Answer:
you divided and the answer is 1/6
Step-by-step explanation:
Answer:
1.) You would divide to solve this problem.
2.) Each runner will get 1/6 gallon of apple juice.
Step-by-step explanation:
I'm SO sorry for the late answer, but I do hope this helps! Have a good day and stay safe! :D
(I'm not sure on how to explain this answer, sorry!)
If the relation is a function, list the domain and range. If the relation is not a function, choose "not a function". C = {(9, 1) (8, -3) (7, 5) (-5, 3)} A: Domain: {9, 8, 7, -5} Range: {1, -3, 5, 3} B: Domain: {1, -3, 5, 3} Range: {9, 8, 7, -5} not a function
Answer:
A: Domain: {9, 8, 7, -5} Range: {1, -3, 5, 3}
Step-by-step explanation:
C = {(9, 1) (8, -3) (7, 5) (-5, 3)}
The domain is the inputs
Domain: { -5,7,8,9}
The range is the output
Range{ -3,1,3,5}
This is a functions since there is no input that goes to multiple outputs
sᴏʟᴠᴇ ɪᴛ ʙʏ sᴜʙsᴛɪᴛᴜᴛɪᴏɴ ᴍᴇᴛʜᴏᴅ
Answer:
x = 1
y = 1
Step-by-step explanation:
Given:
x/a + y/b = 1/a + 1/bx/a - y/b = 1/a - 1/bAdd up the two equations side-by-side, this will cancel y/b and 1/b:
x/a+x/a = 1/a+1/a2x/a=2/ax = 1Subtract the two equations side-by-side, this will cancel x/a and 1/a:
y/b+y/b = 1/b+1/b2y/b=2/by=1Answer:
x = 1, y = 1
Step-by-step explanation:
[tex] \frac{x}{a} + \frac{y}{b} = \frac{1}{a} + \frac{1}{b} .....(1) \\ \frac{x}{a} - \frac{y}{b} = \frac{1}{a} - \frac{1}{b} .....(2) \\ \\ let \: \: \frac{1}{a} = m, \:\:\&\: \: \frac{1}{b} = n \\ so \: equatin \: (1) \: reduces \: to: \: \\ \\ so \: equatin \: (1) \: reduces \: to: \: \\ mx + ny = m + n....(3)\\ and \: equatin \: (2) \: reduces \: to: \: \\ mx - ny = m - n....(4) \\ adding \: equations \: (3) \: (4) \\ mx + ny = m + n \\ mx - ny = m - n \\ - - - - - - - - - - \\ 2mx = 2m \\ x = \frac{2m}{2m} \\ \huge \red{ \boxed{x = 1}} \\ substituting \: x = 1 \: in \: equatin \: (3) \\ m \times 1 + ny \: = m + n \\ m + ny \: = m + n \\ ny = m + n - m \\ ny = n \\ y = \frac{n}{n} \\ \huge \purple{ \boxed{y = 1}}[/tex]
evaluate the expression
Answer:
-5
Step-by-step explanation:
We are given the expression:
[tex]\frac{1}{4} [-5+5(-3)][/tex]
and asked to evaluate.
We must solve this expression according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
Solve inside the brackets first. Multiply 5 and -3.
5 * -3= -15
[tex]\frac{1}{4} [-5+-15][/tex]
Add -5 and -15.
-5+-15= -20
[tex]\frac{1}{4} [-20][/tex]
Finally, multiply 1/4 and -20, or divide -20 by 4.
1/4 * -20 = -5 OR -20/4= -5
[tex]-5[/tex]
When evaluated, the expression 1/4 [ -5 +5(-3)] is equal to -5.
Fuad’s model racing car drives at an average speed of 3 feet per second. Fuad records the distances and times in a table like the one shown below. Speed of Model Race Car Distance (ft.) 3 Time (s) 1 At this rate, how long will it take the car to travel 21 feet?
Answer:
7.0 seconds
Step-by-step explanation:
i did the test but how i know this is bc 3 divided by 21 is 7
NOT 9
DON'T USE 9 AS THE ANSWER
Answer:
7.0 seconds
Step-by-step explanation:
To safely cross a bridge, the most a delivery truck can weigh is 4 tons. The empty truck and driver weigh a total of 5,690 pounds. How many pounds of cargo can the truck safely carry?
Answer:
Truck can safely carry 2310 pounds of cargo.
Step-by-step explanation:
Given the safety limit of weight to cross the bridge safely is 4 tons.
1 ton is equal to 2000 pounds.
so, 4 tons are equal to 2000 [tex]\times[/tex] 4 = 8000 pounds
Now, given that
weight of empty truck and driver = 5690 pounds
To find:
Weight of cargo that the truck can safely carry ?
