Answer: 8.4000
Step-by-step explanation:
Answer: Or i could be 8.4 × 104
Step-by-step explanation: You multiply this and get 840000 or 8.4000
A taxi charges an initial fee of $5 and then $1.50 per mile. The cost of a taxi ride can be represented by the following expression:
5 +1.50z
where z is the number of miles traveled.
Select either True or False.
1.The expression has 3 terms.
2.The coefficient in the expression is 1.50.
3.The expression contains a quotient.
Answer:
1. False. The only term is the number of miles traveled or z
2. True 1.50 is being multiplied so it is a coefficient of z
3. False. there is no division being done.
PLEASE HELP ASAP WILL GIVE BRAINLIEST AND 100 POINTS.
Answer:
1. 14
2. 25
3. 22
4. 25
5. 8
Step-by-step explanation:
These are actually simple linear equations disguised as geometry.
Image 1.
the triangle is an isosceles triangle, so 2x = 50
sum in triangle is 180, so
5y+10 = 180 - 2*50
5y = 70
y = 14
Image 2.
the triangle is an isosceles triangle, so AB=BC
5x+5 = 7x-1
5 = 2x-1
2x = 6
x = 3
AC = 6x+7 = 18+7 = 25
Image 3.
the triangle is an isosceles triangle, so AC=AB
2x-24 = x-2
x-24=-2
x = 22
BC = x = 22
Image 4.
The triangle is an equilateral triangle, so AB=BC=AC
3x-5=2x+20
x-5=20
x=25
Image 5.
The triangle is an equilateral triangle, so every angle is 60 degrees
7x+4 = 60
7x = 56
x = 8
In ΔWXY, \overline{WY}
WY
is extended through point Y to point Z, \text{m}\angle YWX = (3x+17)^{\circ}m∠YWX=(3x+17)
∘
, \text{m}\angle XYZ = (10x-5)^{\circ}m∠XYZ=(10x−5)
∘
, and \text{m}\angle WXY = (3x+2)^{\circ}m∠WXY=(3x+2)
∘
. Find \text{m}\angle WXY.m∠WXY.
Answer:
20°
Step-by-step explanation:
Exterior angle property: The exterior angle of a triangle equals the sum of opposite interior angles.
∠XYZ = ∠YWX + ∠WXY
10x - 5 = 3x + 17 + 3x + 2
10x - 5 = 3x + 3x + 17 + 2
10x - 5 = 6x + 19
10x = 6x + 19 + 5
10x = 6x + 24
10x - 6x = 24
4x = 24
x = 24÷ 4
[tex]\sf \boxed{x = 6}[/tex]
∠WXY = 3x + 2
= 3*6 + 2
= 18 + 2
= 20°
Ben sells greeting cards for $5 each in his online store. He also charges $1.99 for shipping. The total
cost, y, of an order from Ben’s store is found using the equation y = 5x + 1.99, where x is the number of
cards bought. Which quantity represents the dependent variable in this problem situation?
The quantity which represents the dependent variable in this problem situation is: A. the number of cards sold.
The types of variables.In Mathematics, there are two (2) main types of variables and these include the following:
Dependent variable.Independent variable.What is a dependent variable?A dependent variable can be defined as the variable which signifies the effect of an independent variable and it is dependent on other factors because it's the part of an experiment that's being observed or measured.
Based on the information provided in this scenario, we can reasonably infer and logically deduce that the dependent variable is the number of greeting cards sold by Ben.
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Complete Question:
Ben sells greeting cards for $5 each in his online store. He also charges $1.99 for shipping. The total cost, y, of an order from Ben’s store is found using the equation y = 5x + 1.99, where x is the number of cards bought. Which quantity represents the dependent variable in this problem situation?
A. the number of cards sold
B. the total cost of an order
C. the cost of one card
From a thin piece of cardboard 20 in. by 20 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary.
The 20 in. by 20 in. cardboard used make the box by cutting out squares of length x from the corners gives;
The dimensions that will yield maximum volume are;
Length =
The dimensions of the cut square that gives the maximum volume is approximately 3.3 feet, while the dimensions of the box are;
Length; 13.3 feet
Width; 13.3 feet
Height; 3 feet
The maximum volume of the box is approximately 592.6 ft³
What is the maximum value of a function?The maximum value of a function is the peak or highest point on the graph of the function.
The volume, V, of a box of Length, L, Width, W and Height, H, is given by the formula;
V = L×W×H
The length, width, and height of the box obtained by cutting a square of side length, x from the corners are;
Height of the box formed = x
Length of the cardboard box = 20 - 2•x
Width of the cardboard box = 20 - 2•x
The volume of the box is therefore;
V(x) = (20 - 2•x)•(20 - 2•x)•x = 4•x³ - 80•x² + 400•x
At the maximum point, we have;
V'(x) = (3×4)•x² - (2×80)•x + 400 = 0
V'(x) = 12•x² - 160•x + 400 = 0
Which gives;
3•x² - 40•x + 100 = 0
(3•x - 10)•(x - 10) = 0
Therefore;
[tex] \displaystyle{x = \frac{10}{3} }[/tex] and x = 10
When x = 10, we have;
V(10) = 4×10³ - 80×10² + 400×10 = 0
When x = 10/3, we have;
V(10) = 4×(10/3)³ - 80×(10/3)² + 400×(10/3) ≈ 592.6
Therefore, the dimensions of the box that gives the maximum volume is [tex] \displaystyle{x = \frac{10}{3} \approx 3.3}
The dimensions that yield maximum volume are therefore;
Length = 20 - 2 × (10/3) feet = 13.3 feetWidth = 13.3 ft.Height = 3.3 feetThe maximum of the box is 592.6 ft³
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Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19. Use the ranges listed in the table below: Range Number of Values 1 – 5 6 – 10 11 – 15 16 – 20 21 – 25 What value should be placed in the second column for the range 16 – 20? Group of answer choices
For the given data set the frequency of the number in the range of 16 – 20 will be 6.
What is a conditional relative frequency?It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell by the total frequency.
It is given that frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19.
Calculate the frequency of each class by counting the tally marks. The proportion of data items in a data class is its relative frequency.
The table shows the value and the frequency of all the numbers. It is obtained that the values occur in the range of 16 and 20 is 6.
Thus, for the given data set the frequency of the number in the range of 16 – 20 will be 6.
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PLEASE HELP!!!
Josie is participating in a charity bike ride. This table and graph represent her performance during the ride where x is the number of hours Josie rides and y is her distance from the finish line. Match the quantity to the correct feature and interpretation.
Hours (x) 0 2 4 6 Kilometers away from finish line (y) 75 50 25 0
(ur answer) The x-intercept. The amount of time, in hours, that has passed when Josie completes the race.
(ur answer) The y-intercept. Josie's distance, in kilometers, from the finish line when she begins the ride.
(ur answer) The slope: the absolute value of the slope represents the speed Josie is riding in kilometers per hour.
ANSWERS TO PUT IN:
1. -25/2
2. 6
3. 75
The value of the x-intercept is 6, the y-intercept is 75, and the value of the slope is -25/2.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The x-intercept from the graph(where y = 0)
The x-intercept = 6
The y-intercept from the graph(where x = 0)
The y-intercept = 75
The slope can be found using two points: (0, 75) and (2, 50)
[tex]\rm m =\dfrac{50-75}{2-0}[/tex]
m = -25/2
Thus, the value of the x-intercept is 6, the y-intercept is 75, and the value of the slope is -25/2.
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HELP ME PLEASE WILL GIVE BRAINLIEST!!!!
Answer:
F
Step-by-step explanation:
The shape ABCD is reflected over the given line. If you were to fold the shape over to overlap the new figure FGHI, point A would correspond with point F
Answer: F.
Step-by-step explanation:
because that's the answer.
plssssssssssssssss my brother got to go to the mall so pls hurry
Answer:
Step-by-step explanation:
Try to solve with a different mindset and or perspective.
Answer: Part A: 460 x 0.10
Part B: 460/10
Part C: 460/10 = 46
Step-by-step explanation: If the price of 10 textbooks is $460, then 1 textbook is $46.
Grab the image of kite EFGH after of a reflection over the line y=1
Please help I’m literally about to cry
Check the picture below.
for A=s^2 find A when s=25 ft
The value of A = 625 ft.
What is substitution?
Substitution is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
Given,
A = [tex]s^{2}[/tex]
when s = 25, A = 25(25)
A= 625 ft.
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does anyone know how to graph trigonometric functions for algebra 2?
Solution:
Give the following below
[tex]\begin{gathered} amplitude=3 \\ period=\frac{\pi}{2} \\ midline,\text{ }y=-1 \\ Passing\text{ through the point }(0,2) \end{gathered}[/tex]To find the cosine function, we will apply the general formula for cosine function below
[tex]\begin{gathered} f(x)=a\cos(bx-c)+d \\ Where \\ a\text{ is the amplitude} \\ b\text{ represents the speed of the cycle} \\ d\text{ is the vertical shift} \\ \frac{c}{b}\text{ is the phase shift \lparen horizontal shift\rparen} \\ Period=\frac{2\pi}{b} \end{gathered}[/tex]To find the value of b
[tex]\begin{gathered} Period=\frac{\pi}{2} \\ \frac{2\pi}{b}=\frac{\pi}{2} \\ Crossmultiply \\ b\times\pi=2\times2\pi \\ b=\frac{4\pi}{\pi} \\ b=4 \end{gathered}[/tex][tex]\begin{gathered} a=3 \\ b=4 \\ d=-1 \\ c=0 \end{gathered}[/tex]Substitute the values of the variables into the general formula for cosine function
[tex]\begin{gathered} f(x)=a\cos(bx-c)+d \\ f(x)=3\cos(4x-0)-1 \\ f(x)=3\cos4x-1 \end{gathered}[/tex]Applying a graphing tool,
The graph of one cycle of the function is shown below
DATE/0 12 2. ace of a clock has a circumference of 63 in. What is the area of ce of the clock? (Lesson 3:8) of these pairs of quantities are proportional to each othe
The area of the clock = 315.41 inch[tex]squre[/tex]
The clock's face has been provided to us, and it is = 63 inch
Explanation?
The clock's face has been provided to us, and it is = 63 inch
So the circumference of the clock is also that amount.
given that the clock has a circular shape.
[tex]2\pi (r)= 63inch[/tex]
So
We will use this information to compute the radius[tex](r)[/tex] (of the circular clock.
Then
[tex]2\pi (R) = 63 inch =63/2\pi =10.2 inch[/tex]
The area of the circle equation will now be changed to include this value of (r) in order to obtain the area of the clock.
Now
[tex]\pi ( r)^{2} = \pi (10.02)^{2} = 315.41 in^{2}[/tex]
The area of the clock's face is therefore = [tex]315.41in^{2}[/tex]
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Find the X value. 7x-4-3x=-3x+10
Answer:
x = 2
Explanation:
The given expression is
7x - 4 - 3x = -3x + 10
First, we need to add the like terms on the left side
(7x - 3x) - 4 = -3x + 10
4x - 4 = -3x + 10
Add 4 to both sides
4x - 4 + 4 = -3x + 10 + 4
4x = -3x + 14
Add 3x to both sides
4x + 3x = -3x + 14 + 3x
7x = 14
Finally, divide by 7
7x/7 = 14/7
x = 2
Therefore, the answer is x = 2
10/3 = 10 × 10 × 10=
Answer:
Step-by-step explanation:
10 x 10 x 10 = 1000
10/3 = 3.333333
Find the surface area of the figure.
Answer:
20m
11m
20m2
5m
11m
8x8
11x2
For a craft project you need 114 inches of ribbon, but it is only sold by the meter. Determine the amount of ribbon, in meters, you need to buy for the project. (1 inch = 2.54 centimeters and 1 centimeter = 0.01 meter)
29
290
3
12
The length of the ribbon used for the craft project is 3 meters
The length of ribbon need for the craft project = 114 inches
So, the length of the ribbon need to be in meters .
Thus, we can convert inched to centimeter by
1 inches = 2.54 centimeters
We know that 1 cm = 0.01 m
Thus , 1 inch = 2.54 x 0.01 m
1 inch = 0.0254 m
Then for length of 114 inch ,
114 inch = 0.0254 x 114 meters
= 2.89
≈ 3 meters
Therefore , the length of the ribbon is 3 meters
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(C): 3 meters.
Step-by-step explanation: The answer is 3 meters. The way to find this is relatively easy.
1. First, write 114 x 2.54.
2. Which is 289.56. Next, we convert 389.56 centimeters to meters.
3. That should give you 2.89. Because 8 is bigger than 4, we round up.
4. Now our answer is 3.
AFTER MESSAGE: I hope this helps! This is my first answer in a while, so forgive me if it is complicated. Also, give brainliest to other guy, he was here first.
Thank you!
X[tex]\sqrt{x}[/tex] + 7x + 10
factor the equation
algebra 2
There is no real solution for the equation X√x + 7x + 10.
A number or other mathematical object is factorized or factored when it is written as the product of numerous factors, typically smaller or simpler things of the same kind. For instance, factorizing the number 15 as 3 5
Solve X√x + 7x + 10 for x.
Subtract 7x from both sides
X√x + 7x + 10 - 7x = -7x
X√x + 10 = -7x
Subtract 10 from both sides
X√x + 10 - 10 = -7x - 10
X√x = -7x - 10
Divide both sides by √x
X√x / √x = (-7x - 10) / √x
x = (-7x - 10) / √x
The defined range
(0 , ∝)
Hence, The equation Xx + 7x + 10 has no actual solution.
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Find an equation for the perpendicular bisector of the line segment whose endpoints are (3,−7) and (−9,−1)
The equation for the perpendicular bisector of the given line segment is y = 2x + 2.
Here, we are given a line segment with end points (3,−7) and (−9,−1)
Thus, the slope of the line can be calculated as-
(y1 - y2)/ (x2 - x1)
= (-1 + 7)/ (-9 - 3)
= 6/ -12
= -1/2
Now, since we the slope of 2 lines that are perpendicular to each other is negative of the reciprocal, thus-
slope of the perpendicular bisector = 2
Now, the midpoint of the given line segment will be-
{(x1 + x2)/2, (y1 + y2)/2}
= {(3-9)/2, (-7-1)/2}
= {-6/2, -8/2}
= (-3, -4)
Now, we can use the point slope form to find the equation of the perpendicular bisector-
(y- y1) = m(x - x1) where m is the slope and (x1, y1) is a point on the line.
⇒ (y+4) = 2(x+3)
y + 4 = 2x + 6
y = 2x + 2
Thus, the equation for the perpendicular bisector of the given line segment is y = 2x + 2.
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10 samples of different pastries are on display as customers leave a bakery, they are told that they can choose any 4 samples. how many different selections can a customer make?
The number of different selections that a customer can make is of 210.
How to find the number of different selections that the customer can make?To calculate the number of different selections that the customer can make, we need to verify if the order of the selections matters or not, then:
If the order matters, permutation is used.If the order does not matter, combination is used.In the context of this problem, the order does not matter, hence the combination formula is used.
The number of combinations, from a set of n elements, of x elements, is given according to the following rule:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, the number of selections is of 4 samples from a set of 10 samples, hence it is calculated as follows:
[tex]C_{10,4} = \frac{10!}{4!6!} = 210[/tex]
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Ana can bike 9 kilometers in 24 minutes. At this rate, how far can Ana bike in 1 minute?
Answer:
0.375 kilometers, or 3/8 of a kilometer.
Step-by-step explanation:
Answer: 0.375 or 3/8 of a kilometer
Step-by-step explanation:
divide the numbers
9 / 24
0.375 or 3/8 of a kilometer
I need help I have to trun it in I have like 5 minutes
Simplifying the given expression, the passcode would be: CDOPWR.
How to Simplify an Expression?To simplify an expression means to solve to find the value in its simplest form.
Simplify the given expression as explained below:
P. 1/2 + 2/3 - 4.25
= 1.17 + 4.25 [addition]
= 5.42
R. -7 * -4 + 3.5
28 + 3.5 [multiply before adding based on PEMDAS]
= 31.5
D. -5.6 + 2.7 - 3.2 = -6.1
W. 3/4 - 0.25 + 6.8
0.75 - 0.25 + 6.8 = 7.3 [apply PEMDAS]
C. -2 * 4.3 - 7.1 [apply PEMDAS]
= -8.6 - 7.1
= -15.7
O. 1/2 + 0.5 - 2/5 [convert all fractions to decimals]
0.5 + 0.5 - 0.4 = 0.6
From the least to the greatest, the passcode would be: CDOPWR.
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Three sisters share some money. the oldest gets 5/11 of the share. The older gets 7/12 of the remainder. what fraction of the money does the old girl gets?
The fraction of the money the old girl gets is 7x/22 and the oldest gets 5x/11.
How much does an older girl get?Given,
Oldest gets 5/11 of the share.
The older gets 7/12 of the remainder.
Solution:
Let x be the total amount.
Oldest share = 5/11*x
= 5x/11
Older share =( x - 5/11*x)*7/12
= (11x-5x/11)*7/12
= 6x/11*7/12
= 42x/132
= 21x/66
=7x/22
The fraction of the money the old girl gets is 7x/22 and the oldest gets 5x/11.
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please help me find the area of the regular polygon?Remember to round to the nearest tenth
The area of the polygon is 341.1
We need to find first the base of the triangle
using Pythagorean theorem, a^2+b^2 = c^2
we have the base of 4.18
since the polygon is symmetric and regular, we have 16 same triangles within the polygon
using the area of the triangle multiply by 16 we can get 341.1
the amount of water used by a washing machine varies directly with the weight of the load being washed the washing machine uses 28 gallons to wash 7 pounds of clothing how many gallons of water with the machine use to was 24.5 pounds of laundry
Hi help with this please
0.65×3.5 I need the answer today pls if you know how to do the problem pls help.
Answer:
2.2815
Step-by-step explanation:
4563/2000 X 2 and 563/2000
1. There are 8 puppies, and 3 of them have red collars.
What fraction of the puppies have red collars?
Answer: 3 / 8 of the puppies have red collars
Given that 1 mile = 1.609 kilometres and 1 gallon = 4.546 litres, change 35 miles per gallon into litres per 100 kilometres. Give your answer correct to 3 significant figures.
6.72 liters per 100km
35 miles per gallon is 6.7204 liters per 100 kilometers
How to convert MPG to Liter per 100kmMiles per gallon (mpg) is a measure of a vehicle's fuel economy. Miles traveled divided by gallons of fuel consumed is the simple formula.Subtract the original odometer reading from the new one to get the miles traveled from the trip odometer. Divide the distance traveled by the number of gallons used to fill the tank. As a result, your car's average miles per gallon yield for that driving period will be calculated.The number of kilometers per liter refers to the range in kilometers that a vehicle can travel while consuming one liter of gas.Here given ,
1 mile = 1.609km
1 gallon = 4.546 liters
We have to find 35 MPG to L/100km,
Because 1 MPG is equal to 235.22 L/100km, 35 MPG is equal to 6.7204 L/100km.1 MPG = 235.215 / 1 = 235.22 Litres per 100 kilometers35 miles per gallon = 235.215 divided by 35 equals 6.7204 liters per 100 kilometers35 miles per gallon = 6.7204 liters per 100km
6.7204 to 3 significant figures = 6.72 liters per 100km
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Two angles are complementary to each other. If one angle measures 23.28°, what is the degree measure of the other angle?
A: 156.72°
B: 66.72°
C: 46.56°
D: 23.28°
Answer:B 66.72
Step-by-step explanation:
complementary means if two angles are added up they will equal 90. we and eliminate d cause 23.28+23.28=46.56 so d is wrong now let's try c 46.56+23.28=69.84 so c is wrong cause it doesn't equal 90 now let's try a 156.72+23.28=180 its wrong since we are using complementary angles instead of supplementary angles Supplementary are angle two angles that add up to 180. so that just leaves b cause 23.28+66.72=90. i hope this helps and i made sure to explain it as best as i can have a great day
The solution is Option B.
The measure of the complementary angles are 66.72° and 23.28°
What are Complementary Angles?When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.
Let the first angle and second angle be a and b respectively such that
a + b = 90°
Given data ,
Let the first angle be represented as A
Now , the value of A is = 23.28°
Let the second angle be represented as B
Now , the value of B is = B
The angles A and B are complementary ,
So , A + B = 90° be equation (1)
Substituting the values in the equation , we get
23.28° + B = 90°
On simplifying the equation , we get
Subtracting 23.28° on both sides of the equation , we get
B = 90° - 23.28°
B = 66.72°
Therefore , the value of B is 66.72°
Hence , the measure of the angle is 66.72°
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