Given:
The ratios are [tex]\dfrac{30}{75}[/tex] and [tex]\dfrac{24}{60}[/tex].
To find:
Whether the ratios form a proportion or not.
Solution:
If two ratios represent the same relationship then they form a proportion.
We have,
[tex]\dfrac{30}{75}[/tex] and [tex]\dfrac{24}{60}[/tex]
Write the given ratios in the simplified forms.
[tex]\dfrac{30}{75}=\dfrac{15\times 2}{15\times 5}[/tex]
[tex]\dfrac{30}{75}=\dfrac{2}{5}[/tex]
And,
[tex]\dfrac{24}{60}=\dfrac{12\times 2}{12\times 5}[/tex]
[tex]\dfrac{24}{60}=\dfrac{2}{5}[/tex]
Since [tex]\dfrac{30}{75}=\dfrac{24}{60}=\dfrac{2}{5}[/tex], therefore the ratios form a proportion.
Plssss Help plsssssssssssss
Answer:
y = 5x
Step-by-step explanation:
Help I need this answer before the day is over
What will make 3/10 n= 4/5?
Answer:
put 8/3
Step-by-step explanation:
Given
[tex] \frac{3}{10} n \: = \frac{4}{5} \\ inserting \: n \: = \frac{8}{3} \: we \: get \: \\ \frac{3}{10} \times \frac{8}{3} = \frac{4}{5} \\ cancel \: 3 \: an d \: divide \: 8 \: and \: 10 \: by \: 2 \\ we \: get \\ \frac{4}{5} = \frac{4}{5} [/tex]
Would it be better to have a loan with 5% interest payback in 2 years, or a loan with 2% interest paid back in five years? Explain. Show work to justify your answer.
Step-by-step explanation:
If the interest on the loan is simple interest. Both the situation will have equal amount of interest ( 5*2 =10% of total amount). Therefore, it would be better to pay back with 2% interest paid back in five years. However, if the interest is compounded annually, 5% in 2 years will have lesser interest than 2% in 5 years. Hence, Former option would be better.
Question 4 0
A two-sample t-test for a difference in means was conducted to investigate whether defensive players on a football team can bench-press more weight, on average, than
offensive players. The conditions for inference were met, and the test produced a test statistic of t = 1.083 and a p-value of 0.15.
Based on the p-value and a significance level of a = 0.05, which of the following is the correct conclusion?
Submit
Reject the null hypothesis because 0.15 > 0.05. There is not convincing evidence that defensive players can bench-press more weight, on average, than
offensive players.
B
Reject the null hypothesis because 0.15 > 0.05. There is convincing evidence that defensive players can bench-press more weight, on average, than
offensive players
с
Fail to reject the null hypothesis because 0.15 > 0.05. There is not convincing evidence that defensive players can bench-press more weight, on average,
than offensive players,
D
Fail to reject the null hypothesis because 0.15 > 0.05. There is convincing evidence that defensive players can bench-press more weight, on average,
than offensive players
Fail to reject the null hypothesis because 0.15 > 0.05. There is convincing evidence that defensive players can bench-press the same amount of weight,
on average, as offensive players.
Answer:
Fail to reject the null hypothesis because 0.15>0.05
. There is not convincing evidence that defensive players can bench-press more weight, on average, than offensive players.
Step-by-step explanation:
Since P>a we can not reject the null hypothesis. We cannot conclude the alternative hypothesis in context.
Ill give brainliest to the best answer!
Answer:
The answer are
A=3
B=1
C=4
D=2
will give 100 points
Answer:
The answer is <ACD = 68°
Step-by-step explanation:
Using the property that the sum of interior angles in a triangle is equal 180°,we have:
<DAC + <ACD + <ADC = 180°
[tex]2x + (180 - 4x) + 56 = 180 \\ - 2x + 56 = 0 \\ 2x = 56 \\ x = \frac{56}{2 } \\ x = 28[/tex]
Finally, calculating the angle <ACD, we have:
<ACD = 180 - 4x
<ACD = 180 - 4 . 28
<ACD = 180 - 112
ACD = 68°
Answer:
x = 28°
m∠ACD = 68°
Step-by-step explanation:
From inspection of the given diagram:
m∠FDC = 124°m∠EAB = 2xm∠ACG = 4xVertical Angle Theorem
When two straight lines intersect, the vertical angles are congruent.
⇒ m∠DAC = m∠EAB = 2x
Angles on a straight line sum to 180°:
⇒ m∠ACD + 4x = 180°
⇒ m∠ACD + 4x - 4x = 180° - 4x
⇒ m∠ACD = 180° - 4x
Exterior Angle Theorem
The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.
⇒ m∠DAC + m∠ACD = m∠FDC
⇒ 2x + (180° - 4x) = 124°
⇒ -2x + 180° = 124°
⇒ -2x + 180° - 180° = 124° - 180°
⇒ -2x = -56°
⇒ -2x ÷ -2 = -56° ÷ -2
⇒ x = 28°
To find m∠ACD, substitute the found value of x into the expression for the angle:
⇒ m∠ACD = 180° - 4x
⇒ m∠ACD = 180° - 4(28°)
⇒ m∠ACD = 180° - 112°
⇒ m∠ACD = 68°
2. Find the length of the leg. If your answer is not an integer, leave it in simplest radical
form.
14
A. 14
45
B. 712
C. 98
D. 7
Answer:
C
Step-by-step explanation:
I'm bot sure if it is correct
help pls!!
A box contains 5 orange pencils, 7 green pencils, and 4 blue pencils what is the probability of randomly selecting a blue pencil from the box??
Answer:
1/4
Step-by-step explanation:
5 + 7 + 4 = 16
4/16 = 1/4
pls give me brainliest :)
Solve the inequality by stating the solution and graphing it.
3 – 5x < -4x + 9
Answer:
x>-6
graphing (-6,0)
Step-by-step explanation:
3-5x<-4x+9-- Add 5x to -4x
3<x+9--- subtract 9 from both sides
-6<x
Solve the following equation for x. Express your answer in the simplest form.
Write an inequality relating NM and NL-
NM < NL
NM<_ NL
NM > NL
NM>_ NL
Answer:
NM > LN
Step-by-step explanation:
Here, we want to write an inequality
we should beat it in mind that, the greater the angle that a side of a triangle faces, the greater its length will be relatively
as we can see, the side NM faces the greater angle of 83, relative to the side LN that faces the angle of 56;
So we can conclude that;
NM > LN
Answer:
NM > LN
Step-by-step explanation:
Here, we want to write an inequality
we should beat it in mind that, the greater the angle that a side of a triangle faces, the greater its length will be relatively
as we can see, the side NM faces the greater angle of 83, relative to the side LN that faces the angle of 56;
So we can conclude that;
NM > LN
please help
Which of these describes the equation 3x + 7y = 8?
Select each correct answer.
A function
B. linear
C. nonlinear
D. proportional
E.
When x is 0, y is
F. When y is 2, x is 2 or -2.
According to the linear function concept, the correct answer is:
B. linear
Additionally:
When x = 0, [tex]\frac{8}{7}[/tex].When y = 2, x = -2.What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, the function is:
[tex]3x + 7y = 8[/tex]
Placing into standard format:
[tex]7y = 8 - 3x[/tex]
[tex]y = \frac{8}{7} - \frac{3x}{7}[/tex]
Hence it is a linear function.
When x = 0:
[tex]y = \frac{8}{7} - \frac{3(0)}{7} = \frac{8}{7}[/tex]
When y = 2:
[tex]y = \frac{8}{7} - \frac{3x}{7}[/tex]
[tex]2 = \frac{8}{7} - \frac{3x}{7}[/tex]
[tex]8 - 3x = 14[/tex]
[tex]3x = -6[/tex]
[tex]x = -\frac{6}{3}[/tex]
[tex]x = -2[/tex]
You can learn more about linear functions at https://brainly.com/question/25898120
omg it's so hard what is 2 + 2 (yes)
Answer:
5
Step-by-step explanation:
The segments in each figure are tangent to the circle at the points shown.
Find each length.
9514 1404 393
Answer:
RS = RT = 2
Step-by-step explanation:
The two tangents from a point are the same length.
RS = RT
y = y^2/2
y^2/2 -y = 0
y(y/2 -1) = 0 . . . . factor out y
Values of y that make these factors zero are ...
y = 0 . . . . . . . . true if points R, S, T are coincident on the circle
y/2 -1 = 0 ⇒ y = 2
Then the segment lengths are ...
RS = RT = 2
Need Help Due Tomorrow
MUST SHOW WORK!
don’t bother answering if not going to show work
Step-by-step explanation:
If D8=127
Therefore D4 =D8 (because corrosponding angles (forming 'F')
Therefore, the D4=D1(because vertically opposite angle)
There fore D4+D1
i. e 127+127 =254
The option (A) is the correct one
PLZZ GIVE ME BRAINLIEST TAG
THANK YOU........
If p+q/s = 9, q/p= 4, and square root q= 6, what is the value of s?
Answer:
5
Step-by-step explanation:
square root q = 6 meaning that q is 36, when q/p = 4 you can plug in36 for q and divide by 4 getting 9 and now you have q = 36 and p = 9, and p+9=45 and 45/5=9 meaning that s is 5.
Mike is a cashier. He works 35 hours and is paid a total of £217
What is Mike's hourly rate of pay? (2 marks)
Your answer
Answer:
Answer vary :
Mike is paid $6.20 per 1 hour.
Step-by-step explanation:
honestly in my opinion that’s the answer.
‘what is happening is we need to find out how much he is paid for only one hour.
knowing that mike is paid 217 in 35 hours we divide
- 217 divided by 35 = 6.2
and that’s the answer to check if it’s right we multiple 6.2 by 35
- 6.2 times 35 = 217
wich shows it is correct.
and that is how I came to that solution.
what is the slope y =5x - 1?
Answer:
slope is 5/1
Step-by-step explanation:
y=mx+b
m=slope
Answer:
The slope is 5.
Step-by-step explanation:
Y is the y-axis. 5 is the slope. X is the x-axis. -1 is the y-intercept.
Write the prime factorization of 375 and of 1000. How do u write that
Answer:
375 = 3 · 5³
1000 = 2³ · 5³
Step-by-step explanation:
8(g+–4)+5g
answer
this
please-
Answer:
13g-24
Step-by-step explanation:
8g-24+5g
Answer:
13g-32
Step-by-step explanation:
factor: p2−6−q(p2−6)2
Answer:
(p2−6)(1−2q)
Step-by-step explanation:
hope this helped <3
HHHHEEELLPPPP MEEEEEEEEE PLZZZZ
Answer:
c
Step-by-step explanation:
mabye not but meh
please help me out and ill give brainliest
Which of the following tables represents a linear function with the same slope as y=2-3x?
Table (C) represents the same slope -3 as the line y = 2 - 3x.
What is slope?The value of the steepness or the direction of a line in a coordinate plane is known as the slope of a line, often known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of techniques.
The formula for slope between two points (x₁, y₁) and (x₂, y₂) is,
m = (y₂ - y₁)/(x₂ - x₁)
The given equation is,
y = 2 - 3x
The slope of the equation m = -3.
To find the slope of the table, take any two points, because given line is straight line. Therefore, slope will be equal for every point.
(A)
Slope m = (5-2)/(1-0) = 3
(B)
Slope m = (8-10)/ 4-2 = -2 / 2 = -1
(C)
Slope m = (7-10)/1-0 = -3.
Hence, slope of table (C) is -3.
To know more about Slope on:
https://brainly.com/question/16941905
#SPJ2
Tell whether the ordered pair is a solution of 4y + y >-1,
Answer:
try y>-1/5
Step-by-step explanation:
During each week, John buys 3 new art pieces. Write an equation that shows the relationship between the numbers of art pieces x and the total number of art pieces he owns y
select one
A. y = 3x
B. y = 9x
C. x = 3y
D. y = x
Answer:
The correct answer is A. y=3x.
The total amount of art pieces he owns is equal to three times the number of pieces x.
Let me know if this helps!
two angles of a triangle measure 67 degrees and 90 degrees what is the measure of the third angle?
23
.
.
.
.
.
.
.
I hope it's helpful for you dude
Answer:23
Step-by-step explanation:
Use the GCF and the Distributive Property to find the sum of 30 + 42
Answer:
72
Step-by-step explanation:
6(5+7)
6(12)
72
GCF is 6
Use the distributive property by factoring out 6, like I did above
Answer:
Use the GCF and distributive property to find the sum of 30 + 66.
Step-by-step explanation:help
7. Tyler works in a shoe store. Tyler earns a commission. He earns 3.5% of the amount he sells. Last
week, he sold $600 worth of shoes. How much was his commission?