Answer:
Discount = $30, Final price = $90
Step-by-step explanation:
25% is one quarter. 120/4=30
One quarter of 120 is 30, so - 30 would give discounted price of $90.
Similarly you could think of it like the discounted price is 75% of the original one and do 120x0.75=90 to find 75% of 120.
Hope this helped!
evaluate the following absolute value expression |-6 |
Answer:
6
Step-by-step explanation:
|-6| = 6
Answer:
6
Step-by-step explanation:
you can also understand absolute value as the distance in the number line from -6 to 0
and that's 0-(-6)
=6
so
|-6|=6
Li uses 8.4 grams of sugar every day in her tea. Sue uses 12.6 grams of sugar every day in her coffee. If Li’s sugar canister contains 128 grams of sugar and Sue’s canister contains 191 grams, in how many days will Li and Sue have the same amount of sugar in their canisters?
Answer:
15 days
Step-by-step explanation:
a) Li uses = 8.4 grams of sugar every day in her tea.
Li’s sugar canister contains = 128 grams of sugar
Let x be the number of days at which Li uses sugar in her tea
The Equation for Li's sugar usuage =
y = 128 - 8.4x ......... Equation 1
Where y , the quantity of sugar left.
b) Sue uses = 12.6 grams of sugar every day in her coffee.
Sue’s canister contains = 191 grams
Let x be the number of days at which Sue uses sugar in her tea
The Equation for Sue's sugar usuage =
y = 191 - 12.6x .........Equation 2
Where y , the quantity of sugar left.
We are asked in the question, how many days will Li and Sue have the same amount of sugar in their canisters
We would equate both equations to each other.
Equation 1 = Equation 2
y = 128 - 8.4x = y = 191 - 12.6x
128 - 8.4x = 191 - 12.6x
-8.4x + 12.6x = 191 - 128
4.2x = 63
x = 63/4.2
x = 15
15 days
Therefore Li and Sue have the same amount of sugar in their canisters after 15 days.
To confirm
Equation 1 = Equation 2
y = 128 - 8.4x = y = 196 - 12.6 × 15
y = 128 - 8.4 × 15 = y = 196 - 12.6 × 15
y = 128 - 126 = y = 196 - 189
y = 2 = y = 2
Tyler needs to complete this table for his consumer science class. He knows that 1 tablespoon contains 3 teaspoons and that 1 cup contains 16 tablespoons.
Answer:
1 pint=32 1 quart=64 1 gallon=256
Step-by-step explanation:
Need help on this one
Answer:
3
Step-by-step explanation:
To simplify this expression, we will simply work with the numerator, then the denominator, and then the fraction as a whole, following PEMDAS.
Numerator: 12 - 6 + 5 * (-3)^2
= 12 - 6 + 5 * (9)
= 12 - 6 + 45
= 6 + 45
= 51
Denominator: 17
So our simplified fraction is as follows:
51/17
Which can be reduced to the whole number, 3.
Cheers.
PLEASE HELP !! Which of the following is the midpoint of a line segment with endpoints (-2,-4) and (6,8)? (4,6) or (4,4) or (2,2) or (2,4)
Answer:
The answer is (2 , 2)Step-by-step explanation:
The midpoint M of a line segment with two endpoints can be found using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question
The endpoints are (-2,-4) and (6,8)
The midpoint is
[tex]M = ( \frac{ - 2 + 6}{2} , \frac{ - 4 +8 }{2} ) \\ = ( \frac{4}{2} , \frac{ 4 }{2} )[/tex]
We have the final answer as
M = ( 2 , 2)Hope this helps you
Iris found a value of 1 64 when she evaluated an expression. Which could have been the expression Iris evaluated? Check all that apply. 2-6 6-4 4-3 (one-half) Superscript negative 5 (one-fourth) Superscript negative 3
Answer:
A. 2^-6
C. 4^-3
Step-by-step explanation:
Iris found a value of 1/64 when she evaluated an expression.
Which could have been the expression Iris evaluated? Check all that apply.
A. 2^-6
B. 6^-4
C. 4^-3
D. (1/2)^-5
E. (1/4)^-3
A. 2^-6
= 1 / 2^6
= 1 / 2*2*2*2*2*2
= 1 / 64
B. 6^-4
= 1 / 6^4
= 1 / 6*6*6*6
= 1 / 1,296
C. 4^-3
= 1 / 4^3
= 1 / 4*4*4
= 1 / 64
D. (1/2)^-5
= 1 ÷ (1/2)^5
= 1 × 2/1^5
= 2^5
= 2*2*2*2*2
= 32
E. (1/4)^-3
= 1 ÷ (1/4)^3
= 1 × 4/1^3
= 4^3
= 4*4*4
= 64
Options A. 2^-6 and C. 4^-3 are equivalent to 1/64
Answer:
2-6,4-3
Step-by-step explanation:
What is the simplified form of 4x^-2/(3y)^-3 a. 3y^3/4x^2 b. 108y^3/x^2 c. 108x^2y^3 d. 1/108x^2y^3 Thank you!
Answer:
b-108y³/x²
Step-by-step explanation:
4x^-2/(3y)^-3
negative exponent in nominator , moves to denominator and becaomes positive , and vice versa
4(3y)³/x²=4(27y³)/x²
108y³/x²
Question 1
1 pts
A cab company does not charge a boarding fee but then has a rate of $8 an hour. What
equation represents this cab company's rate?
Oy - 8 + x
O y = 1/(8x)
O y=8
O y = 8x
Answer:
y=8x
Step-by-step explanation:
There is no why intercept because there is no additional boarding fee, so the only part of the equation you get is y=mx. In this equation, that is y=8x, where "x" is the number of hours in the cab, 8 represents the cost per hour, and "y" is the total cost of the entire cab ride.
Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of $100 in addition to a constant fee for each vertical meter climbed. For instance, the price for climbing to the Shira Volcanic Cone, which is 3000 meters above the base of the mountain, is $400. Let F represent the fee (in dollars) of a trip where they climbed d vertical meters. Complete the equation for the relationship between the fee and vertical distance. F=
Answer:
F = 100 + 0.1d
Step-by-step explanation:
Initial charge is $100Price for climbing 3000 m = 400Then equation to find a fee per vertical distance:
100+3000x = 4003000x = 300x = 300/3000x = $0.1 per/mSo the fee for climbing vertical distance is $0.1 per meter.
Vertical distance = d mTotal cost = FThen, required equation is:
F = 100 + 0.1dSolve the following addition problem 8.08 + 2.78
Answer:
its 10.86
Step-by-step explanation:
add the whole numbers, the add the decimals
8 + 2= 10
.08 + .78 = .86
or 8 + 78 = 86
Find the value of
(64/25)^-1/2
Give your answer as fraction in its simplest form.
Answer:
√(64/25)^2.
=(8/5)^-1.
1÷8/5.
5/8
−2 = −(n − 8) with step by step please
Answer:
n = 10
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
-2 = -(n - 8)
Step 2: Parenthesis (distribute)
-2 = -n + 8
Step 3: Subtract 8 on both sides
-10 = -n
Step 4: Divide both sides by -1
10 = n
Step 5: Rewrite
n = 10
Answer:
[tex]n=10[/tex]
Step-by-step explanation:
So we have the equation:
[tex]-2=-(n-8)[/tex]
First, divide both sides by -1. The left will become positive, and the negative in front of the parentheses will be canceled:
[tex](-2)/-1=(-(n-8))/-1\\2=n-8[/tex]
Add 8 to both sides. The right cancels:
[tex]2+8=(n-8)+8\\n=10[/tex]
So, the value of n is 10.
And we're done!
please help asap! i need to find the missing coordinate
Answer:
8 or 32
Step-by-step explanation:
So we are given two coordinates and the length of the segment formed by those coordinates.
To find the unknown coordinate, we can use the distance formula. Let the unknown value be n:
Let's let (-2,n) be x₁ and y₁ and let (-7,20) be x₂ and y₂.
The distance formula is given by the formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute (-2,n) for x₁ and y₁ and (-7,20) for x₂ and y₂. Also, since we already know that the length is 13, substitute it for d. Thus:
[tex](13)=\sqrt{((-7)-(-2))^2+((20)-(n))^2}[/tex]
Do the operations within the parentheses:
[tex]13=\sqrt{(-7+2)^2+(20-n)^2}\\13=\sqrt{(-5)^2+(20-n)^2}[/tex]
Now, square both sides to take out the square root:
[tex](13)^2=(\sqrt{(-5)^2+(20-n)^2})^2[/tex]
Simplify:
[tex]169=(-5)^2+(20-n)^2[/tex]
Square (-5):
[tex]169=25+(20-n)^2[/tex]
Subtract 25 from both sides. The right cancels:
[tex](169)-25=(25+(20-n)^2)-25\\144=(20-n)^2[/tex]
Now, take the square root of both sides.
[tex]\pm\sqrt{144}=\sqrt{(20-n)^2}[/tex]
Simplify:
[tex]\pm12=(20-n)[/tex]
So, we have two solutions:
[tex](12=20-n)\text { or }(-12=20-n)[/tex]
On the left, subtract 20. On the right, also subtract 20:
[tex](-8=-n)\text { or }(-32=-n)[/tex]
Divide both sides by -1:
[tex](n=8)\text{ or } (n=32)[/tex]
So, our two possible answers are 8 or 32.
(-8)+8-(-7)
answer? please help
Answer:
[tex]\Huge \boxed{\mathrm{7}}[/tex]
Step-by-step explanation:
[tex](-8)+8-(-7)[/tex]
Distributing the negative sign to the term in the bracket.
[tex]\Rightarrow (-8)+8+7[/tex]
Combining.
[tex]\Rightarrow 7[/tex]
Last week Miss Karen had 50 dollars. She went to clean a couple houses and now has
76 dollars. How much money did Miss Karen make cleaning houses?|
This has to be converted into an algebraic expression.
Please help!
An airplane has descended 4,000 feet before landing. The integer that represents how many feet the airplane was above the ground before its descent is
Answer:
8000 feet i think so yeah
if D equals 1 + 4p -6p and C = 1 -p,find an expression that equals 2D -3 C in standard form.
Answer:
2(1+4p-6p)-3(1-p)
= 2(1-2p)-3(1-p)
= 2-4p-3(1-p)
= 2-4p-3+3p
= 2-3-4p+3p
= -1-p
I'm not sure if you need the equation or the answer, but here is both.
The perimeter of the square kitchen floor measures 48 feet. What is the area of the kitchen floor?
32 feet
96 square feet
144 square feet
144 cubic feet
Answer:
144 square feet
Step-by-step explanation:
a square has 4 equal sides + perimeter is the addition of n sides in an n sided shape. 48/4 = 12 so there is 12 feet per side. Area is length times height so 12 x 12 or 144. Two terms multiplied create a square feet so answer is c
Answer:
Step-by-step explanation −2=x
rewrite in simplest terms: 9(3– 3t) – 2t – 10(8t + s)
Answer:
27 − 109 t − 10 s
Step-by-step explanation:
Use Distributive Property and Simplify
9x3 =27
9x3t = 27t
27t-2t =25t
Equation so far: 27 + 25t
Next Pair of Perentheis
-10x8t =(-80t) (Remeber a Negative time a positive is still a negative)
-10xs =(-10s)
Put it all together and your answer is;
27 − 109 t − 10 s
Answer:
it's 27 − 109t − 10s
Step-by-step explanation:
Follow PEMDAS and the Distributive Property
I need ans for Q2, 5 and 7. QUICK PLEASE!!!
3 + 4n - 8 + 2x use n = 5 and x = 7
Selena rewrote the expression 36 + 54 as two factors using the greatest common factor and the distributive property. What expression did Selena create?
Answer:
18 ( 2+3)
Step-by-step explanation:
36 + 54
We can factor out 18 from both terms
18*2 + 18*3
18 ( 2+3)
Please help me to solve this!
Answer:
A=0 B=4 C=2
Step-by-step explanation:
check your answer in the attached file
Select all names that apply to the Number
√4
Answer:
[tex] \sqrt{4} = 2[/tex]
Step by step explaination:
[tex] \sqrt{4} \\ = \sqrt{ {2}^{2} } \\ = 2[/tex]
[tex]\sf\therefore \sqrt{4}=? [/tex]
[tex]\sf\implies \sqrt{ 2 \times2} [/tex]
[tex]\sf\implies \sqrt{2^2} [/tex]
[tex]\sf\implies 2[/tex]
[tex]\large{\boxed{\bf{ \implies \:2\:}}}[/tex]
______________Solve for x. -6x+1=-41
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 6x + 1 = - 41}[/tex]
Move 7 to right hand side and change it's sign
[tex] \dashrightarrow \sf{ - 6x = - 41 - 1}[/tex]
Calculate
[tex] \dashrightarrow{\sf{ - 6x = - 42}}[/tex]
Divide both sides by -6
[tex] \dashrightarrow{ \sf{ \frac{ - 6x}{ - 6} = \frac{ - 42}{ - 6} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 7}}[/tex]
Hope I helped!
Best regards! :D
-6x+1=-41. -6x= -42. (-6x/6=x) (-42/6=7). X=7
ANSWER IT PLZ! Evaluate the expression. 3² + 6 × 2² - 4² ÷ 2³ = ?
Answer:
3² + 6 × 2² - 4² ÷ 2³ = 31.
Step-by-step explanation:
Answer:
31
Step-by-step explanation:
3^2=9
2^2=4
-4^2= -16
2^3=8
9+6*4-16/8=31
round off to 2 decimal place
26.8336 = (2d.p)
Answer:
26.8336 ≈ 26.83
Step-by-step explanation:
If x < 5, then we round down.
If x ≥ 5, then we round up.
2 decimal places is the hundredths place.
26.8336
3 < 5, so we round down
26.83
hey bros i need ur help dont worry this is not a test just a practice I found online.
Answer:
k=4
Step-by-step explanation:
euqation of the graph
(1) g(x)= x+3
We have
(2) g(x)=f(x)+k
(3) g(x)=x-1+k
(1) =(3)
x+3 =x -1 + k
-x -x
3= -1+k
k= 4
What is the coefficient of the variable in the expression 6 - 4x - 8
+ 2? (2 points)
O 6
O 2
-4
0-8
Question 2
2.nts
Answer:
-4
Step-by-step explanation:
-4x is a term
Coefficient of variable x = -4
How do you solve this
Answer:
You cannot
Step-by-step explanation:
You cannot multiply a 2×3 matrix by a 2×2 matrix. The number of columns in the first matrix ( 3 ) is not the same as the number of rows in the second matrix ( 2 ).