Answer:
− 414.302
(The answer is simplified, you did not specify the way to solve it.)
Tyler says he invented a number puzzle.
He asks Clare to pick a number, and then asks her to do the following:
Triple the number
Subtract 7
Double the result
Subtract 22
Divide by 6
Clare says her final answer is -3. Tyler says her original number she thought must have been 3.
How did Tyler know that? Explain or show your reasoning.
Given that 1 inch = 2.54 cm, how many centimeters are there in 6 feet? Answer may be written using decimal form and should be rounded to the nearest hundredths when necessary.
Answer:182.88cm
Step-by-step explanation:
12in in a foot
12in x 6 ft. = 72in
72in x 2.54cm = 182.88cm
Answer:
182.88
Step-by-step explanation:
6 ft = 72 inches
72(in) x 2.54(cm per inch) = 182.88cm
Help me out please an thank you
When Joseph’s first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his hourly rate increases by $0.50.
Answer:
R(t) = 10 + 0.50t
Step-by-step explanation:
The net of a rectangular prism is shown below. What is the total surface area of the rectangular prism represented by this net?
Answer:
150.88 cm²
Step-by-step explanation:
A rectangular prism also known as cuboid is a three dimensional object with six rectangular faces and eight vertices. It is a prism because it has the same cross section along the length. It is called a rectangular prism because its cross section is rectangular.
The opposite faces of a rectangular prism are equal to each other.
The total surface area (TSA) of a rectangular prism is:
TSA = 2(wl + wh + lh)
where w is the width of the base, l is the length of the base and h is the height of the prism.
From the question, we can see that:
w = 5 cm, l = 7.4 cm and h = 3.1 cm. therefore:
TSA = 2(wl + wh + lh) = 2[(5 * 7.4) + (5 * 3.1) + (7.4 * 3.1)] = 2(37 + 15.5 + 22.94)
TSA = 2(75.44)
TSA = 150.88 cm²
He signed a promissory note with a term of three years the principal was $12,800 with interest at 12.5% how much did BP pay in interest on the note and on the maturity date how much did bo4 principal
Answer:
$48,000
Step-by-step explanation:
Step one:
given data
Principal= $12,800
rate= 12.5%
time = 3 years
Required
The Interest
Step two
SImple interest= PRT/100
substitute
SI= 12800*12.5*3/100
SI=480000/100
SI=$48,000
2x^5-4x^3+6x^8
is this a trinomial with a coefficient of 2 or 6?
Answer:
6
Step-by-step explanation:
Coefficient: A number before the variable such as 4 in 4x.
When there is more than one term with coefficient the leading coefficient is always the one that is in the term with the highest exponent:
2x^5 and 6x^8
^8 is bigger than ^5, so that's the leading coefficient.
Grandma gives 180 marbles to her ten grandchildren. No two children get the same amount of marbles. Betsy gets the most. What is the least number of marbles that Betsy could get?
Answer:
23 marbles
Step-by-step explanation:
Number of children = 10
Number of marbles = 180
Since Betsy gets the most and no 2 children gets the same number of marbles
The least number of marbles Betsy could get will be x ; with the other 9 children receiving 1 less each
That is :
Betsy = x
9th child = x - 1
8th child = x - 2,... 1st child = x - 9
Hence,
(x + x - 1 + x - 2 + x - 3 + x - 4 + x - 5 + x - 6 + x - 7 + x - 8 + x - 9) = 180
10x - 45 = 180
10x = 180 + 45
x = 225 / 10
x = 22.5
x = 23
Hence, the least Betsy could get is 23 marbles
Write an equation in whatever form you choose with the given characteristics Parallel to y = 3/5x - 8 and passes through (0, -3)
Answer (this one's written in slope-intercept form):
[tex]y= \frac{3}{5}x -3[/tex]
Step-by-step explanation:
1) Lines that are parallel to each other have the same slope. The line [tex]y=\frac{3}{5} x-8[/tex] is in slope intercept form, or [tex]y = mx + b[/tex] form, and the number in place of [tex]m[/tex] represents the slope. Knowing this, it looks like [tex]\frac{3}{5}[/tex] is in the place of the [tex]m[/tex] in that equation, so [tex]\frac{3}{5}[/tex] is the slope - and the slope we need to use for the answer, too.
2) Once you know a point that the line must pass through and a slope, you can write an equation with point-slope form, or [tex]y-y_1 = m (x - x_1)[/tex]. [tex]m[/tex] is the slope and [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values of the point it must pass through. So, substitute [tex]\frac{3}{5}[/tex] for [tex]m[/tex], 0 for [tex]x_1[/tex], and -3 for [tex]y_1[/tex]. Simplify and isolate y to put it in slope-intercept form:
[tex]y-(-3) = \frac{3}{5} (x - 0) \\y + 3 = \frac{3}{5} x - 0 \\y = \frac{3}{5} x - 3[/tex]
3) Thus, [tex]y = \frac{3}{5} x - 3\\[/tex] is the answer. It's written in slope-intercept form.
this is freckle math can someone help
Answer: 3x60=180x2=360+6/2=83 but you have to factor that she will sometimes fly backwards . Then after you that into count the answer is (2x6=42=54) now that you take "x" and turn it to 6 yoy get (5,4)
Step-by-step explanation:
The two ordered pairs are (0.05, 0.1) and (0.1, 0.2).
The graph is shown below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
y = 4x
y = number of miles
x = number of hours
4 miles per hour.
Now,
The rate is 2 miles per hour.
This means,
y = 2x
Now,
x = 3 minutes = 3/60 hour = 1/20 hour = 0.05 hour
y = 2 x 1/20 = 1/10 miles = 0.1 miles
The ordered pair is (0.05, 0.1)
x = 6 minutes = 6/60 hour = 1/10 hour = 0.1 hour
y = 2 x 1/10 = 1/5 miles = 0.2 miles
The ordered pair is (0.1, 0.2)
Thus,
The ordered pairs are (0.05, 0.1) and (0.1, 0.2).
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ2
A perfect score in the game is 300 points You get a perfect score if you knock down 120 pins
Find what percent 120 is of 300 then express the percent oa a decimal
1) Click on the measurement that is equal to 24 kilograms.
+) 240 grams
2,400 grams
24,000 grams
240,000 grams
Answer:
24,000
Step-by-step explanation:
Answer:
24,000
Step-by-step explanation:
Every kilogram is 1,000 grams
Kayla and totsakan each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Kayla spent $80 on 8 hostas and 5 shrubs. Totsakan spent $85 on 9 hostas and 5 shrubs, find the cost of one hosta and the cost of obe shrub.
Answer: one hosta = $5
One shrub = $8.
Step-by-step explanation:
Let the cost of one hosta be h
Let the cost of one shrub be s
Kayla spent $80 on 8 hostas and 5 shrubs. This can be written as:
8h + 5s = 80 ..... i
Totsakan spent $85 on 9 hostas and 5 shrubs. This can be written as:
9h + 5s = 85 ..... ii
8h + 5s = 80 ..... i
9h + 5s = 85 ..... ii
Subtract i from ii.
h = 5
The cost of one hosta is $5
Since 8h + 5s = 80
8(5) + 5s = 80
40 + 5s = 80
5s = 80 - 40
5s = 40
s = 40/5 = 8
One shrub cost $8.
PLSSS HELP
Diego earns $10 per hour babysitting. Assume that he has no money saved before he starts babysitting and plans to save all of his earnings. Graph how much money, y, he has after x hours of babysitting.
Answer:
Hey!
Step-by-step explanation:
Legit just like make a graph like this:
10 | 1
20 | 2
30 | 3
And so on and so forth
Peter runs laps on the school track every afternoon. He wants to run no more than 60 minutes a day. He can consistently run each lap in 1.5 minutes. Which inequality best represents the situation and represents x, the greatest number of laps Peter could run in a day?
Answer:
1.5x ≤ 60
Step-by-step explanation:
He wants to run no more than 60 minutes a day
No more than means Less than or equal to with the inequality sign of ≤
Each lap = 1.5 minutes.
The greatest number of laps Peter could run = x
Therefore, the inequality that best represents the situation and represents x, the greatest number of laps Peter could run in a day
1.5 × x ≤ 60 minutes
= 1.5x ≤ 60
Solving for x
1.5x ≤ 60
x ≤ 60/1.5
x ≤ 40 laps
Hence, the Greatest number of laps = x that he can run is 40 laps
need help asap please
Answer:
-3.4
Step-by-step explanation:
-26=10A+8
-26-8=10A
-34=10A
-34/10=A
-3.4=A
Answer:
a= -17/5 or -3.4
Step-by-step explanation:
Move all terms that don't contain a to the right side and solve.
Which relation is a function?
O {(0, -9), (-2, -3), (-2, 0), (-3, -2)}
{(0, -9), (-9, -2), (0, -3)}
O {(0, -9), (-9, 0), (-3, -3)}
O{0, -9, -2, -3)
Answer: O {(0, -9), (-9, 0), (-3, -3)}
Step-by-step explanation:
solve for y. will give brainiest
Answer:
y = 81°
Step-by-step explanation:
let the 5 th angle in the pentagon be x
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5, then
sum = 180° × 3 = 540°
sum the angles and equate to 540
x + 95 + 125 + 116 + 105 = 540
x + 441 = 540 ( subtract 441 from 540 )
x = 99°
x and y are adjacent angles and supplementary, sum to 180° , that is
x + y = 180°
99° + y = 180° ( subtract 99° from both sides )
y = 81°
Josh works 40 hours a week and earns $10 an hour. Calculate Josh’s total earnings and place your answer in the paycheck.
Answer:
He earns $400 weekly and $57.14
Step-by-step explanation:
40*10 = $400
If 5-x=3 then what is 3x^2
• Solution:-
➪ 5 - x - 3 = 0
➪ 5 - 3 - x = 0
➪ 2 - x = 0
➪ 2 = x
Hence, x = 2
Now,
✯ 3x²
➪ 3 × (2)²
➪ 3 × 4
➪ 12Therefore, 3x² will be = 12.
Solve the equation.
x/-2-17=-7
A.) 48
B.) –2
C.) 14
D.) –20
Two cruise ships leave the same port with a 35° angle between their path. Cruise A is traveling at 18 miles per hour and Cruise B is traveling at 15 miles per hour. If they travel in a straight path, find the distance between the cruise ships after 2 hours
Answer:
[tex]20\:\mathrm{miles}[/tex]
Step-by-step explanation:
After travelling two hours, the two cruise ships form a triangle. One of the legs of this triangle will be the distance Cruise A travelled, and another will be the distance Cruise B travelled. We can find the distance they travel using:
[tex]s=\frac{d}{t}, d=s\cdot t[/tex]
Cruise A is travelling at 18 miles per hour for 2 hours. Therefore, Cruise A has travelled:
[tex]d=s\cdot t=18\cdot 2=36\:\mathrm{miles}[/tex]
Cruise B is travelling at 15 miles per hour for 2 hours. Therefore, Cruise B has travelled:
[tex]d=s\cdot t=15\cdot 2=30\:\mathrm{miles}[/tex]
Because we are given the angle between these legs, we can use the Law of Cosines to find the third leg. The Law of Cosines is given by:
[tex]c^2=a^2+b^2-2ab\cos C[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are interchangeable. Let [tex]c[/tex] represent the distance between the two cruises. We have:
[tex]c^2=36^2+30^2-2\cdot36\cdot30\cdot \cos 35^{\circ},\\c^2=426.63,\\c\approx \fbox{$20\:\mathrm{miles}$}[/tex](one significant figure).
9514 1404 393
Answer:
20.7 miles
Step-by-step explanation:
The distance that A travels in the same direction as B is ...
(18 mi/h)(2 h)cos(35°) = 29.489 mi
So, the difference in distances in that direction is ...
(15 mi/h)(2 h) -29.489 mi = 0.511 mi
__
The distance A travels in the direction perpendicular to B is ...
(18 mi/h)(2 h)sin(35°) = 20.649 mi
So, the straight-line distance between the ships is the hypotenuse of the right triangle with these distances as legs:
AB = √(0.511² +20.649²) = √426.632 . . . miles
AB = 20.655 miles ≈ 20.7 miles . . . separation after 2 hours
a. A new restaurant owner purchased ads
to run in the paper over several days. She
1
1
5
bought two
-page ads, nine
20
-page ads,
1
and five 4 -page ads. What was the total
amount of space that
What is the value of arccos(sin(5pi/4))
Step-by-step explanation:
arccos(sin(5π/4))
= arccos(sin(-π/4))
= arccos(-√2/2)
= 3π/4.
The value of trigonometric function arccos(sin(5π/4)), π/4
What is trigonometry?Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.
There are 6 commonly used functions in trigonometry with their name and abbreviations-
sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)
First, we can use the trigonometric identity sin(θ) = cos(π/2 - θ) to rewrite this expression:
sin(5π/4) = cos(π/2 - 5π/4)
Next, we can use the fact that cos(x) is an increasing function on the interval [0, π], so cos(x) is unique on this interval for each value of x.
This means that the inverse cosine function, arccos, is also unique on the interval [0, π].
Therefore, we can conclude that:
0 ≤ π/2 - 5π/4 ≤ π
arccos(sin(5π/4)) = π/2 - 5π/4 = π/4.
So the answer is π/4 in radians.
To know more about trigonometry check:
https://brainly.com/question/29002217
#SPJ5
5. Order from least to greatest.
4996,
10
48%
3. 41
0.408,
7100
Answer:
0.408
48%
3.41
10
4996
7100
Step-by-step explanation:
Answer:
It should be 0.408, 48%( which is equal to 0.48), 3.41,10,4996,and 7100
Step-by-step explanation:
Help Asap 15points pic below
Answer:
[tex]\frac{1}{r^{10} }[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] ( with n > m )
= [tex]\frac{1}{a^{(n-m)} }[/tex]
Then
[tex]\frac{r^{2} }{r^{12} }[/tex]
= [tex]\frac{1}{r^{(12-2)} }[/tex]
= [tex]\frac{1}{r^{10} }[/tex]
This recipe makes 4 portions of porridge.
Complete the amount of each ingredient that is needed to make just 3 portions.
Recipe: Serves 4
240 g oats
1.2 L milk
60 g sugar
Can someone help
Answer:
180 g oats
0.9 L milk
45 g sugar
Step-by-step explanation:
those are all divided by 3/4 making just 3 portions :D
PLS help!!
Function 1 is defined by the equation d=-3/7t-4
Function 2 is defined by the following table.
Which Function has a more negative slope?
O function 1
O function 2
O both have the same slope
Answer:
function 2
Step-by-step explanation:
Answer:
Function 2
Step-by-step explanation:
Ryan buys landscape supplies that total $179.92 before tax. The sales tax amount is $14.39. What percent sales tax did Ryan pay?
Answer:
Step-by-step explanation:
thx for the points
A sporting goods store sold 2.5 times as many footballs as basketballs last year. Drag to represent the number of footballs sold for every 2 basketball sold
Answer:
5 units of football
Step-by-step explanation:
Given that :
2.5 times as many footballs as basket balls is sold;
This means that ; for every unit of basketball sold 2.5 times that unit is the number of football sold ;
Hence, for every 2 basket balls sold, the number of units of football sold is ;
2 * 2.5 = 5 units