Answer: 48 red drops
Step-by-step explanation:
ratio of yellow food drops to red food drops is 8:12
8:12 simplifies to 2:3
2:3 = 2/5:3/5
2x/5 = 32 = # of yellow drops (where x is the total # of drops)
2x/5 = 32
2x = 160
x = 80
Since there are 80 total drops and 32 yellow drops, there must be 48 red drops (80-32=48)
PLSS HELP ME FIND THE SURFACE AREA OF THE TRIANGULAR PRISM
THXXSSSS AND HURRY PLS
Answer:
108m^2
Step-by-step explanation:
surface area of any shape: sum of the area of its sides.
area of cross section x 2 = 4 x 3 12 m^2
area of slope: 5m x 8m = 40m^2
area of base: 8 X 3 = 24 m^2
area of back: 8m x 4m = 32m^2
sum = surface area = 108m^2
Please mark brainiest
A and B are two similar solids.
15 cm
10 cm
The volume of A is 400 cm.
十
工
Work out the volume of B.
Similarity - Area and Volume
View One Minute Version
Overview
Answer:
600cm3 the 3 is ment to be cubed
Step-by-step explanation:
Convert 1 1/3 to a improper fraction
Answer:
3 2/3
Step-by-step explanation:
Divide 11 by 3 using long division method. then place the quotient as whole number and reminder as numerator and dividend as denominator
The fraction 1 1/3 as an improper fraction is 4/3
How to write an improper fractionFrom the question, we have the following parameters that can be used in our computation:
Fraction = 1 1/3
When converted to an improper fraction, we have
Numerator = 3 * 1 + 1
Evaluate
Numerator = 4
The denominator remains the same
So, we have
Fraction = 4/3
Hence, the fraction is 4/3
Read more about fraction at
brainly.com/question/31896427
#SPJ6
3 x 1/4 what is the answer to the question?
Answer:3/4
Step-by-step explanation:
1x3=3
Answer:
I used an online calculator and I got 0.75
Step-by-step explanation:
Expand and simplify
n(6 + n) =
Answer:
n²+6n
Step-by-step explanation:
n(6 + n) = 6n+n²= n²+6n
Anyone know this ? Need help :(
Answer:
19
Step-by-step explanation:
We can multiply the exponents, giving us 19 ^ (1/9 * 9) = 19 ^ 1 = 19.
Answer:
19
Step-by-step explanation:
(19^1/9)^9
19^(1/9*9)
19^1
19
Tina throws a baseball straight up from a height of 3 feet and at a speed of 50 feet per second. The height of the ball in feet is given by the polynomial -16t^2+50t+3, where t is the time in seconds. How high is the ball after 3 seconds?
Answer:
9 feet
Step-by-step explanation:
The height of the ball in feet is given by the polynomial:
[tex]h(t) = -16t^2+50t+3[/tex]
where t is the time in seconds.
After 3 seconds, t = 3:
[tex]h(3) = -16(3)^2 + 50(3) + 3 \\\\h = -144 + 150 + 3 = 9 feet[/tex]
The height of the ball after 3 seconds is 9 feet.
19. Seja 17x 51y+ 102. Qual é o valor de 9x 27y ? (A) 54 (B) 36 (C) 34 (D) 18 (E) indeterminado
Pergunta correta:
Seja 17x + 51y = 102. Qual é o valor de 9x + 27a? (A) 54 (B) 36 (C) 34 (D) 18 (E) indeterminado
Resposta: A) 54
Explicação passo a passo:
17x + 51y = 102 - - - - equação 1
Divulgue até 17
x + 3y = 6 - - - - - - - Equação 2
9x + 27y - - - - - - - equação 3
Comparando as equações 2 e 3
(Equação 3) = 9 × (equação 2)
Isso é, 9x + 27y = 9 × (x + 3y = 6)
9x + 27y = 9x + 27y = 54
Portanto ; 9x + 27y = 54
I will mark you brainliest!!! What is the first step in adding these equations to eliminate y?
Answer:
multiply bottom equation by 3
Step-by-step explanation:
That way, the -3y can be -9y and 9y and -9y can cancel.
Answer:
D. Multiply the bottom equation by 3
Step-by-step explanation:
A.
If you multiply the bottom equation by 7, then your equation will be:
7x+9y=8
14x-21y=7
Which will not get rid of y.
B.
If you multiply the top equation by 3, then your equation will be:
21x+27y=24
2x-3y=1
Which will not get rid of y.
C.
If you multiply the top equation by 2, then your equation will be:
14x+18y=16
2x-3y=1
Which will not get rid of y.
D.
If you multiply the bottom equation by 3, then your equation will be:
7x+9y=8
6x-9y=3
Which will get rid of y.
