Answer:
C = 580 children.
A = 420 adult.
Step-by-step explanation:
Let the number of children be C.
Let the number of adult be A.
Translating the word problem into an algebraic equation, we have;
A + C = 1000 .......equation 1
10A + 5C = 7100 .......equation 2
A = 1000 - C .......equation 3
Substituting eqn 3 into eqn 2, we have;
10(1000 - C) + 5C = 7100
10000 - 10C + 5C = 7100
10000 - 7100 = 10C - 5C
2900 = 5C
C = 2900/5
C = 580 children.
Now, to find the value of A.
From equation 3;
A = 1000 - C
A = 1000 - 580
A = 420 adult.
O(-
Determine if (-2, -1) is a Solution or
Not a Solution to the linear system.
y = 3x + 5
x + y = -3
Please answer!!!
Answer:
It is a Solution
Step-by-step explanation:
y=3(-2)+5 y=-1
(-2)+y=-3 y=-1
PLEASE HELP!! WILL GIVE BRAIN AND FIVE STARS
:[tex]\implies[/tex] perimeter (∆HFM) = HM+FM+HF
:[tex]\implies[/tex] 51 = 2x+5+x+8+3x+2
:[tex]\implies[/tex] 51 = 6x+15
:[tex]\implies[/tex] 36 = 6x
:[tex]\implies[/tex] x = 6 units.
in ∆HFM,
HM = 2x+5 = 2(6)+5 = 12+5 = 17units FM = X+8 = 6+8 = 14 units HF = 3x+2 = 3(6)+2 = 20 unitsin ∆KFM,
FM = 14 units KF = 4x-3 = 4(6)-3 = 21 units MK = 3x-1 = 3(6)-1 = 17 unitsSince, all the sides of one triangle does not correspond to the other, these traingles are not congruent.
Hope it helps ⭐⭐⭐Find the square root of 64a^2/9b^2+4+32a/3b
Answer:
[tex]\frac{4.(ab+3^2}{9}[/tex]
Step-by-step explanation:
The Husky student store is selling CIF football playoff tickets. The cost is $6 per child ticket and $12 per adult ticket. The student store sells a total
of 304 tickets and earns a total of $2640. Determine the number of each type of ticket sold. Remember to show all 7 steps
Answer:
Your answer.
X = 168, Y = 136
Thank you. And give my answer as Brainlist answer. Follow me for more
Step-by-step explanation:
Maste
1) 2,000 pounds of sand is to be put into 100-pound bags. Each bag will sell
for $5.00. How much is the sand worth altogether?
Answer: 100$
Step-by-step explanation:
This year, a town has a budget of $1,000,000. Next year, the budget will increase by 2.5%.
What will the town's budget be next year?
A $1,025,000
B) $1,250,000
С
$2,050,000
D
$2,500,000
Answer:
A
Step-by-step explanation:
1000000·2.5=2500000
2500000÷100=25000
1000000+25000=1025000
Find the sum of the arithmetic series given a1
12, d = 4, and n = 30.
A. 8434
B. 4200
C.4216
D. 2100
Answer:
D
Step-by-step explanation:
The sum to n terms of an arithmetic series is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 12, d = 4 and n = 30 , then
[tex]S_{30}[/tex] = [tex]\frac{30}{2}[/tex] [ (2 × 12) + (29 × 4) ]
= 15(24 + 116)
= 15 × 140
= 2100 → D
The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100, therefore the correct answer is D.
What is the Sum of arithmetic series?The sum of n terms of an arithmetic series can be easily found using a simple formula which says that, if we have an arithmetic series whose first term is a and the common difference is d, then the formula of the sum of n terms of the arithmetic series is as follows
Sn = n/2 [2a₁ + (n-1)d].
as given in the problem
a₁ =12, d = 4, and n = 30
Sn = 30/2 [2×12 + (30-1)×4]
= 2100
The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100.
Learn more about the arithmetic series from here
https://brainly.com/question/16415816
#SPJ5
Help mee !! I’ll give points !!
Answer: It is (x - 3)(x + 5)
When I halve it,
the result is 24 less than 46.
what is the number?
Answer: 44
Step-by-step explanation:
46 - 24 = 22 (when halved so you need to multiply by 2)
22 * 2 = 44
Which number is not an integer? Select all that apply.
1.33
a.
b. -7
c.
d. 4
e. O
f. -1.63
Answer:
A and 1.33 and -1.63
Step-by-step explanation:
A integer is a whole number, it's either positive or negative.
2/3 divided by 1/9
?????
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Find the 101th term in the arithmetic sequence -3,-5,-7,-9,-11
The table below represents a function. Which of the following equations could be its function rule?
Answer:
it's the 3rd choice, Y= -3x
A loan of $25,000 has an annual simple interest rate of 5.5%. The total cost of the loan is $38,750.
How much total interest will you pay?
How long does it take to repay the loan?
Please help me out with this guys
To the nearest tenth, find the area of a circle with a
diameter of 8 meters. Use 3.14
Answer:
28.3
Step-by-step explanation:
Mark said he can decompose five six into three fractions with three different numerators and the same denominator is this possible explain
Answer:
1/6 ; 2/6 ; 2/6
Step-by-step explanation:
To split 5/6 into. 3 different fractions with the same denominator and different numerator values;
The integer value of the numerator 5 can be divided into 3 different whole Number values ;
It could be :
5 = 3 + 1 + 1
5 = 2 + 2 + 1
Hence, we could have ;
3/6 +. 1/6 + 1/6
Or
2/6 + 2/6 + 1/3
PLEASE HELP
Which of the following are solutions of the equation (2x-3) (3x+5)=-14
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
A triangle has an area of 55 cm² and a base of 10 cm².
What is the height of the triangle?
Answer:
11 cm
Step-by-step explanation:
Answer:
11 Cm
Step-by-step explanation:
b Base
10
cm
A Area
55
cm²
γ
c
a
h
b
b
h
b
h
b
c
γ
a
b
a
c
b
γ
P
c
γ
a
b
A
Using the formula
A=hbb
2
Solving forhb
hb=2A
b=2·55
10=11cm
help pls i dont no
Step-by-step explanation:
[tex] - 5 \frac{1}{3} \div 3 \frac{1}{10} \\ = \frac{ - 5 \times 3 + 1}{3} \div \frac{3 \times 10 + 1}{10} \\ = \frac{ - 16}{3} \times \frac{10}{31} \\ = \frac{ - 160}{93} [/tex]
So choose option 1st
-1 67/93
Hope it will help :)
Answer: -1 67/93
Explain:
The first one is the answer because you have to keep change and flip and it has to be a negative because when you divide a negative by a positive it gives you a negative
Can I have a brainliest
What's the square root of 64 times 3
Answer:
24
Step-by-step explanation:
Answer:
About 13.86
Step-by-step explanation:
64 x 3 = 192
[tex]\sqrt{} 192[/tex] = 13.8564064606
If you were asking what [tex]\sqrt{64}[/tex] multiplied by 3 was, that answer would be 24. I read it as if you were asking what [tex]\sqrt{64 x 3}[/tex] is. :)
5x+7 but the given x=6
Answer:
37
Step-by-step explanation:
5 x 6 = 30
30+7=37
Answer:
37
Step-by-step explanation:
5x + 7
x = 6
All you need to do is substitute the "x" with "6" since that has been given....
5(6) + 7
30 + 7
37
Hope this helped!
Have a supercalifragilisticexpialidocious day!
If a car travels 7.5 miles in ¼ hour, how many miles will it go in 1 hour?
Please help! Giving points :)!
Answer:
C
Step-by-step explanation:
3/5 + 1/4 = 0.85
0.85 as a fraction is 17/20
So the answer is C
Calculate
8 - 72 - 8+8-6
Answer:
-70
Step-by-step explanation:
Find the measure of
Answer:
m∡GHI = 21°
Step-by-step explanation:
Since the lines are intersecting, GHI and JHK are opposite angles, so they are the same measure.
That means you can set them equal to each other
x + 7 = 3x - 21
x = 14
Now plug x into GHI
14 + 7 = 21
m∡GHI = 21°
Simplify. n6 • n5 • n4 ÷ n3 • n2 ÷ n
Answer:
Step-by-step explanation:
N⁶ · n⁵ · n⁴ ÷ n³ · n² ÷ n
n¹¹ · n⁴ ÷ n³ · n² ÷ n
n¹⁵ ÷ n³ · n² ÷ n
n⁵ · n² ÷ n
n¹⁰ ÷ n
n⁹
Answer:
1
Step-by-step explanation:
because u didnt have 1 plus its counting down on the numbers so i think its 1
Simplify to find the quotients . 24. ) (a ^ 8)/(a ^ 3)
Answer:
a^5 is the answer
Step-by-step explanation:
a^8 / a³
= a^8 - 3
= a^5
Answer:
a^5
Step-by-step explanation:
the graph of part of linear function G is shown on thw grid. which inequality best represents the range of the part shown?
How long will it take for $1,000 to double at a simple interest rate of 5.5%
Answer:
12.63
Step-by-step explanation: