It is given that yvaries directly as x. If y= 5 when x= 4 determine the constant of variation,
Answer:
[tex]k=\dfrac{5}{4}[/tex]
Step-by-step explanation:
Given that,
y varies directly as x. It means,
y = kx
Where
k is the constant of variation
or
[tex]k=\dfrac{y}{x}\\\\k=\dfrac{5}{4}[/tex]
So, the constant of variation is [tex]\dfrac{5}{4}[/tex].
What's the slop and y intercept of 4y = 2x - 12
Answer:
slope: [tex]\frac{1}{2}[/tex]
y-intercept: (0,-3)
Step-by-step explanation:
First, place the equation in slope-intercept form to identify the slope and y-intercept easily. Isolate the y in the equation to do this:
[tex]4y = 2x-12\\\frac{4}{4} y = \frac{2}{4} x-\frac{12}{4} \\y = \frac{1}{2} x-3[/tex]
Now that the equation is in slope-intercept form, it is much easier to find the slope and y-intercept of the equation. Remember that the slope-intercept formula is [tex]y = mx + b[/tex].
In an equation written in slope-intercept form, the [tex]m[/tex], or the coefficient of the x-term, represents the slope. So, the slope of his equation is [tex]\frac{1}{2}[/tex]. Also, the [tex]b[/tex], or the constant on the right side of the equation, represents the y-intercept. So, the y-intercept of this equation is (0,-3).
would n-3/n+3 cancel out?
Answer:
Let's work this out.
n - 3 / n + 3
n / n + 6
In order to avoid it cancelling out, we only cancelled out one side.
2n = 6
n = 3
Erin has $52 to spend at the florist. She wants to buy a vase for $11.75 and several roses for $3.50 each. What are the possible numbers of roses Erin can buy?
____+____ r__52
r __ ____
Erin can buy up to ___ Roses
What properties did you use to solve the inequality?
Answer:
she can get 11.5 but you have to round down so 11 roses and the vase
Step-by-step explanation:
What is the difference between the amounts of interest Henry and Ingrid paid for their loans
Answer:
When you buy more expensive items or buildings it will raise your intrest so thats the difference look in between the two.
Step-by-step explanation:
Good luck on the rest of the quiz
Help me pleaseee i need helpppp fast!!
Answer:
Awnser #3
Step-by-step explanation:
Justr did it
plss help i’ll give brainliest thank you!
Answer:
D
Step-by-step explanation:
As,
-10 is always greater than -13
Hence, -13 < -10
If I have the coordinats (4, 3) and (2, 2) what is distance do we get
Answer:
※※※※※※※※※※※※※※※※※
Hi! The answer to your question is [tex]\sqrt{5}[/tex]
Step-by-step explanation:
Use the Distance Formula to determine the distance between two points.
- Brooklynn Deka
❣❣
Someone please help!
Given:
[tex](\sin x)^2+(\cos x)^2=1[/tex]
[tex]\cos \theta = \dfrac{4\sqrt{2}}{7}[/tex]
To find:
The value of [tex]\sin \theta[/tex].
Solution:
We have,
[tex]\cos \theta = \dfrac{4\sqrt{2}}{7}[/tex]
Putting this value in the Pythagorean identity, we get
[tex](\sin \theta)^2+(\cos \theta)^2=1[/tex]
[tex](\sin \theta)^2+\left(\dfrac{4\sqrt{2}}{7}\right)^2=1[/tex]
[tex](\sin \theta)^2+\dfrac{16(2)}{49}=1[/tex]
[tex](\sin \theta)^2+\dfrac{32}{49}=1[/tex]
[tex](\sin \theta)^2=1-\dfrac{32}{49}[/tex]
[tex](\sin \theta)^2=\dfrac{49-32}{49}[/tex]
[tex](\sin \theta)^2=\dfrac{17}{49}[/tex]
Taking square root on both sides, we get
[tex]\sin \theta=\pm \sqrt{\dfrac{17}{49}}[/tex]
[tex]\sin \theta=\pm \dfrac{\sqrt{17}}{7}[/tex]
The given value of [tex]\sin \theta[/tex] is positive. So, [tex]\sin \theta= \dfrac{\sqrt{17}}{7}[/tex].
Therefore, the value of value [tex]\sin \theta[/tex] is [tex]\sin \theta= \dfrac{\sqrt{17}}{7}[/tex].
Which number line represents the solutions to 1-2x1 = 4?
+
4
-10-8-6-4-20
2
6
8
10
f
+ +
-10 -8 -6 -4 -2 0
+
6
+
8
2
4
10
+
O Att
-10-8-6-4-20
+
6
2
4
8
10
+
-10 -8 -6 -4 -2
+
2
+
4
O
6
8.
10
Answer:
The third number line where x = -2, 2
Step-by-step explanation:
The solution is, the number line represents the solutions is given below.
here, we have,
given equation is,
25x + 200 > 1,200
Subtract 200 from each side
25x + 200-200 > 1,200-200
25x> 1000
Divide by 25
25x/25 >1000/25
x>40
To learn more on number line click:
brainly.com/question/29162579
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The base of a rectangular prism has an area of 18.25 inches² and the height of the prism is 4.5 inches. What is the volume of the prism?
Answer:
1498.78125 i used calculator
Step-by-step explanation:
a. The ratio of pages read by Liam to
pages read by Amir is 1:5. If Liam read
12 pages, how many pages did Amir
read? Explain your reasoning.
ANSWER QUiCK PLZZ NO WEBSITE
Step-by-step explanation:
For every page that Liam reads, Amir reads five, so if Liam read 12 pages, then Amir read 12 * 5 = 60 pages
Charley's grade in the three quarters are 85, 88, and 92. If she targets to have an average
grade of greater than 90 in the four quarters this school year, what is the least grade she
should have for the fourth quarter?
Step-by-step explanation:
We can set up an average equation in the form, where x is the last score in the fourth quarter:
[tex]\frac{85 + 88 + 92 + x}{4} = 90[/tex]
[tex]85 + 88+92 + x =360\\\\x = 95[/tex]
She needs at least a 95 on the last quarter to average 90 in all four quarters.
A health club manager wants to determine whether the members would prefer a new sauna or a new steam room. The club surveys 50 of its 600 members. What is the population of this study? The population is all 50 members of the health club. The population is all 600 and 50 members of the health club. The population is all 600 members of the health club. The population is all 30,000 members of the health club.
Answer:
The population is all 600 members of the health club
Explanation:
50 members were chosen out of all 600 members thereby telling us that the sample of the study/survey is 50 members while the population is all 600 members. A sample represents the population and is collected from the population to make it less tedious to study and make conclusions on the population. For example, given that the population of a study are individuals or objects of common characteristics, 50 members tell the needed story and relays the characteristics and/or definition of the whole population, thereby forming a basis to make a conclusion on the population.
Help me with these ASAP!!!!!!
Answer:
4
Step-by-step explanation:
Answer:
4) volume =288
5) 4=r
Step-by-step explanation:
Question 4
volume=length*width*height
volume= 3*8*12
volume=288
question 5
V=pie r^2*h
144pie=pie r^2 *9
144/9=r^2
16=r^2
4=r
Help brainliest question!!!
Answer:
The second option
Step-by-step explanation:
Since root 16 is an integer (4), the second option produces the fraction 4/5 which is rational.
PLEASE HELP ME ITS MY LAST QUESTION!!
Write three very large numbers and three very small numbers. Now write them using scientific notation. Then
perform one calculation with the numbers.
100 = 10^2
1000 = 10^3
10000 = 10^4
0.1 = 10^(-1)
0.01 = 10^(-2)
0.001 = 10^(-3)
Now,
100 × 0.1 = 10^2 × 10^(-1)
= 10
can u help me find the surface area for my work
Answer:
258
Step-by-step explanation:
There is a triangle and a parallelogram.
The triangle's area: 1/2 bh is 30
The parallelogram bh is 12*19
add them up and it is 258.
Can you follow me on Brainly?
Thanks!
Answer:
744; 1,206
Step-by-step explanation:
Prism 1:
2(19*13) + 5*12 + 2(5*19)
Multiply all the sides.
494 + 60 + 190 = 744
Prism 2:
2(20*9) + 2(18*20) + 9*14
360 + 720 + 126 = 1,206
Hope this helps (:
I will mark you brainiest if you can answer this
Answer:
9 buses
12 cars
(Step-by-step explanation:
x=bus x+y=21 --> y=-x+21
30x+4y=318 --> y= -30x/4 + 318/4
y=car
x= 9
y=12
:) hope this help
Independent Practice
Which property justifies the step shown in solving this equation?
− y−5=11
−y−5+5=11+5
A.
Multiplication Property of Equality
B.
Addition Property of Equality
C.
Division Property of Equality
D.
Subtraction Property of Equality
Answer:
i dont know
Step-by-step explanation:
If x=1/2 and y=6x, what is the value of 8x/2y
Answer:
x = 1/2 and y=6x, so 8x/2y = 8(1/2)/2(6*1/2) = 4/6 = 2/3
Step-by-step explanation:
3/4 years equal how many months
Answer:
9
Step-by-step explanation:
can someone help on Part A and Part B please thanks
(5th grade math)
Answer: 18 quarts for Part a
9 gallons for part b
Step-by-step explanation:
Answer:
Part A: 18
Part B: 4 1/2
Step-by-step explanation:
Part A:
He needs to triple his recipe by 3, so 12 x 3. So you get 36. The question was how many quarts does he need. So 36 divided by 2 is 18. So 18 quarts is needed!
Part B: We need to find out how many gallons he needs, we already know that he has 18 quart. There are 4 quarts in a gallon. So 18 divided by 4 is 4 1/2.
Good Luck And Hope this helps!
Yours Truely, TheAnimeCatUwU
a2 = -8 and a5 = -512
Find a10
Answer:
The value of a₁₀ is -1352
Step-by-step explanation:
a₂ = -8
a₅ = -512
Now,
a₂ = -8 can be written as
a + d = -8 ...(1) and
a₅ = -512 can be written as
a + 4d = -512 ...(2)
Now, from equation (2) we get,
a + 4d = - 512
a + d + 3d = - 512
(-8) + 3d = - 512 (.°. a + d = -8)
3d = - 512 + 8
3d = - 504
d = - 504 ÷ 3
d = - 168
Now, for the value of a put the value of d = -168 in equation (1)
a + d = -8
a + (-168) = -8
a - 168 = -8
a = 168 - 8
a = 160
Now, For a₁₀
a₁₀ = a + 9d
a₁₀ = 160 + 9(-168)
a₁₀ = 160 - 1512
a₁₀ = -1352
Thus, The value of a₁₀ is -1352
-TheUnknownScientist
What is the y-intercept of the graph of y = 2.5*?
HELP I NEED HELP ASAP
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
the answer would be A because that makes a straight line.
Suzanne owns stock worth $2,400. She owes $5,200 in student loans, and $2,500 on a credit car. She owes $1,800 on a car that is worth $8,000. What is Suzanne's net worth in dollars?
Answer:
15,100
Step-by-step explanation:
because 5,200+2,500+8,000+1,800=17,500 which is how much she owes and what she has is 2,400 so 17,500- 2,400= 15,100 so her net worth is 15,100
What is the y-intercept of the line?
A: -2
B: 0
C: 1
D: 1/2
Answer:
C: 1
this answer is c because the line is one the Y intercept of 1
Evaluate the exponential expression. 14^2
Answer:196
Step-by-step explanation:
Answer:
196
Step-by-step explanation:
Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor. So in the case of 32, it can be written as 2 × 2 × 2 × 2 × 2=25, where 2 is the “base” and 5 is the “exponent”. We read this expression as “two to the fifth power”.
Help asap for brianlist
Answer:
⅔ (option two)
Explanation:
on a cube numbered 1 to 6, only four numbers (1, 2, 3 and 4) are smaller than 5. there is an equal chance of you rolling any side on the dice, so your chances of rolling one of those four numbers would be 4/6, which can be simplified to ⅔.
i hope this helps! :D