Brandon is playing hide-and-seek with Katy and Tony. Katy is hiding 63 feet south of Brandon, and Tony is hiding due east of Katy. If Brandon is 87 feet from Tony, how far apart are Katy and Tony?
Answer:
60 feets
Step-by-step explanation:
Given that :
Using Pythagoras rule :
Hypotenus = sqrt(Adjacent^2 + opposite^2)
From the attached picture :
x² = 87^2 - 63^2
x^2 = 7569 - 3969
X^2 = 3600
Take the square root of both sides :
X = sqrt(3600)
X = 60 feets
Hence, Katy and Tony are 60 feets apart
What is the product?
3 6 1
2
24 OX|0
0 6 2
1
Answer:
[7]
[4]
[2]
Step-by-step explanation:
The first matrices has 3 rows and 3 columns.
The second matrices has 3 rows and 1 column.
Therefore, your result with have 3 rows and 1 column because the smaller row and column is used.
Solve:
[3 * 2 + 6 * 0 + 1 * 1] [7]
[2 * 2 + 0 * 0 + 0 * 1] = [4]
[0 * 2 + 6 * 0 + 2 * 1] [2]
PLS HELP ITS DUE TODAY!!
If you have 75 Dollars, then number of nickels, y
- y = 75 ÷ 20
- y = 20 x 75
- y = 20 ÷ 75
Answer:
y=20x75 is the answer
Step-by-step explanation:
You can basically eliminate other two choices since they are division
What is the answer to this equation: 40+40-20x0+3+125=
Answer:
208
Step-by-step explanation:
20 × 0 = 0
40 + 40 = 80
125 + 3 = 128
The given expression [tex]40+40-20\times 0+3+125[/tex] is reduced to 208 and this can be determined by using the arithmetic operations.
Given :
Expression - [tex]40+40-20\times 0+3+125[/tex]
The following steps can be used to evaluate the given expression:
Step 1 - Write down the expression.
[tex]=40+40-20\times 0+3+125[/tex]
Step 2 - First, multiply -20 by 0 in the given expression.
[tex]=40+40-0+3+125[/tex]
Step 3 - Now, Add 40 and 40 in the above expression.
= 80 + 3 + 125
Step 4 - Add 80 and 3 in the above expression.
= 83 + 125
Step 5 - Add 83 and 125 in the above expression.
= 208
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A pair of pants at Cool Topic originally cost $69. They are on sale for $52. What is the markdown? ________________ What is the percent markdown? (round to the nearest whole percent) _______________
Answer:
27.4%
Step-by-step explanation:
Step one:
given
original cost $69
seling price $52
Required
The percent reduction
Step two:
% reduction= change in price/original price*100
% reduction= 69-52/62*100
% reduction=17/62*100
% reduction= 0.274*100
% reduction= 27.4%
Approximately 10% of the population is left-
handed. If a school had a student population
of 1200 students, how many of them could
you expect to be right-handed?
Answer:
1080
Step-by-step explanation:
if 10 percent are left handed that means that 90 percent are right handed
number of people that are right handed = 0.9 × 1200number of people that are right handed = 1080Answer:
120
Step-by-step explanation:
10%=0.1
1200*0.1=120
If one mile equals 5,280 feet, how many feet are in 7 miles?
754 feet
1,326 feet
3,696 feet
36,960 feet
Answer:
36,960
Step-by-step explanation:
multiply 5280 by 7
which one is it???? .
Answer:
option A, I guess .....
.
Question1 of 10
Which is the best definition of an equilateral triangle?
O A. A triangle that has at least two congruent sides
OB. A triangle that has three congruent sides
O C. A triangle in which no two sides are congruent
SUBMIT
Find the slope of the line
that goes through the given
points
t
(1,2) (3,-4)
I
1
Answer:
Step-by-step explanation:
y2-y1=
x2-x1
2--4=6(negatives cancel out)
3-1=2
so 6/2 =3
3 is slope
Divya wants to rent a car to drive for the weekend. The rental company has a special that allows her to rent it for $200 for the weekend, plus $0.07 per mile. Divya only has $230. Write an inequality, solve, and determine her limitations when renting.
Answer:
[tex]200 + 0.07m \leq 230[/tex]
A maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.
Step-by-step explanation:
Given that:
Rent to be paid for the car in the weekend = $200
Charges to be paid per mile = $0.07
Total money available with Divya = $230
To find:
The inequality as per her limitations and solution to the problem.
