Answer: 40
Step-by-step explanation:
Number of correct questions Sally got = 28 questions
Percentage of correct questions answered= 70% on the exam,
Total number of questions in the exam = Unknown
Let the total questions in the exam be represented as y.
Since Sally got 70% correctly, this will be:
70% of y = 28
70/100 × y = 28
0.7 × y = 28
0.7y = 28
Divide both side by 0.7
0.7y/0.7 = 28/0.7
y = 40
There are 40 questions in the exam.
28. Box A weighs 212.04 kilograms. Box B
weighs 212 kilograms.
Which statement is true?
A. The boxes weigh the same amount.
B. Box B weighs 0.10 of a kilogram more
than Box A.
Box A weighs 0.15 of a kilogram more
than Box B.
D. Box B weighs 0.21 of a kilogram more
than Box A.
Box A, weighing 212.04 kilograms, is 0.04 kilograms heavier than Box B, which weighs 212 kilograms. The difference in weight is due to differing volume and density.
Explanation:The question is asking us to compare the weight of two boxes, Box A and Box B. Box A weighs 212.04 kilograms and Box B weighs 212 kilograms. To compare the weights, we subtract the weight of Box B from that of Box A: 212.04 kg - 212 kg = 0.04 kg. Therefore, the correct statement is: Box A weighs 0.04 of a kilogram more than Box B.
This question measures your understanding of decimal numbers and weight comparison in the metric system, specifically kilograms. In other words, 1 kilogram of one substance is equal in weight to 1 kilogram of another substance. It's the volume and density that might differ between them.
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Gavin and Jim win some money and share it in the ratio 5:2. Gavin gets £39 more than Jim. How much did they get altogether?
Final answer:
To find the total amount of money Gavin and Jim got all together, we need to solve the equation 5x = x + £39, where x represents the amount Jim received. The total amount is £58.50.
Explanation:
To find the total amount of money that Gavin and Jim got altogether, we need to first determine the amounts they each received. Let's say the amount Jim received is represented as 'x'. According to the ratio of 5:2, Gavin received 5 times the amount Jim received, so Gavin received 5x.
We're given that Gavin gets £39 more than Jim, so we can set up the equation: 5x = x + £39. Simplifying this equation, we get 4x = £39. Dividing both sides by 4, we find that x = £9.75.
Now, we can calculate the total amount they got altogether by adding the amounts Jim and Gavin received: £9.75 + 5(£9.75) = £9.75 + £48.75 = £58.50.
the 6th term of an arithmetic progression is 35 and the 13th term is 77. find the 20th term
20th term= 119
Step-by-step explanation:
Let the first term of AP be a
and common difference be d
nth term is given by,
= a+(n-1)d
6th term = 35
a+(6-1)d= 35
a+5d=35 -----------------(i)
13th term = 77
a+12d= 77----------------(ii)
Now, equation (ii) - (i)
a+12d-(a+5d)= 77-35
a+12d-a-5d= 42
7d=42
d=6
Now, from equation (i)
a= 35-5d= 35-5(6)= 35-30 = 5
20th term= a+19d= 5+19(6)= 119
In an arithmetic progression, the difference between any two successive terms is constant. By using this rule and the term numbers and values given, we can determine that the 20th term of the arithmetic progression is 119.
Explanation:We have two pairs of term number and term value in the arithmetic progression (AP), which are (6, 35) and (13, 77). In an arithmetic progression, the difference between any two successive terms is constant, known as the common difference.
We can calculate the common difference (d) as (77-35)/(13-6) = 42/7 = 6.
Next, we find the first term (a) using the formula for the nth term of an AP, which is a = An - (n-1)*d. Using 6th term values, a = 35 - (6-1)*6 = 5.
Finally, we find the 20th term (A20) using the formula An = a + (n-1)*d. This gives us A20 = 5 + (20-1)*6 = 119.
So, the 20th term of this arithmetic progression is 119.
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It costs $5 to get into the fair and then costs $3 for every ride I go on.
I spent a total of $26. Write an equation that could be used to show
the number rides, r, that I went on.
Final answer:
To find the number of rides that you went on at the fair given the total cost, $26, and the cost per ride, $3, you can use the equation $26 = $5 + $3r. Solving for r, you find that you went on 7 rides.
Explanation:
To write an equation that shows the number of rides, r, that you went on, we need to consider the total cost you spent and the cost per ride.
The cost to enter the fair is $5, and for every ride you go on, it costs $3. So, the equation would be:
Total Cost = Cost to Enter + Cost per Ride x Number of Rides
In this case, you spent a total of $26. Plugging in the values, we get:
$26 = $5 + $3r
Now, we can solve for r by isolating the variable:
$26 - $5 = $3r
$21 = $3r
To find the number of rides, divide both sides by $3:
r = $21/$3
r = 7
Therefore, you went on 7 rides at the fair.
Which is a perfect square?
.121
140
168
195
A perfect square is a number formed by multiplying two equal integers by themselves. The number that is a perfect square is 121.
What is a perfect square?A perfect square is a number formed by multiplying two equal integers by themselves. The number 9 is a perfect square, for example, since it can be written as a product of two equal integers: 3 x 3 = 9
A number is a perfect square if another number that when divided the number the quotient is the number which divided another. Therefore, the number that is a perfect square is 121.
121 ÷ 11 = 11
Hence, the number that is a perfect square is 121.
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73.7 is 55% of what number?
a. 134
b. 40.5
c. 74.6
d. 0.134
46 is what percent of 65? (Round your answer to the nearest tenth of a percent).
a. 141.3%
b. 70.7%
c. 70.8%
d. 141%
Answer:
a.) Let the total number be : x
∴(73.7÷x) ×100 = 55%
∴x= (73.7×100) ÷ 55
=> 7370÷55
∴x=134
Thus, Option-A.
----------------------------------------------------
b.) Let the percentage be : x
∴x= (46÷65) ×100
∴x= (0.707) × 100
∴x=70.7%
Thus, Option-B.
MARK AS BRAINLIEST.
Given the function y = x^2- 4x, what are the zeros of the polynomial function
Answer:
x = 0 and x = 4
Step-by-step explanation:
The two terms on the right have x as a common factor, so the function can be factored as ...
y = x(x -4)
The zeros are the values of x that make y = 0, so we want the solutions to ...
0 = x(x -4)
The Zero Product Rule tells us that a product will be zero if and only if at least one factor is zero. Here, the factors are x and (x-4). They are zero when ...
x = 0 or x = 4 . . . . . the zeros of the function
A unicycle wheel has a diameter of 25 inches. How many inches will the unicycle travel in 4 revolutions?
Use T = 3.14 and round your answer to the nearest
hundredth of an inch
Answer:
The distance travelled was 314 inches.
Step-by-step explanation:
In order to calculate the distance that the unicycle will travel in 4 revolutions we first need to know the length of it's wheel, this is calculated by using the formula bellow:
length = 2*pi*r
Where r is the radius of the wheel that is equal to r = d/2
length = 2*pi*(d/2) = 2*3.14*(25/2) = 3.14*25 = 78.5 inches
If the wheel made 4 complete revolutions then the distance travelled was 4 times the length of it's wheels. We have:
distance = 4*length = 4*78.5 = 314 inches
The distance travelled was 314 inches.
Can someone please help
I’ll give brainliest
Answer:
2. a) 0.80a + 1.25c =i
b) 4 x 0.80 = 3.2
2 x 1.25 = 2.5
3.2 + 2.5 = 5.7
4. a) 30
b) 9
c) 50
d) 22.4
What is the growth factor of the exponential function
represented by the table?
0.2
0.1
5
20
PLEASE HELP
Answer:
the answer is 5
Step-by-step explanation:
A man wants to beautify his front yard by planting four 20−foot-tall palm trees alongside his house. Each tree will need a cylindrical hole that is 34 inches in diameter and 28 inches deep to accommodate the roots. His trash hauler will only take away the excess dirt if it is in rectangular bags that are 2 feet by 1.5 feet by four feet. However, the man can only fill the bags one third of the way or they will be too heavy for him to move. How many bags will he have to buy so he can put all the dirt out for pickup?
He have to buy 4 bags to put all the dirt at once.
Step-by-step explanation:
Radius = 17 inches
Height = 28 inches
Volume of dirt from the cylindrical hole = π(r x r) h
= π(17 x 17) 28
= (3.14) (289) 28
= 25408.88 cubic inches
1 foot = 12 inches
Volume of dirt the bag can hold= 24 x 18 x 48
= 20736 cubic inches of dirt
The man fills only one third of the bag.
The volume of dirt the man fills = (1/3)20736
= 6912 cubic inches
Total bags = 25408.88/6912
= 3.69
= appx. 4 bags
He have to buy 4 bags to put all the dirt at once.
You randomly choose one paper clip from a jar. In the jar there are 6 green, 3 white, 4 red, 2 blue, and 5 yellow paper clips.
Find the probability of the following:
Choosing a green paper clip Plz help for test
Answer:
3/10
Step-by-step explanation:
Total paper clip =6+3+4+2+5
=20
Probability of green = number of green/total
= 6/20
leaving in it's lowest term
probability of green=3/20
Divide.
38/733
Enter your answer in the boxes.
Answer: 0.051
Step-by-step explanation: Am very big brain, My IQ is above your comprehension.
Answer:
the answer is 0.051
Step-by-step explanation:
i did it
1,000 divided by 1/4?
Step-by-step explanation:
[tex] \frac{1000}{ \frac{1}{4} } [/tex]
Doing reciprocal we get
= 1000 * 4
= 4000
Hope it will help you.
Answer:
4000
Step-by-step explanation:
If you divide by a fraction, you get the reciprocal of the fraction, and multiply by it
The reciprocal of 1/4 is 4
1000 * 4 is 4000
URGENT easy math multiple choice
Answer:
C) x = -1
Step-by-step explanation:
I graphed the equation below on the graph.
If this answer is correct, please make me Brainliest!
Answer:
C
Step-by-step explanation:
Jeremy's scores for the first 20 times he played the card game, Clubs and Swords, are listed. 50, 199, 246, 356, 89,
210, 391, 325, 273, 260, 100, 172, 123, 167, 194, 172, 23, 426, 75,239
Complete the Frequency Table to display Jeremy's scores.
Score
Frequency
0-100
_________
Answer:
Score: 0 - 100
Frequency: 5
Score: 100 - 200
Frequency: 6
Score: 200 - 300
Frequency: 5
Score: 300 - 400
Frequency: 3
Score: 400 - 500
Frequency: 1
Cathy has 39 coins, which are either nickels or quarters. If she has $4.95, how many nickel coinsdoes she have? _____ nickels
Answer: 24 nickels
Step-by-step explanation:
1. n= nickels
q=quarters
2. n+q=39
.05n+.25q=4.95
3. n=39-q (Replace n with what n is equal to in the other equation) .05(39-q)+.25q=4.95
4. Solve for q: (.05x39)+(.05x-q)+.25q=4.95
5. 1.95-.05q+.25q=4.95 (Combine like terms)
6. 1.95+(-.05q+.25q)=4.95
7. 1.95+0.2q=4.95
8. Move 1.95 to the other side of equal sign by subtracting it from both sides. 0.2q=3
3/0.2= 15... so quarters=15
So if you look back at the other equation it says n+q=39. So, 39-15=24. There is 24 nickels.
Find the area of the semicircle.
Given:
Given that the radius of the semicircle is 4 units.
We need to determine the area of the semicircle.
Area of the semicircle:
The area of the semicircle can be determined using the formula,
[tex]A=\frac{\pi r^2}{2}[/tex]
Substituting π = 3.14 and r = 4, we get;
[tex]A=\frac{3.14 \times (4)^2}{2}[/tex]
Simplifying, we get;
[tex]A=\frac{3.14 \times 16}{2}[/tex]
Multiplying, we get;
[tex]A=\frac{50.24}{2}[/tex]
Dividing, we get;
[tex]A=25.12[/tex]
Thus, the area of the semicircle is 25.12 square units.
Based on the pattern in the table, what is the value of a?
Powers of 2
Value
2 Superscript negative 1
One-half
2 Superscript negative 2
One-fourth
2 Superscript negative 3
one-eighth
2 Superscript negative 4
StartFraction 1 Over 16 EndFraction
2 Superscript negative 5
StartFraction 1 Over 32 EndFraction
2 Superscript negative 6
a
Answer: StartFraction 1 Over 64 EndFraction
Step-by-step explanation: Based on the pattern, the fraction keeps increasing. It keeps multiply itself by 2.
(I could be wrong, hopefully I'm Not)
The required value of a is 1/64.
Table is given y = [tex]2^x[/tex]
X = -1 -2 -3 -4 -5 -6
Y = 1/2 1/4 1/8 1/16 1/32 a
Value of a tube determine.
Geometric progression is sequence of series whose ratio with adjacent values remains same.
For a
y = [tex]2^x[/tex]
put 6 in above equation
a = 2^-6
a = 1/2^6
a = 1/64
Thus, The required value of a is 1/64.
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Find the volume of the cone shown. Round your answer to the nearest hundredths.
Answer:
25.13 cm³
Step-by-step explanation:
Volume of a cone or pyramid is:
V = ⅓ A h
where A is the area of the base and h is the height.
V = ⅓ π r² h
V = ⅓ π (2 cm)² (6 cm)
V = 8π cm³
V ≈ 25.13 cm³
I need to know if the following pairs of expressions are equivalent!
10a - 7a and 5a + 2a - 4a
9 - 4y and 4y - 9
6 + s and 6s
2c + 6c + 9 - c - 4 and 7c + 5
Answer:
Step-by-step explanation:
1) 10a - 7a = 3a {10a & 7a are like terms. So we can subtract}
5a + 2a - 4a = 7a - 4a = 3a {5a, 2a, 4a are like tems}
So, 10a - 7a and 5a + 2a - 4a are equivalent expressions
2) 9 - 4y and 4y - 9 are not equivalent
3) 6 + s means 6 is added to s
6s means 6 is multiplied by s.
6 + s and 6s are not equivalent expressions
4) 2c + 6c +9 - c - 4 = 2c + 6c - c + 9 - 4
= 8c - c + 5
= 7c + 5
7c + 5
2c + 6c +9 - c - 4 and 7c + 5 are equivalent expressions
what is the experimental probability of rolling a number less than 4?
Answer:
50%
Step-by-step explanation:
In dice, there are 6 numbers, and less than 4 is 1, 2, or 3. 3/6=50%
Which concept is used to prove that the opposite sides of a parallelogram are congruent?
A.congruent rectangles
B.similar rectangles
C.congruent triangles
D.similar triangles
Answer:
c
Step-by-step explanation:
Please help!!
What are the lateral area and the surface area of the cone shown below? Round the answers to the nearest tenth. The figure is not drawn to scale.
A. LA = 615.8 ft2; SA = 1,803.3 ft2
B. LA = 615.8 ft2; SA = 3,166.7 ft2
C. LA = 1,187.5 ft2; SA = 1,803.3 ft2
D. LA = 1,187.5 ft2; SA = 3,166.7 ft2
Given:
The radius of the cone = 14 ft
The slant height of the cone = 27 ft
To find the lateral surface area and the total surface area of the given cone.
Formula
The lateral surface area of the cone is
[tex]LSA = \pi rl[/tex] and
The total surface area of the cone is
[tex]TSA = \pi r^{2} + \pi r l[/tex]
where,
r be the radius and
l be the slant height of the cone.
Now
Taking r = 14 and l = 27 we get
[tex]LSA = \pi (14)(27)[/tex] sq ft
or, [tex]LSA = 1187.5[/tex] sq ft
Again,
[tex]TSA = \pi(14^2)+\pi (14)(27)[/tex] sq ft
or,[tex]TSA = 1803.3[/tex] sq ft
Hence,
The lateral surface area of the cone is 1187.5 sq ft and the total surface area of the cone is 1803.3 sq ft. Option C.
What number is 145% of 4760?
Answer:
The number is 6902
Step-by-step explanation:
Is means equals and of means multiply
What = 145% * 4760
Change to decimal form
What = 1.45 *4760
What =6902
y = 5/6x + 2 . y = -5/6x + 9 These lines are...
a. parallel
b. perpendicular
c. intersecting
Answer:
intersecting
Step-by-step explanation:
parallel lines have the same slope
perpendicular lines have slopes that are negative reciprocals
Identifying Right Triangles and Not Right Triangles
Determine whether the side lengths of roof beams form a right triangle by placing them in the appropriate column.
5. 50.5
1)Right Triangles
2)Not Right Triangles
•6.5, 3.2.7.8
•12, 13,4
•12, 13.20
•0.75, 1.25, 1
•18, 80, 82
Answer:
The answer is in the image attached :)
Step-by-step explanation:
Solve.
{y=x−63x+2y=8
Use the substitution method.
Write your answer as a coordinate point (x,y).
what is the point slope form of a line th as t has a slope of 3 and passes through point (1, 4)
Answer:
y-4=3(x-1)
Step-by-step explanation:
6. Sam got a job at Yogurt land. She makes $18 per hour as a store manager. On Friday she worked 6 hours, on Sunday
she worked 8 hours and on Wednesday she worked 5 hours. When she picked up her paycheck her mom reminded her
that she owed her $85 for a pair of shoes she bought her. How much money did she have left after paying back her
mom (before taxes)?
steps ?