Answer:
25%
Step-by-step explanation:
1200/960 = 1.25
So it grew by 25%
Graph a line that contains the point (-5, -6) and has a slope of
aina
5+
+
но са
-7
-6
-5
-4
-3 -2
1
2
3
4
5
6
7
Equation of the line is [tex]y=\frac{2}{3}x-\frac{8}{3}[/tex].
Solution:
Slope (m) = [tex]\frac{2}{3}[/tex]
Point [tex](x_1, y_1)=(-5, -6)[/tex]
Point - slope form:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]$y-(-6)=\frac{2}{3}(x-(-5))[/tex]
[tex]$y+6=\frac{2}{3}(x+5)[/tex]
[tex]$y+6=\frac{2}{3}x+\frac{10}{3}[/tex]
Subtract 6 from both sides.
[tex]$y+6-6=\frac{2}{3}x+\frac{10}{3}-6[/tex]
[tex]$y=\frac{2}{3}x+\frac{10-18}{3}[/tex]
[tex]$y=\frac{2}{3}x-\frac{8}{3}[/tex]
Equation of the line is [tex]y=\frac{2}{3}x-\frac{8}{3}[/tex].
The image of the graph is attached below.
Answer:
Equation of the line is
Step-by-step explanation:
Christina estimated 188% of 91 by performing these steps. What did she do wrong?
(90)(190%)
= (90)(100%+90%)
= (90)(100%) +(90) (90%)
= (90)(1.0)+(90) (0.9)
= 90+ 18
= 108
Answer:
she incorrectly multiplied 90 times 0.9
Step-by-step explanation:
Yeah I’m not good at this
For the given triangle, x = 5.1 cm and y = 6.1 cm.
Step-by-step explanation:
Step 1:
In the given triangle, the angle is 50°. It is given that the opposite side has a length of y cm and the adjacent side has a length of y cm. The hypotenuse of the triangle measures 8 cm.
To determine the length of the opposite side of the triangle, we use the sin of the given angle.
To determine the length of the adjacent side of the triangle, we use the cos of the given angle.
[tex]sin \theta = \frac{oppositeside}{hypotenuse} , cos \theta = \frac{adjacentside}{hypotenuse}.[/tex]
Step 2:
In the given triangle,
The length of the opposite side = y cm,
The length of the adjacent side = x cm,
The length of the hypotenuse = 8 cm,
The angle of the triangle = 50°.
[tex]sin \theta = \frac{oppositeside}{hypotenuse} , sin 50 = \frac{y}{8}.[/tex]
[tex]y = 0.7660 (8) = 6.128.[/tex]
[tex]cos \theta = \frac{adjacentside}{hypotenuse} , cos 50 = \frac{x}{8}.[/tex]
[tex]x = 0.6427 (8) = 5.1416.[/tex]
So x = 5.1416 cm and y = 6.128 cm. Rounding these off to one decimal place, we get x = 5.1 cm and y = 6.1 cm.
a store sells 14 2/3 lb of carrots one day. The next day the store sells to 2 1/3 pounds of carrots how many pounds of carrots did the store sell?
Answer: 17lbs of carrots
Step-by-step explanation:
Use the relationships between the angles to solve for x (most brainliest fastest answer)
Answer:
100 degrees
Step-by-step explanation:
A straight line pretty much means you have 180 degrees.
180 - 115 = 65
A triangle has 180 degrees
x = 180 - 15 - 65 = 100
Write -5.8 as a mixed number in simplest form
Answer:
[tex]-5 \frac{4}{5}[/tex]
Step-by-step explanation:
That's the answer
Answer:
I guess the answer would be -5 and 4/5.
Hope this helps!
if a pair of 1-6 number generators is tossed once, what is the propabilitly that the total number rolled would be..1?.... 2?.... 3?
Probability that the total number rolled would be 1 , 2 , 3 is [tex]\frac{1}{6}[/tex] or 0.167 each .
Step-by-step explanation:
Here we have , a pair of 1-6 number generators is tossed once, . We need to find that what is the probability that the total number rolled would be..1?.... 2?.... 3?. Tossed once, and number of outcomes are { 1,2,3,4,5,6 } out of which we need to find probability that the total number rolled would be 1 , 2 , 3 .
Probability for 1: Number 1 will come out of 6 digits present there so,
[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{1}{6}[/tex]
⇒ [tex]Probability = 0.167[/tex]
Probability for 2:Number 2 will come out of 6 digits present there so,
[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{1}{6}[/tex]
⇒ [tex]Probability = 0.167[/tex]
Probability for 3:Number 3 will come out of 6 digits present there so,
[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{1}{6}[/tex]
⇒ [tex]Probability = 0.167[/tex]
Order of Operations- -6+(-30) divided by 5-(-2). Explain step by step
Answer:
-36/7 or -5.14287
Step-by-step explanation:
so I would get rid of parentheses you do not need them
[tex]\frac{-6+-30}{5--2}[/tex]=[tex]\frac{-36}{7}[/tex](because when two negative come before two numbers like -x-y they are being added but negative is present to the result of the sum, when one negative sign comes after a number and the other negative sign comes before a number, like x--y they are being added as well but negative is not present to the result of the sum)
-36/7=-5.1428
hope this helps!
in a certain clothing store,6 shirts and 3 ties cost $79.50 ,and 3 shirts and 2 ties cost $41. determine the cost of each shirt.
Answer:
Each shirt cost $12
Step-by-step explanation:
First, we have to interpret this question and turn each to an equation, letting shirts represent the letter s and ties represent the letter t.
6 shirts and 3 ties cost $79.50 would be interpreted to 6s+3t=79.5 ,and 3 shirts and 2 ties cost $41 would be interpreted to 3s+2t=41
Hence we have two equations, and we solve them simultaneously.
6s+3t=79.5 (Equation 1)
3s+2t=41 (Equation 2)
We can either use the substitution method or the elimination method but for the sake of this question, we use the Elimination method.
6s+3t=79.5 (Equation 1)
3s+2t=41 (Equation 2)
We multiply equation 1 by 2 and we multiply equation 2 by 3, I'm prefer to eliminate the
2(6s+3t=79.5)
12s+6t=159 Equation 3
3(3s+2t=41)
9s+6t=123 Equation 4
We subtract equation 4 from equation 3.
12s+6t=159
9s+6t=123
12s-9s=3s
6t-6t=0
159-123=36
We therefore have
3s=36
Divide both sides by 3
s=36/3
s=12
One shirt cost $12
Use the data set to answer the question.
{122,132,155,198,213,225,261,280}
What is the mean absolute deviation for the data set?
Enter your answer as a number rounded to the nearest tenth, like this: 42.5
The mean absolute deviation for the given data set is 45.1.
Explanation:To find the mean absolute deviation for a given data set, follow these steps:
Find the mean of the data set by adding up all the values and dividing by the total number of values.
For each value in the data set, find the absolute difference between the value and the mean.
Find the average of these absolute differences by summing them up and dividing by the total number of values.
In this case, the data set is {122,132,155,198,213,225,261,280}.
The mean of this data set is 196. The absolute differences from the mean are: 74, 64, 41, 2, 17, 29, 65, 84.
The average of these absolute differences is 45.1. Therefore, the mean absolute deviation for the data set is 45.1.
Distributive property of (-1)(4-c)
Answer:
[tex]\huge\boxed{(-1)(4-c)=c-4}[/tex]
Step-by-step explanation:
[tex]\text{The distributive proeperty:}\ a(b+c)=ab+ac\\\\(-1)(4-c)=(-1)(4)+(-1)(-c)=-4+c=c-4[/tex]
- Which mathematical expression represents "add 6, 9, and 24 and then divide by 3"?
A. (6 + 9 + 24) = 3
B. 6 + 9 + 24-3
C.3 = (6 + 9 + 24)
D. 3 = 6 + 9 + 24
Answer:
(6 + 9 + 24)/3
Step-by-step explanation:
First, you must add 6, 9, and 24.
6 + 9 + 24
Now you need to divide that sum by 3.
You must use parentheses to show the sum being divided by 3.
(6 + 9 + 24)/3
None of your expressions contain a division sign, so there is no answer contained in the choices. Did you use the equal sign to mean a division sign?
Solve and check y-12=4y
Answer:
-8
Step-by-step explanation:
The answer is -8 because y=4 so 4-12=-8
Maria has an annual income of
$32,000. If she saves 8% of her
income, how much money does
she save?
Answer:
17,810.58
Step-by-step explanation:
A = $ 17,810.58
A = P + I where
P (principal) = $ 10,000.00
I (interest) = $ 7,810.58
Step-by-step explanation:
we can write it in %form:
100% of the total income Annual income= $32,000 (given in question)
1%=$320. (divide both sides by 100 to solve by 1%)
8%=$320×8
(multiply by 8 both side to get money saved)
8%= *$2,560*
if the polygon shown below is a regular nonagon,what is the value of x
Answer:
[tex]x=40^o[/tex]
Step-by-step explanation:
the picture of the question in the attached figure
step 1
Find the measure of the interior angle of a regular nonagon
The formula to calculate the measure of the interior angle in any polygon is given by
[tex]\frac{(n-2)180^o}{n}[/tex]
where
n is the number of sides
In this problem we have
n=9 sides
substitute
[tex]\frac{(9-2)180^o}{9}=140^o[/tex]
step 2
Find the value of x
Remember that
The sum of the interior angle and the exterior angle in any vertex of the polygon must be equal to 180 degrees
so
[tex]x+140^o=180^o[/tex]
solve for x
[tex]x=180^o-140^o=40^o[/tex]
What are the characteristic of financially responsible decision
Find the perimeter of a rectangle with a base of 24m
and a height of 36m.
ASAP NEED ANSWERS :) PLEASEEEEEEEE
Answer:
C I think.
Step-by-step explanation:
=============================================
Why this is the answer:
The rectangle has 3 circles packed inside it each with the same radius r. The diameter of each circle is 2r, so 3 of them result in a total rectangle length of 3*2r = 6r.
While one circle has a circumference of C = 2*pi*r = 2*3.14*r = 6.28r
Comparing 6.28r and 6r, we see that 6.28r is larger than 6r
6.28r > 6r
6.28 > 6 ... dividing both sides by r (the inequality sign doesn't change because r > 0)
This is true for any value of r.
James and Tyson are buds. The sum of their ages is 97. The difference of their ages is 19. Find their ages.
Answer:
James is 58 and Tyson is 39 years old.
Step-by-step explanation:
x + y = 97
x - y = 19 +
--------------
2x = 116
x = 58
--------------
y = 97 - 58
y = 39
To find the ages of two friends based on the sum and difference of their ages.
Explanation:James and Tyson are two friends whose ages sum up to 97 and have a difference of 19. To find their ages, we can set up a system of equations:
Let's denote James' age as x and Tyson's age as y.We have the equations: x + y = 97 and x - y = 19.Solving these equations simultaneously gives x = 58 and y = 39.Therefore, James is 58 years old, and Tyson is 39 years old.
4x+4y+z=24
2x-4y+z=0
5x-4y-5z=12
Answer:
what are you looking for
Step-by-step explanation:
Which scoring scheme is the most favorable to the test taker?
Answer:
If the situation is: Sebastian has researched the following scoring schemes: one that has 5 question choices, one that has 4 question choices, and two that have 3 question choices. Which scoring scheme is the most favorable to the test taker?
Then I believe the answer is scheme D
Step-by-step explanation:
edge ( Brainliest if you can)
I WILL GIVE BRAINLIEST, 5 STARS, AND THANKS!
Find the volume of the prism.
A. 250 yd3
B. 50 yd3
C. 20 yd3
D. 200 yd3
Answer:
D
Step-by-step explanation:
To find Volume, you multiply length, width and height.
10x4=40
40x5=200
Answer:
D)200yd^3
Step-by-step explanation:
all you have to do is times 4*5*10=200 to get the volume
HELPPP PLEASE
A cone-shaped tent has a diameter of 12 ft and a height of 6 ft. What is the approximate volume of the tent? Question 2 options: 226 ft3 679 ft3 905 ft3 2714 ft3
The volume of the tent is option A) 226 ft³
Step-by-step explanation:
The given data are,
A cone-shaped tent has a diameter of 12 ft.The height of the cone is 6 ft.To find the volume of the tent :
The volume of the tent can be found using the formula for volume of the cone, since the tent is in the shape of a cone.
Volume of the cone = (1/3)πr²h
where, r is the radius of the cone. The diameter is given as 12 ft. Therefore, to find the radius = diameter /2 = 12/2 = 6 ft.
The radius, r = 6 ft.
The height h of the cone is h= 6 ft.
Volume of the cone = (1/3)× 3.14× 6²× 6.
⇒ (1/3)× 3.14× 216
⇒ 678.24 / 3
⇒ 226.08 (which is approximately 226)
⇒ 226 cubic. ft
Therefore, the volume of the tent is option A) 226 ft³
Find the perimeter of the triangle below. Then, explain the steps you used to find the perimeter
The perimeter of the triangle = 60 cm
Solution:
The given triangle is a right triangle.
