Answer:
We know that 8 teams of students shared 47 pizzas.
The only thing we can assume is that the 47 pizzas where divided evenly between the teams, so the number of pizzas that each team gets is equal to the quotient between 47 and 8, or:
47/8 = 5.875
But this is not a whole number, and this happens because 47 is not a multiple of 8.
Then we can do:
47 = 40 + 7
And 40 is a multiple of 8.
40/8 = 5
Then each team got 5 whole pizzas, and there are 7 pizzas left.
Now, we can assume that each pizza has 8 slices.
Then there are left 7*8 = 56 slices.
And when we divide those by the number of teams, we have:
56 /8 = 7
So each team gets 7 slices from the remainder pizzas.
Then we can conclude that each team gets 5 whole pizzas and 7 slices.
Linda has a shelf that is 56 over 5 inches wide. How many catalogs can Linda arrange on the shelf if each catalog is 4 over 5 of an inch thick? 14, because the number of catalogs is 56 over 5 divided by 4 over 5 9, because the number of catalogs is 56 over 5 divided by 5 over 4 22, because the number of catalogs is 56 over 5 multiplied by 4 over 5 31, because the number of catalogs is 56 over 5 multiplied by 5 over 4
Answer: 14, because the number of catalogs is 56 over 5 divided by 4 over 5.
Step-by-step explanation:
From the question, we are informed that Linda has a shelf that is 56/5 inches wide and that each catalog is 4/5 of an inch thick?
The number of catalogs that Linda can arrange on the shelf will be:
= 56/5 ÷ 4/5
= 56/5 × 5/4
= 56/4
= 14
Answer:
the answer is A 14
Step-by-step explanation:
because the number of catalogs is 5 divided by 4 over 5 9
Clare mixes 2 ½ cups of water with ⅓ cup of orange juice concentrate.
Han mixes 1 ⅔ cups of water with ¼ cup of orange juice concentrate.
Whose orange juice mixture tastes stronger? Explain or show your reasoning.
Answer:
Han had a stronger orange flavor
Step-by-step explanation:
Because he put less water in the mixture.
Answer:
I believe Han's orange juice has a stronger taste of the orange itself. Even though 1/4 is less than 1/3, the amount of water that has been mixed in with the amount of orange juice is less than the 2 1/2. Therefore Clare's is much more diluted with a weaker taste.
Step-by-step explanation:
Hope this helped! <3
It's the inequalitlos Matching Gemel
9514 1404 393
Answer:
B, D, F, H, A, G, E, J
Step-by-step explanation:
It might be helpful to summarize the relationships:
x ≤ . . . . solid dot, left arrow
x ≥ . . . . solid dot, right arrow
x < . . . . open circle, left arrow
x > . . . . open circle, right arrow
_____
Using the above, we find ...
B - 1
D - 2
F - 3
H - 4
A - 5
G - 6
E - 7
J - 8
Solve the problem involving systems of lineas equations
1. Your mother bought 20 kilos of mangoes and apple combined. Mango P60.00 per kilo and apple is P40.00 per kilo. If she paid P 1000.00 for 20 kilos how many kilos of each kind mother bought?
(a) If x is number of kilos of mango and number of kilos of apple, then the equation is:______
(b) Equation for the cost of fruits_______
(c) The system equations are ______ and _________
(d) Solve by any method.
(e) Check if your result will satisfy the problem.
Answer:
x = 10
y = 10
Step-by-step explanation:
60x + 40y = 1000
x + y = 20
a. If x is number of kilos of mango and number of kilos of apple, then the equation is: x + y = 20
b. Equation for the cost of fruits
60x + 40y = 1000
c. The system equations are x + y = 20 and 60x + 40y = 1000
d. Solve by any method.
60x + 40y = 1000 (2)
x + y = 20 (1)
x = 20 - y
Substitute into (2)
60x + 40y = 1000 (2)
60(20 - y) + 40y = 1000
1200 - 60y + 40y = 1000
- 20y = 1000 - 1200
-20y = - 200
y = -200/-20
= 10
y = 10
Substitute y = 10 into (1)
x + y = 20
x + 10 = 20
x = 20 - 10
x = 10
(e) Check if your result will satisfy the problem.
60x + 40y = 1000
60(10) + 40(10) = 1000
600 + 400 = 1000
1000 = 1000
Creating a system of linear equations and solving using elimination method, the number of mangoes and apples purchased is 10.
Let :
Number of apples = a Number of mangoes = bThe system of equations which could be formed :
a + b = 20 - - - - - - (1)40a + 60b = 1000 - - - - - - (2)From (1)
a = 20 - b - - - - - (3)Substitute a = 20 - b into (2)
40(20 - b) + 60b = 1000
800 - 40b + 60b = 1000
Collect like terms
-40b + 60b = 1000 - 800
-20b = - 200
b = 200/20
b = 10
Substitute b = 10 in (3) :
a = 20 - b
a = 20 - 10
a = 10
Therefore, the Number of apples and mangoes purchased is 10
Learn more :https://brainly.com/question/15165519
Is .083 greater than .81
Answer:
no .083 is less than .81
good luck buddy
Answer:
no its is not
Step-by-step explanation:
Thank you . Explain also, please!
Answer: 1/2
Step-by-step explanation:
1. Find the least common denominator (14) and multiply the numerator as much as the denominator
4/14 + 3/14
2. Add the 2 fractions together
4/14 + 3/14 = 7/14
3. Simplify
7/14 divided by 7 = 1/2
The answer is 1/2
A 10 foot ladder leans against a building that is 8 feet off of the ground. At what height would a 25 foot ladder touch the building if both ladders form the same angle with the ground?
Answer:
19.99feetStep-by-step explanation:
The set up will form a right angles triangle:
First we need to get the angle of elevation of the first ladder using SOH, CAH, TOA
The length of the ladder will be the hypotenuse = 10foot
The opposite will be the height of the building = 8ft
Using Sin(theta) = opposite/hyp
sin Theta = 8/10
theta = sin^{-1}0.8
theta = 53.13°
If the length of the ladder is now 25 foot, the height of the building will be calculated as shown;
sin Theta = h/25
sin53.13 = h/25
h = 25sin53.13
h = 19.99feet
Hence the height of the building will be 19.99feet
what is an evaluated expression for -7+6x-4x+3
Answer:
-4+2x
Step-by-step explanation:
-7+3=-4
6x-4x=2x
Answer:
-4 + 2x
Step-by-step explanation:
-7 + (+3) = -4, which is why i included a -4 in the expression
6x - 4x = 2x, which is why i included a 2x in the expression
y=x² - 6x + 5
(Find the vertex, show steps )
pllsssssssss help meeee!!!!
HELP NEED ANSWER ASAP!!!!!!!!!
Answer:
1 /
Step-by-step explanation:
2 x
3 /
4 x
5 /
Basta Yan answer mrron akong anwer key
Find the difference.
[tex](3s^{2} +2st+5t^{2} )-(-2s^{2} +st+7t^{2} )[/tex]
Possible Answers:
A: [tex]5s^{2} +st-2t^{2}[/tex]
B: [tex]s^{2} +st-2t^{2}[/tex]
C: [tex]5s^{2} +3st+12t^{2}[/tex]
D: [tex]s^{2} +3st+12t^{2}[/tex]
Jaxson was filling his pool. When he started, it already contained 486 gallons. He filled it for 95 minutes with water coming out of a hose at a rate of 8.4 gallons per minute. How many gallons of water are in the pool at the end of 95 minutes.Immersive Reader
Answer:
1284 gallons
Step-by-step explanation:
The swimming pool already contained 486 gallons.
Then, Jaxson filled the pool for 95 minutes, so, the total amount of water in the pool at the end of 95 minutes = 486 + filled amount in 95 minutes.
The rate of filling water is 8.4 gallons per minute. i.e
In 1 minute, the amount of water filled = 8.4 gallons.
So, by using the elementary method, in 95 minutes, the amount of water filled = 8.4 x 95 = 798 gallons.
So, the total amount of water in the pool at the end of 95 minutes
=486 + 798 = 1284 gallons.
Find the slope and Y-intercept of parallel lines using only (-4,6)
Which equation represents a proportional relationship?
A.y = x - 2
B. y = x + 2
C. y = 2
D. y = 2.x
Answer:The answer is D because 2x is a known proportional relationship sorry for my previous answer could you please get me brainliest I'm new
Step-by-step explanation:
100!!!!! points
Hey everyone just remember 1:00 pm central SHARP 100 point giveaway first come first serve
comment if you have any questions
Answer:
IGTH BET
Step-by-step explanation:
Answer: NO I’m late...
Step-by-step explanation: *cries
What is 1486.377 rounded to the nearest hundredth?
Answer:
1486.38
Step-by-step explanation:
Answer:
1,486.38
Step-by-step explanation:
Karim wants to buy a shirt that normally sells for $46.50. It is on sale for One-third off. How much does Karim need to pay to buy the shirt on sale?
A.) $15.50
B.) $22.50
C.) $31.00
D.) $41.50
PLEASE HELP ME ASAP
Answer:
$31
Step-by-step explanation:
46.5/3=15.5
15.5×2=31
Answer:
C: 31
Step-by-step explanation:
46.5/3= 15.5
46.5-15.5=31
Hope this helps :)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
um do you need help
Step-by-step explanation:
Answer:
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Step-by-step explanation:
If 15 is 25% of a value, what's that value
Answer:
60
Step-by-step explanation:
Think of 25% as 1/4, multiply 15 by 4, getting you 60.
Answer:
15 is equal to 25% of 60
Step-by-step explanation:
25x/100 = 15
25x = 15 * 100
25x = 1500
x = 1500/25
= 60
hope this helps :)
two sides of a triangle have lengths 11 and 16 what must be true about the length of the third side
Answer: The third side of the triangle must be greater than the sum of sides 11 and 16.
Step-by-step explanation: "Triangle Inequality Theorem." This theorem states that any side of a triangle must be shorter than the other two sides added together.
Please mark this as the brainliest.
Which of the statements below is true?.
A) 45 is 9 times as many as 5
B) 72 is 8 times as many as 9
C) 44 is 4 times greater than 11
D) 63 is 7 times as many as 7
E) 21 is 3 times greater than 9
Answer:
i believe the answer is 3
Step-by-step explanation:
i hope it helps sorry if wrong
When a polynomial 2x^3+3x^2+ax+b is divided by (x-2) leaves remainder 2, and (x+2) leaves remainder -2.Find a and b.
p(x) = 2x³ + 3x² + ax + b when divided by x - 2 and x + 2 leaves the remainders 2 , - 2.
Find:Value of a and b
Solution:✯ g(x) = x - 2
⟹ 0 = x - 2 [ g(x) = 0 ]
⟹ x = 2
★ p(2) = 2(2)³ + 3(2)² + a(2) + b
⟹ - 2 = 2 * 8 + 3 * 4 + 2a + b
⟹ - 2 - 16 - 12 - 2a = b
⟹ - 30 - 2a = b -- equation (1)
Similarly,
✯ g(x) = x + 2
⟹ 0 = x + 2
⟹ x = - 2
★ p( - 2) = 2( - 2)³ + 3( - 2)² + a ( - 2) + b
Substitute the value of b from equation (1).
⟹ 2 = 2 * ( - 8) + 3 * 4 - 2a - 30 - 2a
⟹ 2a + 2a = - 16 + 12 - 2 - 30
⟹ 4a = - 24
⟹ a = - 24/4
⟹ a = - 6
Substitute the value of a in equation (1).
⟹ - 30 - 2( - 6) = b
⟹ - 30 + 12 = b
⟹ - 18 = b
Therefore,
a = - 6
b = - 18.
I hope it will help you.
Regards.
how mint dimes are quarters are in 5 dollars
An airline charges $150 for a ticket and $20 for each bag.
Which equation shows the relationship between the number of bags, b, and the total cost, c, for flying with this airline?
A. b = 20c + 150
B. b = 20 + 150c
C. c = 200 + 150
D. c = 20+ 1500
Answer:
b=20c+150
Step-by-step explanation:
Need some help with this please and thank youuuu
ANSWER THESE QUESTIONS!!! IF U GET IT RIGHT ILL GIVE U A BRAINLIEST
Answer:Picture not clear enough
Step-by-step explanation:
Find the reciprocal of 1/2 .
Answer:
.5
Step-by-step explanation:
1/2 = .5
What is the ratio of the blue shapes to all the shapes in the set below?
A: 4:9
B: 5:9
C: 4:5
D: 5:4
Answer:
B
Step-by-step explanation:
Answer:
B. 5:9
Step-by-step explanation:
The PTA is trying to raise money for an end of the year carnival for a local
school. They are selling t-shirts, s, for fundraisers. Their revenue equation is
represented by the equation below. As a reminder, the revenue equation
describes how much money is brought in during the fundraiser: r(s) = - .1552 + 30s
;Answer:
The answer is below
Step-by-step explanation:
The PTA is trying to raise money for an end of the year carnival for a local
school. They are selling t-shirts, s, for fundraisers. Their revenue equation is
represented by the equation below. As a reminder, the revenue equation
describes how much money is brought in during the fundraiser: r(s) = - .1552 +30s
Their expenses equation is represented by: e(s) = 3s + 200.
A. Find the value of r(s) = e(s)
I
B. Explain what this means in the context of the problem.
Solution:
The revenue is the amount of money gotten by selling goods and products while expenses is the amount of money spent to produce the goods or products.
The revenue is given as:
r(s) = - 0.1552 +30s
While the expenses is given as:
e(s) = 3s + 200.
Since r(s) = e(s), therefore:
3s + 200 = -0.1552 + 30s
30s - 3s = 200 + 0.1552
27s = 200.1552
s = 7.4
s ≈ 7
At break even the expenses and revenue are equal to each other.
This means that if 7 t shirts are produced then the PTA would be at break even.