Answer:
5 miles = $8
8 miles = $11
20 miles = $23
Step-by-step explanation:
If admission is 3 dollars, then we already know that is the minimum we have to pay. The rest of the money we spend on the trolley depends on how many miles we travel on it. If each mile is 1 dollar, then we can use a variable to represent the number of miles since there are numerous possible answers.
The basic equation to represent the scenario is:
3 + x
Since x represents the amount of miles traveled, we can replace it with 5, 8, or 20.
3 + 5 = 8 dollars
3 + 8 = 11 dollars
3 + 20 = 23 dollars
multiply 2 by r, then multiply 9 by the result
Answer:
2×r=2r
2r×9=18r
Hope this helps:)
Answer:
9(2r)
Step-by-step explanation:
2×r =2r
9×2r can be written as 9(2r)
We could write this as 18r but it is best to leave it at 9(2r)
If angle 4 has a measure of 42° in the given diagram, what is the measure of angle 6?
Answer:
138 degrees
Step-by-step explanation:
its a cointerior angle so the angles add up to 180
so 180 - 42 = 138
Answer:
138°Step-by-step explanation:
If angle 4 has a measure of 42° in the given diagram, what is the measure of angle 6?
T is a flat angle (180°)
angle 4 = angle 8
angle 2 = angle 6
180 - 42 = 138°
please help me ASAP!!!!
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hope this helpa
What is the value of x?
Enter your answer as a decimal in the box.
Answer:
22.5
Step-by-step explanation:
[tex]\frac{15}{6} = \frac{x}{9}[/tex]
cross multiply
15x = 6*9
15x = 54
devide 15 from both sides
x = 22.5
can someone help me?
Answer:
5,184
Step-by-step explanation:
multiply each unit by 6 and then you end up with 12, 24, and 18. Then you multiply all these answer by each other and get 5,184.
what is 8 ÷ 3/4 ? and 11 ÷ 2/5?
Answer:
10 2/3 = 10.6667
27 1/2 = 27.5
Step-by-step explanation:
8 ÷ 3/4
Convert any mixed numbers to fractions.
Then your initial equation becomes:
[tex]\frac{8}{1}[/tex] ÷ [tex]\frac{3}{4}[/tex]
Applying the fractions formula for division,
[tex]=\frac{8*4}{1*3}[/tex]
=[tex]\frac{32}{3}[/tex]
Simplifying 32/3, the answer is
[tex]10 \frac{2}{3}[/tex]
Decimal Form = 10.6667
=================================================================
11 ÷ 2/5
Convert any mixed numbers to fractions.
Then your initial equation becomes:
[tex]\frac{11}{1}[/tex] ÷ [tex]\frac{2}{5}[/tex]
Applying the fractions formula for division,
[tex]=\frac{11*5}{1*2}[/tex]
=[tex]\frac{55}{2}[/tex]
Simplifying 55/2, the answer is
27 1/2
Decimal Form = 27.5
[RevyBreeze]
Yesterday, there were q variants of a strain of bacteria. Today there are q^2 variants of the bacteria. There are 900 variants today. How many variants were present yesterday?
Answer:
30
Step-by-step explanation:
Since there are 900 today, and the variants square each day, we can take the square root of 900.
[tex]\sqrt{900} =30[/tex]
900 = q^2, so q = 30, so yesterday there were 30 variants
9 X = 36 : i suck at find the missing factor pls HELP
Find the product. -2x(x2 - 3) -2 x3 - 6 x -2 x2 6 x 6 x3 -2 x3 6 x.
Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex]-2x(x^2 - 3)[/tex] is [tex]-2x^3 + 6x[/tex]
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
The product result of the given expression is
[tex]-2x(x^2 - 3) = -2x^{1 + 2} + 6x = -2x^3 + 6x[/tex]
It is because when bases are same and there is multiplication, then powers add up, so we have: [tex]a^b \times a^c = a^{b+c}[/tex]
Thus,
The product of [tex]-2x(x^2 - 3)[/tex] is [tex]-2x^3 + 6x[/tex]
Learn more about product of polynomials here:
https://brainly.com/question/9106484
My little brother spent $53 on comic books and magazines. He bought 17 items. If comic books cost $4 and magazines cost $3, how many of each item did my brother buy?
Answer:
comic books = 2
magazines = 15
Step-by-step explanation:
Let c = number of comic books bought
Let m = number of magazines bought
He bought 17 items, so
c + m = 17
Comic books cost $4 each and magazines cost $3 each.
He spent $53 on comic books and magazines, so
4c + 3m = 53
Rearrange c + m = 17 to make m the subject:
m = 17 - c
Substitute m = 17 - c into 4c + 3m = 53 and solve for c:
4c + 3(17 - c) = 53
⇒ 4c + 51 - 3c = 53
⇒ c = 2
Substitute c = 2 into m = 17 - c to and solve for m:
m = 17 - 2 = 15
Find the value of x.(all lengths are in cm).
