Answer:
There are 60 boys and 80 girls in Franklin School.
Step-by-step explanation:
"franklin school has 3 boys for every 4 girls in the fifth grade." means that the ratio of boys to girls is: 3:4
It can also be written as 3/4
Also given
Total number of students: 140
We will use ratios to find the number of boys and girls in shool.
First of all, we have to calculate the sum of ratio which is: 3+4 = 7
Let b be the number of boys and g be the number of girls
Then
[tex]b = \frac{Ratio\ of\ boys}{Sum\ of\ ratio} * Total\ students\\= \frac{3}{7} * 140\\= 3*20\\=60\\g = \frac{Ratio\ of\ girls}{Sum\ of\ ratio} * Total\ students\\g = \frac{4}{7}*140\\= 4*20\\=80[/tex]
Hence,
There are 60 boys and 80 girls in Franklin School.
Write the slope-intercept form of the equation of the line described. Through (-2, -2) parallel to y = -2/7x -5
Answer: y= -2/7x-2
Step-by-step explanation:
To be parrell they have to have the same slope but different y intercepts.
so just put -2 so it will cross that point
Find the area of the figure shown below. Use 3.14 for π and round your answer to the nearest hundredth.
Answer:
ans: 111.54
Step-by-step explanation:
u can simple do by multiple
Answer:
38.24
Step-by-step explanation:
Helppppo!!!!
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Answer:A: yes, f and g are both concave down
B: yes, f and g are both concave up
C: no, f is concave up and g is concave down
D : no, f is concave down and g is concave up
Step-by-step explanation:
Point R is the midpoint of KL. If KR = 7x - 10 and RL = 3x + 34, find KL.
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R is the midpoint of KL ;
Thus R bisects KL , which means :
[tex]KR = RL[/tex]
So :
[tex]7x - 10 = 3x + 34[/tex]
Add sides 10
[tex]7x - 10 + 10 = 3x + 34 + 10 \\ [/tex]
[tex]7x = 3x + 44[/tex]
Subtract sides 3x
[tex] - 3x + 7x = - 3x + 3x + 44[/tex]
[tex]4x = 44[/tex]
Divide sides by 4
[tex] \frac{4x}{4} = \frac{44}{4} \\ [/tex]
[tex]x = 11[/tex]
_________________________________
[tex]KL = KR + RL[/tex]
[tex]KL = (7x - 10) + (3x + 34)[/tex]
[tex]KL = (7 \times 11 - 10) + (3 \times 11 + 34) \\ [/tex]
[tex]KL = (77 - 10) + (33 + 34)[/tex]
[tex]KL = (67) + (67)[/tex]
[tex]KL = 60 + 7 + 60 + 7[/tex]
[tex]KL = 60 + 60 + 7 + 7[/tex]
[tex]KL = 120 + 14[/tex]
[tex]KL = 134[/tex]
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I would really appreciate it if someone could answer and explain how to work this problem I will give a brainless also :)
Answer:
Third choice, angle 5 and 2
Step-by-step explanation:
Vertical angles are opposite angles that are connected by intersecting lines.
5 and 2 are opposite angles and they are connected by, technically, two lines crossing each other.
0.01 is blank times as much as 0.001 please answer i will brainliest
Answer:
100
Step-by-step explanation:
10 times as much
0.001 * 10 = 0.01
change the fraction 2/5 to a percent
A. 25%
B. 40%
C. 7%
D. none none of these choices are correct
Answer: B
Step-by-step explanation:
What are two multiples of 6 between 40 and 50
Answer:
The two multiples are 42 and 48
6 times 7 is 42
and 6 times 8 is 48
Write the slope-intercept from of the equation of the line described. Through (-2, -1) perpendicular to y = 1/4x
Step-by-step explanation:
Slope Intercept Form is "y = mx + b"
What it means?
"m" - slope
"b" - y intercept (0,b)
So, we are given the slope, but not the y intercept..
For now, lets fill in the slope.
y = 1/4x + b
We are given a coordinate pair (-2,-1)
Fill it into the equation and solve for b.
-1 = 0.25(-2) + b
-1 = -0.50 + b
- 0.50 = b
We now have the value of "B"
Fill in the rest of the equation:
y = 1/4x + -.50
^ I think that is correct, sorry if it's wrong.
Ben is planning to sell cookies and popcorn for a school bake sale. He is selling cookies, c, for $0.75 each and popcorn, p, for $1.00 per
bag. Interpret the expression 0.75c+p
the slope of line is -1/3. what is an equation of a line that is perpendicular to line of t
Answer:
well you have to use y=mx and plugg your numbers in
Step-by-step explanation:
sorry its not much help
Pam drivers 14,735 miles in one year. The next year she drivers 13,869 miles. How many miles did she Drive in all?
Answer:28604 in total
Step-by-step explanation:
just copy and paste hope this helps
Answer:
28604 miles
Step-by-step explanation:
Just add the two numbers to get the total number of miles:
14735
+ 13869=
28604
Can you help me please as soon as possible :)
Answer:
what r u finding the surface area or what?
Step-by-step explanation:
Answer:
1.) 36m 2.) 275cm
3.) 52m 4.)
Step-by-step explanation:
1.) First, I would multiply the triangles. The area for triangles is A=BxH/2.
So you would do 4mx3m=12m
12m/2= 6m but you're not done, you still have the rectangle. The area is A=LXW for the rectangle. So you would do 5m x 6m=30m. Finally, add. 30m + 6m= 36m
2.) Same thing as number one, but different numbers.
Triangle: 8cm x 10cm= 80cm
80cm/2= 40cm
Rectangle: 13cm x 15cm= 195cm
80cm + 195cm= 275cm
3.) Same as the last two except for it looks different and different numbers.
ignore the 5 to the left of the triangle.
3m x 8m= 24m
24m/2= 12m
5m x 9m= 40m
40m+12m= 52m
4.) I want you to try it first, then if not come back and ask. Hope it helps.
EASY MATH PLS HELP ASAP
Betsy is three times as old as she was 18 years ago. How many years old is she today?
Answer:
27
Step-by-step explanation:
18 years ago she was 9 and 9 x 3 is 27
An amount of money that is deposited or borrowed that earns or is charged interest is called a what?
Answer:
the principal
Step-by-step explanation:
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A total of $5000 is invested: part at 5% and the remainder at 15%. How much is invested at each rate if the annual interest is $720?
Answer:
At 5% , $300 was invested
At 15%, $4,700 was invested
Step-by-step explanation:
Let the amount invested at 5% be $x and the amount invested at 15% be $y
x + y = 5000 ••••••(i)
Let’s work with the interest;
5% of x + 15% of y = 720
0.05x + 0.15y = 720 •••••(ii)
From i;
x = 5000-y
Insert this into ii
0.05(5000-y) + 0.15y = 720
= 250 - 0.05y + 0.15y = 720
250 + 0.1y = 720
0.1y = 720-250
0.1y = 470
y = 470/0.1
y = $4700
x = 5000-y
x = 5000-4700 = $300
3.
If m
complement of
Answer:
complement of what ?
Step-by-step explanation:
The city bus provides transportation within a 4 mile radius of your house. How much of the city does your bus route cover?
If X equals -5 which number line shows the value of X
Answer:
There is no picture or graph, if you put a graph or picture ill be able to answer it.
Step-by-step explanation:
Determine the domain and range of the function shown in the graph.
Answer:
The domain and range of the function shown in the graph will be:
{x|x ≥ -4}; {y|y ≥ 2}
Thus, option 2 is true.
Step-by-step explanation:
We know that domain is the set of all possible values for which is the function is defined.First, let's check the domain. We see a closed circle at x = -4 and the graph is heading towards +ve infinity i.e. [-4, ∞).
A closed circle means the point is included in the domain.
