Answer:
175 calories.
Step-by-step explanation:
There are 600 calories with 240 from fat in a 6 inch personal pizza.
If we consider the number of calories in each inch of pizza to be constant.
Then, a 14 inch pizza will have [tex]\frac{600}{6} \times 14 = 1400[/tex] calories.
Now, a standard 14 inch pizza has 8 slices and if the 14 inch pizza is cut into 8 slices then in each slice there will be [tex]\frac{1400}{8} = 175[/tex] calories. (Answer)
The estimated number of calories in one slice of a 14-inch pizza, assuming it is cut into 8 slices, is 408 calories.
Explanation:In this problem, we need to work with the concept of Ratios and Proportions in order to estimate the amount of calories in one slice of a 14-inch pizza. Firstly, we may want to calculate how many 6-inch pizzas fit into a 14-inch pizza. To do this we can use the formula for the area of a circle (πr²) where the r represents the radius.
For the 6-inch pizza, the radius is 3 inches, and for the 14-inch pizza, the radius is 7 inches. Therefore, according to the formula, we have:
Area of 6-inch pizza: π * 3² = 9π
Area of 14-inch pizza: π * 7² = 49π
By dividing the area of the 14-inch pizza by the area of the 6-inch pizza, we find that around 5.44 of 6-inch pizzas fit into the 14-inch pizza:
49π/9π = 5.44
So, the 14-inch pizza has roughly 5.44 times more calories than the 6-inch pizza, meaning it would have 600 calories * 5.44 = 3264 calories.
If you split the pizza into 8 slices, each slice of pizza would therefore have 3264 calories / 8 slices = 408 calories.
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I have a question! Well duhh thats why you see this
A baseball is moving at a speed of 2.2m/s when it strikes the catchers glove. The paddding of the glove is compressed by 24mm before the ball comes to a stop. We want to find the average acceleration of the baseball while its compressing the glove
jp i dont need help ppl keep wanting to see what i look like so sorry!
A student has $10. She will save $5 each week. The student wrote the expression show to represent the amount
of money she will have after w weeks.
5W + 10
Which of the following expressions is equivalent to the student's expression for any value of wo?
A 15w
B 50w
5(w +2)
D5(w +10)
Answer:
D. or 5(w+10)
Hope this helps :)
HELP QUICK I NEED TO KNOW THIS Three pirates named Ahab, Sparrow, and Davy play a game. The pirates have a total of 210 coins, and each pirate has a different number of coins. At the end of the game, Ahab has won 5 coins and Davy has won 7 coins. Now, the ratio of coins belonging to Ahab, Sparrow, and Davy is 4:5:6, respectively. How many coins did Sparrow have at the beginning of the game?
The number of coins Sparrow has at the beginning of the game is 92 coins.
How many coins did Sparrow have at the beginning of the game?
Total number of coins = 210.
Ratio of coins belonging to Ahab, Sparrow and Davy = 4 : 5 : 6
Let
x = multiplying factor
The number of coins to Ahab = 4x
The number of coins to Sparrow = 5x
The number of coins to Davy = 6x
Since, total number of coins = 210
So
4x + 5x + 6x = 210
15x = 210
Divide both sides by 15
x = 16
Therefore,
The number of coins to Sparrow = 5x
= 5 × 16
= 80 coins
At the end Ahab and Davy wins 5 and 7 coins respectively
So at the beginning of the game, the number of coins Sparrow has = 80 + 7 + 5
= 92
There are 3 caterpillars on each plant, and there are 2 caterpillars on the ground. The table shows how the number of caterpillars, c, depends on the number of plants, p. Choose the equation which represents the rule.
Question
P c
4 14
5 17
6 20
7 23
There are 3 caterpillars on each plant, and there are 2 caterpillars on the ground. The table shows how the number of caterpillars, c, depends on the number of plants, p. Choose the equation which represents the rule.
