Answer:
x = y/( ku-1)
Step-by-step explanation:
Here in this question, we are asked to solve for x.
we have;
Ux = x+ u/ k
cross multiply;
k * Ux = x + y
kUx = x + y
kUx- x = y
x(KU-1) = y
x = y/( ku-1)
If a school camp has enough food for 150 students over 5 days
How long would the food last for is only 100 students are there
Answer:
It is over 7 days
hope it helps
PLEASE ANSWER QUICKLY ASAP
READ QUESTIONS CAREFULLY
Answer:
see explanation
Step-by-step explanation:
Corresponding angles within the similar figures are congruent, thus
x = ∠ A = 52°
h = 7 × 1.5 = 10.5 cm
From B to A then divide by the scale factor, that is
w = 12 ÷ 1.5 = 8 cm
Can someone help!!! And explain please
Answer:
400(π+2) feet square
Step-by-step explanation:
let x be the diagonal of the cage=40√2 at the same time it is the radius of the circle ( the tiger can go in circle)
but since the cage is part of the circle and not full turn πr²/8
area of the circleπr²+ half area square
(π(40√2)²)/8 +40²/2
3200π/8+1600/2
400π+800
400(π+2) feet square
[tex](\sqrt{20} - 2\sqrt{45} +\sqrt{5} )*\sqrt{5}[/tex]
Answer:
-15Step-by-step explanation:
[tex](\sqrt{20} - 2\sqrt{45} +\sqrt{5} )*\sqrt{5}[/tex]
[tex] = \sqrt{20} \times \sqrt{5} - 2 \sqrt{45} \times \sqrt{5} + \sqrt{5} \times \sqrt{5} [/tex]
[tex] = \sqrt{100} - 2 \sqrt{225} + \sqrt{25} [/tex]
= 10 - 2 × 15 + 5
= 10 - 30 + 5
= 15 - 30
= -15 (Ans)
A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 6 gallons.
Answer:
3.625 gpm
Step-by-step explanation:
i will mark brainlist!!
Answer:
3/5 + 2 3/4 = 3 7/20
Step-by-step explanation:
2 = 8/4
2 3/4 = 2 + 3/4
then:
3/5 + 2 3/4 = 3/5 + 8/4 + 3/4
= 3/5 + (8+3)/4
= 3/5 + 11/4
3/5 = 12/20
11/4 = 55/20
then:
3/5 + 11/4 = 12/20 + 55/20 = 67/20
67/20 = 60/20 + 7/20 = 3 + 7/20
= 3 7/20
which of the following is equal to the rational expression when X ≠ 2 or 1?
Answer:
[tex]\frac{x+5}{x-2}[/tex]
Step-by-step explanation:
One number is three times another number. If the sum of the numbers is 36, determine the two numbers.
Step-by-step explanation:
A=3B
A+B=36
3B+B=36
4B=36
B=36/4
Step-by-step explanation:
let x represent the smaller number
3x is the second number
x+3x=36
4x=36
4x/4=36/4
x=9
the second number is 3(9)
=27
A meter is a unit of length approximately equal to 39.37 inches. If someone is 1.64 meters tall, what is his or her approximate height in inches?
Answer:
64.5668 inches tall
Step-by-step explanation:
If you set up a proportion, you would have to do 1.64 times 39.37, which would equal 64.5668 inches.
What is the volume of the composite figure?
Answers:
192ft^3
96ft^3
76ft^3
152ft^3
Answer:
68 ft³
Step-by-step explanation:
Take the above figure to be 2 rectangular prism. A smaller prism on top, and a bigger one under.
Volume of the smaller rectangular prism on top:
[tex] Volume = whl [/tex]
Where,
w = 2 ft
h = 4 ft
l = 4 ft
[tex] Volume = 2*4*4 = 32 ft^3 [/tex]
Volume of bigger Rectangle prism under:
w = 2 ft
h = 3 ft
l = 6 ft
[tex] Volume = 2*3*6 = 36 ft^3 [/tex]
Volume of composite figure = 32 + 36 = 68 ft³
Answer:
Step-by-step explanation:
The correct answer is 76
Big prism: 4x8x2=64
What's Left: (6-4)x2x3=12
64+12=76
which phrase best describes the relationship indicated by the scatterplot? A. Constant correlation B. negative correlation C. positive correlation D. no correlation
Answer:
No Correlation
Step-by-step explanation
Simply because they are all spread out and you cant make a accurate line out of the points.
Please help, 20 points. Answer choices in the photo
The graph below shows the height of an object that has been launched off a 50 foot high wall. Approximately how long will it take to hit the ground?
Answer:
4.4
Step-by-step explanation:
Answer:
t = 4.4 seconds
Step-by-step explanation:
It hits the ground when the height is equal to zero
This occurs just before 4.5 seconds
t = 4.4 seconds
Remember, a percent is a fractional part
of 100. In a bag of candy, 15 of the 50
pieces are red. What percentage of the
candy is red?
mex
B 50%.
C 3006
D 659
Answer:
Step-by-step explanation:
B
Answer:
The answer would be 30% (although I don't see that as an answer).
Step-by-step explanation:
This is because when you multiply the denominator times a number that makes the denominator 100 and multiply that same number by the numerator you get the percentage of the sample you are looking at on the numerator.
15/50 = (15*2)/(50*2) = 30/100 = 30%
Juana wants to use the numbers 8, 6, 3,
and 2 to create her 4-digit ATM code.
She will not repeat any digits. How many
different codes could she create?
1/4x + 2/3 =19/12 I don’t understand how to do this equation
Answer:
X=11/13
Step-by-step explanation:
First, convert the non-variable fractions to a common denominator.
1/4x+8/12=19/12
1/4x=19/12-8/12
1/4x=11/12
x=11/12*4/1
x=44/12
x=11/3
The average weight of the top 5 fish caught at a fishing tournament was 12.3 pounds. Some of the weights of the fish are shown in the table.
What was the weight of the heaviest fish?
Answer:
14.6
Step-by-step explanation:
It is given that,
The average weight of the top 5 fish caught at a fishing tournament was 12.3 pounds. From the attached figure, the weight of 5 fish are given. We need to find the weight of Wayne S. fish.
Average = sum of terms/no of terms
Let the weight of Wayne S. is x. So,
Here the sum of terms is x+12.8+12.6+11.8+9.7 and the number of terms is 5.
[tex]12.3=\dfrac{x+12.8+12.6+11.8+9.7}{5}\\\\61.5=x+12.8+12.6+11.8+9.7\\\\61.5=x+46.9\\\\x=14.6[/tex]
So, the weight of the heaviest fish is 14.6.
I need help with multistep equations
Answer:
1 2/3 = m
Step-by-step explanation:
2/3 = m+3/5 -8/5
Combine terms
2/3 = m-5/5
2/3 = m -1
Add 1 to each side
2/3 +1 = m-1+1
2/3 +3/3 = m
5/3 = m
1 2/3 = m
Answer:
[tex]\large \boxed{\sf m = \frac{5}{3} }}[/tex]
Step-by-step explanation:
2/3 = m + 3/5 - 8/5
Subtract the fractions since the denominators are same.
2/3 = m -5/5
Simplify the equation.
2/3 = m - 1
Add 1 to each side.
5/3 = m
Given: AB ∥ DC , m CB =62°, m∠DAB=104° Find: m∠DEA, m∠ADB
Answer: m∠DEA = _________, m∠ADB =_______
Answer:
The values of the angles are;
m∠DEA = 62°, m∠ADB = 45°
Step-by-step explanation:
Specify an arc or an angle three letters
Angle opposite an arc on the circumference
m DA ≅ m CB = 62° (Arc between parallel lines are congruent)
∠CAB = 1/2 × m CB = 1/2 × 62° = 31° (Angle at the center = 2 × Angle st the circumference)
∠DBA = 31° (Angle at the center m DA = 2 × Angle st the circumference)
m∠DAB = 104° (Given)
∠ADB = 180° - m∠DAB - ∠DBA = 180° - 104° - 31° = 45° (Interior angles of triangle ΔADB
m∠ADB = 45°
∠AEB = 180 - ∠CAB - ∠DBA = 180° - 31° - 31° = 118°
∠AEB ≅ ∠COD (Vertically opposite angles)
∠DEA ≅ ∠CEB (Vertically opposite angles)
∠AEB + ∠COD + ∠DEA + ∠CEB = 360° (Sum of angles at a point)
118° + 118° + ∠DEA + ∠CEB = 360°
∠DEA + ∠CEB = 360° - 118° - 118° = 124°
Given that ∠DEA = ∠CEB we have;
2 × ∠DEA = 124°
∠DEA = 124°/2 = 62°
m∠DEA = 62°.
