6, 4) that has been dilated with a center of dilation at the origin so the vertex of its image is A'(–24, 16)?
4.
Three transformations will be performed on triangle ABC. Which set of transformations will always produce a congruent triangle?
Dilation, rotation, translation
Reflection, dilation, translation
Rotation, reflection, dilation
Rotation, translation, reflection
Answers
The scale factor is [tex] \frac{1}{5} [/tex]
Question (2):
scale factor = [tex] \frac{1}{8} [/tex]
coordinates of C' are (0.75 , 0.5)
coordinates of B' are (-0.25,1)
Question (3):
The scale factor is 4
Question (4):
Rotation, translation, reflection
Exact steps and explanation for each question are shown in the attached images.
Hope this helps :)
Answer:The scale factor is \frac{1}{5}
Step-by-step explanation:
What is the rule to represent the number of tiles in figure x?
Answers
figure 2 has 14 tiles
figure 3 has 22 tiles
I'm guessing the 2 on the side hints for us to do something+2
the inside parts are
figure 1: 6
figure 2: 12
figure 3: 20
hmm, the width is 1+number figure
height is 2+figure number
so therefor, figure x is (1+x)(2+x)+2
so the rule is figure x has (x+1)(x+2)+2 or [tex]x^2+3x+4[/tex] tiles
a. the rule is figure x has (x+1)(x+2)+2 or [tex]x^2+3x+4[/tex] tiles
b. it is quadratic because it has [tex]x^2[/tex] in it
Tymere says that 7/10 × 7/10 equals 49/10. Which of the statements below is true?
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In a trapezium pqrs , pq is parallel to Sr , pq = ps = qr and psr = 66 , calculate
A) qrs. B) pqs
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Answer: A) qrs.
Hoping this helps you!
A farmer has 112 pecan tree and 97 walnij tree. How many more pecan Teresa does the farmer have than walnij tree? Desrcibe what you would do
I would regroup the tens
I would add 12 + 97
I would subtract 7 ones from 12 ones
Which answer is correct?
Answers
Give an example of a set of data displayed in a line graph
Answers
Answer:
data displayed in a line graph represents change over time
Step-by-step explanation:
and example could be effects of different soil on the same kind of plant over a week
Seventy concert tickets were sold for $550. Each adult ticket cost $9 and each children's ticket cost $5. Find the number of adult tickets and the number of children's tickets sold.
Answers
Total cost = $550
Adult's ticket = $9
Child's ticket = $5
Difference = 9 - 5 = $4
Assume all 70 are child's tickets
5 x 70 = 350
But the total cost was 550
550 - 350 = $200
The $200 must have come from Adult's tickets, which has a difference of $4.
200 ÷ 4 = 50
So there are 50 adult's tickets.
70 - 50 = 20
And there are 20 child's tickets.
There were 50 adult tickets and 20 children's tickets sold.
To determine the number of adult and children's concert tickets sold, we use a system of equations: x + y = 70 (total tickets) and 9x + 5y = 550 (total revenue). Solving these, we find 50 adult tickets and 20 children's tickets were sold.
To find the number of adult and children's concert tickets sold, given the total revenue and the price of each ticket, we can set up a system of linear equations. Let's define x as the number of adult tickets and y as the number of children's tickets. We are given that:
The total number of tickets sold is 70: x + y = 70The total revenue from the tickets sold is $550: 9x + 5y = 550Now we have the following linear equations:
x + y = 709x + 5y = 550We can solve this system using either the substitution or elimination method. For simplicity, we'll use the elimination method.
Multiply the first equation by 5 to match the coefficient of y in the second equation:
5x + 5y = 350Now subtract the new equation from the second equation given:
(9x + 5y) - (5x + 5y) = 550 - 3504x = 200x = 50Using the value of x in the first equation, we find y:
50 + y = 70y = 20Therefore, there were 50 adult tickets and 20 children's tickets sold.