Answer:
Step-by-step explanation:
The equation modeling the situation is ;
y = 25x + 80
We want to know what the y-intercept mean in this question
Mathematically, the equation of a straight line is ;
y = mx + c
where c is the y intercept and m is the slope
What we should understand is that at the y intercept which is 80 here, the value of x is 0
Now since y means the amount of money spent and x is number of chairs bought, the value 80 means that the amount spent when he bought 0 number of chairs is 80
Now going by the question, since he bought 0 chairs here and we still have some cost, definitely he spent the money on other things which of course might be the amount spent in purchasing some tables
A new restaurant opens, and on the first night has 100 guests. Each night after that, the number of guests grows by 20 people. What type of sequence does this scenario represent, and why? If the pattern of the sequence continues, how many guests will the restaurant have on its 14th night?
What type of sequence does this scenario represent, and why?
✔ arithmetic; the sequence has a common difference
If the pattern of the sequence continues, how many guests will the restaurant have on its 14th night?
✔ 360
This example doesn't accurately depict arithmetic because the succession has a common difference. The restaurant will host 360 customers on its fourteenth night if the pattern of the series holds.
Calculate arithmetic sequence nth term?Arithmetic sequences always add or subtract the same amount to go from one term to the next. Finding the difference between any AP phrase and its predecessor will reveal the common difference, indicated by the letter "d."
An arithmetic sequence's nth term is determined by, Formula an = a1 + (n - 1)d. The common difference, or d, is the difference between any two consecutive terms in an arithmetic series; it can be calculated by deducting any pair of terms starting with a and an+1.
an = 100 + (14 - 1)20.
an = 360
The restaurant will host 360 customers on its fourteenth night if the pattern of the series holds.
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Pedro runs 9/10 of q mile each day how many miles does Pedro run in 6 days
Answer: 1.35 miles
Step-by-step explanation:
9/10th of quarter mile = 9/40
For 6 days
9/40 x 6 = 27/20 = 1.35 miles
What does this problem equal?
(h-k)(3) =
Answer:
3h−3k
Step-by-step explanation:
7. Diana took 2 hours to cycle from town X to town Y. Her average speed was 10 kilometers per
hour.
a) Find the distance between the two towns. (2 marks)
b) If her average speed was increased by 2 kilometers per hour, how much time would she take
for the journey? (2 marks)
Answer:
a.) 20 kilometers
b.)1.67 hours
Step-by-step explanation:
a.) formula= speed =distance/time
Speed= 10km/hr
Distance=unknown
Time=2hrs
Therefore from formula, distance=speed x time
10 x 2
20 kilometers
b.) If average speed is increased by 2km/hr then
total speed= 2+10=12km/hr
Distance remains constant therefore distance= 20km
Therefore time =distance/speed
20/12
= 1.67 hours
Prove that 6+7 root 2 is irrational
Answer:
Step-by-step explanation:
49 is a perfect square, since it equals 7*7; 56 is not. If you have 35.2 and 37T, 36 is the perfect square between the two integers. Take the square root of the perfect square. If you have your square roots for memory, you know that the square root of 36 is equal to 6.
1. Find the volume of the cylinder
height: 8m
radius: 3 m
with the explanation if possible <3
Answer:
226.19
Step-by-step explanation:
V=π•r^2•h
V=π•3^2•8
v=72π
V=226.19
200 is what percent of 100
Answer:
200%
Step-by-step explanation:
make a proportion
100/100% = 200/x% cross multiply
100x =20000 divide by 100
x = 200
Answer:
200% I think?
Step-by-step explanation:
The volume of a cube depends on the length of its sides. This can be written
in function notation as ws). What is the best interpretation of v(4) = 64?
