Answer:
Equation 1 would be: 3a+2C
Equation 2 would be: 5a+3C
Step-by-step explanation:
in how many ways can 4 mangoes and 3 apples be distributed among 7 children if each child receives only 2 fruit?
solution
this is what I did. total number of ways without any restriction =900. we have to subtract the case when at least one child doesn't get any fruit. let that be C1∪C2∪C3 and we use the principle of mutual inclusion and exclusion to find that. C1∪C2∪C3=C1+C2+C3−(all two intersections)+3 intersections (no one gets a fruit case) =3⋅60−3+1=178 so case where each child gets at least one fruit =900−178=722.
Is this right, someone saying answer =49
What is the answer to the problem
Answer:
7
Step-by-step explanation:
The sum of the measures of the angles inside a triangle is 180°. Therefore, we can create the equation (6x+5)+60+73=180.
Then we simplify:
1. combine like terms. (6x+5)+60+73=6x+5+60+73=6x+138
2. 6x+138=180, -138 to both sides of the equation. the equation becomes 6x=42.
3. /6 to both sides of the equation. we can reach the conclusion that x=7
The wedge is one-eighth of the wheel of cheese. A cylindrical-shaped wheel of cheese has a radius of 3 inches and height of 1 inch. A wedge of cheese is sliced from the whole. a. Find the surface area of the cheese before it is cut, round to the nearest hundredth. The surface area of the cheese before it is cut is in. $^2$ . b. Find the surface area of the remaining cheese after the wedge is removed, round to the nearest hundredth. The surface area of the remaining cheese after the wedge is removed is about square inches. Question 2 Did the surface area increase, decrease, or remain the same
Answer:
1. a. 75.39 in² b. 65.97 in²
2. Decreased
Step-by-step explanation:
1.
a. Find the surface area of the cheese before it is cut, round to the nearest hundredth.
Since the cheese is a cylinder with radius, r = 3 inches and height, h = 1 inch, its tital surface area, A = 2πr(r + h)
Substituting the values of the variables into the equation, we have
A = 2πr(r + h)
A = 2π(3 in)(3 in + 1 in)
A = (6π in)(4 in)
A = 24π in²
A = 75.39 in²
b. Find the surface area of the remaining cheese after the wedge is removed, round to the nearest hundredth.
Since the area of the wedge, A' is one-eight the area of the cheese, A
A'= A/8
= 75.39 in²/8
= 9.42 in²
The area of the remaining cheese is thus, area of cheese - area of wedge = A - A' = 75.39 in² - 9.42 in² = 65.97 in²
Question 2 - Did the surface area increase, decrease, or remain the same
Since the area of the remaining cheese, A' = 65.97 in² < A = 75.39 in², area of original cheese, the surface area decreased.
A publisher has orders for 600 copies of a certain text from San Francisco and 400 copies from Sacramento. The company has 700 copies in a warehouse in Novato and 800 copies in a warehouse in Lodi. It costs $5 to ship a text from Novato to San Francisco, but it costs $10 to ship it to Sacramento. It costs $15 to ship a text from Lodi to San Francisco, but it costs $4 to ship it from Lodi to Sacramento. How many copies should the company ship from each warehouse to San Francisco and Sacramento to fill the order at the least cost
Answer:
Ship : 600 copies from Novato and 400 copies from Lodi to fulfill order at least cost ( $4600 )
Step-by-step explanation:
Order size :
600 Copies of texts from San Francisco and
400 Copies of texts from Sacramento.
Available notes in the company
700 copies of texts in Novato
800 copies of texts in Lodi
Cost of sending copies of texts
Novato to San Francisco = $5
Novato to Sacramento = $10
Lodi to San Francisco = $15
Lodi to Sacramento = $4
considering Novato
700 copies are available hence the the least cost will be
600 * $5 ( to Francisco ) = $3000
considering Lodi
800 copies are available hence the least cost will be
400 * $4 ( to Sacramento ) = $1600
Therefore the least cost = $3000 + $1600 = $4600
Justin buys ice cream and apples at the store.
He pays a total of $25.24.
He pays a total of $5.14 for the ice cream.
He buys 5 bags of apples that each cost the same amount.
Write and solve an equation which can be used to determine xx, how much each bag of apples costs.
Answer:
$4.02
Step-by-step explanation:
Subtract $5.14 from $25.24.
$25.24-$5.14=20.10
Divide 5 and $20.10
20.10/5= 4.02
so each bag of apples costs $4.02
what is the total of 8 and 4 times y
Answer:
12y?
Step-by-step explanation:
I’m assuming total meansd addition in this case and multiplying that by a variable or “y” would be 12y
i read the question wrong, nvm.
Lena purchased a prepaid phone card for $15. Long distance calls cost .17 cents a minute using this card. Lena used her card only once to make a long distance call. If the remaining credit on her card is $7.01, how many minutes did her call last?
Answer: 47 minutes
Step-by-step explanation:
Answer:
47 minutes is the answer
Last year, Manual opened an investment account with $5400. At the end of the year, the amount in the account had increased by 28.5%. How much is this increase in dollars? How much money was in his account at the end of last year?
At the beginning of spring, Gabriella planted a small sunflower in her backyard.
When it was first planted, the sunflower was 20 inches tall. The sunflower then began
to grow at a rate of 1.5 inches per week. How tall would the sunflower be after 4
weeks? How tall would the sunflower be after w weeks?
Height after 4 weeks:
24
Height after w weeks:
I
Submit Answer
attempt 1 out of 2 / problem 1 out of max 1
Answer:
The sunflower be 40 inches tall after 4 weeks.
Total height of sunflower in w weeks = 20+1.5 w,
Step-by-step explanation:
Given: In the beginning, the sunflower was 20 inches tall.
The sunflower then began to grow at a rate of 1.5 inches per week.
Then, total height of sunflower in 4 weeks = 10+1.5 ×10, where 1.5 ×10= growth in 4 weeks
= 20+20 = 40 inches
So, the sunflower be 40 inches tall after 4 weeks.
Estimate the sum by rounding the numbers to the nearest hundred and then adding: 539 + 221
Answer:
700
Step-by-step explanation:
539 rounded to 500
221 rounded to 200
500 plus 200 is 700
The segments shown below could form a triangle. True B. False
The solutions to quadratic equation are called (select all that applies)
Maximum or Minimum
Parabolas
Line of Symmetry
Zeros
Roots
Answer:
zeros
roots
Step-by-step explanation:
Please help with this
it's the first answer choice
Step-by-step explanation:
If you add all the pieces of data up and divide the total number by 8 (the amount of pieces of data) you will get the mean. For median you just order them from least to greatest and find the one in the middle. Lastly, for mode you just choose the number that shows up the most.
43.1424 divided by 8.56
Answer: 5.04
Step-by-step explanation:
Prince Ivan rides gray wolf and a constant speed from kings castle to the magic apple garden in five hours. on the return trip to kings castle gray wolf runs at that original constant speed for the first 36 km then runs the rest of the way 3 km/h faster. what was grey Wolf original speed if the return trip took 15 minutes less than the trip from kings castle to magic apple garden? (List what the original speed of grey wolf can be)
Answer:
9 km/h or 48 km/hStep-by-step explanation:
Let the distance is d, speed is sAs per given we have:
d/s = 536/s + (d - 36)/(s + 3) = 5 - 1/4Substitute d with 5s and solve for s:
36/s + (5s - 36)/(s + 3) = 19/436(s + 3) + s(5s - 36) = 19s(s + 3)/44(36s + 108 + 5s² - 36s) = 19s² + 57s20s² + 432 = 19s² + 57ss² - 57s + 432 = 0s² - 9s - 48s + 432 = 0s(s - 9) - 48(s - 9) = 0(s - 9)(s - 48) = 0s -9 = 0 ⇒ s = 9 km/hs - 48 = 0 ⇒ s = 48 km/hThe original speed of grey wolf can be 9 km/h or 48 km/h
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer: clockwise 90 degrees
Step-by-step explanation:
Answer:
Clockwise 90º
Step-by-step explanation:
270º/90 = 3
This means to rotate the quadrilateral 3 times amongst the x and y axis.
Counterclockwise 90º x1 = y at (0,-3)
Cc90º x2 or cc180º = y at (3,0)
Cc90º x3 or cc270º = y at (0,3)
If you wanted to move clockwise to (0,3), you'd only have to move 90º
Counterclockwise 270º = Clockwise 90º
What is 37/40 in simplest form
Answer:
It is already explained in simplest form
Step-by-step explanation:
It can be written as 0.925 in decimal form (rounded to 6 decimal places).
help with this question, please
Answer:
12.57 inches
Step-by-step explanation:
the formula is l = x/360 (2 pi r) so you solve from there
what is the area of the trapozoid?
Answer:
8units²
Step-by-step explanation:
area of trapezoid=½(a+b)*h
a=2
b=6
h=2
area of trapezoid=½(2+6)*2
area of trapezoid=½(8)*2
area of trapezoid=4*2
=8units²
Solve for x. Enter your answer in the box below as a fraction in lowest terms, using the slash (/) as the fraction bar.
6/9+x=7/10
For which inequality is x = to 7
A. 12+ x <16
B 15+ x<24
C. 16+ x <23
D. 17+ x > 26
E. 24+x> 31
Answer:
C
Step-by-step explanation:
Answer:
B) 15 + x < 24
Step-by-step explanation:
Find the missing side of each triangle
I can’t remember the steps to doing this/the formula, an explanation would be great thanks!
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2
2^2+6^2=x^2
4+36=x^2
40=x^2
[tex]\sqrt{40}=x[/tex]
[tex]2\sqrt{10}[/tex][tex]=x\\[/tex]
Hope that helps :)
Answer:
sqrt(40) or approx. 6.324555
Step-by-step explanation:
a^2 + b^2 = c^2 (Pythagorean Theorem)
6 is a, 2 is b, and x is c, or the hypotenuse.
Plug in the values
6^2 + 2^2 = x^2
Simplify
36 + 4 = x^2
40 = x^2
Square root both sides
sqrt(40) = x
Wat is a mixed number or whole number: 11/3
Answer:
Not exactly sure what your asking but 11/3 as a mixed number is 3 2/3
Answer:
3 2/3 is the simplified version of 11/3
Step-by-step explanation:
holt mcdougal chapter 7 online answer key
Answer:
saan po yung pic hindi kopo maindihan
Help quickly pleaseee
Answer:
I'm corona positive and isolated feeling depressed just logged in to talk someone but people ignoring me thanks for this behaviour got disappointed bye everyone logging out had a great time
Biased or Random?
Michael wants to determine the amount of time that 7th graders spend studying for tests. He surveys 80 7th grade students as they get to school.
(-247.43)(-5) = (-1)(247.43)-1)(5)
Part G
Next, rewrite the expression by grouping the-1s and grouping the numbers that are not -1s.
Answer:
(-1)(247.43)(-1)(5) = (-1)(-1)(247.43)(5)
Step-by-step explanation:
key answer
Use the net to find the surface area of the regular pyramid.
YOU GET BRAINLEST IF YOU ANSWER CORRECTLY.
Answer:
the answer would be 78.6
Step-by-step explanation:
An equilateral triangle has a side length of 10 units. What is it’s area?
Answer:
[tex]25\sqrt{3}=43.3\ \mathrm{units}[/tex]
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2}ab\textrm{sin}(\theta)[/tex] where [tex]a[/tex] and [tex]b[/tex] are the sides of the triangle and [tex]\theta[/tex] is the angle between those two sides.
The side length are 10, and since its an equilateral triangle, the angle is 60 degrees. Thus, the area becomes [tex]\frac{1}{2}(10)(10)\textrm{sin}(60)=25\sqrt{3}=43.3\ \mathrm{units}[/tex]
plz hurry Cari is 3 years older than her brother Mark. Write Cari's age (c) as a function of Mark's age (m) and determine how old Cari will be when Mark is 15.
(A) c = m + 3; 18 years old
(B) c = m − 3; 12 years old
(C) m = c + 3; 12 years old
(D) m = c − 3; 18 years old
Answer:
A
Step-by-step explanation:
Because she is 3 years older then her brother you would be adding 3 to the age to get cari's age