Answer:
(B)72 fluid ounces
Step-by-step explanation:
To convert cups to fluid ounces, Sari wrote the equivalent ratios.
[tex]\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{? fluid ounces}}{9\text{ cups}}[/tex]
Let the question mark be represented by x.
We then have:
[tex]\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{x fluid ounces}}{9\text{ cups}}\\$Cross multiply\\x \times 1 = 8 \times 9\\x=72$ fluid ounces[/tex]
We conclude that there are 72 fluid ounces in 9 cups.
Answer:
B
Step-by-step explanation:
6,666,666×666,666 /1+2+3+4+5+6+5+4+3+2+1 − 777,777×777,777/1+2+3+4+5+6+7+6+5+4+3+2+1
Answer:
111111 [tex]\times[/tex] 1111110 is the simple expression.
Step-by-step explanation:
The expression to be solved:
[tex]\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1} - \dfrac{777,777\times777,777}{1+2+3+4+5+6+7+6+5+4+3+2+1}[/tex]
First of all, let us solve the first term:
[tex]\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1}\\\Rightarrow \dfrac{6666666\times666666 }{36}\\\Rightarrow \dfrac{6666666\times666666 }{6\times 6}\\\Rightarrow 1111111\times 111111[/tex]
Now, the right term:
[tex]\dfrac{777777\times777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}\\\Rightarrow \dfrac{777777\times777777}{49}\\\Rightarrow \dfrac{777777\times777777}{7 \times 7}\\\Rightarrow 111111 \times 111111[/tex]
So, the expression to be solved becomes:
[tex]1111111\times 111111-111111\times 111111\\\Rightarrow 111111(1111111-1)\\\Rightarrow 111111\times 1111110[/tex]
Some one HELP PLEASE
THE ANSWER IS NOT 40,5 20 -20
Answer:
x = 20
Step-by-step explanation:
If AE is a bisector then it divides the angle in half
BAE = EAC
x+30 = 3x-10
Subtract x from each side
30 = 2x-10
Add 10 to each side
40 = 2x
Divide by 2
40/2 =2x/2
20 =x
#1 The area of a rectangular deck, in square meters, is given by the polynomial 40p^2 + 24p.
The deck is 8p meters wide
a) Find the polynomial that represents the length of the deck.
b) Find the polynomial that represents the perimeter of the deck.
#2 A cylinder has a volume of 200 mm^3 and a height of 17mm.
a) The volume formula for a cylinder is the equals v=(pi)r^2h. Isolate the variable for r in this formula.
b) using the equation where are you isolated r for part a, find the radius of the cylinder round your answer to the nearest hundredth.
PLEASE HELP even if you just answer #1 or #2 it would help i don’t have very much time.
Answer:
1.
a. 5p + 3
b. 26p + 6
2.
a r = (v ÷(pi)h)½
b. r = 3.74 to the nearest hundredth
Step-by-step explanation:
1.
Area of deck = 40p² + 24p
Width of deck = 8p
Area = length × width(breadth)
a. Area = length × width
40p² + 24p = length × 8p
Factorise out 8p from the left hand side
8p(5p + 3) = length × 8p
Divide both sides by 8p
5p + 3 = length
b Perimeter of deck = 2 (length + width)
"" = 2(5p+3 + 8p)
"" = 2 (13p + 3)
"" = 26p + 6
2.
Volume = 200 mm³
Height = 17mm
a. isolate the r in the equation v = (pi)r²h
v = (pi)r²h
Divide both sides by (pi)h
v ÷ (pi)h = r²
Take the square roots of both sides
(v ÷ (pi)h)½ = r
b. find r using your answer in a.
r = (v ÷ (pi)h)½
r = (200 ÷ ( 22/7 × 17))½
r = (200 ÷ 53.4286)
r = 3.7433
r = 3.74 to the nearest hundredth
Solve the inequality 5(2h + 8) < 60
Step-by-step explanation:
5(2h+8) <60
10h +40< 60
10h + 40-40 < 60-40
10h < 20
10h/10 < 20/10
h < 2
I need help with finding the surface area of the prism
Answer:May be 12
Step-by-step explanation:
Answer: The surface area of the rectangular prism is 114 cm^2.
Step-by-step explanation:
1) Formula: A = 2wl + 2lh + 2hw
( W=width, l= length, h=height)
2) Plug it in: A=2(3)(8) + 2(8)(3) + 2(3)(3)
3) A= 2( 24) + 2(24) + 2(9)
4) A= 48+ 48+ 18= 114
What does x(x - 2) equal?
Answer:
x^2 - 2x
Step-by-step explanation:
Distribute the x to every term in the parenthesis.
Answer:
x^2 -2x
Step-by-step explanation:
x(x - 2)
Distribute
x*x - 2*x
x^2 -2x
Please help ! ;v; A coordinate plane is shown. A line passes through the point (-4,1) and through the y-axis at 4. What is the y-intercept of the line shown?
Answer:
(0, 4)
Step-by-step explanation:
The y-intercept is where the graph crosses the y-axis when x = 0. Since you are given the graph, you can see that when x = 0, the graph crosses y = 4, so our y-int is (0, 4).
Please answer this question now in two minutes
Answer: x=6, y=20
Step-by-step explanation:
Since ΔBCD and ΔTUS are congruent triangles, we can set the sides equal to each other.
y=2y-20 [subtract both sides by 2y]
-y=-20 [divide both sides by -1]
y=20
--------------------------------------------------------------------------------------
3x+32=9x-4 [add both sides by 4, and subtract both sides by 3x]
36=6x [divide both sides by 6]
x=6
If x∝y and x=24 when y = 8. Find x when y = 16
3 points
Answer:
x= 48
Step-by-step explanation:
x∝ y
x= ky
24= 8k
k= 3
Now solve for x
x= ky
x= 3x 26
x= 48
I hope it helped
Help someone please!! Ty
Answer:
Option (B)
Step-by-step explanation:
Let the five distinct positive integers are a, b, c, d, e.
Average of these five integers is 20.
[tex]\frac{a+b+c+d+e}{5}=20[/tex]
a + b + c + d + e = 100
If these integers are in the increasing order,
Median of these integers 'c' = 12
If the sum of d and e is the largest then the sum of a and b will be the smallest.
Therefore, the smallest positive integers a and b will be,
a = 1 and b = 2
1 + 2 + 12 + d + e = 100
15 + d + e = 100
d + e = 100 - 15
d + e = 85
Since d will be greater than the median c,
d > c
d > 12
For the largest value of integer 'e', value of 'd' will be minimum.
The least value of d will be = 13
Then, 13 + e = 85
e = 85 - 13
e = 72
{a, b, c, d, e} = {1, 2, 12, 13, 72}
Therefore, the largest possible number is this set will be 72.
Option (B) will be the answer.
Ryan is X years old. Two times his age plus fifteen equals thirty-seven minus two. ( 2X + 15=37 - 2) Write an equation showing how old Ryan is. Solve it fi you can and show your work. 10X - 8 = 9X + 8 solve and show your work
Answer:
1) 10
2) 16
Step-by-step explanation:
1) 2x+15=37-2
2x+15=35
2x=35-15
2x=20
2 2
x=10
2)10x-8=9x+8
10x-9x=8+8
x=16
Hope this helps ❤
simplify 1/2 -1/4+1 1/2
Answer: 1 3/4
Step-by-step explanation:
Step 1: Subtraction
1/4+1 1/2
Step 2: Addition
1 3/4
Hope it helps <3
Answer:
1 3/4
Step-by-step explanation:
Simplify 1/2 -1/4+1 1/2
1/2 - 1/4 + 1 1/2 =
= 2/4 - 1/4 + 1 2/4
= 1/4 + 1 2/4
= 1 3/4
geometry question please help
Answer:
see below
Step-by-step explanation:
Alright, geometric probability.
We need to find
the area of the rectanglethe area of the equilateral triangle the area of the square the area of the part of the circle that does not include the squareand the area of the part of the rectangle that does not include the square, circle, or triangle.To find those, we need to find the areas of:
the outer rectanglethe circlethe equilateral trianglethe squareLet's start off with the easiest figure. The circle.
The circle has a radius of 10. Therefore, its area is is π[tex]r^2[/tex]. 100π is roughly 314.159265.
The circle has an area of around 314.159265.
Half of the diagonal of the square is 10m. That means that the full diagonal of the square is 20 m.
Formula for side of square using diagonal:
a = q / √2
20/√2 = 14.142135623731
The area of a square is a^2
14.142135623731^2= 200
The area of the square is 200 m^2. (28)
Using this, and the area of the circle, we can find the area of the part of the circle that does not include the square.
314.159265 - 200= 114.159265
The area of the part of the circle that does not include the square is 114.159265.
Now, the most important calculation (because it lets us find the total area of the rectangle); the equiangular triangle.
The height of this triangle is 30m. Therefore, the area is 519.6152422706632.
The area of the equiangular triangle is 519.6152422706632.
The side length of the equiangular triangle is 34.64101615137755.
The area of the rectangle= l times w.
l = 34.64101615137755
w= 30
30 times 34.64101615137755= 1039.23048454133
The total area is 1039.23048454133.
Now that we have the denominator of our fraction (total area), lets go back to our questions.
We need to find
the area of the equilateral triangle the area of the square the area of the part of the circle that does not include the squareand the area of the part of the rectangle that does not include the square, circle, or triangle.The area of the equilateral triangle = 519.6152422706632
519.6152422706632/1039.23048454133 = .5
The geometric probability that a point chosen randomly inside the rectangle is inside the equilateral triangle is .5
The area of the square = 200
200/1039.23048454133 = 0.19245008973
The geometric probability that a point chosen randomly inside the rectangle is inside the square is 0.19245008973
The area of the part of the circle that doesn't include the square: 114.159265
114.159265/1039.23048454133= 0.10984980396
The geometric probability that a point chosen randomly inside the rectangle is inside the part of the circle that doesn't include the square is 0.10984980396
The part of the rectangle that doesn't include the square, circle or triangle.
Area of triangle = 519.6152422706632
(The triangle contains the circle and square).
1039.23048454133- 519.6152422706632 = 519.61524227067
519.61524227067 /1039.23048454133 = 0.5
The geometric probability that a point chosen randomly inside the rectangle is inside the part of the circle doesn't include the square, circle, or triangle is 0.5
Hope this helped! Let me know if I made an errors, or if my answers are incorrect.
Help!!!!! please!!!!!
I have the olaf needs a total of 3 cups of sugar to make 4 cakes. write and solve an equation to find the number of cups of sugar he needs for each cake. which number line shows of cups of sugar olaf needs for each cake, Wheres 3/4 cups?
Answer: 3/4 cups per cake.
Step-by-step explanation:
He needs 3 cups for 4 cakes.
Then, if you want to know the amount that he needs for each cake, you need to see the quotient between the number of cups and the number of cakes:
S = 3cups/4 cakes = (3/4) cups per cake.
In the number line, 3/4 will be:
0--I--I--(here)--1--I--I--I--2
Helppp!!!! please!!!
Answer:
[tex]245[/tex] [tex]cm^{2}[/tex]
Step-by-step explanation:
If Every side is 7cm, that means that every side is congruent to the other.
So,
[tex]7[/tex]×
There are basically 5 squares, counting the one in the middle.
So, we will multiply 49 by 5.
[tex]5[/tex]×[tex]49[/tex]=[tex]245[/tex] [tex]cm^{2}[/tex]
Hence, your answer will be [tex]245[/tex] [tex]cm^{2}[/tex]
help me pls!! Ill so grateful!! TYSM!
Answer:
Hey there!
We want to change the equation for each line into slope intercept form, or y=mx+b form.
Luckily, the first one is already in slope intercept form.
The second line can be converted to: y=-3/4x-7/4.
The third line can be converted to: -8y=-6x+4, or y=3/4x-1/2
Line one and line two are neither perpendicular or parallel.
Line one and line three are perpendicular.
Lines two and three are neither perpendicular or parallel.
This is because parallel lines have same slope, and perpendicular lines have opposite reciprocal slopes.
Hope this helps :)
Answer:
Line 1 and Line 2: Neither
Line 1 and Line 3: Perpendicular
Line 2 and Line 3: Neither
Step-by-step explanation:
To make the answering process easier, begin by converting each formula into the format y = mx +b:
Line 1: y = -4/3x + 1 (already in format)
Line 2:
-4y = 3x + 7
Divide all terms by -4:
y = -3/4x - 7/4
Line 3:
6x - 8y = 4
Subtract both sides by 6x:
-8y = -6x + 4
Divide all terms by -8:
y = 3/4x - 1/2
We can determine the relationships of the lines:
Line 1 and Line 2: Neither. They do not have the same slope, and they are not opposite reciprocals of each other.
Line 1 and Line 3: Perpendicular. The slopes of each line are opposite reciprocals: (-4/3 and 3/4)
Line 2 and Line 3: Neither. The slopes are the same but one is negative.
Which fraction is not equivalent to 7/8
Answer:
C. 15/16
Step-by-step explanation:
A. Divide by 3
B. Divide by 5
C. Can't divide by anything.
D. Divide by 4
Answer:
C
Step-by-step explanation:
21/24 = 7/8
35/40 = 7/8
7/8 ≠ 15/16
14/16 ≠ 15/16
28/32 = 7/8
HELP ME PLEASE PLEASE IM BEGGING
Answer:
The solution is the triplet: (a, b, c) = (-3, 0, 0)
Step-by-step explanation:
Let's start with the second equation, and solving for "a":
a - b = -3
a = b - 3
Now replace this expression for a in the third equation:
2 a + b = -6
2 (b - 3) +b = -6
2 b - 6 +b = -6
3 b = -6 +6
3 b = 0
b = 0
So if b = 0 then a = 0 - 3 = -3
now we can replace a= -3, and b = 0 in the first equation and solve for c:
2 a - b + c = -6
2 ( -3) - 0 + c = -6
-6+ c = -6
c = -6 + 6
c = 0
Our solution is a = -3, b= 0 , and c = 0 which can be expressed as (-3, 0, 0)
Combine the like terms to create an equivalent expression: -n+(-3)+3n+5
Answer: 2n+2
Step-by-step explanation:
1. Remove the parentheses
-n-3+3n+5
2. Collect like terms
2n-3+5
3. Calculate the sum
2n+2
A hiker is climbing down a valley. He stops for a water break 4 times. Between each break, he descends 15 meters. How many meters did he descend? Ju Chan answered the question by writing the following: 4(−15) meters = −60 meters. Which word in the problem indicates that a negative number should be used?
Answer:
"descends"
Step-by-step explanation:
(just had the same question).
i mark brainliest for all my questions that are answered right :) thx for helping me
78÷4 68÷7 98÷6
Answer me fast
Answer:
78/4=19.5, 68/7=9.71, 98/6=16.3
Step-by-step explanation:
Will get lots of points!! Thank you!! Trigonometry
Answer:
Angle B = 75 degrees
AC = 35.7
BC = 9.6
Step-by-step explanation:
Angle A = 15 degrees (given)
Angle C = 90 degrees (given)
c = 37 (given)
Angle B = 90-15 = 75 degrees
AC = AB cos(A) = 37 cos(15) = 35.7
BC = AB sin(A) = 37 sin(15) = 9.6
Numa caixa ha 8 bolas verdes ,5 bolas vermelhas e 2 bolas azuis. Tira se ao acaso uma bola da caixa. Calcula a probabilidade da bola saida ser: verde ; vermelho; azul : verde ou azul; nao verde
Responda:
P (verde) = 8/15
P (vermelho) = 1/3
P (azul)). 2/15
P (verde ou azul) = 2/3
P (não verde) = 7/15
Explicação passo a passo:
Dado o seguinte:
Número de bolas verdes = 8
Número de bolas vermelhas = 5
Número de bolas azuis = 2
N (verde) = 8
N (vermelho) = 5
N (azul) = 2
Portanto, número total de bolas;
N (total) = 8 + 5 + 2 = 15
Probabilidade = número de resultados requeridos / Total de resultados possíveis
1.) Probabilidade de escolher uma bola verde:
P (verde) = número de bolas verdes / número total de bolas
P (verde) = 8/15
2.) Probabilidade de pegar uma bola vermelha: P (vermelho) = número de bolas vermelhas / número total de bolas
P (vermelho) = 5/15 = 1/3
3) Probabilidade de pegar uma bola azul:
P (azul) = número de bolas azuis / número total de bolas
P (azul) = 2/15
4) probabilidade de verde ou azul:
P (verde ou azul) = P (verde) + p (azul)
P (verde ou azul) = 15/8 + 2/15 = 10/15 = 2/3
P (não verde) = 1 - P (verde)
P (não verde) = 1-8/15
P (não verde) = 7/15
A
The star makes a glide reflection according to the vector (5,0) and reflection line of y = 1. What are the coordinates of A?