Answer:
46=-76.333(6×7)-÷45%€7*÷00.0001×6÷45+2
Can anyone one give me the answer for this??!! Please hurry up to
Answer:
N=6
Step-by-step explanation:
As the answer is 6 and we already have 3 so the other half is 3. Half of 6 is three so n=6
Find the slope of the line y
Candida has a ballet recital in one week. She is planning on practicing for 30 minutes each day until the recital. How much time will she practice between now and her ballet recital? A. 2 hours B. 3 hours and 30 minutes C. 4 hours and 30 minutes D. 5 hours
Answer:
B. 3 hours 30 minutes
Step-by-step explanation:
1 week=7 days
30 minutes each day for 7 days
=30 minutes×7 days
=210 minutes
60 minutes makes 1 hour
210/60=3 hours 30 minutes
Candida has 3 hours 30 minutes from now till her ballet recital to practice
B. 3 hours 30 minutes
select all that are equal to 5^3*5^-7
a. 1/5^-4
b. 1/5^4
c. 5^-4
d. 5^4
e. 1/-625
Answer:
5^3*5^-7 = 1/5^4 b. is true = 625
5^3*5^-7 = 5^-4 c. is true = 625
Step-by-step explanation:
b. Left hand side
Simplify the following:
5^3/5^7
Combine powers. 5^3/5^7 = 5^(3 - 7):
5^(3 - 7)
3 - 7 = -4:
5^(-4)
5^4 = (5^2)^2:
1/(5^2)^2
5^2 = 25:
1/25^2
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
Answer: 1/625
Right hand side:
Simplify the following:
1/5^4
5^4 = (5^2)^2:
1/(5^2)^2
5^2 = 25:
1/25^2
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
Answer: 1/625
_____________________________
c. Left hand side (see above)
Right hand side:
Simplify the following:
5^(-4)
5^4 = (5^2)^2:
1/(5^2)^2
5^2 = 25:
1/25^2
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
Answer: 1/625
Answer:
The answers are B and C. The other person is wrong.
Step-by-step explanation:
What dose point a represent on the graph
Answer:A point can represent a piece of data or an (x,y) value.
Step-by-step explanation:
What is the value of m in the equation 1/2 m - 3/4 n equals 16 when n equals 8
Answer:
m =44
Step-by-step explanation:
1/2 m -3/4 n = 16
Let n =8
1/2 m - 3/4(8) = 16
1/2 m - 6 = 16
Add 6 to each side
1/2 m -6+6 = 16+6
1/2 m = 22
Multiply each side by 2
m = 22*2
m = 44
Answer:c
Step-by-step explanation:
Pls pls help me with this
simplify 6^7/6^5 leaving you answer in index form
Answer:
6²
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex] , thus
[tex]\frac{6^{7} }{6^{5} }[/tex] = [tex]6^{(7-5)}[/tex] = 6²
The answer is 6^2.
What is division?
Division is the process of splitting a number or an amount into equal parts.
here, we have,
6^7/6^5
we know,
a^m/a^n
=a^(m-n)
so, we get,
6^7/6^5
=6^2
hence, The answer is 6^2.
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Michelle and her family went out to dinner. Their bill, after tax, came to $40. They want to leave a 15% tip. How much money should they leave for the tip? .
Answer:
tip is $6
Step-by-step explanation:
multiply 40 by 0.15 so 6
2x + 12 = -2(4-2x)
X=10
X=-10
X=-5
X=5
Answer:
[tex] \boxed{x = 10} [/tex]
Step-by-step explanation:
[tex] = > 2x + 12 = - 2(4 - 2x) \\ \\ = > 2x + 12 = (( - 2) \times 4) - (( - 2) \times 2x) \\ \\ = > 2x + 12 = - 8 - ( - 4x) \\ \\ = > 2x + 12 = - 8 + 4x \\ \\ = > 2x - 4x + 12 = - 8 \\ \\ = > - 2x + 12 = - 8 \\ \\ = > - 2x = - 8 - 12 \\ \\ = > \cancel{-} 2x = \cancel{- }20 \\ \\ = > 2x = 20 \\ \\ = > x = \frac{20}{2} \\ \\ = > x = 10[/tex]
Part : Find g(x) by identifying the function you are taking the square root of
Answer:
g(x) = (3x-4)
Step-by-step explanation:
F(x) = sqrt( 3x-4)
We are taking the square root of (3x-4)
so g(x) = (3x-4)
The 6 in 61 represents how many times the value of the 6 in 69?