Base of the triangle = 15 cm
Hypotenuse = 25 cm
Let the unknown side of the triangle be x.
Using Pythagoras theorem,
In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.
[tex]x^2+15^2=25^2[/tex]
[tex]x^2+225=625[/tex]
Subtract 225 from both sides,
[tex]x^2=400[/tex]
Taking square root on both sides, we get
x = 20
The unknown side of the triangle is 20 cm.
The perimeter of the triangle = Sum of the sides of the triangle
= 15 cm + 25 cm + 20 cm
= 60 cm
The perimeter of the triangle = 60 cm
1 meter = 100 centimeters
Each centimeter is
_or_
of a meter.
Answer: 1/100 or 0.01
Answer:
1 cm = 0.01 m
Step-by-step explanation:
Divide both sides of 1 meter = 100 centimeters by 100 to obtain an expression for the value of 1 cm:
1 meter 100 cm
---------------- = -------------
100 100
Reducing this, we find that: 1 cm = 0.01 m
What is the factored form of x6 - 9?
Answer:
Step-by-step explanation:
(x 3)(x – 3)
(x5 3)(x – 3)
(x3 3)(x2 – 3)
(x3 3)(x3 – 3)
Answer:
(x3 + 3)(x3 – 3)
Step-by-step explanation:
Which sequence is geometric and has `1/4` as its fifth term and `1/2' as the common ratio?
O A..., 1, 1/2", 1/4", 1/8"...
B..., `1/4,' 1/2,' '1, 2, ...
O C.., 1/72", 1/36', '1/18', '1/9 ,...
OD..., 8,' '4,' '2,' 1,' ....
Answer:
A..., 1, 1/2", 1/4", 1/8"...
Step-by-step explanation:
Each lapel on a suit jacket is in the shape of a triangle.the three angles of each triangle measure 47 , 68 and 65. classify the triangle by its angles
The type of triangle is acute angled triangle.
Solution:
Let us first define the type of triangles based on angles.
If all angles of a triangle are less than 90°, then it is acute angled triangle.
If any one angle of a triangle is exactly 90°, then it is right angled triangle.
If any one angle of a triangle is more than 90°, then it is obtuse angled triangle.
Given angles of a triangle:
47°, 68° and 65°
Here all the three angles are less than 90°.
Hence it is a acute angled triangle.
A square and a regular hexagon have side of the same length. The perimeter of the square increased by 48 units will be equal to the perimeter of the hexagon. What is the x, the length of the side of the hexagon or square
The length of the side of the hexagon or square is 24 units.
Step-by-step explanation:
It is given that, a square and a regular hexagon have side of the same length.
The length is not given in the problem. So, let us assume the length of the side of hexagon or square as 'x'.
The additional information given is that, the perimeter of the square increased by 48 units will be equal to the perimeter of the hexagon.
The perimeter of the square = 4 × length of the side.Then, the perimeter of the square increased by 48 units = (4x + 48).The perimeter of the hexagon = 6 × length of the side.Therefore, the perimeter of the hexagon = 6x.To calculate the length x of square and hexagon :
Comparing both the perimeters of square and hexagon,
⇒ (4x + 48) = 6x
⇒ 48 = 6x-4x
⇒ 2x = 48
⇒ x = 48/2
⇒ x = 24 units.
The length of the side of the hexagon or square is 24 units.
Help. Interpreting Graphs Of Proptional Relasionships. !
Graphs of proportional relationships visually depict how two or more variables are interrelated using line graphs, pie graphs, and bar graphs. Line graphs show direct relationships with a constant rate of change, pie graphs represent portions of a whole, and bar graphs compare quantities through the height of bars.
Explanation:When interpreting graphs of proportional relationships, it's essential to recognize that these graphs illustrate how two variables correlate with one another. In line graphs, a straight line that passes through the origin indicates a direct proportionality, meaning as one variable increases, the other increases at a constant rate. For instance, if a line graph shows the relationship between hours worked and income earned, the line's slope denotes the rate of earning per hour, showcasing a proportional increase in income with more hours worked.
Pie graphs are used to represent how a whole is divided into parts, with the size of each 'slice' showing the percentage of the total. An example could be a budget allotment where each slice represents what percentage of the budget is spent on specific categories, like marketing or research and development.
Lastly, bar graphs can also indicate proportional relationships through the height of the bars. For example, if a bar graph displays the population sizes of different countries, each bar's height is proportional to the population of that country. When bars are segmented, they can show subgroups within that population, such as age demographics or income brackets.