Step-by-step explanation:
Total no. of students = 40
Total no. of girls = 22
Total no. of boys = 40 - 22 = 18
No. of girls walking to school = 9
No. of girls who cycle to school = 22 - 9
No. of boys who cycle to school = 7
No. of students who take the bus = 10
(6 boys and 4 girls)
No. of boys who walk to school = 18 - (7 + 6) = 5
Total no. of students who walk to school = 9 + 5 = 14
The number of students who walked to school was 14 students
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The equations will be ,
Let the total number of students in the class be A = 40 students
The number of girls in the class = 22 students
The number of boys in class = total number of students - number of girls
= 40 - 22
= 18 students
Now ,
The number of girls who walked to school = 9 students
The number of boys who cycled to school = 7
So , remaining boys = 18 - 7
= 11 students
The number of boys who take bus to school = 6 students
So , remaining boys = 11 - 6
= 5 students
Therefore , the remaining boys in the class walks to school = 5 students
So , the equation will be
And , the total number of students who walked to school =
number of boys in the class that walks to school + number of girls who walked to school
Total number of students who walked to school = 9 + 5
= 14 students
Hence , The number of students who walked to school was 14 students
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Undaunted co
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Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form?
Answer:
Slope = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Let's take two points on the line graphed for a function.
Slope of this linear function = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
Between two points chosen,
Rise = Vertical distance on y-axis (Increase or decrease) from one point to the second
Run = Horizontal distance on x-axis from one point to second
Let the points on the graph are (-8, 0) and (0, 4).
Rise = 4
Run = 8
Therefore, slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex] = [tex]\frac{4}{8}[/tex]
Slope = [tex]\frac{1}{2}[/tex]
Which is the graph of y=3/4x-3
Answer:
need the graph, but go to desmos for answer to graphing questions
Step-by-step explanation:
Guided Practice
CPCTC
Given
KGK
H is the midpoint of GK
Prove:
Side FG - Side JK
Statement
Reason
es
Use the figures below. What is the ratio of AD to JM?
A.2/3
B.6/5
C.3/2
The answer is C. 3/2
QUESTION 16 Which of the numbers below are related in the same way as 3259 and 2? A. 5789 and 29 B. 3174 and 6 C. 2749 and 4 D. 9047 and 12
Answer:
Option (B)
Step-by-step explanation:
Relation between two numbers 3259 and 2,
3259 → 3 × 2 + 5 - 9 = 2
Now we will check the relation in the given options,
Option (A).
5789 → 5 × 7 + 8 - 9 = 34
Option (B).
3174 → 3 × 1 + 7 - 4 = 6
Option (C).
2749 → 2 × 7 + 4 - 9 = 9
Option (D).
9047 → 9 × 0 + 4 - 7 = -3
Therefore, Option (B) shows the same relation.
Determine the sample size required to estimate a population mean to within 10 units given that the population standard deviation is 60. A confidence level of 90% is judged to be appropriate.
Answer: 98
Step-by-step explanation:
Formula to find sample size if population standard deviation is known:
[tex]n=(\dfrac{z^c\times\sigma}{E})^2[/tex] , where [tex]\sigma=[/tex]population standard deviation, [tex]z^c[/tex] =Critical z-value for confidence level, E= Margin of error.
Given: [tex]\sigma=30,\ \ \ E=10[/tex]
Critical z-value for 90% confidence = 1.645
[tex]n=(\dfrac{1.645\times60}{10})^2\\\\=(1.645\times6)^2\\\\=9.87^2\\\\=97.4169\approx98[/tex]
Required minimum sample size = 98
what is 3 divided by 57.6
Answer:
0.0520833333 is the answer
Answer:
0.05208333333 (reoccurring)
Step-by-step explanation:
Simple bus stop division (:
The proportion of observations from a standard Normal distribution that take values larger than -0.75 is about A) 0.2266 B) 0.7704 C) 0.7734 D) 0.7764 E) 0.8023
Answer:
Option C: 0.7734
Step-by-step explanation:
From z-distribution table attached,
P(Z ≤ -0.75) = 0.2266
However, we are looking for proportion of observations from a standard Normal distribution that take values larger than -0.75.
Thus;
P(Z > -0.75) = P(Z ≤ 0.75) = 1 - 0.2266
P(Z > -0.75) = 0.7734
Option C is the correct answer.
If x is the principal square root of 7, what must be true.
A. x = 7², and x is negative
B. x² = 7, and x is positive
C. x = 7², and x is positive
D. x² = 7, and x is negative
Answer:
B
Step-by-step explanation:
x=√7
squaring
x²=7
Examine circle O, where chords AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are congruent.
Point P lies on AB and point Q lies on CD.
Angles APO and DQO are right angles.
The diagram as described in the problem.
Which congruence statement is true?
A.) QD≅QO
B.) OP≅AB
C.) CD≅AP
D.) OP≅OQ
The answer is D.) OP≅OQ
I hope this is the right graph
Need help will mark Brainliest
Answer:
40
Step-by-step explanation:
You know that angle m<SRT is 40, because it's a supplementary angle with 140. 180 - 140 = 40.
Next, you also know that the interior angles of a triangle add up to 180, so you would now make an equation adding all three angles and setting them equal to 180.
40 + 3x + 4 + 8x + 4 = 180
You would now add like terms.
11x + 48 = 180
You would now subtract 48 from both sides.
11x = 132
You would now divide both sides by 11.
x = 12
You would now plug x into m<RST, 3x + 4.
3(12) + 4 = m<RST
36 + 4 = m<RST
40 = m<RST
G(x)=(x-2)(3x+3) find the zeros of the function enter the solution from least to greatest
Hello i need help with that too
Answer: g (x)=(x -2)(3x +3)
lesser x = -1
greater x = 2
Step-by-step explanation:
Divide. Express your answer in simplest form. ○14 ○ 49 ○98 ○28
Answer: 49
see below for work
Answer:
gang gang
Step-by-step explanation:
41 divide by 278.8 hi my name chavoria
12(x-6)and 14(x+14).
plz help
Answer:
138 and 210?
Step-by-step explanation:
Can you Explain how to do this plz
5x-3(x-2)-x
Helppppp I just need you to simplify and show your work plz =)
Answer:
x+6
Step-by-step explanation:
5x-3(x-2)-x
5x-3x+6-x
x+6
John puts $1,500 in a savings account that earns 7% simple interest annually. Find the new
balance in his savings account after three years if John does not deposit or withdraw any
money.
Answer:
$1,815
Step-by-step explanation:
Use the simple interest formula, I = prt
Plug in the values we know:
I = prt
I = (1,500)(0.07)(3)
I = 315
Add this to the original amount:
1500 + 315
= 1,815
So, John will have $1,815 in his account after 3 years.
Answer in Slope form
Answer:
y=1/4x+3
Step-by-step explanation:
A color printer prints 19 pages in 8 minutes.
How many minutes does it take per page?
Answer:
I believe the answer is two
Step-by-step explanation:
19 divided by eight equasl two
which is the right andwer?????????? please help me
Answer:
The first one
Explain to me in words how you would find the slope of this line and explain answer
ABC is similar to XYZ. The lengths of two sides of each triangle are given in the figure. Find the length of side x.
Answer:
x=7/3
Step-by-step explanation:
AB/XY=BC/YZ
The length of {x} is equivalent to 7/3 units.
What is scale factor? How it is used in Dilating sides?Scale factor tells us by how much one quantity is greater than the other. It is denoted by K. Mathematically -
K = a/b.
Rewriting, we get -
a = Kb
If a side length [a] of any 2 - D figure is dilated by a scale factor of [k], then the length of new side will be [Ka].
Given is that ABC is similar to XYZ.
Since, the two triangles are similar, than their corresponding sides will be proportional to each other. This means that the ratio of corresponding sides will be equal. Mathematically -
BC/YZ = AB/XY = AC/YZ = K [scale factor]
We can write -
8/(2[tex]\frac{2}{3}[/tex]) = 7/x
8/(8/3) = 7/x
8 x 3/8 = 7/x
3 = 7/x
x = 7/3
Therefore, the length of {x} is equivalent to 7/3 units.
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Please answer i wanna get this over with h ^-2 / h ^4
Answer:
= h^-6
Step-by-step explanation:
When dividing powers you subtract them (indices rules)
--> -2 - 4 = -6
Hope this helps, please mark as brainliest
X - 2
x2-2x + 3
4.
x + 3
x + 3
Answer:
The equation is likely (x2 -2x -3)/(x+2) and to simplify you can do polynomial synthetic division or long division. Using long division because it works in all cases:
________
x+2√x2 -2x -3 how many times does x go into x2 , x times
x - 4 ______
x+2√x2 - 2x -3 multiply x by x + 2 and create the next row
-(x2 )
-4x - 3 bring down the -3 and repeat first step. how many times does x go into -4x, -4 times
-(-4x - 8) multiply x + 2 by -4
5 (this is the remainder but it must be in the form 5/(x+2)
so the answer is x - 4 + 5/(x + 2). Hopefully, this is what your teacher considers "simplified".
Step-by-step explanation:
Copied this from wyzant.com.
Someone please help answer completely !
Answer:
the answer is [tex]T=\frac{VP}{8}[/tex]
Step-by-step explanation:
V=[tex]\frac{8T}{P}[/tex]
you need to make T the subject of the formula:
step1: multiply P for both sides.
V=[tex]\frac{8T}{P}[/tex]
VP=8T
step2: divide by 8 for both sides.
T=[tex]\frac{VP}{8}[/tex]
the answer is [tex]T=\frac{VP}{8}[/tex]
WHOEVER DOES ALL OF THIS GETS BRAINLYEST AND 5 STARS PLS HELP!!!!!!!!!!!!!!
What is the estimated sum of 8/19 + 6/13?
A. 1/2
B. 1
C. 1 1/2
D. 2
Estimate. 20 9/11 divided by 6 19/20
A. 147
B. 120
C. 4
D. 3
Which of the following is the best estimate of 8 1/8?
A. 7 1/2
B. 8
C. 8 1/2
D. 9
Armenia is baking 24 batches of brownies for the bake sale. Each batch of brownies takes 2 4/5 cups of flour. What is a reasonable estimate of the amount of flour that she will need to bake all twenty-four batches of brownies?
A. 96
B. 72
C. 60
D. 48
What is the estimated difference of 4 9/10 - 1 1/12?
A. 4
B. 3 1/2
C. 3
D. 2 1/2
Which of the following is the most reasonable product of 6 15/17 and 8 21/22
A. 63
B. 56
C. 54
D. 48
What is the estimated sum of ?
A. 7
B. 7 1/2
C. 8
D. 9
What is the estimated sum of 6/7 + 4/7
A. 1/2
B. 1
C. 1 1/2
D. 2
Which of the following is the best estimate of 7/8
A. 0
B. 1/2
C. 1
D. 1 1/2
Which of the following is the best estimate of 24 9/20
A. 23 1/2
B. 24
C. 24 1/2
D. 25
Answer:
1. B
2. D
3. B
4. D
5. C
6. A
7. What is the estimated sum of "?" what are we estimating?
8. C
9. C
10. B
Step-by-step explanation:
1st question
1/4 ≤ 8/19 ≤ 3/4, so round it to 1/2.
1/4 ≤ 6/13 ≤ 3/4, so round it to 1/2.
Estimating:
1/2 + 1/2 = 1
2nd question
220 9/11 divided by 6 19/20 = 2.99542184434
Rounded/estimated = 3
3rd Question
Estimate 8 1/8 (common sense)
8 1/8 = 8.
4th Question
Assuming cups = 2.
2x24 = 48.
5th Question
3
6th Question
Add and estimate
7th question
What is the estimated sum of "?" what are we estimating?
8th question
6/7 > 3/4, so round it to 1.
1/4 ≤ 4/7 ≤ 3/4, so round it to 1/2.
Estimating:
1 + 1/2 = 1 1/2
9th Question
Round 7 to 8. It is over half, so it would be 8, which = 1
10th Question
Half of 20 = 10, 9 isn't above 10.
So round backwards to 24.
Answer:
A)4
72
1
22
3
36
33
3
Step-by-step explanation:
please help im stuck
Answer:
NOT a relation and NOT a function
Instead of having a cake, Ruben wants to make ice cream sundaes at his next birthday party.
He thinks each person will eat 2 cups of ice cream, and there will be 24 people at his party.
How many 1-gallon tubs of ice cream should he buy?
tubs
Answer:
he should buy 3 gallons
Step-by-step explanation:
There are 16 cups in a gallon, and if each person will eat 2 cups, and there are 24 ppl, multiply 24 by 2 to get the number of cups.
24 x 2 = 48.
Then, divide that by 16 (the number of cups in a gallon) to t how many gallons.
48 ÷ 16 = 3
so, he needs 3 gallons
hope this helped!
Liam solved the equation 72=8⋅b. His work is shown. What error did Liam make?