Which inequality is equivalent to this one?
y minus 8 less-than-or-equal-to negative 2
y minus 8 + 8 greater-than-or-equal-to negative 2 + 8
y minus 8 + 8 less-than negative 2 + 8
y minus 8 + 2 less-than-or-equal-to negative 2 + 8
y minus 8 + 2 less-than-or-equal-to negative 2 + 2
please help very fast! Will mark brainliest!
Answer:
(D) The Last OptionStep-by-step explanation:
Answer:
D
Step-by-step explanation:
LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
IF Quadrilateral ABCD was rotated 90 degrees clockwise about point C, what would be the coordinates of B’?
A) (1, 1)
B) (2, 4)
C) (4, 2)
Answer:
X1,Y1
Step-by-step explanation:
If the Quadrilateral was rotated 90 degrees clockwise around point C, C would still be on the same X line that it is currently on but, point B would also rotate down to that same horizontal line. Between point C and point B there is a space of 3 units, so if that rotated 90 degrees clockwise it would be 3 units to the right of the current position of point C.
Hope this helps!
If there were 500 sheep in the farm and x of them died, but there were 25 left the next day. how many sheep died?
Answer:475
Step-by-step explanation:500-25=475
Answer:
475
Step-by-step explanation:
Number of dead sheep = Total sheep on the farm - sheep left
= 500 - 25
= 475
Hope this helps!
What is the decimal equivalent of the fraction 8/10
Answer:
0.8
Step-by-step explanation:
The fraction 8/10 is 0.8 as a decimal because you divide 8 by 10.
The decimal equivalent of 8/10 is equal to 0.8
What is a decimal number?A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32, etc.
Given here: The proper fraction is given as 8/10
All fractions can be converted into decimals by dividing the numerator by the denominator. For example, the fraction 45 represents 4 out of 5, or 4 divided by 5. This fraction can be converted into a decimal by dividing 4 by 5.
Thus we have 8/10=4/5
=0.8
Hence, the decimal equivalent of 8/10 is equal to 0.8
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Please answer correctly !!!!!!! Will mark brianliest answer !!!!!!!!!!!!!
Answer:
I belive that the correct answer is 32. hope this helps mark me as brianliest????
Step-by-step explanation:
Answer:
missing constant is 36
Step-by-step explanation:
x²-12x+36
because 12x= 2*√x²*√36
so 36 is missing constant
and there is easier way (12/2)² = 36
What can you say about the value of a if the equation y = ax^2 -8 has no solutions?
Tanya and Reece each walked 4 miles on Monday. Reese also walked 4 miles on Tuesday and 4 miles on Wednesday . How many miles did Reece walk
Answer:
12 miles
Step-by-step explanation:
monday=4 miles
tuesday=4 miles
wednesday= 4 miles
4+4+4=12
You buy 1.65 pounds of apples and 1.85 pounds of plums. Apples and plums sell for the same price per pound. The total cost, after using a 65cents-off coupon, is $3.20. If c represents the cost of the fruit in dollars per pound, what equation could you use to find the value of c?
Answer:the value is 20
Step-by-step explanation:
I’ll mark you brainliest!!!! Use the function to find f(-4).
Answer:1/16
Step-by-step explanation:
So I plugged in -4 for x
f(x)=2^-4= 1/16
hope that helps
For the dilation with center (0, 0) shown on the graph, your friend says the scale factor is 4.
Is your friend correct or no? If he is incorrect, What is the correct scale factor? and what mistake did he likely make?