Alan weighs 3 pounds more than twice what Dylan weighs. Write an expression o represent Alan’s weight in terms of Dylan’s weight.
Answer:
2x+3
Step-by-step explanation:
2x+3=Alan's Weight
2x= Dylan's weight times two
+3= the plus three more pounds
Which then equals Alan's weight.
What is the solution to the equation - 4 = 6?
A. x = 5
B. x = 1
C. x = 20
D. x = 10
Tysvm if you answer!
What is the probability that a card drawn randomly from a standard deck of 52 cards is a red eight Express your answer as a fraction in
lowest terms or a decimal rounded to the nearest millionth
Answer:
=1/26
Step-by-step explanation:
In a 52 card deck there are 2 red 8's ( hearts and diamonds)
P(red 8) = number of red 8's / total
=2/52
=1/26
X = 4/5 (x+10)
Find x
Answer:
[tex]x=40[/tex]
Step-by-step explanation:
[tex]x=\frac{4}{5}\left(x+10\right)\\\mathrm{Expand\:}\frac{4}{5}\left(x+10\right):\quad \frac{4}{5}x+8\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=\frac{4}{5},\:b=x,\:c=10\\=\frac{4}{5}x+\frac{4}{5}\cdot \:10\\=\frac{4}{5}x+10\cdot \frac{4}{5}\\10\cdot \frac{4}{5}=8\\10\cdot \frac{4}{5}\\\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\=\frac{4\cdot \:10}{5}\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:10=40\\=\frac{40}{5}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{40}{5}=8\\=\frac{4}{5}x+8\\x=\frac{4}{5}x+8\\\mathrm{Subtract\:}\frac{4}{5}x\mathrm{\:from\:both\:sides}\\x-\frac{4}{5}x=\frac{4}{5}x+8-\frac{4}{5}x\\Simplify\\x-\frac{4}{5}x=\frac{4}{5}x+8-\frac{4}{5}x\\\mathrm{Simplify\:}x-\frac{4}{5}x:\quad \frac{1}{5}x\\x-\frac{4}{5}x\\\mathrm{Factor\:out\:common\:term\:}x\\=x\left(1-\frac{4}{5}\right)\\1-\frac{4}{5}=\frac{1}{5}\\=\frac{1}{5}x\\1-\frac{4}{5}[/tex]
[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot \:5}{5}\\=\frac{1\cdot \:5}{5}-\frac{4}{5}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{1\cdot \:5-4}{5}\\1\cdot \:5-4=1\\1\cdot \:5-4\\\mathrm{Multiply\:the\:numbers:}\:1\cdot \:5=5\\=5-4\\\mathrm{Subtract\:the\:numbers:}\:5-4=1\\=1\\=\frac{1}{5}\\=\frac{1}{5}x\\\mathrm{Simplify\:}\frac{4}{5}x+8-\frac{4}{5}x:\quad 8\\\frac{4}{5}x+8-\frac{4}{5}x[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:\frac{4}{5}x-\frac{4}{5}x=0\\=8\\\frac{1}{5}x=8\\\mathrm{Multiply\:both\:sides\:by\:}5\\5\cdot \frac{1}{5}x=8\cdot \:5\\\mathrm{Simplify}\\x=40[/tex]
Answer:
40
Step-by-step explanation:
x+10= x 5/4
x +10= 5x/4
4x+40= 5x
40= x
x=40
A bag contains 10 red pens, 15 blue pens, and 20 black pens. Joseph will pull a pen from the bag.
When Joseph pulls a pen from the bag, how many outcomes are possible?
A) 45
B) 10
C) 20
D) 15
Answer:
45 different outcomes
Step-by-step explanation:
There are 10+15+20 = 45 pens in the bag
Since he is pulling one pen, and there are 45 different pens in the bag, there are 45 different outcomes
Answer:
45 fsfs
Step-by-step explanation:
i just took a test and got it right
Find the volume of the sphere. Use 3.14 for Pi. Round your answer to the nearest thousandth. A sphere with diameter 10 inches. a. 4186.667 cu. in. b. 523.333 cu. in. c. 104.667 cu. in. d. 294.375 cu. in. Please select the best answer from the choices
Volume of a Sphere Formula:
[tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]
Diameter/Radius Relationship:
[tex]\displaystyle r = \frac{d}{2}[/tex]
ApplicationStep 1: Define
Let us clearly sort out what information this specific problem gives us:
We are given that the shape is a sphere.We are also given that the diameter of the sphere is equal to 10 inches.Finally, we are asked to find the volume of the sphere.We can consolidate this into mathematical symbols:
[tex]\displaystyle d = 10 \ \text{in}[/tex][tex]\displaystyle V_{\text{Sphere}} = \ ?[/tex]Step 2: WorkGiven what we know, we now need to find the volume of the sphere. With knowledge implied, found under the General Formulas and Concepts section above, we can first solve for the radius [tex]\displaystyle r[/tex]:
[tex]\displaystyle\begin{aligned}r & = \frac{d}{2} \\& = \frac{10 \ \text{in}}{2} \\& = \boxed{5 \ \text{in}} \\\end{aligned}[/tex]
∴ the radius of the sphere is equal to 5 inches.