Solution:
Total weight of the truck is actually the combined weight of the empty truck, the drive and the cargo carried in it.
So, Total Weight allowed = 8000 pounds = 5690 pounds + Weight of Cargo
Weight of Cargo = 8000 - 5690 pounds
Weight of Cargo = 2310 pounds
Truck can safely carry 2310 pounds of cargo.
2 + 10 = 24
3 + 6 = 27
7 + 2 = 63
5 + 3 = ????
40
Step-by-step explanation:2 + 10 = 24
2(2 + 10) = 2×12 = 24
3 + 6 = 27
3(3 + 6) = 3×9 = 27
7 + 2 = 63
7(7 + 2) = 7×9 = 63
5 + 3 = 40
5(5 + 3) = 5×8 = 40
50 points pls answer I will give Brainlyist
Answer:
point A: 2
point B: -3
your friend is incorrect
Step-by-step explanation:
Answer:
point A: 2
point B: -3
your friend is incorrect
Step-by-step explanation:
PLZ HELPP ÁLGEBRA BASICS 8(x + 5)=
Answer:
8x+40
Step-by-step explanation:
8*x=8x
8*5=40
=8x+40
Hope This Helped!!!
Answer: 8x+40
Step-by-step explanation:
x = y - 2
4x + y = 2
Answer:
x-y=-2.
4x+y=2.
Answer is x=4/3 or 1.333333333.
Substitute x into eqtn I.
4/3-y=-2.
y=4/3+2.
y=10/3=3.333333333.~3.33
Solve x^3 = 8/729 please answer
Answer:
x=2/9
Step-by-step explanation:
x^3=8/729
Hence,
x= cube root of (8/729)
x=cube root of 8
cube root of 729
x=2
9
Answer: decimal form : x=0.10475656
Step-by-step explanation:
Take roots of both sides and solve
Please help I will give out brainliest
Answer:
a. L.B. = 20.5
b. U.B. = 21.5
Step-by-step explanation:
Length is measured 21 cm correct to 2 significant figures
a. Lower bound of 21
= 20.5 < 21
= 20.5
b. Upper bound of 21
= 21 < 21.5
= 21.5
(7 thousands 3 tens) ÷ 10 =
Answer: 703
Step-by-step explanation:
This situation is the same as,
7,030 / 10 = 703
A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 72 yards, what are its dimensions?
what is the width? in yards
Answer:
Width= 12 yards
Length= 24 yards
Step-by-step explanation:
Perimeter of a rectangle= 2(length + width)
Let
w= width
Twice as long as it is wide
Length= 2w
Perimeter of the rectangle= 72 yards
Perimeter of a rectangle= 2(length + width)
72 = 2(2w + w)
72 = 4w + 2w
72 = 6w
Divide both sides by 6
72/6 = w
12= w
w=12
Therefore,
Width= 12 yards
Length= 2w
=2(12)
=24 yards
solve for x using zeros of function method
-x³+2x²+x-2=0
Answer:
x = - 1, x = 1, x = 2
Step-by-step explanation:
The coefficients of the polynomial sum to zero, that is
- 1 + 2 + 1 - 2 = 0
This indicates that x = 1 is a zero
let x = - 1, then
- (- 1)³ + 2(- 1)² + (- 1) - 2 = 1 + 2 - 1 - 2 = 0
Thus x = - 1 is a zero
let x = 2
- (2)³ + 2(2)² + 2 - 2 = - 8 + 8 + 2 - 2 = 0
Thus x = 2 is a zero
The 3 zeros are x = - 1, x = 1, x = 2
Solve for x: the quantity of x plus 16 all over 3 = 3x (1 point) a x = −7 b x = −13 c x = 8 d x = 2
Answer:
D. X=2
Step-by-step explanation:
Answer:
X=2
Step-by-step explanation:
2x - y2
Z-5
Evaluate when x = 2, y = 4
z=3
Answer:
Putting the value in x = 2 , y =4 in 2x - 2y we get,
2 × 2 - 4× 2= 4-8 = -4
Putting the value in z = 3 in z - 5 we get,
z - 5 = 3 - 5 = -2
explain about herb some lines
Answer:
Herbs are small plants that have a fleshy or juicy stem when they are young. The stems of some herbs develop hard, woody tissue when they grow old. Most herbs are perennials. This means that the tops of the plants die each growing season, but the roots remain alive and produce new plants year after year.
Step-by-step explanation:
A species of phytoplankton measures about 2 × 10−6 in. A grain of sand measures about 1 × 10−4 in. About how many times longer is the grain of sand than the phytoplankton? A. 20 times greater B. 50 times greater C. 100 times greater D. 200 times greater
Answer:
B. 50 times greater
Step-by-step explanation:
Given;
size of phytoplankton = 2 × 10⁻⁶ in
size of sand grain = 1 × 10⁻⁴ in
Determine how many times longer the grain of sand is than the phytoplankton.
Divide the sand size by the phytoplankton size, to find out how much greater the sand is.
This can be done by equating it as follows;
2 × 10⁻⁶ (y) = 1 × 10⁻⁴
[tex]y = \frac{1*10^{-4}}{2*10^{-6}} \\\\y = 50[/tex]
Therefore, the grain of sand is 50 times greater than the phytoplankton
B. 50 times greater
Wakaba buys some granola bars at $0.50 each and energy drinks at $2 each for a group hike. She buys twice as many granola bars as energy drinks. If she spends $27 in total, how many granola bars and energy drinks does she buy?
gronala bars:18
energy drinks:9
Step-by-step explanation:
$0.50 •18= $9
$2.00•9=$18
$9+$18=$27
f(x)=2x+1 find x if f(x)=16 . Please help with this
Answer:
[tex]x=15/2=7.5[/tex]
Step-by-step explanation:
So we have the function:
[tex]f(x)=2x+1[/tex]
And we want to find x such that:
[tex]f(x)=16[/tex]
To do so, substitute 16 for f(x):
[tex]f(x)=2x+1\\16=2x+1[/tex]
Subtract 1 from both sides. The right side cancels:
[tex](16)-1=(2x+1)-1\\2x=15[/tex]
Divide both sides by 2. The left side cancels:
[tex](2x)/2=(15)/2\\x=15/2=7.5[/tex]
The value of x is 7.5
Answer:
[tex]x=\frac{15}{2}[/tex]
Step-by-step explanation:
We are given the value of f(x). Insert this value into the original equation:
[tex]f(x)=16\\\\16=2x+1[/tex]
Solve for x. Subtract 1 from both sides:
[tex]16-1=2x+1-1\\\\15=2x[/tex]
Divide both sides by 2 to isolate x:
[tex]\frac{15}{2} =\frac{2x}{2} \\\\\frac{15}{2}=x[/tex]
When f(x) equals 16, x is equal to [tex]\frac{15}{2}[/tex]
An architect is planning to put a circular mosaic in the entry of a new building. The mosaic will be in the shape of a circle with radius of 6 feet. How many square feet of tile will be needed for the mosaic? (Round your answer up to the next whole number.)
Answer:
113 square feet
Step-by-step explanation:
Since the shape of the mosaic that the architect would be using is circular is shape, the formula to apply to solve this question is area of a circle.
The formula for the area of a circle = πr²
In the above question,Area if a circle = πr²
radius of the circle = r = 6 feet
πr² = π × 6²
113.09733553 square feet
Approximately to the next whole number ≈ 113 square feet.
Therefore, the number in square feet of tiles needed for the mosaic is 113 square feet
Seven more than twice a number x is forty-seven
Step-by-step explanation:
Seven more than twice a number is 47. Let's break down this sentence into numbers so you can see what's going on.
"Seven more than twice a number" - This tells you that there is a number, let's call it y, that is 7 more than twice a different number, lets call this x. So in equation form this is y = 7 + 2x. Hmm this seems a little tricky, how do we find the answer? Well if we keep reading, it tells you that the number that is 7 more than twice another number is 47, so we now know that y = 47. So let's redo our equation by substituting y for the number 47:
47 = 7 + 2x
Now we have a workable equation. We need to solve for x. So let's rewrite this equation without changing it, just putting it in different order. Now we have 2x + 7 = 47. So how do we solve for x? First, we subtract 7 from both sides. Remember, when solving for x, anything you do to one side you must do to the other. So now we get this:
2x + 7 = 47 simplifies to 2x = 40
Now if we divide both sides by 2 to get x all by itself, we get x = 20. That is your answer. You can check it by substituting 20 for s in your original equation of 2x + 7 = 47, then you get 2(20) + 7 = 47. It works! Hope this helps!
simplify : -2(3v - 6) ( WITH STEPS TOO)
please and thank you!!
Answer:
-2(3v - 6) = 0
-6v + 12 = 0
-6v = -12
v = -12/-6
v = 2 answer
Step-by-step explanation:
How can I solve question b). ?
Answer:
It was not my intention to post that answer, as it does not solve the question, but hope it helps somehow.
Step-by-step explanation:
[tex]$\text{b)} \frac{\sin(a)}{\sin(a)-\cos(a)} - \frac{\cos(a)}{\cos(a)-\sin(a)} = \frac{1+\cot^2 (a)}{1-\cot^2 (a)} $[/tex]
You want to verify this identity.
[tex]$\frac{\sin(a)(\cos(a)-\sin(a))}{(\sin(a)-\cos(a))(\cos(a)-\sin(a))} - \frac{\cos(a)(\sin(a)-\cos(a))}{(\sin(a)-\cos(a))(\cos(a)-\sin(a))} = \frac{1+\cot^2 (a)}{1-\cot^2 (a)} $[/tex]
The common denominator is
[tex](\sin(a)-\cos(a))(\cos(a)-\sin(a))= \boxed{2\cos (a)\sin(a)-\cos ^2(a)-\sin ^2(a)}[/tex]
Solving the first and second numerator:
[tex]\sin(a)(\cos(a)-\sin(a))=\sin(a)\cos(a)-\sin^2(a)[/tex]
[tex]\cos(a)(\sin(a)-\cos(a))= \cos(a)\sin(a)-\cos^2(a)[/tex]
Now we have
[tex]$\frac{ \sin(a)\cos(a)-\sin^2(a) -(\cos(a)\sin(a)-\cos^2(a))}{2\cos (a)\sin(a)-\cos ^2(a)-\sin ^2(a)}$[/tex]
[tex]$\frac{ -\sin^2(a) +\cos^2(a)}{2\cos (a)\sin(a)-\cos ^2(a)-\sin ^2(a)}$[/tex]
Once
[tex]-\sin^2(a) +\cos^2(a) = \cos(2a)[/tex]
[tex]2\cos (a)\sin(a) = \sin(2a)[/tex]
Also, consider the identity:
[tex]\boxed{\sin^2(a)+\cos^2(a)=1}[/tex]
[tex]$\frac{ -\sin^2(a) +\cos^2(a)}{2\cos (a)\sin(a)-\cos ^2(a)-\sin ^2(a)}=\boxed{\frac{ \cos(2a)}{\sin(2a)-1}}$[/tex]
That last claim is true.
please help im am timed
Answer:
________________________
I believe that it's 114 degrees.
________________________
Answer:
114
Step-by-step explanation:
angle Bcd=180-66=114 degrees
the two angles are supplementary equal to 180 degrees
Write the slope intercept form of the equation of the line through (-4,5) and a slope of -2
Answer:
y=-2x-3
Step-by-step explanation:
y-y1=m(x-x1)
Inga knows that the radius of a certain cone is 4 cm and its volume is about 134 cubic centimeters. Which is the best estimate of the cone's height?
Answer:
h=8cm
Step-by-step explanation:
V= πr^2h/3
Where
V=volume of a cone
π=pi= 3.14
r= radius=4cm
h= height = ?
V= πr^2h/3
134= 3.14*4*4*h/3
134= 50.24h/3
Divide both sides by 50.24
h/3= 134 / 50.24
h/3= 2.67
Cross product
h= 2.67*3
h= 8.01
Approximately h= 8cm
The best estimate of the cone's height is 8cm
solve the equation for x
2x+2(3x-8=32)
[tex]2x+2(3x-8)=32\\2x+6x-16=32\\8x=48\\x=6[/tex]distribute and collect like-terms
to make sure of the answer:
[tex]2x+2(3x-8)=32\\2(6)+2(3(6)-8)=32\\12+2(18-8)=32\\12+36-16=32\\12+20=32\\32=32[/tex]
if
[tex] \frac{ {a}^{2x} }{ {a}^{(x - y)} } =a [/tex]
then y =
Answer:
y= 1-x
Step-by-step explanation:
● (a^2x)/a^(x-y) = a
This means that:
● 2x-(x-y) = 1
● 2x - x +y = 1
● x + y = 1
Substract x from both sides
● x+y -x = 1-x
● y = 1-x
Preston adopted a cat from a rescue shelter. He needs to buy some cat litter, so he compares prices at different stores. He finds the best deal at Fluffy Felines Pet Shop, which sells a 20-pound jug of cat litter for $8.60. How much does the cat litter cost per pound?
Answer:
$0.43
Step-by-step explanation:
Preston adopted a cat from a rescue shelter
He needs to buy food for his new cat so he compared the price of cat litter at different stores
Preston gets the best deal at fluffy felines pet shop
They sell 20 pound jug litter for $8.60
Therefore the cost of the cat litter per pound can be calculated as follows
= 8.60/20
= 0.43
Hence the cost of the cat litter per pound is $0.43