The complete question is
"Given that the expression “p dollars for every q items” describes a unit price, which statement must be true?
p = 1
p = q
q = 1
pq = 1"
The statement that must be true would be from option D; pq = 1.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that the expression “p dollars for every q item” describes a unit price,
So, the equation will be formed as
p x q = 1
pq = 1
Hence, the statement that must be true would be from option D; pq = 1.
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On. map with a scale of 1:75 000 the distance between a hotel and the airport is 3 cm
What is the actual distance I'm km?
a. 2.25
b. 2.5
c. 22.5
d. 25 km
please help
Answer:
a. 2.25 km
Step-by-step explanation:
the scale on a map means how many units in the mapp corresponds to how many units in reality.
in this case
1 cm on the map = 75000 cm in reality =
= 75000/100 m = 750 m =
= 750/1000 km = 0.75 km
3 cm = 3×1 cm = 3 × 0.75 km = 2.25 km
What is the solution of the inequality sh
below?
9+b≤2
Answer:
b≤-7Step-by-step explanation:
b+9≤2
Subtract 9 from both sides:
b+9-9≤2-9b≤-79+b≤2
subtract 9 on each side which will be -7
the answer will be b≤-7
if x + 3y = 25 write y in terms of x and also find the two solutions of this equation
Answer:
y= 25/3 - x/3
Step-by-step explanation:
y= 25/3 - x/3
There are 135 people in a sport centre.
73 people use the gym.
59 people use the swimming pool.
31 people use the track.
19 people use the gym and the pool.
9 people use the pool and the track.
16 people use the gym and the track.
4 people use all three facilities.
How many people didn't use any facilities?
Answer:
200wuwusjjdhsuauuaiajjduwiqisidiwiwia
Answer:
n(U) = n(G)+n(S)+n(T)-n(GnS)-n(GnT)-n(TnS)+n(GnTnS) + n(GnTnS)^c
135= 73+59+31-19-9-16+4+ n(GnTnS)^c
no. of people not using any facility =12
Solve for x.
Enter your answer in the box.
x = ...°
(Please refer to attached image.)
Answer:
132
Step-by-step explanation:
6 angles plug in for n
(n-2)*180
4*180
720 degrees in all
subtract all other angles
Moscow: -5.5°C Cold Lake: -17.5°C Choose the correct inequality symbol to complete the inequality statement, -5.5°C ________ -17.5°C.
Answer:
-5.5°C > -17.5°C
Step-by-step explanation:
Since -5.5 is larger than -17.5
The correct inequality symbol to complete the inequality statement is ">" (greater than). [tex]-5.5^{\circ}C > -17.5^{\circ}C[/tex].
To understand why this symbol is used, let's compare the two temperatures.
The temperature in Moscow is -5.5C, while the temperature in Cold Lake is [tex]-17.5^{\circ}C[/tex].
Since -5.5 is greater (warmer) than -17.5, use the ">" symbol to indicate that [tex]-5.5^{\circ}C[/tex] is greater than [tex]-17.5^{\circ}C[/tex].
Here's a step-by-step explanation:
Begin by comparing the numerical values of the temperatures: -5.5 and -17.5.Since -5.5 is a higher value (closer to 0) compared to -17.5, it means that Moscow's temperature is warmer than Cold Lake's temperature.The ">" symbol is used to represent "greater than" in an inequality statement.By using the ">" symbol, we express that [tex]-5.5^{\circ}C[/tex] is greater (warmer) than [tex]-17.5^{\circ}C[/tex].In summary, when comparing the temperatures of Moscow and Cold Lake, the correct inequality statement is [tex]-5.5^{\circ}C > -17.5^{\circ}C[/tex], indicating that Moscow's temperature is higher (warmer) than Cold Lake's temperature.
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2x+y=8
y+3z=5
z+2w=1
5w+3x=9
what is x,y,z,w
Answer:
Systems of equations:
x=3
y=2
z=1
w=0
Add.
(−2+6x^3−3x^2)+(4x^3−5+x^2)
Answer:
10x^3 - 2x^2 -7
Step-by-step explanation:
To subtract polynomials, you want to subtract the biggest exponent from the first polynomial to the second
so 6x^3 + 4x^3 and that would be 10x^3
then -3x^2 + x^2 and the negative is larger so it would be -2x^2
and finally -2 + -5 and that is -7
hope this helps! :)
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The correct representations are - 6x + 15 < 10 - 5x , An open circle is at 5 and a bold line starts at 5 and is pointing to the right , Option C and E are the right answers.
What is Inequality ?Inequality are the mathematical statements where algebraic expressions are equated by another algebraic expression or a constant using an Inequality Operator.
The given statement is
–3(2x – 5) < 5(2 – x)
On simplifying can be written as
- 6x + 15 < 10 - 5x
- 6x + 15 < 10 - 5x
- 6x < -5 - 5x
- x < - 5
x > 5
An open circle is at 5 and a bold line starts at 5 and is pointing to the right .
Therefore Option C and E are the right answers.
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The diagram shows a swimming course set out on a lake. Angle BCA = 90°. B 80m 145m C A Not to scale C is due north of A. Calculate the bearing of B from A.
the pronunciation of this question is wrong make it right first then I will answer
Step-by-step explanation:
please send this question again because I I think you want to write it fast and by mistake you are wright wrong
Work out the equation of line B. Give your answer in the form y = mx + c, where m and care integers or fractions in their simplest forms. Work out the equation of line B. Give your answer in the form y = mx + c , where m and care integers or fractions in their simplest forms .
Answer:
y = -3x + 1
Step-by-step explanation:
the line crosses the y-axis at (0,1) then c = 1
The points (0,1) and (1,-2) lie on the line then
m = slope = [(-2)-1]÷(1-0) = [-3]÷(1) = -3÷1 = -3
Therefore,
The equation of the line is : y = -3x + 1
On a number line, 1.43 would be located ______. Choose all answers that make a true statement.
1.43
《--|----|----|----|----|----|----|----|----|----|--》
A. to the left of 1.41
B. between 1 and 2
C. between 1.42 and 1.44
D. to the right of 1.45
Answer:
B and C
Step-by-step explanation:
Which graph is an example of a function whose parent function is y = StartRoot x EndRoot?
On a coordinate plane, a curve starts at (negative 1, negative 1) and then curves up and to the right into quadrant 1.
On a coordinate plane, a parabola has a vertex at (0, 1).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 1. One curved decreases from quadrant 2 into quadrant 1 and approaches y = 1. It crosses the y-axis at (0, 2). The other curve approaches y = 1 in quadrant 1 and then curves down and approaches y = negative 1 in quadrant 3. It crosses the x-axis at (negative 2, 0).
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).
Using translation concepts, the graph of a translated function of [tex]y = \sqrt{x}[/tex] is given by:
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
[tex]y = \sqrt{x}[/tex] starts at (0,0) and in it's entirety, is in quadrant 1. When it is shifted down and left, it will start on quadrant 3 and increase into quadrant 1, hence the correct option is given by:
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).
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Answer:
A
Step-by-step explanation:
I took it
If you draw all hearts from a deck of 52 cards,
what is the ratio of the remaining cards to the
whole deck?
Answer:
39
Step-by-step explanation:
Okay so there are 52 cards in a deck and there are 4 of each card. 4 kings 4 Queens 4 Jacks 4 Ace 4 Twos 4 Threes 4 fours 4 fives 4 sixes 4 sevens 4 eights 4 nines 4 tens. One from each group is a heart there are 13 groups so therefore subtract 13 from 52.
Josh and Bella picked apples from a tree. Josh had 3 less than 2/3 of Bellas apples. If Josh had 7 apples, how many apples did Bella have?
Answer:
Bella had 15 apples
Step-by-step explanation:
First, you see that Josh has 3 less than 2/3 of Bellas apples. If Josh has 7 apples you would add 3 to 7 which = 10. Assuming that 10 = 2/3 of Bellas apples, then you would subtract half of 10 and get 5. 1/3 = 5 apples. Lastly, you should do 5 * 3 which = 15. Bella had 15 apples.
You’re planning to place an order from an online boutique. Leggings are $12 each and shipping is a flat rate of $5. Write an expression that represents the total cost of your order (not including tax) based on the number of leggings (l) you buy.
Answer:
For the cost of each legging to be $12, and the shipping of $5, the expression is a straight line C = 12x + 5 where x is the number of leggings.
Step-by-step explanation:
It is given that each legging costs $12. This means that for x number of leggings, the cost will be $12x. Now there is an additional cost of shipping that is $5. So, total cost will be a linear equation and can be written as
C = 12x + 5
This equation represents a straight line like y = mx + c. Here y = C, m = 12 and c = 5.
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If triangle DAB = Triangle CBA
Angle D = 132 degrees and Angle C = x + 18
x = ?
please help
Answer:
x = 114
Step-by-step explanation:
since the triangles are congruent, then corresponding angles are congruent, that is
∠ C = ∠ D
x + 18 = 132 ( subtract 18 from both sides )
x = 114
Probability and Two-Way Tables
Answer:
the answer are A and Y , B and X.
A and X are two independent events , Option A is the correct answer.
When is Probability ?Probability is the likelihood of an event to happen
A two way table is given
The two events will be independent when
If A is the first event and B is the second event , then
P(A) = P(A|B)
Here the P(A) = 30/100 = 0.3
P(B) = 20/100 = 0.2
P(A|X) = 15/50 = 0.3
P(A) = P(A|X)
Therefore A and X are two independent events , Option A is the correct answer.
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Mai bought a wedge with a central angle of 45 degrees and radius 10 centimeters. what is the area of the top surface of this wedge? , 1 of 2. select choice square centimeters
Using the area of a sector formula, we get the area to be:
[tex]\pi (10)^{2} \left(\frac{45}{360} \right)=\boxed{12.5\pi \text{ cm}^{2}}[/tex]
please help me with this. put the shapes in their correct place on the Venn diagram. Screen shot and edit if you have to.
View the answer in the Venn Diagram below.
A quadrilateral is a flat shape with four edges and four corners, also known as vertices. The quadrilateral has angles at each of its four vertices, or corners. The angles at the vertices of a quadrilateral ABCD are A, B, C, and D. A quadrilateral has the following sides: AB, BC, CD, and DA.
A simple (non-self-intersecting) quadrilateral with two sets of parallel sides is known as a parallelogram in Euclidean geometry.
A quadrilateral with equal angles and parallel opposing sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and breadth of any rectangle form serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.
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You are going on vacation with your family to the beach. You already spent $160 on
groceries for the week, and you know that each time you eat out you will spend another
$40. Does The relationship between the number of the Times eating out in the total budget represent a linear function?
Answer:$440, 9
Step-by-step explanation:
The relationship between the number of the times eating out in the total budget represent a linear function.
What is a linear function?"A linear functions are those whose graph is a straight line."
Given, I already spent $160 on groceries for the week.
Each time I eat out you will spend another $40.
Let, I eat 'x' times during vacation.
Therefore, the required function will be:
f(x) = 160 + 40x
Hence, the function is a linear function.
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A cylindrical barrel of water has a base radius of 30 cm and is 110 cm high.
a) Find it’s volume in cm³.
b) Find it’s capacity in litres
( Hint is 1 cm³= 1 ml )
c) Find the number of bottles of water that can be filled from the barrel if each bottle holds 0.73 litres.
The volume of the cylinder is in the cubic cm is 311017.67 and in litres is 311.017, and the number of bottle is 426.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
We have:
The radius of the cylindrical barrel r = 30 cm
Height of the cylindrical barrel h = 110 cm
Volume:
[tex]\rm V = \pi (30)^2 (110)[/tex]
V = 311017.67 cubic cm
The volume of litres:
V = 311.017 cubic ml (1 liter = 1000 cubic cm)
Number of bottles = 311.017 /0.73= 426 bottles
Thus, the volume of the cylinder is in the cubic cm is 311017.67 and in litres is 311.017, and the number of bottle is 426.
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What is the intersection of line CA a and line XA?
Answer:
point A is the intersection point between XA and AC
Ten years ago Victors age WAs half of the age he will be in 10 years how old is he now?
By solving a linear equation, we will see that Victor is 30 years old.
How old is Victor now?
Let's say that Victor is x years old.
We know that 10 years ago, (x - 10), his age was half of what it will be in 10 years (x + 10).
Then we can write the linear equation:
(x - 10) = (x + 10)/2
Now we can solve that equation for x:
2*(x - 10) = x + 10
2x - 20 = x + 10
2x - x = 10 + 20
x = 30
So we conclude that Victor is 30 years old.
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What is the sum of 4 + (-6)?
Answer:
-2
Step-by-step explanation:
4 + (-6) = -2
Which of the following parent functions has a domain and range of all real
numbers, excluding the origin?
Sorry, I think my answer to your question is wrong.
Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.
Part A
Choose the inequality and solution to represent the number of cans, c, that Xander must still collect.
Answer:
Inequality: 64+C[tex]\geq 120\\\\[/tex]
- 64. -64
We subtract to isolate variable
Solution: [tex]C\geq 56[/tex]
help please i dont know this
Answer:
150 yd
Step-by-step explanation:
the angle bisector divides the opposite sides into segments that are proportional to the other 2 sides .
let x be the distance from the oak tree to the hole, then
[tex]\frac{225}{x}[/tex] = [tex]\frac{375}{250}[/tex] ( cross- multiply )
375x = 56250 ( divide both sides by 375 )
x = 150 yd
neeeed helppp asapp
Answer:
y=3x-1
Step-by-step explanation:
Which inequality describes the acceptable weights for the suitcase?
x≤ 32.5 or x ≤ 47.5
32.52x2 47.5
x≤ 32.5 or x ≥ 47.5
32.5 ≤ x ≤ 47.5
Based on the given options, the inequality for the acceptable weights of the suitcase is 32.5 ≤ x ≤ 47.5.
What is the acceptable weight for the suitcase?You didn't include the full question but this question can be answered based on the given options.
When inequalities are written, there is no inclusion of "or" which eliminates options A and C.
It is illogical to have an inequality as 32.5 ≥ x ≥ 47.5. This is because if 32.5 is larger or equal to x, then x cannot be larger than 47.5. This is mathematically impossible.
This leaves the likely answer as 32.5 ≤ x ≤ 47.5 which means that the weight of the suitcase has to be larger than or equal to 32.5 but less than or equal to 47.5.
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Answer:
32.5 ≤ x ≤ 47.5
Step-by-step explanation:
