Answer:
x=3
Step-by-step explanation:
So first do distributive property, which makes it 128x+128=512, then subtract 128 from both sides which makes it 128x=384, then divide by 128 on both sides and you get x=3.
What should the following rate be divided by to convert it to a unit rate?
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
A recipe calls for 1 3/4 cups of milk for 8 servings. If the recipe is increased to 24 servings, how much cups of milk are needed?
Assuming there is the same amount of cups of milk per serving.
Answer:
\(5~1/4\)
Step-by-step explanation:
When we increase from \(8\) servings to \(24\) servings, we triple the amount of servings needed, and hence we triple the amount of ingredients needed.
So, the amount of cups of milk needed is \(3(1+3/4)=3+9/4=3+2~1/4=5~1/4\).
So, the answer is \(\boxed{5~1/4}\) and we're done!
The number of cups of milk needed for the recipe is 5 1/4 cups.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Suppose we have two ratio p : q and r : s. If both these ratios are proportional, then we can write it as p : q = r : s.
Given that,
A recipe calls for 1 3/4 cups of milk for 8 servings.
We have to find the number of cups of milk needed for 24 servings.
The ratio of the number of cups of milk to the number of servings will be equal.
Let x be the number of cups of milk needed for 24 servings.
1 3/4 cups = 7/4 cups
Using proportion,
7/4 / 8 = x / 24
8x = 7/4 × 24
8x = 42
x = 42 / 8
= 21 / 4
= 5 1/4 cups.
Hence the number of cups needed for 24 servings is 5 1/4 cups.
Learn more about Proportions here :
https://brainly.com/question/30675490
#SPJ2
The tree in your friend's yard casts a shadow that is 27 feet long. Your friend is 5 feet tall and casts a shadow that is 4.5 feet long. What is the height of the tree?
Answer:
the tree is 30 ft tall
Step-by-step explanation:
27/x = 4.5/5
cross multiply
(4.5)(x) = (27)(5)
4.5x = 135
divide the entire equation by 4.5 to isolate x
135/4.5 = 30
x = 30
Answer:
30ft
Step-by-step explanation:
Proportion/ratio question
Tree : Your friend
27ft : 4.5ft
? : 5ft
Formula given divided by the original or missing value equivalent
g/o = 5/4.5 = 1.11111 multiplier
Then use multiplier for the tree given value.
27 x 1.111111 = 29.999997
= 30ft
Andy and Nick went to the amusement park. They each bought a sandwich, and Nick got a small drink. Andy had a $10 gift certificate to put toward the cost, and Nick paid the rest, which came to $44.50. A ticket costs $20.00, and a sandwich costs $6.50. How much does a drink cost at the amusement park?
Answer:
$1.25
Step-by-step explanation:
To do this problem, you need to note that they bought two of almost everything. You are also working backwards at first to get how much they spent total and then taking away the expenses.
The first step is finding how much money they spent total, and you can do this by adding the gift certificate to the price:
44.5 + 10 = $55.50
Now, you see that they each bought a ticket for $20 EACH. There were two tickets (one for Andy, one for Nick). So multiply 20 by 2 and subtract that from your total cost.
$55.50 - (2 * $20) =
$55.50 - $40 =
$15.5
They bought a total of TWO sandwiches at 6.50 each. So repeat these steps, subtracting from the number above (underlined)
$15.50 - ($6.50 * 2) =
$15.50 - $13 =
$2.5
They bought two drinks that totaled to be $2.50.
To find the cost of ONE drink, divide this number by 2:
$2.50/2 =
$1.25
Answer:
A drink costs $1.5 at the amusement park
Step-by-step explanation:
44.50 + 10 = 54.5
2 people 1 ticket = $20 1 sandwich = $6.5
20 × 2 = 40
6.5 × 2 = 13
40 + 13 = 53
54.5 - 53 = 1.5
answer pls the question
Answer:
A AND D ARE CORRECT.
Step-by-step explanation:
IT IS A NUMBER LINE SO IT IS JUST BASIC ADDITION AND SUBTRACTION.
