Answer:
Courtney's walking speed = 3.33mph
Brandi's walking speed = 4.33 mph
Step-by-step explanation:
Let x = Courtney's walking speed
then
(x + 1) = Brandi's walking speed
:
Time = Distance/speed
Brandi walks 6.5 mi time = Courtney walks 5 mi time
6.5/x + 1 = 5/x
Cross multiply
6.5x= 5(x+1)
6.5x= 5x + 5
6.5x - 5x = 5
1.5x = 5
x = 5/1.5
x = 3.33 mph is Courtney's walking speed
Note that:
(x + 1) = Brandi's walking speed
3.33mph + 1 = 4.33mph
Therefore,
Courtney's walking speed = 3.33mph
Brandi's walking speed = 4.33 mph
The Courtney's walking speed = 3.33 mph. Brandi's walking speed = 4.33 mph.
We have given that,
[tex]6.5x - 5x = 5[/tex]
Courtney's walking speed = 3.33 mph
Brandi's walking speed = 4.33 mph
Let x = Courtney's walking speed
then (x + 1) = Brandi's walking speed
What is the formula time?Time = Distance/speed
Brandi walks 6.5 mi time = Courtney walks 5 mi time.
[tex]6.5/x + 1 = 5/x[/tex]
Cross multiply
[tex]6.5x= 5(x+1)[/tex]
Simplify parenthesis right side
[tex]6.5x= 5x + 5[/tex]
1.5x = 5
Isolate x.
x = 5/1.5
x = 3.33 mph is Courtney's walking speed
(x + 1) = Brandi's walking speed
3.33 mph + 1 = 4.33 mph
Therefore,Courtney's walking speed = 3.33 mph
Brandi's walking speed = 4.33 mph
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prove that a rectangle has congruent diagonals
Answer:
Look below
Step-by-step explanation:
Lets say there is a rectangle abcd
One way is: Triangle ABC is congruent to triangle DCB
Another way is: Since a rectangle is a parallelogram too, segment ab=dc. This is because opposite sides of a parallelogram are congruent.
And the number 6,497.4, the four next to the six is worth ___ times the other four.
A) 10
B) 100
C) 1,000
D) 10,000
The answer is : C
The answer is C because the four next to the six is three places to the left of the other four, its 1,000 times the other four
The students in Miss Jackson's class are collecting pennies they decide to displayed in his facts of 10 how many stacks can they make with 345 pennies how many single pennies will they have left
Answer:
34 stacks with 5 pennies left
Step-by-step explanation:
345 / 10 = 34.5
10 * 34 = 340
345 - 340 = 5
A drawing has a scale of 1 mm: 20 cm. What
is the scale factor of the drawing?
The scale factor of the drawing is 200.
Scale Factor of a DrawingThe first step to take when looking for the scale factor of a drawing is to ensure both measurements are on the same unit.
Given a scale for a drawing to be: 1 mm: 20 cm
1 cm = 10 m
Therefore:
20 cm = 200 mm
Scale factor = 200/1 = 200.
Therefore, the scale factor of the drawing is 200.
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If there are 34 successes in a sample with a size of 40, what is the sample
proportion?
Answer:
Step-by-step explanation:
0.85
Answer:
.85
Step-by-step explanation:
Find all solutions to the equation.
7sin2x - 14 sin x + 2 = -5
Answer:
Step-by-step explanation:First, group and combine like terms:
x
3
+
2
x
2
+
7
x
2
+
14
x
→
x
3
=
(
2
+
7
)
x
2
+
14
x
x
3
+
9
x
2
+
14
x
Next, factor out an
x
from each term in the expression:
(
x
⋅
x
2
)
+
(
x
⋅
9
x
)
+
(
x
⋅
14
)
→
x
(
x
2
+
9
x
+
14
)
Because
7
+
2
=
9
and
7
⋅
2
=
14
we can factor the quadratic term as:
x
(
x
+
7
)
(
x
+
2
)
The length, width and height of a rectangular prism is given as 15 cm, 10
cm and 5 cm respectively. What is the volume of the prism? *
A) 30cm3
B)150cm3
C)750cm3
D)750
Answer:
Its option C
Step-by-step explanation:
to find the volume you multiply the length, width and height together.
f(x)=6x+4. Find the inverse of f(x).
Answer:
c
Step-by-step explanation:
f(x)=6x+4
y=6x+4
x=6y+4
6y=x-4
y=(x-4)/6
f^-1(x)=(x-4)/6
Answer is Option-C
How to find Inverse Function:
1. First, replace f(x) with y. This is done to make the rest of the process easier.
2. Replace every x with a y and replace every y with an x.
3. Solve the equation from Step 2 for y.
(Here), Given
f(x) = 6x + 4
Let's inverse function be y.
y = 6x + 4
First step is to switch the positions of x and y.
Inverse: x = 6y + 4
x - 4 = 6y
=> y = (1/6) * (x - 4)
Option-C
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Find each unit rate.
140 mi in 3.5 h
a.
40 mi per h
c.
0.03 mi per h
b.
143.5 mi per h
d.
35 mi per h
Answer:
40
Step-by-step explanation:
took the test
Can somebody help me with this problem
Answer:
42/6=7
Step-by-step explanation:
You are dividing 42 by 6, since only 6 can sit at a table
!!!!!!!!!!!!!!!!!!!! Yes
Answer:it id blurry but i think it is c
Step-by-step explanation:
Answer:
Step-by-step explanation:
gggh
One Solution, Infinite Solutions, No Solution
Answer:
options?
Step-by-step explanation:
gib options
Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–1 + i) + (21 + 5i)? (–1 + i) + (21 + 5i) + 0 –1 + (i + 21) + 5i (–1 + 21) + (i + 5i) –(1 – i) + (21 + 5i)
Answer:
i think the answer is C, (-1 + 21) (i + 5i)
Step-by-step explanation:
i just took the test and got a 92% but it didnt tell me which ones were wrong. thats my best guess though. i hope it helps!
The expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that the expression is, (–1 + i) + (21 + 5i)
We have to find the expression that demonstrates the use of the commutative property of addition
According to the commutative property of addition, altering the order of addends has no impact on the sum.
Commutative law refers to either of two rules pertaining to the addition and multiplication of numbers that are expressed symbolically as a + b = b + a and ab = ba. These principles imply that rearranging the terms or factors of any finite sum or product has no effect on it.
Thus, the expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.
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In a highschool, for every 13 students that take English class, There are 16 students who take math class. How many students take math if there are 65 students in English class?
Answer:
80 students
Step-by-step explanation:
take 65 divide by 13, then x 5
Answer:
the correct answer would be 80 but if im wrong please correct me
Step-by-step explanation:
Congruence question will give brainliest
Answer:
A
Step-by-step explanation:
I will mark brainliest
Answer:
It's x = 12 (d)
Step-by-step explanation:
Subtract 4 on both sides: (16 - 4) - x = (4 - 4)
12 - x = 0
Then add x on both sides: 12 (- x + x) = (0 + x)
12 = x
Therefore x = 12
What are the interest cost and the total amount due on a six-month loan of $1,800 at 14.4 percent simple annual interest
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Principal (P)= $1,800
Number of periods (t)= 6 months
Monthly interest rate (r)= 0.144/12= 0.012
To calculate the interest to be paid and the total amount due, we need to use the following formula:
I= P*r*t
I= 1,800*6*0.012
I= $129.6
Total amount= $1,929.6
State the segment that represents the image, based on the information given.
The clockwise rotation of ΔAPG about 90 degree gives ΔCPA.
What is Rotation?Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.
Given:
We have ΔAPG.
Now, we have to rotate about 90 clockwise rotation.
Then, ΔAPG will overlap on ΔCPA
Hence, the clockwise rotation of ΔAPG about 90 degree gives ΔCPA.
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1/2 + 2/3 divided by 1/6 =
Answer:
4 3/6 or simplified 4 1/2
Step-by-step explanation:
Answer:
The answer is 4.5
Step-by-step explanation: Trust me thats the answer :)
Please help photo attached
Answer:
C
Step-by-step explanation:
conjugate just changes the sign of the radical (but nothing else)
An online book store has 182 boxes of books in its warehouse. Each box has 32 books.
Part A
Which equation represents the best estimate of the total number of books in the warehouse?
180 × 30 = 5,400
180 × 40 = 7,200
190 × 40 = 7,600
200 × 40 = 8,000
Part B
Is the best estimate in Part A an underestimate or an overestimate? Explain.
It is an underestimate. The rounded value for 182 is less than 182, and the rounded value for 32 is less than 32. The estimated product must be less than the exact product.
It is an overestimate. The rounded value for 182 is greater than 182, and the rounded value for 32 is greater than 32. The estimated product must be greater than the exact product.
It is an overestimate. The rounded value for 182 is greater than the rounded value for 32. The estimated product must be greater than the exact product.
It is an underestimate. The rounded value for 32 is closer to 32 than the rounded value for 182 is to 180. The estimated product must be less than the exact product.
Answer:
Part is A. Part B is underestimate. Part C (for the choose drop-off boxes are these: 1# < 2# < 3# <
Step-by-step explanation:
I took the test, hope it helps.
estimate the circumference of a circle that has a diameter of 13 yards
Answer:
aproximately 41 yards
Step-by-step explanation:
the equation equals 40.8 yards, rounded up is 41
Below is a diagram of Justin's garden. What is the area of his garden?
Answer:
230 ft²
Step-by-step explanation:
(20 * 10) + (26-20)*(10-7) = 200 + 18 = 218
(32*14) - 218 = 230
Draw 9:10 on a clock
Answer:
put the short hand at nine
Step-by-step explanation:
put the long hand and 10 minutes
Answer:
you can draw on your notebook and draw the clock
3x + y = 15 and y = 2x
The solution, given in (x,y) form is
Answer: (3, 6)
Step-by-step explanation:
3x + y = 15
y = 2x
Using substitution:
3x + 2x = 15
5x = 15
x = 15/5
x = 3
y = 2x
y = 2 * 3
y = 6
x = 3
y = 6
= (3, 6)
6 divided by 3 1/3?
1 20
2 1 4/5
3 2
Answer:
1 4/5
Step-by-step explanation:
what is another way to write 2.24 x 100
Answer:
224
Step-by-step explanation:
2.24*100 is 224
You can do it two ways.
First way: use a calculator
second way: multiply it out with normal multiplication
third way: Each zero is one place. There are two zeroes in 100. So in 2.24, you move the point (dot) to the right TWO TIMES. THat makes it 224.0, which is basically 224.
Find the point of intersection for the two functions through substitution. Show
your work
f(x) = -4x + 7
g(x) = 2x + 13
PLEASE HELP ME AND SHOW WORK I WILL MARK YOU THE BRAINLIEST!
This means x = -1 and y = 11 pair up together.
================================================
Work Shown:
Set the two functions equal to one another. Solve for x.
f(x) = g(x)
-4x+7 = 2x+13
7 = 2x+13+4x ... adding 4x to both sides
7 = 6x+13
7-13 = 6x .... subtract 13 from both sides
-6 = 6x
6x = -6
x = -6/6 ... divide both sides by 6
x = -1
Use this x value in either function
f(x) = -4x+7
f(-1) = -4(-1)+7
f(-1) = 11
or
g(x) = 2x+13
g(-1) = 2(-1)+13
g(-1) = 11
Whichever function you pick, the input x = -1 leads to the output y = 11.
The point of intersection is (x,y) = (-1, 11)
Visual confirmation is shown below.
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
4.5 would be the answer
Step-by-step explanation:
I need help with solutions
Answer:
10. b 11. b 12. b 13. a 14. b 15. b 16. a 17. a 18. b 19. a 20. a 21. b
Step-by-step explanation:
I'm pretty sure they are all right