Answer:
12 mph and 16 mph
Step-by-step explanation:
distance = speed * time
56 = s * 2 + (s - 4) * 2
56 = 2s + 2s - 8
56 = 4s - 8
64 = 4s
16 = s
s = 16
s - 4 = 12
Let the speed of the faster bike = X
The slower bike would be x - 4 ( 4 mph slower)
Multiply each speed by time and add to equal total distance:
2x + 2(x-4) = 56
Simplify:
2x + 2x -8 = 56
4x -8 = 56
Add 8 to each side:
4x = 64
Divide both sides by 4:
x = 64/4
x = 16
The faster bike rode at 16 miles per hour
The slower bike traveled at 16-4 = 12 miles per hour
fine the total surface area left in terms of pie
Answer:
200π cm²
Step-by-step explanation:
Applying,
TSA = πrl+πr²
TSA = π(r²+rl)............. Equation 1
Where TSA = Total surface area, r = radius of the base, l = slight height of the cone
To get l we apply pythagoras theorem
From the diagram,
l² = 15²+8²
l² = 225+64
l² = 289
l = √289
l = 17 cm
Given: r = 8 cm
Substitute these values into equation 1
TSA = π(8²+17×8)
TSA = π(64+136)
TSA = π(200)
TSA = 200π cm²
Arrange the following in ascending order. 1/2 1/4 3/4 1
Answer:
1/4
1/2
3/4
1
Step-by-step explanation:
1/2 = 0.5
1/4 = 0.25
3/4 = 0.75
1 = 1
Lorenzo bought several pounds of chocolate-covered peanuts and
gave the cashier a $20 bill. Write an expression for the amount of change he will
receive if p represents the cost of the peanuts
Answer:
20 - p
Step-by-step explanation:
If p represents the cost of the peanuts, it has to be subtracted from 20 to find how much change Lorenzo will receive.
So, set up the expression:
20 - p
The expression to represent how much change he will get is 20 - p
Someone help me please
Answer:
This is the answer48 cm²
Answer:
A = 44 cm²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
We require to find the missing segment of b₁
Using the tangent ratio in the right triangle
tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{adjacent}[/tex] = 1 , so
adjacent = 4
Then
b₁ = 4 + 8 + 2 = 14 , b₂ = 8 and h = 4 , then
A = [tex]\frac{1}{2}[/tex] × 4 × (14 + 8) = 2 × 22 = 44 cm²
factorise fully the following expression (x2-3x-10)
Answer:
(x - 5)(x + 2)
Step-by-step explanation:
Which ordered pair (a,b) is the solution to the given system?
Answer:
1,3 3,1
Step-by-step explanation:
HELP PLSS FAST PLSSSSS
Answer:
function a is linear and its equation is y=(5/3) x
The product of two rational numbers is 2/5 , if one of them is -8/25, find the other.
With steps explained.
Answer:
x=-5/4
Step-by-step explanation:
Let the number be x and y
x.y=2/5 (The product of two rational numbers is 2/5)
if one of the number is -8/25
x.(-8/25)=2/5
(Here Substituted the value of one of the number yoy may substitute the value -8/25 in place of x
x=(2/5) *(-25/8)
x=-5/4
[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]
Product of two rational numbers = [tex]\frac{2}{5} [/tex]
One of the number = [tex]\frac{-8}{25} [/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]
The other number.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
The other number is [tex]\frac{ - 5}{4} [/tex].
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
Let the other number be [tex]x[/tex].
As per the question, we have
[tex]Product \: \: of \: \: the \: \: two \: \: rational \: \: numbers = \frac{2}{5} \\[/tex]
[tex]➺ \: \frac{ - 8}{25} \times x = \frac{2}{5}\\ [/tex]
[tex]➺ \: x = \frac{2}{5} \times \frac{-25}{ 8}\\ [/tex]
[tex]➺ \: x = \frac{-50}{ 40} \\[/tex]
[tex]➺ \: x = \frac{ - 5}{4}\\ [/tex]
[tex]\sf\purple{Therefore,\:the\:other\:number\:is\: \frac{ - 5}{4} .}[/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]
[tex]➺ \: \frac{ - 8}{25} \times \frac{ - 5}{4} = \frac{2}{5} \\[/tex]
[tex]➺ \: \frac{40}{100} = \frac{2}{5}\\ [/tex]
[tex]➺ \: \frac{2}{5} = \frac{2}{5}\\ [/tex]
➺ L. H. S. = R. H. S.
Hence verified.
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}[/tex]
20 marbles in a bag. 4 are red, 5 are blue, 5 are black, 4 are white and 2 are yellow. What is the probability that he pulls out a red marble?
Answer:
1/5
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
probability that he pulls out a red marble = number of red marbles / total number of marbles
= 4/20 = 1/5
(12 POINTS)If you can’t help out it would mean so much ty!!!
Which equation represents the graphed function?
y = –2x + 3
y = 2x + 3
y = x + 3
y = –x + 3
Answer B
1c.) Mr. Armstrong earns $6.45 per hour. He is paid $7.95 for each hour he works over 40 hours in a week. (a)How much is he paid for a 43 hour week? (b)How many hours did he work if he received $313.65? SHOW ALL WORKING OUT *
find h r=4 l=9
im lost
42, 43, 44, 44, 49, 40, 39
What is the mean?
Answer:
43
Step-by-step explanation:
To find the mean, add up all the numbers
(42+ 43+ 44+ 44+ 49+ 40+ 39)=
301
Then divide by the number of terms
301/7
43
Answer:
mean = 43
Step-by-step explanation:
Mean is given by
mean = sum of all numbers / total no. of terms
substitute the values
mean = 42 + 43 + 44 + 44 + 49 + 40 + 39 /
Divide ,
mean = 301 / 7
mean = 43
does anyone know how to do this
9514 1404 393
Answer:
y = -1/2x +4
Step-by-step explanation:
The y-intercept is where the line crosses the y-axis, at y=4.
The slope is found by following the line to the right until it meets another grid line crossing point. That is 2 units to the right and down 1 unit.
The slope is ...
m = "rise"/"run" = -1/2
Then the slope-intercept equation is ...
y = mx + b . . . . . slope m, y-intercept b
y = -1/2x +4
what is 5\8 divided by 1\4
Answer:
2.5
Step-by-step explanation:
Answer:
2 1/2
Step-by-step explanation:
5/8 ÷ 1/4
Copy dot flip
5/8 * 4/1
Rewriting
5/1 * 4/8
5/1 * 1/2
5/2
Writing as a mixed number
2 1/2
Solve for x : 3(2x - 1) - (4-x) = 2(2x + 10 )
Answer:
6x-3-4+x=4x+20
7x-7=4x+20
7x-4x=20+7
3x=27
X=27/3
X=9
Answer:
(6×-3)-(-4+×)=4×+20
6×-3--4+×=4×+20
6×+1+×=4×+20
6×-4×=20-1
2×=19
devide by two both sides
×=9.5
Drako found an emerald in a cave at a depth between Negative one-half and Negative 1 and two-thirds meters. Which number could represent the depth at which the emerald is located?
A number line going from negative 3 to positive 3 in increments of 1.
Negative 2 and one-third meters
Negative three-fourths meters
Negative one-fourth meters
Negative 1 and StartFraction 5 Over 6 EndFraction meters
Answer:
-3/4 meters could represent where the emerald is located in.
Step-by-step explanation:
Drako found an emerald in a cave at a depth between Negative one-half and Negative 1 and two-thirds meters. -0.75 or -3/4 could represent the depth at which the emerald is located.
Ignoring 12/6 date. . .Anyways, to find the answer first you have to look at all answers and figure out which negative numbers are between -1/2 and -1 2/3.
Long story short your answer is -3/4 meters :D
Part A The Oracle Arena has 6,800 seats. Tickets for 60% of the total number of seats were sold. How many tickets were sold? Show your work and write your answer in the box below. Remember to include the correct unit with your answer.
Answer:
Step-by-step explanation:
60% of the ticket were sold so just take 60% x 6,800 = 4080 (seats)
Are the following triangles similar, Explain your answer
Andre is running in an 80-meter hurdle race. There are 8 equally-spaced hurdles on the race track. The first hurdle is 12 meters from the start line and the last hurdle is 15.5 meters from the finish line. Estimate how far the hurdles are from one another. Do not include units (meters) in your answer. Round your answer to the nearest whole meter. plzzzzzzzzzzzzzzz help
Answer:
7.5 metres
Step-by-step explanation:
According to the Question,
Given,Andre is running in an 80-meter hurdle race. There are 8 equally-spaced hurdles on the race track. The first hurdle is 12 meters from the start line and the last hurdle is 15.5 meters from the finish line.Thus, the distance from the first hurdle to eighth hurdles is 80-(12+15.5) = 52.5m
Now, we have 8 Hurdle but the distance between each hurdle is equally divided in 7 parts . (Please find the diagram in Attachment)
So, 52.5 /7 ⇔ 7.5m far the hurdles are from one another.
Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2 -5 -8
b) -7 -12 -17 -22 -27
Compute the missing data in the table for the following exponential function f (x) = (one-fourth) Superscript x.
Answer:
[tex] F(4) = \frac {1}{256} [/tex]
Step-by-step explanation:
Given the following mathematical function;
[tex] F(x) = \frac {1}{4^{x}} [/tex]
When x = 1
[tex] F(1) = \frac {1}{4^{1}} [/tex]
[tex] F(1) = \frac {1}{4} [/tex]
When x = 2
[tex] F(2) = \frac {1}{4^{2}} [/tex]
[tex] F(2) = \frac {1}{4*4} [/tex]
[tex] F(2) = \frac {1}{16} [/tex]
When x = 3
[tex] F(3) = \frac {1}{4^{3}} [/tex]
[tex] F(3) = \frac {1}{4*4*4} [/tex]
[tex] F(3) = \frac {1}{4*4*4} [/tex]
When x = 4
[tex] F(4) = \frac {1}{4^{4}} [/tex]
[tex] F(4) = \frac {1}{4*4*4*4} [/tex]
[tex] F(4) = \frac {1}{256} [/tex]
When x = 5
[tex] F(5) = \frac {1}{4^{5}} [/tex]
[tex] F(5) = \frac {1}{4*4*4*4*4} [/tex]
[tex] F(5) = \frac {1}{1024} [/tex]
Please help me out this is hard .
Answer:
24.6
Step-by-step explanation:
take 72 degree as reference angle
using tan rule
tan 72 = opposite / adjacent
3.07 = x/8
3.07 * 8 = x
24.56 = x
24.6 = x
What is the x-value of point A?
1
6
4
ТА
2
-6
-4
-2
-8
х
-2
-4
-6
please help and hurry!!
Matthew grows wheat on his farm. One of his fields produced 66.8 bushels of wheat this year. If wheat is currently selling for $5.40 per bushel, how much will Matthew earn from this field?
Answer:
Mathew will earn $360.72 from his food
Step-by-step explanation:
We know that:
1 bushel of wheat = $5.40
And Matthew produced 66.8 bushels of heat this year
To find how much Matthew will earn from his field, multiply:
5.40 x 66.8 = 360.72
Therefore he will earn $360.72 from his field.
Hope thjs helps!
what are 2 consecutive odd integers whose sum is 36.
Two consecutive odd integers with a sum of 36 are 17 and 19.
Hope it helps you I'm from ph❤️
Answer:
Two consecutive odd integers with a sum of 36 are 17 and 19.
Step-by-step explanation:
hope i helped
What is the slope-intercept equation for the line below
Answer:
the answer is A
Step-by-step explanation:
Which are possible dimensions of the cylinder?
Answer:
B
Step-by-step explanation:
pls give me brainliest
Answer:
A cylinder is a three-dimensional figure like a prism, but with bases that are circles. A sphere is a three-dimensional figure in which all cross-sections in every direction are circles.
Option is B
Step-by-step explanation:
Anthony is building a rectangular shaped swimming pool with a perimeter of 80 feet. Determine a function A(w) that models the area of the top surface of the swimming pool in terms of width W. A(w)= For w>0
Answer:
[tex]A(w) = 40w - w^2[/tex]
Step-by-step explanation:
Given
[tex]P = 80[/tex] --- perimeter
Required
Define the area in terms of width
The perimeter of the pool is:
[tex]P =2(l + w)[/tex]
Where:
[tex]l\to length[/tex]
[tex]w\to width[/tex]
So:
[tex]80 =2(l + w)[/tex]
Divide by 2
[tex]40 =l + w[/tex]
Make l the subject
[tex]l = 40-w[/tex]
The area is then calculated as;
[tex]A(w) = l * w[/tex]
Substitute: [tex]l = 40-w[/tex]
[tex]A(w) = (40 - w) * w[/tex]
[tex]A(w) = 40w - w^2[/tex]
