Discounted by 25% means he paid 75% of the original price:
80 x 0.75 = $60
Now multiply the sale price by 1 + tax rate:
60 x 1.05 = 63
He paid $63 total.
How do o solve this
Answer:
Step-by-step explanation:
Im not sure if u need to use shapes, but I will since it says in the example
4x - put it in a square box
2x - also in a square box
3 - in a circle box
1 - in a circle box
combine like terms
4x+2x=6x
3+1=4
6x+4
There are 40 working hours in a week and 52 weeks a year. How much does Nate need to make an hour to stay out of debt if it costs him $900 to live each month?
Answer: $5.19
Step-by-step explanation:
If there are 40 working hours in a week and 52 weeks in a year, 40 * 52 should be the amount of working hours in a year.
40 * 52 = 2080 working hours
Nate needs $900 to live each month and there are 12 months in a year, so $900 * 12 would equal how much he spends per year.
$900 * 12 = $10800
Divide $10800 by 2080 working hours to get how much he needs to make per working hour.
10800/2080 = approximately 5.19, rounded down from the nearest hundredth
He needs to make $5.19 per hour, so the answer is the last option.
The taxi costs 2.25 for the first mile plus 15 cents for each additional tenth of a mile. For a 5.2- mile trip eric paid 10 and told the driver to keep the change as a trip how much was the drivers tip
Answer:
$1.45
Step-by-step explanation:
The computation of the driver tip is shown below:
= 2.25 + 1.5 + 1.5 + 1.5 + 1.5 + 0.3
= $8.55
And, the amount given to driver is 10
So, the driver tip is
= $10 - $8.55
= $1.45
- 4y = - 40
please show work if you can
In a bag of sweets, 6 are orange and 9 are lime. Jodi chooses a sweet at random, eats it an
then chooses a second sweet at random.
What is the probability that both sweets are the same flavour?
(3 Points)
Answer:[tex]\frac{17}{35}[/tex]
Step-by-step explanation:
Given
The bag contains 6 orange and 9 lime sweets
For both sweets of the same flavor, Jodi must either choose orange or lime
No. of ways it can be done is [tex]^6C_1\times^5C_1+^9C_1\times^8C_1[/tex]
The total no of ways of selecting two sweets out of 15 is [tex]^{15}C_1\times^{14}C_1[/tex]
The probability that both sweets are the same flavor
[tex]P=\dfrac{^6C_1\times^5C_1+^9C_1\times^8C_1}{^{15}C_1\times^{14}C_1}=\frac{102}{210}=\frac{51}{105}=\frac{17}{35}[/tex]
A bag contains 37 coins consisting of only dimes and quarters.The total amount of money in the bag is $6.85. How many dimes are in the bag ??
Answer:
16 dimes
Step-by-step explanation:
D=number of dimes
Q=number of quarters
D+Q=37
.25 xQ + .10 x D=6.85
sub Q from first equation
.25(37-D) + .10 x D=6.85
D(.10-.25) + .25 x 37 =6.85
-.15D + 9.25=6.85
D= (6.85-9.25)/(-.15)
D=16
What is the best word to describe the probability that the spinner will stop on 1? justify your reasoning.
A certain
B unlikely
C impossible
D likely
*the clock ranges numbers form 1 - 6*
Answer:
it is b
Step-by-step explanation:
Classify the expression: 5x3+2x-3
Quadratic expression
Linear expression
Cubic expression
Exponential expression
Considering that it's highest exponent is of 3, the expression 5x³ + 2x - 3 is a cubic expression.
What is the degree of a polynomial?The degree of a polynomial is given by the highest exponent.
The highest exponent of the expression 5x³ + 2x - 3 is a 3, hence it is a cubic expression.
More can be learned about the degree of a polynomial at https://brainly.com/question/24380382
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Answer: C: cubic expression
Step-by-step explanation:
Classify the expression: 5x³ + 2x − 3
we know that
Polynomials can be classified two different ways - by the number of terms and by their degree.
so
a) By the number of terms is a trinomial, because has three terms
b) By their degree The degree of the polynomial is found by looking at the term with the highest exponent on its variable
The highest exponent is 3 so this is a 3rd degree trinomial
therefore
Is a cubic expression
In the diagram Shown a 2-foot wide flower border surrounds the heart-shaped pond. What is the area of the border?
!!PLEASE HELP!!
Answer:
Step-by-step explanation:
Area of square = 144 sq ft
Area of circle = πr² = 36π sq ft
Total area = (144+36π) sq ft
Square section of pond is 10 ft by 10 ft, area = 100 sq ft
Circular area of pond has diameter of 8 ft.
Area = πr² = 16π sq ft
Area of pond = (100+16π) sq ft
Area of border = (144+36π)-(100+16π) = (44+20π) sq ft
9. A garden has two circles. 1 big circle with sunflowers. 1 smaller circle with a radius of 6yd. Distance between the outside of the smaller circle to the end
of the bigger circle is 3yd. Find the area of the sunflower part of the garden.
Answer:
the answer would be 25
Step-by-step explanation:
since if you add all the following numbers up you make 11 and to taht you double the answer and that would give you 22 and then you add the remaining IP to make 25b
sakura bought 72 insches length of fabric for her ninja uniform.the total cost of the fabric is php 285.00 how do you think is the cost of the fabric per centimeter
Answer:
php 3.96
Step-by-step explanation:
If it costs 285.00 per 72 inches, the divide 285.00 by 72 to get per inches. 285.00 divided by 72 = 3.9583. Round 3.9583 to the hundreths place and you get 3.96.
(hope this helps...and why is this question related to naruto??))
5.
130°
X
Using the image above, find the value of Lx.
A 200
Answer:
C) 50 degrees
Step-by-step explanation:
angles x and 130 degrees are supplementary in that they add up to 180 degrees.
x + 180 - 130 = 50 degrees
HELLPP ASAP THERES A TIMER
can you help me with my homework
ුැේෞඈචොමටඉපගපයිිඅඅේෛෛඑටමවවඈ
PLS I NEED HELP ASAP I DONT HAVE TIME IT ALSO DETECTS IF IT RIGHT OR WRONG.
Answer:
D = 272 ft
Step-by-step explanation: hope this helps. pls mark me brainliest
writing polynomial functions write the equation of the polynomial function given the following zeros x= 5 , -2 , -1
Answer:
Step-by-step explanation:1) Find the domain of the given function. f(x) = square root of quantity x plus three divided by quantity x plus eight times quantity x minus two.
using a graphical tool see the attachment
the answer is C) x ≥ -3, x ≠ 2
2. Identify intervals on which the function is increasing, decreasing, or constant.
g(x) = 2 - (x - 7)2
using a graphical tool
see the attachment
the answer is C) Increasing: x < 7; decreasing: x > 7
3. Perform the requested operation or operations.
f(x) = 4x + 7, g(x) = 3x2
Find (f + g)(x).
(f + g)(x) = f(x) + g(x)
(f + g)(x) = 4x + 7 + 3x^2
(f + g)(x) = 3x^2 + 4x + 7
The answer is C) 4x + 7 + 3x2
4. Perform the requested operation or operations.
f(x) = x minus five divided by eight. ; g(x) = 8x + 5, find g(f(x)).
f(x)=(x-5)/8 g(x)=8x+5
g(f(x))=8((x-5)/8)+5=x-5+5=x
the answer is B) g(f(x)) = x
5. Find f(x) and g(x) so that the function can be described as y = f(g(x)).y = nine divided by square root of quantity five x plus five.
y=f(g(x))=9/((5x+5) ^1/2)
let do
g(x)=5x+5...........so
f(x)= 9/( x^1/2)
the answer is A) f(x) = nine divided by square root of x. , g(x) = 5x + 5
6. A satellite camera takes a rectangular-shaped picture. The smallest region that can be photographed is a 4-km by 4-km rectangle. As the camera zooms out, the length l and width w of the rectangle increase at a rate of 3 km/sec. How long does it take for the area A to be at least 4 times its original size?
Original size- >4km*4km=16 km2
4 times its original size---------------4*(16km2)-----64 Km2----------- > 8 km by 8 Km
Therefore
3km----------------------------- 1 sec
(8km-4km)---------------------x
X=4/3=1.33 sec
The answer is D) 1.33 sec
7. Find the inverse of the function.
f(x) = the cube root of quantity x divided by seven. - 9
to solve, replace f(x) with y , switch x and y, solve for y and replace y with f⁻¹(x)
f(x)=((x/7)-9) ^(1/3)
replace f(x) with y
y=((x/7)-9) ^(1/3)
switch x and y
x=((y/7)-9) ^(1/3)
solve for y
x^3=((y/7)-9)
x^3+9=y/7
y=7(x^3+9)
the answer is C) f-1(x) = 7(x3 + 9)
8. Describe how the graph of y= x2 can be transformed to the graph of the given equation.y = (x - 14)2 – 9
using a graphical tool see the attachment the answer is C) Shift the graph of y = x2 right 14 units and then down 9 units
9. Describe how to transform the graph of f into the graph of g. f(x) = alt='square root of quantity x minus nine.' and g(x) = alt='square root of quantity x plus five. '
f(x)=(x-9) ^1/2 g(x)=(x+5) ^1/2
using a graphical tool see the attachment
the answer is C) Shift the graph of f left 14 units
10. If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.
f(x) = -16x5 - 7x4 – 6
The answer is B) Degree: 5; leading coefficient: -16
11. Write the quadratic function in vertex form.y = x2 + 4x + 7
Complete the square on the right side of the equation
Use the form ax2+bx+cax2+bx+c, to find the values of a, b, and c.
a=1,b=4,c=7
Consider the vertex form of a parabola.
a(x+d)2+e
Find the value of dd using the formula d=b/2a
d=4/(2*1)=2
Find the value of e using the formula e=c−b2/4a
e=7−4=3
Substitute the values of a, d, and e into the vertex form a(x+d)2+e
(x+2)2+3
The answer is A) y = (x + 2)2+ 3
12. Find the zeros of the function.
f(x) = 3x3 - 12x2 - 15x
using a graphical tool (see the attachment)x1=-1
x2=0
x3=5
The answer is C) 0, -1, and 5
13. Find a cubic function with the given zeros.7, -3, 2
X1=7
X2=-3
X3=2
f(x)=(x-7)(x+3)(x-2)=(x2-4x-21)(x-2)=x3-6x2-13x+42
the answer is C) f(x) = x3 - 6x2 - 13x + 42
14. Find the remainder when f(x) is divided by (x - k).f(x) = 7x4 + 12x3 + 6x2 - 5x + 16; k = 3
f(x)=7(3)4+12(3)3+6(3)2-5(3)+16=946
The answer is the B) 946
15. Use the Rational Zeros Theorem to write a list of all potential rational zerosf(x) = x3 - 10x2 + 4x - 24
The constant term of () is -24
The leading coefficient is 1.
We have to only consider the factors of the constant (leading coefficient = 1)
The factors are 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24
The answer is A) ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24
Based on this picture, if ∠3 = 50˚then what is m∠8?
SHOW WORK PLEASE
27 = 54
value that would make it true
Answer:
2
Step-by-step explanation:
27 = 54,
let's say the value that will make it true is x
So then,
27 * x = 54. If we divide both sides by 27, we have
x = 54 / 27
x = 2
The value that will make it true is multiplying 27 by 2
A group of 4 friends bought movie tickets. Each person also bought a large popcorn for $7.50. If they spent a total of $72, how much was each movie ticket (t)?
Answer:
$16.125 but i don't know if you have to round
Step-by-step explanation:
Please help for a grade!?
Answer:
8.9
Step-by-step explanation:
What is Lcm of 30 and 40
Answer:
10
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
30 = 2 x 3 x 5
40 = [tex]2^{3}[/tex] × 5
-----------------------------
LCM = 2³x3x5
=120
Kevin cuts a foam block along the red line. When he looks at the newly
exposed face, what is the shape of the cross-section?
4 cm
7 cm
5 cm
A. A rectangle, 4 cm by 7 cm
B. A rectangle, 4 cm by 5 cm
C. A square, 4 cm by 4 cm
D. A rectangle, 5 cm by 7 cm
Answer:
I think B
Step-by-step explanation:
It's not a square when you cut it since after you cut one side the length would by 4cm by 5cm so there for it's not a square but a rectangle
sorry if it's wrong
Solve the following system of equations.
2x + 5y = -18 and y = -4x
Answer:
x=1 and y= -4
Step-by-step explanation:
step one: plug -4x into y in thi]e first equation.
2x+5(-4)= -18
step two: solve for x
2x-20= -18
(add 20 to both sides to eliminate -20 on the right)
2x=2
(divide both sides by 2 to get x by its self)
x=1
step 3: now that we found the value for x plug it in to either equation and solve for y
y= -4x
y= -4(1)
y= -4
Please help me! (Tangent Ratios) (30 points)
Answer:
Step-by-step explanation:
A = 48/20
B = 20/48
[tex]\frac{2y-1}{15} =\frac{y}{10}[/tex]
Answer:
y = 2
Step-by-step explanation:
Given
[tex]\frac{2y-1}{15}[/tex] = [tex]\frac{y}{10}[/tex] ( cross- multiply )
10(2y - 1) = 15y ← distribute left side
20y - 10 = 15y ( subtract 15y from both sides )
5y - 10 = 0 ( add 10 to both sides )
5y = 10 ( divide both sides by 5 )
y = 2
The difference of a number c and 17 is more than 33.
Answer:
c-17=x>33
c=51
Step-by-step explanation:
The value of number c should be greater than 50.
It is given that difference of a number c and 17 is more than 33.
We have to find out the value of number c.
What do you mean by algebraic expressions ?
The algebraic expressions are those which are made up of variables, constants and algebraic operations i.e., addition, subtraction, etc.
As per the question ;
The difference of c and 17 is more than 33.
i.e.,
difference of c and 17 meant ; 17 should be subtracted from c and this is greater than 33.
i.e.,
c - 17 > 33
c > 33 + 17
c > 50
Thus , the value of number c should be greater than 50.
To learn more about algebraic expressions click here ;
https://brainly.ph/question/20786412
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GIVE BRAINLEIST
A gift store owner used 9 rolls of wrapping paper to wrap his customers’ gifts last week. Each roll was 66 1/2 in. long. How many gifts did he wrap if a 9 1/2 in. long piece of wrapping paper was used to wrap each gift?
Answer:
7
Step-by-step explanation:
divide 66.5 by 9.5
What equation is equivalent to 2(3-y)
A. 2y - 6
B. 6 - 2y
C. 6 + y
D. 6 + 2y
Answer:
The answer is C.6+y
............
name the missing numerator. ?/9 = 36/81
Answer:
the missing number is 6
Step-by-step explanation:
because is you do 6/9 and multiply it by it self it
equals 36/81
(9x9) and (6x6)
Plz someone help me on this question
Answer:
(2,3)
Step-by-step explanation:
Answer:
(2,3)
Step-by-step explanation:
Once again the answer to the equations is where the two lines intersect and they intersect at (2,3)