A) c = 3p + 3
B) c = 2 − 3p
C) c = 3p − 2
D) c = 3p + 2
Answer:
c = 3p + 2 is the equation that shows relation between number of caterpillars and plants
Solution:
Given that,
There are 3 caterpillars on each plant
And there are 2 caterpillars on the ground
Let the number of plants be "p"
Let the number of caterpillars be "c"
The equation that shows relation between number of caterpillars and plants is:
If there are 3 caterpillars on each plant, then for "p" plants, there will be "3p" caterpillars
Number of caterpillars = 3p + 2 caterpillars on the ground
Therefore,
Number of caterpillars = 3p + 2
c = 3p + 2
Thus the equation is found
3x + 2y = 6 is an equation in standard form
Answer:
The value of y when x is 0 is 3
The value of x when y is 0 is 2
Step-by-step explanation:
3x + 2y = 6
3(0) +2y=6—> replace x with 0
2y=6—> divide both sides by 2
y=6
And do the same for y!
The equation 3x + 2y = 6 is a linear equation in standard form. Also, the equation y = 9 + 3x is an equivalent linear equation in slope-intercept form where b is 9 (y-intercept) and m is 3 (slope). A table of (x, y) values derived from this equation would plot as a straight line on a graph.
Explanation:The equation you're looking at, 3x + 2y = 6, is indeed a linear equation in standard form. As a refresher, a standard form equation is written as Ax + By = C, where A, B, and C are constants, and x and y represent variables.
Let's consider another similar example, y = 9 + 3x. In this equation, which is in slope-intercept form, the b term has been set equal to 9 and the m term has been set equal to 3. We can fill out table A1 with different values for x and calculate the corresponding values of y. When plotted on a graph, these points will form a straight line, as dictated by the nature of linear equations.
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5x + 7y + 12 how many terms are there
Answer:3
Step-by-step explanation:
5,7,12
Consider the dilation of square KLMN by a scale factor of 1/4, with a center of dilation at the origin. Assume the units are centimeters.
1. What is the perimeter of the square after the dilation? Explain the change in the perimeter.
2. What is the area of the square after the dilation? Explain the change in the area.
1. The given squares perimeter after dilation is 16 cm. Perimeter is reduced by 48 cm due to dilation.
2. The squares area is 16 square centimeters after dilation. The area reduces by 240 square cm due to dilation
Step-by-step explanation:
Step 1; First, we determine the coordinates of the points given in the graph. By plotting we determine that the points are; K (-8, -8), L(8,-8), M(8, 8) and N(-8, 8).
Step 2; We calculate the new coordinates of the square KLMN by multiplying the scale factor with each of the coordinate's x and y values.
8 × [tex]\frac{1}{4}[/tex] = 2, -8 [tex]\frac{1}{4}[/tex] = -2 are the different values in the four coordinates.
So by multiplying the scale factor we get the dilated square's points as
K (-2, -2), L(2,-2), M(2, 2) and N(-2, 2).
Step 3; The perimeter of a square is given by 4 times its side length. As the units are in centimeters, we determine the side length is 4 cm whereas it is 16 cm for the undilated square.
Perimeter of original square = 4 × 16 cm = 64 cm
Perimeter of the dilated square = 4 × 4 cm = 16 cm.
Change in perimeter = Perimeter of original square - Perimeter of the dilated square = 64 cm - 16 cm = 48 cm.
Step 4; The area of any given square is the side length of the square squared. The side length of the original square is 16 cm whereas the side length of the dilated square is 4 cm.
Area of original square = 16 × 16 cm = 256 square cm
Area of the dilated square = 4 × 4 cm = 16 square cm.
Change in area = area of original square - area of the dilated square = 256 cm - 16 cm = 240 square cm.
find the volume of a pyramid 8 base length 5 base width 12 height
Answer:
The volume is 160 cubic units
Step-by-step explanation:
1. Information given to us to answer the question correctly:
8 = base length
5 = base width
12 = height
2. Let's recall the formula of the volume of a pyramid with rectangular base:
Volume = (Length * Width * Height)/3
Volume = (8 * 5 * 12)/3
Volume = 480/3 ?
