Answer:
They got 14 books at $22 and 21 books at $34.
Step-by-step explanation:
From the information given, you can write the following expressions:
x+y=35 (1)
22x+34y=1022 (2), where:
x is the number of books that cost $22
y is the number of books that cost $34
First, you can solve for x in (1):
x=35-y (3)
Then, you can replace (3) in (2) and solve for y:
22(35-y)+34y=1022
770-22y+34y=1022
12y=1022-770
12y=252
y=252/12
y=21
Finally, you can replace the value of y in (3) to find x:
x=35-y
x=35-21
x=14
According to this, the answer is that they got 14 books at $22 and 21 books at $34.
Figure 1 and 2 are similar. Based on what you know about side AC’ what would the length of AB be?
Answer:
12 because that's the only logical answer.
Which of the following is most likely the next step in the series
Answer:
D
Step-by-step explanation:
6 sides then 5 then 4 then there should be 3
markme brainliest
The ratio of three numbers is 4:5:3. The sum of the numbers is 72. What is the smallest value in the ratio of 3 numbers? What is the largest number?
i need help (,:
Answer:
Smallest number is 18. Largest number is 30.
Step-by-step explanation:
a:b:c = 4:5:3
∃x such that a = 4x, b = 5x, c = 3x
"sum of the numbers is 72"
a+b+c = 4x+5x+3x = 72
x = 6
a = 4x = 24
b = 5x = 30
c = 3x = 18
POLS HELP ME NOWWWW I DONT UNDERSTAND IT
Answer:
B
Step-by-step explanation:
using the equation 'y = 12x', if you plug in zero for 'x' you get zero for 'y'; the only graph that has the point (0, 0) is (b)
also, the x-axis represents time so, as time increases, so does the number of calories burned (which is measured on the y-axis) -- not staying flat or decreasing
The length of a rectangle is four more than its width. If the area of the rectangle is 12, find the length of the rectangle.
Answer:
I don’t know but I have the same question with different numbers
Step-by-step explanation:
Plz help
Simplify 6(3x-5)+5(2x-1)
Simplify (2^3)^-2
-1/64
1/64
2
64
Answer:
1/64
Step-by-step explanation:
Answer:
B edge 2022
Step-by-step explanation:
1. Sand falling from a chute forms a conical pile whose altitude is always equal to 4/3 the radius of the base. (a) How fast is the volume increasing when the radius of the base is 3 ft and is increasing at a rate of 3 in/min
Answer:
The volume is increasing at a rate of 16286 in³/min.
Step-by-step explanation:
a) The volume of a cone is given by:
[tex] V = \frac{1}{3}h\pi r^{2} [/tex]
Where:
r: is the radius
h: is the height
The rate of change of the volume can be calculated by using the chain rule:
[tex] \frac{dV}{dt} = \frac{\pi}{3}[\frac{dh}{dt}r^{2} + h\frac{d(r^{2})}{dt}] [/tex]
Since h = 4/3 r we have:
[tex] \frac{dV}{dt} = \frac{\pi}{3}[\frac{d(\frac{4r}{3})}{dt}r^{2} + \frac{4r}{3}\frac{d(r^{2})}{dt}] [/tex]
[tex] \frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + r\frac{d(r^{2})}{dt}] [/tex]
[tex] \frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + 2r^{2}\frac{dr}{dt}] [/tex] (1)
With:
[tex]\frac{dr}{dt}[/tex] = 3 in/min
[tex]r = 3 ft*\frac{12 in}{1 ft} = 36 in[/tex]
And by entering the above values into equation (1) we have:
[tex] \frac{dV}{dt} = \frac{4\pi}{9}[(3 in/min)*(36 in)^{2} + 2*(36 in)^{2}*3 in/min] [/tex]
[tex]\frac{dV}{dt} = 16286 in^{3}/min[/tex]
Therefore, the volume is increasing at a rate of 16286 in³/min.
I hope it helps you!
What is 9.25% tax of $27.26?
Answer:
$29.78
Step-by-step explanation:
1. make the % into a decimal
9.25% = 0.0925
2. multiply amount by the decimal to get the tax amount
$27.26 × 0.095 = $2.52
3. take the original amount and add the tax to get your final total
$26.27 + $2.52 = $29.78
which fraction is equivalent to 70/100
Answer:
710
Step-by-step explanation:
is lebron james black
Answer:
yes he is a african american
Step-by-step explanation:
I need help if you help I’ll give you extra points!!!!!!!
Answer:
a=66m b=4.58cm
Step-by-step explanation:
a=5610 divided by 85=66 so 66m ×85 m =5610 meters squared
b=330cm ÷ 72 cm is 4.58. So 72×4.58=329.76 so rounded =330
Given m ||n, find the value of x.
+
(2x-16)
(4X+4)
Answer: 6x - 12
Step-by-step explanation:
(2x - 16) + (4x + 4)
2x + 4x = 6x
-16 + 4 = -12
Simplify 11 - [ 4 + 2 • 3 ]
Answer:
Step-by-step explanation:
remember PEMDAS
11-(4+6)=11-10=1
A right triangle has side lengths of 3cm, 4cm, and 5cm. What is the sine of the angle opposite the side of length 4cm
In a right triangle, the sine of the angle opposite the side of length 4 cm is 0.8 cm.
In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.
The angle opposite the side of length 4 cm can be calculated as:
The hypotenuse is the side of length 5 cm.
The calculation of the sine of the angle can be calculated using the formula:
[tex]Sine = \dfrac{Opposite}{hypotenuse}[/tex]
Substitute the value in the given formula.
[tex]Sine(A) = \dfrac{4}{5}[/tex]
Sine(A) = 0.8
So, the sine of the angle opposite the side of length 4 cm is 0.8 cm.
Learn more about hypotenuse here:
https://brainly.com/question/29407794
#SPJ12
Solve the equation using the Distributive Property:
3(x+8) =
3x + 24 =
3x =
9x =
Answer: 3x=-24
9x is 3(3x)= 3(-24)
9x=-72
X=-8
Step-by-step explanation:
pls help! :( if you get it right I’ll give brainliest!!
Answer:
2.3 A
Step-by-step explanation:
Its 2.3 what am I supposed to say
Which letter has line symmetry?
Q
P
L
J
M?
Answer:
M
Step-by-step explanation:
because it is equal on either side if you cut a line down the middle of the letter
85 percent of what is 64.6?
Answer:
54.91 i think!!
Step-by-step explanation:
1.4(4.4x2.3) how do I distribute this
Answer:
14.168
Step-by-step explanation:
4.4 times 2.3= 10.12
1.4(10.12) = 14.168
what is the value of the ecpression ( 81 1/4 ) 4
Answer:
324 1/4
Step-by-step explanation:
Answer:
43580627 _(ﾟ◇ﾟ；)ノﾞ
Step-by-step explanation:
1.1 81 = 34
(81)1 = (34)1 = 3
34
Simplify ——
4
The ratio of number of boys to girls in a classroom is 6 to 5. If there are a total
of 48 boys, find the number of girls in the classroom.
Answer:
40 girls
Step-by-step explanation:
To get the number of girl students, we first do 48 divided by 6 to get 8. Then we do 8 x 5 to get 40.
If -xy – 5+ y^2+ x^2= 0 and it is known that dy/dx= y-2x/-x+2y, find all
coordinate points on the curve where x = -1 and the line tangent to the
curve is horizontal, or state that no such points exist.
Answer:
There is no point of the form (-1, y) on the curve where the tangent is horizontal
Step-by-step explanation:
Notice that when x = - 1. then dy/dx becomes:
dy/dx= (y+2) / (2y+1)
therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:
0 = ( y + 2) / (2 y + 1)
And we obtain y = -2 as the answer.
But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:
(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2 (instead of zero)
Then, we conclude that there is no horizontal tangent to the curve for x = -1.
help plz answer the question plzzz
im dum but please help me
Answer:
336
Step-by-step explanation:
area = 1/2 * (a + b) * h
A band expects to put 12 songs on their next CD. The band writes and records 25% more songs than they expect to put on the CD. During the editing process, 80% of the songs are removed. How many songs will there be on the final CD?
Answer:
3 songs
Step-by-step explanation:
25% more songs: 12 x 1.25 = 15
80% removed: 15 x 0.2 = 3
Based on this triangle, which one of the following statements is true? (Note: the triangle is not drawn to scale)
[PLEASE LEAVE A SMALL EXPLANATION ILL MARK BRAINLIEST]
Answer:
A
Step-by-step explanation:
All triangles angles add up to 180°
Suppose that $6500 is placed in an account that pays 17% interest compounded each year. Assume that no withdrawals are made from the account.
Answer: $7,605
Step-by-step explanation:
At the end of 1 years, the amount in the account will be:
= Principal * (1 + rate)^ no. of periods
= 6,500 * (1 + 17%)
= $7,605
PLEASE PLEASE HELP!!!
Answer:
x = 8
Step-by-step explanation:
small triangle is similar to larger one
set up a proportion: 9 = x + 4
9+12 x+4+2x
9 = x+ 4 cross-multiply: 9(3x + 4) = 21(x + 4)
21 3x + 4 27x + 36 = 21x + 84
6x + 36 = 84
6x = 48
x = 8
50 POINTS
explain the meaning of the following points
(1,2)
(9,18)
Answer:
(1,2) 1 represents how many days and 2 represents how many mm tall
(9.18) 9 represents how many days and 18 represents how many mm tall
Step-by-step explanation:
Answer:
(1,2) in one day, the plant was 2 mm tall.
(9,18) in nine days, the plant was 18 mm tall.
Step-by-step explanation:
(1,2) in one day, the plant was 2 mm tall.
(9,18) in nine days, the plant was 18 mm tall.
If this helps please mark as brainliest