BRAINLYEST AND 20 POINTS
For the given situation: Derek has $20 to spend on used books. Hardcover books cost $5 each and paperbacks cost $2 each. What equation in standard form determines the number x of hardcover books and the number y of paperback books he can buy? Select all the pairs that represent combinations of books that Derek can buy. Group of answer choices (2, 5) (0,10) (−2, 15) (3, 5/2) (1, 2/5)
Answer:
(0,10)
Step-by-step explanation:
All of the other answers dont make sense or are false so it makes (0,10) the only correct answer.
The equation represents the situation is 5x + 2y ≤ 20 so pair (2,5) and (0,10) is possible thus options (A) and (B) is correct.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
As per the given,
Hardcover books cost $5 each and paperbacks cost $2 each.
The number of hardcover books is x while paperbacks are y
Thus,
Total cost = 5x + 2y
5x + 2y ≤ 20
The x and y is the whole number so they will never be negative or in fractions.
Therefore, The pair which satisfies the above expression is (2,5) and (0,10).
Hence "The equation represents the situation is 5x + 2y ≤ 20 so pair (2,5) and (0,10) is possible".
For more about the equation,
https://brainly.com/question/10413253
#SPJ5
What is the difference between naming a segment and writing its distance?
Answer:
Explained below
Step-by-step explanation:
In naming a segment, we are essentially naming a line that has definite starting and endpoints. For example if the starting point of the segment is A and the endpoint is B, we can name it "segment AB".
In another example, a segment can be named with a single letter. For example the point from A to B can be referred to as "segment y" if AB is part of maybe a square.
Whereas, in writing a distance, we are essentially writing the measurement of length between the two endpoints. For example if the distance between AB is 20 metres, we can write distance between AB = 20 metres
which of the following options is the decimal equivalent of 2 7/9
2.8
1.5
1.6
2.7 (The seven has a line over it)
Answer: 2 . (7)
Step-by-step explanation:2 7/9 equals to 2.(7)
It is, a so called, 'repeating' decimal
`~hope i helped~
What is 3x+ x equal to?
Answer:
4x
Step-by-step explanation:
can someone help me out? what comes next?
Answer:
352
Step-by-step explanation:
The terms
a₁ = 44 , a₃ = 88, a₅ = 176 are doubling each time, thus
a₇ = 2 × 176 = 352 ← the next term
(-2x) 4
O A. – 16x4
O B. -8x4
O C. -2xt
O D. 84
O E. 16x4
Answer:
The answer should be -8x
Step-by-step explanation:
You would use distiputive property and multiple four by negitive two and you would end up getting -8x
After a dilation, a figure becomes similar or congruent
Answer:
The figure becomes congruent
What is the missing angle measure, in degrees, for figure 1, part a? What is the missing angle measure, in degrees, for figure 1, part c? What is the missing angle measure, in degrees, for figure 1, part d? What is the missing angle measure, in degrees, for figure 1, part f?
Answer:
a 82°
c 75°
d 150°
f 80°
Step-by-step explanation:
...add all of the given angles, and then subtract the total from 360.
All circles measure 360°.
56 equals 128 reduced by z
Write the sentence as an equation.
Answer:
56 = 128-z
Step-by-step explanation:
Answer:
128-z=58
z=70
Step-by-step explanation:
Please do this if your smart please dont guess this is an important anwser
Answer:
J''(- 3, 3 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x )
Thus J(1, 1 ) → J'(- 1, 1 )
Under a dilatation with scale factor 3, multiply each of the coordinates of J' by 3, that is
J'' = (3(- 1), 3(1)) = (- 3, 3 )
I am almost bankrupt asking the same question but....
1)If (a^2+1)/a=12,find the value of a^3 +(1)/a^3
2)If y-(1)/y=7 find the value for (y^6-1)/y^3
Answer:
If you understand how I solved a you can do B. Keep at it!
Step-by-step explanation:
At Knits sweater store, a sweater is on sale for 30% off. If the original price on the tag is $46.00, what is the sale price of the sweater?
Answer:
$32.20
Step-by-step explanation:
46 - 0.30 * 46
= $32.20
The diagram at the right shows a path through a garden.
The approximate length of the path, p, can be found with the formula
[tex]} p^{2}[/tex] =[tex]8^{2}[/tex] + [tex]10^{2}[/tex]
Which of the following measures is closest to the length
of the path?
A. 10 m
B. 12 m
C. 13 m
D. 18 m
Answer: B about 13 m
Step-by-step explanation:
Calculate 8² = 64 and 10² = 100 Add to get 16
Then get √164 = =12.80624847
Round up to 13.
Si el tamaño de una bacteria es 1,59 x 10-3 mm, ¿cuántos átomos de oxígeno caben a lo largo de ella? (Sabiendo que: el ancho de un átomo de oxígeno aprox. Es 4,804 x 10-9 cm).
An.
Step-by-step explanation:
NEED HELP IM BEGGING YOU PLEASE !!!!!
Answer:
1.5t+2=4 and 2/3
1.5t=2 and 2/3
t= 1 and 7/9
I need HELP asap the teacher wants it do today PLEASE HELP
Answer:
i think Point C
Step-by-step explanation:
Because Point A is you walking to the bus stop-
Point B is u waiting at the bus stop-
And point C is u on the bus
Sorry if it didn't help :/
PLZZ HELP!!! IT'S DUE TODAY! WILL GIVE BRAINLIEST AND 35 POINTS. PLS INCLUDE WORK!
QUESTION: Factor 91a + 28c.
Answer:
the answer is 7(13a+4c)
ind the GCF of 91 and 28 since a and c are separate variables. this is 7; since 91/7 is 13 and 28/7 is 4. we can take this out of the parentheses like this:
7(13a+4c)
Answer:
7(13a+4c)
Step-by-step explanation:
hi! let's find the GCF of 91 and 28 since a and c are separate variables. this is 7, since 91/7 is 13 and 28/7 is 4. we can take this out of the parentheses like this:
7(13a+4c)
this is basically like reverse distribution. if you distribute the 7 into the parentheses, you will get the original unfactored expression.
hope this helps!
Which equation transforms f(x)=x to a horizontal stretch by a factor of 2, a reflection over the x axis, and a shift down 4?
Answer:
the one you have selected
Step-by-step explanation:
you already have the correct answer
The expression that represents transformation is [tex]-f(\frac 12x)-4[/tex]
The equation of the function is given as:
[tex]f(x) = x[/tex]
The rule of horizontal stretch by a factor of 2 is represented as:
[tex](x,y) \to (\frac 12x,y)[/tex]
So, we have:
[tex]y = f(\frac 12x)[/tex]
The rule of reflection over the x-axis is represented as:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]y = -f(\frac 12x)[/tex]
The rule of a vertical shift down by 4 units is:
[tex](x,y) \to (x,y-4)[/tex]
So, we have:
[tex]y = -f(\frac 12x)-4[/tex]
Hence, the expression that represents transformation is [tex]-f(\frac 12x)-4[/tex]
Read more about function transformation at:
https://brainly.com/question/1548871
What is the product?
Enter your answer as a fraction, in simplified form, in the box.
−4/5x10/16
Answer:
-1/2
Step-by-step explanation:
someone plz help me on this , (-8)(7)
Answer:
-56
Step-by-step explanation:
Assuming this is negative 8 times 7 the answer is -56 because one negative times one positive is always a negative answer.
Answer:
-56
Have a nice day pls rate me and like.
: )
What is an
equation of the line that passes through the points (0, 2) and (5,8)?
Answer: y = 1.2x + 2
Step-by-step explanation:
slope = (8 - 2)/(5 - 0) = 6/5
y-intercept = (0, 2)
y = (6/5)x + 2
y = 1.2x + 2
help with a question please :)
The answer would be A. 7 Nickels
© MP.1 Make Sense and Persevere
The Environmental Club's goal is to collect
9,525 cans by the end of four months. How
can you find the number of cans the club
needs to collect in September to meet their
goal? How many more cans do they need?
Month
DATA
June
July
Augusthow many more cans did they need
Answer:
[tex]September = 2697[/tex]
Step-by-step explanation:
Given
[tex]June = 1,898[/tex]
[tex]July = 2,643[/tex]
[tex]August = 2,287[/tex]
[tex]Expected = 9,525[/tex]
Required
Number of cans in September
First, we need to determine the total collected can from July to August.
[tex]Total = 1898 + 2643 + 2287[/tex]
[tex]Total = 6828[/tex]
September is then calculated as follows:
[tex]September = 9525 - 6828[/tex]
[tex]September = 2697[/tex]
Hence:
2697 cans are still needed
Which of the following equations is equivalent to 2x+y = 7?
a
y = -2x +7
Ob
y = 2x +7
y=2x-7
y=-2x-7
Od
Answer:
a,y=‒2x+7
Step-by-step explanation:
2x+y=7
y=7‒2x or y=‒2x+7
i think it is easy to understand
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:yz
Step-by-step explanation:
4(2q - 3) = 8q - 12 | one solution, no solution, or many soulutons
Answer:
0
Step-by-step explanation:
8q-12=8q-12
0=0
what is the product of -3 1/4 and -1 1/2
Answer:
-4 and 3/4, also written as -4.75
Step-by-step explanation:
The next model of a sport car will cost 3.6% more than the current model. The current model cost $42,000. How much will the price in dollars? What will be the price of the next model
Answer:
$43,512
Step-by-step explanation:
3.6% = 0.036
0.036 * 42,000 = 1,512
42,000 + 1,512 = 43,512
Given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q bottles are produced each day and sold at a price of $p per unit. a)Express the weekly profit as a function of price.b) at what price must a bottle of wine be sold to realise maximum profit. c) what is the maximum profit that ca be made by the producer
Answer:
Step-by-step explanation:
From the given information:
a) To express the weekly profit as a function of price
Cost =C(q) = 1500 + 10q
Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²
Revenue = 50q - 0.1q²
Weekly profit = Revenue - Cost
P(q) = (50q -0.1q²) - (1500 + 10q)
P(q)= -0.1 q² + 40 q - 1500
However, q = 500 - 10 p using p = 50 − 0.1q
P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500
P= -10 p² + 600 p - 6500
b)
The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0
P' = 0
= -20p+600 = 0
20p = 600
p = 600/20
p = $30
c)
The maximum profit that can be made by the producer is:
P= -10(30)² + 600(30) - 6500
P = - 9000 + 18000 - 6500
P = $2500
36 - (- 4) + 5 + (- 10) =
Answer:-370
Step-by-step explanation:
Answer: 35
Step-by-step explanation: 36−(−4)+5−10 =40+5−10
45-10=35 :) hope this helps!