The relationships between the amount spent on books and the cost of
each book is a proportional relationship.
The correct responses are;
[tex](a) \ \displaystyle \mathrm{The \ number \ of \ books \ Gaya \ buys \ is } \ \underline{\frac{48}{x} \ books}[/tex][tex]\mathrm{(b) \displaystyle \underline{ \left(\frac{48}{x} -4 \right) \cdot \left(x + 2 \right) - 60 = x^2 - 5 \cdot x - 24 = 0}}[/tex]Reasons:
The amount Gaya spends on books = $48
The cost of each book = $ x
(a) The expression in terms of x for the number of books Gaya buys is therefore;
Number of books Gaya buys × $ x = $48
Therefore;
[tex]\displaystyle Number \ of \ books \ Gaya \ buys = \frac{\$48}{\$ x}[/tex](b) The amount Myra spends to buy books = $60
The cost of each book = $·(x + 2)
The number of books Myra buys = The number of books Gaya buys - 4
We have;
[tex]\displaystyle Number \ of \ books \ Myra \ buys = \frac{48}{x} - 4[/tex]
Which gives;
[tex]\displaystyle \mathbf{\left(\frac{48}{x} - 4 \right) \cdot \left(x + 2 \right)} = 60[/tex]
Using a graphing calculator, we get;
[tex]\displaystyle \frac{4 \cdot x^2 - 20 \cdot x - 96}{x} = 60[/tex]
4·x² - 20·x - 96 = 60·x
Which gives;
4·x² + 40·x - 60·x - 96 = 0
4·x² - 20·x - 96 = 0
x² - 5·x - 24 = 0
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4 divided by 2.48
Use long division
Answer:
Step-by-step explanation:
The quotient is 0.62 and the remainder is 0.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Given that, 2.48 divided by 4.
Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence.
Here,
4|2.48|0.62
24
24
_____
08
08
_____
0
So, quotient is 0.62 and remainder is 0.
Therefore, the quotient is 0.62 and the remainder is 0.
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What is the value for y?
Enter your answer in the box.
y=
Answer:
28
Step-by-step explanation:
Answer:
y = 28Step-by-step explanation:
the sum of the internal angles of a triangle is 180 °, from the equal sides it is understood that it is isosceles, therefore it has 2 sides and two equal angles (angle A and angle B) so both A and B are 34 °, x - 5 = 34 °
we find the value of 4y
180 - 34 - 34 = 112
now we find the value of y
4y = 112°
y = 112 : 4
y = 28
A line passes through (0, 2) and has a slope of 1/3.
What is the equation of the line in slope-intercept form?
A) y=1/3x+2
B) y=1/3x−2
C) y=−1/3x+2
Answer:
A)
y=1/3x +2
Step-by-step explanation:
equation of line is y=mx+c
so here the points are (0,2) and the gradient,m is 1/3
the y-intercept, c is 2
as when substituting the result is 2 for the y-intercept
substituting:y=mx+c (0,2)
2=1/3 (0) +c
c= 2
The equation of the line is y=1/3x +2 if a line passes through (0, 2) and has a slope of 1/3 option (A) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope-intercept form of the line is:
y=mx+c
The points are (0,2) and the gradient,m is 1/3
c= 2
y = x/2 + 2
Thus, the equation of the line is y=1/3x +2 if a line passes through (0, 2) and has a slope of 1/3 option (A) is correct.
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Stossel is listening to an audiobook that at normal speed will last 10 hours. Stossel decides listen the audiobook at 2.5 faster. How long will the book be?
Answer:
4 hoursStep-by-step explanation:
Speed and time are inverse functions.
At normal speed the time is 10 hours.
If the speed is 2.5 times faster, then time is 2.5 times less:
10 hours / 2.5 = 4 hoursSpeed is 2.5
Distance is 10
Time
10/2.510/(25/10)100/254hrsPLEASE HELP FAST; What is (7 · 5 · 2 / 7 · 3)^2 x (5^0 / 2^-3)^3 x 2^-9?
-10/9
20/3
-100/9
-700/3
Answer:
I think it's 900
Step-by-step explanation:
Pls help me
Question 8 (5 points)
(03.05 LC)
What is the volume of a cylinder (in cubic inches) with a radius of 6 inches and a height of 3 inches?
Use 3.14 for n. Round your answer to the nearest hundredth. (5 points)
a
339.12 cubic inches
b
56.52 cubic inches
с
100.48 cubic inches
d
113.04 cubic inches
Question 9 (5 points)
Express (5a3n)3 with positive exponents.
Answer:
45an
Step-by-step explanation:
1st. (5a × 3n) × 3
2nd. Multiply the monomials
3rd. after doing that you get 45an
What is the equation of the line in slope intercept form
Answer:
lope-intercept form, y=mx+b, of linear equations
Step-by-step explanation:
what is y= (5x+7) (2x+3) in standard form and identify values of a,b,c
Answer:
y = (5x+7)(2x+3)
= 10x^2 +14x+15x+21
= 10x^2 +29x+21
a= 10 b=29 c=21
A boat is carrying containers that weigh 2000 pounds each.
Use this information to fill in the table. Then plot the ordered pairs given by the table.
2 Weight?
4. Weight?
9. Weight?
Answer:
Write seven and twelve hundredths in standard form.
Step-by-step explanat
find the value of x.
Answer:
x = 11
Step-by-step explanation:
Chords equidistant from the centre , which is the case here are congruent, so
x = 11
If Elena’s ice cream cost $1.50 more than Jada’s ice cream, how much more did Elena’s toppings weigh?
Answer: 3
Step-by-step explanation: toppings are 50 cents so 50 * 3 = $1.50
What is the equation of this line in slope intercept form? -x- 5y = 10
A) y= -1/5x-2
B) y= -1/5x + 10
C) y= 1/5x + 10
D) y= 5x - 2
NO FILES NO LINKS PLEASE
Answer:
D 22ilsjjssiksksksksksksks
Step-by-step explanation:
212
3 2/7 divided by 1 1/4
Answer:
92/35
Step-by-step explanation:
⇒ 3 2/7 ÷ 1 1/4
⇒ (3*7 + 2) / 7 ÷ (1*4 + 1) / 4
⇒ 23/7 ÷ 5/4
⇒ 23 * 4 / 7 * 5
⇒ 92/35
The solution of the expression is 2 22/35.
What is Division method?
Division method is used to distributing a group of things into equal parts.
Given that;
The expression is,
3 2/7 divided by 1 1/4
Now, Solve the expression as;
3 2/7 ÷ 1 1/4
23/7 ÷ 5/4
23/7 x 4/5
92/35
2 22/35
Hence, The solution of the expression is 2 22/35.
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4.08 + 8.7 what is the answer
Answer:
12.78
Step-by-step explanation:
because i said so
The answer please it’s from khan academy
Answer:
Step-by-step explanation:
Before removing brackets, multiply everything inside them by two.
2*1/5 m - 2 * 2/5 + 3/5
2/5 m - 4/5 + 3/5
2/5 m - 1/5
That's as much as you can do. No further reduction is possible.
Answer:
[tex]\frac{2m-1}{5}[/tex]
Step-by-step explanation:
[tex]2(\frac{1}{5} m-\frac{2}{5} )+\frac{3}{5}[/tex]
First, simplify [tex]\frac{1}{5} m[/tex] to [tex]\frac{m}{5}[/tex]:
[tex]2(\frac{m}{5} -\frac{2}{5} )+\frac{3}{5}[/tex]
Merge the denominators:
[tex]2(\frac{m-2}{5} )+\frac{3}{5}[/tex]
Simplify:
[tex]\frac{2m-4}{5} +\frac{3}{5}[/tex]
Merge the denominators again:
[tex]\frac{2m-4+3}{5}[/tex]
Simplify one final time:
[tex]\frac{2m-1}{5}[/tex]
Please mark brainliest if this helps you, and I can provide more information if needed.
1. Write the following statements in the from of equations.
a. The sum of five times p and 8 is 23
Answer:
The answer is ( 5×p) + 8 = 23
Here's your required answer!
a) Five times p = 5p
5p + 8 = 23________________________________
A RECTANGLE HAS SIDES OF "20 - x" AND "x - 5", IF THE RECTANGLES AREA IS 36 SQ. INCHES. FIND THE LARGEST SIDE.
Answer:
12 in.
Step-by-step explanation:
1. area can be calculated as A=s1*s2, where s1 and s2 are the largest and shortest sides.
2. according to the formula before A=(20-x)(x-5). But according to the condition A=36, then (20-x)(x-5)=36;
3. if to solve this quadratic equation, then
-x²+25x-136=0;
[tex]\left[\begin{array}{ccc}x=17\\x=8\end{array}[/tex]
4. if x=3;12, then the sides are 12 and 3 and
5. finally, the largest side s1=12 inches.
One week, London earned $313.50 at her job when she worked for 15 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $647.90?
Answer:
31 hours
Step-by-step explanation:
First you take 313.50 divide that by 15 get 20.9 per hour
Then you take 647.90 and divide that by 20.9
So then you're left with 31 as your answer.
Will give BRAINLIEST if right!
Which shows a dilation of y = x?
A.
y = x + 5
B.
y = x - 5
C.
y = -x
D.
y = 5x
pls help me with this
Answer:
6mm
Step-by-step explanation:
PLEASE HELP!!! THE QUESTION IS DOWN BELOW
Answer:
Second box, fourth box, first box, and third box
Step-by-step explanation:
1st answer box because (13 - 3 / 2 * r) - (1 - r) = 13 - 3 / 2 * r - 1 + 2 / 2 * r thus being the first answer because of the "-" in the front so distribute the "-" with the 1 and - r
2nd answer box because (7r - 3 / 2) - (2 / 3 + 6r) = 7r - (9 / 6) - (4 / 6) - 6r same principle here.
3rd answer box because (6r + 7) + (13 + 7r) = 6r + 7 + 20 + 7r
4rd answer box because (- 8 - r) + (2r - 4) = - 8 - r + 2r - 4
Answer:
1. (6r+7)+(13+7r)=13r+20
2. (13 3/2)-(1-r)= 12-r
3. (-8-r)+(2r-4)= -12+r
4. (7r-3/2)-(2/3*6r)=r-13/6
Step-by-step explanation:
1. Move 7r next to 6r then you get 13r then just add 7+13 and you get 20 answer is 13r+20
2. Subtract 1 from 13 and you get 12 then you do the 3/2r and and the other r to it and you get 1/2r answer should be 12- 1/2r
3. Move then 4 next to the -8 and subtract you should get -12 then you solve -r+2r should get r and the answer is -12+r
4. Subtract 7r from 6r and you get r(1r) then you should subtract 3/2 and 2/3 and you get 13/6 and the answer is r-13/6
Explain why 15 +1/2n
is an algebraic
expression.
Answer:
Because there is a variable and no equal sign
Step-by-step explanation:
What is the value of p?
p + 2 - 4= 14
Drag and drop the correct answer in the box.
Answer:
p = 16
Step-by-step explanation:
(p + 2) - 4 = 14
We can just drop the parentheses:_
p + 2 - 4 = 14
p - 2 = 14
Add 2 to both sides:-
p - 2 + 2 = 14 + 2
p = 16
What is the equation for this? please help!!
Answer:
the equation is y=x^2+8
On average, Gavin drinks of a 6-ounce glass of water in 11 hours. How much water
does he drink, in glasses per hour? Enter your answer as a whole number, proper
fraction, or mixed number in simplest form.
what is on your nose in your pic
What are the terms in the expression 4 + 9V +6w?
Answer:
4, 9v, and 6w
Step-by-step explanation:
I'm pretty sure it's right
Determine what type of function is represented in the table at the
left.
A.)Linear
B.)Quadratic
C.)Exponential
D.)Absolute value
An unopened cereal box contains 15/28 cubic foot of cereal. If the box is full, and the length and height of the box are 5/7 foot and 1 1/2 feet, respectively, what is the width of the box?
Answer: the answer is 1/2
Step-by-step explanation:
Help algebra 2 please
Answer:
it should be C I guess.
Im sorry if it is wrong