Answer:
Step-by-step explanation:
This is a basic right angle problem relating to Pythagoras theorem as one approach.
we know.
[tex]a^2+b^2=y^2[/tex]
(letting the hypotenuse of the left triangle as y)
then,
[tex]7^2+8^2=y^2\\y=\sqrt{113}[/tex](neglecting negative root)
now since you know the value of y use the same formula to find the value of x. Keep in mind the identification of opposite , adjacent and hypotenuse sides.
Elena's aunt bought her a $150 savings bond when she was born. When Elena is 20 years old, the bond will have earned 105% in interest. How much will the bond be worth when Elena is 20 years old?
The worth of the bond is $307.50.
What is the worth of the bond?The worth of the bond is the sum of the bond when it was bought and the interest earned on the bond.
Worth of the bond = interest rate + value when the bond was bought
Interest = 105% x $150
1.05 x $150 = $157.70
Worth of the bond = $157.70 + $150 = $307.50
To learn more about interest, please check: https://brainly.com/question/26164549
A wooden box has the shape of a rectangular prism. The inside of the box is also a rectangular prism. What is the volume of the solid part of the box?
Answer:
1560
Step-by-step explanation:
25 x 8 x 10 - 22 x 5 x 4 = 2000 - 440 = 1560
helpppp asap please!!!!
Answer:
Angle at x is 75°
Step-by-step explanation:
Data :
Angle at A = 65°
Angle at B = 40°
According to the porperty of triangle we know that total interior angle a triangle has is 180° irrespect of type or size
A + B + C = 180
65 + 40 + C = 180
C = 180 - 65 - 40 = 75°
Mark brainliest if you understand
after 18 years, Rajesh will be 4 times as old as he is now. His present age is.....
Answer:
his present age is 6??
Step-by-step explanation:
correct me if im wrong^^
What is the area of this parallelogram?
A=1912 ft²
A = 42 ft²
A=6112 ft²
A=7134 ft²
Answer:
[tex]A=71\dfrac34 \ \ \textsf{ft}^2[/tex]
Step-by-step explanation:
Area = base x height
⇒ A = 10.25 x 7 = 71.75 = 71 3/4 ft²
Answer:
71 3/4 ft²
Step-by-step explanation:
the area is the product of the base (10 1/4) and height (7)
10.25 x 7 = 71 3/4 ft²
Write the point slope form of the equation of the line through the given point and slope
Step-by-step explanation:
the point-slope form in general is
y - y1 = m(x - x1)
where (x1, y1) are the coordinates of a point, and m is the slope.
so, we have
y - -1 = 4/3 × (x - 3)
or simplified
y + 1 = 4/3 × (x - 3)
Answer:
[tex]y + 1 =\frac{4}{3} (x-3)[/tex]
Step-by-step explanation:
Pre-SolvingWe are given that a line contains the point (3, -1), and has a slope of [tex]\frac{4}{3}[/tex].
We want to write the equation of this line in point-slope form.
Point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1 ,y_1)[/tex] is a point.
SolvingSince we are already given the slope and the point of the line, we can plug these values into the formula to get the equation.
Let's start with the slope; replace m with [tex]\frac{4}{3}[/tex] in the formula.
[tex]y-y_1=\frac{4}{3}(x-x_1)[/tex]
Now, replace 3 as [tex]x_1[/tex] and -1 as [tex]y_1[/tex]. Remember that the formula has subtraction in it.
[tex]y--1=\frac{4}{3} (x-3)[/tex]
This can be simplified to become:
[tex]y + 1 =\frac{4}{3} (x-3)[/tex]
Topic: writing the equation of the line
See more: https://brainly.com/question/16888568
HELP PLEASE THERES A PIC I PUT IN
Answer:
(3, 10)
Step-by-step explanation:
f(3) means substitute the value of x = 3 into f(x)
[tex]\implies f(3) = (3 \times 3) + 1 = 10[/tex]
Therefore, when x = 3, y = 10
So the ordered pair is (3, 10)
[tex]\\ \tt\longmapsto f(x)=3x+1[/tex]
[tex]\\ \tt\longmapsto f(3)=3(3)+1=9+1=10[/tex]
Pair is (3,10)
How do I do this (Factoring polynomials, look for gcf first)
Answer:
Find the GCF of all the terms in the polynomial.Express each term as a product of the GCF and another factor.Use the distributive property to factor out the GCF.
Convert the binary number 10110011 into a decimal number.
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A town is designing a rectangular park that will be 600 feet wide by 1000 feet long. On a scale drawing, the dimensions of the park are 12 inches wide by 20 inches long. A rectangular area of the park for swing sets is 0.5 inches wide by 2 inches long on the scale drawing.
What is the actual length of the swing set area of the park?
Enter your answer in the box.
