Yes, a statement with the word 'per' is always a unit rate;
When comparing two different kinds of numbers with distinct units, a rate is a ratio that is employed. The unit rate, on the other hand, shows how many units of one quantity are equal to one unit of another. When the rate's denominator is 1, we refer to the rate as a unit rate. In actuality, the amount included in each unit or per unit is referred to as the unit rate. Let's use some instances to help us grasp this:
Unit rate is 20 miles per hour, or 40 miles in two hours.
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Which inequality correctly compares 5/6,1/2,3/9
and 1?
The inequality between (5/6), (1/2), (3/9) and 1 can be best described by
[tex][\frac{3}{9} < \frac{1}{2} < \frac{5}{6} < 1][/tex].
As per the question statement, we are provided with three proper fractions, (5/6), (1/2), (3/9) and an integer, 1.
We are required to correctly compare the inequality between the question mentioned terms.
Since all three fractions are proper fractions, i.e., their numerators are less than their denominators, hence, all three fractions are less than the integer 1.
Thus, we are required to determine the order of magnitude between the fractions. To do so, we will calculate the L.C.M of the denominators.
L.C.M of 2, 6 and 9 is 18.
Therefore, we will multiply both the numerator and denominators of (5/6) with 3, and we will obtain [tex]\frac{5*3}{6*3} =\frac{15}{18}[/tex].
Similarly, we will multiply both the numerator and denominators of (1/2) with 9, and we will obtain [tex]\frac{1*9}{2*} =\frac{9}{18}[/tex].
Finally, we will multiply both the numerator and denominators of (3/9) with 2, and we will obtain [tex]\frac{3*2}{9*2} =\frac{6}{18}[/tex].
Now comparing [tex][\frac{15}{18}, \frac{9}{18}, \frac{6}{18}],[/tex] we can see than all the denominators are now same (18). Hence, the order of magnitude of the fractions can be determined in the order of magnitude of the numerator values, i.e.,
[15 > 9 > 6] or, [6 < 9 < 15].
Therefore, [tex][\frac{6}{18} < \frac{9}{18} < \frac{15}{18}][/tex], or, [tex][\frac{3}{9} < \frac{1}{2} < \frac{5}{6}][/tex].
And since 1 is greater than any proper fraction, The inequality between (5/6), (1/2), (3/9) and 1 can be best described by [tex][\frac{3}{9} < \frac{1}{2} < \frac{5}{6} < 1][/tex].
Inequality: In mathematics, an inequality is a relation which makes a comparison between two non-equal numbers or other mathematical expressions, using the [<, >, ≤, ≥] symbols in the middle.To learn more about inequality, click on the link below.
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A 100kg bag of granulated sugar is to
be put into smaller polythene (nylon)
bags each containing 250g. How
many polythene bags will needed?
100 kg = 100000 g
∴ bags needed = [tex]\frac{100000}{250}[/tex] = 400
You are solving a measurement problem where the numbers 2.058 × 109 and 3.0571 × 10−4 are divided. How many significant digits should the quotient have?
The number of significant digits is 4
What is quotient?Quotient can be defined as the number that results from the division of a number by another number.
Example;
The quotient of 4 and 2 is expressed as;
= 4/ 2
= 2
From the information given, we have the numbers as;
2.058 × 10^93.0571 × 10^−4To determine the quotient, we have;
= 2.058 × 10^9/ 3.0571 × 10^−4
= 6. 731 × 10^12
The number of significant digits is 4
Thus, the number of significant digits is 4
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a. The cardinal number of {213, 214, 215, 216, ..., 912) is
Answer:
Step-by-step explanation:
a=213
l=912
let cardinal number=n
let c.d.=d
d=214-213=1
l=a+(n-1)d
912=213+(n-1)1
912=213+n-1
912-212=n
n=700
cardinal number=700
Simplify each expression. (9-7)^3 * 5^0 + (8+3)^2
Answer:
If your looking for the value it’s 129
(9-7)^3=8
5^0 + (8+3)^2=122
Step-by-step explanation:
If Sarah starts with $10 and spends all but $3, how much money does she have left?
