Answer:
$12.89
Step-by-step explanation:
value of tax:
6 : 100 = x : 10.40
x = (10.40 * 6)/100 = $0.624
new amount
10.40 + 0.624 = $11.02
value of tip
17 : 100 = x : 11.02
x = (11.02 * 17)/100 = $1.8734
Final amount
11.02 + 1.8734 = $12.89
There are 24 men in a room
¼ of the men are wearing red shirts
½ of the men are wearing green shirts
The remaining men are wearing blue shirts
Workout the number of men that are wearing blue shirts
Answer:
6
Step-by-step explanation:
1/4= 6 men
1/2=12 men
therefore 24-12-6=6 men
Luke puts $35 in his savings account every month. Use a calculator to find how much money he will save in a year.
Watch rep
Given the definitions of f(x) and g(x) below, find the value of (fºg)(-8).
f(x) = x² – 3x – 12
g(x) = -x - 12
Submit Answer
Answer:
attempt 1 out of
O
Answer:
The value of [tex]f\,\circ\,g(-8)[/tex] is 16.
Step-by-step explanation:
The composition consist: in replacing the independent variable ([tex]x[/tex]) of [tex]f(x)[/tex] by [tex]g(x)[/tex]:
[tex]f(x) = x^{2}-3\cdot x -12[/tex] (1)
[tex]g(x) = -x-12[/tex] (2)
[tex]f\,\circ\,g (x) = (-x-12)^{2} - 3\cdot (-x-12) -12[/tex] (3)
[tex]f\,\circ\,g(x) = (x^{2}+24\cdot x + 144) +(3\cdot x +36) - 12[/tex]
[tex]f\,\circ\,g(x) = x^{2} +27\cdot x +168[/tex]
[tex]f\,\circ g(-8) = (-8)^{2}+27\cdot (-8) +168[/tex]
[tex]f\,\circ\,g(-8) = 16[/tex]
The value of [tex]f\,\circ\,g(-8)[/tex] is 16.
A spinner has three unequal sections: red, yellow, and blue. The table shows the results of Nolan's spins. Find the experimental probability of landing on each color. Enter your answers as simplified fractions.
Red: 13
Yellow: 19
Blue: 9
The probability of landing on red is...
The probability of landing on yellow is...
The probability of landing on blue is...
Answer:
Red: 13/41
Yellow: 19/41
Blue: 9/41
PLSS HELP ASAP WILL GIVE BRAINLIEST
Answer:
R (3,-2) S(5,2) T(6,0)
Step-by-step explanation:
In the figure below, ∠ABC ≅ ∠DEC and ∠GFE ≅ ∠DCE. Point C is the point of intersection between segment AG and segment BD, while point E is the point of intersection between segment AG and segment DF.
Prove ΔABC ∼ ΔGEF.
Answer:
See Below.
Step-by-step explanation:
We are given that:
[tex]\angle ABC \cong \angle DEC\text{ and } \angle GFE \cong \angle DCE[/tex]
By vertical angles:
[tex]\displaystyle \angle DEC\cong \angle GEF\text{ and } \angle DCE\cong \angle ACB[/tex]
Hence, by substitution:
[tex]\displaystyle \angle ABC\cong \angle GEF\text{ and } \angle GFE\cong \angle ACB[/tex]
Then by Angle-Angle Similarity:
[tex]\Delta ABC \sim \Delta GEF[/tex]
2.
Find the value of x. If necessary, round to the nearest tenth.
A. 13.7 in.
B. 11.7 in.
C. 9.7 in.
D. 6.9 in.
Answer:
A
Step-by-step explanation:
13.7
Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answer:
The triangles are congruent by congruency theorem SAS.
Step-by-step explanation:
Side-Angle-Side, as it suggests, is when a triangle is congruent by the order of congruent side, congruent angle, and another congruent side. If named certain ways, they can be congruent. Since the question does not provide a specific way of naming the triangles, we can assume that any way is allowed. 2.5 and 2.5 are congruent, followed by angles D and G which have the congruent angle markers. The congruent angles are followed by 1.7 and 1.7, making the triangles congruent by Side-Angle-Side.
One of the solutions to the equation x² - 5x-24 = 0 is 8. What is the other solution?
Answer:
-3
Step-by-step explanation:
This is a quadratic equation. Therefore, one way we can solve this is by using the quadratic formula, [tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] and [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex].
a, b, and c represent the coefficients in our equation [tex]x^2-5x-24=0[/tex]. a represents the coefficient of the term with degree of 2, which is 1. b represents the coefficient of the term with degree of 1, which is -5. c represents the coefficient of the term with degree of 0, which is -24.
Let us plug them in the equation! Let us start with this one: [tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\frac{5+\sqrt{(-5)^2-4*1*(-24)} }{2} =\\\frac{5+\sqrt{25+96} }{2} =\\\frac{5+\sqrt{121} }{2} =\\\frac{5+11}{2} =\\\frac{16}{2} =\\8[/tex]
Oops! We are looking for the other solution. Let us plug in the values in this equation instead: [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\frac{5-\sqrt{(-5)^2-4*1*(-24)} }{2} =\\\frac{5-\sqrt{25+96} }{2} =\\\frac{5-\sqrt{121} }{2} =\\\frac{5-11}{2} =\\\frac{-6}{2} =\\-3[/tex]
I hope this helps! Let me know if you have any questions :)
The wheels on jason's dirt bike messure 19 inches in diameter. How many revolutions will the wheels make when jason rides for 500 ft? Use 3.14 for pi. Round to the nearest whole number.
========================================================
Explanation:
C = circumference
C = pi*d
C = 3.14*19
C = 59.66
The distance around the wheel's edge is roughly 59.66 inches. This corresponds to the distance the bike travels after the tire spins one full revolution. It might help to imagine that there's wet paint on his tire, and that paint is being transferred to the flat ground.
Let x be the number of revolutions. After those x revolutions happen, the bike has moved forward 59.66x inches. Set this equal to 6000 (because 500 ft = 500*12 = 6000 inches) and solve for x
59.66x = 6000
x = 6000/59.66
x = 100.569896077774
x = 101
After 101 revolutions, Jason has traveled about 500 ft.
Note how x = 100 is too small because 59.66*x = 59.66*100 = 5966 which is 34 inches short of 6000 inches.
And also notice that x = 101 works because 59.66*x = 59.66*101 = 6,025.66 which is over the target mark we're after.
Translate this phrase into an algebraic expression.
8 more than twice Matt's savings
Use the variable m to represent Matt's savings.
Answer:
2m + 8
Step-by-step explanation:
It's rather simple to break it down, take "8 more" as (+ 8) and twice Matt's savings into (2 * m) which then becomes simply (2m). Because of pemdas, your final answer should be 2m first then + 8, so 2m+8
2. Illustrate using a Venn diagram the union and intersection of the following event. Given event A are
numbers which are multiples of 3 between 1 and 40 and event B are even numbers from 10 to 30.
Answer:
A intersection B = {12,18,24,30}
Step-by-step explanation:
A ={3,6,9,12,15,18,21,24,27,30,33,36,39}
B ={10,12,14,16,18,20,22,24,26,28,30}
Plz help ill give u brainlyest.
Also anser a and b
Answer:
A) 4/7 feet
B) 4/7 x 15 = 60/7 or [tex]8\frac{4}{7}[/tex]
Aseem and Stana are building model cars. stanas car is 5 less than 2 times the length of Aseem's car. The sum of the lengths of both cars is 20. write an equation to determine the lengths of Aseem's and Stana's cars
Answer:
Aseem’s : 8.3, Stana’s : 11.6
Step-by-step explanation:
Aseem: x
Stana: 2x-5
X+2x-5=20
3x=25
X = 8.3
When Alissa was 5 years old, she started collecting pennies. She collects an average of 24 pennies per week . How many pennies can she collect in 27 week?
Answer:
Step-by-step explanation:
648 I think
Q. Mohammed calculated the volume of the prism as 240 cm3. Is he correct? *
a- yes
b- no
Answer:
I gues s it s yes. if correct brainlest answer pla..
Answer:
No
Step-by-step explanation:
The formula for a triangular prism is
[tex] \frac{1}{2} a \times h[/tex]
where a is the area of the triangle.
The area of a triangle is
[tex] \frac{4 \times 5}{2} = 10[/tex]
so the volume is
[tex]10 \times 12 = 120[/tex]
I need help on this.
Answer:
i dont know how to answer this...
Step-by-step work-<3
Someone Please Help Me!!. If the radius is 14 cm and the area of sector of the circle are 18.48 cm2, calculate the angle at the centre of the circle.
Answer: approximately 11 degrees
======================================================
Explanation:
If the radius is r = 14, then the area of the full circle is
A = pi*r^2
A = 3.14*14^2
A = 615.44
The area of the full circle is roughly 615.44 cm^2
However, the pizza slice area is only 18.48 cm^2
Divide the two values: (18.48)/(615.44) = 0.030027
The pizza slice is roughly 3% of the full circle.
Multiply that decimal result with 360 to get the final answer
0.030027*360 = 10.80972
That rounds to approximately 11 degrees
-------------
Here's another example:
Let's say the full circle area was 100 cm^2 and the pizza slice was 25 cm^2. We can see that 25/100 = 0.25 = 25% of the full area is the pizza slice
25% of 360 = 0.25*360 = 90 degrees would be the central angle, which is basically what we expect when we cut the circle into 4 equal slices.
The polynomial, −4x2+5 , is considered by classification to be a
Answer:
here u go
Step-by-step explanation:
binomial
A rectangular tank measures 30 cm by 20 cm by 40 cm. How many milliliters of water are in the tank when it is full? How many liters is that? Solve this problem in the math section
Answer:
24000 cm³ or 24 L
Step-by-step explanation:
The measure of a tank is 30 cm by 20 cm by 40 cm.
We need to find the volume of water in the tank when it is full.
Volum = 30 cm × 20 cm × 40 cm
= 24000 cm³
1 cm³ = 1 ml
24000 cm³ = 24000 mL
Also, 1 cm³ = 0.001 ml
24000 cm³ = 24 L
Hence, this is the required solution.
URGENT: Graph y = cosx for -3\pi/2 <= x <= -pi/2
What is the largest value in the range?
A. -1
B. 0
C. 1/2
D. 1
Lemont answered 6 out of 40 questions on a
test incorrectly. What percentage of the
questions did he answer correctly?
Answer:
85%
Step-by-step explanation:
(40 - 6)/40 * 100%
34/40 * 100%
85%
Please help me solve this!!
Answer:
x=10,6
Step-by-step explanation:
A curve is given by the parametric equations x = cos 2t * a * n * d * y = sin t , then the cartesian equation of the curve is given by: a x = y ^ 2 + 1; y ^ 2 = (1 - x)/2; x ^ 2 + y ^ 2 = 1; x ^ 2 = (1 - y)/2; y ^ 2 = x + 1 d e
Answer:
Y² = (1-X) / 2
Step-by-step explanation:
According To The Question, We Have
X= Cos2t & Y= Sint
the cartesian equation of the curve is given by Y² = (1-X) / 2 .
Proof, Put The Value of X & Y in Cartesian Equation, We get
Sin²t = {1-(1-2×Sin²t)} / 2 [∴ Cos2t = 1 - 2×Sin²t]
Taking R.H.S
(1-1+2×Sin²t)/22Sin²t/2 ⇔ Sin²t = L.H.S (Hence Proved)A recipe for slime calls for 1/4
cup water and 1/3
cup glue. What is the total
amount of liquid needed for the recipe?
Answer:
7/12
Step-by-step explanation:
12 is they're denominators GCF so we we multiply 1/4 by 3 to get 3/12 and 1/3 by 4 to get 4/12.
3/12+4/12=7/12
Hope this helps! :)
someone help me out please:(
Answer:
[tex]m(x) = - 3x - 3[/tex]
Step-by-step explanation:
[tex]m(x) = f(x) - g(x)[/tex]
[tex]m(x) = (2x+1)−(5x+4)[/tex]
[tex]m(x) = 2x+1−(5x)−1 \times 4[/tex]
[tex]m(x) = 2x+1−5x−1 \times 4[/tex]
[tex]m(x) = 2x+1−5x−4[/tex]
[tex]m(x) = −3x+1−4[/tex]
[tex]m(x) = −3x−3[/tex]
Hope it is helpful...what are the x intercepts if y is 16x takeaway 8x squared?
Answer:
The x-intercepts are (0, 0) and (2, 0)
Step-by-step explanation:
The function is y = 16x - 8x^2.
To find the x-intercepts, we set this function equal to zero (0) and solve the resulting equation for x:
16x - 8x^2 = 8x(2 - x) = 0.
Then 8x = 0 yields x = 0 and 2 - x = 0 yields x = 2
The x-intercepts are (0, 0) and (2, 0)
Someone pls help me pls!
Answer:
[tex]y=\sqrt{x-5}[/tex]
Step-by-step explanation:
Answer:
The answer is [tex]y=\sqrt{x-5}[/tex].
Step-by-step explanation:
To solve for the inverse of this function, start by writing [tex]f(x)=x^{2} +5[/tex] as an equation, which will look like [tex]y=x^{2} +5[/tex].
Next, interchange the variables, and the equation will look like [tex]x=y^{2}+5[/tex]. Then, solve for the y in the equation,
To solve for the y in the equation, rewrite the equation as [tex]y^{2}+5=x[/tex]. Next, subtract 5 from both sides of the equation, which will look like [tex]y^{2}=x-5[/tex]. The next step is to take the square root of both sides of the equation to eliminate the exponent on the left side, and the equation will look like [tex]y=\sqrt{x-5}[/tex].
To put the answer in actual inverse form, the answer will be [tex]f^{-1} (x)=\sqrt{x-5}[/tex].
Help me ASAP please
Answer:
D. F(x) = (x - 1)^4
Step-by-step explanation:
To shift a graph h units horizontally, replace x by x - h.
The shift is 1 unit to the right, so the shift is positive 1.
h = 1
x - h = x - 1
Replace x with x - 1.
G(x) = x^2 becomes F(x) = (x - 1)^4
Those who are math geniuses, please help, this is timed T-T
I will mark brainliest for the best answer!
Answer:
Top box: Endpoint
Bottom box: Ray
Step-by-step explanation:
Assuming that the top box is supposed to be for the point shared by both rays, then it is a endpoint of the rays, as the lines do not continue past the point on the opposite side.
The bottom box will then be a ray, as no point is shown, and a arrow is used at the "end" of the line to signify that it will continue on forever.
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