Answers
Answer:
30 students
Step-by-step explanation:
First, we need to find exactly how many students went to school by car and how many went on the bus.
To do this, we simply multiply the fraction of students that used each transportation method by the total number of students.
[tex]\# \textrm{ of students by car} = \dfrac{3}{8} \times 240 = \dfrac{3 \times 240}{8} = \dfrac{720}{8} = 90 \textrm{ students}[/tex]
So, 90 students went to school by car.
[tex]\# \textrm{ of students on bus} = \dfrac{6}{12} \times 240 = \dfrac{1}{2} \times 240 = \dfrac{240}{2} = 120 \textrm{ students}[/tex]
So, 120 students went to school on the bus.
The number of students that walked to school is the same as the number of students who didn't go in a car or on the bus, so to find the number of students that walked to school, we can subtract the number of students that went by car and on the bus from the total number of students.
[tex]\# \textrm{ of students that walked} = 240 - 90 - 120 = 30 \textrm{ students}[/tex]
Related Questions
5. Mariel volunteers at the
animal shelter 3 times a month.
After 6 months, how many
times has she volunteered at
the animal shelter?
Answers
Toby buys packs of 12 racing cars for R49,99 and sells each racing car for R10 at school
1.1 Determine the cost price per racing car
1.2 calculate the profit toby makes per racing car
1.3 Determine toby's profit margin on one pack 12 racing car
Answers
Answer:
1.1 R5.83
1.2 R70.01
1.3 58.34%
Step-by-step explanation:
Given that he buys a pack of 12 racing cars for R49,99 then the unit cost for a car which is the total cost divided by the number of cars in a pack
= R49,99/12
= R4.17
If each car is sold for R10 then the profit made on each car which is the difference between the cost and the selling price
= R10 - R4.17
= R5.83
The profit margin on one pack of 12 racing cars
Profit margin is the ratio of the profit to the total selling price
The total profit (profit on one pack of 12 racing cars)
= R5.83 * 12
=R70.01
Total selling price = R10 * 12
=R120
Margin = R70.01 / R120
= 58.34%
Examine the rotation. Which best describes point D?
Answers
Elise randomly surveyed students at her school to find out their favorite music. the table shows the results if Elise’s survey. if there are 400 students at Elise’s school, how many can she predict will like pop the best?
Answers
Answer:
125 students
Step-by-step explanation:
according to this survey, she surveyed 80 people, and of the 80 people she surveyed, 25 of them said they like pop best
set up a proportion to find how many students will like pop if there are 400 students at her school:
25/80=x/400
80x=10000
x=125
125 students
The solution set of 12 x squared minus 14 x equals 10 is
Answers
The given quadratic equation has two possible roots as -
{x} = -1/2 and {x} = 1.667.
What is a quadratic equation?A quadratic equation is a equation that is of the form -
y = f{x} = ax² + bx + c
Given is the statement as -
"12 x squared minus 14 x equals 10"
The given function can be written as -
f(x) = 12x² - 14x - 10
Refer to the graph attached. The x - intercepts show the solution of the given quadratic equation. So, we can write -
(x + 1/2)(x - 1.667) = 0
(x + 1/2) = 0 and (x - 1.667) = 0
x = -1/2 and x = 1.667
Therefore, the given quadratic equation has two possible roots as -
{x} = -1/2 and {x} = 1.667.
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A student made two patterns to show multiplication of a decimal by powers of ten. the equations shown for both patterns are incorrect. pattern A
3.675. 10 =3.7650
3.675. 100= 3.67500
3.675.1,000= 3.675000
pattern B
3.675. 10=3.0675
3.675.0.01= 3.00675
3.675. 0.001= 3.000675
explain why the equations in each of the patterns are false. Include in your explanation the values that should appear on the right side of each equation in both patterns to make the equations true.
Answers
If a student made two patterns to show multiplication of a decimal by powers of ten. All the value are incorrect. The correct value are: 36.75, 367.5, 3,675, 36.75, 0.03675, 0.003675.
How to find the correct value?Pattern A
3.675×10 =3.7650 Incorrect
3.675×10 = 36.75 Correct
3.675× 100= 3.67500 Incorrect
3.675×100= 367.5 Correct
3.675×1,000= 3.675000 Incorrect
3.675×1,000 = 3,675 Correct
Pattern B
3.675×10=3.0675 Incorrect
3.675× 10= 36.75 Correct
3.675×0.01= 3.00675 Incorrect
3.675×0.01= 0.03675 Correct
3.675×0.001= 3.000675 Incorrect
3.675×0.001= 0.003675 Correct
The correct value are: 36.75, 367.5, 3,675, 36.75, 0.03675, 0.003675.
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5. Find the value of side x and y. Leave answers in simplest radical form a applicable.
Answers
Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.
What is trigonometry?Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every ahead and move form may indeed be resolved to a set of triangles. Amazingly intricate connections exist between geometry and other areas of mathematics, particularly arithmetic, real or abstract, infinite series, arithmetic, and infinite series.
Here,
Sin 30 = Opposing Side/High
1/2 = 5 / y
y = 5 / (1/2)
y = 10
Cos 30 = Adjustment Side/ Hyp
√3/2 = x/y
√3/2 = x/10
x = 10√3 / 2
x = 5√3
In light of this, the given fractional problem's answer is
x = 5√3 and y = 10.
Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.
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For a given arithmetic sequence, the first term, 47, is equal to 26, and the 37 th term, a37, is equal to 278. th Find the value of the 4th term, a4.
Answers
9514 1404 393
Answer:
47
Step-by-step explanation:
Given:
a1 = 26, a37 = 278
Find:
a4
Solution:
Filling in the given values in the formula for the general term of an arithmetic sequence, we have ...
an = a1 +d(n -1)
a37 = 26 +d(37 -1) = 278
d = (278 -26)/36 = 7 . . . . . . solve for d
Then the 4th term is ...
a4 = 26 +7(4 -1)
a4 = 47
I need help because I don't understand and I need an explanation of how to do it, please.
Answers
Answer:
Step-by-step explanation:
a.we konw DC=2b and DO=OC, so the coordinate of D(-b, 0), C(b, 0)
b.we konw the height of rectangle is h, so the coordinate of A(-b, h), B(b, h).
How many -pound bags of soap flakes can Mr. Newman fill?
Answers
Answer:
where is the other part of the question
Question 6 of 40
Multiply (x2 + 2x + 3)(4x2 – 2x + 1).
O A. 5x2 + 4
O B. 4x + 10x + 17x2 + 8x + 3
O C. 44 + 6x3 + 9x2 - 4x + 3
O D. 44 - 4x2 + 3
Answers
A closet is is 5 feet wide, 3 feet long, and 6 feet tall. A box with dimensions 2 ft × 3 ft × 2 ft is inside the closet.
How much space in cubic feet is left inside the closet around the box?
Enter your answer in the box.
ft³
Answers
Answer:
78 cm³ of space is left inside the closet.
Step-by-step explanation:
Given that,
A closet is is 5 feet wide, 3 feet long, and 6 feet tall. A box with dimensions 2 ft × 3 ft × 2 ft is inside the closet.
We need to find the space is left inside the closet around the box.
Space left = volume of the closet - volume of the box
= 5×3×6 - 2×3×2
= 90 - 12
= 78 cm³
So, 78 cm³ of space is left inside the closet.
Write three ratios that are equivalent to 75% and three
ratios that are equivalent to 100%.
Answers
The three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4 and the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.
What is ratio?
A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.
First we have to write the equivalent ratios for 75%.
Since, 75% can be written as,
75/100
Simplifying this, 15/20
Again simplifying this, 3/4
Hence, the three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4.
Now to write the equivalent ratios for 100%.
Since, 100% can be written as,
100/100
Simplifying this, 20/20
Again simplifying this, 4/4
Hence, the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.
Therefore, the three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4 and the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.
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Tell whether the angles are adjacent or vertical. Then find the value of x.
Answers
Step by step
Vertical angles are opposite each other.
Vertical angles are congruent, or the same
A chef makes small and large snacks to sell at a local art show. He cannot make more than 30
snacks before the show, with no more than 6 large snacks. The chef must make at least 10 small snacks to
earn a profit.
Part A
Let x represent the number of small snacks and y represent the number of large snacks. Given x ≥ 0 and
y 20, select all the inequalities that represent the situation.
0 x≤6
O y ≥ 10
Ox+y≤ 30
O 10x+6y≤ 30
0y≤6
0 x ≥ 10
-01:25
Answers
the inequalities that represent the situation are,
Ox+y≤ 30
0y≤6
0 x ≥ 10
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
Here, given that,
A chef makes small and large snacks to sell at a local art show.
He cannot make more than 30
snacks before the show, with no more than 6 large snacks.
The chef must make at least 10 small snacks to earn a profit.
Let,
x represent the number of small snacks
and y represent the number of large snacks.
Given x ≥ 0 and y 20
So, we get,
the inequalities that represent the situation are,
Ox+y≤ 30
0y≤6
0 x ≥ 10
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Can you please help me faster please help me if you know???!!!
Answers
First we find the sum of the customers with hot drinks:
22+5+48=75
The probability of the drink being large given that it’s a hot drink is:
Large hot drinks/sum of hot drinks= 22/75= 0.293333...≈ 29%.
Answer:
29%
Step-by-step explanation:
5+48+22=75
22/75=0.2933
nearest % is 29%
If the radius is 10 ft, what will be the area of the circle!
Answers
Answer:
314
Step-by-step explanation:
Formula for area -> A= PI times radius squared
10x10=100x3.14+314
Answer:
314.16ft
Step-by-step explanation:
Diameter = 2
×
Radius
Diameter = 2
×
10
Diameter = 20 feet
What is the geometric mean of 12 and 15?
Answers
Answer:
The geometric mean is 9.798
Step-by-step explanation:
Answer:
13.416407864998738
3) Mr. Johnson uses 2.34 yards of yarn to knit a scarf. If Mr. Johnson has a total of 30.42 yards of yarn, how many scarfs will he be able to knit?
Answers
she will be able to knit 13 scarfs
Given ,
Mr. Johnson uses 2.34 yards of yarn to knit a scarfMr. Johnson has a total of 30.42 yards of yarnTo Find : Scarfs Mr John will be able to make if he has 30.42 yards of yarn
2.34 yards of yarn = 1 scarf
30.42 yards of yarn = [tex]\frac{30.42}{2.34}[/tex]
= 13 scarfs
Hence , the number of scarfs Mr John will make with 30.42 yards of yarn is 13
Using data from 50 workers, a researcher estimates Wage = β0 + β1Education + β2Experience + β3Age + ε, where Wage is the hourly wage rate and Education, Experience, and Age are the years of higher education, the years of experience, and the age of the worker, respectively. The regression results are shown in the following table.
Coefficients Standard Error t Stat p-Value
Intercept 7.45 3.79 1.97 0.0554
Education 1.06 0.37 2.86 0.0063
Experience 0.37 0.18 2.06 0.0455
Age −0.02 0.06 −0.33 0.7404
Interpret the point estimate for β1.
A. As Education increases by 1 year, Wage is predicted to increase by 1.06/hour.
B. As Education increases by 1 year, Wage is predicted to increase by 0.37/hour.
C. As Education increases by 1 year, Wage is predicted to increase by 1.06/hour, holding Age and Experience constant.
D. As Education increases by 1 year, Wage is predicted to increase by 0.37/hour, holding Age and Experience constant.
Answers
multiply 5/12 and the multiplicative inverse of -1/4
Answers
Answer:
The answer is -2
Step-by-step explanation:
Hope it helps :)
please help it’s due in half an hour
Answers
Answer:
(a) They asked for one value of x
but I'll give you both
They're 2 and -2
(b)g(-1) = 4
Step-by-step explanation:
For (a) they're are looking for the value of x that is corresponding to 1 on the y axis
If you observe from your graph only -2 and 2 will have a corresponding value of 1 therefore they're the answers
for (b) Just look for the corresponding value of -1(x -axis) on the y axis which is 4
8. If 5/12.5 is equivalent to -4/2x, what is the value of x?
Answers
Answer:
-5
Step-by-step explanation:
[tex]\frac{5}{12.5} = \frac{-4}{2x}[/tex]
[tex]5 \cdot 2x = 12.5 \cdot -4[/tex]
[tex]10x = -50[/tex]
[tex]x=-5[/tex]
Anna has 60 coins in her piggy bank. She notices that she only has dimes and pennies. If she has exactly four times as many pennies as dimes, how many pennies are in her piggy bank?
Answers
43-6
lol sorry im being supperrrrrr lazy rn
Answers
Lee’s fish is 4 centimeters long.
Tia’s fish is 11 centimeters long.
Answers
4. Choose the expression that matches the following statement: three times the difference of
two times a number and 7 taken from 8 of a number.
a) 2x+21
b) 2x - 21
c) -2x - 21
d) -2x - 7
Answers
Could someone use my Gauthmath code 8APGFB to help me gain more tickets? My math review sheet is crazzzzzzy.
Answers
Answer:
Okay
Step-by-step explanation:
I will try to help you
Answer:
Ok I also have a code: F5LS4F
Step-by-step explanation:
I heard you can get tickets in their discord community or something like that.
A town has a population of 18000 and grows at 2% every year. What will be the population after 11 years, to the nearest whole number?
Answers
Answer:
~22381
Step-by-step explanation:
a=starting value = 18000
r=rate = 2%=0.02
Exponential Growth:
b=1+r=1+0.02=1.02
b=1+r=1+0.02=1.02
Write Exponential Function:
y=18000(1.02)^x
y=18000(1.02)
x
Put it all together
\text{Plug in time for x:}
Plug in time for x:
y=18000(1.02)^{11}
y=18000(1.02)
11
Evauate:
y= 22380.73755
y=22380.73755
Round:
y\approx 22381
y≈22381
Multiply the two fractions (1/2)(2/5). Simplify your answer.
A.2/7
B.1/5
C.20/100
D.2/10
Answers
Answer:
b
Step-by-step explanation: