Answers
Answer:
32/9
Step-by-step explanation:
2 to the fifth power is 32. 3 to the second power is 9.
Related Questions
A customer goes to a bank and gets change for a $100 bill. The change is to be in $1, $5, and $10 bills. There were four times as many $5 bills as $10 bills. If there are 25 bills in all, how many are $5 bills?
Answers
Answer:
12
Step-by-step explanation:
x = number of $1 bills
y = number of $5 bills
z = number of $10 bills
We know that:
x + y + z = 25 (total amount of bills)
x + 5y + 10z = 100 (total amount of money)
y = 4z (Given)
Substitute the third equation into the first one.
x + 4z + z = 25
x = 25 - 5z
Put this into the second equation.
(25 - 5z) + 5 (4z) + 10z = 100
Simplify and solve.
25 - 5z + 20z + 10z = 100
25z + 25 = 100
25z = 75
z = 3
Substitute this into y = 4z
y = 4 * 3
y = 12
So, there are 12 $5 bills.
Answer:
12 $5 bills
Step-by-step explanation:
Represent the number of each kind of bill by x, y and z: there are x $1 bills, y $5 bills and z $10 bills.
According to the problem statement,
x + y + z = 25 and y = 4z (or z = y/4). Also, the values of the bills add up to $100:
($1)x + ($5)y + ($10)z = $100. Eliminate z by typing y/4 in its place:
x + y + (y/4) = 25 and
x + 5y + 10(y/4) = 100
Doing this has reduced the number of variables to two: x and y. Combining like terms in both equations, we get:
1x + (5/4)y = 25 and
1x + (30/4)y =100
Subtracting the 1st equation from the 2nd, we get:
(25/4)y = 75, or
(4/25)(25/4)y = (4/25)(75) , or y = 12.
If y = 12, z = 12/4, or 3.
Then x + 12 + 3 = 25 coins in all; therefore, x = 15 = 25, and x = 10
There are 10-$1 bills, 12-$5 bills and 3-$10 bills.
Select all number combinations that COULD make a triangle
4 cm, 5 cm, 7 cm
5 cm, 6 cm, 11 cm
2 cm, 9 cm, 10 cm
3cm, 4 cm, 10 cm
Answers
Answer:
2 cm, 9 cm, 10 cm
Step-by-step explanation:
To know if a combination is a triangle all you have to do is see if the combinations add up to 180
(2)(9)(10)=180 therefore it is a triangle.
All the other angles do not add up to 180 so they can't be triangles!!
(4)(10)(3) =120
(5)(6)(11) =330
(4)(5)(7) =140
Jane went shopping for a new bike the bike store had an electric bike originally priced at $1500 but the only said that she could have a reduction in price of the bike by 20% what is the reduced price after Jane will pay?
Answers
...............
Translations, rotations, and reflections are rigid transformations. What can you conclude about the measures of sides and angles on any triangle after undergoing a series of rigid transformations? Explain.
Answers
Answer:
After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.
After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.
After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.
Step-by-step explanation:
Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.
Answer:
They are all congruent or equal. The angles and side lengths are preserved through the rigid transformations.
Step-by-step explanation:
That’s what i put
Enter in the missing numbers to create equivalent ratios. HELPPPPPPPPPPPPPPPPPPPP
Answers
The amount of television viewed by today's youth is of primary concern to Parents Against Watching Television (PAWT). 300 parents of elementary school-aged children were asked to estimate the number of hours per week that their child watched television. The mean and the standard deviation for their responses were 16 and 4, respectively. PAWT constructed a stem-and-leaf display for the data that showed that the distribution of times was a bell-shaped distribution. Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.
A) between 12 and 20 hours per week
B) between 8 and 24 hours per weelk
C) between4 and 28 hours per week
D) less than 12 and more than 20 hours per week
Answers
Answer:
B) between 8 and 24 hours per week
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 16, standard deviation of 4.
Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.
Within 2 standard deviations of the mean, so:
16 - 4*2 = 16 - 8 = 8 hours per week.
16 + 4*2 = 16 + 8 = 24 hours per week.
This means that the correcgt answer is given by option B.
Which choice is equivalent to the expression below?
(-4)-5
Answers
For every 1000 videos it makes £2 from ad revenue.
How many videos are required to make £25
Answers
Step-by-step explanation:
If you divide 1,000 by 2 since there are £2, you get 500. Multiply 500 by 25 and you got it!
(the answer would be 12,500)
1. Nasir borrowed $420 for six months with $77 monthly payments.
How much interest will he pay on this loan?
$77
$57
$52
$42
2. Casey borrowed $814 for nine months, with payments of $105.50 monthly.
What will he pay in interest?
$103.16
$105.80
$122.40
$135.50
Answers
Answer: 52 and 793.25
Step-by-step explanation:
Answer:
1: 52
2: 105.80
Step-by-step explanation:
What is the location of the point on the number line that is 3/5 of the way from
A = 2 to B = 17?
O A. 12
O B. 10
C. 9
O D. 11
Answers
The location of the point on the number line that is 3/5 of the way from A = 2 to B = 17 is 11
How to determine the location of the point?The points are given as:
A = 2
B = 17
Point = 3/5
The location of the point is then calculated as:
Point = A + 3/5(B - A)
So, we have:
Point = 2 + 3/5(17 - 2)
Evaluate the product
Point = 2 + 9
Evaluate the sum
Point = 11
Hence, the location of the point on the number line that is 3/5 of the way from A = 2 to B = 17 is 11
Read more about number lines at:
https://brainly.com/question/4727909
#SPJ1
What is the equation of the graph below? y=1/2sinx y=1/2cosx y=1/2sin2x
Answers
9514 1404 393
Answer:
(d) y = 1/2sin(2x)
Step-by-step explanation:
The sin(x) function will have a maximum value of 1 and a period of 360°. The function plotted is a sine function with a maximum value of 1/2 and a period of 180°.
For a function g(x) = a·f(b·x), the vertical scale factor is 'a', and the horizontal compression factor is 'b'. Our sine function has a vertical scale factor of 1/2, and a horizontal compression of 360/180 = 2, so the transformed function is ...
y = 1/2sin(2x)
A shoe store uses a 60% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of 51
$?
Answers
Answer:
33.33 percent
Step-by-step explanation:
$88
Step-by-step explanation:
55 increase 60%=
55x(1+60%)=55x(1+0.6)=88
(HElP) which answers describe the shape below?
Answers
I think it would be A, B, D and E.
∠DGC and ∠CGB are □ angles.Adjacent
Adjacent
Complementary
Supplementary
Vertical
Answers
Answer:
They are adjacent angles
If the band sells 100 series A ticket and 13000 series B tickets they will earn $865000. Write an equation to represent this situation.
Answers
Answer:
100x + 13000y = 865000
Step-by-step explanation:
x = Series A price
y = Series B price
A rectangular prism has a volume of 192 cubic inches the prism is 4 inches wide.....
Answers
Answer:
6 inches
Step-by-step explanation:
the formula for the volume of a rectangular prism is width*length*height.
Here we are asked to find the height when given a volume. The resultant equation is:
volume = w * l * h
192 cu.in. = 4in*8in*h(inches), simplify the equation by dividing each side by 32 (which is 4*8) to yield:
192 cu.in./32 sq.in.= h inches
6 inches = height
Ten years ago, Scott bought a board game for $30. That board game has now increased it's value by 83%.
100
What would be the price of that game now?
Answers
Answer:54.9
Step-by-step explanation:
5x - 2y = 15
2x + 4y = 12
Select the solution to the system from the options below:
Answers
Answer:
7/2, 5/4
Step-by-step explanation:
Answer:
x = 7/2 and y = 5/4
Step-by-step explanation:
2(5x - 2y = 15)
2x + 4y = 12
10x - 4y = 30
2x + 4y = 12 (add)
-----------------
12x = 42
x = [tex]\frac{42}{12}[/tex] = [tex]\frac{7}{2}[/tex]
2x + 4y = 12 (subsitute)
2([tex]\frac{7}{2}[/tex]) + 4y = 12
7 + 4y = 12
4y = 5
y = [tex]\frac{5}{4}[/tex]
A class survey provides the data shown.
1, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 11
Which box plot represents the class?
Answers
What is the product of 3/4 multiplied by x = 1/2?
Please dont do a file or link, just the straight up answer, thanks.
Answers
The point-slope equation of a line is
A. y + x - Xoyo = m
B. y= m(x - Yo)
O C. y+ mx - mxoyo
D. y-yo = m(x- xo)
Answers
Answer:
[tex]y - y_1 = m(x - x_1)[/tex]
Step-by-step explanation:
Given
A to D
Required
Which is the point slope equation
The point slope form of a coordinate pair is:
[tex]y - y_1 = m(x - x_1)[/tex]
Hence, (d) is correct
Use what you know about triangles to classify this triangle.
a triangle with three equal angles and three equal sides
Question 1 options:
Acute isosceles triangle
Obtuse scalene triangle
Equiangular triangle
Obtuse isosceles triangle
Answers
Answer: C equilateral triangle
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
i did the test :)
slope of a line that goes through points (-8,0) and (0,6)
Answers
Answer:
3/4
Step-by-step explanation:
slope = rise / run
slope = ∆y/∆x
slope = (y2 - y1) / (x2 - x1)
slope = (6 - 0) / ( 0 - -8)
slope = 6/8
slope = 3/4
The function H(t) = −16t2 + 90t + 50 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 28 + 48.8t, where g(t) is the height, in feet, of the object from the ground at time t seconds.
Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know?
Part B: Explain what the solution from Part A means in the context of the problem.
Answers
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answers
Answer: 4.12 km
Step-by-step explanation:
Use the Pythagorean theorem. Name the hypotenuse (longest side) c and the bottom side b. Then, simplify and solve for a.
a^2 + b^2 = c^2
a^2 + 8^2 = 9^2
a^2 + 64 = 81
a^2 = 17
a = square root of 17 or approx. 4.12
Please give brainliest!
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
Answers
Answer:
Y=2x+4
Step-by-step explanation:
Y=Mx+b is the slope intercept formula
subtract 2x so you get -y=-2x-4. Then divide everything by-1 .
URGENT PLZ HELP
use the graph to write an equation of the line
Answers
If you are referring to the diagonal line on the graph but if your talking about the vertical line it would be y=0 I think and the horizontal line would be y=x I think
Jada makes sparkling juice by mixing 2 cups of sparkling water with every 4 cups of apple juice . How much apple juice does Jada need if she uses 6 cups of sparkling water?
Answers
Answer:
3 cups of sparkling water
Step-by-step explanation:
So the ratio is 2:4=?:6
Setting them equal to each other, you'll divide 6 by 4
You get 1.5, then multiply 2 by 1.5 to get 3
A triangle has base 4 cm
and height 9 cm, What is its
area
Answers
A= hb/2 = 9·4/2 = 18
Answer:
18 cm^2
Step-by-step explanation:
Formula for area of triangle: bh/2
4x9=36
36/2=18
P varies inversely with the square of Q. When Q is 8, P 9. Find the value of P when Q is 3.
Answers
Answer:
P
[tex] \alpha [/tex]
1/q²
P=k/Q²
K=P×Q²
Where P=9
Q=8
K=?
K=9×8²
K=9×64
K=573
So where K= 573
Q=3
P=?
P=K/Q²
P=573/3²
P=573/9
P=63.67