A mural inspired by a photograph measures 108 inches by 180 inches. The scale of the photograph to the mural is 1.:12 in. What are the dimensions of the photograph
Answer:
108 inches and 2160 inches
Step-by-step explanation:
108 inches = 274.32 cm
180 inches = 457.2 cm
The area of the mural, A1 = 274.32 X 457.2 = 125419.1 cm²
Let the area of the photograph = A2
The scale A1 to A2,
1/12 = A1/A2
1/12 = 125419.1/A2
∴ A2 = 12 X 125419.1 = 1505029.2 cm²
For their lenghs
1/12 = L1/L2
1/12 = 457.2/L2
L2 = 12 X 457.2 = 5486.4 cm (or 2160 inches)
The width of the photograph
1505029.2/5486.4 = 274.3 cm ( 108 inches)
The password for a certain safe is indicated by multiplying (x^2-16)/(x-1) with 1 / ((x ^ 2 + 6x + 8) / (x ^ 2 + 2x-3)) . Knowing that the value of X = 9. What is the numeric value of the password.
Answer:
5.455Step-by-step explanation:
If the password for a certain safe is indicated by multiplying (x^2-16)/(x-1) with 1 / ((x ^ 2 + 6x + 8) / (x ^ 2 + 2x-3))
Simplify the expression in its lowest term first
[tex]= \dfrac{x^2-16}{x-1} * \dfrac{1}{\dfrac{x ^ 2 + 6x + 8}{x ^ 2 + 2x-3} } \\\\= \dfrac{x^2-16}{x-1} * }{\dfrac{x ^ 2 + 2x - 3}{x ^ 2 + 6x + 8} }\\\\= \dfrac{ (x+4)(x-4)}{x-1} * \dfrac{(x+3)(x-1)}{(x+4)(x+2)}\\\\= \dfrac{x-4}{1} * \dfrac{x+3}{x+2}\\[/tex]
If the value of x = 9, to get the numeric value of the password, we will substitute x = 9 into the resulting function as shown;
[tex]= \dfrac{x-4}{1} * \dfrac{x+3}{x+2}\\\\= \dfrac{9-4}{1} * \dfrac{9+3}{9+2}\\\\= \frac{5}{1} * \frac{12}{11}\\\\= \frac{60}{11}\\ \\= 5.455[/tex]
Hence the numeric value of the password is 5.455
Evaluate the expression when a=-7 and x=6 .
X-2a
Answer:
=X-2a
= 6- 2× (-7)
= 6 + 14
= 20
✌✌✌✌
What is the recursive definition for 25,20,15,10?
Answer:
aₙ = 30 - 5n
Step-by-step explanation:
25,20,15,10, ...
We see from the given series that it is AP with:
First term = 25Common difference = -5 and it is decreasing seriesThen formula is:
aₙ= a₁ + (n-1)daₙ= 25 + (n-1)(-5) aₙ= 25 - 5n + 5aₙ = 30 - 5nPQRS is a parallelogram. Find the values of a and b. Solve for the value of c, if c=a+b.
Answer:
i. a = 7
ii. b = 7
iii. c = 14
Step-by-step explanation:
1. In a parallelogram, the pair of opposite sides are equal, thus;
6a + 10 = 8a -4
4 + 10 = 8a - 6a
14 = 2a
Divide both sides by 2,
a = 7
2. <SPQ + <PSR = [tex]180^{0}[/tex]
(18b - 11) + (9b + 2) = [tex]180^{0}[/tex]
18b + 9b + 2 -11 = [tex]180^{0}[/tex]
27b -9 = [tex]180^{0}[/tex]
27b = [tex]180^{0}[/tex] + [tex]9^{0}[/tex]
27b = [tex]189^{0}[/tex]
Divide both sides by 27,
b = 7
Therefore,
c = a + b
= 7 + 7
= 14
c = 14
I will give brainliest to the correct answer!! Find the vertex and the length of the latus rectum. x= 1/2(y - 5)² + 7
Answer:
Vertex =(5,7)
Latus rectum = 2
Step-by-step explanation:
The general equation of a parabola can be expressed as x = a(y-h)²+k where 'a' is a constant and (h,k) is the vertex of the parabola.
Comparing the general equation with the given equation x= 1/2(y - 5)² + 7, it can be seen that a = 1/2, h = 5 and k = 7. Hence the vertex of the equation is (5,7) on comparison.
The length of the latus rectum of a parabola is 4a
On comparing the equation with the general equation, a = 1/2
Length of the latus rectum = 4(1/2)
Length of the latus rectum = 4/2 = 2
Hence the vertex is (5,7) and the length of latus rectum is 2
Consider that 45% of Americans own a dog, 25% of Americans own a cat, and 40% of Americans own neither. Draw a Venn Diagram for this situation. Be sure to label every region of the Venn Diagram with a word AND the percentage of Americans that fall in each category.
Answer:
See below
Step-by-step explanation:
40% own neither, it means 100% - 40% = 60% own either a dog or a cat.
Since 45% own a dog, 60% - 45% = 15% own a cat but not a dog.
Since 25% own a cat and 15% own only a cat, 25% - 15% = 10% own a dog and a cat.
Now, 10% out of 45% own both pets, 45% - 10% = 35% own only a dog.
All the numbers reflected in the attached Venn diagram:
35% - dog10% - both15% - cat40% - neitherSix years from now, Olivia will be three times older than she is today. How old is she?
4
5
2
3
and
The correct order of steps in solving a word problem is:
Determine variables for unknowns, create an equation, solve for the unknown variable, check that the left side of the equation equals the right side
Create an equation, determine a variable for the unknown, solve for the unknown, check that left side equals right side
Determine a variable for the unknown, create an equation, check that left side equals right side, solve for the unknown variable
Determine the variable for the unknown, create an equation, solve for the unknown
Answer:
She is three years old.
Step-by-step explanation:
If she is 3, then six years from now she will be nine.
3 * 3 = 9
A boy is twice as tall as his little sister and he is 30 cm shorter than his father. The
combined height of these three family members is 3.8m.Write an appropriate
equation, using h' as the sister's height and use this to find the boy's height in cm.
Boy = x
His Sister = y
Father = z
x = 2*y
y = x/2
x = z-30 or z = x+30
3.8 m = 380 cm
x+y+z = 380
x + x/2 + x+30 = 380
multiply by 2
2x +x + 2x +60 = 760
5x = 700
x = 140 cm
y = x/2
= 140 /2 = 70 cm
z = x+30
= 140 + 30 = 170 cm
There
x (Boy) = 140 cm
y (His Sister) = 70 cm
z (Father) = 170 cm
Using an appropriate equation, the boy's height is 140 cm.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Let Boy = x and His Sister = y
Father = z
So, x = 2*y
y = x/2
x = z-30 or z = x+30
Now, substitute
3.8 m = 380 cm
Equation form;
x+y+z = 380
x + x/2 + x+30 = 380
then multiply by 2
2x +x + 2x +60 = 760
5x = 700
x = 140 cm
Thus,
y = x/2 = 140 /2 = 70 cm
z = x+30 = 140 + 30 = 170 cm
There are x (Boy) = 140 cm
y (His Sister) = 70 cm
z (Father) = 170 cm
Hence, Using an appropriate equation, the boy's height is 140 cm.
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ5
4/10=x/1 Need help thx
Answer:
2/5 =x
Step-by-step explanation:
4/10 = x/1
4/10 =x
Simplify
2/5 =x
Answer:
x=0.4
Step-by-step explanation:
4/10=0.4
x/1 has to equal 0.4 too
0.4/1
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
a cake recipe calls for 2 1/2 cups of sugar. A caterer had 37 3/4 cups of sugar on hand. how many cakes can he make?
Answer:
Step-by-step explanation:
Set this up as a ratio of number of cakes to cups of sugar, C:S
Then the ratio given is 1:2.5 which says 1 cake takes 2.5 cups of sugar. We want to know how many cakes, x, will be made with 37.75 ups of flour:
[tex]\frac{1}{2.5}=\frac{x}{37.75}[/tex] and cross multiply to solve:
2.5x = 37.75 so
x = 15.1 cakes or just 15 cakes (cuz you can't make one-tenth of a cake!)
ANSWER QUICKLY PLZZZZZZ
Answer:
A= 17 B= 19
Step-by-step explanation:
Answer:
a) 17 cups water
b) 19 cups rice
Step-by-step explanation:
w = 1.5r + 0.5
For 11 cups of rice, r = 11.
w = 1.5(11) + 0.5
w = 16.5 + 0.5
w = 17
For 11 cups of rice, 17 cups of water are needed.
With 29 cups of water, w = 29.
29 = 1.5r + 0.5
28.5 = 1.5r
r = 19
With 29 cups of water, 19 cups of rice can be cooked.