Factors of 51: 1, 3, 17, 51
Factors of 68: 1, 2, 4, 17, 34, 68
As you can see the greatest common factor of both numbers is 17.
Therefore, the answer is C.
Best of Luck!
To determine whether
(-1,4) is a solution to the equation 3x + 8y =
29, substitute
for x —
and
for y — .
Answer:
(- 1, 4 ) is a solution to the equation
Step-by-step explanation:
Substitute x = - 1 and y = 4 into the left side of the equation and if the value obtained is equal to the right side then it is a solution
Given
3x + 8y = 29, then
3(- 1) + 8(4) = - 3 + 32 = 29 = right side
Thus (- 1, 4 ) is a solution of the equation
what’s the derivative of 8x?
Answer:
8.
Step-by-step explanation:
d/dx(8x)
= 8 * d/dx(x)
= 8 * 1
= 8.
Use the difference quotient to calculate the average rate of change across the following intervals. Difference quotient of d(t): 3t^2 + 5th – 2
The interval 2 to 3:
The interval 2 to 2.5:
The interval 2 to 2.1:
Answer:
Ok, we have:
d(t) = 3*t^2 + 5*t - 2.
The first interval is:
(2, 3)
and remember that, for an interval (a,b), the difference quotient is:
D = (f(b) - f(a))/(b -a)
Then in this first interval we have:
[tex]d = \frac{d(3) - d(2)}{3-2} = \frac{3*3^2 + 5*3 - 2 - (3*2^2 + 5*2 - 2)}{1} = 20[/tex]
So the average rate of change in (2,3) is 20.
now, in (2, 2.5) we have:
[tex]d = \frac{d(2.5) - d(2)}{3-2} = \frac{3*2.5^2 + 5*2.5 - 2 - (3*2^2 + 5*2 - 2)}{1} = 9.25[/tex]
So here the rate of change is 9.25
And in the interval (2, 2.1) we have:
[tex]d = \frac{d(2.1) - d(2)}{3-2} = \frac{3*2.1^2 + 5*2.1 - 2 - (3*2^2 + 5*2 - 2)}{1} = 1.73[/tex]
So in this interval the rate of change is 1.73
Answer:
2 to 3 is 20
2 to 2.5 is 15
2 to 2.1 is 11
Step-by-step explanation:
I got this question right on EDGE 2023
The product of 6 and x is less than or equal to -37
Answer:
Step-by-step explanation:
6x≤-37
x≤-37/6
x≤ -6 1/6
A mountain climber started his climb at 50 feet above see level, he then descended 28 feet. He then raised 3 feet to rest in his cot to make his final 10 feet climb down. Write an expression to find his position relative to his final position.
Given :
A mountain climber started his climb at 50 feet above see level .
He then raised 3 feet to rest in his cot to make his final 10 feet climb down.
To Find :
An expression to find his position relative to his final position.
Solution :
Let , final position is h .
h is given by :
[tex]h=\text{(Initial position)-(initial descended)+(height raised to rest)-(final descended)}\\\\h=50 -28 +3-10\ feet\\\\h=15\ feet[/tex]
So , his final position is 15 feet .
Hence , this is the required solution .
If angle vuw = 4x+6 and wut = 6x+10 what is the measure of wut
Answer:
C, 38°
Step-by-step explanation:
ray UW is the angle bisector of ∠VUT
--> m∠VUW = m∠WUT = 1/2 m∠VUT
<=> 4x + 6 = 6x - 10
<=> 6 + 10 = 6x - 4x
<=> 2x = 16
<=> x = 8
So, the measure of m∠WUT is: 6x - 10 = 6 . 8 - 10 = 48 - 10 = 38°
1/2 × 2 = ? Step by step explanation would also be helpful!
Answer:
1
Step-by-step explanation:
Simplify the following:
2/2
Hint: | Divide 2 by 2.
2/2 = (2×1)/2 = 1:
Answer: 1
Solve for x. Image is below.
Answer:
(2x +5) + 3x = 90
5x + 5 = 90
5x = 85
x = 17
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How do you know if a given relation is a function or not a function?
Answer:
You can determine whether each element of the domain is paired with exactly one element of the range. For example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function
What type of slope is demonstrated by the line below?
(5,5)
(5,-5)
O A. Zero slope
O B. Negative slope
O C. Undefined slope
D. Positive slope
I need help help me please
the sum of three consecutive integers is 267. What is the largest integer?
Answer: 90
Step-by-step explanation:
We first need to find three consecutive numbers that adds up to 267. We know that the numbers will be somewhat close to 100 because the sum needs to be past 250.
Let's try 85,86,87.
85+86+87=258
258 is very close to 267. We know that we need to increase our numbers.
Let's try 88,89,90.
88+89+90=267
88,89, and 90 added together gives us 267. The question asks for the largest integer. In 88, 89, 90, 90 is the largest integer.
how can you find the value of the expression -5 + 12 + 10 - 7
Answer:
10
Step-by-step explanation:
Please help! alg 1! I really need a explaintion fastttt
Answer:
y = -5x +10(0, 10)(1, 5)see attachedStep-by-step explanation:
1. Subtract 5x from both sides to put the equation in slope-intercept form:
y = -5x +10
__
2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...
(x, y) = (0, 10)
You may notice this is one of the points listed in part 4, and is also used in question 3.
__
3. The x-value computed is 1; the y-value computed is 5. The point is ...
(x, y) = (1, 5)
You may notice this is one of the points listed in part 4.
__
4. See attached
Answer:
1. y = -5x +10
2. (0, 10)
3. (1, 5)
4. see attached
Step-by-step explanation:
1. Subtract 5x from both sides to put the equation in slope-intercept form:
y = -5x +10
__
2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...
(x, y) = (0, 10)
You may notice this is one of the points listed in part 4, and is also used in question 3.
__
3. The x-value computed is 1; the y-value computed is 5. The point is ...
(x, y) = (1, 5)
You may notice this is one of the points listed in part 4.
__
4. See attached
A rectangular prism is completely packed with 63 cubes of edge length fraction 1 over 3 inch, without any gap or overlap.
Answer:
2 1/3 cubic inches
Step-by-step explanation:
Perhaps you want to know the volume of the prism in cubic inches.
Find the total volume of the smaller cubes:
63(1/3 in)^3 = 63/27 in^3 = 7/3 in^3 = 2 1/3 in^3
What is 24 times 1 billion divided over by 2346
Answer: 10,230,179.02813299
Step-by-step explanation:
That would be your answer
Answer:
uh
Step-by-step explanation:
Which expression is equivalent to 5x + 2 - x + 10?
Answer:
4x +12
Step-by-step explanation:
[tex]5x + 2 - x + 10\\\\\mathrm{Group\:like\:terms}\\=5x-x+2+10\\\\\mathrm{Add\:similar\:elements:}\:5x-x=4x\\=4x+2+10\\\\\mathrm{Add\:the\:numbers:}\:2+10=12\\=4x+12[/tex]
What is the value of this expression when a = 4, b= -5, and c= -7?
a + 2bc
3a ?
Answer:
1) -66
2)
Step-by-step explanation:
Given:
a=4
b=-5
c=-7
=a+2bc
=4+2*-5*7
=4+(-10*7)
=4-70
=-66
=3a
=3(4)
=12
Hope this helps ;) ❤❤❤
Answer:
-66, 12
Step-by-step explanation:
4+2 times-5 times -7 times
-70+4= 66
Solve: -3x + 12 = -18
Answer:
x=2
Step-by-step explanation:
-3x+12=-18
-3x=-18+12
-3x=-6
x=-6/-3
x=2
Answer:
x=10
Step-by-step explanation:
We are given the equation:
[tex]-3x+12= -18[/tex]
and asked to solve for x. Therefore, we must isolate x on one side of the equation.
12 is being added to -3x. The inverse of addition is subtraction. Subtract 12 from both sides of the equation.
[tex]-3x+12-12= -18 -12[/tex]
[tex]-3x= -18-12[/tex]
[tex]-3x=-30[/tex]
x is being multiplied by -3. The inverse of multiplication is division. Divide both sides of the equation by -3.
[tex]-3x/3=-30/-3[/tex]
[tex]x= -30/-3[/tex]
[tex]x=10[/tex]
Let's check our solution. Plug 10 in for x and solve.
[tex]-3x+12=-18[/tex]
[tex]-3(10)+12=-18[/tex]
Multiply -3 and 10.
[tex]-30+12=-18[/tex]
Add 12 to -30.
[tex]-18=-18[/tex]
This checks out, so we know our solution is correct.
The solution -3x+12=-18 is x=10.
To what percent should the taxes for each service be
rounded in order to make reasonable estimates?
Restaurant Server:
v%
Florist:
v%
Cab Fare:
%
v%
Dog Groomer:
Answer:
Restaurant Server: 10%
Florist: 10%
Cab Care: 0%
Dog Groomer: 5%
Step-by-step explanation
I took the test and got the question right!!!Also, in the question it says round to make a more resonable number for example in the chart for the resturant it says the cost is $40 dollars and the gratuity is 18% and the tax is 8.5% with this you round 18% to 20% and the tax 8.5% to 9% and round that to 10% and when you round the tax to 10% that is your anwser. Then with all the other numbers on the chart do the same thing and there is all of your anwsers.
Hope I Helped ;)Restaurant Server: 8%
Florist: 12%
Cab Fare: 0%
Dog Groomer: 6%
Restaurant Server:
The cost is $40 and the gratuity is 18%.
To calculate the tax, you multiply the cost by the tax rate, which is 8.5% (or 0.085).
The tax amount would be $40 × 0.085 = $3.40. Rounding this to the nearest whole number would be $3.
Therefore, the tax estimate for the restaurant service would be 8%.
Florist:
The cost is $94 and the gratuity is 12%.
The tax rate for the florist service is 12% (or 0.12).
Calculating the tax amount would be $94 × 0.12 = $11.28. Rounding this to the nearest whole number would be $11.
Hence, the tax estimate for the florist service would be 12%.
Cab Fare:
The cost is $32, and the gratuity is 20%.
The tax for cab fares is mentioned as 0%, which means there is no tax applicable. In this case, rounding is not necessary as the tax amount is already 0%.
Dog Groomer:
The cost is $62, and the gratuity is 26%. The tax rate for the dog groomer service is 5.75% (or 0.0575).
Calculating the tax amount would be $62 × 0.0575 = $3.57.
Rounding this to the nearest whole number would be $4.
Thus, the tax estimate for the dog groomer service would be 6%.
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To what percent should the taxes for each service be
rounded in order to make reasonable estimates?
Service cost Gratuity Tax
Restaurant $40 18% 8.5%
Florist $94 12% 12%
Cab fare $32 20% 0%
Dog groomer $62 26% 5.75%
Restaurant Server:
Florist:
Cab Fare:
Dog Groomer:
Simplify. Thank you...
Greetings from Brasil...
Looking at the attachment we can use some properties:
(A/B) ÷ (C/D) = (A/B) · (D/C)
(M/N) · (P/Q) = (M/Q) · (P/N)
One solution:
[(X + 3)/X] · (X - 1)...........................................................
another polynomial division
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A pronghorn Antelope can run at speeds of about 59 miles per hour . what is that speed in feet per second, to the nearest whole number
Answer:
Step-by-step explanation:
To do this we need to first multiply by the number of feet in a mile to get:
311520 feet per hour
Then we divide by 3600 to get this into feet per second:
86.53333... feet per second
Now rounding this we get 87 feet per second.
If 3x-8=-2 fins the value of x-6
Steps to solve:
3x - 8 = -2; x - 6
~Substitute
3(x - 6) = -2
~Distribute left side
3x - 18 = -2
~Add 18 to both sides
3x = 16
~Divide 3 to both sides
x = 16/3
Best of Luck!
The data below are the speeds of the fastest 5 roller coasters in north america what is the mean absolute deviation (mad) of the 5 speeds in north america? 128, 120 , 100, 95, 92
Answer:
92, 95, 100, 120, 128
Step-by-step explanation:
92, 95, 100, 120, 128
How many terms are there in the following expression: 3a + 3ab + 7b – 4d?
A term is a single constant or variables that have non-zero coefficients.
Since there are 4 terms with non-zero coefficients in the following expression, there are 4 terms.
Hope this helps.
頑張って!
What interval includes all possible values of x, where -3(6 - 2x) >4x + 12
O (-00, -3]
OF-3,00)
0 (0o, 15]
O [15,00)
Step-by-step explanation:
-3(6 - 2x) > 4x + 12
-18 + 6x > 4x + 12
2x > 30
x > 15
The solution set is (15, ∞).
The interval that includes all possible values of x that satisfy the inequality is (15, infinity), which can be written as [15, oo) in interval notation.
The answer is (d) [15,00)
What are intervals?The intervals are numbers or values between two given point
The intervals are denoted as:
Closed intervals = [a, b]
This interval includes a and b.
Open intervals = (a, b)
This interval does not include a and b.
We have,
We can solve the inequality as follows:
-3(6 - 2x) > 4x + 12
Distribute the -3 on the left side:
-18 + 6x > 4x + 12
Subtract 4x from both sides:
2x > 30
Divide both sides by 2:
x > 15
Therefore,
The interval that includes all possible values of x that satisfy the inequality is (15, infinity), which can be written as [15, oo) in interval notation.
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30 = −5(6n + 6) multi step equation show all steps pls
The solution to the equation is n = -2.
To solve the equation 30 = -5(6n + 6) step-by-step, follow these procedures:
Step 1: Distribute the -5 on the right side:
30 = -5 * 6n - 5 * 6
Step 2: Simplify the right side:
30 = -30n - 30
Step 3: Move constant term to one side:
30 + 30 = -30n
Step 4: Combine like terms:
60 = -30n
Step 5: Divide both sides by -30 to isolate 'n':
n = 60 / -30
Step 6: Simplify the right side:
n = -2
The solution to the equation is n = -2.
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rounded to the nearest hundredth thousandth the number 0.00006334 is
Answer:
0.......................
Solve for x.
6(x - 1) = 9(x + 2)
x=-8
O x=-3
O x = 3
O x = 8
The life expectancy in the US is 75 with a standard deviation of 7 years. A random sample of 49 individuals is selected. What is the probability that the same mean will be larger than 77 years?
Answer:
0.02275
Step-by-step explanation:
We use this z score formula to solve for this question
z-score is is z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation
From the above question,
x = 77
μ = 75
σ = 7
number of samples = 49
Hence, the z score = 77 - 75/ (7/√49)
= 2/(7/7)
= 2/1
= 2
Hence, the z score = 2
Using the z table to find probability
P(x<77) = 0.97725
P(x>77) = 1 - P(x<77)
= 1 - 0.97725
= 0.02275
Therefore, the probability that the same mean will be larger than 77 years
is 0.02275