Select one:
O a. (-4,0)
Ob.(2,-2)
OC. (-2, 4)
O d. (0,-2)
James is contemplating an investment opportunity represented by the function A(t)=P(1.06)t, where P is the initial amount of the investment, and t is the time in years. If James invests $5000, what is the average rate of change in dollars per year (rounded to the nearest dollar) between years 15 and 20?
Answer:
Average rate of change in dollars per year between years 15 to 20 is:
$5300 per year.
Step-by-step explanation:
Given that:
Initial Investment, P = $5000
Formula:
[tex]A(t) = P(1.06)t[/tex]
To find: If James invests $5000,
average rate of change in dollars per year (rounded to the nearest dollar) between years 15 and 20=?
Solution:
First of all, let us find out A(15) and A(20):
Putting t = 15 first,
[tex]A(15) = 5000(1.06)\times 15 ....... (1)[/tex]
Putting t = 20,
[tex]A(20) = 5000(1.06)\times 20 ....... (2)[/tex]
Average rate of change / year is defined as:
[tex]\dfrac{\text{Change in value of A}}{\text{Number of years}}[/tex]
So, required rate of change:
[tex]\dfrac{A(20)-A(15)}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times 20-5000 \times 1.06 \times 15}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times (20-15)}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times 5}{5}\\\Rightarrow 5000 \times 1.06\\\Rightarrow \$5300\ per \ year[/tex]
So, the answer is:
Average rate of change in dollars per year between years 15 to 20 is:
$5300 per year.
If 3x-5=10x+9, what is 4(x+7)?
Answer: not sure
Step-by-step explanation:
Answer:
Hey there!
3x-5=10x+9
-5=7x+9
-14=7x
x=-2
4(x+7)
4(-2+7)
4(5)
20
Hope this helps :)
Shape s is below is exactly one quarter of solid sphere.The volume of the shape s is 1994πcm^2. Find the surface area of s.
Answer: 1035 cm^2
Step-by-step explanation:
Given that the shape s is exactly one quarter of solid sphere.
Where the volume of the shape s is 1994πcm^3.
The formula for volume of a sphere is
V = 4/3πr^3
The volume will be divided by 4 since the given solid is exactly quarter of solid sphere. Then equate it to the given value
1994π = 4/3πr^3 × 1/4
The π will cancel out
1994 = r^3/3
Cross multiply
5982 = r^3
r = cube root of 5982
r = 18.2 cm
The surface area of a sphere is
A = 4πr^2
Substitute r in the formula
A = 4× π × 18.2^2
A = 4141
Since the shape is exactly one quarter of solid sphere. Divide the answer by 4
A = 4141/4
A = 1035.3 cm^2
The surface area of s is therefore 1035.3 cm^2
The surface area of the shape s is approximately 329.53 cm².
Important information:
Shape s is exactly one-quarter of a solid sphere.The volume of the shape s is 1994π cm².Sphere:Volume of a sphere is:
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
The volume of one-quarter of a solid sphere is 1994π cm².
[tex]1994\pi=\dfrac{1}{4}\times \dfrac{4}{3}\pi r^3[/tex]
[tex]1994\pi=\dfrac{1}{3}\pi r^3[/tex]
[tex]\dfrac{1994\pi\times 3}{\pi}=r^3[/tex]
[tex]5982=r^3[/tex]
Taking cube root on both sides, we get
[tex]\sqrt[3]{5982}=r[/tex]
[tex]r\approx 18.153[/tex]
Surface area of a sphere is:
[tex]S=4\pi r^2[/tex]
Surface area of one quarter of solid sphere is:
[tex]S=\pi r^2[/tex]
[tex]S=\pi (18.153)^2[/tex]
[tex]S=329.5314\pi[/tex]
[tex]S\approx 329.53\pi[/tex]
Therefore, the surface area of the shape s is 329.53 cm².
Find out more about 'Sphere' here:
https://brainly.com/question/16415229
Use the graph to evaluate the function below for specific inputs and outputs.
Answer:
y = G(x) = 6, when x = -4
y = G(x) = -2, when x = 3
Step-by-step explanation:
From the attached graph tracing the first point to the graph and then to x axis.
y = G(x) = 6
as shown on the attachment(by the thick line)
y = G(x) = 6, when x = -4
From the attached graph tracing the second point to the graph and then to x axis.
y = G(x) = -2
as shown on the attachment(by the thin line)
y = G(x) = -2, when x = 3