Complete the following subtraction exercises.
10 – 2 =
14 – 6 =
15 – 9 =
17 – 8 =
13 – 5 =
11 – 8 =
20 – 8 =
16 – 7 =
12 – 9 =
21 – 9 =
11 – 6 =
5 – 5 =
4 – 0 =
16 – 8 =
10 – 5 =
18 – 7 =
13 – 8 =
12 – 4 =
Solve each of the following subtraction problems.
a. 6,321 – 4,879 =
b. 451 – 275 =
c. 15,278 – 6,327 =
d. 23,000 – 14,995 =
e. 54 – 19 =
On February 1, the electricity meter reading for the Smith residence was 19,423 kilowatt hours. On March 1, the meter read 20,288 kilowatt hours. On April 1, the meter read 21,163 kilowatt hours.
a. How many kilowatt hours of electricity did the Smiths use during February?
b. How many kilowatt hours did they use during March?
Last year, Terry earned $19,436. This year, Terry got a raise that increased her income to $23,457.
a. How much more money did Terry make this year?
b. If Terry gets the same raise again next year, what will her total income be then?
The height of the Leibnitz Range on the moon is 35,000 feet. The earth’s highest point, Mount Everest, measures 29,028 feet. How much taller is the Leibnitz Range?
On a word processing test, Iko typed 694 words in 15 minutes. On that same test six days later, Iko typed 753 words in 15 minutes. By how many words did Iko’s speed improve from the first test to the second test?
Perform each operation. Check by using the inverse operation.
a. 769 – 362 =
b. 502 + 17 =
c. 7,802 – 3,461 =
d. 1,432 + 2,568 =
Hi!
#1: Sarah would have $3 left.
#2:
10-2=8
14-6=8
15-9=6
17-6=11
13-5=8
11-8=3
20-8=12
16-7=9
12-9=3
12 – 9 = 3
21 – 9 = 12
11 – 6 = 5
5 – 5 = 0
4 – 0 = 4
16 – 8 = 8
10 – 5 = 5
18 – 7 = 11
13 – 8 = 5
12 – 4 = 8
#3:
a. 6,321 – 4,879 = 1,442
b. 451 – 275 = 176
c. 15,278 – 6,327 = 8,951
d. 23,000 – 14,995 = 8,005
e. 54 – 19 = 35
#4
a. How many kilowatt hours of electricity did the Smiths use during February?
They used 19,423 (I believe)
b. How many kilowatt hours did they use during March?
They Used 865
#5:
Last year, Terry earned $19,436. This year, Terry got a raise that increased her income to $23,457.
a. How much more money did Terry make this year?
39,893 (I believe)
b. If Terry gets the same raise again next year, what will her total income be then?
63,350 ( i believe)
#6: 5,972 Ft taller
#7: 59 words.
#8:
a. 769 – 362 = 407
b. 502 + 17 = 519
c. 7,802 – 3,461 = 4,341
d. 1,432 + 2,568 = 4,000
SA school has 900 concert tickets for sale. Some of them are for reserved seats (x) and the
rest are for general admission (y). No more than 600 reserved seat tickets can be sold. They
know they will sell at least 200 general admission tickets. Write a system of inequalities that
shows how many of each type of ticket can be sold and then graph the feasible region.
Answer:
x ≤ 600y ≥ 200x +y ≤ 900see the attachment for a graphStep-by-step explanation:
Given 900 tickets for sale and restrictions on the numbers of reserved and general admission seats, you want a system of inequalities that models the possible sales. You also want a graph of the feasible region.
The variables are defined as ...
x = number of reserved seat ticketsy = number of general admission ticketsInequalitiesThe limits give rise to these inequalities:
x ≤ 600 . . . . . no more than 600 reserved seats can be sold
y ≥ 200 . . . . . at least 200 general admission tickets will be sold
x + y ≤ 900 . . . . at most, 900 tickets can be sold
GraphThese inequalities can be graphed simply by giving them as input to a graphing calculator. The result is attached. The feasible region is that area of the graph where the three solution spaces overlap. Here, it is outlined in black.
•FIA: bid 2 =6
2- Given the 12 term of an arithmetic sequence which is 13
and d=2. Find the A1.
The first term of the arithmetic sequence [tex]a_{1}[/tex] is -9
As per the question statement, we are given an arithmetic sequence whose 12th given term is 13 and common difference is 2. We are supposed to find the first term [tex]a_{1}[/tex].
We know that the [tex]n_{th}[/tex] term in an arithmetic sequence is given by:
[tex]a_{n} = a_{1}+(n-1)d[/tex]
where "n" is the number of terms and "d" is the common difference.
Now in question, [tex]a_{n} =a_{12} =13[/tex]
[tex]d=2[/tex]
[tex]n=12[/tex] and we have to find [tex]a_{1}[/tex]
Substituting values,
[tex]13=a_{1} +(12-1)*2\\13=a_{1} +11*2\\13=a_{1}+22\\a_{1} = -9[/tex]
Hence [tex]a_{1} = -9[/tex]
Arithmetic sequence: Arithmetic Progression (AP) or arithmetic sequence is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value known as common difference.To learn more about Arithmetic sequence, click on the link given below:
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In the figure below, parallelogram ABCD was
translated to parallelogram A'B'C'D'.
How many units and in which direction were
the x-coordinates of parallelogram ABCD
moved?
A. Left 3
B. Right 3
C. Left 7
D. Right 7
Answer:
C. Left 7
Step-by-step explanation:
The question asks us about the number of units the x-coordinates of the parallelogram moved, therefore we have to look for the horizontal translation of the points A, B, C, and D.
To do this, we can look at the position of any of these points and the position of its corresponding point, to figure out how many units to the left or right they have moved.
For example, let's look at A and A':
To go from A to A', we have to move 7 units to the left.
It's the same for B and B' as well as the other points and their corresponding points.
Therefore the x-coordinates of parallelogram ABCD have moved 7 units to the left.
Plot the intercepts to graph the equation.
2x−8y=−8
Graph it
Answer:
Graphed it for you!
Step-by-step explanation:
3.5X divided by 9 = 4.2 divided by 5. What is X.
I came up with 54.3
Answer:
2.16
Step-by-step explanation:
if I understand the description correctly:
3.5*x / 9 = 4.2 / 5
3.5x = 4.2*9 / 5
x = 4.2*9 / 5*3.5
x=2.16
what is the domain of h
Answer:
Hello. The domain is (-5, 5), which translates to option D.
-5 ≤ x ≤ 5
Destiny wants to spend at most $240 on a video games. If each video game cost $30, what are all the possible number of games Destiny can buy?
Part A: Translate the situation into an Inequality
The inequality that best matches the situation is
Answer Choices: (30x) (x/30) (240x) (x/240)
Answer Choices: (<) (>) (> or =) (> or =)
Answer Choices: (240) (30)
Part B: Solve the Inequality from Part A
Remember to use x < or > or < underline or > underline
Answer:
30x <= 240
Step-by-step explanation:
Which of the dot plots shows a symmetric distribution?
The dot plot that has a symmetric distribution is option b.
What is a dot plot?A dot plot is a graph that has similarities with a histogram. A dot plot is made up of a number line and dots. A dot plot is used to represent the frequency of a data set.
The dots in the dot plot represent the frequency of the data. The greater the frequency of a data, the greater the number of dots the number has. For example, if a number has a frequency of 6, it would have 6 dots have it.
A dot plot is symmetric if the left side of the graph and the right side of the graph are mirror images of each other. A dot plot is skewed to the left if there are more dots on the left side of the graph. A dot plot is skewed to the right if there are more dots on the right side of the graph.
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What is the solution to -2(8x-4) < 2x + 5?
x > 2/1/20
x < 1/1/20
x>6
x<6
The solution to the given Inequality i.e. -2(8x-4) < 2x + 5 is x>[tex]\frac{1}{6}[/tex]
Inequality:
Inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to. Equations can be used to address Inequality problems when they are stated as questions or as declarations of fact in the form of theorems.
Given that a Inequality i.e. -2(8x-4) < 2x + 5 and asked to find the solution of the given Inequality.
⇒ -2(8x-4) < 2x + 5
⇒ -16x+8 < 2x+5
⇒3< 18x
⇒x>[tex]\frac{1}{6}[/tex]
Therefore,The solution to the given inequality i.e. -2(8x-4) < 2x + 5 is x>[tex]\frac{1}{6}[/tex]
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What is the correct graph for:
equation: y= x^2 - 1
Answer:
The first graph.
Hope this helps :)
Step-by-step explanation:
The y-intercept in the equation y = x^2 - 1 is -1.
So the first graph represents the point where the line intercepts the y-axis which is at - 1.
The y-intercept for the second graph is not - 1.
So the first graph would be correct for the equation
So the first graph would be correct for the equation y = x^2 - 1
Olivia is trying to get her friends to go swimming. She says it is 959595 degrees to convince them, but she rounded the temperature to the nearest one.
Which could be the temperature before Olivia rounded it? PLEASE ANSWER QUICKLY!!!
Answer:
t > 94.5
Step-by-step explanation:
Pls help it’s just one answer
Answer:
its 5 good luck
Step-by-step explanation:
Answer:
40 - 35 = 5 dollars more
Jennie median = 40
Markos median = 35
Subtract and it equals = 5
Hope this helps with your question :)
Fission of 1 kg of element B releases ? times as much energy as burning 1 kilogram of element A. (Round to the nearest whole number as needed.)
Fission of 1 kg of element B releases 26 times as much energy as burning 1 kilogram of element A.
What is a ratio?A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
What is a proportion?A proportion can be defined as an expression which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
Next, we would determine the ratio of the energy released by elements A and B:
EB : EA = EB/EA
Ratio = 1.3 × 10¹⁰/5.1 × 10⁸
Ratio = 25.49 ≈ 26.0
Therefore, fission of 1 kg of element B releases 26 times as much energy as burning 1 kilogram of element A.
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Complete Question:
Use the table to the right to answer the following question.
Compare the energy released by fission of 1 kilogram of element B to that released by burning 1 kilogram of element A.
Energy released by burning 1 kilogram of element A is 5.1 × 10⁸
Energy released by fission of hydrogen in 1 kilogram of element B is 1.3 × 10¹⁰
Fission of 1 kg of element B releases ____ times as much energy as burning 1 kilogram of element A. (Round to the nearest whole number as needed.)
how do I get the answer to blank space in the picture below
Answer:
Answer is 1Step-by-step explanation:
Using addition(Left hand side) 5 + 1 = 6
(Right hand side) 5 + 1 = 6
Hope this helpsGood luck ✅Please Answer Math 10 Part 2
Answer:
Hello,
Step-by-step explanation:
4)
[tex]u_n=1+3*n\\u_{12}=1+3*12=37\\[/tex]
5)
[tex]u_n=-14+4*n=\\u_{10}=-14+4*10=26\\[/tex]
6)
[tex]u_n=\dfrac{5}{3} +\dfrac{n}{3} \\\\u_{16}=\dfrac{5}{3} +\dfrac{16}{3} =\dfrac{21}{3} =7[/tex]
f(x)=4x^2-x-3, find x when f(x)= -3
Answer:
x = 0 or x = 1/4
Step-by-step explanation:
f(x) = 4x^2-x-3 = -3
4x^2 - x - 3 = -3
4x^2 - x = 0
x(4x - 1) = 0
x = 0 or 4x - 1 = 0
x = 0 or x = 1/4
Answer:
The values for x are x =0 x = 1/4
Step-by-step explanation:
f(x)=4x^2-x-3
find f(x) = -3
Let f(x) = -3
Solve for x
-3 = 4x^2-x-3
Add 3 to each side
-3+3 = 4x^2-x-3+3
0 = 4x^2-x
Factor out an x
0 = x( 4x-1)
Using the zero product property
0 = x 4x-1 =0
0=x 4x=1
0=x x = 1/4
The values for x are x =0 x = 1/4
Write and solve a subtraction word problem using the numbers 34,508 and 8,529
Answer:
Jack and Jill look at all their savings, Jack has £34,508 and Jill has £8,529. How much more does Jack have than Jill?
