The ratio of the number of adults to the number of children at the resturant is 3:7. Identify the choices below that represent an equivalent ratio. Choices: A: 6:14 B: 8:12 C: 15:35 D: 21:9 E: 30:70
Answer: A: 6:14
C: 15:35
E: 30:70
Step-by-step explanation:
From the question, we are given that the ratio of the number of adults to the number of children at the resturant is 3:7.
The choices below that represent an equivalent ratio goes thus:
A: 6:14
This can be represented as: 6/14. The common factor is 2 and we reduce to lowest term which would be: = 3/7 = 3:7
This is an equivalent ratio.
B: 8:12
This can be represented as: 8/12. The common factor is 4 and we reduce to lowest term which would be: = 2/3 = 2:3
This is not an equivalent ratio.
C: 15:35
This can be represented as: 15/35. The common factor is 5 and we reduce to lowest term which would be: = 3/7 = 3:7
This is an equivalent ratio.
D: 21:9
This can be represented as: 21/9. The common factor is 3 and we reduce to lowest term which would be: = 7/3 = 7:3
This is not an equivalent ratio.
E: 30:70
This can be represented as: 30/70. The common factor is 10 and we reduce to lowest term which would be: = 3/7 = 3:7
This is an equivalent ratio.
The correct options are A, C,and E.
If the population of Hillsborough County was 1.3 million in 2015 and the projected annual growth rate of the population is 3%, what would the projected population of the county be in 25 years? Round to the nearest hundredth.
Answer:
2,721,911.31
Step-by-step explanation:
The formula for Population growth rate is given as:
P(t) = Po(1 + r)^t
Where
Po = Initial population = 1,300000
P(t) = Population after t years
r = growth rate = 3%
t = time in years = 25
Hence,
P(25) = 1,300,000(1 + 0.03)^25
P(25) = 2,721,911.3086
P(25) Approximately = 2,721,911.31
The projected population of the county be in 25 years is 2,721,911.31
1 2/3 x 2 1/4 =
answer asap and correct pls.
Answer:
the answer is 3.75
Step-by-step explanation:
I got the answer in decimal
Use <,>,= to make a true statement
2.1___ the square root of 4.41
Answer: =
Step-by-step explanation: because if you do the square root of 4.41 it is 2.1
Please help!!!!!!!!!!!!!!!!
Answer:
m<G
Step-by-step explanation:
They are the same angle, hence they are congruent by the reflexive property. Moreover, they are both a part of the triangles; GHL and GJK, and therefore prove similarity.
Cristian says that when you raise a base number to a power of 3, it is impossible for the number to get smaller. Do you agree or disagree? Justify (prove) your answer.
Answer: I disagree
Step-by-step explanation:
I disagree with the statement from Cristian. When you raise a base number to a power of 3, it is possible for the number to get smaller.
For example, let's say our base number is negative 2, that is -2. Now let's find the cube of the number. This will be:
= -2^3 = -2 × -2 × -2 = -8
In this example, we can see that -8 is smaller than -2. This shows that the statement by Cristian is not correct.
denoted 5
An object has a constant acceleration of -42 ft/sec2, an initial velocity of 5 ft/sec, and an initial position of 9 ft. Find the position function describing the motion of this object.
Answer: The equation of motion is
s(t) = (1/2)a·t² +v₀·t +s₀
Step-by-step explanation: Hope this helped!
Are these two claims equivalent, in conflict, or not comparable because they’re talking about different things?
a. “We mark up the wholesale price by 33% to come up with the retail price”
b. “The store has a 25% profit margin”
Note: Profit margin = (Retail price - Wholesale price)/(Retail price)
Answer:
statement 'a' and 'b' are comparing two different things
Step-by-step explanation:
statement 'a' is referring to arriving at a selling price for at least one product
but, assuming the store sells more than one product then there is no correlation to the profit margin of the store as a whole
Simplify
Complete the chart.
Original
Function
Rewrite
Differentiate
(Power Rule)
2
3) y =
6
3x
4) y = Vx7
Answer:
Step-by-step explanation:
Original Function Rewrite Differentiate Simplify
3). y = [tex]\frac{2}{3x^6}[/tex] y = [tex]\frac{2}{3}x^{-6}[/tex] y' = [tex]\frac{2}{3}(-6)x^{(-6-1)}[/tex] y' = [tex]-\frac{4}{x^{7}}[/tex]
4). y = [tex]\sqrt[4]{x^7}[/tex] y = [tex]x^{\frac{7}{4}}[/tex] y' = [tex]\frac{7}{4}x^{(\frac{7}{4}-1)}[/tex] y' = [tex]\frac{7}{4}x^{\frac{3}{4}}[/tex]
A football team scored 3 touchdowns, 3 extra points, and 4 field goals. Write an expression to represent the total points the football team scored. Use t to represent the number of points for a touchdown Use e to represent the number of points for the extra point Use f to represent the number of points for a field goal Write the equation using the "WIRIS editor" button
Answer:
The answer is below
Step-by-step explanation:
A football team scored 3 touchdowns, 3 extra points, and 4 field goals.
a. Write an expression to represent the total points the football team scored.
b. Write another expression that is equivalent to the one written above.
c. If each touchdown is worth 6 points, each extra point is 1 point, and each field goal is 3 points, how many total points did the team score?
Solution:
a) Let t represent the number of points for a touchdown, e represent the number of points for the extra point and f represent the number of points for a field goal.
Total points = 3(t) + 3(e) + 4(f) = 3t + 3e + 4f
b) Total points = 3t + 3e + 4f OR
Total points = t + t + t + e + e + e + f + f + f + f OR
Total points = 3(t + e) + 4f
c) Total points = 3(t + e) + 4f = 3(6 + 1) + 4(3) = 3(7) + 4(3)
Total points = 21 + 12 = 33 points
The sum of the points the team has from different point gaining options
give the total number of points the team scores.
[tex]\underline{\mathrm{The \ total \ points \ the \ football \ team \ scored } = 3 \cdot t + 3 \cdot e + 4 \cdot f}[/tex]Reasons:
The number of touchdowns by the football team, t = 3
Number of extra points by the football team, e = 3
Number of field goals by the team, f = 4
Therefor, the total number of points, P = 3·t + 3·e +4.f
The specified editor is an equation editor, which can be used to write mathematical equations.
Using an equation editor, we have;
[tex]\mathrm{The \ total \ points \ the \ football \ team \ scored } = 3 \cdot t + 3 \cdot e + 4 \cdot f[/tex]
Learn more about equations here:
https://brainly.com/question/472337
Find the product.
28.5 x 7
A. 198.5
B. 199
C. 199.5
D. 200
Answer:
199.5
Step-by-step explanation:
i know because I added it up
(3y + 6) + (4y +5)=?
Answer:
7y+11
Step-by-step explanation:
(3y + 6) + (4y +5)=?
Combine like terms
3y+4y + 6+5
7y+11
Answer:
7y +11
Step-by-step explanation:
Because you can't add the numbers with the letters
For which regular polygon is 30 degrees the smallest angle of rotational symmetry?
•given that is smallest angle of rotational symmetry for a regular polygon is 30
•we have to find the number of side does the regular polygon have
•if we can rotate of figure around a center point be fewer than 360° and the figure appears and change then the figure has the rotation symmetry
Hence,12 number of sides the polygon.no. of side= 360/ smallest angle at centre=12
I hope it's help
Answer:
the answer is D
Step-by-step explanation:
53:06
What is the lowest value of the range of the function
shown on the graph?
5
4+
3-
оооо
2+
14
3
1
2 3 4 5
х
-5 4 -3 -2 -11
-2
-37
-4
Answer:
The answer is B
Step-by-step explanation:
I got this answer right on ed2020
Which of the following is NOT a triangle congruence postulate or theorem?
1) Angle side angle
2) Angle angle side
3) Angle side side
4) none of these
Answer:
Which of the following is NOT a triangle congruence postulate or theorem?
4) none of these
The choices which are not triangle congruence postulate are: 3)Angle Side Side
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
The reflexive property of congruence states that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.
We need to find the choices which are not triangle congruence postulate or theorem.
The postulates that are used to prove the triangles congruent are,
1)Side Side Side
2)Side Angle Side
3)Angle side Angle
4)Angle Angle Side
5)Hypotenuse Leg
Other than these postulates none can be used to prove the triangles congruent.
The choices which are not triangle congruence postulate are:
3)Angle Side Side
Learn more about congruent triangles;
https://brainly.com/question/12413243
#SPJ2
Help me please! I’m begging
Simplify the expression.
- 2.3f + 0.9f - 15-9
Answer:
-1.4f - 24
Step-by-step explanation:
First combine like terms
-2.3f + 0.9f - 15 - 9
-1.4f -24
So, simplified it is
-1.4f - 24
What is the length of AD if A is located at (-7,0) and D is located at (8,0)?
Answer:
15
Step-by-step explanation:
(-7,0) and (8,0) are on the opposite side of origin of x axis
d = 8 - -7 = 15
(6,-1) (0,3) write an equation
Help pls and thank you :)
Answer:
Answer choice : 3
Step-by-step explanation:
What is the measure of ABC?
A. 130
B. 85
C.40
D.170
Answer:
It would 85
Step-by-step explanation:
The easiest way to think about it is that the angle looks a little smaller than a right angle (90 degrees) therefore 85 degrees is correct.
10. Pandora music cost $109.65 a year.
Popular songs on iTunes cost $1.29 for
the purchase of each song. How many
songs purchased on iTunes would it take
to equal the cost of two years of Pandora
music.
Answer:
170 songs
Step-by-step explanation:
109.65 x 2= 219.30
219.30/1.29=170
Multiply. Express each answer as a decimal.
12⋅15
34⋅200
(0.2)⋅60
(0.75)⋅20
Answer:
12×15=180 34×200=6800 (0.2)×60=12 (0.75)×20=151. What is the slope of the line that passes through the two points (12,-5)
and (-3, 8)?
Pls help it due today
Answer:
B
Step-by-step explanation:
Answer: Choice C. y = (-1/2)x+7
=========================================================
Explanation:
The slope of the graphed line is -1/2 because we drop down 1 unit on the y axis each time we move to the right 2 units along the x axis. We could apply the slope formula for any two points on the diagonal line to also get a slope of -1/2.
The slope formula is m = (y2-y1)/(x2-x1).
Any two parallel lines have the same slope, but different y intercepts. So the parallel line will also have slope -1/2. Right away we can see the answer must be choice C. This is the only equation with slope -1/2 of the choices given.
Recall that slope intercept form y = mx+b has m as the slope. Not to be confused with the label m of the graphed line.
Note how plugging x = 6 into the equation for choice C leads to...
y = (-1/2)*x + 7
y = (-1/2)*6 + 7
y = -3 + 7
y = 4
Showing that (x,y) = (6,4) is on the equation y = (-1/2)x + 7. This confirms the answer.
---------------------------
Let's say we didn't have multiple choice answers to pick from, and instead it was fill in the blank. To find the y intercept b, we can do the following
y = mx+b
y = (-1/2)x + b ... plug in given slope m = -1/2
4 = (-1/2)*6 + b .... plug in the given point (x,y) = (6,4)
4 = -3 + b
4+3 = -3+b+3 ... adding 3 to both sides
7 = b
b = 7
Knowing that m = -1/2 and b = 7, we can update y = mx+b into y = (-1/2)x+7
will give brainliest please help!!
Simplify the expression x-3x-(-5x).
Answer:
D. 3x.
Step-by-step explanation:
Let's do a little bit of simplifying.
First, distribute that minus sign outside of the parentheses.
x - 3x + 5x
Then simplify further.
-2x + 5x
More.
3x
PLEASE HELP! WILL GIVE BRAINLIEST Evaluate 6r - 8.45s when r = 12 and s = 4
Answer:
Step-by-step explanation:
Putting values
6(12) - 8.45(4)
= 38.2
The square of a number plus the original number is 22 what could the number be?
Answer:
x²+22
Step-by-step explanation:
let the number= X
x²+22
Which of the following statements about “vesting periods” is TRUE?
Tamika makes a 4% commission selling electronics. How much commission does she make if she sells a flat-screen TV for $8,000?
A.) $7,680
B.) $2,000
C.) $32,000
D.) $320
Answer:
D.) $320
Step-by-step explanation:
4% of 8,000
so
0.04 x 8,000
= 320