The actual length of the swing set area of the park is [blank]
feet.
Answer:
The dimensions of the park on the scale drawing are 12 inches by 20 inches
The actual dimensions are given as:
Park = 600 feet by 1000 feet
Swing set = 25 feet by 100 feet
The dimension of the swing set on the scale drawing is given as: 0.5 inch by 2 inches
The above means that, the scale factor (k) is:
--- i.e. divide the scale measurement by the actual measurement
Evaluate both equations
So, we have:
Multiply the scale factor by the dimensions of the park, to get the scale measurement
Hence, the dimensions of the park on the scale drawing are 12 inches by 20 inches
Read more about scale measurements at:
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Step-by-step explanation:
Amanda is looking out her window and spots a wild turkey in the yard. The turkey is 43 feet from the house at an angle of depression of 72 degrees. How high up is Amanda's window? show proof of it by making a drawing related to angle of elevation
Answer:
29 if I’m Wrong I’m sorry
Step-by-step explanation:
what is the slope of the line that passes through the points (-9,10) and (-13,13)
Answer:
-3/4
Step-by-step explanation:
The slope of line passes through the points (-9,10) and (-13,13) is -3/4.
what is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
(-9,10) and (-13,13)
So, slope= (13 - 10)/ ( -13 + 9)
slope= 3 / (-4)
slope= -3/4
Hence, the slope of line is -3/4.
Learn more about slope here:
https://brainly.com/question/3605446
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Researchers estimate that 21.5% of men and 17% of women smoke cigarettes.1
The rate of new cases in 2008 showed that men develop lung cancer more often than women (70.2 and 50.5 cases per 100,000 persons, respectively).2
Smoking, a main cause of small cell and non-small cell lung cancer, correlates to 90% and 80% of lung cancer deaths in men and women, respectively.3 That is, 90% of men who are diagnosed with lung cancer are active smokers, and 80% of women who are diagnosed with lung cancer are active smokers.
1. What answer do you predict? Why? (2 points)
2. Given what you know about probability, how can you determine if smoking and lung cancer are related? (2 points)
Analyze the Data:
3. What is the probability that a randomly chosen man is a smoker? (1 point)
4. What is the probability that a randomly chosen man will be diagnosed with lung cancer? (1 point)
5. Given that a man has lung cancer, what is the probability that he is a smoker? Write this event with the correct conditional notation. (2 points)
6. What is the probability that a randomly selected man will be a smoker and be diagnosed with lung cancer? (2 points)
7. For a randomly selected man, are the events diagnosed with lung cancer and smoker independent events? Support your answer with probabilities. (2 points)
Consider the Case for Women:
8. For a randomly selected woman, are the events diagnosed with lung cancer and smoker independent or conditional? Support your answer with probabilities. (4 points)
Making a Decision:
9. What can you conclude about smoking and lung cancer? Are they conditional or independent events? (2 point)
10. Some people who have never smoked develop lung cancer. Does this disprove the evidence? (1 point)
Answer: Given what i know about probability, you can determine if smoking and lung cancer are related by testing a group of smokers and non smokers and finding out the percent of each that develope lung cancer and the percent that dont for both
Step-by-step explanation:
Help me with geometry please
Answer:
waait Im ma wriiting
Step-by-step explanation:
hope it helps
All Philippines Tamaraw are Mammals
What is the statements
Answer:
The tamaraw or Mindoro dwarf buffalo (Bubalus mindorensis) is a small hoofed mammal belonging to the family Bovidae. It is endemic to the island of Mindoro in the Philippines, and is the only endemic Philippine bovine.
PLSSSS HELP ASAP!!!!!
It's 360 feet (The person above)
Answer:
360 ft squared
Step-by-step explanation:
you have 3 (2 shapes but one is done twice)
2 rectangles and a larger rectangle
the 2 rectangles
3 is the width, and 15 is the length
15*3 = 45 * 2 (for the other one)
and you get 90ft squared
then you have the larger rectangle. it is 15 feet wide and 18 in length (15+3)
15*18 = 270
270 ft squared + 90 ft squared = 360 ft squared
1. What is the measure of
Need help with math! Margin of error
Answer:
See below
Step-by-step explanation:
Problem 4
[tex]H_0:p=0.40\\H_a:p>0.40[/tex]
Problem 5
[tex]H_0:p=0.42\\H_a:p<0.42[/tex]
Make sure to read the problems and translate it into math
A clearance rack is marked as 60% off the regular price to be taken at the register. If a jacket on the clearance rack is marked $239. 99, what will it ring up for at the register? a. $14. 40 b. $60. 00 c. $96. 00 d. $143. 99.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{60\% of 239.99}}{\left( \cfrac{60}{100} \right)239.99}\implies 143.994~\hfill \underset{\textit{sale price}}{\stackrel{239.99-143.994}{\approx 96}}[/tex]