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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Find the 8th term of the geometric sequence 4, -12,36,...
It takes a word processor 33 minutes to word process and spell check 6 pages. Find how long it takes her to word process and spell check 26 pages.
Answer:
it would take them 143 minutes
15x+23+6-8x ? what is the answer
Answer:
7x+29
Step-by-step explanation:
Can someone help me pls ♀️
Answer: 420, 81, 270, 216, 264, 154, 1824, 11400, 26741
all in order 1-10
Step-by-step explanation:
a) Si el área de uno de los rectángulos
es de 156 cm2, ¿Cuáles son sus
dimensiones?
Answer:
El problema parece incompleto, asi que lo respondere en una forma general.
Sabemos que para un rectángulo de largo L y ancho W, el área se calcula como:
A = L*W
En este caso, sabemos que el área del rectángulo es:
A = 156cm^2
Entonces tenemos:
156cm^2 = L*W
No tenemos más información del rectángulo, entonces solo podemos llegar a algo como:
L = (156cm^2)/W
Que nos habla de la relación entre el largo y el ancho del rectángulo.
what is the simplified form of the expression 0.2 (3x-3y)?
Answer:
0.6x - 0.6y.
Step-by-step explanation:
0.2 (3x - 3y)
= 0.2*3x - 0.2*3y
= 0.6x - 0.6y.
Probably really annoying well please please please please please please help me
Answer:
What are the top 2 angle measures? i need it to answer.
a=80 (assuming the other 2 angle in that triangle are 55 and 45)
b=80 adjacent angles are equal
c=48
Please help me ................
Answer:
hello
Step-by-step explanation:
-3-1=-4
becouse 3+1=4 and we add minus -
have anice day bye
Answer:
-4
Step-by-step explanation:
Since the first number is a negative integer and its deducting with a negative, it gives a much more negative number. It's basically the same thing as the normal addition you learned in 1st grade, but it's negative instead.
3a≥ -6
solve for a
PLEASE
Answer: Divide each term in 3 a ≥ − 6 by 3 . 3 a 3 ≥ − 6 3 Cancel the common factor of 3 . Tap for more steps... a ≥ − 6 3 Divide − 6 by 3 . a ≥ − 2 The result can be shown in multiple forms. Inequality Form: a ≥ − 2 Interval Notation: [ − 2 , ∞ )
Is 16x2 - 16x + 4 a perfect square?
Answer:
Yes
Step-by-step explanation:
Use the completing the square method:
16(x^2-x)+4
=16((x-1/2)^2 - (1/2)^2)+4
=16((x-1/2)^2 - 1/4)+4
=16((x-1/2)^2) - 16/4 + 4
=16(x-1/2)^2
=4^2(x-1/2)^2
The product of two square is itself a square.
Carrah has these cans of soup in her kitchen:
2 cans of tomato soup
3 cans of chicken soup
2 cans of cheese soup
2 cans of potato soup
1 can of beef soup
Carrah will randomly choose one can of soup. Then she will put it back and randomly choose another can of soup. What is the probability
that she will choose a can of tomato soup and then a can of cheese soup?
2/10 (or 1/5 ) Times 2/10 (or 1/5).
This will equal a 1 out of 25 chance.
You take the number of items you are looking for ( for example, 2 Tomato Cans) Divided by the total items you have (All 10 cans that are a possibility). Then you take your probabilities, and multiply them.
A waitress worked 5 hours at the pizzeria and earned $63.25. How much would the waitress expect to earn in 8 hours
Answer:
101.2
Step-by-step explanation:
If you divide 63.25 by 5, you get 12.65
which is how many you get each hour.
If it were 8 hours, that means it would be 101.2
Answer:
101,2
12,65 for hour
Step-by-step explanation:
Thats the answer
Please helpp!
Which postulate proves these two
triangles are congruent?
A. ASA
B. SAS
C. None, not congruent
D. HL
Answer:
it may be B but I think it's C
Step-by-step explanation:
not sure if this is right, but I would say not congruent. it may be sas but in order for it to be sas then the Angle must be in-between the two congruent sides
Both triangles are congruent by (SAS) side-angle-side postulate.
The correct option is B.
What are congruent triangles?Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical.
Given,
Two triangles
ABC and DEC
AB = DE (Given)
BC = EC (Given)
∠ACB = ∠DCE (Vertical angles at intersection of DB and AE)
By, Side-Angle-side theorem of congruent triangles,
ΔABC ≅ΔDEC
Hence, by side-angle-side (SAS) postulate, both triangles are congruent.
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Write an expression that is the product of two factors and is equivalent to - 2x - 16.
Which expression is the product of two factors and is equivalent to - 2x - 16?
O A. -2x-1-15
OB. -2(x-8)
OC. (8x - 1)-(10x-15)
OD -2(X + 8)
Answer:
D
Step-by-step explanation:
Our answer will be D. We can eliminate choices A and C since they are not products. In other words, they are not multiplying factors together; they are only adding or subtracting.
Answer B does not work, as when it is multiplied out, we get -2x + 16.
When we find the product of D, we distribute the negative and get the correct product, -2x - 16
Nail-polish is on sale for $7 what is the price for 1 nail- polish
Answer:
unkown answer not correct evidence.
Step-by-step explanation:
Answer:
The price for 1 nail polish is $2.35
Step-by-step explanation:
Its correct I took the test.
Simplify this problem
Answer:
there is no problem
Step-by-step explanation:
Answer:
what problem
Step-by-step explanation:
6596
Find the gradients of lines A and B.
y
B
A
NO
4
3
2
1
-B-2-19
2 3 4 5 6 7 X
2
3
Answer:
formula
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Step-by-step explanation:
choose two point of A, let k(-2, -3) and l(1, 3)
[tex] m = \frac{ - 3 - 3}{ - 2 - 1} = \frac{ - 6}{ - 3} = \frac{1}{2} [/tex]
choose two point of B, let c(0, 5) and d(5, 0)
[tex]m = \frac{5 - 0}{0 - 5} = \frac{5}{ - 5} = - 1[/tex]
Hence the gradient of A is
[tex] \frac{1}{2} [/tex]
and B is -1
C
56 cm
33 cm
What is the length of the hypotenuse?
C =
centimeters
Suboth
Answer:
Step-by-step explanation:
Find the value of x. Round your answer to the nearest tenth.
Encuentra el valor de x. Redondea tu respuesta a la décima más cercana.
In the below figure angle abc is 69 degree, angle acb is 31 degree so find the angle bdc
Answer:
[tex]\angle BDC=80^{\circ}[/tex]
Step-by-step explanation:
We are given that
[tex]\angle ABC=69^{\circ}[/tex]
[tex]\angle ACB=31^{\circ}[/tex]
We have to find the angle BDC.
In triangle ABC
Sum of interior angles of triangle=180 degrees
[tex]\angle ABC+\angle ACB+\angle BAC=180^{\circ}[/tex]
[tex]69+31+\angle BAC=180[/tex]
[tex]100+\angle BAC=180[/tex]
[tex]\angle BAC=180-100[/tex]
[tex]\angle BAC=80^{\circ}[/tex]
[tex]\angle BAC=\angle BDC=80{\circ}[/tex]
Angles subtended on the same are ac are equal.
[tex]\angle BDC=80^{\circ}[/tex]
whats is the cost of electricity to run personal computer
Answer: Desktop computers can cost anywhere from $300-$4,000 depending on how good it's inside components are. The average computer might go for around $400. For more advanced computers the price might be $1,000 or more. All in all, the cost of a computer / PC truly depends on how much power you're needing from it.
Step-by-step explanation:
Srry its kinda confusing but I hope it helped
Answer:
We estimate that an average modern desktop PC will use approximately 100 watts of power, not including the display screen. Click calculate to find the energy consumption of a desktop computer using 100 Watts for 6 hours a day with $0.10 per kWh
Step-by-step explanation:
4. Evaluate f(x) = - 9x + 8 at the given value. f(1)=?
Answer:
-1
Step-by-step explanation:
f(x) = - 9x + 8
f(1) = - 9*1 + 8 = -1
Answer: -1
Step-by-step explanation:
f(1) = -9(1) + 8
f(1) = -9 + 8
f(1) = -1
i need help i don understand i got b but it said it was wrong .
Answer:
b is 135 and c is 45.................thanks
Answer:
[tex]b=135\\c=45[/tex]
Step-by-step explanation:
The angle that measures 135 degrees and angle b are opposite angles. Opposite angles are congruent. Therefore, angle b=135.
[tex]b=135[/tex]
A straight line has an angle measure of 180 degrees. This means that 135+c would equal 180 degrees.
[tex]135+c=180[/tex]
Subtract both sides by 135
[tex]135+c-135=180-135\\c=45[/tex]
I hope this helps!
What terms of this expression -3x + 2y - 6 +13x - 6y
helppppp
Answer:
10x-4y-6
Step-by-step explanation:
-3x+2y-6+13x-6y
-3x+13x+2y-6y-6
10x-4y-6
calculate 4 1/5 x 1/3 - 1 1/4
Answer:
3/20
Step-by-step explanation:
4 1/5 x 1/3 =
1 2/5
1 2/5 - 1 1/4 =
3/20
Have a nice day :)
a paper balloon costs php7.50 what is the cost if i buy 6balloons?
Answer:
45
Step-by-step explanation:
Why is 3/10 + 4/10 not equivalent to 9/10 - 3/10
Answer:
The first equals 7/10 while the other equals 6/10
Step-by-step explanation:
That's the answer
.
.
.
.
c) What are zeros of f(x) = 3x2 - 12x - 36
Answer:
Zeros Calculator. The zeros of a polynomial equation are the solutions of the function f(x) = 0. A value of x that makes the equation equal to 0 is termed as zeros. It can also be said as the roots of the polynomial equation. Find the zeros of an equation using this calculator.
Step-by-step explanation:
Please mark me the brainiest if I got it right
is 144 a non real number yes or no
Answer:
No
Step-by-step explanation:
It is not a non-real number, as it it is a real number. Real numbers are any numbers that can exist, and the only imaginary(non-real) numbers are the square roots of negative numbers.
PLEASE HELP!! (20 points)
Find the measure of the missing angle