Volume = 160 cubic units
what is the equation of the following line written in slope intercept form?
a. y= -11x-7
b. y= -7x+11
c. y= -7x-11
Answer:
C
Step-by-step explanation:
slope is change in y over the change in x
points on graph are (-1, -4) and (-2, 3)
-4-3/-1+2 = -7/1 = -7
y = -7x + b
put one of the points in for x and y to solve for b
3 = -7 x -2 + b
3 = 14 + b
subtract 14 from both sides.
b = -11
Answer:
c
Step-by-step explanation:
ASAP Please help me
Answer:
1. a) $ 25
b) $65
2) a) 246,000 followers
b) In 20 years
3a) $65
b) $85.25
Step-by-step explanation:
1. A linear equation is modeled by [tex]y=mx+b[/tex]
where b is the one time fee you pay and m=$8 is how much you pay per hour.
y is the total cost and x is the number of hours.
Hence the equation becomes: [tex]y=8x+b[/tex]
Since Jill rented for 3 hours and paid $49, x=3 and y=49.
We substitute and solve for the one-time fee, b.
This implies that:
[tex]49=8(3)+b[/tex]
49=24+b
b=49-24=25.
a) The fee is $25
b) We now write the equation in full to get: [tex]y=8x+25[/tex]
To find the cost for 5 hours we put x=5 into this equation and solve for y.
[tex]y=8(5)+25[/tex]
y=40+25=$65
2a) We still use the equation y=mx+b.
b is the number of followers he started with.
This time m=-12,000 because he is losing followers at the rate of 12,000
The equation becomes: y=-12,000x+b
After 4 years he was down to 198,000.
This implies that, when x=4,y=198,000
We substitute to get:
[tex]198,000=-12,000(4)+b[/tex]
[tex]198,000=-48,000+b[/tex]
[tex]b=198,000+48,000=246,000[/tex]
Hence he started with 246,000 customers
b) The equation now becomes [tex]y=-12,000x+246,000[/tex]
To find how many years he will have 6000 followers, we substitute y=6000 and solve for x.
[tex]6000=-12,000x+246,000[/tex]
[tex]6000-246,000=-12,000x[/tex]
[tex]-240,000=-12,000x[/tex]
[tex]x=\frac{240,000}{12,000}[/tex]
x=20.
3. We still use the equation: y=mx+b.
This time m=0.25 is the rate per mile.
This implies y=0.25x+b
Since Kyle drove 32 miles and spent $73, we have y=73 when x=32
We substitute these values and solve for x.
[tex]73=0.25(32)+b[/tex]
[tex]73=8+b[/tex]
[tex]b=73-8[/tex]
[tex]b=65[/tex]
Hence the one-time fee is $65
b) The equation now becomes:
[tex]y=0.25x+65[/tex]
To find how much it will cost to drive 81 miles, we substitute x=81 and solve for y.
[tex]y=0.25*81+65[/tex]
[tex]y=20.25+65[/tex]
[tex]y=85.25[/tex]
The cost for 81 miles is $85.25
What is the y-intercept of this line? Y=3x+2
A.3
B.2
Answer:
B: 2
Step-by-step explanation:
2 is the y-intercept of the given line.
At the flea market path and four buckets of Legos with each bucket containing 1,398 Lego pieces. if you wanted to with the Lego pieces into three piles ,how many pieces should he put into each pound?
Answer:
1,864
Step-by-step explanation:4 X 1398 would be 5592 then you divide it by 3 and get 1,864
Gasoline is selling for $3.29 per gallon. It takes 28.25 gallons to fill up Bill's new pick-up truck. How much does he pay?
Answer:
approximately (put the approximately sign) $92.94
Step-by-step explanation:
Just multiply 28.25 by $3.29. Tjen, round the answer to the nearest hundredth.
What is the correct answer???
Option D: [tex]\frac{2}{5}[/tex] is the x-coordinate
Explanation:
It is given that the coordinates of the line segment are A(3,2) and B(6,11).
Since, the line is partitioned by the point C by the ratio AC : BC = 2 : 3
The distance between the x-coordinates is 3 units.
To determine the value of the x-coordinate for point C, let us divide the value of x-coordinate from the ratio divided by the sum of ratio.
The value of x-coordinate from the ratio is 2.
Sum of the ratio is 2 +3 = 5
Thus,
The x - coordinate = value of x-coordinate from the ratio / Sum of ratio = 2/5
Substituting the values, we have,
The x - coordinate of the Point C = [tex]\frac{2}{5}[/tex]
Thus, Option D is the correct answer.
What is 83.9 rounded two decimal places
Round the following numbers and estimate the product.
72.87 . 37
Help please, due by midnight
Step-by-step explanation:
The second one is the first claim, because it is a traingles and one square.
The third one is the sond claim because they are a part of the rectangular so moving them outside of it would increase the area, I think, if that makes sense.
Find the value of the expression below. Express your answer in scientific notation.
The value of the expression is [tex]8.8 \times 10^{-2}[/tex].
Solution:
Given expression:
[tex]$\frac{\left(4.8 \times 10^{8}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \times 10^{-6}\right)[/tex]
To find the value of the given expression:
Using exponent rule: [tex]a^m\times a^n=a^{m+n}[/tex]
[tex]$\Rightarrow\frac{\left(4.8 \times 10^{8-6}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)[/tex]
[tex]$\Rightarrow\frac{\left(4.8 \times 10^{2}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)[/tex]
Using exponent rule: [tex]\frac{a^m}{a^n} =a^{m-n}[/tex]
[tex]$\Rightarrow\frac{\left(4.8 \times 10^{2-4}\right)}{1.2} \times 2.2[/tex]
[tex]$\Rightarrow\frac{\left(4.8 \times 10^{-2}\right)}{1.2} \times 2.2[/tex]
Since [tex]\frac{4.8}{1.2}=4[/tex]
[tex]$\Rightarrow(4 \times 10^{-2})\times 2.2[/tex]
[tex]$\Rightarrow 8.8 \times 10^{-2}[/tex]
Hence the value of the expression is [tex]8.8 \times 10^{-2}[/tex].
A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.
Answer:
12 m squared
Step-by-step explanation:
area of triangle is 1/2 base x height
base x height is 28 so 1/2 is 14
the area of the rectangle is base x height
1 x 2 = 2
14-2 = 12
If I did 57 jumping jacks in 1 minute how long would it take to do 100 jumping jacks
Answer:
2 minuets
Step-by-step explanation:
Set up a ratio:
57 jumping jacks / 1 minute = 100 jumping jacks / x minutes
Cross multiply:
57x = 100
Divide both sides by 57:
X = 100/57
X = 1.754 minutes = 1 minute 45 seconds
find the unknown resistance in the figure shown, to the nearest hundredth of an ohm, if the total (equivalent) resistance is 0.28
Please help asap!
The unknown resistance is approximately 0.44 Ω.
Solution:
Total (equivalent) resistance = 0.28 Ω
Resistance 1 = ?
Resistance 2 = 0.81 Ω
To find the unknown resistance.
Formula for determining equivalent resistance in a parallel circuit:
[tex]$\frac{1}{R_{e q}}=\frac{1}{R_{1}}+\frac{1}{R_{2}}[/tex]
Substitute the given values in the formula.
[tex]$\frac{1}{0.28}=\frac{1}{R_{1}}+\frac{1}{0.81}[/tex]
[tex]$3.571=\frac{1}{R_{1}}+1.235[/tex]
Subtract 1.235 on both sides of the equation, we get
[tex]$2.282=\frac{1}{R_{1}}[/tex]
Take reciprocal to find [tex]R_1[/tex].
[tex]$R_{1}=\frac{1}{2.282}[/tex]
[tex]$R_{1}=0.44[/tex]
[tex]R_1[/tex] = 0.44 Ω
The unknown resistance is approximately 0.44 Ω.
2) It cost $5 to send 6 packages through a certain shipping co
ges through a certain shipping company. Consider the number of packages per dollar.
1.
ii.
Find the constant of proportionality for this situation.
Write an equation to represent the relationship.
Final answer:
The constant of proportionality is $0.833 per package, and the equation representing the cost C of sending p packages is C = 0.833p.
Explanation:
To find the constant of proportionality for the given shipping situation, we divide the total cost by the number of packages shipped. In this case, it costs $5 to send 6 packages, which gives us a constant of proportionality of $5 / 6 packages. This can be simplified to approximately $0.833 per package.
The equation to represent this relationship would be C = 0.833p, where C represents the total cost in dollars and p represents the number of packages. This shows that for each package sent, the cost will increase by approximately $0.833.
please solve
3(y+2)=14
I can't find the answer
Answer:
y = 8/3
Step-by-step explanation:
3(y + 2) = 14
3y + 6 = 14
3y = 14 - 6
3y = 8
y = 8/3
Answer:
Step-by-step explanation:
3(y + 2) = 14
3y + 6 = 14
3y = 14 - 6
3y = 8
y = 8/3 or 2 2/3
Please help! Will give Brainliest!
What is the area of this trapezoid? 175 in² 140 in² 129 in² 85 in² Trapezoid A B C D with parallel sides D C and A B. Point F and E are on side D C. Point F is connected to point A by a dotted segment. Point E is connected to point B by a dotted segment. A B E F is a rectangle. D F is 4 inches. E C is 6 inches. E B is 7 inches. A B is 15 inches.
Answer:
198
Step-by-step explanation:
Answer:
The answer is 140! brainilest please!
Step-by-step explanation:
the function v (r)can be used to find the volume of air inside a basketball given it radius what does v(r) represnet
The notation V(r) actually gives the volume of air inside the basketball. V(r) is volume as a function of radius, r It can be written as: V(r) = 4/3πr³ So, for any value of r, we can get the volume V. For, example, when r = 7cm we can say; V(7) = 4/3 x 22/7 x 7³ = 1437.33 cm³
5 and 3 fourths times 2 and 2 eleventh’s
Answer:
138/11
Step-by-step explanation:
5 3/4 * 2 2/11
23/4 * 24/11
(552/44)/4
138/11
PLEASE HELP ILL GIVE BRAINLIEST
The answers are option C) segment and option D) ray
Step-by-step explanation:
Line :
A line has arrow mark in the two ends. So, the diagram is not a line.Point :
A point represents particular spot as a small dot. So, the diagram is not a point.Segment :
It is a piece of line that has two end points. This part of line is called line segment and it is shown in the picture. option C is correct.Ray :
A ray is a line with one endpoint and the other end extends with an arrow mark. So, the option D is also correct.Martina runs 7 miles in 50 mins at the same rate how many miles will she run in 75 mins
Martina runs 10.5 miles in 75 minutes
Solution:
Given that,
Martina runs 7 miles in 50 minutes
Therefore, miles ran in 1 minute is:
[tex]Miles\ ran\ in\ 1\ minute = \frac{7}{50}\ miles[/tex]
At the same rate how many miles will she run in 75 mins
Thus, to find the miles ran in 75 minutes:
[tex]Miles\ ran\ in\ 75\ minute = \frac{7}{50}\ \times 75\\\\Miles\ ran\ in\ 75\ minute = 0.14 \times 75\\\\Miles\ ran\ in\ 75\ minute = 10.5[/tex]
Thus she runs 10.5 miles in 75 minutes
solve for x and y
−8y+9x=−5
8y+7x=−75
Answer:
-8y + 9x = -5
8y + 7x = -75
16x = -80
x = -5
8y + 7(-5)= -75
8y - 35 = -75
8y = -40
y = -5
(-5,-5)
six out of every thirteen trick-or-treaters that came to your house last Halloween were dressed as knights, what proportion of trick-or-treaters were not dressed as knights?
To find the proportion of trick-or-treaters not dressed as knights, subtract the proportion dressed as knights from 1. Therefore, the proportion of trick-or-treaters not dressed as knights is 7/13.
Explanation:To find the proportion of trick-or-treaters that were not dressed as knights, we need to subtract the proportion of trick-or-treaters who were dressed as knights from 1. If 6 out of every 13 trick-or-treaters were dressed as knights, then the proportion of trick-or-treaters not dressed as knights is 1 - (6/13) = 7/13.
In the realm of probability and proportions, calculating the proportion of trick-or-treaters not adorned in knightly attire involves a straightforward yet insightful approach. We initiate this quest by recognizing that the sum of all probabilities within a given context equals 1, which encapsulates all possible outcomes. Since we know that 6 out of every 13 trick-or-treaters don the guise of knights, we can deduce that the proportion of those not dressed as knights is the remainder of this whole, represented as 1 - (6/13). Simplifying this expression reveals that 7 out of every 13 trick-or-treaters fall into the category of not being attired as knights.
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