Rebecca's direct route from her house to the library is approximately 1.35 miles, calculated using the Pythagorean theorem with her eastward walk of 0.5 miles and northward walk of 1.25 miles (2 blocks east and 5 blocks north, each block being 1/4 mile).
To find the direct route from Rebecca's house to the library, we can use the Pythagorean theorem since the distance forms a right triangle.
First, we calculate the distance Rebecca walked east: 2 blocks * (1/4 mile/block) = 1/2 mile.
Then, we find the distance she walked north: 5 blocks * (1/4 mile/block) = 5/4 miles.
Next, we square both distances: (1/2)^2 = 1/4 and (5/4)^2 = 25/16.
Now, we add these squares together: 1/4 + 25/16 = 16/64 + 100/64 = 116/64.
Taking the square root gives us the direct route distance: √(116/64) ≈ √1.8125 ≈ 1.35 miles.
So, the direct route from Rebecca's house to the library is approximately 1.35 miles.
In a bicycle store, $500 bicycle is marked get a "30% discount". What is the sale price of the bicycle?
The sale price of the bicycle in a store is $350.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
The marked price of bicycle = $500
Discount percentage = 30% = 0.30
Now, discount price = 500(0.30)
⇒ $150
The sale price of the bicycle can be found as
Sale price = Marked price - discount price
⇒ Sale price = 500 - 150
⇒ Sale price = $350
Hence we can conclude that the sale price of the bicycle in a store is $350.
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The perimeter of a pentagon is 20t+7. Four sides have the following lengths: 6t, 2t, 4t-5, and 5t+1.What is the length of the fifth side?
The length of the fifth side is -59/3 units.
How to calculate the length?The perimeter of a pentagon is the sum of the lengths of all five sides.
We know that the four sides have lengths of 6t, 2t, 4t-5, and 5t+1. Let's add these together:
6t + 2t + (4t-5) + (5t+1) = 17t - 4
We also know that the perimeter is equal to 20t+7. So we can set these two expressions equal to each other and solve for the fifth side:
17t - 4 = 20t + 7
Subtracting 17t from both sides, we get:
-4 = 3t + 7
Subtracting 7 from both sides, we get:
-11 = 3t
Dividing both sides by 3, we get:
-11/3 = t
Now that we know the value of t, we can find the length of the fifth side by substituting t back into one of the expressions for the sides. Let's use the expression for the third side, which is 4t-5:
4t - 5 = 4(-11/3) - 5 = -44/3 - 15/3 = -59/3
So the length of the fifth side is -59/3 units.
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Best Answer gets brainliest, measurement isn't my cup of tea in math.
carl wants to buy a television that costs $500, including taxes. To pay for the television, he will use a payment plan that requires him to make a down payment of $125, and then pay $72.50 each month for 6 months. What is the percent increase from the original costs of the television to cost of the television using the payment plan?
Answer:
($560-$500) / $500 * 100%= 12%
Step-by-step explanation:
Hope it helps
The first step to solve the equation x/4 - 3/4 = 16 is shown below?
x/4 - 3/4 + 3/4 = 16 + 3/4
A.Addition Property of Equality
B.Subtraction Property of Equality
C.Multiplication Property of Equality
D.Division Property of Equality
Answer:
The first step to solve the equation Addition Property of Equality.
Step-by-step explanation:
Given the equation
[tex]\frac{x}{4}-\frac{3}{4}=16[/tex]
we have to find the first step to solve the above equation.
To solve the above equation we have to combine the like terms here we have to combine the constant terms.
[tex]\frac{x}{4}-\frac{3}{4}=16[/tex]
[tex]\text{Therefore, to solve the equation we have to add }\frac{3}{4}\text{ on both sides}[/tex]
[tex]\frac{x}{4}-\frac{3}{4}+\frac{3}{4}=16+\frac{3}{4}[/tex]
[tex]\frac{x}{4}=\frac{67}{4}[/tex]
[tex]x=67[/tex]
Hence, the first step to solve the equation is the
Addition Property of Equality
Complete the number sentence to solve. Enter the answer in simplest form. Two students share 3 granola bars equally. How many granola bars does each student get?
Which would you measure in kilograms?
a. the mass of a butterfly
b. the capacity of a bottle
c. the mass of a basketball
d. the length of a river
Final answer:
Mass of a basketball is measured in kilograms.
Explanation:
Mass is a measure of the amount of matter an object contains, and in this case, the mass of a basketball would be measured in kilograms.
Kilograms are the appropriate unit for measuring mass as they are based on the SI unit of mass, which is the kilogram.
What are the dimensions of the rectangle shown below? Remember to use the axes on the coordinate grid to help you. 6 units × 4 units 8 units × 6 units 12 units × 8 units 18 units × 12 units
Answer:
6 units
Step-by-step explanation:
Hansel makes the following statement:
"I have an 80% chance of being selected as the captain of the baseball team and a 10% chance of being elected student body president."
What is the probability that Hansel will be selected as the captain of the baseball team and will be elected student body president?
A package of hot dogs cost $2 and a package of hamburger cost $8. You bought a total of 11 packages of meat and you spent $52. How many packages of hotdogs did you buy? Use a system to solve. 6 packages 4 packages 7 packages 5 packages
Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply.
A. Each pair of vertical angles is congruent.
B. Each pair of corresponding angles is congruent.
C. Each pair of supplementary angles is congruent.
D. Each pair of alternate interior angles is congruent.
A teacher asked the class to solve the equation 3(times+2)= 21 Robert wrote 3 times + 6=21 as his first step. Which property did he use.
1. Associative property
2. Commutative property
3. Distributive Property
4. Zero property of addition
Using the distributive property, which of the following expressions is equivalent to 5(3 + 5y)?
Answer:
15+25y
Step-by-step explanation:
I did this test!
have a great day:D
How do u know that the sum of -2(3/4) and 5/6 is rational?
A ramp has a rise of 10 feet and run of 50 feet find the slope
The slope with the given rise and run is 1/5.
Given that, a ramp has a rise of 10 feet and a run of 50 feet.
We need to find the slope.
What is the slope?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of a line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points. In general, to find the slope of a line, we need to have the values of any two different coordinates on the line.
Now, slope=rise/run
=10/50
=1/5
Therefore, the slope is 1/5.
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See pic attached ... Urgent
Answer:
3) y = -1 + (1/2)x
This is a linear function.
4) y = 1.7(4^x)
This is an exponential function.
A circle flower garden has a radius of 4.5 feet. What is the circumference of the flower garden
The verticals of a parallelogram are G(-8,3), R(-7,6),A(-3,6), and M(-4,3). Graph GRAM and G’R’A’M’, it’s image after a translation 13 units right and 2 units up
The image of parallelogram GRAM, G'R'A'M', after a translation 13 units right and 2 units up is formed by the points G'(5, 5), R'(6, 8), A'(10, 8), and M'(9, 5).
To graph the parallelogram GRAM and its image G'R'A'M' after a translation 13 units right and 2 units up, follow these steps:
Plot the points G(-8,3), R(-7,6), A(-3,6), and M(-4,3) to form the parallelogram GRAM.
Calculate the new coordinates for G', R', A', and M' after the translation. You'll add 13 units to the x-coordinates (rightward) and 2 units to the y-coordinates (upward):
G'(-8 + 13, 3 + 2) = G'(5, 5)
R'(-7 + 13, 6 + 2) = R'(6, 8)
A'(-3 + 13, 6 + 2) = A'(10, 8)
M'(-4 + 13, 3 + 2) = M'(9, 5)
Plot the new points G'(5, 5), R'(6, 8), A'(10, 8), and M'(9, 5) to form the parallelogram G'R'A'M'. These points will be the image after the translation.
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Henry is making a recipe for biscuits. A recipe calls for 5/10 kilogram flour and 9/100 kilogram sugar .
If Henry measures correctly and combines the two amounts , how much flour and sugar will we have
Answer:
5/10 + 9/100 = (50 + 90)/100 = 140/100
= 1.4 kilograms
the quotient of 300 and the quantity of x times 2
Kim paycheck was $257.20. She put 1/4 of her paycheck into a savings account and used 1/3 of what was left to pay bills. How much money does she have remaining from her paycheck
shannon uses 30 inches of ribbon to make one bow how many feet of ribbon are needed to make 10 bows
Rectangle ABCD is congruent to rectangle A"B"C"D" .
Which sequence of transformations could have been used to transform rectangle ABCD to produce rectangle A"B"C"D" ?
A) Rectangle ABCD was reflected across the y-axis and then across the x-axis.
B) Rectangle ABCD was translated 8 units left and then 7 units down.
C) Rectangle ABCD was rotated 180° around the origin and then translated 7 units down.
D) Rectangle ABCD was translated 2 units left and then 3 units down.
Answer:
B
Step-by-step explanation:
A shooting gallery game awards the player 2 points for hitting a stationary duck-target, and 3 points for hitting a moving duck-target. Escobar hit ten targets, and scored 23 points. How many stationary targets did he hit? How many moving targets did he hit?
What is the approximate volume of the cylinder use 3.14 for TT
A real estate agent spends $79.95 each month for cell phone service. About how much money does the agent spend for 48 months
Which point names the ordered pair (–5, –3)? A. Point A B. Point B C. Point C D. Point D
explain why the graph of the function y = 3x + 40 will never intersect the graph of the function y = 3x + 35 .
A restaurant buys a freezer in the shape of a rectangular prism. The dimensions of the freezer are shown. What is the volume of the freezer?
Dimensions- 36 in, 24 1/2 in, 72 1/2 in.
Please explain clearly how you got your answer
May painted 4 out of 8 equal parts of a poster board blue Jared painted 2out of 4 equal parts of a same size poster dosed red write traction’s to show which part of the poster board each person painted