How far did I travel to reach my destination on each day of my three-day Trip?
a. On Day 1, after traveling 5/8 of the way to the first day's destination, I still had 15 miles left to go before reaching my first destination.
b. On Day 2, after traveling 18 miles, I still had 2/5 of that day's distance left to go before reaching my second destination.
c. On Day 3, after traveling 5/11 of that day's distance, I still had 6 more miles to travel than what I had already traveled that day, before reaching my third destination.
Answer:
81 miles
Step-by-step explanation:
Day 1
3/8---15 miles
1/8---5 miles
8/8---40 miles
Day 2
3/5---18 miles
1/5---6 miles
5/5---30 miles
Day 3
6/11---6 miles
1/11---1 mile
11/11---11 miles
Total: Day 1 + Day 2 + Day 3
40+30+11=81
What is the ratio of the corresponding side lengths?
4:9
4:2
26:26
4.5:2
Answer:
4:2
Step-by-step explanation:
Answer:
4 : 2
Step-by-step explanation:
We are given ΔABC ≅ ΔA'B'C'.
When two triangles are congruent, their corresponding sides and angles are congruent.
Since, the sides of the triangles are in relation,
AB = 2 × A'B' and side BC = 2 × B'C' i.e. 4 = 2 × 2 and 9 = 2 × 4.5.
Therefore, the ratio of the corresponding sides are given by 4 : 2 and 9 : 4.5 i.e. 2 : 1.
Since, the ratio of the corresponding sides comes out to be 2 : 1 = 4 : 2.
Hence, the ratio of the corresponding sides is 4 : 2.
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Bay Side School Seaside School
8, 6, 5 0 5, 8
8, 6, 5, 4, 2, 0 1 0, 1, 2, 5, 6, 8
5, 3, 2, 0, 0 2 5, 5, 7, 7, 8
3 0, 6
2 4
Key: 2 | 1 | 0 means 12 for Bay Side and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
PLEASE HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Part A: To calculate the measures of center, we can find the median and the mean for each school.
For Bay Side School, the median class size is the average of the 8th and 9th values when the data is sorted in ascending order. The 8th and 9th values are both 25, so the median class size is 25.
To find the mean class size for Bay Side School, we can add up all the class sizes and divide by the total number of classes. The sum of the class sizes is 12 + 12 + 12 + 14 + 15 + 15 + 16 + 16 + 18 + 18 + 20 + 20 + 23 + 25 + 25 = 243. There are 15 classes, so the mean class size is 243/15 ≈ 16.2.
For Seaside School, the median class size is the average of the 8th and 9th values when the data is sorted in ascending order. The 8th and 9th values are both 15, so the median class size is 15.
To find the mean class size for Seaside School, we can add up all the class sizes and divide by the total number of classes. The sum of the class sizes is 10 + 10 + 10 + 11 + 12 + 15 + 15 + 16 + 17 + 17Part A (continued):
18 + 18 + 20 + 20 + 25 = 222. There are 14 classes, so the mean class size is 222/14 ≈ 15.9.
Therefore, the measures of center for Bay Side School are: median = 25, mean ≈ 16.2.
The measures of center for Seaside School are: median = 15, mean ≈ 15.9.
Part B: To calculate the measures of variability, we can find the range and the interquartile range (IQR) for each school.
For Bay Side School, the range is the difference between the largest and smallest class sizes. The largest class size is 25, and the smallest class size is 12, so the range is 25 - 12 = 13.
To find the IQR for Bay Side School, we need to find the first quartile (Q1) and the third quartile (Q3) of the data. From the stem-and-leaf plot, we can see that Q1 is 15 and Q3 is 20. Therefore, the IQR is 20 - 15 = 5.
For Seaside School, the range is the difference between the largest and smallest class sizes. The largest class size is 25, and the smallest class size is 10, so the range is 25 - 10 = 15.
To find the IQRPart B (continued): for Seaside School, we need to find the first quartile (Q1) and the third quartile (Q3) of the data. From the stem-and-leaf plot, we can see that Q1 is 12 and Q3 is 18. Therefore, the IQR is 18 - 12 = 6.
Therefore, the measures of variability for Bay Side School are: range = 13, IQR = 5.
The measures of variability for Seaside School are: range = 15, IQR = 6.
Part C: If you are interested in a smaller class size, Seaside School is a better choice because its measures of center are lower than those of Bay Side School, indicating that its class sizes tend to be smaller on average. Additionally, Seaside School has a smaller range and IQR, indicating less variability in class size. Therefore, there is less chance of encountering very large classes at Seaside School compared to Bay Side School.
Find the area of Figure 1.
A.10 units2
B.25 units2
C.7.5 units2
D.15 units2
Find the area of Figure 3.
A. 15 units2
B. 7.5 units2
C. 25 units2
D. 10 units2
PLEASE ASAP PLEASE!!!
Answer: Figure 1 is A and Figure 3 is D
Step-by-step explanation:
Length for figure 1 is 10 units and the width is one, using the formula a=l*w
10=1*10
Length for figure 3 is 5 units and the width is 2 a=l*w 10=5*2
The water level in a glass decreases 0.4 cm each hour due to evaporation. At the beginning of the experiment, the water level is 12.6 cm.
Let x represent time, in hours, elapsed since the beginning of the experiment and let y represent the water level, in centimeters.
Part A
Construct a linear function, using x and y from above, that determines the water level at a given time, in hours, after the experiment begins.
Part B
How many hours does it take for all of the water to evaporate?
Answer:
Part A
12.6 - 0.4x = y
Part B
x = 31.5
Step-by-step explanation:
Part B
12.6 ÷ 0.4 = 31.5 hours
y=12.6-0.4x is the required linear equation and it takes 31.5 hours to completely evaporate the water in glass.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that in the beginning of the experiment, the water level is 12.6 cm.
The water level in a glass decreases 0.4 cm each hour
Let x represent time, in hours, elapsed since the beginning of the experiment and let y represent the water level, in centimeters.
We need to find the linear function, using x and y from above, that determines the water level at a given time, in hours, after the experiment begins.
y=12.6-0.4x
We need to find how long will it take to for all of the water to evaporate.
12.6/0.4 = 31.5 hours
Hence, y=12.6-0.4x is the required linear function and it takes 31.5 hours to completely evaporate the water in glass.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Please help me with this IXL! Thanks
Help me with this please-
Answer:
19<x<25
Step-by-step explanation:
_______________________________________________________
| | | |
2 17 19 25
x < -9=?
plsssssssssss help
Answer:
any number below -9, or any regular number.
please give brainliest ☻︎
dilation of 0.25 about the origin y(-2,-1),x(0,2)w,(2,2)
Answer:
D
Step-by-step explanation:
Just multiply everything/the coordinate points by 0.25 lol ( I recommend desmos dot com if you want to visualize graphs)
Dilation of 0.25 equals:
Y(-0.5, -0.25)
X(0, 0.5)
W(0.5, 0.5)
The measure of z (4x-5) if x=7 find the measure of z then classfiy then angle
Answer:
x=2
Step-by-step explanation:
...........................................
A triangle has angles of 124°, 28°, and 28°. Explain whether or not the triangle can have its three side lengths equal to 7 units, 6 units, and 14 units.
No it cannot. There are a couple of ways to prove this. The easiest way is that we know by looking at the angles that we have an Isosceles triangle, because we have 2 angles of the same value. We know that an Isosceles triangle must have at least 2 sides of the same length, which means that this triangle cannot have the side lengths listed.
Find f(1/3) if f( n ) = 3 n
1
3
1 /3
(A explanation along with the answer would be appreciated because I have no idea how to do this)
Answer:
1
Step-by-step explanation:
Simplify 1/3
I NEED THIS NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
For each of the figures, write Absolute Value equation in the form
|x−c=d|, where c and d are some numbers, to satisfy the given solutions:
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee plsssssssssssssssss
Drag the geographical features that helped Rome flourish to the box.
plains added to
mountains
plateaus
desert
geographical features that helped Rome flourish
Answer:
1.mountains plains rivers
2. A
3.C
4.B
Step-by-step explanation:
yes
A poster storage tube in the shape of a cylinder has a diameter of 3.5 inches and a volume of 122.5 (pi) cubic inches. What is the height of the poster storage tube in inches. What is the height of the poster storage tube in inches?
Answer:
the hieght is 12.7 inches
Step-by-step explanation:
v=122.5
r=d/2
3.5/2=r
r=1.75
v=pir²h
122.5 =piR²h
122.5=pie1.75²h
okay so frist solve for r sense exponents come before multiplication in bedmask
122.5 =pi3 .06g
so then it's pie times r
122.5=9.61 *h
122.5/9.61=h
12.7=h
Answer:h≈12.73in
d Diameter
3.5
in
V Volume
122.5
in³
h
r
h
r
r
h
A
b
Using the formula
V=π(d
2)2h
Solving forh
h=V
π(d
2)2=122.5
π·(3.5
2)2≈12.7324in
Step-by-step explanation:
Please help me with this I would give you 50 points.
Answer:
sorry I dont think it makes sence
Step-by-step explanation:
because if is 1:3 and your going to add 6 cats it probably wont work out. there is a mistake on your text book
Select all expressions that are equivalent to 5n-30
n+n+n+n+n−30
5n + (-30)
5n-30n
(n-6) x 5
5 (n-30)
Answer: everything EXCEPT 5(n-30)
Step-by-step explanation:
How does the decimal point move when 50.2 is multiplied by 1102?
Step-by-step explanation:
50.2 = 5.02 × 10¹
1102 = 1.102 × 10³
so,
50.2 × 1102 = 5.02 × 1.102 × 10³×10¹ =
= 5.02 × 1.102 × 10⁴
so, the decimal point moves 3 positions to the right :
55,320.4
−1/8(2h+4)+1/2=−7/4
what is h
Answer:
h=7
Step-by-step explanation:
a and are different numbers that are selected from the first 25 whole numbers: 1 through 25.If a is greater than b, what is the smallest value the expression could have?
Answer:
The smallest value the expression could have is 1.
Step-by-step explanation:
If a and b are different numbers selected from the first 25 whole numbers (1 through 25), and a is greater than b, the smallest value the expression could have is when b is the smallest possible value and a is the next smallest value.
The smallest possible value for b is 1, and a must be greater than b. Therefore, the smallest possible value for a is 2.
So, the smallest value the expression could have is 2 - 1 = 1.
Bob sets the price of the plants according to their height in inches. A plant that is 9.5 inches high costs $2.28 in his store. What is the price per inch of a plant? Show your calculation.
Answer:
2.28 divide 9.5
=0.24
Step-by-step explanation:
if im not wrong it is 24cents each inch $2.28÷9.5=0.24
Find the area of the polygon
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Find the measurements
Answer:
<1=28, <2=62
Step-by-step explanation:
You know that the large triangle is 180 and there is a smaller triangle that is also 180. You are also provided an angle is 90 and another is 62.
90+62=152.
180-152=28. So, angle 1=28.
28+90=118.
180-118=62
The value of measure of angle ∠1 is,
⇒ ∠1 = 28°
And, The value of measure of angle ∠2 is,
⇒ ∠2 = 118°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Now, For definition of angles of triangles;
We get;
⇒ 62° + 90° + ∠1 = 180°
⇒ 152° + ∠ 1 = 180°
⇒ ∠ 1 = 180° - 152°
⇒ ∠1 = 28°
And, Sum of two interior angles of triangle is equal to an exterior angle of triangle.
Hence, We get;
⇒ ∠2 = ∠1 + 90°
⇒ ∠2 = 28° + 90°
⇒ ∠2 = 118°
Thus, The value of measure of angle ∠1 is,
⇒ ∠1 = 28°
And, The value of measure of angle ∠2 is,
⇒ ∠2 = 118°
Learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ7