Answer:
The radius of the scoop is r = 3.1 cm
Step-by-step explanation:
Since 3 gallons yields 90 scoops, and 1 gallon = 3785 cm³.
3 gallons = 3 × 3785 cm³ = 11355 cm³
So we have 11355 cm³ in 3 gallons which is also the volume of 90 scoops.
Since 90 scoops = 11355 cm³, then
1 scoop = 11355 cm³/90 = 126.2 cm³
Now, if each scoop is a sphere, the volume is given by V = 4πr³/3 where r is the radius of the scoop. Since we need to find the radius of the scoop, r, making r subject of the formula, we have
r = ∛(3V/4π)
Substituting V = 126.2 cm³, we have
r = ∛(3× 126.2 cm³/4π)
= ∛(378.6 cm³/12.57)
= ∛30.13 cm³
= 3.1 cm
So, the radius of the scoop is r = 3.1 cm
PLZ HELP ASAP WILL GIVE BRAINLIEST
Answer:
22 ft.
Step-by-step explanation:
First we can get the total change in elevation, which should be the final elevation minus the initial elevation:
(98ft)-(10ft)=88ft
Then, to get the change in 4 equal intervals, we can divide the total change in elevation by 4.
(88/4)ft=22ft
So during each of the four intervals, assuming they were four equal intervals, the diver descends 22ft.
what is 50 divided by 1
Simplify the expression using the distributive property. 16m + 4(3m – 2a)+32
Answer:
16m + 12m - 8a + 32
Step-by-step explanation:
16m + 4(3m) - 4(2a) + 32. distribute the number (4) among the numbers inside of the parenthesis
16m + 12m -8a + 32. multiply
g(a) = a + 2. Find f(-7).
Answer:
Step-by-step explanation:
g(-7) = -7 + 2 = -5
I need help on this mathematical equation B is the Midpoint of AC.
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
B is the midpoint of AC so AB = BC.
AB + BC = AC
AB + AB = AC
2(AB) = AC
[tex]2\left(3\left(3x-1\right)\right)=5\left(2x+2\right)[/tex]
Expand:
[tex]2\times3\left(3x-1\right)=5(2x+2)[/tex]
[tex]6\left(3x-1\right)=5(2x+2)[/tex]
[tex]6\times3x-6\times1=5\times2x+5\times2[/tex]
[tex]18x-6=10x+10[/tex]
Add 6 to both sides:
[tex]18x-6+6=10x+10+6[/tex]
[tex]18x=10x+16[/tex]
Subtract 10x from both sides:
[tex]18x-10x=10x+16-10x[/tex]
[tex]8x=16[/tex]
Divide both sides by 8:
[tex]\frac{8x}{8}=\frac{16}{8}[/tex]
[tex]x=2[/tex]
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
First, we know that the entire segment adds up to 5(2x+2). In other words:
[tex]AB+BC=5(2x+2)[/tex]
Now, since B is the midpoint of AC, by the definition of midpoint, AB and BC are equivalent. So:
[tex]AB=BC[/tex]
Since we know that, let's substitute BC for AB in the first equation:
[tex]AB+BC=5(2x+2)\\[/tex]
This is equivalent to:
[tex]AB+AB=5(2x+2)[/tex]
Combine like terms:
[tex]2AB=5(2x+2)[/tex]
And since we know that AB is 3(3x-1), substitute:
[tex]2(3(3x-1))=5(2x+2)[/tex]
Now, solve for x.
Distribute the left side:
[tex]6(3x-1)=5(2x+2)[/tex]
Distribute both sides:
[tex]18x-6=10x+10[/tex]
Add 6 to both sides:
[tex]18x=10x+16[/tex]
Subtract 10x from both sides:
[tex]8x=16[/tex]
Divide both sides by 8:
[tex]x=2[/tex]
So, the value of x is 2.
And we're done!
Notes:
You didn't particularly state what you need to find. If you want to length of AB or BC, it would be:
[tex]AB=BC=3(3(2)-1)=15[/tex]
And the entire length AC is:
[tex]AC=2(15)=30[/tex]
Simplify 3r + 2(t + 5r).
Answer:
13r + 2t
Step-by-step explanation:
Step 1: Write out expression
3r + 2(t + 5r)
Step 2: Distribute
3r + 2t + 10r
Step 3: Combine like terms (r)
13r + 2t
Which number is closest to the square root of 71 ?
Answer:8.4 or 8 depends on the rounding
Step-by-step explanation:
Answer: Its 8 and 9!
Step-by-step explanation:
A Machine can produce six yards of yarn in two minutes. How many yards of yarn can it produce in one hour
Answer:180
Step-by-step explanation:
What value of a makes the equation true?
3(a + 1.5) = -1.5
Answers: 2, -2 ,-1 ,1 PLS HELPPO
4(1 - 4r) + 5(r - 7)
Answer -11r - 31
First you have to multiply the 4 to the numbers on parenthesis and also the 5 to the numbers of parenthesis.
The following table gives the number of people picking strawberries in a field and the corresponding number of hours that those people worked picking strawberries. Graph the ordered pairs from the table
Answer:
Step-by-step explanation:
Ordered pair (x, y) on a graph shows the two values,
x - values → Horizontal distance of the point form the origin.
y - values → Vertical distance of the point from the origin.
Example:
If we have to ploy (1, 3) on the graph.
We will plot a point which has a horizontal distance of 1 unit (grid) and 3 units vertical distance from the origin.
Now we will plot the points given in the table.
X square + 5 x + 6
Step-by-step explanation:
We can simplify the polynomial x² + 5x + 6 as (x + 2)(x + 3)
Let me know what are you looking for regarding this polynomial!
Answer:
(x+2)(x+3)
Step-by-step explanation:
x^2+5x+6
x^2+(2+3)x+6
x^2+2x+3x+6
x(x+2)+3(x+2)
(x+2)(x+3)
HELP ME PLEASE!
Delbert needs to mix a 20% acid solution with a 50% acid solution to create
100 milliliters of a 26 % solution. How many millileters of each solution must Delbert use?
Answer: Delbert must mix
_____ milliliters of the
20% solution and
_____ milliliters of the 50% solution.
Answer:
Step-by-step explanation:
26% is (26-20)/(50-20) = 6/30 = 1/5 of the way between 20% and 50%. That means 1/5 of the solution is 50% acid.
50% acid: 1/5 · 100 mL = 20 mL
20% acid: 100 mL -20 mL = 80 mL
Delbert must mix 80 mL of 20% acid and 20 mL of 50% acid.
_____
Maybe you'd like to see an equation. Let x represent the amount of 50% acid required. Then 100-x is the amount of 20% acid needed. The amount of acid in the mix is ...
0.50(x) +0.20(100 -x) = 0.26(100)
(0.50 -0.20)x = (0.26 -0.20)100 . . . . subtract 0.20(100)
x = (0.26 -0.20)/(0.50 -0.20)×100 = 20
This last expression should look a lot like the one we started with in this answer. It shows you how you can almost write down the answer to mixture problems without a lot of work.
a2+(b−c); a=−8, b=17, c=21
Answer:
-20
Step-by-step explanation:
a2 + ( b-c)
rewrite the equation
2 * a + ( b - c )
a = -8
b = 17
c = 21
substitute in the given values
(-8) 2 + ( (17) - (21) )
simplify and solve
-16 + ( 17-21)
= -16 + (-4)
= -16 -4
=-20
What is the hypothesis of the statement?
"I will cook dinner, if I get home before 5:00."
I will cook dinner.
If I get home after 5:00.
I will not cook dinner.
If I get home before 5:00.
Answer:
if i get home after 5:00
Step-by-step explanation:
there is an IF
The ordered pair (1,0) is a solution to the inequality y
Please select the best answer from the choices provided
T
F
Which set of numbers is included in the solution set of 8 - 5x > 23
Answer:5
Step-by-step explanation: because i had this question before
Find the midpoint between each pair of points.
(7,-2) and (-4,2)
Answer:
Midpoint: [tex](\frac{3}{2} ,0 )[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Step 1: Define variables
x₁ = 7
x₂ = -4
y₁ = -2
y₂ = 2
Step 2: Plug into midpoint formula
[tex](\frac{7-4}{2} ,\frac{-2+2}{2} )[/tex]
Step 3: Simplify/Evaluate
[tex](\frac{3}{2} ,\frac{0}{2} )[/tex]
[tex](\frac{3}{2} ,0 )[/tex]
Abigail is driving on a long road trip she currently has 13 gallons of gas in her car each hour that she drives her car is up 1 gallon of gas how much gas would be in the tank after driving for two hours how much gas will be left after T hours
Step-by-step explanation:
Well, if 1 gallon of gas = 1 hour then
2 hours would be 2 gallons so only 11 gallons of gas would be left in the tank and
13 hours would be 13 gallons, so 0 gallons of gas would be left in the tank
Write each sentence using mathematical symbols
The quotient of x and 7 is 5 more than three times
Answer:
36
Step-by-step explanation:
so basically thats the answer
find If g(x) = x2 + 2, find g(3). 9 8 11 6
Answer: 11
Step-by-step explanation: replace x for 3 and solve.
Math WILL GIVE BRAINLIEST A. How many different outcomes are represented in your tree diagram?
B. Suppose the three primary colors are red, yellow, and blue. How many outcomes contain at least one primary color?
Step-by-step explanation:
hello just came here to get likes
The area of a rectangular rug is 25.5 square meters. The width of the rug is 3.75 meters. Found the length of the rug by dividing its area by its width. What is the length in of the rug?
Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below. 4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x = 3x + 15 – 11 3x – 4 = 3x + 4 How can her partial solution be interpreted?
Answer: C
Step-by-step explanation: I just did it in e2020
Answer:
C
Step-by-step explanation:
I took the quiz edge2021
a cookie recipe calls for 2/3 cup of brown sugar. sarah is making 1/4 of the recipe. how much brown sugar will she need
Answer:
She will need 1/6 of a cup of sugar to make 1/4 of the recipe.
Step-by-step explanation:
Write and solve an equation of ratios. On the left side we have the ratio of the fraction of the recipe and on the right that of the amount of sugar in each case:
1 recipe 2/3 cup
------------- = -------------
1/4 recipe x
Cross multiplying gives us:
1x = (1/4)(2/3), or
x =2/12 or 1/6
She will need 1/6 of a up of sugar to make 1/4 of the recipe.
The student council needs posters for the winter carnival the print shop charges $15 for each print job each poser will cost an additional 1.35 what equation shows the realationship
Answer:
Step-by-step explanation:
C = 1.35n + 15
Is 5 a rational number or an irrational number?
Answer:
It is a rational number
Step-by-step explanation:
Answer:5 is a rational number
Step-by-step explanation:
Carey correctly graphs a linear function. The slope of the function is –1. The y-intercept is 3. Which is Carey’s graph?
On a coordinate plane, a line goes through points (0, 3) and (3, 0).
On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, negative 1) and (1, 2).
On a coordinate plane, a line goes through points (negative 1, 2) and (0, negative 1).
Answer:
graph A in the right answer.
Step-by-step explanation:
I just took the test :)
Answer:
its A.
Step-by-step explanation:
just took the quiz
Name the sets of numbers to which each number belongs
Pleaseeee help !! I made this a 50 point question
The angle "b" and the angle "d" are both the same angle measure. In other words, they are opposite angles that share the black dot in the middle. Angle "a" and angle "c" are both opposite angles which make them the same. They can also be called congruent angles. Even if they are facing a different direction, they are the same.
Therefore, the answer is 130 degrees
Best of Luck!
answer:
130 degrees
explanation:
the angles "a" & "c" are opposite (also called congruent) so they are the same.