Answer:
The solution for x would be 4.
Step-by-step explanation:
2x - 1 = 7
The value of x is unknown, but you do know that you are multiplying 2 by x. So, if you rewrite the equation as 7+1=2x, you know that 8=2x. If you then divide both sides by 2, you're left with 4=x which would mean that the variable x has a solution of 4
A compound is made up of various elements totaling 90 ounces. If the total amount of uranium in the compound weighs 18 ounces, what percent of the compound is made up of uranium? If necessary, round your answer to the nearest hundredth.
Answer:
20%
Step-by-step explanation:
The percent of the compound that is made of uranium is calculated as:
(Number of ounces of uranium /Number of ounces of the compound)
× 100
Total amount of uranium in the compound weighs = 18 ounces
A compound is made up of various elements totaling = 90 ounces.
Hence:
= 18/90 × 100
= 1800/90
= 20%
Therefore, the percent of the compound that is made up of uranium is 20%
what’s the length of E to D
what’s the length of B to E
Given:
In triangle ACD, BE||CD, AB = 20 cm, BC = 5 cm, CD = 18 cm, AE = 26 cm.
To find:
(a) The length of ED.
(b) The length of BE.
Solution:
In triangle ABE and ACD,
BE||CD, so angle ABE and angles ACD are corresponding angles. So, their measure are equal.
[tex]m\angle ABE=m\angle ACD[/tex] (Corresponding angles)
[tex]m\angle BAE=m\angle CAD[/tex] (Common angle)
Now,
[tex]\Delta ABE\sim \Delta ACD[/tex]
Corresponding sides of similar triangles are proportional.
[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}=\dfrac{AE}{AD}[/tex]
(a)
[tex]\dfrac{AB}{AC}=\dfrac{AE}{AD}[/tex]
[tex]\dfrac{20}{20+5}=\dfrac{26}{AD}[/tex]
[tex]\dfrac{20}{25}=\dfrac{26}{AD}[/tex]
[tex]0.8=\dfrac{26}{AD}[/tex]
Isolate AD.
[tex]0.8AD=26[/tex]
[tex]AD=\dfrac{26}{0.8}[/tex]
[tex]AD=32.5[/tex]
Now,
[tex]AD=AE+ED[/tex]
[tex]32.5=26+ED[/tex]
[tex]32.5-26=ED[/tex]
[tex]6.5=ED[/tex]
Therefore, the length of ED is 6.5.
(b)
[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}[/tex]
[tex]\dfrac{20}{25}=\dfrac{BE}{18}[/tex]
[tex]0.8=\dfrac{BE}{18}[/tex]
Multiply both sides by 18.
[tex]14.4=BE[/tex]
Therefore, the length of BE is 14.4.
If the distance from the center of a Ferris wheel to one of the seats is approximately 90 feet what is the distance traveled by a seated person, to the nearest foot, in four revolutions r=90 feet
Answer: 2261.9 ft
Step-by-step explanation: One trip around is one circumference of a circle. The circumference is 2πr. That's 2(π)(90 ft) = 565.4867 ft. Multiply by 4 trips around for a total distance of 2261.9 ft If you care about significant figures, then you only have report sig fig, so that's 2000 ft.
The total distance traveled by the seated person is 2260.8 feet.
How do you calculate the distance?Given that the distance from the center of the wheel to the seat is 90 feet. The seated person travels for 4 revolutions.
The distance traveled by the seated person in one revolution will be equal to the circumference of the wheel has a radius of r. Hence the circumference of the wheel is given below.
One revolution = [tex]2\pi r[/tex]
One revolution = [tex]2 \times 3.14\times 90[/tex]
One revolution = 565.2 feet
Hence the distance covered in four revolutions can be calculated as below.
Total Distance = [tex]4 \times 565.2[/tex]
Total Distance = 2260.8 feet
Hence we can conclude that the total distance traveled by the seated person is 2260.8 feet.
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A $310 suit is marked down by 20%. Find the sale price.
Answer:
the answer is 62!
Step-by-step explanation:
multiply
Answer:
$248
Step-by-step explanation:
310/100=3.1
3.1x20=62
310-62=248$
3 people can build a shed in 8 hours.
How long would it take 5 people?
Give your answer in minutes.
Answer:
The answer is 288 minutes
The student council hires a dj to play music at the school dance. They pay DJ Dan for 3.5 h at his hourly rate plus a 125$ setup fee. the total cost is $405
What is DjDan's hourly rate?
Answer:
$80
Step-by-step explanation:
DJ Dan's hourly rate will be $80.
What is equation modelling? What is a mathematical equation and expression? Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is the student council hires a dj to play music at the school dance. They pay DJ Dan for 3.5 h at his hourly rate plus a 125$ setup fee. the total cost is $405.
Assume that the hourly rate is $[x]. Than, we can write -
3.5x + 125 = 405
3.5x = 405 - 125
3.5x = 280
x = (280/3.5)
x = 80
Therefore, DJ Dan's hourly rate will be $80.
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I need help with this
Answer:
Here is the summary of true statements:
A) The statement of the function modeled is (0, 3) is TRUE.
D) the equation for the line function is y = 2x+3 is TRUE.
E) the given table represents the linear function is TRUE
Step-by-step explanation:
Given the table
x 1 3 5 7
y 5 9 13 17
E)
It is clear that there is a CONSTANT CHANGE in the x and y values of the graph.
THE CONSTANT CHANGE IN X VALUES
i.e. 3-1=2, 5-3=2, 7-5=2
THE CONSTANT CHANGE IN Y VALUES
i.e. 9-5 = 4, 13 - 9 = 4, 17 - 13 = 4
Thus, the given table represents the linear function is TRUE
B)
It is clear that the value of y increase as the value of x increases.
Thus, the statement ''the value of y decreases as the value of x increases'' is FALSE!
D)
We know that the slop-intercept form of the line equation is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept.
Determining the equation
Taking two points
(1, 5)
(3, 9)
Finding the slope between (1, 5) and (3, 9)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [9 - 5] / [3 - 1]
= 4 / 2
= 2
Thus, the slope of the line = m = 2
now substituting m = 2 and the point (1, 5) to determine the y-intercept
y = mx+b
5 = 2(1) + b
b = 5-2
b = 3
Thus, the value of y-intercept b = 3
substituting b = 3 and m = 2 in the slope-intercept form
y = mx+b
y = 2x+3
Therefore, the equation for the line function is y = 2x+3 is TRUE
A)
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
We already know that the y-intercept b = 3
It means the y-intercept modeled is (0, 3)
Therefore, the statement of the function modeled is (0, 3) is TRUE.
C)
We have already got the equation
y = 2x+3
substituting x = 8
y = 2(8)+3
y = 10+3
y = 13
so at x = 8, the value of y = 13
Therefore, the statement that the ''On a graph of the function when x = 8, the value of y will be 2'' is FALSE!
Conclusion:
Here is the summary of true statements:
A) The statement of the function modeled is (0, 3) is TRUE.
D) the equation for the line function is y = 2x+3 is TRUE.
E) the given table represents the linear function is TRUE
Domain and Range NAME: MR. Q State the domain and range for each graph and then tell if the graph is a function (write yes or no). 1) Domain 2) Domain 3Doman Range Range Range Function? Function? Function?
Answer:
1) Domain = -3 ≤ x ≤ 2
Range = -4 ≤ y ≤ 5
Function? No
Step-by-step explanation:
From the given graph, we have;
The domain of the dot plot = -3 ≤ x ≤ 2
The range of the dot plot = -4 ≤ y ≤ 5
From the given data plot, we have that a straight line joining the data points is in the form of an arrow head with one value of the input (independent) variable, 'x', giving two values of the output (dependent) variable, 'y', such as the input, x = 1, gives two output, y = -2, and y = 3
Therefore, the relation is not a function as one input value produces two output values.
Hi! If you could please do my assignment, I'd be grateful! I'll also mark brainliest, giving thanks, and hearts for the best. Thank you!!!
Answer:
1. AD
2. 5.2 cm
3. x = 4
4. BC
5. 3
6. x = 12
Step-by-step explanation:
Help needed. Will mark brainliest. Please help:c
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Cost of owning and operating a printer :
Purchase Cost = $100
Printing per per page = $0.05
Thus, owning and operating cost :
Purchase cost + (Printing per page * number of pages)
Number of pages = p
100 + 0.05p
Service cost :
Amount per page = 0.25
Total revenue = cost per page * number of pages
Total revenue from service =. 0.25p
The equation :
100 + 0.05p = 0.25p ; is the owning and operating cost = total revenue
It gives the equation to calculate the number of pages at which total revenue equals owning and operating cost.
100 + 0.05p = 0.25p
100 =0.25p - 0.05p
100 = 0.20p
p = 100/0.2
p = 500
When number of pages equals 500; the owning and operating cost is equal to the revenue made.
The table and the graph each show a different relationship between the same two variables, x and y:
How much more would the value of y be in the table, than its value on the graph, when x = 11?
Group of answer choices
110
170
385
495
Answer:
[tex]\displaystyle 385[/tex]
Step-by-step explanation:
The rate of change [slope] of the graph is 35, and for every two blocks you horisontally move represents seventy blocks vertical-wise, therefore an ELEVENTH block would require you to split 70 in half, giving you 35, then add this to 350 to get 385.
I am joyous to assist you at any time.
Answer:
The answer is Option B.) 385
Step-by-step explanation:
The pace of progress of the chart is 35, and for each two squares you horizontally move addresses seventy squares vertical-wise, thusly an 11 square would expect you to part 70 fifty-fifty, giving you 35, then, at that point, add this to 350 to get 385 as a result.
Solve for x please!!!!!nowwww
Answer:
x = 37
Step-by-step explanation: Every angle in a triangle adds up to 180, so we can set up an equation where (x + 48) + (x + 58) = 180. From here, we can combine like terms to get 2x + 106 = 180. 180-106 is 74. 74 divided by 2 is 37. So, x = 37.
Which of the following fractions makes the number sentence true?
2/7 * _ = 2/7
A. 2/5
B. 5/2
C. 5/5
D. 4/4
BRAINLIEST goes to the right answer.
For the function in the graph, find the values of f(-2), f(2), and f(4).
A. 2;2;1
B. -2; -2; -1
C.-2;2;1
D. -2;2;-1
6 + √ 2x + 4 = 14
ill give brainliest
Answer:
X=8
Step-by-step explanation:
Move numbers to the right
[tex] \sqrt{2x} = 14 - 10 \\ \sqrt{2x} = 4 \\ 2x = 4 {}^{2} \\ 2x = 16 \\ x = 16 \div 2 \\ x = 8[/tex]
The value of x is 8.
Given that,
Equation; [tex]\rm 6+\sqrt{2x} +4 = 14\\[/tex]
We have to determine,
The value of x.
According to the question,
To determine the value of x following all the steps given below.
Equation; [tex]\rm 6+\sqrt{2x} +4 = 14\\[/tex]
Step1; Adding the terms 6 and 4,[tex]\rm 6+\sqrt{2x} +4 = 14\\\\ 10 +\sqrt{2x} = 14\\[/tex]
Step2; Taking the term 10 right-hand sides and simplifying the equation,[tex]\rm 10+\sqrt{2x} = 14\\\\ \sqrt{2x} = 14-10\\\\ \sqrt{2x} = 4\\[/tex]
Step3; Square both the sides and solve for the value of x,[tex]\rm \sqrt{2x} = 4\\\\Squaring \ on \ both \ the \ sides\\\\2x = 16\\\\x = \dfrac{16}{2}\\\\x = 8[/tex]
Hence, The required value of x is 8.
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Which calculation will ALWAYS give a result greater than 1? 89 × a number less than 1 7 × a number less than 1 125 − a fraction less than 25 37 + a fraction less than 12
Answer:
The answer is "Option C".
Step-by-step explanation:
Please find the correct question in the attached file.
[tex]\to 1 \frac{2}{5} = \frac{7}{5} \\\\let \\ \to \frac{7}{5} =1.4\\\\\to \frac{2}{5}= 0.4\\\\\to 1.4- 0.4\\\\ \to 1\\[/tex]
Its outcome is 1.4 if we subtract from 0.4. However, a fraction of less than 2/5 may be deducted. This means that the outcome still exceeds 1, that's why choice C is correct.
PLEASE answer as soon as you can! First correct answer will get BRAINLIEST!!! :)
Answer:
(x-3)(x-5)
Step-by-step explanation:
Answer:
x = 3 or x= 5
Step-by-step explanation:
Δ = (-8)² - 4×15
= 64- 60
=4
and 4≥0
so x = (8 - √4 )÷2 = 3
or x= (8 + √4 )÷2 = 5
so P(x) = (x-3) (x-5)
f (x) =2x+10 identify the zeros of the function algebraically
Answer:
x= -5
Step-by-step explanation:
if youre looking for the x this is the answer.
The base of a parallelogram is 6 ft more than the height. If the area of the parallelogram is 55 ft^2, what are the measures of the base and the height?
Answer:
Height = 5 ft
Base = 11 ft
Step-by-step explanation:
The area of a parallelogram is
Base × Height
From the question:
The base of a parallelogram is 6 ft more than the height.
Base = 6ft + h
If the area of the parallelogram is 55 ft^2,
what are the measures of the base and the height?
This is calculated as:
55 ft² =( 6 + h ) × h
55 = 6h + h²
h² + 6h - 55 = 0
h² +5h - 11h - 55 = 0
h(h + 5) - 11(h + 5) = 0
(h + 5)(h - 11) = 0
h - 11 = 0
height = 5ft
Base = 6 + h = 6 + 5
Base = 11ft
please help me it's in like 10 minutes..................
Answer:
The annual interest rate is 12.05%
Step-by-step explanation:
Which of the following is true about the inequality below?
*>9
A. The inequality has an infinite number of solutions.
B. The inequality has no solutions.
C. The inequality has 2 solutions.
D. The inequality has 1 solution.
i need to know asap!!!
Answer:
I'm guessing A, but am not sure, as for any number can go there if it's over 9!
Pls help i dont understand
The dimensions of a square are altered so that 10 inches is added to one side while 1 inch is subtracted from the other. the area of the resulting rectangle is 80in^2. how much larger is the area of the rectangle compared to the square?
The area of the rectangle is 44 square inches larger than the area of the square.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
Let represents the original side length of the square "s", then the dimensions of the rectangle are (s+10) inches and (s-1) inches.
So the area of the rectangle is (s+10)(s-1) = s² + 9s - 10.
Since the area of the rectangle is given as 80 square inches, we can set up the equation:
s² + 9s - 10 = 80
Solving this equation for s, we find that s = 6. This means that the original side length of the square was 5 inches.
The area of the square is s² = 6² = 36 square inches. So the area of the rectangle is 80 square inches and the area of the square is 36 square inches.
Therefore, the area of the rectangle is 80 - 36 = 44 square inches larger than the area of the square.
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Help pls!! Find the value of x and EF
The new pastry chef at Jackson's Bakery specializes in sheet cakes for parties. She sold 17 small, 11 medium, and 20 large sheet cakes in one week. How much money did Jackson's Bakery make in one week from sheet cakes?
Answer:
Therefore the total amount that Jackson's Bakery made in one week from sheet cakes is: = $2,238
Step-by-step explanation:
Step One:
To arrive at the total amount made from the sheet cakes, we have to assign the prices of each type of cake. They are:
Small Sheet Cake - $36Medium Sheet Cake - $46Large Sheet Cake - $56Step Two:
If the new pastry sold 17 small, 11 medium and 20 large sheet cakes respectively, the total money made comes to the following:
= (36 x 17) + (11 x 46) + (56 x 20)
= 612 + 506 + 1120
Therefore the total amount that Jackson's Bakery made in one week from sheet cakes is:
= $2,238
Cheers!
If the Volume of a box is 250 feet3 and the height is 5 feet and the length is 5
feet, what is the measurement of the width?
Answer:
10 feet
Step-by-step explanation:
Use the volume formula, V = lwh, to solve for w
Plug in the values we know:
V = lwh
250 = (5)(w)(5)
250 = 25w
10 = w
So, the width is 10 feet
Can anyone help me please?
Answer:
area= 50.2654825
dssssss
Answer:
48 if pi is equal to 3
50.48 if pi is equal to 3.14
Step-by-step explanation:
Answer please.............
Answer:
Option D: 1 is the correct answer.
Step-by-step explanation:
Given that:
n(x) = 7x+4
n(x) = 11
Putting n(x) = 11 in first function.
11 = 7x + 4
Now, we will subtract 4 from both sides
11 - 4 = 7x + 4 - 4
7 = 7x
7x = 7
Dividing both sides by 7
[tex]\frac{7x}{7}=\frac{7}{7}[/tex]
x = 1
Hence,
Option D: 1 is the correct answer.
The gas tank in my car is 5/6 full . Each time I drive it to or from work I use 1/12 of a full tank of gas . Which equation represents the number of times I can drive to or from work with the gas in my tank
Answer:
5/6 = 1/12x
Step-by-step explanation:
x represents the amount of times you can can drive to or from work with the gas in the tank
5/6 = 1/12x
- Multiply both sides of equation by 12
10 = x
what is the measure of the central angle that represents blue backpacks?
Answer:
Yes it is 10
Step-by-step explanation: