Four times a number, x, plus 3 times a number, y, equals 75. Five times x minus 3 times y equals 6. Find the numbers by setting up a system of linear equations and solving the system using the elimination method.
Solve for x. −4≤16−4x
x≤5
x≤−5
x≥−5
x≥5
(-7,8)(-9,10)(-6,11) reflected over x-axis What are the new coordinates
Brooke buys a toothbrush and toothpaste for 2.95. If the toothbrush costs .65 less than the toothpaste. How much is the toothbrush
Given the information, we can determine that the cost of the toothbrush is $1.15. To arrive at this, we created an equation based on the given information and solved for the unknown, which in this case is the cost of the toothbrush.
Explanation:If Brooke buys a toothbrush and toothpaste for $2.95, and the toothbrush costs $.65 less than the toothpaste, we have to use the information to solve for the cost of the toothbrush.
Let's define the cost of the toothpaste as x. Therefore, the cost of the toothbrush would be x - $0.65 (since the toothbrush costs $0.65 less than the toothpaste).
The combined cost of the toothbrush and toothpaste is $2.95, so we can set up the equation: x + (x - $0.65) = $2.95
If we simplify and solve this equation, we get x = $1.80. That's the cost of the toothpaste. The cost of the toothbrush would therefore be $1.80 - $0.65 = $1.15.
So, the toothbrush costs $1.15.
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A builder could get 6 sheets of shreetrock for 9$ if he bought 12 sheets, how much money would we have spent
With the given ratio of $9 for 6 sheets of sheetrock, the builder would spend $18 if he bought 12 sheets of sheetrock.
Explanation:This is a question about simple ratios in mathematics. In the given situation, the ratio of the price is $9 for 6 sheets of sheetrock. To calculate the cost of 12 sheets, we simply need to multiply the price for 6 sheets by 2.
Alternatively, you could set up a proportion to solve this problem: 9 dollars / 6 sheets = x dollars / 12 sheets. After solving for x, we get x = 18 dollars.
So, if the builder bought 12 sheets of sheetrock, he would have spent $18.
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Which function below is the inverse of f(x)=x^2-25
f(x) = x^2-25
inverse:
y = x^2-25
x = y^2-25
y = sqrt(5 +25)
Answer is B
Andy has 23 coins made up of quarters and half dollars, and their total value is $7.75. how many quarters does he have
The sum of 1/6,2/3, and 1/4is A. 13/12, or 1 1/12. B. 11/12. C. 2/72, or 1/36. D. 4/12, or 1/3.
Sammy and David were selling waterbottles to raise money for new football uniforms Sammy sold 5 for every 3 waterbottles David sold together they sold 160 waterbottles how many did each boy sell
Three variable 2x-5y+z=5 3x+2y-z=17 4x-3y+2z=17
What is the rate for 4 shirts for $32:00
Rhinestone Cowboy Dreadlock Holiday MacArthur Park Total Republican B 33 C 90 Democrat A 24 34 E Total 61 D 53 171 Which of the following can be determined from the table above? A. 2004-06-03-06-00_files/i0290000.jpg B. 2004-06-03-06-00_files/i0290001.jpg C. 2004-06-03-06-00_files/i0290002.jpg D. 2004-06-03-06-00_files/i0290003.jpg
B) On e2020 at least
Hope I helped!
The values that can be determined from the table are:
A = 23, B = 38, C = 19, D = 57 and E = 81
What are equations?Equations are expressions that have equal values, and they are represented by the "=" sign
How to determine the values of A to EThe table entries are given as:
Rhinestone Cowboy Dreadlock Holiday MacArthur Park Total
Republican B 33 C 90
Democrat A 24 34 E
Total 61 D 53 171
From the table, we have the following equations
[tex]B + 33 + C = 90[/tex]
[tex]A + 24 + 34 = E[/tex]
[tex]61 + D + 53 = 171[/tex]
The above equations become:
[tex]B + 33 + C = 90[/tex]
[tex]B + C = 57[/tex]
[tex]A + 24 + 34 = E[/tex]
[tex]A + 58 = E[/tex]
[tex]61 + D + 53 = 171[/tex]
[tex]D= 57[/tex]
Also from the table, we have the following equations
[tex]B + A = 61[/tex]
[tex]C + 34 = 53[/tex]
[tex]90 + E = 171[/tex]
Solve for C and E in the above equations
[tex]C + 34 = 53[/tex]
[tex]C = 19[/tex]
[tex]90 + E = 171[/tex]
[tex]E = 81[/tex]
Recall that:
[tex]A + 58 = E[/tex]
So, we have:
[tex]A + 58 = 81[/tex]
[tex]A = 23[/tex]
Recall that:
[tex]B + A = 61[/tex]
So, we have:
[tex]B + 23 = 61[/tex]
[tex]B = 38[/tex]
Hence, the values that can be determined from the table are:
A = 23, B = 38, C = 19, D = 57 and E = 81
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A glacier advanced down a mountain from an elevation of 2010 m to 1780 m in 5 years. what was the glaciers rate of change
Answer:
[tex]-46[/tex] meters per year.
Step-by-step explanation:
We have been given that a glacier advanced down a mountain from an elevation of 2010 m to 1780 m in 5 years.
[tex]\text{Rate of change}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\text{Rate of change}=\frac{1780-2010}{5-0}[/tex]
[tex]\text{Rate of change}=\frac{-230}{5}[/tex]
[tex]\text{Rate of change}=-46[/tex]
Since the glacier is melting down, therefore, the glacier's rate of change would be [tex]-46[/tex] meters per year.
Almost done. Math has been my worst nightmare since 6th grade.
Given below is the odd-number function. Which of the following are equal to O(9)? Check all that apply.
O(n) = 2n - 1
A. The ninth odd number
B. O(8) + 2
C. 9
D. 17
Enid got a job through an employment agency that charges a fee equal to 40% of the first five weeks’ pay. The job pays $315 per week. How much does Enid have to pay the employment agency?
Find the area of triangle.
Please help me with this graphing problem
What is 3x-2 if x=-1/3
Givens
x = - 1/3
y = 3x - 2
Problem solve for y
y = 3(-1/3) - 2
but 3 * (1/3) = 1
and 3 * (- 1/3) = - 1
So y = -1 - 2
y = - 3
Think of this as a money question. If you are one dollar in the whole and you spend 2 more, you are not 3 in the whole which is minus 3.
A rectangular rug covers the floor in a living room one of the walls in the same living room is painted blue. Are the rug and the blue wall parallel
The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h.
Solve for a.
multiply both sides by 2 to get
2A = (a+b)*h
divide both sides by h
to get 2A/h = a+b
subtract b from both sides to get a = 2A/h -b
3rd choice is correct
Option C - a = [tex]$\frac{2A-bh}{h}[/tex] is the correct alternative.
We have the formula for a trapezoid that relates the area - A, the two bases - a and b and the height - h as follows -
[tex]$A=\frac{(a+b)}{2} h[/tex]
We have to solve for ' a '.
Solve for x : x ( 1 + 2 + 3 + .... + n) = πOn solving -
x( 1 + 2 + 3 + .... + n) = π
[tex]\frac{xn(n+1)}{2} =\pi[/tex]
[tex]x =\frac{2\pi }{n(n+1)}[/tex]
According to the question, we have -
[tex]$A=\frac{(a+b)}{2} h[/tex]
2A = (a + b)h
2A = ah + bh
2A - bh = ah
a = [tex]$\frac{2A-bh}{h}[/tex]
Hence, Option C is the correct alternative.
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Triangle MNO is an equilateral triangle with sides measuring units. What is the height of the triangle? NR units
Answer:24
Step-by-step explanation:
You start 80 miles east of pittsburgh and drive east at a constant speed of 65 miles per hour. (assume that the road is straight and permits you to do this.) find a formula for dd, your distance from pittsburgh, as a function of tt, the number of hours of travel.
To find the distance from Pittsburgh as a function of time, the formula is d = 80 miles + (65 miles/hour × t). The distance increases by 65 miles for each hour of travel.
To find a formula for distance (d) from Pittsburgh as a function of travel time (t), we use the concept that velocity equals distance divided by time (v=d/t). Since you start 80 miles east of Pittsburgh and drive east at a constant speed of 65 miles per hour, your distance from Pittsburgh increases linearly with time. The formula will be:
d = start_distance + (velocity
× time)
d = 80 miles + (65 miles/hour × t)
So, for example, if you drive for 2 hours (t=2), the distance (d) from Pittsburgh will be:
d = 80 miles + (65 miles/hour × 2 hours) = 80 miles + 130 miles = 210 miles
find the complete factored form of the polynomial 9ab^5+6a^3b^4
Identify the transformation that maps the figure onto itself.
Answer:
The correct option is C.
Step-by-step explanation:
From the given figure it is clear that the vertices of the parallelogram are (0,0), (0,-6), (4,-8) and (4,-2).
If a figure rotated 180° about (a,b), then
[tex](x,y)\rightarrow (2a-x,2b-y)[/tex]
If the figure rotated 180° about (2,-4), then
[tex](x,y)\rightarrow (2(2)-x,2(-4)-y)[/tex]
[tex](x,y)\rightarrow (4-x,-8-y)[/tex]
So, the vertices of image after rotated 180° about (2,-4) are
[tex](0,0)\rightarrow (4,-8)[/tex]
[tex](0,-6)\rightarrow (4,-2)[/tex]
[tex](4,-8)\rightarrow (0,0)[/tex]
[tex](4,-2)\rightarrow (0,-6)[/tex]
The vertices of image are same as vertices of preimage. So, 180° rotation about (2,-4) maps the figure onto itself.
Therefore the correct option is C.
(17+4) + 9 = 17 + (4+9)
What numbers below belong to the solution set of the inequality... x+16>51
38
35
16
80
55
34
Felicity put down 800 on a used car. She took out a loan to pay off the balance of the cost of the car. Her monthly payment will be 175. After 9 months how much will she have paid for the car?
After 9 months, the amount she has paid for the car is 2375.
Given,
Felicity put down 800 on a used car.
She took out a loan to pay off the balance of the cost of the car.
Monthly payment = 175.
We need to find the amount paid for the car after 9 months.
What is a down payment?It is a sum of money that a buyer pays in the early stages of purchasing a good.
We have,
Down payment = 800
Monthly pay = 175
So we can write it as,
1 month = 175
Multiply 9 on both sides.
We get,
9 x 1 month = 9 x 175
9 months = 1575
The total amount she has paid after 9 months is :
= Down payment + 9 months payment
= 800 + 1575
= 2375.
Thus after 9 months, the amount she has paid for the car is 2375.
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PLS HELP whoever answers all questions correct gets 50 points and brain list
If the instantaneous velocity of an object is zero, then its acceleration must be:
zero
positive
negative
100 m/s2
not enough information
If the instantaneous velocity of an object is zero, then its acceleration must be zero.
Explanation:If the instantaneous velocity of an object is zero, then its acceleration must be zero. When the velocity is zero, it means the object is not changing its position and therefore not accelerating. So, if the instantaneous velocity is zero, the acceleration is also zero.
Final answer:
An object with an instantaneous velocity of zero could still have positive or negative acceleration, or no acceleration at all. Additional information about the forces acting on the object or its further motion is needed to determine the acceleration.
Explanation:
If the instantaneous velocity of an object is zero, this does not necessarily mean that its acceleration must also be zero. Instantaneous velocity being zero simply indicates that at that particular instant, the object is not moving. However, the object could be accelerating (either positively or negatively), which means it could start moving immediately after. For example, a ball thrown vertically upwards has an instantaneous velocity of zero at the peak of its trajectory, but the acceleration due to gravity is still acting on it, giving it a negative acceleration. Acceleration can also be positive if the object starts to move from a state of rest due to a force. Therefore, with only the information that instantaneous velocity is zero, we cannot determine the acceleration without additional context about the forces acting on the object or its subsequent motion.
The correct answer to the question is: not enough information.