Answer:-
Step-by-step explanation:
Step 1 1.2r = 0.6r-3
Step 2 .6r = -3
Step 3 -3 divided by .6 = -5
Answer: -5
0=p-27h/17+h solve for p
Answer: The answer is p=10h/17.
Step-by-step explanation: You'll need to solve for p by simplifying the both sides of the equation, and then isolating the variable.
lots of points pls answer
The table is a function, the graph is a function, but the mapping diagram is not a function.
What is a function?
Any statement, rule, or law in mathematics that specifies the connection between an independent variable and a dependent variable. In mathematics and the sciences, functions are fundamental for constructing physical connections.
In the given table and graph, each input value is paired with only one output variable, so the relation given in these are functions. But in the mapping diagram two inputs are paired with more than one output, so it is not a function.
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A car is driving at 40 kilometers per hour. How far, in meters, does it travel in 2 seconds?
Answer:
i think its 22.22 thats my guess
Answer:
\(\frac{1}{45}\) kilometers
Step-by-step explanation:
60 minutes = 3600 seconds
\(\frac{40}{3600} =\frac{y}{2}\)
3600y = 80
3600y ÷ 3600 = 80 ÷ 3600
\(y=\frac{1}{45}\)
Simplify each side of 4a+ 5a-2=5+3-1
Answer:
9a-2=7
Step-by-step explanation:
4a+ 5a-2=5+3-1
To simplify each side, combine like terms.
4a+5a = 9a
5+3-1 = 7
The equation becomes:
9a-2=7
The credit department of Lion's Department Store in Anaheim, California, reported that 30% of their sales are cash, 30% are paid with a credit card, and 40% with a debit card. Twenty percent of the cash purchases, 90% of the credit card purchases, and 60% of the debit card purchases are for more than $50. Ms. Tina Stevens just purchased a new dress that cost $120. What is the probability that she paid cash?
Answer:
Hence the probability that she paid cash is 0.105
Step-by-step explanation:
P(cash) = 0.3
P(credit card ) = 0.3
P(debit card ) = 0.4
P ( more than $50 | cash ) = 0.2
P (more than $50 | credit card ) =0.9
P (more than $ 50 |debit card ) = 0.6
P ( more than $50) = P ( more than $50 | cash )* P (cash) + P (more than $50 credit card ) * P(credit card ) + P (more than $ 50 |debit card )* P(debit card )
= 0.2 * 0.3 + 0.9 * 0.3 + 0.6* 0.4
= 0.57
P ( more than $50) = P ( more than $50 | cash )* P (cash) / P ( more than $50)
= 0.2* 0.3 / 0.57
= 0.105
Which equation is true for the value a=7
A. a+2(a-3)= 15
B. 4a-4(14)-a=24
C. 2a+47=105
D.3a+2(a-3)=34
E. 4a-2a=18
Answer:
The answer is just re look at the question A
Answer
THE ANSWER IS A
Step-by-step explanation:
What is an equation of the line that passes through the point (-1,-7) and is perpendicular to the line x+y=6x
R 0, -180(x, y) maps to the same point as R 0, 180(x, y).
O True
O False
Answer:
True.
Step-by-step explanation:
Whether you do a rotation 180 degrees clockwise( \(R__(-180,O)\)), or a rotation 180 degrees counterclockwise (\(R__(180,O)\)), the image will always end up in the coordinate diagonal from the pre-image.
A landscaper wants to find the answer to the question “How much time do people in Raleigh, North Carolina, spend doing yard work in one week?” He asks the owners of all 120 houses in a Raleigh neighborhood. Which best describes the accuracy of the results of the survey?
Answer:
A
Step-by-step explanation:
X + x + x + x = 28
Solve for X
Steps to solve:
X + x + x + x = 28
~Combine like terms
4x = 28
~Divide 4 to both sides
x = 7
Best of Luck!
Answer:
\(x=7\)
Step-by-step explanation:
\(x+x+x+x=28\)
Add the "x" variables together:
\(4x=28\)
Divide both sides by 4:
\(\frac{4x}{4}=\frac{28}{4}\)
\(x=7\)
caculate the following multiplication
\(67 \times 12\)
Answer:
804
Step-by-step explanation:
Just use a calculator.
Find the equation of the line containing the point
P(−2, 3)
and perpendicular to the graph of
3x + 9y = −2.
