Hey there!
The answer is 13 boys and 16 girls.
We can do this by making an equation, using "x" to represent boys. Knowing there are 3 more boys than girls, we can set up the following equation:
(x + 3) + x = 29
NOTE: "x + 3" represents the number of girls, since there are 3 more girls than boys. "x" represents the number of boys. Now we can solve the equation:
x + 3 + x = 29
Add like terms:
2x + 3 = 29
Subtract 3 from both sides:
2x = 26
Divide both sides by 2:
x = 13
Therfore, there are 13 boys. To figure out girls, we simply add 3, giving us 16.
Have a terrificly amazing day! :D
A school has 1200 students 1/3 are in the upper school. 2/5 in the middle school and the remainder in lower school. How many students are in lower school?
Answer:
257 students in the lower school
Step-by-step explanation:
you want to make the fractions have an equal denominator so make 1/3 5/15s and 2/5 to 6/15's, 5+6= 11/15s that leaves 4/15's for the lower part of the school
4 divided by 15 is 4.6 repeating so divide 1200 by 4.66 and boom
Match the base to the corresponding height.
Base (b)
Height (h)
Answer:
Step-by-step explanation:
Base of a triangle is defined by the segment joining two vertices and height of a triangle is the vertical distance between the base and the third vertex.
Therefore, by following this property, triangles given in first column will match the triangles given in second column. (as figure attached)
Answer: Base of a triangle is defined by the segment joining two vertices and height of a triangle is the vertical distance between the base and the third vertex.
Therefore, by following this property, triangles given in first column will match the triangles given in second column. (as figure attached)
Step-by-step explanation:
I WILL GIVE BRAINLIEST!!!
Answer:
C
Step-by-step explanation:
The area is calculated as width × length , that is
[tex]\frac{50\sqrt{3} }{\sqrt{2} }[/tex] × [tex]\frac{80\sqrt{5} }{\sqrt{3} }[/tex] ( cancel [tex]\sqrt{3}[/tex] on numerator/ denominator
= [tex]\frac{50}{\sqrt{2} }[/tex] × 80[tex]\sqrt{5}[/tex]
= [tex]\frac{4000\sqrt{5} }{\sqrt{2} }[/tex]
To rationalise the denominator multiply numerator/denominator by [tex]\sqrt{2}[/tex]
= [tex]\frac{4000\sqrt{6} }{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex]
= [tex]\frac{4000\sqrt{10} }{2}[/tex]
= 2000[tex]\sqrt{10}[/tex] → C
Answer: The answer is C!
Step-by-step explanation:
Hope this helps, can I please have brainliest?
In the last 4 seasons, Luis scored 14,18, 15, and 25 goals. How many goals does he need to score this year, to end the season with an overall average of 20 goals per season? O A. 29 O B. 27 O C. 30 O D. 28
Answer:
28
Step-by-step explanation:
For Luis to get a mean of 20 he would need:
14 + 18 + 15 + 25 + x (unknown number of goal he needs) / 5 = 20
Therefore 14 + 18 + 15 + 25 + x = 100
Solve for x to get 28
7. Find CE.
X-50
B
D
2x + 3
E
Answer:
15x is the answer ihope this helps:j
The measure of 3 angles of a triangle are 2x, 3x, and (x +60) what is the value of x?
Answer: angle x= 20 degrees
Step-by-step explanation: sum of angles in triangle is 180 degrees.
You count 2x + 3x +(x+60) = 180
6x=120
Solve each equation and check your answer.
2x + 4(3-2x) =
3(2x + 2)
+4
6
X =
Please help
An advertising company charges 150.000
each time a 30-second commercial is aired.
The cost (in thousands of dollars) to
produce the commercial and air it x times is
given by the function C(x) = 150x +300.
Graph the function.
Answer:
this is what i think you were asking for, if not you can use this to make a similar graph
Step-by-step explanation:
*see attached photo*
In 2012, five U.S. Postal stamps cost $2.20. How much did seven stamps cost? (Hint, find the unit rate first) $
Answer:
$3.08 for 7 stamps
Step-by-step explanation:
The unit rate (price per stamp) is:
$2.20
-------------- = $0.44/stamp
5 stamps
Then 7 stamps would cost:
$0.44
------------ * 7 stamps = $3.08 for 7 stamps
1 stamp
If you left a $25.00 on your table for a $21.50 meal, what was the percent of the tip?
Answer:
It was a 16.5% tip!
Please mark brainliest and I hope this answer helped :)
Solve for X (In the Diagram)
Hope y'all are having a good day!!
Answer:
C: 10
Step-by-step explanation:
I multiplied the two of them. And that triangle is 90 degrees
Simplify.
410
44
QU
4-6
Ob
16
ос
44
Od
46
ID
Don't know
Answer:
4⁶
Step-by-step explanation:
10 - 4 = 6
find the value of given expression
[tex] \sqrt{258 \times 258} [/tex]
Answer:
258
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Answer:
√{258×258}=√258²=258 is your answer
An arithmetic sequence has this recursive formula.
What is the explicit formula for this sequence?
Answer: an=8+(n-1)(-6) .
Step-by-step explanation:
y = 2x-10
Find the value of x and y
Answer:
y = 2x - 10
y=-8×
put the value of y in equation
y= 2x-10
-8x = 2x - 10
-8x= -8x
x = -8/-8
x=1
Harriet is cultivating a strain of bacteria in a petri dish, she has 10^3 bacteria in the dish. The bacteria divided every two hours such that the number of bacteria has doubled by the end of every second hour. How many bacteria will Harriet have in the dish at the end of 6 hours?
Answer:
4000
Step-by-step explanation:
A=P(2)^(t/d)
A=future amount
P=starting amount
t=time elapsed
h=doubling time
given
P=10^3
t=6
d=2
A=10^3(2)^(6/2)
A=10^3(2)^2
A=10^3(4)
A=4*10^3
A=4000
4000 bacteria
11. Write and solve and solve an equation to find the measure of
Answer:
39
Step-by-step explanation:
29+112= 141 180-141=39
The planet Venus has an average distance from the Sun of about 67,200,000 miles. Write this number in scientific notation
Answer:
6.72x10^7
Step-by-step explanation:
I hope this helps
What is the area of the trapezoid?
9 yd
8 yd
13 yd
Answer:
area = 88 yd²
Step-by-step explanation:
area = 1/2(b1 + b2)h = 1/2(9 + 13)(8) = 88 yd²
Answer:
88 yd^2.
Step-by-step explanation:
Area of a trapezoid = 1/2 * h * (a + b) where h = height, a and b are lengths of 2 parallel side.
Area = 1/2 * 8(9+13)
= 4 * 22
= 88 yd^2.
Can someone plz help me with this one problem plzzzzz!!!!
Answer:
No.
Step-by-step explanation:
In order for this equation to be true, either the 8 would have to be negative or the 11.
Line segment t and line segment r are parallel. Both line segments are reflected across the y-axis to form line segments t' and r'.
Enter the distance, in units, between line segments t' and r'.
units
Answer:/
I,,,,M SORRYI NEED POINTSSS
Step-by-step explanation:
How long is side c ?
Answer:
you do pythagorean theorem
Step-by-step explanation:
the base is 8 and the side length is 6 so you do 8²+6²
8²=64 +6²=36
64+36=100 you have to square 100 which is 10
C=10
Solve 3/4x+1/4y=5 for y
Answer:
y=3x+20
Step-by-step explanation:
So first, I don't like fractions so I would multiply the whole equation by 4. This will make the equation 3x+y=20. Then you have to isolate the y to find the answer so you should subtract 3x from both sides. This will make the equation look like this y=-3x+20. Therefore, y=3x+20
Without solving determine the number of real solutions for each quadratic equation
b^2-4b+3=0
2n^2 + 7 = -4n + 5
x - 3x^2 = 5+ 2x - x^2
Answer:
Complete the square to determine the number of solutions#1
b² -4b + 3 = 0b² - 4b + 4 = 1(b - 2)² = 1Two solutions#2
2n² + 7 = -4n + 52n² + 4n + 2 = 0n² + 2n + 1 = 0(n + 1)² = 0One solution#3
x - 3x² = 5 + 2x - x²3x² - x² + 2x - x + 5 = 02x² + x + 5 = 0x² + x² + 2*1/2x + 1/4 + 4 3/4 = 0x² + (x + 1/2)² + 4 3/4 = 0No solutionsAnswer:
b^2-4b+3=0
b²-3x-b+3=0
b(b-3)-1(b-3)=0
(b-3)(b-1)=0
either
b=3 or b=1
.
2n^2 + 7 = -4n + 5
2n²+4n+7-5=0
2n²+4n+2=0
2(n²+2n+1)=0
(n+1)²=0/2
:.n=-1
.
x - 3x^2 = 5+ 2x - x^2
0=5+ 2x - x^2-x +3x^2
0=5+x+2x²
2x²+x+5=0
comparing above equation with ax²+bx +c we get
a=2
b=1
c=5
x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1
={-1±√-39}/2
Erika decided to compare her observations to the average annual trend, which shows the water rising 1.8 mm/year. Remember, she used 6.2 years as her time period. Explain how she would calculate the difference between how much the water level fell in the part of the river she observed.
Answer:
Change in water level over thr period Given is 11.16 mm
Step-by-step explanation:
The change in water level. In the part of the river observed will be ;
Water level. = The rate of change in water level per year * period
Rate of change in water level = 1.8mm /year
Number of years = 6.2
The change in water level is thus :
1.8 mm / year * 6.2 years
= (1.8 mm / year * 6.2
= 11.16 mm
Write a real world problem for: 80-3x=53
Answer:
Sam had 80 dollars in his pocket. He was feeling generous, so he handed out equal amount of money to each of his friends. After he handed out the money, he had 53 dollars left. How much did Sam give out to each one of his friends?
Step-by-step explanation:
In this real-world problem, the money he had at the beginning resembles the 80 in the equation. The -3x is the money he gives out to each of his friends. The 53 on the right-hand side is the money he has left after he gives the money away.
i really need help on this question!!!!
Answer:
B. Point M
Step-by-step explanation:
Point N (-4, 2) is 4 units away from the y axis, going left
Point M (-4, -2) is also 4 units away from the y axis, going left
HELP DUE IN 9 MINUTES
Answer:
[tex]x = 18^o[/tex]
Step-by-step explanation:
The vertically opposite angle [tex]2x[/tex] must be equal to the original 36 degrees.
So,
[tex]2x = 36^o\\\implies x = \frac{36^o}{2}\\\implies x = 18^o[/tex]
f varies inversely as the square of d. When d=2, f = 6. Find d when f is 1.5
Answer:
d = 4
Step-by-step explanation:
Given f varies inversely as d² then the equation relating them is
f = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation
To find k use the condition when d = 2, f = 6 , then
6 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
24 = k
f = [tex]\frac{24}{d^2}[/tex] ← equation of variation
When f = 1.5 , then
1.5 = [tex]\frac{24}{d^2}[/tex] ( multiply both sides by d² )
1.5d² = 24 ( divide both sides by 1.5 )
d² = 16 ( take the square root of both sides )
d = [tex]\sqrt{16}[/tex] = 4
Help me please please