Therefore, the domain is:
{x|x ≥ -4}
We know that the range is the set of values of the dependent variable for which a function is defined.Now, let's check the range. We see a closed circle at y = 2 and the y-values of the graph are heading towards +ve infinity. i.e. [2, ∞)
Therefore, the range is:
{y|y ≥ 2}
Hence, the domain and range of the function shown in the graph will be:
{x|x ≥ -4}; {y|y ≥ 2}
Thus, option 2 is true.
Graph the line with the equation y=-1/4x+1
Machine A and machine B both make car parts.
Machine A makes 6 parts every 10 minutes.
Machine B makes 13 parts every 15 minutes.
On Monday
machine A makes parts for 12 hours
machine B makes parts for 10 hours
Work out the total number of parts made by the two machines on Monday.
Answer:
Machine A makes 432 on Monday. Machine 2 makes 520 parts on monday. 432+520=952
Step-by-step explanation:
14 + w is the same as which expression?
Answer:
w+14,
Step-by-step explanation:
Find the measure of the missing angle.
77°
Answer: The missing angle is 13°
Step-by-step explanation:
Let ∠B
be the missing angle.
Let ∠A
be the angle that measures
77∘Let ∠C
the right angle that measures
90∘
The following is true of all triangles:
∠A+∠B+∠C=180∘
Express the above equation as
∠B
in terms of the other angles:
∠B=180∘−∠A−∠C
Substitute the values for ∠A and ∠C
∠B=180∘−77∘−90∘
∠B=13∘
A store manager wants to determine how satisfied customers are with the range of products available at the store. The manager arranges for
randomly selected customers at the store's checkout counters to be given a product feedback survey.
What is the sample?
OA. The sample is the randomly selected customers.
OB. The sample is the manager of the store.
OC. The sample is all customers of the store.
OD. The sample is all the store employees.
Brielle’s piggy bank has all nickels and dimes. The total value of the money in her piggy bank is $7.80. If Brielle
has 66 nickels, write and solve a linear equation to find the number of dimes she has.
Which of these is equivalent to 3/8 x 5/6 Answer Correctly Or Dont Answer
A. 15/4
B. 16/5
C. 8/14
D. 8/48
In science class the ratio to girls to boys is 3 to 7.
If their are 50 students in the class, how many boys are there?
Answer:
15 boys
Step-by-step explanation:
7+3=10
10x5=50
there are 3 boys so
3x5=15
Answer:
35
Step-by-step explanation:
Assume 3x is the number of boys in the class.
And 7x as for the girls.
3x+7x=50
10x=50
x=5
Thus, 7*5=35 boys in the science class
Hope this is helpful!
The measure of the angle is 44 times greater than its supplement.
What is the measure of the supplement?
Answer: The measure of it's supplement is 4°
Step-by-step explanation:
If an angle is 44 times is supplement, then we can represent it by the equation x = 44y where x is the angle and y is it's supplement.
Supplementary angles add up to 180 degrees, meaning that x + y = 180.
x = 44y
x + y = 180
Using both equations substitute the value for x in the first equation, into the second equation and solve for y.
44y + y = 180 Combine like terms on the left side
45y = 180 Divide both sides 45
y = 4
This means the measure of it's supplement is 4 degrees.
Now input 4 into one of the equations for y and solve for x to find the main angle.
x = 44(4)
x = 176
This also means that the angle itself is 176 degrees.
The measure of the supplementary angle is 4°.
It is given that the measure of the angle is 44 times greater than its supplement.
We have to find out the measure of the supplement.
What are supplementary angles ?
Two angles are said to be supplementary angles if the sum of two angles is 180°.
As per the question ;
The measure of the angle is 44 times greater than its supplement.
Let's assume the supplementary angle is x .
So,
The other angle will be 44 × x .
We know that sum of two angles if they are supplementary is 180°.
⇒ x + 44 x = 180 °
⇒ 45 x = 180°
⇒ x = 180 ÷ 45
⇒ x = 4°
And the other angle will be ;
= 44 × 4
= 176°
Thus , the measure of the supplementary angle is 4°.
To learn more about supplementary angles click here ;
https://brainly.com/question/26760105
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