Solution:
Let the number of miles for which Divya can drive = [tex]m[/tex] miles
Charges for one mile = $0.07
Charges for [tex]m[/tex] miles = $0.07[tex]m[/tex]
Total charges for renting and [tex]m[/tex] miles = Rental charges + Operational charges
Total charges for renting and [tex]m[/tex] miles = $200 + $0.07[tex]m[/tex]
These are charges must be lesser than equal to the amount of money available with Divya.
Therefore, we can write:
[tex]200 + 0.07m \leq 230[/tex]
Subtracting 200 from both the sides:
[tex]0.07m \leq 30[/tex]
Dividing both sides with 0.07:
[tex]m \leq \dfrac{30}{0.07}\\m\leq 428.6[/tex]
Therefore, a maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.
Gracie made cupcakes for a bake sale. She bought a cake mix for $4.79, a dozen
eggs for $2.99, a bottle of vegetable oil for $6.79, and a can of frosting for $5.25.
What were her total expenses for the cupcakes?
$21.45
$19.82
$18.92
Answer:
She spent 19.82 in all
Step-by-step explanation:
I added them
Simplify -8n - 7(6n - 6)
Answer:
-50n + 42
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
-8n - 7(6n - 6)
Step 2: Simplify
Distribute -7: -8n - 42n + 42Combine like terms: -50n + 42Find the value of x in a triangle 68 27
PLEASE HURRY!
Each statement describes a transformation of the graph of y= x.
Which statement correctly describes the graph of
y= x - 8?
A. It is the graph of y= x translated 8 units to the left
B. It is the graph of y= x translated 8 units up.
C. It is the graph of y=x translated 8 units down.
D. It is the graph of y=xwhere the slope is decreased by 8.
Answer:
c
Step-by-step explanation:
its in slope intercept form, or y=mx+b where b is the y intercept, i.e. how far down the line hits the y axis. m would be the slope but we dont need to worry about that for now. since b is the y intercept, -8 would mean 8 units down
Insurance company executives surveyed 200 young adults about their first motor vehicle. The results of the survey are given in the following two-way table.
A survey participant is randomly selected. Let F be the event that the participant’s first motor vehicle had four cylinders and let C be the event that the participant’s first motor vehicle was a car. What is the value of P(F or C)?
A) 0.59
B) 0.68
C) 0.71
D) 0.80
Answer:
C) 0.71.
Step-by-step explanation:
To find the probability of an event occurring, we need to sum up all the probabilities of the outcomes that satisfy the event. In this case, the event "F or C" is satisfied by all the outcomes in which the participant's first motor vehicle had four cylinders or was a car.
We can see from the table that 118 out of the 200 participants had their first motor vehicle as a car, so the probability of this event occurring is 118/200 = 0.59. Similarly, we can see that the probability of the event "first motor vehicle had four cylinders" occurring is (118 + 4) / 200 = 0.62.
Therefore, the probability of the event "F or C" occurring is the sum of the probabilities of these two events occurring, which is 0.59 + 0.62 = 0.71. The correct answer is therefore C) 0.71.
The value of the probability P(F or C) is 0.80, Option D is correct.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that a survey participant is randomly selected.
Let F be the event that the participant’s first motor vehicle had four cylinders and
let C be the event that the participant’s first motor vehicle was a car.
We need to find the value of P(F or C)
The number of P or c is 118+6+18+16+2
=160
The number of people in total are 200.
P(F or C )= 160/200
=0.80
Hence, the value of the probability P(F or C) is 0.80, Option D is correct.
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What value(s) of x will make x2 = 9 true? O A. 3 and -3 O B. 3 a O c. 3 O D. 81 and -81
Answer: D. 3
Step-by-step explanation:
3 times 3 equals 9 so the answer is 3
Answer:
The answer is 3.
Step-by-step explanation:
I took the quiz and got 100%
find the third proportion to 8 and 12
Answer:
let the third proportion be x.
then 8,12 and x are in proportion
then 8:12=12:x
8x=12×12
x=144/8=18
Step-by-step explanation:
Find the area of the equilateral triangle whose side length is a. Please help, 10 points.
Answer:
see explanation
Step-by-step explanation:
The area (A) of an equilateral triangle with side a is calculated as
A = [tex]\frac{a^2\sqrt{3} }{4}[/tex]
3. As a fundraiser the school has a pie eating contest. Matt eats 2.75 pies in 300 seconds. b. Use place value, multiplication with powers of 10, or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and dividend before dividing.
Answer:
Using equivalent fractions, the time Matt takes to eat 1 pie is 1200/11 which is the same as [tex]109\frac{1}{11}[/tex] seconds
Step-by-step explanation:
The number of pies Matt eats = 2.75 pies
The time duration Matt eats 2.75 pies = 300 seconds
Mathematically, the time duration for Matt to eat one pie is given as follows;
The time to eat 2.75 pies = 300 seconds
Dividing both sides of the equation by 2.75 gives;
The time to eat 2.75/2.75 pie = 300/2.75 seconds
2.75/2.75 = 1, therefore, we have;
The time to eat 1 pie = 300/2.75 seconds
The equivalent fraction of 3000/2.75 = 1200/11
Therefore;
The time Matt takes to eat 1 pie = 1200/11 seconds
2(3x-17) by using the distributive property
I need help determineing the next number.?!
Answer:
The next number is -12 ⇒ B
Step-by-step explanation:
Let us solve the question
∵ The pattern is 2,916, -972, 324, -108, 36, ....
→ All the given numbers are divisible by 3 because the sum of
the digits of each number can divide by 3
2+9+1+6 = 18 → multiple of 39+7+2 = 18 → multiple of 33+2+4 = 9 → multiple of 31+0+8 = 9 → multiple of 33+6 = 9 → multiple of 3∵ The pattern has positive and negative numbers
∴ Each next term = the previous term ÷ -3
→ Let us do that to find the missing number
∵ 2916 ÷ -3 = -972
∵ -972 ÷ -3 = 324
∵ 324 ÷ -3 = -108
∵ -108 ÷ -3 = 36
→ Find the next number by divide 36 by -3
∵ 36 ÷ -3 = -12
∴ The next number is -12
1+y=-4/5x-2
Solve for Y
Step-by-step explanation:
y=-4/5x-2-1
y=-4/5x-3
y/4=5x-3
(y/4)-3 =5x
(y-12)/4=5x
The solution for y will be y = -4/5x-3
What is expression?Numbers, symbols and operators grouped together that show the value of something.
Given an expression, 1+y=-4/5x-2
Solving for y, we get
1+y=-4/5x-2
y = -4/5x-2-1
y = -4/5x-3
Hence, The solution for y will be y = -4/5x-3
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What is the equivalent digit 3 in the number 792.134?
A 3 times 10
B 3/10
C 3 times 100
Or D 3/100
Juan wants to solve the equation below using the Distributive Property.
4(6 – x) = 12
What should Juan’s first step be?
A. Multiply 4 by x.
B. Subtract x from 6.
C. Distribute 4 to (6 – x).
D. Subtract 4 from both sides.
Answer:
C. Distribute 4 to (6 - x).
Step-by-step explanation:
Person above is right.
Juan’s first step should be C. Distribute 4 to (6 – x).
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
a(b + c) = a b + a c
(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)
We are given an equation as;
4(6 – x) = 12
Here Juan wants to solve the equation, using the Distributive Property.
thus, 4(6 – x) = 12
First step is to distribute 4.
4(6) – 4(x) = 12
Then solve;
24 - 4x = 12
x = 3
Hence, Juan’s first step should be C. Distribute 4 to (6 – x).
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Which of these does NOT represent the number of minutes in a hour?
Answer:
the question is cut in half
what is the domain and range
Answer:
0,1,2,3 is the domain
-2,1,2,4 is the range
Which of the numbers given below is an irrational number ?
0
2.14
2.14367.....................
Answer:
2.14367............. is a irrational number.What is the average rate of change of f over the interval -1
on a separate sheet of paper and upload the work as a photo. Show all
appropriate work necessary for full credit.
f(x)=
x² - x - 1
Answer:
Average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1
Step-by-step explanation:
We need to find average rate of change of f over the interval -1 < x < 1
The function given is: [tex]f(x)= x^2-x-1[/tex]
The formula used to find average rate of change is:
[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}[/tex]
We have, a = -1 and b = 1
Finding f(b) when b=1
[tex]f(x)=x^2-x-1\\f(1)=(1)^2-(1)-1\\f(1)=1-1-1\\f(1)=-1[/tex]
Now, finding f(a), when a= -1
[tex]f(x)=x^2-x-1\\f(-1)=(-1)^2-(-1)-1\\f(1)=1+1-1\\f(-1)=2-1\\f(-1)=1[/tex]
Now, putting values and finding average rate of change
[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}\\Average\:rate\:of\:change=\frac{f(1)-f(-1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-(1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-1}{1+1}\\Average\:rate\:of\:change=\frac{-2}{2}\\Average\:rate\:of\:change=-1[/tex]
So, average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1
Question 10 of 10
If f(x) = 4x - 12, what is f(2)?
O A. 4
B. -20
C.-4
O O O
D. 8
Answer:
Step-by-step explanation:
f(x) = 4x - 12
f(2) = 4*2 - 12
f(2) = 8 - 12
f(2) = - 4