Answer:
The cost of an oil change for 1 truck was $42
Step-by-step explanation:
Let
x -----> the cost of an oil change for 1 truck
y -----> the cost of gas for 1 truck
z ----> the total bill
we know that
[tex]z=11[x+y][/tex]
we have
[tex]z=\$694.32[/tex]
[tex]y=(6)(3.52)=\$21.12[/tex]
substitute and solve for x
[tex]694.32=11[x+21.12][/tex]
[tex]x=(694.32/11)-21.12[/tex]
[tex]x=\$42[/tex]
A circular plate has circumference 21.4 inches. What is the area of this plate? Use 3.14 for pi.
Given a circle with a circumference of 21.4 inches, first calculate the radius using the circumference formula, then use the radius to calculate the circle's area, which results in approximately 36.29 square inches.
Explanation:This question involves determining the area of a circle given its circumference. The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference, r is the radius, and π is a constant (approximated to 3.14). Given that the circumference is 21.4 inches, we can rearrange this formula to find the radius (r = C/2π), giving us a radius of approximately 3.4 inches.
Now, knowing the radius, we can use it to find the area using the formula for the area of a circle, which is A = πr². Plugging in the values, we find that the area is approximately 36.29 square inches.
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brainliest FOR WHO HELP ME a spherical mini donut hole has a diameter of 6 centimeters. A large spherical donut hole has a diameter of 9 centimeters. Approximately how much greater is the volume of a large donut hole than the volume of a mini donut hole?
86 cm³
113 cm³
226 cm³
268 cm³
Please answer the picture.
Examine the system of equations. y = –3x – 2, y = 7 The value of x is . The solution to this system of equations is .
The value of x is -3 and the solution to this system of equations is (-3 , 7).
When a number of variables are involved, the system of equation is generated. The system of equation has been the set of simultaneous equations as well.
Given :
[tex]y = -3x-2[/tex] ---- (1)
[tex]y=7[/tex] ----- (2)
Solution :
From, equation (1) and (2) we get the value of x to be:
[tex]7=-3x-2[/tex]
[tex]9=-3x[/tex]
[tex]x=-3[/tex]
Therefore, the value of x is -3.
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The Smith family has a two-and-a-half-foot-long sandwich to share. One-half foot of the sandwich will serve one person. How many one-half foot servings are in this sandwich?
Refer the diagram at the right. identify each angle pair as adjacent, vertical, or neither 7-12
the price for dinner in a resteraunt was $80. The customer paid an addition 7% meals tax and left a $15 tip. how much meals tax did the customer pay?
Final answer:
The customer paid a meal's tax of $5.60 on an $80 dinner, calculated by converting the 7% tax rate to a decimal (0.07) and multiplying it by the cost of the meal.
Explanation:
The question pertains to calculating the meal's tax that the customer paid when the price for dinner at a restaurant was $80 and the meal's tax rate was 7%. To calculate the meal's tax, we need to convert the percentage to a decimal and then multiply it by the total cost of the meal.
To do this:
Convert the percent to a decimal: 7% becomes 0.07.
Multiply this decimal by the cost of the meal: 0.07 × $80 = $5.60.
Therefore, the customer paid $5.60 in meal's tax.
Determine the factors of ax + ab + 2by + 2xy.
Answer: (x+b) (a+2y)
Step-by-step explanation:
ax+ab+2by+2xy
split the equatuion in half
1. ax+ab 2. 2by+2xy
gcf=a gcf=2y
ax/a=x 2by/2y= b
ab/a=b 2xy/2y= x
a(x+b) 2y(x+b)
Answer :(x+b)(a+2y)
The mean is 18.1
• The z-score for 13.0 is -1.7
What is the standard deviation for this data set?
the greatest common factor gcf of 2 monomiald is 3x^2y. One of the monomials is 3x^4y . Which couod be the other monomial.
The other monomial must have the factors of 3x^2y, with the possibility of having higher powers of y, but not lower, as this would change the GCF. An example of a compatible monomial with 3x^4y is 3x^2y^2.
Explanation:The question is asking for the other monomial given that the greatest common factor (GCF) of two monomials is 3x^2y and one of the monomials is 3x^4y. Since the GCF is the product of the lowest powers of common factors in the monomials, the other monomial must have at least the factors 3, x^2, and y to a certain power. It can have these factors to higher powers as well, but not to lower powers, since it would then alter the GCF.
An example of another monomial that could be paired with 3x^4y is 3x^2y^2, because it has the factors of the given GCF with potentially higher powers, without affecting the GCF. Therefore, any monomial of the form 3x^2y^n (where n is greater than or equal to 1) could be the other monomial.
An equation is shown below:
5(2x − 3) = 5
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work.
A) This equation has only one solution. B) The solution would be x = 2.
How to find the solution to the given system of equation?For that ,we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable.
If there comes a = a situation for any a, then there are infinite solutions.
Given equation is 5(2x − 3) = 5
By solving further,
10x -15 = 5
10x = 20
x = 2
A) This equation has only one solution.
B) The solution would be x = 2
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A company is deciding which box to use for their merchandise. The first box measures 8 inches wide, 6.25 inches long, and 10.5 inches high. The second box measures 9 inches wide, 5.5 inches long, and 11.5 inches high. What is the separate surface areas of both boxes?
Jill has a balance of $5,000 on her credit card with an annual interest rate of 15%. To pay off the $5,000 in three years, Jill will have to make a minimum payment of $173.33 per month. To pay off the $5,000 in five years, Jill will have to make a minimum payment of $118.95 per month. How much more does Jill have to pay when the length of the loan changes from 3 years to 5 years? A) $1,239.88 B) $1,957.68 C) $2,137.00 D) $897.12
Answer:
The answer is D) $897.12
Step-by-step explanation:
3 years = 36 months
173.33 * 36 = 6239.88
5 years = 60 months
118.95 * 60 = 7137.00
7137.00 - 6239.88 = 897.12
Write 9x+35=-5y in Slope-Intercept form
To solve this problem, we need to remember that slope-intercept form is y = mx +b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the equation. To put the above equation into slope-intercept form, we need to get the variable y to the left side of the equation and the variable x and any constants to the right side of the equation.
9x + 35 = -5y
First, we will begin by adding 5y to both sides of the equation so that the y term is on the left side of the equation.
5y + 9x + 35 = 0
Next, we should subtract 9x from both sides so that the x term is on the left side of the equation.
5y + 35 = -9x
After that, we should subtract 35 from both sides of the equation so that this constant moves to the right side of the equation.
5y = -9x - 35
Now we must divide both sides of the equation by 5 so that the variable y is completely alone on the left side of the equation.
y = -9/5x - 7
Therefore, your answer y = -9/5x -7.
Hope this helps!
The graph below represents which system of inequalities?
Option A
y > 2x − 3
y > −x − 3
Option B
y < 2x − 2
y < −x + 3
Option C
y ≤ 2x − 2
y > −x + 3
Option D
None of the above
What is the value of X 56•
The measure of angle x in the isosceles triangle is 68 degrees.
The correct option is 68°.
What is the measure of angle x?The figure in the image is an isosceles triangle.
An isosceles triangle is simply a triangle that has any two sides equal in length and and also two angles equal in measure.
From the diagram;
Since the triangle is an isosceles triangle:
Angle 1 = 56 degrees
Angle 2 = 56 dgerees
Angle 3 = x
Note that the sum of the interior angle of a triangle adds up to 180 degree.
Hence;
Angle 1 + Angle 2 + Angle 3 = 180
56 + 56 + x = 180
Solve for x
112 + x = 180
x = 180 - 112
x = 68 degrees
Therefore, x has a value of 68 degree.
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What is likely to happen if a new aggregate demand curve moves to the right?
Answer:
Prices and output would rise, and the equilibrium point will change.
<3
William gave 4 football cards to each of the 6 friends.Suppose he had 54 cards left. Write and solve an equation to find how many cards each friend a initially had.
Some students in a school were surveyed to determine how many hours they study per night and their grade-point averages. The results are shown in the table.
If the data are entered into a regression calculator, what is the approximate y-intercept of the resulting regression line?
–1.76
–0.63
0.63
1.76
how far is the ship from the lighthouse?
An ice cream cone has a diameter of 2 inches and a height of 5 inches. What is the volume of the ice cream cone? Round your answer to the nearest hundredth. (Use 3.14 for π.)
10.47 in.3
20.93 in.3
5.23 in.3
15.7 in.3
Solve for x.
a) x=7.5 b) x=16 c) x=17.5 d) x=27.5
Answer: x = 17.5
Step-by-step explanation:
You're using interior angles
Use the law of cosine: c^2 = a^2 +b^2 - 2ab times cos (C)
h^2 = 8^2 + 10^2 - 2(8)(10) times cos (80) so h = 11.67
11.67 over sin (80) = 8 over sin (S) = 10 over sin (T)
sin -1 ((8 times sin (80)) over 11.67) is equal to S
sin -1 ((10 times sin (80)0 over 11.67)) is equal to T
t over sin (T) = s over sin (S)
t = 10 + x
s = 8 + 18 = 22
10 + x over sin (57.54) = 22 over sin (42.45)
x = 22 times sin (57.54) over sin (42.45) and next to this is -10
the answer of x = 17.50
Hope this helps, have a BLESSED and wonderful day! :-)
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PLEASE help!!! what is 4y + 12x= 24 in y intercept form????
Need help with this one
how to write standard form for: (please answer this question soon )
[tex]2x - x ^{2} = 1[/tex]
[tex] - x {}^{2} = 15[/tex]
[tex]4x { }^{2} = 12[/tex]
[tex]5 + x = 3x { }^{2} [/tex]
Find P(C|Y) from the information in the table.
To the nearest tenth, P(C|Y) =
Answer:0.5
Step-by-step explanation:
Find the slope of the line that passes through each pair of points.
1. (5,2),(3,1)
2.(-7,4),(-5,0)
What is the value of X 56•
Which table shows the relationship y=-3x+2?
Which of the following best describes the symmetry of a trapezoid? Select all that apply.
a) point
b) line
c) plane
d) rotational
Answer: A.) Point.
Step-by-step explanation: