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.
HELPPPP!!!
A band wants to enter a contest that requires traveling expenses. They need at least $1,150 to cover all of the expenses.
They have already saved $700. They are selling shirts with a profit of $7.00 per shirt to earn the remaining money.
Part A
Which inequality represents the minimum number of shirts, n, the band must sell to earn the remaining money?
O 7n + 700 < 1,150
O 7 (n + 700) <1, 150
• 7n + 700 1,150
O 7 (n + 700) >1, 150
Part B
What is the minimum number of shirts the band must sell to earn the remaining money?
Answer:
7n+700≥1,150 and 65 shirts
Step-by-step explanation:
The answer is 65 instead of 64 because there is a decimal of .287...
This means we have to round up in order to be correct, not down because then it wouldn't be enough.
The inequality represents the minimum number of shirts, n, the band must sell to earn the remaining money is, 7n + 700 > 1150.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
From, The given information le the number of t-shirts be 'n'.
Therefore, The inequality representing the minimum number of shirts, n, the band must sell to earn the remaining money is,
7n + 700 > 1150.
learn more about inequalities here :
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Suppose g(x) = f(x - 1) - 5. Which statement best compares the graph of
g(x) with the graph of f(x)?
D is your answer i believe
Step-by-step explanation:
using g(x), -1, which is our change of x will go right. -5 is our change in y, so therefore it goes down. negative means down, positive means up for our change of y. for our change of x, negative goes right, and postive goes left. thats why i think the answer is d
7 - 9x = ( x + 3 ) + 2x
Answer:
1/3
Step-by-step explanation:
7-9x=(x+3)+2x
7-9x=x+3+2x
7-3=x+2x+9x
4=12x
x=1/3
what is 22
+ 60 is it 87 , 650 , or 82, or 67
Answer:
82
Step-by-step explanation:
vote brainiest plzz
X varies directly with Y.
When X=2, Y=3
Find a formula connecting X and Y.
(PLEASE HELP!!) Which is the equation of the line in slope-intercept form?
Answer:
its a
Step-by-step explanation:
g/4=6
what does g equal also the g/4 is supposed to be a fraction
Answer:
1.5
Step-by-step explanation:
‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️An artist is making a scale model of a statue. On the model 2 inches represents 1 foot on the actual statue. Which graph best represents this relationship?
Answer:
The answer would be B !
Step-by-step explanation
please help me with this!!!
Answer:
126 m^2
Step-by-step explanation:
We can use the formula of the area of a parallelogram:
Area = base x height Area = 14 x 9Area = 126 m^2Hope this helps!!
Answer:126m^2
Step-by-step explanation:
The area of a parallelogram is the same as a rectangle. You must do 9*14=126.
I need help asap!!!!!
Which of the following possibilities will form a triangle? (5 points)
Side = 15 cm, side = 6 cm, side = 8 cm
Side = 15 cm, side = 6 cm, side = 9 cm
Side = 16 cm, side = 9 cm, side = 6 cm
Side = 16 cm, side = 9 cm, side = 8 cm
Answer:
16 cm, side = 9 cm, side = 8 cm
Step-by-step explanation:
What is the answer to the question
In a classroom 3/5 of the students are boys. What is the ratio of girls to boys
Please help I need it really really bad
Answer:
second one lol
Step-by-step explanation: because i said so
Which graph represents y=4(3)^x
The y-intercept of the exponent function is 4. Then the graph represents the equation y = 4(3)ˣ will be B.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
The exponent equation is given below.
y = 4(3)ˣ
The value of the exponent function at x = 0 is calculated as,
y = 4(3)⁰
y = 4 × 1
y = 4
The y-intercept of the exponent function is 4. Then the graph represents the equation y = 4(3)ˣ will be B.
More about the exponent link is given below.
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A radio arm saw has a circular cutting blade with a diameter of 10 inches and it spins at 2000rpm if there are 12 cutting teeth per inch on the cutting blade how many teeth cross the cutting surface each second
Answer:
12565.11 teeth approximately cut cross the cutting surface per seconds.
Step-by-step explanation:
Since the diameter is 10inches, the circumference of the arm saw is 10π (circumference is πd where d is diameter).
The number of teeth on the cutting blade can be gotten by multiplying the diameter by 12 since we have 12 teeth per inch on the arm saw
Number of teeth on saw = 12 x 10π = 120π.
To get the number of teeth that cross the cutting surface in 2000rpm we multiple it by the total number of teeth in just one rpm.
So we have 2000 x 120π. But since we are asked to find it in revolution per seconds then 2000r/m = 2000r/60s ≈ 33.33
Therefore, we have
33.33 x 120π ≈ 12565.11 teeth
Emily has 59 flowers. She wants to put the flowers in 6 vases with the same number in each vase. Part A: What is the greatest number of flowers she can put in each vase? Part B: How many flowers will Emily have left over?
Answer:
Part A
= 9 flowers
Part B
= 5 flowers
Step-by-step explanation:
Emily has 59 flowers. She wants to put the flowers in 6 vases with the same number in each vase.
Part A: What is the greatest number of flowers she can put in each vase?
This is calculated as:
59 flowers ÷ 6 vases
= 9 5/6 flowers
Therefore, the greatest number of flowers she can put in each vase is 9 flowers
Part B: How many flowers will Emily have left over?
We have to calculate the number of flowers in the 6 vases above
= 9 flower × 6
= 54 flowers
Hence:
= 59 flowers - 54 flowers
= 5 flowers
Therefore, Emily would have 5 flowers left over.
what is 70% of 53? PLZZZ HELP ASAP
write the equation of the cirlcle with diameter endpoints of (-6,3) and (-14,13)
Answer:
(x+10)² + (y-8)² = 41
Step-by-step explanation:
First, we find the length of the diameter.
from distance formula, d = SQR ROOT OF [(-14+6)² + (13-3)²]
diameter = SQR ROOT OF [8² + 10²] = √164 = √4√41 = 2√41
***** so the radius is half that, r =√41
The center of the circle is at the midpoint of the diamater.
x = (1/2)(-6 + -14) = (1/2)(-20) = -10
y = (1/2)(3 + 13) = (1/2)(16) = 8
center (h,k) = (-10,8)
circle equation: (x-h)² + (y-k)² = r²
(x- -10)² + (y - 8)² = (√41)²
(x+10)² + (y-8)² = 41
Sorry it took a while.
Identify the common ratio, r, in the following sequence:
212, 106, 53, 16.5
Simplify the expression: 12 +6w² + 5m² + 14w + 9m² + 4w + 10
Answer:
[tex]14m^{2} + 6w^{2} + 18w +22[/tex]
Step-by-step explanation:
Break the function into pieces and combine like terms:
[tex](9m^{2}+5^{2})=14m^{2}[/tex]
[tex]6w^{2}[/tex]
[tex](14w+4w)=18w[/tex]
[tex](10+12)=22[/tex]
Now arrange the pieces in proper order (order of exponents)
[tex]14m^{2} +6w^{2} +18w+22[/tex]
plz mark me 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:
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The weather report says there is a 91% chance it will rain tomorrow. Should you get ready to use an umbrella?
Question 1 options:
1 Yes
2 No
3 maybe
how do you find area of a shape?
Answer:
The area of a rectangle is the length times width.
Step-by-step explanation:
if you know what’s going on pls help thanksss
basically u are representing the graphs below in symbols and words if that makes any sence
Answer:
1. > less than
2. =< (I can't find the symbol for this but a line should be under the < and thats it) Greater than or equal to
3. < greater than
4. >= less than or equal to
y varies directly as x and inversely as the square of z. y = 65 when x = 80 and z=4. Find y when x= 18 and z=3.
Answer: y
=
18
Explanation:
As
y
varies directly as
x
, we have
y
∝
x
. Also it varies inversely as square of
z
, which means
y
∝
1
z
2
.
Hence,
y
∝
x
z
2
or
y
=
k
×
x
z
2
, where
k
is a constant.
Now when
x
=
80
and
z
=
4
,
y
=
10
, so
10
=
k
×
80
4
2
=
k
×
80
16
=
5
k
Hence
k
=
10
5
=
2
and
y
=
2
x
z
2
.
So when
x
=
36
and
z
=
2
,
y
=
2
×
36
2
2
=
72
4
=
18
Step-by-step explanation:
Can someone please help I am stuck on this question
Answer:
B) c=25
Step-by-step explanation:
7^2+24^2=25^2
Anthony compared dog treat prices to find the better deal. The 2 pound box cost $2.38, and the 5 pound box cost $6.10. Which is the better deal?
Answer:
2.38 * 5 = 11.9 and 6.10 * 2 12.20 therefore the 2 pound box is the better deal
Step-by-step explanation:
Find the circumference in terms of pic if the diameter is 2.5
Answer
[tex]C=2.5\pi[/tex]
Step-by-step explanation:
Radius is always half of the diameter so, [tex]\frac{2.5}{2} \\[/tex] is equal to [tex]1.25[/tex].
The Formula for Circumference is [tex]C=2\pi r[/tex]
Since we found out the radius, we need to basically substitute (or insert) it into the radius spot so the next step will be: [tex]C=2\pi (1.25)[/tex]
Then we multiply (2)(1.25) to get an answer of 2.5 (which we already know)
So our answer is going to be [tex]C=2.5\pi[/tex]
Hope this helped and answers your question! Have a great rest of your day/night!
An angle measures 144° less than the measure of a supplementary angle. What is the measure of each angle?
Answer:
one angle = 162
another = 18
Step-by-step explanation:
one angle = x = 162
another angle = x - 144 = 162 - 144 = 18
x + x - 144 = 180
x + x = 180 + 144
2x = 324
x = 324/ 2 = 162
I hope im Right! !!
*This is a question on a physics document, but beings it's also a mathematics question, it's been tagged as mathematics. Please show your work!*
A 7.12 µC charge is moving at one half the speed of light perpendicular to a magnetic field of 4.02 mT. How large is the force on the charge?
A.) 4.29 N
B.) 32.90 x 10^(1) N
C.) 4.29 x 10^(12) N
D.) 1.00 x 10^(16) N
Answer:
The correct option is A: 4.29 N.
Step-by-step explanation:
The magnetic force is given by:
[tex] F = qv\times B = qvBsin(\theta) [/tex]
Where:
q: is the charge = 7.12x10⁻⁶ C
v: is the speed = c/2 = 1.5x10⁸ m/s
B: is the magnetic field = 4.02x10⁻³ T
θ: is the angle = 90° (the speed is perpendicular to the magnetic field)
Hence, the force on the charge is:
[tex]F = qvBsin(90) = 7.12 \cdot 10^{-6} C*1.5 \cdot 10^{8} m/s*4.02 \cdot 10^{-3} T = 4.29 N[/tex]
Therefore, the correct option is A: 4.29 N.
I hope it helps you!