Answer:
She can feed her rabbit for 60 days!
Step-by-step explanation:
Turn 20 into a fraction:
[tex]\frac{20}{1}[/tex]
Make sure it has the same denominator:
(Remember: what you do to one side, you must do to the other)
[tex]\frac{20}{1} *\frac{3}{3}= \frac{60}{3}[/tex]
This means that if the rabbit eats 1/3 of a pound a day, she will be able to feed her rabbit for 60 days.
5) What is the lowest form of ratio for 84:99
The lowest form of the ratio 84 : 99 is 28 : 33.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, A ratio 84 : 99.
The lowest form of the ratio is when it can not be simplified further.
∴ 84 : 99.
= 28 : 33
learn more about proportion here :
https://brainly.com/question/7096655
#SPJ6
On a famous episode of Star Trek, Captain Kirk and the gang played a card game called Phisbin. This problem is about another game, called Frisbin. The object of Frisbin is to throw three Frisbees at three different-sized bins that are set up on the ground about 20 feet away from the player. If a Frisbee lands in the largest bin, the player scores 1 point. If a Frisbee lands in the medium-sized bin, the player scores 5 points. If a Frisbee lands in the smallest bin, the player scores 10 points. Kirk McCoy is playing the game. If all three of his Frisbees land in bins, how many different total scores can he make?
Answer:
10 different possible scores
Step-by-step explanation:
the total possible scoring combinations are:
large bin (1) medium bin (5) small bin (10) score
3 0 0 3
2 1 0 7
2 0 1 12
1 2 0 11
1 0 2 21
1 1 1 16
0 3 0 15
0 2 1 20
0 1 2 25
0 0 3 30
Using the principle of combination, the number of different total scores that can be made is 10.
Using the combination relation which includes repetition :
[tex] \binom{n + k - 1}{k} [/tex]n = number of Frisbee = 3 k = number of bins = 3Substituting the values into the formula :
[tex] \binom{3 + 3 - 1}{3} = \binom{5}{3} [/tex]
Using the combination formula :
[tex]nCk = \frac{n!}{(n-k)!k!}[/tex]
[tex]5C3 = \frac{5!}{(5-3)!3!}[/tex]
[tex]5C3 = \frac{5!}{2!3!}[/tex]
[tex]5C3 = \frac{5 \times 4}{2} = \frac{20}{2} = 10[/tex]
The number of different total scores that he can make is 10.
Learn more :https://brainly.com/question/19299862
What’s 19,975 divided by 25 show your work
the answer to the question is 799
A new four way intersection is being constructed in New York Hyde park through point P(-3,-15) an equation of the line representing one road is y = -3/4x + 7 create an equation of the line representing the new road that will run perpendicular to the first road
Given:
A new four way intersection is being constructed in New York Hyde park through point P(-3,-15).
Equation of line of one road : [tex]y=-\dfrac{3}{4}x+7[/tex].
New road that will run perpendicular to the first road
To find:
The equation of line for the new road.
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
We have,
[tex]y=-\dfrac{3}{4}x+7[/tex]
Slope of this line is [tex]-\dfrac{3}{4}[/tex] and y-intercept is 7.
Product of slopes of two perpendicular line is -1.
[tex]m_1\times m_2=-1[/tex]
[tex]-\dfrac{3}{4}\times m_2=-1[/tex]
[tex]m_2=\dfrac{4}{3}[/tex]
The point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
The slope of new line is [tex]\dfrac{4}{3}[/tex] and it passes through P(-3,-15). So, the equation of line of new road is
[tex]y-(-15)=\dfrac{4}{3}(x-(-3))[/tex]
[tex]y+15=\dfrac{4}{3}(x+3)[/tex]
[tex]y+15=\dfrac{4}{3}x+4[/tex]
Subtract 15 from both sides.
[tex]y=\dfrac{4}{3}x+4-15[/tex]
[tex]y=\dfrac{4}{3}x-11[/tex]
Therefore, the equation of the line representing the new road is [tex]y=\dfrac{4}{3}x-11[/tex].
Solve x^2 = 64, where x is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
Answer:
x=8
Step-by-step explanation:
8 times 8 equals 64
Can somebody please help with this?
Answer:
x=8°
y= 96°
z= 96°
Step-by-step explanation:
Solve for z first. The whole circle is 360° so if you only count half the angles it will add up to 180°.
Solve for z:
48+36+z=180°
84+z+180°
z=96°
Now that you have z you can solve for x by using only the bottom half of the circle.
z+36+6x=180° *remember z=96
96+36+6x=180
132+6x=180
6x=48
x=8°
Now you can solve for y by either plugging x into an equation or by knowing that opposite angles are equal.
y=96°
Regina buys materials to make watches for a jewelry fair. The materials are sold separately; there are 6 watch faces sold per package and 10 watch bands sold per package. What is the LEAST number of watches Regina can make WITHOUT having any supplies left over?
Answer:
The LEAST number of watches Regina can make WITHOUT having any supplies left over is 30 watches
Step-by-step explanation:
Regina buys materials to make watches for a jewelry fair. The materials are sold separately; there are 6 watch faces sold per package and 10 watch bands sold per package. What is This question has to do with Lowest Common
Step 1
We find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.
Multiples of 6:
6, 12, 18, 24, 30, 36, 42
Multiples of 10:
10, 20, 30, 40, 50
Therefore,
LCM(6, 10) = 30
The LEAST number of watches Regina can make WITHOUT having any supplies left over is 30 watches
Answer:
30
Step-by-step explanation:
Given that :
6 watch faces per package and 10 watch bands per package :
To obtain the least number of watches that can be made without any supplies left over, we take the Least common multiple ( L. C. M) Of 6 and 10
_2__|6___|10
_3__|3___|5
_5__|1___ |5
____|1___|1
Lowest common multiple = (2 * 3 * 5). = 30
Write as an expression or an equation: Two times a number plus six equals 16.
help please
Answer:
2x10+6=16
that's the equation
the expression doesn't have an answer so it would look like this:
2x10+6
select the story problem that this this division problem represents 3/4 divided by 1/3
Answer:
3/4 divided by 1/3 would equal 2 1/4 or 2.25.
PLEASE HELP ME I NEED THIS DONE TODAY!!!
Taylor swam 3 different heats in the 100m freestyle. The first heat was 29.1 seconds,the second heat was 28.7 seconds, and the third heat was 27.2 seconds. What was the difference between her best time and her worst time?
Answer:
16.5 you have to add the divde
Find the x - intercept and y - intercept of 3x + 27= y
Answer:
x-intercept is (-9,0)
y-intercpt is (0,27)
Step-by-step explanation:
you have to subsitute x and y from zero then you go from there
Answer:
Y-intercept (0,27)
X- intercept (-9,0)
Step-by-step explanation:
To find X - intercept, substitute in 0 for y and solve for X. To find Y-intercept, substitute in 0 for x and solve for y.
Y= 3x plus 27
Y = 3(0) plus 27
Y = 0 plus 27
Y = 27 The Y-intercept (0,27)
Y = 3x plus 27
0 = 3x plus 27
0 - 27 = 3x
-27 = 3x
divide by boyh side to 3 and X will be -9
Hi hope your having a good day please answer this
17. Name the word that matches the definition given: Figures that have the same shape but not necessarily the same size.
A. similar figures
B. scale factor
C. scale
D. congruent figures
Answer:
A
Step-by-step explanation:
What is the image of the point (-5,-7) after a rotation of 270 counterclockwise about the origin
Answer:
Your answer will be (-5,7).
Step-by-step explanation:
Answer:
(-7,5)
Step-by-step explanation:
Which lines are perpendicular to the line y - 1= 1(x+2)? Check all that apply
y2= -36% -4)
y-5=9(x - 11)
• y=-3x-2/
y = 1x-2
3x + y=7
) Intro
Done
Step-by-step explanation:
Given the line y-1 = 1(x+2), in order to know the line that is perpendicular to the given line, we will first find the slope of the known line.
The standard form of equation of a line is expressed as y = mx+c
m is the slope
c is the intercept
Rewrite the equation given
y-1 = 1(x+2)
y-1 = x+2
y = x+2+1
y = x+3
Comparing to the standard form, the slope m = 1.
For two lines to be perpendicular, the product of their slope must be -1 i.e mM = -1
Substitute
1(M) = -1
M = -1
For us to know the line that is perpendicular to the given line, its slope must be -1.
Since none of the equation has a slope of -1, hence none of the lines are perpendicular to the line y - 1= 1(x+2).
given the f(x)=5x-3 find x when f(x)=25
Answer:
28/5
Step-by-step explanation:
[tex]f(x) = 5x - 3 = 25 [/tex]
[tex]5x = 25 + 3[/tex]
[tex]5x = 28[/tex]
[tex]x = \frac{28}{5} [/tex]
I think this is the answer
The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What equation do you need to solve to find the selling price or prices that would generate $50 in daily profit? What method would you use to solve the equation? Justify your choice.
Answer:
x = 4 or x = 12
Step-by-step explanation:
Given:
y = -10x² + 160x - 430
When y = $50
50 = -10x² + 160x - 430
50 + 430 = -10x² + 160x
480 = -10x² + 160x
-10x² + 160x - 480 = 0
Divide through by -10
x² - 16x + 48 = 0
Solve the quadratic equation using factorization method
+48 = -12 × -4
-16 = -12 -4
Therefore,
-12 and -4 are both factors
x² - 16x + 48 = 0
(x - 4 )(x - 12 ) = 0
x - 4 = 0
x = 4
OR
x - 12 = 0
x = 12
Answer:
Replace y in the equation with 50: (50 = -10x2 +160x - 430) Use factoring to solve the equation. After writing the equation in standard form and dividing each side by -10, it is easy to factor as 0 = (x - 4)(x - 12).
Step-by-step explanation:
If f(x) = 5x - 3, fill out the following table of values:
-2,-1,0,1,2,3
What type of function is this?
Answer:
Step-by-step explanation:
Given function is,
f(x) = 5x - 3
Where f(x) represents the output values and 'x' is the variable representing the input values.
For x = -2,
f(-2) = 5(-2) - 3
= -13
For x = -1,
f(-1) = 5(-1) - 3
= -8
For x = 0,
f(0) = 5(0) - 3
= -3
For x = 1,
f(1) = 5(1) - 3
= 2
For x = 2,
f(2) = 5(2) - 3
= 7
For x = 3,
f(3) = 5(3) - 3
= 12
Table for the input-output values will be,
x -2 -1 0 1 2 3
f(x) -13 -8 -3 2 7 12
Since the values of f(x) has a common difference of [-13 - (-8) = -5] negative five, given function will be a linear function.
solve for 1/3(2x-y)=z for x
Answer:
The answer is 7.
Step-by-step explanation:
Cant you math bro?
72 ounces in 6 steaks
Answer:
Each steak is 72/6 = 12 oz
Step-by-step explanation:
Unit rate = total ounces / total steaks:
72 ounces / 6 steaks = 12 ounces per steak
Unit rate = 12 ounces per steak.
Benjamin's age is 6 years less than twice Lucas's age. If Benjamin is 12 years old, how old is Lucas? Choose the answer below that is a viable solution to this problem
We can express Benjamin's age with x, we can express Luca's age as y.
x-6=2y
So, if x=12
2y=6
y=3
Therfore, Lucas is 3 years old
Kiran sells f full boxes and h half-boxes of fruit to raise money for a band trip. He earns $5 for each full box and $2 for each half-box of fruit he sells and earns a total of $100 toward the cost of his band trip. The equation 5f+2h=100 describes this relationship. Solve the equation for f.
Answer:
f = (100 - 2h) / 5
Step-by-step explanation:
Given:
5f + 2h = 100
Solve the equation for f.
5f + 2h = 100
Subtract 2h from both sides
5f + 2h - 2h = 100 - 2h
5f = 100 - 2h
Divide both sides by 5
5f / 5 = (100 - 2h) / 5
f = (100 - 2h) / 5
If f = 1 full box
h = 1/2 box
h = 1/2 of f
h = 1/2f
Substitute h = 1/2f into
f = (100 - 2h) / 5
f = {100 - 2(1/2f)} / 5
f = (100 - 2/2f) / 5
5f = 100 - f
5f + f = 100
6f = 100
f = 100 / 6
= 16.67
f = 16.67
The required value of f is 16.67.
Given that ;
Kiran sells full box of fruit cost for each box = f = $5
And Kiran sells half box of fruit cost for each = h = $2
According to the question ;
For full box cost + for half box cost = Total cost of his band trip
5f + 2h = 100
Solve the equation following equation for f .
5f + 2h = 100
Subtract 2h from both sides
5f + 2h - 2h = 100 - 2h
5f = 100 - 2h
Divide both sides by 5
[tex]\frac{5f}{5} = \frac{100}{5} - \frac{2h}{5}[/tex]
f = 20-2h
For full box f = 1 full box
For half box h = 1 half box
It means h = [tex]\frac{1}{2}[/tex] of f
h = [tex]\frac{1}{2}f[/tex]
Substitute the value of h
[tex]f = \frac{(100-2h)}{5} \\f = \frac{100-2(\frac{1}{2f} )}{5}[/tex]
[tex]f = \frac{100-f}{5}[/tex]
5f = 100 - f
5f + f = 100
6f = 100
[tex]f = \frac{100}{6}[/tex]
f = 16.67
The required value of f is 16.67.
For more details about the making equation click the link given below.
https://brainly.com/question/9151865
Round 433,321 to the nearest ten thousand.
Answer:
430,000
Step-by-step explanation:
Answer: 430,000
Step-by-step explanation: hope this helps
In the figure, the measure of angle 9 is 80 degrees and the measure of angle 5 is 68. Find the measure of each angle.
Answer/Step-by-step explanation:
Given:
m<9 = 80°,
m<5 = 68°
Lines w and v are parallel to each other.
m<1 = m<9 (corresponding angles theorem)
m<1 = 80°
m<2 + m<1 = 180° (linear pair)
m<2 + 80° = 180° (substitution)
m<2 = 180° - 80°
m<2 = 100°
m<3 = m<1 (vertical angles are congruent)
m<3 = 80°
m<4 = m<2 (vertical angles are congruent)
m<4 = 100°
m<6 + m<5 = 180° (linear pair)
m<6 + 68° = 180° (substitution)
m<6 = 180° - 68°
m<6 = 112°
m<7 = m<5 (vertical angles)
m<7 = 68°
m<8 = m<6 (vertical angles)
m<8 = 112°
m<10 = m<2 (corresponding angles)
m<10 = 100°
m<11 = m<9 (vertical angles)
m<7 = 80°
m<12 = m<10 (vertical angles)
m<12 = 100°
m<13 = m<5 (corresponding angles)
m<13 = 68°
m<14 = m<6 (corresponding angles)
m<14 = 112°
m<15 = m<13 (vertical angles)
m<15 = 68°
m<16 = m<14 (vertical angles)
m<16 = 112°
Ranny is buying presents for members of his family. He wants to spend $10 less on his brother than he spends on his sister, and six dollars more than twice the amount he spends on his sister on his mother. If Ranny has $100 to spend, how much does he intend to spend on his brother? Please answer with a numerical explanation. No other explanation required.
Answer:
8
Step-by-step explanation:
Answer:
Step-by-step explanation: ahshshhshdbd
Round 463,751 to the nearest hundred.
Answer:
463,800
Step-by-step explanation:
:) watch this be wrong lol
h(x)=−x−1, find h(6)
h(x) = -x-1
Then just substitute x =6
Then,
h(6) = (- 6-1)
=> h(6)= -71.what is the value of X
2. What is the value of the angle represented by(2x-10)?
Answer:
2x - 10=65-x
2x+x=65+10
3x=75
x=75/3
x=25 (1.)
2x - 10
2*25-10
50-10
40 (2.)
Evaluate the following expression.
3-2 x 33
3-1
A. 8
B. 9
C. 12
D. 15
Answer:
is -6x to the 33'd power tims 3 - 1. 3−2x33(3)−1
Step-by-step explanation:
4x + 11y = 36, What is the x intercept (let y = 0)? *
To find the x intercept we must put zero instead of the y in the function.
Let's do it....
[tex]4x + 11(0) = 36[/tex]
[tex]4x + 0 = 36[/tex]
[tex]4x = 36[/tex]
Divided sides by 4
[tex] \frac{4}{4}x = \frac{36}{4} \\ [/tex]
[tex]x = 9[/tex]
Thus the x intercept is 9 .
And we're done....
♥️♥️♥️♥️♥️
Stumped on math question
Answer:
x = 11/2
Step-by-step explanation:
X-intercept(s) can be found when y = 0
Rearrange the equation
-3y = -2x + 11
y = 2x/3 - 11/3
Let y = 0
0 = 2x/3 - 11/3
Rearrange so that x is on one side
2x/3 = 11/3
x = 11/2
Answer:
5.5
Step-by-step explanation:
The x-intercept of a function is the value of x when y is equal to 0.
Therefore, we can just plug in 0 for y and solve for x:
2x-3(0)=11
2x=11
x=5.5
The x-intercept is 5.5