Step-by-step explanation:
34,508 - 8529 = 25979
Answer:
lay lay and jay went to the store and bout some candy they had 34,508 dollers and spent 8,529 dollers how much money do they have left
Step-by-step explanation:
hey did i help pls mark brainliest
Points P and S are located the same distance from 0 on the
number line shown.
The expression which has a negative value according to the number line drawn in the task content where points P and S are as given is; Choice D; P + 1.
Which expression has a negative value according to the number line drawn in the task content?It follows from the task content that the expression which has a negative value among the given answer choices is to be identified.
As evident in the number line, the number S is greater than 1, and hence, is a positive number.
Also, the number P is less than -1 and hence, is a negative number.
Since, the task content requires that the expression with negative value be identified, it follows that the required expression is; Choice D.
This follows from the fact that, hypothetically, the value of P is -1.8, hence; P + 1 = -1.8 + 1
= -0.8
Ultimately, The expression which has a negative value according to the number line drawn in the task content where points P and S are as given is; Choice D; P + 1.
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what is the answer to 0.25 x 2.6 this is for hw
A triangle has lengths 29, 29, and 40. Can you find another isosceles triangle with the same perimeter and area and also with sides of integral length but not congruent to the given one? (Hint: the use of Heron’s formula will help).
PLEASE HELP!!!
The mathematical form of perimeter and area formulas allows us to find obtain the same values from triangles not congruent to each other due to commutative property for addition and multiplication.
Is it possible to obtain the same perimeter and area from triangles with same sides but not congruent to each other?
The perimeter is equal to the sum of the lengths of the three sides of the triangle and the Heron's formula allows us to calculate the areas in term of the three side lengths:
A = √[s · (s - a) · (s - b) · (s - c)]
s = 0.5 · (a + b + c)
Where:
s - Semiperimetera, b, c - Side lengthsThe mathematical form of perimeter and area formulas allows us to find obtain the same values from triangles not congruent to each other due to commutative property for addition and multiplication.
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The equation of the linear regression line of the scatterplot defined by these points: (1, 45), (2, 35), (3, 20), (4, 5) is?
Group of answer choices
y = -13.5X - 60
y = –13.5x + 60
y = 13.5X + 60
y = 13.5X -60
Answer: y = –13.5x + 60
Step-by-step explanation:
Please help me.I'll give brainliest.
Answer:
24cm
Step-by-step explanation:
24÷2=12
1/2×b×h=1/2×12×10
=60cm
60-24=36
36-12=24cm
AustralianFish=24cm
1
2
3
4
5
6
-1
-2
-3
-4
-5
-6
1
2
3
4
5
6
-1
-2
-3
-4
-5
-6
u
p(u)
Write an equation for the function graphed above.
I. Need help on this iready
Answer:
first choice on the left.
Step-by-step explanation:
Comment
That is not the easiest graph I've seen to interpret. What it shows is that each cup of juice is 3/4 of a cup.
The graph says she has 4 cups that she can give out. She has 1/4 cup left over which is why it is marked.
Technically the answer is 4 cups with 1/4 cup left over, so the answer should be A.