Using number line, the difference in the amount of Pizza they ate is 0.75
What is the difference between the amounts of pizza eaten by the two competitors in a minute?To compare the amounts of pizza eaten by Sandy and James in 1 minute, we need to first calculate how many slices they eat in 1 minute.
Sandy can eat 6.5 slices in 2 minutes, which means she can eat 6.5/2 = 3.25 slices in 1 minute.
James can eat 3 slices in 1.5 minutes, which means he can eat 3/(1.5/2) = 4 slices in 1 minute.
Therefore, James can eat more pizza in 1 minute than Sandy.
To show the difference on a number line, we can mark 3.25 and 4 on the line, and subtract 3.25 from 4 to get the difference:
0 1 2 3 4
|---------|---------|---------|---------|
Sandy: 3.25
James: 4
Difference: 0.75
So the difference between the amounts of pizza eaten by James and Sandy in 1 minute is 0.75 slices.
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Rewrite each equation 5x – 4y = 6
Step-by-step explanation:
5x-4y=6.....eqn.1
or,5x=6+4y
or,x=6+4y/5....eqn.2
from eqn.1..5(6+4y/5)-4y=6
or,6+4y=6
:y=0 ans..
frm eqn.2
:x=6+0\5
:x=6/5 ans..
Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, . . . , E7 denote the sample points. The following probability assignments apply:
P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.
Let A = {E1, E4, E6} B = {E2, E4, E7} C = {E2, E3, E5, E7}
Find the probability of the intersection of A and B.
Answer:
The required probability for the intersection of A & B = 0.25
Step-by-step explanation:
Given that:
Sample space S = {E1, E2, E3, E4, E5, E6, E7} and the probability of each sample points are:
P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.
Also;
A = {E1, E4, E6}
B = {E2, E4, E7}
C = {E2, E3, E5, E7}
Then
P(A) = 0.05 + 0.25 + 0.10 = 0.4
P(B) = 0.20 + 0.25 + 0.05 = 0.5
P(C) = 0.20 + 0.20 + 0.15 + 0.05 = 0.6
The intersection of A and B are:
P(A ∩ B) = E4
P(A ∩ B) = 0.25
The required probability for the intersection of A & B = 0.25
find the third side in simplest radical form.
Answer:
C=12.8
On the caculator there are two buttons you need to press. 2nd and then x2. Once you press those add in 20.
You get 4.47 ROUND THAT to 4.5
12(2)+4.5(2)=C(2)
12×12=144 4.5×4.5=20.25
144+20.25=164.25
164.25=C(2)
On the caculator press 2nd and then x2
12.81=12.8
C=12.8
Identify the angles that each have a measure of 88°.
Answer:
vdnchdbcdbchdbnhdbnhvbdjvjdsvhdfnjvdjvjdv
Step-by-step explanation:
Evaluate 4p+q/p when p= -2 and q= -3
a) -11/2
b) 9/2
c) -9/2
d) 11/2
Answer:
D
Step-by-step explanation:
Answer:
d. 11/2
Step-by-step explanation:
(4p + q)/p
(4(-2) + (-3))/(-2) = (-8-3)/(-2)
11/2
HURRY PLEASE HELP!!!!!!
the answer choices are
A. 55
B. 40
C. 60
Answer:
A. 55
Step-by-step explanation:
hope this helps have a good day :)
A cube with a side of 1m was sawn into cubes with a side of 1 cm and then laid in a row (in a straight line). What was the length of this series?
Answer:
10 km
Step-by-step explanation:
volume of cube = s^3
1 m = 100 cm
volume = s^3 = (1 m)^3 = (100 cm)^3 = 1,000,000 cm^3
Since 1 m^3 = 1,000,000 cm^3, when you lay down the 1-cm cubes in a straight line with the edges touching, the line is 1,000,000 cm long.
1,000,000 cm = 10,000 m = 10 km
What is -7 as a fraction
Answer:-7/1
Step-by-step explanation:
Answer:
-7/1
Step-by-step explanation:
Find the value of x. Round to the nearest degree.
13.
22
14
Not drawn to scale
a. 47
b. 32
c. 40
d. 50
Answer:
32
Step-by-step explanation:
simplify 3(12 - 8) + 5
Answer:
17
Step-by-step explanation:
The value of the given linear expression 3(12 - 8) + 5 is 17.
What is a linear equation?
A linear expression is an expression in which the highest power of the variable is always 1. If there is no variable, we can assume the power of the variable as 0.
Therefore, the variable x⁰ = 1.
Given linear expression:
3(12 - 8) + 5
= 3 × 4 + 5
= 12 + 5
= 17
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if l || m,find the value of x, (8x + 20) (11x-31)
Answer:
x=17
Step-by-step explanation:
8x+20=11x-31
We simplify the equation to the form, which is simple to understand
8x+20=11x-31
We move all terms containing x to the left and all other terms to the right.
+8x-11x=-31-20
We simplify left and right side of the equation.
-3x=-51
We divide both sides of the equation by -3 to get x.
x=17
Answer:
17
Step-by-step explanation:
8x + 20 = 11x - 31
-8. -8
20 = 3× - 31
+31. +31
51 = 3x
/3. /3
x = 17
Simplify
27^n+3 -6×3^3n+3/3^n×9^n+2
Answer:27^n+3–6*3^3n+3–n*9^n+2
Step-by-step explanation:
If Michael can read 400 pages in 8 hours, how many pages can he read in 1 hour?
