Answer:
3/8 = 0.375
Step-by-step explanation:
Favorite book = 12
Total books = 32
represent the number of her favorite books out of the total as a fraction.
= Favorite book / total book
= 12 / 32
= 6 / 16
= 3 / 8
Then convert it to a decimal,
3/8
= 3 ÷ 8
= 3/1 × 1/8
= 3 × 0.125
= 0.375
Note: 1/8 = 0.125
3/8 = 0.375
When the expression x^2 + bx - 24 is factored completely, the difference of the factors is 11. Find both factors if it is known that b is negative.
write the steps on the paper pleaseeee
i need it asap
Answer:
The two factors are (x + 3) and (x - 8)
Step-by-step explanation:
The given function is x² + b·x - 24
The difference between the factors = 11
The sign of coefficient b = Negative
Therefore, we have;
The factors as (x - c) and (x + d)
-b = d - c...(1)
d × (-c) = -24...(2)
(x + d) - (x - c) = 11
Which gives;
x + d - x + c = 11
∴ d + c = 11...(3)
From equation (3), we have;
d = -24(-c) = 24/c
d = 24/c
Substituting the value of d in equation (3) gives;
d + c = 24/c + c = 11
24/c + c = 11
∴ c² + 24 = 11·c
c² + 24 - 11·c = 0
c² - 11·c + 24 = 0
(c - 8)·(c - 3) = 0
c = 8 or 3
From d + c = 11, we have, d = 3 or 8
Given that -b = d - c, therefore c > d and c = 8, d = 3
Therefore, the two factors are (x - 8) and (x + 3).
A 21 21-inch candle burns down in 12 hours. At what rate does the candle burn, in inches per hour?
Answer:
1.75 inches per hour
Step-by-step explanation:
21/12=1.75
Find the percent change:
1) 40 to 25
2) 120 to 140
Answer:
1) 62.5%
2) 85.714285714286%
Step-by-step explanation:
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I WILL GIVE BRAINIEST IF CORRECT
Tucker measured the auditorium and made a scale drawing. The scale he used was 1 inch : 3 feet. The stage is 57 feet long in real life. How long is the stage in the drawing?
Answer:
19 inch
Step-by-step explanation:
57÷3=19
19 inches as the ratio is 1:3
A girl's club held a fundraiser last year and raised $600 for the local soup kitchen. This year they raised $960. What is the percent change in the total amount raised by the girl's club? The percent change is 0.38%. The percent change is 0.6%. The percent change is 38%. The percent change is 60%.
Answer:
The percent change is 60%.
Step-by-step explanation:
given that the old amount is
$600
also the new amount is $960
the change is 960-600= $360
therefore the expression for percent change is given as
%change= new-old/old
%change= final-initial/initial
%change= 960-360/360
%change= 360/600
%change= 0.6
0.6*100
=60%
The percent change is 60%.
Answer:
D
Step-by-step explanation:
Pleaseeeee helpppppp!!!!!
Answer: A, D, and E
Step-by-step explanation: you can solve them just by adding with no additional steps
(0,-4) , (8,4) writing equations in slope intercept form write an equation of each line that passes through the given points answers please
Answer:
y = x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (8, 4)
m = [tex]\frac{4+4}{8-0}[/tex] = [tex]\frac{8}{8}[/tex] = 1
The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4
y = x - 4 ← equation of line
SOMEONE PLZ HELP WILL GIVE BRAINLIEST
Answer:
Pre-Algebra, Algebra I, Algebra II, Geometry: homework help by free math tutors, solvers, lessons.Each section has solvers (calculators), lessons, and a place where you can submit your problem to our free math tutors. To ask a question, go to a section to the right and select "Ask Free Tutors".Most sections have archives with hundreds of problems solved by the tutors.
Step-by-step explanation:
Lsat month, harri drove 850 miles in his car. his car's fuel consumption is 45.6 miles per gallon. petrol cost £1.09 per litre. given that 8pints = 1gallon, work out how much Harri spent on fuel last month. You must show working out.
Answer:
£76.904
Step-by-step explanation:
Lsat month, harri drove 850 miles in his car. his car's fuel consumption is 45.6 miles per gallon. petrol cost £1.09 per litre. given that 8pints = 1gallon, work out how much Harri spent on fuel last month. You must show working out.
a) 45.6 miles per gallon
45.6 miles = 1 gallon
850 miles = x
Cross Multiply
x = 850/45.6
x = 18.640350877 gallons
b) 8pints = 1gallon,
8 pints = 3.785 litres
1 gallon = 3.785 litree
18.640350877 gallons = y
Cross Multiply
18.640350877 litres × 3.785
= 70.5537280694 gallons
c) 1 litres = £1.09
70.5537280694 litres = z
Cross Multiply
z = 70.5537280694 × £ 1.09
z = £76.9035635957
Approximately = £76.904
Answer:
Step-by-step explanation:
Lsat month, harri drove 850 miles in his car. his car's fuel consumption is 45.6 miles per gallon. petrol cost £1.09 per litre. given that 8pints = 1gallon, work out how much Harri spent on fuel last month. You must show working out.
a) 45.6 miles per gallon
45.6 miles = 1 gallon
850 miles = x
Cross Multiply
x = 850/45.6
x = 18.640350877 gallons
b) 8pints = 1gallon,
8 pints = 3.785 litres
1 gallon = 3.785 litree
18.640350877 gallons = y
Cross Multiply
18.640350877 litres × 3.785
= 70.5537280694 gallons
c) 1 litres = £1.09
70.5537280694 litres = z
Cross Multiply
z = 70.5537280694 × £ 1.09
z = £76.9035635957
Approximately = £76.904
If you get this please help me
Dude I am so sorry but I'm just as confused as you are-
Answer:
36 in.
Step-by-step explanation:
the perimeter of the square is 4s and the perimeter of the triangle is 3(s+3).
since the perimeters are the same you can set them equal to each other and solve.
you should get s=9
substitute 9 into the square perimeter equation to get 36 in.
What is the difference between
-30.7 and -8.5?
Answer:
-22.2
Step-by-step explanation:
-22.2
well, the system told me that i need a 20 words explanqtion so i'. just typing this down to put in more words but how i solved it, is i used a calculator
( 100 points and brainliest) Pls helpppp
Answer:
the answer is 10
Step-by-step explanation:
Question 2
Find the slope of a line that passes through the given points.
(-8, -11) and (17, 4)
Answer:
slope = 0.6
Step-by-step explanation:
how do you get that answer
Match each polynomial to its factored form.
x^2+8x +16
x^3-64
x^2-16
(x-4)(x^2+4x+16)
(x+4)^2
(x-4)(x+4)
Answer:
x^2+8x +16 >> (x+4)^2
x^3-64 >> (x-4)(x^2+4x+16)
x^2-16 >> (x-4)(x+4)
Step-by-step explanation:
Each polynomial is matched to its factored form. These are the correct answers. I did this on EDGE!
Polynomial is an expression that consists of indeterminates(variable) and coefficients.
What are polynomials?
Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
To know which polynomial to match, solve the factors.
A.) (x-4)(x²+4x+16)
[tex](x-4)(x^2+4x+16)\\\\=x(x^2+4x+16)-4(x^2+4x+16)\\\\= x^3 + 4x^2 + 16x - 4x^2-16x-64\\\\=x^3 -64[/tex]
Hence, (x-4)(x²+4x+16) will match x³-64.
B.) (x+4)²
[tex](x+4)^2\\\\= x^2+8x+16\\[/tex]
Hence, (x+4)² will match x²+8x+16.
C.) (x-4)(x+4)
[tex](x-4)(x+4)\\\\ = x^2-16[/tex]
Hence, (x-4)(x+4) will match x²-16.
Learn more about Polynomial:
https://brainly.com/question/17822016
#SPJ2
Please help, Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?
Select each correct answer.
(−1, −6)
(−3, 3)
(7, 0)
(11, 3)
HELP ME PLEASE!!!!! ITS EASY 10 POINTS
Answer:
x=3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
I did this on a quiz and I got it right :)
Star Burger buys 10-pounds of meat for $27.50. How many pounds can be bought for $55.00?
Answer:
20-pounds
Step-by-step explanation:
If you multiply $27.50 by 2 then you get $55.00
($27.50*2=$55.00)
Answer:
2 pounds of meat
Step-by-step explanation: if you do 27.50 times 2 you get 55
In the multiplication table below, patterns of equivalent ratios can be found in
rows only
columns only
both rows and columns
neither does nor columns
Answer: the third option
Step-by-step explanation:
i need help pls
pls explain it if you can :)
Answer:
yea see when i learned this we had to subtract the input to the out put and then divide all the answers to get 1 single out come
Step-by-step explanation:
Please help me!!!!!!!!
Answer:
WITH WHAT? IM WILLING TO HELP
Step-by-step explanation:
$2.98 for 15.5 ounces of oreos
Answer:
$46.19
Step-by-step explanation:
What is the unit rate if the rate is 30 laps for 10 minutes
Answer:
1 lap per minute
Step-by-step explanation:
What is the distance between -13 and -4 on a number line?
What's the equation of (-4,-6) and (-2,-7)
Answer:
y=-1/2x-8
Step-by-step explanation:
Use the formula y2-y1/x2-x1
-7 - (-6)= -1
-2 - (-4) = 2
-1/2 is the slope
Plug it in
-6=-4(-1/2)+b
-6=2+b
b=-8
Find the perimeter of a rectangle with Area = x^2 + 8x + 12
Answer:
(x+6)*(x+2)
step-by-step explanation:
2312.2+3.4 what is the value expression
Answer: 11578 /5 =2315.60000
Explaination: STEP 1: Simplify: 17/5
Equation at the end of step 1: 23122/10 + 17/5
STEP 2 : Simplify 11561/5
STEP 3: Adding fractions which have a common denominator. Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
11561+ 17/5= 11578/5
Final Answer: 11578/5 Brainliest pls
Answer:
2315.6 (Fraction= 2315 3/5)
Step-by-step explanation:
2312.2 (2312 1/5) + 3.4 (3 2/5) = 2315.6 (2315 3/5)
A man has two more nickels than dimes, and has $1.15 in total. How many coins of each kind does he have?
Answer:
9 nickels and 7 dimes
Step-by-step explanation:
Found the answer off some other dude
can someone solve this problem
9514 1404 393
Answer:
discriminant: -232 complex solutionsStep-by-step explanation:
Compare the equations ...
ax² +bx +c = 0
x² -x +6 = 0
and you can see that the values of a, b, c are ...
a = 1, b = -1, c = 6
Putting these values into the expression for the discriminant, ...
d = b² -4ac
we have ...
d = (-1)² -4(1)(6) = 1 -24 = -23
The discriminant is -23.
__
The interpretation of the discriminant is ...
negative -- 2 complex solutions
zero -- one real solution
positive -- 2 real solutions
Here, the discriminant is negative, so ...
The equation has 2 complex solutions.
Andrea needs to purchase 2.8 pounds of bananas that cost $0.60 per
pound and 3 pounds of apples that cost $0.77 per pound. If she gives
the cashier $10.00, how much change will she receive?
A $2.31
B. $3.99
c. $6.01
D. $7.99