Answer:
20x simplified
4x(2+3) factored
The ratio of boys to girls in a group is 5:3. If there are 18 more boys than girls, work out how
many people there are in total.
45 boys, 27 girls
============================================================
Explanation:
g = number of girls
g+18 = number of boys, since there are 18 more boys than girls
For example, if g = 7, then g+18 = 7+18 = 25. In this example, we have 7 girls and 25 boys. The problem with this example is the ratio of boys to girls is 25:7 which is not equal to 5:3
We could use trial and error until we land on the solution, or we can use algebra as shown in the next section.
-------------------
The ratio of boys to girls is 5:3, meaning
(number of boys)/(number of girls) = 5/3
which turns into
(g+18)/g = 5/3
after we make the proper substitutions
Let's solve for g
(g+18)/g = 5/3
3(g+18) = 5g
3g+54 = 5g
54 = 5g-3g
54 = 2g
2g = 54
g = 54/2
g = 27
There are 27 girls.
This leads to,
g+18 = 27+18 = 45
So there are 45 boys
In total, we have 27+45 = 72 people
-----------------------------
Checking the answer:
The claim is that 45/27 is the same as 5/3
For now assume that claim is true. Set the fractions equal to each other and use cross multiplication like so
45/27 = 5/3
45*3 = 27*5
135 = 135
The third equation has the same thing on both sides, so it's a true equation. This must mean the first equation is true as well. Therefore, 45:27 and 5:3 are the same ratio and the answer is confirmed.
You could also use your calculator to note that
45/27 = 1.667
5/3 = 1.667
both decimal values are approximate.
The people there are in total of 72 students
Let the ratio of boys to girls be 5x: 3x
The ratio of boys to girls in a group is 5:3.
What is the formula?
no. of boys = 18 + no. of girls
=> 5x = 18 + 3x
=> 5x - 3x = 18
=> 2x = 18
=> x = 18/2
x= 9
No. of boys = 5x
No. of boys= 5 × 9
No. of boys= 45
No. of girls = 3x
No. of girls= 3 × 9
No. of girls= 27
Total = 45 + 27
Total= 72
Hence, there are 72 students there.
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calculate p² +3q when p=2 and q=2
Answer:
10
Step-by-step explanation:
p² +3q
= 2² +3*2
=4 + 6
=10
Answer:
10
Step-by-step explanation:
2² +3*2=4+6=10
Tell me ASAP plz!! Btw Patsy’s Pasta house uses 3/4 of a cup of sauce for every 12 ounces of pasta...good luck
Answer:
4/6
Step-by-step explanation:
Mark bought a car for x dollars. One year later the car was 0.85x. What was the percent decrease.
Answer:
[tex]Let~the~percentage~decrease~be~equal~to~y.\\Then,\\0.85x = x-\frac{y}{100}(x)\\or, 0.85x = x-0.01xy\\or, 0.85x = x(1-0.01y)\\or, 0.85 = 1-0.01y\\or, 0.01y = 1-0.85 = 0.15\\or, y =15\\So, ~the~decrease~of~the~price~is~15%.[/tex]
Alternative method:
[tex]Percentage~decrease = \frac{Initial~Rate-Final~rate}{Initial~Rate}(100) \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\frac{1-0.85}{1}(100) = 0.15(100)=15[/tex]
Answer:
thr percent decrease is 15%
Step-by-step explanation:
you get 1.00 which represent beginning price u subtract the current price 1.00-0.85 you get0.15 which is 15%
Find the value of each variable. If your answer is not an integer, express it in simplest radical form.
PELASE HELP ME
Answer:
hola
com
stas
Step-by-step explanation:
Solve:
3х + y =
5x-7
when , y = 5
Show
your work
Answer: x=6
Step-by-step explanation:
Hope this helps
express in exponential form 200×75
Do you mean exponential form as in scientific notation or as in prime factorization.
Now matter I will do both.
As in scientific notation.
200*75
=150*100
=1.5*10000
=1.5*10^4
As in prime factorization.
200*75
=2^3*5^2*3*5^2
=2^3 * 3 * 5^4
Do the one your teacher ask for :) Hope it helps!
الأولى متوسط
و کدد
الدعبدالحان وظيفة حزلتةر 09
جیره تازمالت
في الرامام
ستم بدم / رود
للمرة الأول: نظمت مؤسسة تربو برحلة لاگده
64 ) البد قسوا على انتاج بحیک دمكم كل وين ما
ه ماهو التلافي النجم الأفواج التي تحصل عليها؟
) هل يوجد في عدد تلامده اوى و
با ماء الرحلة توقفوا لشاور وحد القاء حبه نیم
الحبة الواحدة DA
3615
ماهو الميل الكلية التي دفع كل التلامية ؟
از اعلم ان الكلامير الظلموا من هددي تامالت
على الساعة min
50 اة ووصلوا إلى مدينة جاية لياخوران
»
) ماهي الدا الي استرتها التلامير الوصول إلى
رد لة نداره ؟
3
1ho 5 min å hull the
Answer:
you said This first is the average, and Abd al-Dahan stressed the job of his party, 09 Jira Tazmalt in Al-Ram, in Dam / Rud, for the first time: The Turbo Foundation organized a trip to Jeddah 64) The Bedouin was cruel to the production of your blood every way
Step-by-step explanation:
thank for the info
Please help 2/4
Solve the binomial
4(3d-1)(3d+1)
Answer:Isolate the variable by dividing each side by factors that don't contain the variable.
d=−5
Step-by-step explanation:
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves.
Which equations and solutions describe the situation? Select two options.
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
The equation StartFraction 1 over 8 EndFraction (x + 16) = 76 represents the situation, where x is the food bill.
The solution x = 60 represents the total food bill.
The solution x = 60 represents each friend’s share of the food bill and tip.
The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.
Answer:
1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.
2) The solution x=60 represents the total food bill.
These both answers are correct.
Step-by-step explanation:
Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.
If x is the food bill our equation can be:
(x+16)/8 = 76/8
(x+16)/8 = 9.5
x+16= 9.5*8
x= 76 -16
x= 60
The food bill is x=60.
Step-by-step explanation:
Answer:
A and C
Step-by-step explanation:
got it right on ed
James uses 5 1/2 bags of soil to fill 1/4 of his garden. How many bags will James use to fill his entire garden?
Answer:
22 bags
Step-by-step explanation:
Multiply 5 1/2 by 4 and you'll get 22
Answer:
22 bags
Step-by-step explanation:
5 1/2 for 1/4....4/4 for the whole garden. So you can multiply 5 1/2 times 4
The triangles are congruent by
1. AAS
2. ASA
3. SSS
Answer:
the triangles are congruent by ASA.
URGENT will give brilliant mark For the reaction 2Na + Cl2 ------ 2NaCl, how many grams of sodium chloride can be produced from 500g of chlorine? ( atomic masses : Na = 23 , Cl = 35.5 g/mol) *
1 point
112 g
319 g
409 g
825 g
Answer:
825 g
Step-by-step explanation:
Here's my work:
500g Cl2 l 1mol Cl2 l 2 mol NaCl l 58.5 g NaCl
l 71 g Cl2 l 1 mol Cl2 l 1 mol NaCl
= 823.94 - the rounding can be a little off
The first thing you have to do is convert the 500 g of Cl2 into moles. So you get the mass of Cl which is 35.5, but Cl is diatomic by itself so you multiply 35.5 x 2 and get 71. now on the third column you are comparing the mol ratios of the equation. The equation is 2Na + Cl2 ---> 2NaCl, so you see that there is no coefficient in front of Cl2 so that means there is 1 mol, and then you see that in the product there is a coefficient of 2 in front of NaCl so that means there is 2 moles. Then finally you have to convert the moles backs into grams where you just add the masses of Na and Cl . You multiply across the top and then divide that number by the bottom row.
(a) 50% of 164 (b)75%of 12 (c) 25/2 of 64
help me in these ques
of comparing quantities
Here goes the answer. Please mark brainliest.
60 POINTS!!!!
Your mother is 25 years older than you. Your father is 3 years older than your mother. The product of all three ages are 32,130. How old is your father?
Explanation would be appreciated!
My father is 42 years old as obtained from the cubic polynomial's real root.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
let my age be x years.
So, My mother is (x + 25) and my father is (x + 28) years.
∴ {x(x + 25)(x + 28) = 32130.
(x² + 25x)(x + 28) = 32130.
x³ + 53x² + 700x = 32130.
x³ + 53x² + 700x - 32130 = 0.
Now solving this has only one real solution x = 17.
So, My father is (17 + 25) = 42 years old.
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help me out I will gave points
Answer:
c
Step-by-step explanation:
Find (fxg)(a)?thanks !!
Answer:
12a^2+13a+3
explanation:
multiply:
(3a+1)(4a+3)=(fxg)
12a^2+13a+3
What is 13 divided by 0.22 and round to the nearest hundredth
Answer:
59,09
.........................................................
HELPPPPPP!!!!! ASAPPPPP!!!!
Answer:
c.
Step-by-step explanation:
hopes this helps
QUANTO É 38-39???
E POR QUE???
Answer:
-1
Step-by-step explanation:
negative 1
Someone please help me with this I’m on the verge of crying
Answer:
848.23
Step-by-step explanation:
hope this got you the right anwser
Question please answer thanks if you do
Answer:
Radius = 6 ft
Diameter = 12 ft
Circumference = 37.7 ft
Step-by-step explanation:
The radius of the circle is the measurement from the center of the circle to the edge. The diagram gives us the radius, 6 ft.
Radius = 6 ft
The diameter of the circle is the measurement from the edge of the circle through the center, extending back to the edge. The diameter is equal to double the radius.
6*2=12
Diameter = 12 ft
The circumference of the circle is the distance around its edge or the perimeter of the circle. We use the below equation to solve for it:
[tex]C=\pi d[/tex] where [tex]d[/tex] is the diameter
Plug the diameter (12) into the equation
[tex]C=\pi (12)\\C=37.7[/tex]
(This answer is approximate)
Circumference = 37.7 ft
I hope this helps!
Solve for all values of c in simplest form.
|4-c| = 7
Answer:
Step-by-step explanation:
|4-c| = 7
4-c = ±7
c = 4 ∓ 7 = -3, 11
Help sir! Thank you, Mr Thompson
Problem 1
To find the y intercept, plug in x = 0 and simplify
f(x) = (x-2)(x+4)
f(0) = (0-2)(0+4)
f(0) = (-2)*(4)
f(0) = -8
We have x = 0 pair up with y = -8
The y intercept is (0,-8)
Answer: Choice D
========================================
Problem 2
(x-2)(x+4) is the same as x^2+2x-8 after using the FOIL rule. The distributive property is an alternate option.
The leading coefficient of x^2+2x-8 is 1. Since this leading coefficient is positive, it tells us that the parabola opens upward.
Answer: C) Parabola opens upward
========================================
Problem 3
Answers:
A = h(x)B = f(x)C = g(x)Explanation:
Note that 1-x^2 is the same as -x^2+1 and this has a negative leading coefficient. So the parabola opens downward. That must mean curve C matches with function g(x).
Both f(x) and h(x) have the same leading term of x^2. However, the constant terms are different. Because f(x) has a smaller constant (-4 is smaller than 4) this makes curve B to be f(x), while curve A is h(x). The larger the constant is, the further shifted up the curve will be.
what is 4x-7y=3
x-7y=-15
Answer:
0 i think if im wrong im sorry
Step-by-step explanation:
Answer:
The answer is x=6, y=3
Step-by-step explanation:
Multiply each equation by the value that makes the coefficients of y opposite(−1)⋅(4x−7y)=(−1)(3)x−7y=−15
Simplify.
−4x+7y=−3x−7y=−15
Add the two equations together to eliminate y from the system.−4x+7y=−3+x−7y=−15−3x=−18
Divide each term by −3 and simplify.
x = 6
Substitute the value found for x into one of the original equations, then solve for y.
y = 3
The solution to the independent system of equations can be represented as a point.(6,3)
The result can be shown in multiple forms.
Point Form: (6,3)
Equation Form: x=6, y=3
a 9 foot ladder is placed 4 feet from the base of a building.about how high does the ladder reach
Answer:
8.06 feet
Step-by-step explanation:
use the Pythagorean theorem
9^2 = 4^2 + x^2
81 =16 +x^2
x^2 = 65
x = 8.06 feet
Write three hundred eighty-seven thousandths as a decimal number.
Answer:
0.387
Step-by-step explanation:
Answer:
The answer would be 0.387
Solve for the quotient 8498 / 70
Answer:
121.4 is the answer ❣️
Answer:
The answer I got is 121.4
51^7 -51^6 by 25
__*25
Answer:
Step-by-step:
51⁷-51⁶ = 51⁶(51-1) = 51⁶(50)
50 is divisible by 25, so 51⁷-51⁶ is divisible by 25.
The difference between a number and its square is 20. Find the
numbers.
Answer:
-4 or 5
Step-by-step explanation:
let number be x
x²-x=20
Rearrange
x²-x-20=0
(x+4)(x-5)=0
Separate
x+4=0, x-5=0
x=-4 or 5