Step-by-step explanation:
He will read 50 pages in an hour
Identify the following data set:
The rates at which all of the cashiers scan products for a store on a study about the
cashiers for the day
Answer: Population
Step-by-step explanation:
Answer:
Population
Step-by-step explanation:
I just took the quiz
a group of 12 runners each drink 64 ounces of water every day how many ounces of water will they drink in 45 days
If b^2=a then b is what of a?
Answer:
[tex]\huge\boxed{b = \sqrt{a}}[/tex]
Step-by-step explanation:
If we have an equation [tex]b^2 = a[/tex] and we want to find what b is in relation to a, we can change the equation so that we have b on one side and whatever is on the other side is what b is.
[tex]b^2 = a[/tex]
To isolate b, we can take the square root of both sides as taking the square root of something squared results in the base.
[tex]\sqrt{b^2} = \sqrt{a}[/tex]
[tex]b = \sqrt{a}[/tex]
So b is the square root of a.
Hope this helped!
Need this ASAP
What is the constant of proportionality in the equationy=2x
Answer:
2
Step-by-step explanation:
[tex]y = 2x \\ \\ \frac{y}{x} = 2 \\ equating \: it \: with \: \\ \frac{y}{x} = k \\ \\ k = 2 \\ \\ [/tex]
Hence, constant of proportionality = 2
Which statement is false? Explain.
A. An equiangular polygon has all angles congruent.
B. A regular polygon is both equilateral and equiangular.
C. An equilateral polygon has all sides congruent.
D. A polygon is concave if no diagonal contains points outside the polygon.
Answer: D. A polygon is concave if no diagonal contains points outside the polygon.
Explanation:
Choice A is true since "equiangular" means "equal angles"
Choice B is true since all sides are congruent, and all angles are congruent for a regular polygon
Choice C is true. The term "lateral" means "side".
Choice D is false because a convex polygon is one where all possible line segments contained in the polygon do not spill outside the polygon. Put another way, if points A and B are in a convex polygon, then every point on line segment AB is also in the polygon. Concave polygons don't have this feature. It is possible to draw a line segment where it spills outside the concave polygon.
What slope would make the lines
parallel?
y = 4x + 2
y = [?]x-4
Enter the number that belongs in the green box.
Answer:
4
Step-by-step explanation:
Parallel lines have the same slope and since the slope of the first line is 4 the second lines slope is also 4
Answer:
Step-by-step explanation:
Slopes of parallel lines are the same.
m = 4
2) A farmhouse shelters 61 animals. Some are cows and some are ducks. Altogether there are
208 legs. How many of each animal are there?
You start at (3,-3). You move down 2 units and up 6 units. Where do you end? On a coordinate plane
Answer:
(3 , 1)
Step-by-step explanation:
(3 , - 3)
(3 , - 3 - 2 + 6) = (3 , 1)
help me please i dont know what this is i cant think
Answer:
ahhhhh swear that's scary honestly
Can someone help me answer
Answer: she should by 9 bottles of juice
Step-by-step explanation:
because there's 2 L per one bottle, 2L (X bottles) = 18L, X = 9
A car is going 50 miles per hour.
A rate that describes this would have units of?
А. miles and hours.
B. miles and cars.
C. hours only.
D. miles only.
miles and hours is the correct option.
NOT SURE BUT HOPE IT IS CORRECT AND HELPS YOU
Determine the unknown side of the similar triangle.
A)
2
B)
3
4
D)
5
Answer:
(C). 4
Step-by-step explanation:
Sides of the similar triangles are proportional.
if X ~ Y , then [tex]\frac{12}{6}[/tex] = [tex]\frac{8}{x}[/tex] ⇒ x = 4
Mr. Kim paid $360 in interest in one year for his $4,000 car loan. Using the formula for simple interest, what was the rate of interest?
Answer:
The rate of interest is 9%.
Step-by-step explanation:
Given that the formula for simple interest is I = (P×R×T)/100 where I represents interest, P is principle, R is rate interest and T is number of years. So you have to substitute the values into the formula :
[tex]i = \frac{prt}{100} [/tex]
[tex]let \: i = 360,p = 4000,t = 1[/tex]
[tex]360 = \frac{4000 \times r \times 1}{100} [/tex]
[tex]36000 = 4000r[/tex]
[tex] \frac{36000}{4000} = r[/tex]
[tex]r = 9[/tex]
Victoria spent one half of her birthday money on clothes. She received another $25 a week later. How much money did she get for her birthday if she ended up with $70?
Answer:
$90
Step-by-step explanation:
If she ended up with 70 dollars then subtract 25 from 70 and you will get 45. then you double 45 which gives you 90 dollars
A car moves at a speed of 30m/s to the west for 3hr. What is the displacement of the car in km?
HELP PLS A carnival charges $2.50 per ride after an entrance fee.You paid a total of $22.50 after 6 rides.Find the total cost for 15 rides.
Challenge You buy 3.17 pounds of oranges, 1.25 pounds of pears, and 2.44 pounds of apples.
What is your total bill?
Grocery Store Prices
Item
Cost
Oranges
$0.99 per
pound
Pears
$1.09 per
pound
Your total bill is $