To find the cost of 24 candy bars, calculate the cost per candy bar (found by dividing $20 by 16, equaling $1.25) and multiply it by 24. Therefore, 24 candy bars would cost $30.
Explanation:The subject of the question involves unit pricing, a common concept in mathematics. To find the cost of 24 candy bars, first identify the cost per candy bar, then multiply this unit price by the number of candy bars in question.
From the question, we know that 16 candy bars cost $20. So the unit price, or cost per candy bar, is $20 divided by 16, which equals $1.25.
Therefore, the cost of 24 candy bars would be $1.25 (the cost per candy bar) multiplied by 24 (the number of candy bars), which equals $30. Hence, 24 candy bars would cost $30.
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Find the largest number. 16.3, 15.7, 16.9, 15.8
Answer:
16.9
Step-by-step explanation:
John walks 3 miles in 5 hours
for his exercise routine. Find
the Unit rate
John walks 0.6 miles in 1 hour.
Step-by-step explanation:
Distance walked by John = 3 miles
Time period = 5 hours
5 hours = 3 miles
Unit rate is the ratio of two measurements, in which one measurement is one, therefore,
1 hour = [tex]\frac{3}{5}\ miles[/tex]
[tex]1\ hour=0.6\ miles[/tex]
John walks 0.6 miles in 1 hour.
Keywords: ratio, distance
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Triangle A B C is shown with its exterior angles. Angle B A C is (p + 4) degrees and angle A C B is 84 degrees. Exterior angle X B C is (3 p minus 6 degrees).
What is the measure of ∠XBC?
m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
Answer:
The diagram of the question is attached here.
The measure of [tex]\angle XBC=135\ (deg)[/tex]
Step-by-step explanation:
All the options given here will be used to find the numeric value of [tex]\angle XBC[/tex]
Here it is shown systematically.
Exterior angle theorem: Sum of two interior angles are equal to the measure of opposite exterior angle in a triangle.
To find [tex]\angle XBC[/tex]
[tex]m\angle XBC = m\angle BAC + m\angle BCA[/tex]
Plugging the values.
[tex]3p-6 = p + 4 + (84)[/tex]
[tex]3p-6 = p + 88[/tex]
Subtracting [tex]p[/tex] both sides.
[tex]2p-6 = 88[/tex]
[tex]2p = 94[/tex]
Dividing [tex]2[/tex] both sides.
[tex]p=\frac{94}{2}=47[/tex]
So plugging the value of [tex]p=47[/tex] in [tex]3p-6[/tex] we will get the measure of [tex]\angle XBC[/tex].
So [tex]\angle XBC=(3p-6)=3(47)-6=135\ (deg)[/tex]
The measure of [tex]\angle XBC[/tex] is [tex]135\ degrees[/tex].
Based on the information, the measure of Angle XBC is 278 - 4p degrees.
What's the measurements?Given that Angle ACB is 84 degrees, Angle BAC is (p + 4) degrees, and Angle XBC is (3p - 6) degrees, you can plug in these values:
(p + 4) + 84 + (3p - 6) + Angle XBC = 360
Combine the like terms involving 'p':
4p + 82 + Angle XBC = 360
Subtract 82 from both sides:
4p + Angle XBC = 278
Now, isolate Angle XBC by subtracting 4p from both sides:
Angle XBC = 278 - 4p
So, the measure of Angle XBC is 278 - 4p degrees.
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Leona purchased a $1,000 bond having a quoted price of 99.875. She had to pay a 5.5% brokerage fee (of the selling price). What was the total cost of the bond (to the nearest whole cent)?
$943.82
$1,064.44
$534.77
$2,054.22
None of these choices are correct.
The total cost of Leona's bond is $1,053.68 when accounting for the quoted price and the 5.5% brokerage fee. Consequently, the option that correctly represents the total cost is 'None of these choices are correct.'
Explanation:Leona purchased a $1,000 bond having a quoted price of 99.875. To calculate the purchase price of the bond, we multiply the face value of the bond by the quoted price percentage:
Purchase Price = Face Value × (Quoted Price / 100) = $1,000 × (99.875 / 100) = $998.75
Next, we need to calculate the brokerage fee, which is 5.5% of the selling price. We will use the purchase price to calculate this:
Brokerage Fee = Purchase Price × (Brokerage Fee Percentage / 100) = $998.75 × (5.5 / 100) = $54.93
Lastly, we add the brokerage fee to the purchase price to find the total cost of the bond:
Total Cost = Purchase Price + Brokerage Fee = $998.75 + $54.93 = $1,053.68
Therefore, Leona's total cost for the bond is $1,053.68, which to the nearest whole cent is $1,053.68. The correct answer is 'None of these choices are correct.'
