Answer:
y=76+2.5x where y is the amount he earns in a day and x is the number of tshirts sold
y=76+2.5(32)
y=76+80
y=156
he earns 156 dollars if he sold 32 tshirts
Step-by-step explanation:
Sophia drops her pencil in a cup and
notices that it only fits diagonally.
The pencil is 10 centimeters long and the
cup is 8 centimeters tall.
What is the diameter of the cup?
Answer:
5cm
Step-by-step explanation:
Since the pencil would only fit diagonally, the diameter would have to be half its length. The pencil is 10 centimeters long and 5 centimeters would be half of it.
Note:
Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.
-kiniwih426
Which of the following is an equivalent trig ratio for tan 28
Cos 62
1/ tan 62
1/ tan152
Cos 28
Answer:
B
Step-by-step explanation:
tan28=tan (90-62)=cot 62=1/tan 62
according to a survey, the population of a city doubled in 12 years.
The annual rate of increase of the population of this city is approximately _____. The population will grow to three times its current size in approximately ______.
First box of answers: 2.50, 5.78, 12.0, 50.0
Second box of answers: 18, 19, 23, 24.
Answer:
5.78
19
Step-by-step explanation:
Let original population be, P = x
Growth in 12 years, A = 2x
Rate be = r
Time = 12years
Find the rate :
[tex]A = P(1 + \frac{r}{100})^t[/tex]
[tex]2x = x(1 + \frac{r}{100})^{12}\\\\\frac{2x}{x} =(1 + \frac{r}{100})^{12}\\\\2 = (1 + \frac{r}{100})^{12}\\\\ \sqrt[12]{2} = (1 + \frac{r}{100})\\\\\sqrt[12]{2} - 1 = \frac{r}{100}\\\\2^{0.08} - 1 = \frac{r}{100}\\\\1.057 - 1 = \frac{r}{100}\\\\0.057 \times 100 = r\\\\r = 5.7 \%[/tex]
The annual rate of increase of the population of this city is approximately 5.78.
Find time in which the population becomes 3 times.
That is A = 3x
P = x
R= 5.78%
[tex]A = P( 1 + \frac{r}{100})^t\\\\3x = x ( 1 + \frac{5.78}{100})^t\\\\3 = (1.0578)^t\\\\log \ 3 = t \times log \ 1.0578 \\\\t = \frac{log \ 3}{ log \ 1.0578 }\\\\t = 19.55[/tex]
The population will grow to three times its current size in approximately 19years .
5.78% ,19 years are the answers.
2=(1+r)^12
r=(2)^(1÷12)−1
R=0.0578*100=5.78%
3=(1+0.0595)^t
t=log(3)÷log(1.0595)
t=19 years
What is an exponential growth model?
Exponential growth and exponential decay are two of the most common uses of exponential functions. Systems with exponential growth follow a model of the form y = y0ekt. In exponential growth, the growth rate is proportional to the amount present. In other words, for y'= ky
exponential function, multiply a by x to produce y. The exponential graph looks like a curve that starts with a very flat slope and becomes steep over time.
The exponential model, like the sphere model, starts at the origin and operates linearly near it. However, the increasing slope of the curve is less than the slope of the spherical model.
Learn more about exponential function here:https://brainly.com/question/2456547
#SPJ2
The sum of a number and its square is 12 . Find the number
Answer:
Two solutions
3
-4
Step-by-step explanation:
3 + 3²
3 + 9 = 12
-------------------
-4 + (-4)²
-4 + 16 = 12
HELP ME PLEASE DUE SOON!!!!!! WILL MARK BRAINLIEST
Solve for x
Show work
Answer:
10x is equal to 100 so 100+6=106
then
Step-by-step explanation:
4x is equal to 8 so 4+18=22
so it's 128
Adam is refinishing his basement. 30 ft by 50 ft are the dimensions of Adam's rectangular basement. How much tile would he need to cover the floor? If the height of the basement is 6 ft, how much wall area is there to paint?
Answer:
Area of four walls is 3960 square feet.
Step-by-step explanation:
length, L = 30 ft
Width, W = 50 ft
height, H = 6 ft
The area of walls is
= 2 (L W + W H + H L)
= 2 (30 x 50 + 50 x 6 + 6 x 30)
= 2 (1500 + 300 + 180)
= 3960 square feet
Answer/Step-by-step explanation:
How much tile would he need to cover the floor?
Answer: 1500 Ft^2
If the height of the basement is 6 ft, how much wall area is there to paint?
Answer: 960 Ft^2
- - - - - - - - - - - - - - - - - - - - - - - - -
Answer:
x = ±3 sqrt(2)
Step-by-step explanation:
x^2 = 18
Take the square root of each side
sqrt(x^2) = sqrt(18)
x = ± sqrt(18)
x =±sqrt(9*2)
x = ±sqrt(9) sqrt(2)
x = ±3 sqrt(2)
A salesman is paid $450 a week, plus a commission of 35 cents for every item that he sells. Write a linear function where the paycheck, P, of the salesman is a function of the number, N, of items he sells. If the salesman only has 1400 items available to sell each week, find the domain and range of the function.
Answer:
Step-by-step explanation:
1400×0.35
490+450
940
Answer:
The domain is thus [0, 1400].
The range is thus [$450, $940]
Step-by-step explanation:
A suitable function is P(N) = ($450) + ($0.35 / item)*N, where $450 is the base pay per week and N is the number of items sold.
In this case the salesman has only 1400 items available to sell each week. Therefore N begins at 0 (no items to sell) and ends at 1400 (the max number of items available to sell). The domain is thus [0, 1400].
The smallest amount the salesman could receive would be when he has not sold any items: $450.
The max amount is then $450 + ($0.35/item)(1400 items), or
$450 + $490, or
$940
The range is thus [$450, $940]
The circumference of a circle is 8.34cm. Find the length of the diameter. Give your answer rounded to 2 DP.
Answer:
Diameter, D = 2.65 cm
Step-by-step explanation:
Given the following data;
Circumference of circle = 8.34 cm
To find the length of its diameter;
Mathematically, circumference of a circle is equal to;
C = πD
Where;
C is the circumference of a circle.D is the diameter of a circle.Pie, π = 3.142Substituting into the formula, we have;
8.34 = 3.142 * D
[tex] D = \frac {8.34}{3.142} [/tex]
Diameter, D = 2.65 cm
The isosceles triangle and the rectangle have equal perimeters. The triangle has x+5 on the left side. On its base it has x. The rectangle has x-1 on the left side. On the bottom, it has x+4.
Answer:
The value of x is 4.
Step-by-step explanation:
The perimeter of the triangle is the sum of the lengths of all its sides.
The perimeter of the rectangle is twice the sum of the length and the width.
base of triangle = x
two equal sides = x + 5
length of rectangle = x - 1
width of rectangle = x + 4
According to the question,
Perimeter of triangle = perimeter of rectangle
x + x + 5 + x + 5 = 2 ( x - 1 + x + 4)
3 x + 10 = 2 (2 x + 3 )
3 x + 10 = 4 x + 6
4 x - 3 x = 10 - 6
x = 4
Darius has a 6 month loan for $500. He must pay 5.6% annual interest on the loan. Using the formula for simple interest, I=Prt, where I is interest owed, P is the amount borrowed, r is the rate as a decimal, and t is time in years, find the amount of interest owed by Darius after 6 months
A. $16.80
B. $140
C. $168
D. $14
Answer:
14
Step-by-step explanation:
1. In Tagaytay Picnic Groove, a horse ride costs P 120.00 per person for the first 30
minutes and P 50.00 for every additional 10 minutes. If you spent P 270.00 for a
horse ride, for how long did you ride?
If a square table can fit 8 people and a round table can fit 6 people, the equation 150= 8x + 6y , if Y =9 what is the value of x ? The committee needs how many square tables?
Answer:
The committee needs 12 square tables!
Step-by-step explanation:
[tex]8x+6y=150[/tex]
[tex]y=9[/tex]
[tex]8x+6(9)=150[/tex]
[tex]8x+54=150[/tex]
[tex]-54[/tex] [tex]-54[/tex]
[tex]8x=96[/tex]
[tex]/8[/tex] [tex]/8[/tex]
[tex]x=12[/tex]
Hope this helps!
the dishes have been cleaned by us into active voice
Answer:
the dishes sparkled after we washed them.
Step-by-step explanation:
helppppppppppppppppppppppp
Answer:
gotta be answer A
Step-by-step explanation:
you can search up f(x) = square root of x
Pls help me with this
Answer:
5.85
Step-by-step explanation:
100%-> 6.50
100%-10% = 90 %
90%-> 6.50/100 x 90
=5.85
Which correctly uses bar notation to represent the repeating decimal for
fi
O 0.54
O 05454
O 054
O 0.545
Frank earned f dollars mowing lawns. Bryce's earnings, b, were $15.25 less than 3.5 times as
much as Frank's earnings. Which of the following equations best represents this situation?
A. b = 3.5f + 15.25
B. f= 3.5b - 15.25
C. b = 3.5f-15.25
D. f = 3.5b + 15.25
Which inverse of the difference of 1/3 - 1/4?
Answer:
0/1
Step-by-step explanation:
Which expressions are equivalent to One-half + 3 c + StartFraction 4 Over 5 EndFractionCheck all that apply.
Answer:
(13+30c)/10
Step-by-step explanation:
Given the expression;
1/2 + 3c + 4/5
Find the LCM
= 5(1)+10(3c)+2(4)/10
= (5+30c+8)/10
= (13+30c)/10
Hence the required sum is (13+30c)/10
PLEASE HELPP MEEE ASAPPPPP
Answer:
D) 24,32,40
Step-by-step explanation:
Sense this is a right triangle, I will use the Pythagorean theorem to solve this problem. Use the following formula: a^2 + b^2 = c^2. 40 would be c. 40 x 40 = 1600. 32 x 32 = 1024. 24 x 24 = 576. Since 576 + 1,024 equals 1600, this means the answer would be D. Remember, that you can only use the Pythagorean Theorem method on right triangles.
1,600 = 576 + 1024.
Note:
Pls notify me if my answer is incorrect, for the other users that will see this message.
-kiniwih426
The volume of this cone is 83.7 cubic meters. Find the DIAMETER. SHOW ALL WORK
There for the diameter is 2(4.8 )= 9.6 ft
Given: Volume of the cone is 83.7 m³
We know that:
[tex]\bigstar \ \ \boxed{\sf{\textsf{Volume of cone is given by} : \dfrac{\pi r^2h}{3}}}[/tex]
where r is the radius of the cone and h is the height of the cone
Given: Height of the cone = 5m
Substituting the values in the formula, we get:
[tex]\sf{\implies \dfrac{\pi r^2(5)}{3} = 83.7}[/tex]
[tex]\sf{\implies \pi r^2 = 83.7 \times \dfrac{3}{5}}[/tex]
[tex]\sf{\implies \pi r^2 = 83.7 \times 0.6}[/tex]
[tex]\sf{\implies \pi r^2 = 50.22}[/tex]
[tex]\sf{\implies r^2 = \dfrac{50.22}{\pi}}[/tex]
[tex]\sf{\implies r^2 = 16}[/tex]
[tex]\sf{\implies r = 4}[/tex]
We know that : Diameter is two times the radius
⇒ Diameter of the Cone is 8 meters
Please answer this fasttt
Taxi A charges a fee of $3.50, plus $1.75 per mile. Taxi B charges a few of $1.25, plus $2.00 per mile. At what distance would the taxi cost the same?
BRAINLIEST IF CORRECT You choose a movie at random from a list containing 8 comedy movies, 5 science fiction movies, and 7 adventure movies. What is the theoretical probability that the movie is not a comedy?
Select all that apply.
0.60
50%
252 fifths
353 fifths
60%
Answer:
0.60 & 60%
Step-by-step explanation:
Find the mean, median, mode, range.
Answer:
1. mean: 5
2. median: 6
3. mode: 80% or 8
4. range: 7
Step-by-step explanation:
Answer:
mean = 5
median = 6
mode = 80%(aka 8)
range = 7
Step-by-step explanation:
A swimmer breaks a world record by 0.07 seconds. The old record was 49.51 seconds. What is the swimmer's new world record?
a. 49.58 seconds
b.49.44 seconds
c.48.81 seconds
d.48.58 seconds
Answer:
B
Step-by-step explanation:
Simply subtract 0.07 from 49.51 too get 49.44.
Hope that this helps!
A function g is described below:
· g(2) = 2 ( 23 – 3) = 5
• domain is all real numbers greater than 0
The range of g is all real numbers greater than or equal to
Answer:
A≈1075.21
d Diameter
37
d
r
r
r
d
d
C
A
Using the formulas
A=
π
r
2
d=
2
r
Solving forA
A=
1
4
π
d
2
=
1
4
π
37
2
≈
1075.21009
Step-by-step explanation:
Find a round to the nearest tenth 12 22 75 x x=?
Answer:
By law of Sines[tex]\frac{Sin75^o}{22} =\frac{Sinx}{12}[/tex][tex]\frac{Sin75}{22}(12)=\frac{Sinx}{12} (12)[/tex][tex]0.5268=Sinx[/tex][tex]Sin^(0.5268)=x[/tex][tex]x=31.789[/tex][tex]x=31.79^o[/tex]-----------------------hope it helps..have a great day!!