Now that we have our radius, we can substitute this value into our volume of a sphere formula and evaluate:
[tex]\displaystyle\begin{aligned}V & = \frac{4}{3} \pi r^3 \\& = \frac{4}{3} \pi (5 \ \text{in})^3 \\& = \frac{4}{3} \pi (125 \ \text{in}^3) \\& = \boxed{ \frac{500}{3} \pi \ \text{in}^3 } \\\end{aligned}[/tex]
∴ the volume of the sphere is equal to [tex]\boxed{ \frac{500}{3} \pi \ \text{in}^3 }[/tex].
To estimate our answer, we can simply substitute the value of [tex]\displaystyle \pi[/tex] for 3.14, as defined by the problem, and evaluate once more:
[tex]\displaystyle\begin{aligned}V & = \frac{4}{3} \pi r^3 \\& = \frac{4}{3} \pi (5 \ \text{in})^3 \\& = \frac{4}{3} \pi (125 \ \text{in}^3) \\& = \frac{500}{3} \pi \ \text{in}^3 \\& = \frac{500}{3} (3.14) \ \text{in}^3 \\& \approx \boxed{ 523.333 \ \text{in}^3 }\end{aligned}[/tex]
∴ the volume of the sphere is approximately equal to [tex]\displaystyle \boxed{ 523.333 \ \text{in}^3 }[/tex].
Answer∴ the best answer choice that corresponds to our gathered result is answer choice b. 523.333 cu. in.
___
Learn more about volume: https://brainly.com/question/27749754
Learn more about geometry: https://brainly.com/question/16893579
___
Topic: Geometry
Unit: Volume
What is the gradient of the graph shown?
Answer:
-1/2
Because, for every one square, the line goes down by 1/2.
Answer:
- 0.5
Step-by-step explanation:
To find the gradient of a line,
divide the value of decrease by the value across.
So, count across from the extreme left toll the extreme right = 13
Where you completed in the extreme right, you have to count down till you reach the other end of the line = 6.5
Now, you divide: 6.5 divided by 13 = 0.5
Since we counted down, it is negative = -0.5
Please mark brainiest
An airplane change in altitude before landing is shown in the table. What equation represents this change in altitude?
Answer:
a = -4,000m + 39,000
Step-by-step explanation:
The top of the circular table has a radius of 16 inches.What is the circumfrence of the tabletop? Use 3.14 for pie
Answer:
100.48
Step-by-step explanation:
Using the formula : 2pi times the radius, I can plug the radius in and find the circumference. 2 times pi is 6.28, and the radius is 16. 6.28 times 16 = 100.48.
Which function below represents exponential decay? ƒ( x) = 2(1.3) x ƒ( x) = 0.5(2) x ƒ( x) = (-3) x ƒ( x) = 4(0.25) x
Answer:
f(x) = 4 (0.25)ˣ
Step-by-step explanation:
If the growth factor is between 0 and 1, the function is exponential decay.
If the growth factor is greater than 1, the function is exponential growth.
Esmeralda has decided that every month, for as long as she can
afford it, she's going to donate $250 to a charity that helps fund
research on treatments for cancer. Esmeralda sticks to her word and
continues donating for 2 years. Determine how many more months she
can afford to donate if the starting balance of the account is $8,000.
Answer:
8 months more
Step-by-step explanation:
first calculated how many months total she can donate: 8000/250 = 32 months
2 years has 24 months
subtract 32 with 24 which is 8 and that is how many months left that she can donate
we can describe 15x-10 as an expression we would describe 9+5=32 as an...
Answer:
equation
Step-by-step explanation:
Equations have equals signs, expressions do not
15x-10 is an expression
9+5 = 32 is an equation ( it is a wrong equation)
The LCM of three numbers is 7920 and their GCD is 12. Two of the numbers are 48 and 264. Using factor notation find the third number if one of its factors is 9.
Answer:
The third number is 180.
Step-by-step explanation:
Let the third number be 9x where x is an integer.
48 = 2*2*2*2*3
264 = 2*2*2*3*11
9x = 3*3*x
2*2*2*2*3*3*11*x = 7920y where y is an integer
1584x = 7920y
so x = 7920y / 1584= 5y.
Now the GCD is 12 so x must have 4 as one of its factors.
Also x is a multiple of 5 so it could be 20 then y would be 4.
If x = 20 then the third number is 9*20 = 180.
This checks out OK.
(20 POINTS AND BRAINLIEST)
The Timothy Edwards Matinee Program has a one time fee of $25 to join the bowling club. It then costs $6 each time the club goes bowling.
a) Write an equation in slope-intercept form for the cost y of joining the club and going on x bowling trips.
b) Sarah wants to join and go bowling 10 times. How much will she pay?
c) Tyler wants to join the club and go bowling 7 times. How much will he have to pay?
Answer:
a) The equation is y = 6x + 25 since the 25 is the initial fee.
b) We plug in 10 for x. 6 * 10 + 25 = $85.
c) We plug in 7 for x and get 6 * 7 + 25 = $69.
Answer:
see below
Step-by-step explanation:
a) y = 6x + 25 (because the 25 is the initial fee)
b) x = 10, so:
= 6 * 10 + 25
= $85
c) x = 7, so:
= 6 * 7 + 25
= $69
Hope this helps!
PLEASE HELP WILL MARK BRAINLIEST
How would the rotational speed of the anemometer be different during a strong windstorm than in a wind that is not as strong?
Answer: the rotational speed would be greater during a storm
Step-by-step explanation:
Rotational speed is produced by a torque on an object relative to a pivot. The stronger the wind, the stronger the torque on the anemometer. This increase in net torque would increase the angular acceleration of the anemometer, which would increase the angular velocity (rotational speed).
answer quickly plzzz
Answer:
Your answer of [tex]-\frac{39}{8y}[/tex] is correct
Step-by-step explanation:
We begin with the expression: [tex]-\frac{4}{y} +(-\frac{7}{8y} )[/tex]
First, we need to find a common denominator, which in this case would be 8y.
To make the first term have a denominator of 8y, we must multiply it by [tex]\frac{8}{8}[/tex]
[tex]-\frac{4}{y}(\frac{8}{8}) +(-\frac{7}{8y} )\\\\-\frac{32}{8y} +(-\frac{7}{8y} )[/tex]
Now we can add them to get our final answer.
[tex]-\frac{39}{8y}[/tex]
Does this equation y=87.2/x represent a direct or inverse variation?
Answer:
Inverse relationship
Step-by-step explanation:
The equation we are looking at is;
y = 87.2/x
which implies xy = 87.2
If it was a direct relationship
y = constant * x
if it was inverse, it would have been
y * x = constant
since 87.2 is a constant, the question looks exactly like the second scenario.
This means that what we have is an inverse relationship
What the answer to this
Answer:
(2 x + 5) (x - 1) (x + 7) thus the answer is D.)
Step-by-step explanation:
Factor the following:
2 x^3 + 17 x^2 + 16 x - 35
The possible rational roots of 2 x^3 + 17 x^2 + 16 x - 35 are x = ± 1/2, x = ± 5/2, x = ± 7/2, x = ± 35/2, x = ± 1, x = ± 5, x = ± 7, x = ± 35. Of these, x = -5/2, x = 1 and x = -7 are roots. This gives 2 x + 5, x - 1 and x + 7 as all factors:
Answer: (2 x + 5) (x - 1) (x + 7)
What are the two main methods for solving a system of equations?
Answer:
substitution, and 2) elimination
Step-by-step explanation:
Step-by-step explanation:
elimination
substitution
A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank AAA holds 40\text{ L}40 L40, start text, space, L, end text and 555 fish. Tank BBB holds 100\text{ L}100 L100, start text, space, L, end text and 121212 fish. Tank CCC holds 180\text{ L}180 L180, start text, space, L, end text and 232323 fish. Order the tanks by volume per fish from least to greatest.
Answer:
C, A and B
Step-by-step explanation:
Tank A holds 40 Liters and 5 fish.
Volume per fish of Tank A [tex]=40 \div 5 =$ 8 fish per liter[/tex]Tank B holds 100 Liters and 12 fish.
Volume per fish of Tank B [tex]=100 \div 12 =$ 8.33 fish per liter[/tex]Tank C holds 180 Liters and 23 fish.
Volume per fish of Tank C [tex]=180 \div 23 =$ 7.83 fish per liter[/tex]Therefore, the volume per fish from least to greatest is:
7.83, 8 and 8.33
These correspond to the tanks: C, A and B respectively.
Answer:
CAB
Step-by-step explanation:
Got it right in Khan!
what is circular test track
Answer:
A circular test track for cars has a circumference of 3.5km . A. car travels around the track from the southernmost point to the.
Step-by-step explanation: