Answer:
9x +24y = -8
Step-by-step explanation:
2y + 3/4 x = -2/3 ( multiple by 4)
24y + 9 x = -8 (move x to the front)
9x + 24y = -8
The diameter of a circle measures 7 5/6 inches. What is the radius of the circle? Enter your answer as a mixed number in the box.
The radius of the circle expressed as a mixed number is: [tex]3\frac{11}{12}[/tex] inches.
What is the Radius of a Circle?Radius of a circle = half the measure of the diameter of a circle.
Given:
diameter of a circle = [tex]7\frac{5}{6}[/tex] inches
Therefore:
Radius of the circle = 1/2([tex]7\frac{5}{6}[/tex])
= 1/2(47/6)
= (1 × 47)/(2 × 6)
= 47/12
= [tex]3\frac{11}{12}[/tex] inches.
Therefore, the radius of the circle expressed as a mixed number is: [tex]3\frac{11}{12}[/tex] inches.
Learn more about radius of a circle on:
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Write the point slope form of the equation of the line through the given points: (4,-1) and (-3,1)
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{4}}}\implies \cfrac{1+1}{-7}\implies -\cfrac{2}{7}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-\cfrac{2}{7}}(x-\stackrel{x_1}{4})\implies y+1=-\cfrac{2}{7}(x-4) \\\\\\ y+1=-\cfrac{2}{7}x+\cfrac{8}{7}\implies y=-\cfrac{2}{7}x+\cfrac{8}{7}-1\implies y=-\cfrac{2}{7}x+\cfrac{1}{7}[/tex]
HELP ME PLEASE!! the inequality X <38 can be used to represent how much water is in a swimming pool. where X is the volume of water in the pool in cubic meters. Which of these statement BEST describes how much water is in the swimming pool?
Answer:
x < 38 represents that there is less than 38 cubic meters of water in the pool.
Step-by-step explanation:
" < " sign represents less than.
" > " sign represents more than.
" ≥ " sign represents at least or more than.
" ≤ "sign represents at least or less than.
Answer:
B
Step-by-step explanation:
The sign < means less than
Given x is the volume of the pool
Therefore, x < 38 means the volume of the pool is less than 38 m³
For information, the statements written as inequalities would be
A: x > 38
B: x < 38
C: x ≥ 38
D: x ≤ 38
Can someone help me please and have an explanation :)
Answer:
ok so lets find the difference on the table
from 5 to 8 is goes up 250.5(668-417.5)
so that means 3 tickets goes 250.5 so lets divide by 3
250.5 divide by 3=83.5 per ticket
83.5*6=501
501
Hope This Helps!!!
Answer:
Equation : $83.50x = Cost of the tickets
(where x = number of tickets)
Cost of 6 tickets : $501
Step-by-step explanation:
I'm not sure if this is the way they want you to do it, but what I did is :
1) Solve a proportion to figure out the cost of 1 ticket
5/417.50 = 1/x
5x = 417.50(1)
5x/5 = 417.50/5
x = 83.50
So, the cost of 1 ticket is $83.50
2) Create an equation
If x equals the number of tickets :
83.50x = Cost of the tickets
3) Solve for 6 tickets
83.50(6) = Cost of the tickets
501 = Cost of the tickets
Substitute x for the number of tickets, which is 6 and you'll get $501 :)
Select the correct answer. What is the vertex of the parabola given by y = -(x − 2)^2 − 1?
Answer:
vertex: -2,1
Step-by-step explanation:
You need to graph it.
8 yards converted into feet?
Answer:
24 feet
Step-by-step explanation:
a yard is 3 feet
8 yards is
8 × 3
24 feet
Write and solve a system of equations made up of Aiden’s and Natalie’s lines of best fit that they can use to find the catapult arm length that they could both use to launch their tennis balls the same distance. What is the solution to the system?
Type the correct answer in the box. Round each number to the nearest tenth.
( , )
The solution to the given system is (-30, 80)
Line of best fit.The solution to the given system of the equation of line is the point where both lines intersect.
From the given diagram, we can see that the lines intersect at a coordinate point (x, y)
The location of these coordinate point on the xy-plane is (-30, 80). Hence the solution to the given system is (-30, 80)
Learn more eon system of equation here:https://brainly.com/question/14323743
Answer:
The answer is (30,90)
Step-by-step explanation:
the reason is because it says to round to the nearest tenth the numbers not rounded is 32.6 and 86.6
What is the value of x in the equation 2. 5 minus 0. 25 x = negative 3? –22 –1. 1 1. 1 22.
Chris buys 2 identical bags of cherries to make a pie.
There are more than 10 but less than 30 cherries in each bag.
Chris eats 7 cherries, then uses half of the rest in his pie.
Chris uses 11.5 cherries for his pie.
How many cherries were in each bag to start with?
==================================================
Explanation using mental math:
He uses 11.5 cherries for his pie, which is half the amount left (after eating those 7 cherries).
This means 2*11.5 = 23 cherries were left over after he ate those seven. In other words, half of 23 is 11.5
If we reverse time, then we get those 7 cherries back to get 7+23 = 30 cherries total. Divide those up equally between the two bags and we get 30/2 = 15 cherries per bag.
Going forward in time we have 15 cherries per bag, so 2*15 = 30 total. He eats 7 to be left with 30-7 = 23 cherries. That cuts in half to 23/2 = 11.5 cherries for his pie.
---------------
Explanation using algebra
c = number of cherries in each bag.
10 < c < 30 based on the second sentence
2c = number of cherries total from both bags combined
2c-7 = the amount left after Chris eats those 7 cherries
(2c-7)/2 = he uses half of the remaining cherries for the pie
Set that equal to the 11.5 number stated and solve for c.
(2c-7)/2 = 11.5
2c-7 = 11.5*2
2c-7 = 23
2c = 23+7
2c = 30
c = 30/2
c = 15
We effectively follow similar steps as when we did the mental math route.
Notice how c = 15 makes 10 < c < 30 true.
Use the graph to write a linear function that relates y to x
Answer:
y = [tex]\frac{4}{3} x + 2[/tex]
Answer:
Y=4/3x+2
Step-by-step explanation:
The slope is 4/3 because i counted 3 spaces to the right and 4 spaces up which is 4/3 and the starting point is 2 which is where it crosses on the y intercept hope this helps! :)
find x using Pythagoras theorem
Answer:
x = 3
Step-by-step explanation:
The Pythagorean theorem tells you the sum of squares of the legs is equal to the square of the hypotenuse. In this geometry, a radius from the circle center to point T is length x, and is one leg of the right triangle.
x^2 +4^2 = (x +2)^2
x^2 +16 = x^2 +4x +4 . . . . . expand
12 = 4x . . . . . . . . . . . . . subtract (x^2 +4)
3 = x . . . . . . . divide by 4
The radius of the circle is 3 cm.
-3x - 4 = -5y -8 y-intercept and x-intercept
Answer:
y-intercept: -0.8
x-intercept: 1.333
find the value of 16 to the power of 3/4
Answer:
8
Step-by-step explanation:
If we write this as an expression it looks like [tex]16^{\frac{3}{4} }[/tex]
Multiply the top number of the fraction by itself to find its square. Write the result and place the fraction line below it.
Please help I will give brainliest.
Step-by-step explanation:
for x = 2
a = 500 × (3/5)²
for x = 4
b = 500 × (3/5)⁴ = 500×(3/5)²×(3/5)²
so,
a/b = (500 × (3/5)²) / (500 × (3/5)² × (3/5)²) =
= 1/(3/5)² = 1/(9/25) = 25/9 = 2.777777778...
please answer quickly attachment is under this little message
Answer:
315 dm3
Step-by-step explanation:
[tex]V=\frac{lwh}{3} \\\V=\frac{9*7*15}{3} \\V=\frac{945}{3} \\V=315[/tex]
Help!!!! ( this is i-ready )
Answer:
Take the values in the box:
IQTR = 16 - 7
= 9
i need help on 10 please
Angle 1 = 54.
Step-by-step explanation:
54+36= 90 or 90-36=54
What is another way of saying that Janelle can ride her bike at a rate of 15 kilometers per hour?
Answer:
Janelle can ride her bike at a rate of 9.32 miles per hour
Step-by-step explanation:
15 kilometers is 9.32 miles
is this correct or it needs any fixing
a laptop computer is purchased for $1800. after each year the resale value decreases by 35%. what will the resale value be after 5 years? round to nearest dollar.
Answer:
1800-35%=1170
1170-35%=760,5
760,5-35%=494,325
494,325-35%=321,31
311,31-35%=208,85
after round it is 209
Answer:
$209
Step-by-step explanation:
1800-(1800*.35)=1170
1170-(1170*.35)=760.5
760.5-(760.5*.35)=494.325
494.325-(494.325*.35)=321.31125
321.31125-(321.31125*.35)=208.8523125
$209 after 5 years
Hope this helps
Please factor 4n + 4 x 2
Answer:
4 ( n + 2 )
[tex]4(n + 2)[/tex]
how many triangles??
Find the value of each missing variable
Answer:
x=90
y=78
z=70
Now
or,90+78+70
or,238 answer.
If fence poists are to be placed in a row 7 feet apart, how many posts are needed for 210 feet of fence?
posts
Answer:
31
Step-by-step explanation:
210 ft ÷ 7 ft = 30
There are 30 7-ft lengths of fence.
Think of putting a post at the end of each 7-ft length. That means you need 30 posts. Now you must add 1 post for the beginning.
Answer: 31
The band director at a high school wants to know what percentage of parents supports a decrease in the budget for fine arts. Because many parents attend the school’s annual musical, the director surveys the first 30 parents who arrive at the show. Explain why this sampling method is biased. Is the proportion of parents in the sample who support the decrease likely greater than or less than the proportion of all parents in the school who support the decrease?
Using sampling concepts, it is found that the sampled is biased because only parents who attend the school's musical show are surveyed, hence they are not very likely to support the decrease, and the population proportion should be greater than the one found in the show.
How are samples classified?Samples may be classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.A sample has to take into account all aspects of the population, otherwise it is biased. In this problem, either people support the decrease, or they do not. Only people that went to the show were surveyed, that is, people who are unlikely to support the decrease, which generates bias, as the population proportion should be greater than the one found in the show.
More can be learned about sampling concepts at https://brainly.com/question/25122507
PLS HELP ME ASAP I WILL GIVE YOU 43 POINTS
The diagram shows 3/4 of a fraction strip shaded. Mary erases some of the shadings to show 5/8. Explain the steps she took to shade 5/8 of the fraction strip.
Answer:
a 8 parts b 8 3|4 = 3×2|4×2=b|8
Step-by-step explanation:
117,23.4,4.68… t(n)=(term0)(r)^n what is the equation?
Answer:
Step-by-step explanation:
help mee its due today at 3:00am
Answer:
Here is the answer......hope u understand...
what should be subtracted from
[tex] {a}^{2} - 7ab \: + {3b}^{2} [/tex]
to get
[tex]( - 4 {a}^{2} + 6ab \: + 3 {b}^{2} )[/tex]
?
-5a²+13ab should be subtracted.
Step-by-step explanation:-Based on the given conditions, formulate,
[tex]→- {a}^{2} - 4 {a}^{2} + 13ab[/tex]
[tex]→-({a}^{2} - 4 {a}^{2}) + 13ab[/tex]
Taking the coefficients or numbers, we get,
[tex]→(- 1 - 4) {a}^{2} + 13ab[/tex]
[tex]→ - 5 {a}^{2} + 13ab[/tex]
Given :
What should be subtracted from a² – 7ab + 3b² to get – 4a² + 6ab + 3b² ?
Solution :
Let the required expression to be subtracted be x
⇢ a² – 7ab + 3b² – x = – 4a² + 6ab + 3b²
⇢ a² – 7ab + 3b² – (– 4a² + 6ab + 3b²) = x
⇢ a² – 7ab + 3b² + 4a² – 6ab – 3b² = x
Combining the like terms :
⇢ a² + 4a² – 7ab – 6ab + 3b² – 3b² = x
⇢ 5a² – 13ab = x
⇢ x = 5a² – 13ab
Therefore,
5a² – 13ab should be subtracted from a² – 7ab + 3b² to get – 4a² + 6ab + 3b².
How would you solve y+1= -4x ? with a step by step solution
Answer:
There are an infinite number of solutions.
Step-by-step explanation:
An equation with 2 unknowns give an infinite amount of solutions, here is just one of the many:
Let y= 3 ( y can be any number)
(3) + 1 = -4x
4 = -4x
x = -4/4
x= -1
(x;y) = (-1;3)
Generally x and y can be any number, just let x or y be any number, then find the other variable based on the value of the number u assumed.