Answer:
Six visits
Solving steps:
Question:. Francisco has a points card for a movie theater. He receives 55 rewards points just for signing up. He earns 9.5 points for each visit to the movie theater. He needs 112 points for a free movie ticket. How many visits must Francisco make to earn a free movie ticket?
Find out: How many visits required for 112 points.
Solution: Let's make an equation
=> 55 + 9.5x = 112
Let's make x the subject of formula
=> 9.5x = 112 - 55
Substract 55 from 112
=> 9.5x = 57
Divide both sides by 9.5
=> [tex] \frac{9.5x}{9.5} = \frac{57}{9.5} [/tex]
Divide
=> x = 6
Therefore Francisco needs 6 visit to earn a free movie ticket
The number of visits Francisco must make to earn a free movie ticket is 6.
Given that, Francisco receives 55 rewards points just for signing up. He earns 9.5 points for each visit to the movie theater.
Let the number of visits to the movie theater be x.
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
He needs 112 points for a free movie ticket.
Now, the equation is [tex]9.5x+55=112[/tex]
[tex]9.5x=112-55[/tex]
[tex]9.5x=57[/tex]
[tex]x=\frac{57}{9.5}[/tex]
[tex]x=6[/tex]
Therefore, the number of visits Francisco must make to earn a free movie ticket is 6.
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Find the equation of a line that passes through the points (1,3) and (2,2).
Leave your answer in the form y=mx+c
Answer:
y=-x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(2-3)/(2-1)
m=-1/1
m=-1
y-y1=m(x-x1)
y-3=-1(x-1)
y-3=-x+1
y=-x+1+3
y=-x+4
i someone help me solve this
Answer: 175x + 20 ✅
Step-by-step explanation: 12x^2 + 31x = 175x
175x + 20
Answer:
I'm not sure what the question is. I don't see an "=" sign, so I'll assume this is simply an expression and we are asked to factor it.
(4x+5)(3x+4)
Step-by-step explanation:
(4x+5)(3x+4) = 12x^2 + 31x + 20
If the equation is = 0, the solutions are x = -(3/4) and x = -(5/4)
HELP ME!! The population of a city is modeled with the function P=250,000e^0.013t, where t is the number of years since 2000. In what year will the population reach 450,000?
Answer:
250,000e^0.013t, where t is the number of years since 2000. In what year will the population reach 450,000?
The diameter of a cylinder is 5 yd. The height is 4 yd. volume of the cylinder? Find the volume of the cylinder.
Answer:
Using volume formula in terms of cylinder and use units such as yd carefully for conversions
Step-by-step explanation:
Diameter = 3 yd
Radius (r) = 3/2 = 1.5 yd
height (h) = 4 yd
Volume (V) = πr²h
=π * (1.5)² * 4 =π *2.25 *4
= 9π cubic yd
Given :-
Diameter of cylinder = 5 ydHeight of cylinder = 4 ydTo Find :-
Volume of cylinder?Solution :-
Firstly lets calculate radius of cylinder, as we know that;
Radius = Diameter/2Putting all values we get;
➸ Radius = 5/2
➸ Radius = 2.5 yd
Now let's calculate its volume, as we know that;
Volume of cylinder = πr²hPutting all values we get;
➸ Volume(cylinder) = 3.14 × (2.5)² × 4
We can write it as;
➸ Volume(cylinder) = 3.14 × 4 × 2.5 × 2.5
➸ Volume(cylinder) = 12.56 × 6.25
➸ Volume(cylinder) = 78.5 cubic yd
Hence, volume of cylinder is 78.5 cubic yd.74.64 rounded to the nearest tenth
how do you round a decimaled number?
Answer:
[tex]\displaystyle 74,6[/tex]
Step-by-step explanation:
You have a 6 in the tenths position, so the 4 in the hundredths position tells you to STAY at [tex]\displaystyle 74,6.[/tex]
I am joyous to assist you at any time.
What is the surface area of the box, in square feet, that Zoey decorates?
Answer:
1006 [tex]ft^{2}[/tex]
Step-by-step explanation:
get the area of each individual rectangle (length x width) and add together
36÷(9÷3/4)-2.4 find the answer
Answer:
0.6
Step-by-step explanation:
Start by what is in the parenthesis, then the division or multiplication from left to right, then addition or subtraction from left to right, so basically just use PEMDAS, and that is it, I just explained how to use it.
Hope this helps :)
Answer:
0.6
Step-by-step explanation:
36/(9 / 3/4)-2.4
=> 36/12-2.4
=> 3-2.4
=> 0.6
What is the slope-intercept form or the formula of it?
Answer:
y=mx+b
Step-by-step explanation:
The slope-intercept formula is y=mx+b
Hope it helps!
-Ava
Answer:
y=mx+b
Step-by-step explanation:
That is the formula of slope-intercept.
I hope it helps! Have a great day!
Bee~
The 2 above regular hexagons are similar. (see figures) The smaller hexagon was
increased by a factor of 5:7. What is the length of each side of the larger hexagon?
The smaller and the larger hexagons both have 6 sides
The length of each side of the larger hexagon
How to determine the length of each side of the larger hexagon
The given parameters are:
Smaller side, l = 10
Scale factor = 5 : 7
Represent the length of each side of the larger hexagon with L.
So, we have:
l : L = 5 : 7
Substitute 10 for l
10 : L = 5 : 7
Multiply the ratio by 2
10 : L = 5 *2 : 7 *2
Evaluate the product
10 : L = 10 : 14
By comparison, we have:
L = 14
Hence, the length of each side of the larger hexagon
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This should be the last of my questions today
Gabe is driving to Florida for spring break. Two hours into the trip, he was 492 miles from his destination. Five hours into the trip, he was 330 miles from his destination. If he left at 7:00 a.m. and keeps a constant pace, between which hours will he arrive at his destination?
A. Between 5:00 and 6:00
B.Between 6:00 and 7:00
C :Between 7:00 and 8:00
D: Betweem 8:00 and 9:00
Answer:
he started driving 5:00 while was 492miles from his destination he drove for extra 5hours while he was 330 miles from his destination then his final destination will be 8:00 to 9:00
Given: ABCD is a rectangle.
Prove: ΔABC is congruent to ΔCDA ABDC is a rectangle.
ABCD is a parallelogram. AB is congruent to DC and BC is congruent to DA AC is congruent to AC ΔABC is congruent to ΔCDA Given Definition of a rectangle. Opposite sides of a parallelogram are congruent. _____________________ _____________________
A. Symmetric Property of congruent; SAS
B. Reflexive Property of congruent to; SAS
C. Symmetric Property of congruent; SSS
D. Reflexive Property of congruent; SSS
Answer:
D
3. Reflexive Property of (Congruence) ≅
4. SSS (Side to Side to Side Congruence rule)
Step-by-step explanation:
this is D reflexive property of SSS
3. Any geometric figure compared to itself is congruent to itself so this is why:
4. Since we have a parallelogram, therefore we can say:
Both triangles ABC and CDA satisfy the side to side to side congruence, since their 3 sides are congruent.
So, It's D.
P.S.
Notice that the angle measure information is not included in the data above that's why we cannot say it is SAS congruence.
Tim drove 100 miles in 2 hours. At this rate, how many miles will he drive in 8 hours?
Answer:
400 miles
Step-by-step explanation:
2 hours = 100 miles
Therefore, he will drive 4 times the distance given 4 times the time taken.
=> 100 x 4
=> 400 miles
Answer:
if 100 mls = 2hrs therefore 8×100÷2=400
Which facts are true for the graph of the function below? Check all that apply.
F(x)=(3/5)^x
A. The domain of F(x) is x > 0.
B. The range of F(x) is y> 0.
C. It is increasing.
O D. It is decreasing.
E. The y-intercept is (0, 1).
F. The x-intercept is (1,0).
Answer:
B. D. E
Step-by-step explanation:
The range of f(x) is y> 0 and the y-intercept is (0, 1). Therefore, options B, D and E are the correct answers.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is f(x)=(3/5)ˣ.
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: (−∞,∞),{x|x∈R}
Range: (0,∞),{y|y>0}
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): None
y-intercept(s): (0,1)
Therefore, options B, D and E are the correct answers.
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A pair of shoes cost $95. If the shoes are at a 30% discount and the sales tax is 7%, how much would you end up paying for the shoes? Explain how to get your answer. You can do this by showing all of your work in an organized way or by writing out what you did in complete sentences.
i need help with this please and thank you
Select all the correct answers.
Which of the following shapes contain obtuse angles?
Answer:
trapezium, pentagon
Step-by-step explanation:
hope it helps you<3Find the total area of the solid figure. 54 + 9√3/2 46 + 9√2/2 64 + 9√3/2 72+ 2√3/9
Answer:
Step-by-step explanation
1/4s squared, square root of 32
bh3. A = pi(r) squared4
1/2 h (b1+ b2)5
pi(d)6 base x altitude7
1/2(ap)8
1/2(bh)
-
21) The graph of the function f(x) = x3 - 2x2 + 4x – 8 intersects the x-axis at the point (2,0) as shown.
Which statement is true?
A) The function has 3 different zeros.
B) The function has 1 real zero that occurs 1 time.
C) The function has 1 real zero that occurs 2 times.
D) The function has 1 real zero that occurs 3 times.
The true statement about the graph of the function f(x) = x3 - 2x2 + 4x – 8 is (B) The function has 1 real zero that occurs 1 time.
How to determine the true statementThe function of f(x) is represented as:
[tex]f(x)=x^3-2x^2+4x-8[/tex]
Differentiate the function f(x)
[tex]f'(x)=3x^2-4x+4[/tex]
Calculate the minimum value using:
[tex]x = -\frac b{2a}[/tex]
So, we have:
[tex]x = -\frac {-4}{2*3}[/tex]
[tex]x = \frac {2}{3}[/tex]
Substitute 2/3 in f'(x)
[tex]f'(2/3)=3*(2/3)^2-4(2/3)+4[/tex]
[tex]f'(2/3)=\frac 83[/tex]
The value of f'(2/3) is greater than 0.
This means that the function f(x) has 1 real zero, and it occurs once at point (2,0)
Hence, the true statement is (b)
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An angle measures 98° less than the measure of its supplementary angle. What is the measure of each angle?
Answer: 41 and 139 degrees
Step-by-step explanation:
Functions! Help with number 3 please!!!
Answer: 20
Step-by-step explanation:
Assuming g(x) = -4x + 1,
( -4 (-4) + 1) - (-4 + 1)
= (16 + 1) - (-3)
= 17 + 3
= 20
Linda bought ½ of bracelets she bought ⅔ at the same exact time. How many bracelets does Linda have?
Answer:
the answer is [tex]1\frac{1}{6}[/tex]
Step-by-step explanation:
in this situation, you going to add both fractions to get your answer
[tex]\frac{1}{2}+\frac{2}{3}=\frac{7}{6}[/tex] when reduced the answer would be [tex]1\frac{1}{6}[/tex]
6x − 5 = 5(x − 3) + x
X=???
Answer:No solution
Step-by-step explanation:
The diagram shows a sketch of the curve y = sin xº.
YA
Р
Q
x
a) Write down the coordinates of the point P.
b) Write down the coordinates of the point Q.
]
Feedback
Answer:
Point P is [tex](\frac{\pi}{2},1)[/tex]
Point Q is [tex](\pi,0)[/tex]
Step-by-step explanation:
We know that the function [tex]y=sin(x)[/tex] has a period of [tex]2\pi[/tex] and that it oscillates between [tex]-1\leq y\leq1[/tex]. So, point P must be [tex](\frac{\pi}{2},1)[/tex], and point Q must be [tex](\pi,0)[/tex].