Answer:
Step-by-step explanation:
y = 3x + 9
The point A(−8,−4) is reflected over the origin and its image is point B. What are the coordinates of point b?
9514 1404 393
Answer:
B(8, 4)
Step-by-step explanation:
Reflection across the origin negates both coordinate values.
(x, y) ⇒ (-x, -y) . . . . . reflection across the origin
A(-8, -4) ⇒ B(8, 4)
6th grade math, help me please:)
Answer:
A. 3/5
Step-by-step explanation:
Simple math, 9/15. Divide both by 3.
3*3=9 and 3*5=15 so answer is 3/5!
Answer:
answer is A
Step-by-step explanation:
this is a probability question
divide the number of baskets made by the total number of attempts
9/15 = 3/5
What is the sum of 1/8 and (-3/16)
Answer:
D, or \(\frac{-1}{16}\)
Step-by-step explanation:
To add (or subtract) fractions, you need to have a common denominator.
You might notice that the 16 on the bottom is a multiple of 8.
8*2 as a matter of fact
If we multiply \(\frac{1}{8\\}\) by 1, it doesn't do anything, it stays as 1/8
1 is the same thing as \(\frac{1}{1}\) and is also the same as \(\frac{2}{2}\)
If we multiply \(\frac{1}{8}\) by \(\frac{2}{2}\), we get a bigger fraction, which is \(\frac{2}{16}\)
So, our problem can be re-written as \(\frac{2}{16}+(-\frac{3}{16} )\)
To add (or subtract) fractions with common denominators, you keep the common denominator and add (or subtract) the numerator.
\(\frac{2}{16}+(-\frac{3}{16})=\frac{2-3}{16}=\frac{-1}{16}\)
The last step is to see if our answer can be reduced.
A fraction can't be reduced if there is a prime number in either the numerator or the denominator.
There is a -1 in the numerator, which is prime, and therefore, the fraction can't be reduced.
Despite booming new car sales with their cha-ching
sounds, the average age of vehicles on roads is not
going down. The bar graph shows the average price of
new cars in Country A and the average age of cars o
roads for two selected years. In 2014, the average price
of a new car was $37,600. For the period shown, new-
car prices increased by approximately $1250 per year.
If this trend continues, how many years after 2014 will
the price of a new car average $47,600? In which year
will this occur?
How many Years after 2014 will the average price of new cars average $47,00?
I provided a Picture for the graph! Thanks a ton!
Answer to the 1st question: 8 years
Answer to the 2nd question: The year 2022
=======================================================
Further explanation:
x = number of years after 2008
y = average price of a new car
The prices are going up by $1250 per year on average. This is the slope because the slope is the rate of change. So m = 1250.
The y intercept is b = 30100 as this is the price in 2008.
This leads us to go from y = mx+b to y = 1250x+30100
Plug in x = 0 and you should get y = 30100.
Also, plugging x = 6 into the equation leads to y = 37600 to help confirm things.
-----------------
Next, we plug in y = 47600 and solve for x.
y = 1250x+30100
47600 = 1250x+30100
47600-30100 = 1250x
17500 = 1250x
1250x = 17500
x = 17500/1250
x = 14
This means 14 years after the year 2008 is when the average new car price will be $47,600.
2008+14 = 2022
2022-2014 = 8
Therefore, 8 years after 2014 (aka the the year 2022) is when the new car average price will be $47,600.
find the value of x and the measure of angle axc
Answer:
x = 4
m<AXC = 150
Step-by-step explanation:
m<1 + m<2 = m<AXC
102 + 10x + 8 = 6(6x + 1)
10x + 110 = 36x + 6
26x = 104
x = 4
m<AXC = 6(6x + 1)
m<AXC = 6(24 + 1)
m<AXC = 150
Age of Senators The average age of senators in the 108th Congress was 56.5 years. If the standard deviation was 12.5 years, find the Z-scores corresponding to the oldest and youngest senators of age 85 and 39. Round z scores to two decimal places. Part: 0/2 Part 1 of 2 The Z-score corresponding to the oldest senator of age 85 is oll
Rounding to two decimal places, the Z-score corresponding to the youngest senator of age 39 is -1.40.
To find the Z-score corresponding to a particular value in a normal distribution, we use the formula:
Z = (x - μ) / σ
where x is the value of interest, μ is the mean, and σ is the standard deviation.
Part 1 of 2: For the oldest senator of age 85:
Z = (x - μ) / σ = (85 - 56.5) / 12.5 ≈ 2.28
Rounding to two decimal places, the Z-score corresponding to the oldest senator of age 85 is 2.28.
Part 2 of 2: For the youngest senator of age 39:
Z = (x - μ) / σ = (39 - 56.5) / 12.5 ≈ -1.4
Rounding to two decimal places, the Z-score corresponding to the youngest senator of age 39 is -1.40.
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A water tower 30 m tall is located at the top of the hill. From the distance 120m down the hill, that the angle formed between the top and the base of the tower is 8°. Find the inclination of the hill?
Answer:
This problem could also be tackled by the application of trigonometric ratios. The hill will be inclined at approximately 48° to the horizontal (the ground). The picture represents the solution to the problem.
identify rules of algebra with (x+3)-(x+3)=0
Taking any number x, and adding on its opposite -x, leads to x+(-x) = x-x = 0
This is the inverse property of addition.
A numeric example would be 7 + (-7) = 7-7 = 0
Going back to x-x = 0, we can replace x with any expression (whether simple or complicated) we want.
So in this case, we replace each 'x' with 'x+3' to get (x+3)-(x+3) = 0
The equation (x+3)-(x+3) = 0 has infinitely many solutions. The solution set is the set of all real numbers. We can replace x with any number and the original equation will simplify to a true statement.
Solve for m∠PNM.
58
186
97
87
The calculated measure of m∠PNM is 87 degrees
How to calculate the meausre of m∠PNM.from the question, we have the following parameters that can be used in our computation:
The circle
Where, we have
PM = 360 - 64 - 122
Evaluate
PM = 174
Next, we have
m∠PNM = 1/2 * 174
So, we have
m∠PNM = 87
Hence, the measure of m∠PNM is 87 degrees
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Please help, if you can’t answer all just answer one
Answer:
Inverses
Step-by-step explanation:
One things I could tell about the earth from this graph is that the northern and southern hemispheres are inverses because when the temp of one goes up over the months, the other goes down.
Dorothy Kaatz, a computer programmer, earns a regular hourly rate of
$15.25 and earns double that when she works overtime. Kaatz usually works
40 regular hours and 12 hours overtime while she's trying to update the
company's systems before the month's end. What is her straight-time pay?
What is her overtime pay? What is her total pay?
Answer:
$976
Step-by-step explanation:
Straight time pay= $15.25(hourly rate) × 40(hours worked)= $610
Overtime Rate = 15.25×2= $30.50
Overtime Pay= $30.5 × 12 (Hours worked overtime)= $366
Total Pay= Basic wage + Overtime Wage = $976
determine the values of the missing entries. reduce all fractions to the lowest terms
9x-6y= 18
By evaluating the given linear relation, we conclude that the complete table is:
x: 2, 0, 1, 14/3
y: 0, -3, -3/2, 4
How to determine the values of the missing entries?Here we have the linear relation:
9x - 6y = 18
And we want to complete the given table, to do so, we just need to evaluate the relation in the given values and with that we can find the missing ones.
For example, the first pair has y = 0.
Evaluating that we get:
9x - 6*0 = 18
9x = 18
x = 18/9 = 2
Then we have the pair (2, 0).
The second has x = 0, replacing that we get:
9*0 - 6*y = 18
y = 18/-6 = -3
So we have the pair (0, -3)
The third has x = 1, replacing that:
9*1 - 6y = 18
-6y = 18 - 9 = 9
y = 9/-6 = -3/2
So we have the pair (1, -3/2)
The last value on the table is y = 4, replacing that:
9x - 6*4 = 18
9x - 24 = 18
9x = 18 + 24 = 42
x = 42/9 = 14/3
Then the complete table is:
x: 2, 0, 1, 14/3
y: 0, -3, -3/2, 4
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solve: 2/x+3 - 1/x = -4/x^2+3x
You must show your work and enter your answer below.
The solution of the linear equation is determined as x = -4.
What is the solution of the linear equation?
The solution of the linear equation is calculated by applying the following method as follows;
The given linear equation;
2/x+3 - 1/x = -4/x² +3x
We can start by simplifying the equation and getting rid of the fractions.
Multiplying every term by x will help us achieve that:
2 + 3x - 1 = -4/x + 3x²
Simplifying further:
2 + 3x - 1 = (-4 + 3x²) / x
Combining like terms:
3x + 1 = (-4 + 3x²) / x
(x)(3x + 1) = -4 + 3x²
3x² + x = -4 + 3x²
We can subtract 3x² from both sides:
x = -4
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PLS HELP IM BEING TIMED 2 FOR BRAINLIEST
Phyllis is going ice skating.
• the cost to rent figure skates for x hours is given by the function
f(x) = 1.50x + 2.00.
• the cost to rent hockey skates for x hours is given by the function
h(x) = 2.00x +1.50.
If phyllis rents skates for 3 hours, how much cheaper would figure skates be than
hockey skates?
(Note: Express the answer as dollars.cents.
Answer:
figure skates will be $1 cheaper.
Explanation:
given equation:
to rent figure skates : f(x) = 1.50x + 2to rent hockey skates : h(x) = 2x +1.5solve for rent of figure skates:
f(x) = 1.50x + 2.00
f(3) = 1.50(3) + 2.00
f(3) = 6.5
solve for rent of hockey skates:
h(x) = 2x + 1.5
h(3) = 2(3) +1.5
h(3) = 7.5
cheaper - figure skates than hockey skates:
$7.5 - $6.5
$1
Venessa bought 80 apples for 4$.out of these apples 25 precent were rotten and had to be thrown away Vanessa sold the remaining apples at 6 cents per apple. What is the profit or loss percentage
The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.
Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.
Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.
Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.
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3 ftFind the outer perimeter ofthis figure. Round youranswer to the nearesthundredth. Use 3.14 toapproximate .4 ft5 ft5 ftP = [ ? ] ftNotice that only half of the circle is included in the figure!Enter
Perimeter = sum of outer lengths
Lenght of the triangle sides = 5ft
perimeter of a semicircle = π d; half = π d / 2
5 ft + 5ft + π r
5 + 5 + (3.14*3) = 19.42 ft
there are 12 boys and 16 girls in a classroom which represents the simplified ratio of girls to students in a classroom? 3 to 4, 4 to 3, 4 to 7, 7 to 4
Answer:
Ratio of girls to students = 4 : 7
Step-by-step explanation:
Number of boys= 12
Number of girls= 16
Total number of students= 12+16= 28
Number of girls to number of students= \(\frac{16}{28}\) = \(\frac{4}{7}\)
Ratio of girls to students = 4:7
Hope this helps.
The diagram shows 3 identical circles inside a rectangle.
each circle touches the other 2 circles and the side of the rectangle, as shown in the diagram.
Radius of each circle is 28mm.
work out the area of the rectangle.
Give your answer correct to three significant figures
The area of the rectangle is 6272 mm² (to three significant figures).
What is area?Area is a physical quantity that refers to the amount of space within a two-dimensional shape or surface. It is typically measured in square units such as square meters, square centimeters, or square feet.
What is radius?Radius is a measure of the distance from the center of a circle to any point on its circumference. It is often denoted by the letter "r" and is usually expressed in units of length, such as meters or millimeters.
In the given question,
We can start by drawing lines connecting the centers of the circles and the rectangle.
Let's call the width of the rectangle "w" and the height of the rectangle "h".
Since each circle touches the side of the rectangle, we know that the diameter of each circle is equal to the width of the rectangle, so:
diameter of each circle = radius of each circle = 28 mm
Therefore, we can write:
2 x 28 mm + w + w = h
Simplifying, we get:
w + 56 mm = h/22w + 56 mm = h
Now we can find the area of the rectangle by multiplying its width and height:
Area of rectangle = w x h
Substituting for "h", we get:
Area of rectangle = w x (2w + 56 mm)
Expanding and simplifying, we get:
Area of rectangle = 2w² + 56w mm²
To find the value of "w", we can use the fact that the radius of each circle is 28 mm and the circles touch each other, so:
w + 2 x 28 mm + w = 3 x diameter of each circle
Simplifying, we get:
2w + 56 mm = 3 x 2 x 28 mm
2w + 56 mm = 168 mm
2w = 112 mmw = 56 mm
Now we can substitute this value of "w" into the formula for the area of the rectangle:
Area of rectangle = 2w² + 56w mm²
Area of rectangle = 2 x (56 mm)² + 56 mm x 56 mm
Area of rectangle = 6272 mm²
Therefore, the area of the rectangle is 6272 mm² (to three significant figures).
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