Final answer:
Leona's total cost for a $1,000 bond with a quoted price of 99.875 and a 5.5% brokerage fee is $1,053.68. Option E.
Explanation:
To calculate the total cost of the bond that Leona purchased, we need to consider both the quoted price of the bond and the brokerage fee. The quoted price of the bond is 99.875% of the face value, which means the price before the brokerage fee is 99.875/100 * $1,000 = $998.75. Then, we must calculate the brokerage fee, which is 5.5% of the selling price. Therefore, the brokerage fee equals 5.5/100 * $998.75 = $54.93.
To find the total cost of the bond, we add the price of the bond to the brokerage fee: $998.75 + $54.93 = $1,053.68. Hence, the correct answer to the nearest whole cent is $1,053.68, and the given options do not list this correct amount.
a box of cereal weighs 600 grams . how much is this weight in pounds ? explain or show your reasoning .
Answer:
600 Grams = 1.323 Pounds
Step-by-step explanation:
1 gram equals 0.0022 pounds
600 x 0.0022 = about 1.323
Answer:
the weight in pounds is 1.324 pounds
Step-by-step explanation:
Hello, i can help you with this, you can easily solve this by using a rule of three, also you need to know
1 pound = 453 grams
Step 1
establish the relation
1 pound ⇔ 453 grams
x pound ⇔ 600 grams
the relation is
[tex]\frac{1}{453} =\frac{x}{600}\\ solve\ for\ x\\x=\frac{1*600}{453}\\x=1.324\\[/tex]
so, the weight in pounds is 1.324 pounds
I really hope It helps , have a nice day.
An ice cream store sells 2drinks, in 5 sizes, and 5 flavors. In how many ways can a customer order a drink?
Answer:
2*5*5= 50 because for each drink (2) there’s (5) different sizes and (5) flavors.
Step-by-step explanation:
A customer at an ice cream store can order a drink in 50 different ways by choosing from 2 drinks, 5 sizes, and 5 flavors, as calculated by the fundamental counting principle.
Explanation:To determine the number of ways a customer can order a drink at an ice cream store with 2 drinks, 5 sizes, and 5 flavors, we need to calculate the combinations of these options. Since each choice is independent of the others, we use the concept of the fundamental counting principle, where we multiply the number of options for each category together.
For drinks, there are 2 options. For sizes, there are 5 options, and for flavors, there are 5 options.
We multiply these options together: 2 drinks * 5 sizes * 5 flavors = 50 combinations.
Therefore, a customer can order a drink in 50 different ways.
simplify: 3 1/2 + 1/8= 3 5/8 is that correct
Answer:
3.625
Step-by-step explanation:
I check on Google for yeah ;)
Write the equation of the line that is parallel to y=-0.75x and that passes through the point (8,0)
The equation of the line that is parallel to y=-0.75x and passes through the point (8,0) is y = -0.75x + 6.
Explanation:The equation of a line in the form y = mx + b represents a linear equation, where m is the slope of the line and b is the y-intercept. Since we are looking for a line parallel to y = -0.75x, we know that the new line will have the same slope. So, the equation of the new line is y = -0.75x + b. To find the value of b, we can substitute the coordinates of the point (8,0) into the equation and solve for b.
0 = -0.75(8) + b
0 = -6 + b
b = 6
Therefore, the equation of the line that is parallel to y = -0.75x and passes through the point (8,0) is y = -0.75x + 6.
explain why you can have different values when evaluating an algebraic expression.
please help!
When evaluating an algebraic expression, the domain is typically all real numbers.
What are real numbers?
Every single number (irrational, rational, natural numbers) except imaginary ones.
When you evaluate an algebraic expression, you can choose from a range of values if it is restricted. If it is not you can only use real numbers.
You can use 1, 50, 1909893, 39309202, and many more. It goes on and on.
And since each number that is being inputted into the expression is different, you may end up with different outputs.
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Which pair of ratios does
not form a true proportion?
A) 8:14 and 20:35
B) 6 to10 and 15 to 25
D) 12:15 and 30:50
Answer:
8:14
Step-by-step explanation:
just multiply
Part of Eli’s job on the ranch is to feed the new calves. There are 5 new calves, and each calf eats 15 pounds of hay every day. Complete the area model to show the total number of pounds of hay Eli feeds the calves in 6 days. Then write the partial products and the total product.
Answer:
dfdssgfnfndfnfnb
Step-by-step explanation:
Jon borrows $6.50 from his friends to pay for snacks, and $11.75 from his sister to go to the movies. how much money does he need to repay
Answer:
Step-by-step explanation:
You need to add $6.50 and $11.75 and you get $18.25.
Please show all work cuase I don’t understand thank you
Answer:
13a. 0.92 miles
13b. C
Step-by-step explanation:
13a. The first ride costs $2.75 more than the second ride. Each quarter mile after the first quarter mile costs $0.75, so the difference in distance is:
0.75 d = 2.75
d = 3.67
The difference is 3.67 quarter miles, or 0.92 miles.
13b. The total cost is the cost of the first quarter mile plus the cost of the rest of the quarter miles.
C(n) = 2.50 + 0.75 (n − 1)
Which of the following is a correct interpretation of the expression 4 - (-3)
Start at 4 on the number line and move 3 to the left.
Start at 4 on the number line and move 3 to the right.
Start at -3 on the number line and move 4 to the left.
Start at -3 on the number line and move 4 to the right.
4 - (- 3) = 4 + 3
Addition moves to the right.
Subtraction moves to the left.
Start at 4 on the number line and move 3 to the right.
A wooden plank is 19 feet long.Mrs Dambra cuts 3 feet off the wooden plank. She then cuts the remaining piece of wood into equal pieces,each 1/5 long. how many pieces does mrs.dambra cut
Answer:
80 pieces
Step-by-step explanation:
Answer:
80ft.
Step-by-step explanation:
Please mark brainliest and you will get a Dino Nuggie :)
write a sentence explaining why all solutions of rational equation must be checked
Answer:
It is highly important for all solutions of rational equation to be checked to make sure you get the right answer.
In solving a rational equation, we always clear of fractions. When we clear of fractions we always multiply both sides by a variable quantity. When we multiply both sides of an equation by a variable expression, we may introduce an extraneous solution a zero of that expression we multiplied through by.
100% on edg
What is the slope of this line?
15
−15
5
−5
Answer:
the slope is 1/5 which is none of these. y=1/5x+3 is the equation
Step-by-step explanation:
for every single y value that the graph goes up, it travels 5 units on the x axis.
rise over run is the way i remeber slope, rise is one for every 5 run. This has a slope of positive 1/5x.
The slope of the line is [tex]\dfrac{1}{5}[/tex]. So, the correct option is A.
Given:
The graph of the line.
To find:
The slope of the given line.
Explanation:
Slope formula: If a line passes through the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the slope of the line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the given graph it is clear that the line passes through the points [tex](0,2)[/tex] and [tex](5,3)[/tex]. So, the slope of the line is:
[tex]m=\dfrac{3-2}{5-0}[/tex]
[tex]m=\dfrac{1}{5}[/tex]
Therefore, the slope of the line is [tex]\dfrac{1}{5}[/tex] and the correct option is A.
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A fireworks rocket is launched from a hill above a lake. The rocket will fall into the lake after exploding at its maximum height. The rocket's height above the surface of the lake is given by g(x)= -16x^2+64+80. What is the maximum height of the rocket?
A) 150 feet C) 120 feet
B) 80 feet D) 144 feet
Answer:
D
Step-by-step explanation:
At the maximum height, the value of the vertical velocity Vy equals zero. From the value of the equation, we can get the vertical velocity by its first differential.
Differentiating this, we get -32x + 64
We then equate this value to zero. This yield 32x = 64 and x = 2
We now plug the value of x back into the original expression for height.
-16(2)^2 + 64(2) + 80 = -64 + 128 + 80 = 144 feet
One Morning in Atlanta, Tina observed that the temperature was 72 degrees. Later the temperature rose 21 degrees and then dropped 11 degrees. She then flew to New York where the temperature was 67 degrees. What was the change in temperature from when Tina left Atlanta and arrived in New York
answer: 72+21=93-11=82
The change in temperature from when Tina left Atlanta and arrived in New York will be 82° and 77°.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
One Morning in Atlanta, Tina observed that the temperature was 72 degrees.
Later the temperature rose 21 degrees and then dropped 11 degrees.
Then the final temperature in Atlanta will be
⇒ 72° + 21° - 11°
⇒ 82°
She then flew to New York where the temperature was 67 degrees.
Then the final temperature in New York will be
⇒ 67° + 21° - 11°
⇒ 77°
Then the change in temperature from when Tina left Atlanta and arrived in New York will be 82° and 77°.
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Sofia has $1.90 worth of nickels and dimes. She has a total of 25 nickels and dimes altogether. Write a system of equations that could be used to determine the number of nickels and the number of dimes that Sofia has. Define the variables that you use to write the system.
Answer:
The number of dimes does Sofia has is 13 , and The number of dimes does nickles does Sofia has is 12
Step-by-step explanation:
Given as :
The net worth of nickels and dimes = $ 1.90
The total number of nickles and dimes altogether = 25
Let The number of nickles that Sofia has = n
And The number of dimes that Sofia has = d
Now,
Since The value of 1 nickle = [tex]\frac{1}{20}[/tex] dollar
And The value of 1 dimes = [tex]\frac{1}{10}[/tex] dollar
So, According to question
n + d = 25 ..........1
And $ [tex]\frac{1}{20}[/tex] × n + $ [tex]\frac{1}{10}[/tex] × d = $ 1.90
Or, n + 2 d = 38 .....2
Solving Eq 1 and 2
∵ n + 2 d = 38
or, 25 - d + 2 d = 38
or, d = 38 - 25
∴ d = 13
So, The number of dimes she has = 13
And the number of nickles = n = 25 - 13
∴ n = 12
Hence The number of dimes does Sofia has is 13 , and The number of dimes does nickles does Sofia has is 12 Answer
after using six mushrooms to boost their speed. marcus racer has travelled 650 feet. hiw far did marcus racer travel after using three mishrooms?
Answer: 325 ft
Step-by-step explanation:
6 mushrooms = 650 ft
divide by 2 on both sides
3 mushrooms = 325 ft
5 mushrooms = 6-1 mushrooms
5 mushrooms = 650 - (boost distance for 1 mushroom)
1 mushroom = 650/6 = 108.3 repeating
so 5 mushrooms = 650 - 108.333333333 = 542.66666666
What is the number place 2 in 582.091 rounded to
Answer:
582.091 Rounded to 2 places after the decimal point is 582.09
:)
Answer:
unit
Step-by-step explanation:
H. T. U.
5. 8. 2
5 is representing a hundred
8 is representing the tenth
2 is representing the units
Whats 6x6+9-2-1=
(my mom will not let me use a calculator)
Answer:
42
Step-by-step explanation:
6*6+9-2-1
36+9-2-1
45-2-1
43-1
42
The scale of a map is 1:1000. The actual dimensions of a rectangle is 4cm by 3cm. What is the actual area in m²?
(hint: convert 1000cm -> m)
(ans: 1200m²)
BUT HOW TO DO....
Step-by-step explanation:
1cm:1000cm
multiply the dimensions by 1000cm
4cm--> 4000cm
3cm--> 3000cm
convert 4000cm and 3000cm to metres by dividing by 100
because 1m=100cm
4000/100=40m
3000/100=30m
40m x 30m= 1200m²
Which system of equations has infinitely many solutions?
A)6x + 3y = 12
3x + y = 9
B)2x + 3y = 6
4x + y = 8
C)12x +9y = 6
4x + 3y = 6
D)5x + 10y = 20
2x+4y=8
Which expression is equivalent to (x^27y) ^1/3
Answer:
x^9*y^1/3
Step-by-step explanation:
Because x^(27*1/3)=x^9 and y^(1/3)=y^1/3.
What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(2/3x)?
A) vertical stretching
B) vertical compression
C) horizontal compression
D) horizontal stretching
Answer:
This will be an effect of vertical compression.
Step-by-step explanation:
We have to determine the change on the graph of the function f(x) = 2x when f(x) is replaced with [tex]f(\frac{2}{3}x )[/tex].
Therefore, [tex] f(\frac{2}{3} x) = 2(\frac{2}{3}x )= \frac{4}{3} x[/tex]
It is clear that for the same value of x the y-value decreased by the factor [tex]\frac{2}{3}[/tex].
Hence, this will be an effect of vertical compression. ( Answer )
Answer:it’s horizontal stretching
Step-by-step explanation:
if you’re in usa test prep, it is NOT vertical compression.
what is -21=-7x help
Answer:
x=3
Step-by-step explanation:
-21=-7x
-7x=-21
x=3
What is the slope of y = -4?
Answer:
The slope is 0 and the y-intercept is -4
Choose all the examples that describe volume.
✓
A. the amount of shampoo in a bottle
✓ B. the amount of soap in a bar of soap
c. the amount of border around a chalkboard
D. the amount of wrapping paper covering a gift
Answer:
A, B
Step-by-step explanation:
Volume: the measure of the amount of space that a substance (such as liquid, gas, or solid) occupies in an enclosed environment (such as a container).