The function f(x) = log0.75x is decreasing true or false
Answer:
Its true
Step-by-step explanation:
Hope this helped<3
87 pounds to 16 pounds
Answer:
In explanation.
Step-by-step explanation:
what are you exactly looking for here are some of my ideas.
How many pounds did it drop=?
from 87 to 16 pounds it dropped a total of 71 pounds.
what was the percent increase=?
The percentage of the pound increase is 81.6092.
you calculate this bu - value 2 by value 1 the divided your answer with value 1 you then times that answer by 100.
Maybe the decimal form,written form,fraction form, of the awnser after you subtract.
decimal form is 0.71
written form is seventy one pounds.
fraction form=71/100 after subtract.
are any of these the things your looking for?
Hope it helps have a great day:)
[tex][Hello,BrainlyUser][/tex]
Are you try to find the percent of decrease?
If So, your answer is below;
Answer:
81.6
Step-by-step explanation:
↓ Formula ; Original value-New Value/Original Value * 100 ↓
⇒ 87-16/87 * 100
⇒ 71/87 * 100
⇒ 81.6091954023
⇒ Round; 81.6
Thus, Answer is 81.6
[CloudBreeze]
In the function f(x) = (x - 2)2 + 4, the minimum value occurs when x is
Answer:
x=2
Step-by-step explanation:
The minimum value of the function would be its vertex, where the x-coordinate is defined as [tex]x=-\frac{b}{2a}[/tex] in the form of [tex]ax^2+bx+c=0[/tex], so we expand the function first:
[tex]f(x)=(x-2)^2+4\\\\f(x)=x^2-4x+4+4\\\\f(x)=x^2-4x+8[/tex]
This is now in the form of [tex]ax^2+bx+c=0[/tex] and we use our rule:
[tex]x=-\frac{b}{2a}\\ \\x=-\frac{-4}{2(1)}\\ \\x=-\frac{-4}{2}\\ \\x=-(-2)\\\\x=2[/tex]
Thus, the minimum value of the function occurs when x=2
DOK 4
Analyze the student's solution and write a sentence for each error the student has made. (A
[7-8]) *
Answer:
[tex]\log_{12}144=2[/tex]
Rewrite 144=[tex]12^{2}[/tex] in a different form:
[tex]\Downarrow[/tex]
[tex]\log_{12}144=2[/tex]
I hope this helps you
:)
What value of f makes this equation true: 16=2. 5f?
Answer:
f=6.4
Step-by-step explanation:
How long is the arc intersected by a central angle of startfraction 5 pi over 3 endfraction radians in a circle with a radius of 2 ft? round your answer to the nearest tenth. use 3.14 for pi. 2.6 ft 7.0 ft 10.5 ft 31.4 ft
The length of the arc will be 10.5 ft. The arc length is the measurement of how long an arc is.
What is an arc?An arc is a smooth curve that links two locations. The arc length is the measurement of how long an arc is.
A graph arc is an ordered pair of neighboring vertices in a graph. An arc, in particular, is any piece of a circle's circumference.
The given data in the problem is;
r is the radius= 2 ft
s is the arc length=?
[tex]\rm \theta[/tex] is the angle in radian= [tex]\frac{5 \pi}{3}[/tex]
The arc of the circle is given by;
[tex]\rm s = r\theta \\\\ \rm s = 2\times\frac{5 \pi}{3} \\\\ \rm s = \frac{10 \pi}{3} \\\\ \rm s = =10.5 \ ft[/tex]
Hence the length of the arc will be 10.5 ft
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Answer:
10.5 ft
Step-by-step explanation:
The answer above is correct.
Calculate value of expressions when
A= -5,b= -4, c= -3 and d=-2
3a+4b+6c+3d
Answer:
-55
Step-by-step explanation:
3*(-5)+4*(-4)+6*(-3)+3*(-2)=(-15)+(-16)+(-18)+(-6)=(-55)