A bowl contains 61 red and yellow Skittles. The number of red Skittles is 10 more than twice the number of
yellow Skittles. How many of each color are in the bowl?
Define your variables and write a system of equations that could be used to determine the number of red
Skittles and yellow Skittles in the bowl. (DO NOT SOLVE THE SYSTEM)
Let
Equation 1:
Let
Equation 2:
Answer:
the red skittles be 44 and yellow skittles be 17
Step-by-step explanation:
The computation of the number of each color are in the bowl is as follows;
Let us assume the red skittles be y
And, the yellow skittles be x
The first equation is
x + y = 61
And, the second equation is
y = 2x + 10
Now put the second equation in the first equation
x + 2x + 10 = 61
3x = 51
x = 51 ÷ 3
= 17
And, y = 2 (17) + 10
= 34 + 10
= 44
Hence, the red skittles be 44 and yellow skittles be 17
HELPPP PLS I DON’T UNDERSTAND
Answer:
a.
[tex]h=\dfrac{2A}{b}[/tex]
b.
A = 220 mm²
b = 20 mm
[tex]h=\dfrac{2 \cdot 220}{20}=22 \: {mm}[/tex]
Answer:
A=1/2bh
2*A=1/2bh*2
2A/b=bh/b
h=2A/b
b)h=2(220)/20
height=22mm
Step-by-step explanation:
Brian invests £1800 into his bank account.
He receives 5% per year simple interest.
How much will Brian have after 3 years?
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
Principal ( P ) = £ 1800Rate ( R ) = 5%Time ( T ) = 3 years[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Total amount[tex] \underline{ \underline{ \text{Solution}}}: [/tex]
First , finding the amount of interest :
[tex] \boxed{ \sf{Interest = \frac{PTR}{100}}} [/tex]
⇢ [tex] \sf{Interest = \frac{1800 \times 5 \times 3}{100}} [/tex]
⇢ [tex] \sf{Interest = \frac{27000}{100}} [/tex]
⇢ [tex] \sf{Interest = £ 270}[/tex]
Now , Finding the total amount :
[tex] \boxed {\sf{Total \: amount = Principal + Interest}}[/tex]
⇢ [tex] \sf{Total \: amount = 1800 + 270}[/tex]
⇢ [tex] \sf{Total \: amount = \: £ 2070}[/tex]
[tex] \red{\boxed{ \boxed{ \tt{Our \: final \: answer : brian \: will \: have £ 2070 \: after \: 3 \: year.}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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2 lines that never intersect
Answer:
are parallel
Step-by-step explanation:
PLEASE MARK BRAINLIEST!
Answer:
Your answer is:
Step-by-step explanation:
dun, dun, DUNNN
parallel lines!
I hope this helps!
- sincerelynini
The current temperature is 30°C. Over the next eight hours the temperature decreases and then increases, returning back to 30°C. if the temperature initially decrease by 13°C, how much did it subsequently increase?
Answer:
13°C
Step-by-step explanation:
The number of hours that the temperature fluctuates is irrelevant to the problem.
This problem is asking how many degrees did the temperature increase in order to go back to 30°C after being decreased by 13°C.
Find the new temperature after it decreased:
30°C - 13°C = 17°CIf the temperature after decreasing is 17°C, it needs the same amount it was decreased by to go back to 30°C.
Therefore, the temperature subsequently increased by 13°C to go back to 30°C after being decreased by 13°C.
Solve for a and b. please help.
Answer:
a= 22.5
b= 37.5
Step-by-step explanation:
In △BCD:
Applying Pythagoras' Theorem,
a² +30²= b²
a² +900= b² -----(1)
In △ABC:
Applying Pythagoras' Theorem,
b² +50²= (40 +a)² -----(2)
Substitute (1) into (2):
a² +900 +50²= 40² +2(40)(a) +a² (expand bracket)
a² +900 +2500= 1600 +80a +a²
a² +3400= a² +80a +1600 (simplify)
a² +3400 -a² -80a -1600= 0 (bring everything to 1 side)
-80a +1800= 0
80a= 1800 (+80 on both sides)
a= 1800 ÷80
a= 22.5
Subst. a= 22.5 into (1):
22.5² +900= b²
b²= 506.25 +900
b²= 1406.25
b= √1406.25 (square root both sides)
b= 37.5 (reject negative value since b is a length)
☆(a +b)²= a² +2ab +b²
simplify the expression
-2 - 3n =
Answer:
-3n-2
-3 -3
n=2/3
you would be dividing
it would be N=2/3
Answer:
brainliest plsssss
Step-by-step explanation:
−2−3n
= −2 + −3n
PLEASE HELP (PICTURE INCLUDED)
Which triangle is a 30°-60°-90° triangle?
25 POINTS
The quotient of x-6and 8
Answer:
(x-6)/8
Step-by-step explanation:
it cannot be simplified any further
I hope this helped, and if it did, please mark this as brainliest! Thanks!
Translate each phrase into an algebraic inequality:
Fiona works part time for a legal firm. She can work a maximum of 30 hours
per week.
Let hours = x
She can work a maximum of 30 hours so x can be any number from 30 or below.
The inequality would be: X <= 30
Answer:
Let the maximum time be x
She can work 30 hrs or below ( maximum of 30 hrs)
Therefore, the equation is
[tex] \huge \boxed{x \leqslant 30 \: hours}[/tex]
3 lbs of chicken costs 15 dollars, how much would 7 lbs of chicken cost
Answer:
105
Step-by-step explanation:
7x15=105
Answer: 35
Step-by-step explanation:
If you multiply 5X7 it gives you 35 if 3lbs cost 15 that means every lb cost 5 , or you can add 5 +5 till you get 35
Joe has a rectangular garden that is 6 meters by 5 meters. He wants to enlarge the garden and make it 12 meters by 10 meters. What would this do to the area of his garden?
a. It would be tripled.
b. It would be cut in half.
c. It would be quadrupled.
d. It would be doubled.
Answer:
5 X 6 = 30
12 X 10 = 120
120/30 = 4
answer is C quadrupled
Purple paint is made by mixing red and blue paint in the ratio 5:4
What is one share worth if there is 450 ml of the mixture?
(Hint: 5+4=9, then 450/9=...)
Answer:
50ml
Step-by-step explanation:
5 + 4 = 9
450ml/9 = 50ml
one share is 50ml
PLEASE HELP ME ITS DUE IN 2 HOURS!!!!!!
The area of a circle is 379.94m². Using 3.14 for π, find the circumference of the circle.
Answer:
22π
Step-by-step explanation:
PLEASE HELP! I WOULD TRULY APPRECIATE IT :(
When trying to find solutions to the system of equations
x+y=3
2x+2y = 6
you take several correct steps that lead to the expression 0=0.
Which statement is true?
A x=0 and y=0
B
The system has no solution.
The system has one solution, but we don't know what it is.
D
The system has infinitely many solutions.
Answer:
D
Step-by-step explanation:
Let me know if I was right :( don't be mean pls
Find the sum of interior angles of a 10-sided figure. Explain what formula you used to get the answer.
Answer: 1440°
Step-by-step explanation:
To solve the above question, we'll use the formula (n-2) × 180. In this question, we are told that it has 10 sides. This implies that n= 10. Therefore, using the formula goes thus:
= (n - 2) × 180
where, n = 10
= (10 - 2) × 180
= 8 × 180
= 1440
--3 x 2 x a + 5(-7b) + (12 x c x 4)
Answer:
and 4 easy
2
Step-by-step explanation:
Hlppppppppppppppppppppppp
Answer:
B, C, D, E
Step-by-step explanation:
Mrs. Olga’s $250 investment earns 19% interest compounded annually. What will her balance be after 3 years?
A. $421.29
B. $142.50
C. $171.29
D. $14,250
Answer:
The answer is A. $421.29
Step-by-step explanation:
Just keep finding 19% of the numbers next, and you add that all up and you get the answer.
250 x 19%=47.5. (250+47.5)=> 297.5x19%= 56.525. (297.5+56.525) =>354.025x19%=67.26475
354.025+67.26475=> 421.28975, which can round up to 421.29.
Answer:
easports
Step-by-step explanation:
its in the game
If Mikael makes a deal with his bank every time he spends $10,000 from his bank account which has $10,000 dollars currently and his bank deposits $30,000 into this same account per day. How many days would it take Mikael to accumulate at least $1,000,000
2. A scooter travels 30 feet in 2 seconds at a constant speed.
0
30
distance (feet)
time (seconds)
0
2
3
6
a. What is the speed of the scooter in feet per second?
b. Complete the double number line to show the distance the scooter travels after 1,
3,4, and 5 seconds.
What percent of this grid is shaded?
Answer:
14%
Step-by-step explanation: Just count the boxes they show you what percent it is
3. Spiral Review: Solve the equation algebraically. Show all work. Circle your final solution.
4z +5= - 3z-8
Answer:
z=-13/7
Step-by-step explanation:
1. Add 3z(7z+5=-8)
2. Subtract 5(7z=-13)
3. Divide 7(z=-13/7)
Of the 75 boys in athletics, 6 boys wanted to play tennis. What percent of the boys in athletics wanted to play tennis?
Answer:
4.5%
Step-by-step explanation:
I am pretty sure that 6 percent of 75 is 4.5..
I hope that this helps u
A rectangular prism has a length of 10in, a height of 15in, and a width of 8in. What is its volume, in cubic in?
Answer:
1200 inc^3
Length x width x height
10 x 8 x 15= 1200
If there are 1.61 kilometers in a mile and also 5,280 feet in a mile, then how many feet are there in 3 kilometers?
Answer:
There are 9838.5 feet in 3 kilometers.
Step-by-step explanation:
Given that:
There are 1.61 kilometer in a mile.
1 mile = 1.61 km
Also,
1 mile = 5280 feet
Comparing,
1.61 km = 5280 feet
1 km = [tex]\frac{5280}{1.61}[/tex] feet
1 km = 3279.50
3 km = 3279.50 * 3
3 kilometers = 9838.5 feet
Hence,
There are 9838.5 feet in 3 kilometers.
A distance of 3 kilometers is equal to 9,838.5 feet.
Given to us:
1 miles = 1.61 kilometers,
1 miles = 5,280 feet,
from the above to equations we can conclude,
[tex]1\ miles = 1.61\ kilometers = 5,280\ feet\\ 1.6\;kilometers = 5,280\ feet\\\\1\ kilometers =\dfrac{ 5,280\ feet}{1.61} \\\\1\ kilometers = 3,279.5\ feet[/tex]
So, now for 3 kilometers we can conclude that,
[tex]1\ kilometers = 3,279.5\ feet\\3\ kilometers = (3,279.5\times3)\ feet\\3\ kilometers = 9,838.5\ feet[/tex]
Hence, A distance of 3 kilometers is equal to 9,838.5 feet.
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https://brainly.com/question/1844971
Simplify the expression 7(a-3+4b)
Answer:
7a - 21 + 28b
Step-by-step explanation:
using the distributive property we can multiply 7 to the numbers in the paretheses. doing this we get:
7a - 21 + 28b
What is the sum of m A and m B if angles A and B are supplementary?
A) 0°
B) 45°
C) 90°
D) 180°
Answer:
D) 180°
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find the value of x.
34
х
30
x =
Answer:
If you're multiplying them: 34x * 30x = 1020x^2
If you're adding them: 34x + 30x = 64x
If you're subtracting them: 34x - 30x = 4x
Step-by-step explanation:
Find f(5) for f(x)= 2(2).
A. 8
B. 4
C. 32
D. 2