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
Learn more here:
https://brainly.com/question/17627037
There are 27 beads in a box. Lea 4 blue boxes, 9 yellow boxes 4 red boxes 2 silver boxes.
Lea bought about beads
Answer:
104 blue boxes
243 yellow boxes
108 red boxes
54 silver boxes
6-4x=7x-9x+2 whats the value
Answer:
x=2
Hope it's help
Brainliest plz
Answer:
x=2
Step-by-step explanation:
first collect the like term that is
6-2=7x-9x+4x
4=2x divide bothe sides by 2
X=2
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
Answer:
115°
Step-by-step explanation:
From E to B is 180°.
So when looking at angle ACB we get 65°
The angle ACE is equal to 180° - °65 = 115°
To show this is correct we have to add ACE and ACB and that should equal 180° which is true.
Answer:
115°
Step-by-step explanation:
normally straight lines are 180°
so angle ACF is already 90°
to find E, we need to subtract the 90°and the 65°
here it is: 180-(90+ 65)
= 25°
so finally ACE = 90° + 25°
= 115°
;)
The population of the United States was 308,745,538 in 2011. There
were 18,801,310 people in Florida and 9,883,640 people in Michigan.
Compute the probability that a randomly selected US resident in 2011
was living in Florida. Do the same for Michigan. Which is greater?
Step-by-step explanation:
Given:
Total population: 308745538People in Florida: 18801310People in Michigan: 9883640Probabilities:
P(F) = People in Florida / Total = 18801310/308745538*100% = 6.09% P(M) = People in Michigan /Total = 9883640/308745538*100% = 3.20%As we see from the probabilities, there is almost twice difference between Florida and Michigan residents.
If one ream of bond paper costs (3x -4) pesos. How many reams can you buy for ( 6x4 -17x3 +24x2- 34x + 24) pesos?
Answer:
1 ream = (3x - 4) pesos
Price of n reams = (6x^4-17x^3+24x^2 34x+24) pesos
Solution:(pic1)
number of reams 3x-4
By using synthetic division,
3x-4=0
3x=4
x=4/3
6 -17 24 -34 24 | 4/3
8-12 16-24
6 -9 12-18 0
Final equation is:(pic2)
Jingle Corporation produces toy footballs. Each football sells for $9. 95 with a variable unit cost of $7. 10. Assuming a fixed cost of $11,400 what is Jingle's breakeven point?.
Answer:
Jingle's breakeven point is achievable if 4000 units are sold.
Step-by-step explanation:
Solve the equation
x2 + 4x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.
Will make brainliest
See the steps below:
x² + 4x - 7 = 0x² + 4x + 4 - 4 - 7 = 0(x + 2)² - 11 = 0(x + 2)² = 11x + 2 = ± √11x = - 2 ± √11x = -2 ± 3.32x = 1.32, x = - 5.32solve for c 11=-1-c/2 and have a bless day
On his bike, Jason can travel 8 miles in 50 minutes.
At this rate, how far can Jason travel in 150 minutes.
Answer:
Jason can travel 24 miles in 150 minutes.
Step-by-step explanation:
8= miles. 50&150= mins
8=50.
Your trying to find how many miles Jason can travel in 150 mins. So your going to divide the new amount of minutes to the old amount.
150÷50= 3.
So since 50 can go into 150 3 full times that means you will multiply the original amount of miles by 3 to get your new amount.
3×8= 24
So, if Jason can travel 8 miles in 50 mins (8=50) Then, he can travel 24 miles in 150 mins (24=150)
Hope this wasn't too confusing,
Hope this helps!
The length of the base of an isosceles triangle is x. The length of a leg is 2x-6. The perimeter of the triangle is 38. Find X
Answer:
x = 10
Step-by-step explanation:
Perimeter of a triangle = the sum of the three sides.
In an isosceles the legs are equal (2x - 6) and the base is x
Perimeter = (x) + (2x - 6) + (2x - 6)
38 = 5x - 12
38 + 12 = 5x
50 = 5x
[tex]\frac{50}{5} = \frac{5x}{5}[/tex]
10 = x
Which algebraic expression is equivalent to the expression below?
7(2x + 8) - 2
A.
14x + 54
B.
14x + 56
C.
14x + 6
D.
14x + 42
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
let's evaluate ~
[tex]7(2x + 8) - 2[/tex][tex]14x + 56 - 2[/tex][tex]14x + 54[/tex]Therefore , the correct choice is ~ A
PLEASE HELP ASAP!!!!!!! I GIVE BRAINLIEST AND POINTS! PLZ NO LINKS I GRINDED FOR THESE POINTS
LOOK AT THE PIC BELOW
[tex]\\ \rm\leadsto a^2(a^4)^3\div a^{13}[/tex]
[tex]\\ \rm\leadsto a^2a^{12}\div a^{13}[/tex]
[tex]\\ \rm\leadsto a^{14}/a^{13}[/tex]
[tex]\\ \rm\leadsto a[/tex]
Answer:
[tex]a^2 \cdot \left(a^4\right)^3 \div a^{13}=a[/tex]
Step-by-step explanation:
Given expression:
[tex]a^2 \cdot \left(a^4\right)^3 \div a^{13}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies a^2 \cdot a^{(4 \cdot 3)} \div a^{13}[/tex]
[tex]\implies a^2 \cdot a^{12} \div a^{13}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]
[tex]\implies a^{(2+12)} \div a^{13}[/tex]
[tex]\implies a^{14} \div a^{13}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \div a^c=a^{b-c}:[/tex]
[tex]\implies a^{(14-13)}[/tex]
[tex]\implies a^1[/tex]
[tex]\textsf{Apply exponent rule} \quad a^1=a:[/tex]
[tex]\implies a[/tex]
Learn more about exponent rules here:
https://brainly.com/question/27859523
A-project-of-construction-of-a-building-can-be-completed-by-150-workers-in-40-days-But-project-manager-brought-30-more-workers-after-16-days-In-how-many-days-will-the-remaining-work-be-finished
Answer:
In the second scenario after 16 days, 150 workers would have completed 150*16=2400 worker days. That leaves 6000-2400=3600 worker days remaining. If you add 30 workers, it would take 3600/180=20 days longer to complete. So, the entire project would take 16+20=36 days to complete.
a
Russ worked a total of 135 hours during the month of July. He earned $3,600.
Russ earned $25 per hour each weekday that he worked. He earned $40 per hour
each Saturday that he worked. How many hours did he work on the weekend?
Answer:
3375
Step-by-step explanation:
Index and laws
evaluate
A) 55^0
B)100^1
Answer:
Step-by-step explanation:
Hey there!
so answer for (A is 1)
Answer for (B is 100)
Thank you have fun!
Answer:
Step-by-step explanation:
a) [tex]55^{0} = 1[/tex]
Anything raised to power 0 is 1
[tex]b) 100^{1} =100[/tex]
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
What is the slope-intercept form 10x-7y=-8
Answer:
Step-by-step explanation:
Slope intercept form: y = mx +b
10x - 7y = -8
-7y = - 10x - 8
Divide the equation by (-7)
[tex]\dfrac{-7y}{-7}=\dfrac{-10x}{-7} +\dfrac{-8}{-7}\\\\\\y =\dfrac{10}{7}x+\dfrac{8}{7}[/tex]
please help!!
Rebecca is playing her favorite video game starlight the space Explorer on the 1st level she earned 3 energy points and 8 stars on the 2nd level she earned 2 energy points and 5 stars did Rebecca earn the same ratio of energy points to stars of both levels
yes or no?
Answer:
Hey there! The answer's 'no' :)
Step-by-step explanation:
"On the first level, she earned 3 energy points and 8 stars."
The ratio of energy points to stars is 3:8 - we can't simplify this any more, so leave it at that.
"On the second level, she earned 2 energy points and 5 stars."
The ratio here is 2:5. We also can't simplify this.
By this, we can conclude that no, 3:8 and 2:5 aren't the same ratio!
HELP ASAP 10 POINTS WILL MARK BRAINIEST IF CORRECT
Answer:
Bryan
Step-by-step explanation:
Rate of Change
Answer:
Malory Makes more money than bryan
Step-by-step explanation:
please help!!! show an explanation too :-)
Answer:
x = 32
Step-by-step explanation:
3x -4 + 3x -8 = 6x -12
6x-12 = 180
in an equation, you do the same to both expressions
6x -12 +12 = 6x. 180+12 = 192
6x / 6 = x. 192 / 6 = 32
x = 32
fill in the blank to make the fractions equivalent. 1/2 ?/10
Answer:
5/10
Step-by-step explanation:
1/2 = 2/4 = 3/6 = 4/8 = 5/10
5/10
Answer:
5
Step-by-step explanation
multiply numerator and denominator with constant. 2*5 is 10, so 1*5=5, hence, 5/10
Those are the right answer
Answer:
100 yes there are trust me
one of the rows in the table has an error and does not have the same ratio as the other rows
is every parellelagram a rhombus?
Answer:
No
Step-by-step explanation:
Not every parallelogram is a rhombus, though any parallelogram with perpendicular diagonals is a rhombus
Trevor has a collection of 600 dinosaur trading cards. If he has 60 pages in an album, how many cards can Trevor put on each page?
1
4
10
4
Answer:
10
Step-by-step explanation:
600 divided by 60 is 10
if f(x) =3x-2 find f-1(x)
Answer:
1
Step-by-step explanation:
f(-1)= -3(-1) -2
f-1)=1
ANSWER FOR BRAINLIEST
Identify the graph for the point C(−2, −1, 2) in three-dimensional space.
Answer:
It's the third one,
Step-by-step explanation:
the only one with the dot in the negatives
Several world-class swimmers have attempted. to swim the English Channel between France and Great Britain (570 km long). Since even the best swimmers can swim only about eight kilometers per hour, about how many hours would expect it to take an expert swimmers to swim the channel?
Answer:
4hours
um...
57×10-== 4 hours
how to evaluate (-1/2)×(-4)
The answer is 2
first, we know that the answer will end up to be positive because the two negatives multiply together and cancel each other out to be a positive. Next, we know that 4 divided by 2 is 2, so the answer is 2.
Answer:
Answer:
X=10
Step-by-step explanation:
-1 + x2 = 4
Add 1 to each side
-1 +1+x/2 = 4+1
X/2 = 5
Multiply each side by 2
X/2 *2 = 5*2
x= 10
Rackel runs 3.2 miles each weekday and 1.5 each day of the weekend how many miles will she rin i 6 weeks
Answer:
114
Step-by-step explanation:
3.2 x 5 cause of the weekdays and 1.5 x 2 cause of the weekends. so then you have 16 and 3. Then you x's it soo 16x6 weeks and 3x6 weeks which equals 96 and 18 then you add thos together.