Explanation:
Divide by 1000 to go from grams to kilograms.
This is because 1000 grams = 1 kg.
kilo = thousand
A high school is having a talent contest and will give different prizes for the best 5 acts in the show. First place wins the most money, and each place after that wins $50 less than the previous place. Part A Create a model that can be used to determine the total amount of prize money based on the value of the first place prize Enter your model in the box provided.
The model that can be used to determine the total amount of prize money based on the value of the first place prize is as follows;
Total amount of price money = 5x - 500
The prices are given to the best 5 acts. The first place wins the most money and each place after that wins $50 less than the previous place. The pattern follows a sequence.
What is a Sequence?Sequence is a list of things (usually numbers) that are in order. Therefore,
let
the first price = x
The common difference of the sequence would be - 50.
To create a model that can be used to determine the total amount of prize money based on the value of the first place prize can be done as follows;
x , x - 50, x - 100, x - 150, x - 200Therefore,
Total amount of price money = x + x - 50 + x - 100 + x - 150 + x - 200
Total amount of price money = 5x - 500
learn more on model here: https://brainly.com/question/2400667
Solve the inequality.
r+0.2<−0.7
Answer:
r<−0.9
Step-by-step explanation:
Let's solve your inequality step-by-step.
r+0.2<−0.7
Step 1: Subtract 0.2 from both sides.
r+0.2−0.2<−0.7−0.2
r<−0.9
Find the value of X for the given parallelogram
Answer:
15[tex] \: [/tex]
Step-by-step explanation:
Parallelogram is a quadrilateral whose both pairs of opposite sides are parallel and equal and opposite angles are also equal.
[tex] \: [/tex]
So,
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { \angle P = \angle R}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { 6x - 10 = 2x + 50}}}} \: \: \\ \\[/tex]
Subtracting 2x from both sides we get :
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { 6x - 10 - 2x = 2x + 50 - 2x}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { 4x - 10 = 50 }}}} \: \: \\ \\[/tex]
Adding 10 to both sides we get :
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { 4x - 10 + 10 = 50 + 10 }}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { 4x = 60 }}}} \: \: \\ \\[/tex]
Dividing 4 from both sides we get :
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { \frac{4x}{4} = \frac{60}{4} }}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \frak { x = 15 }}}} \: \: \\ \\[/tex]
Therefore,
The value of x is 15Name the quadrilateral whose diagonals are perpendicular bisectors of each other
Rhombus or square.
Hope it helps!
The Family Fair Committee wants to show a good
family movie at their next event. They want to
select a movie that will appeal to families with
young children. Which of the following samples
would be the BEST representation of that
population?
A. Ask 100 people at local Senior Citizen Bingo
night
B. Ask 100 students who are in the local Band.
C. Ask 100 parents at the local playground.
D. Ask 100 Dads at the high school football
game.
O
OA
The best representation of the population is; C. Ask 100 parents at the local playground
What is the statistics Population?
In statistics, a population is the entire group that you want to draw conclusions about. Whereas, a sample is the specific group that you will collect data from.
Now, the family committee want to select a movie that will appeal to families with young children. Thus, it will be best for them to ask the parents of children as that will be a true representation of what the families would like to watch.
In conclusion, the only correct option is option C to ask 100 parents at the local playground
Read more about population at; https://brainly.com/question/7301139
60% of the students in a school of 800 students take a bus. how many students take the bus?
Answer:
480
Step-by-step explanation:
60% of 800
= [tex]\frac{60}{100}[/tex] × 800
= 0.6 × 800
= 480 ← number of students who take the bus
What is the area of this triangle?
6 cm
11 cm
Answer: 33
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
Area of a triangle = [tex]\frac{bh}{2} \\[/tex] (base × height ÷ 2)
A = 6 · 11
2
A = 66
2
A = 33
Use the given information to find (a) sin (s +t), (b) tan (s+t), and (c) the quadrant of s+t cos s=3/5 and cos t= 15/17, s and t quadrant I
Step-by-step explanation:
Let find the other trig function first, just sin s and sin c.
Use pythagoren identity to find sin a.
[tex]1 - \cos {}^{2} (s) = \sin {}^{2} (s) [/tex]
cos s=3/5 so cos^2(s)=9/25
[tex]1 - \frac{9}{25} = \sin {}^{2} (s) [/tex]
[tex] \frac{16}{25} = \sin {}^{2} (s) [/tex]
[tex] \frac{4}{5} = \sin(s) [/tex]
Since this is in the first quadrant, it is positve.
Let do the the same thing for sin t.
[tex]1 - \frac{169}{289} = \sin {}^{2} ( {}^{} t) [/tex]
[tex] \frac{120}{289} = \sin {}^{2} (t) [/tex]
[tex] \frac{2 \sqrt{30} }{17} = \sin(t) [/tex]
Now, we can compute
a.
[tex] \sin(s + t) = \sin(s) \cos(t) + \cos(s) \sin(t) [/tex]
[tex] \frac{4}{5} \times \frac{13}{17} + \frac{3}{5} \times ( \frac{2 \sqrt{30} }{17} )[/tex]
[tex] \frac{52}{85} + \frac{6 \sqrt{30} }{85} [/tex]
[tex] \sin(s + t) = \frac{52 + 6 \sqrt{30} }{85} [/tex]
b
[tex] \tan(s + t) = \frac{ \tan(s) + \tan(t) }{1 - \tan(s) \tan(t) } [/tex]
Tan s is 4/3
Tan t is 2 times root of 30/ 13
So we have
[tex] \frac{ \frac{4}{3} + \frac{2 \sqrt{30} }{13} }{1 - \frac{8 \sqrt{30} }{39} } [/tex]
[tex] \tan(s + t) = \frac{52 + 6 \sqrt{30} }{39 - 8 \sqrt{30} } [/tex]
c. They are all in 1st quadrant
Heather drove at a constant rate. She traveled 162162 miles in 33 hours. How far, in miles, did Heather travel in 11 hour?
Answer:
i think its 54054
Step-by-step explanation:
Find the measure of ZC. Write your answer as a decimal
Miguel spent $11 to buy 16 apples and oranges. How many of each type of fruit did he buy F apples cost $0. 75 and oranges cost $0. 65
Answer:
Step-by-step explanation:
x + y = 16
.75x + .65y = 11
75x + 65y = 1100
-75x - 75y = -1200
-10y = -100
y= 10 organes
x + 10 = 16
x = 6 apples
x= 6 apples
y = 10 oranges
Which operation should you perform first in the expression 7 × 2 by the power of 3
Answer:
If the 7 x 2 is in parenthesis then you would do the 7 x 2 first then do 14 by the power of 3. If there is no parenthesis and the power of 3 is hovering next to the 2 then you would do 2 to the power of 3 and then multiply that by 7.
Step-by-step explanation:
PEMDAS. Whatever is in parenthesis gets solved first, then exponents and so on and so forth.
AABC = AEDC, AB = 7, mZA = 40°
mZE = [ ? ]'.
Answer:
40
Step-by-step explanation:
since they are Similar
m∠E = m∠A =40°
Plssss help if you know how to do it I can’t figure it out
Answer:
bbbbbbbbbbbb
...........
.........
using the spinner above, what is the probability that you will land on red or blue?
Answer: 3/4
Step-by-step explanation:
The probability that you will land on either red or blue is equal to the sum of the probability that you will land on red and the probability you will land on blue.
The probability you will land on red is 1/2 and the probability that you will land on red is 1/4 by the image.
Therefore, the probability you will land on either is 1/4 + 1/2 = 3/4
What is the answer to 1/3 divided by 2 is in fractions
Answ1/6
Step-by-step explanation:
1/3 divided by 2
we can change the division sign into multiplication by flipping it and this will also inverse 2
so now we will have
1/3 x 1/2
=1/6
Given R
0
3
2
-9
and S.
-4
5
0
2
What is X if X + R = S?
Answer:
B step by step is the answer
the set of integers is closed numbers the operation division
Answer:
The integers are closed under addition, multiplication and subtraction, but NOT under division
Step-by-step explanation:
9 ÷ 2 = 4½
Find the volume of a cone
Are these shapes similar? Choose all that apply. ( Multiple choice answer )
No, the corresponding sides are not proportional.
Yes, the corresponding sides are proportional.
No, the corresponding angles are not congruent.
Yes, the corresponding angles are all congruent.
Answer:
Yes, the corresponding sides are proportional.
Yes, the corresponding angles are all congruent.
Step-by-step explanation:
The sides are proportional with a ratio of 0.6. The angles are all right angles, making them congruent. Therefore, the two shapes are similar.
I hope this helps!
If an island's only residents are penguins and bears, and if there are 22 heads
and 52 feet on the island, how many penguins and how many bears are on the
island?
Answer:
27 penguins and 43 bears
i hope thats right lol
Step-by-step explanation:
Please help me pick me choose me
Answer:
D
Step-by-step explanation:
School X and School Y play eachother in a competiton.
School X has eight more points than School Y
School X has three times as many points than School Y
How many points does each school have?
Answer:
school x = 12
school y = 4
Step-by-step explanation:
School X has eight more points than School Y.
School X has three times as many points as School Y .
Writing these statements in terms of equation
x = y + 8
x = 3 y
Substituting the value of x in y, we get
3 y = y + 8
Taking variable on left side of equation
3 y – y = 8 (subtract y from both sides)
2 y= 8 (divid 2 from both sides)
y = 4
then plug in y to the first equation
x= y + 8
x= 4 + 8
x= 12
calculate 100% if 50% is 32
Answer:
64
Step-by-step explanation:
100% is twice 50%, which is 32.
64 is twice 32, so is 100%
First plot 1 and -6 on the number line below.
Then answer the parts below.
-10
-5
0
5
10
Х
$
?
(a) Choose the correct statement.
O 1 is located to the left of -6.
O 1 is located to the right of -6.
(b) Use<, >, or to complete the statement.
1 ?
-6
Solve for the value of x.
10x-5
8x+9
Answer:
[tex]\displaystyle 7 = x[/tex]
Step-by-step explanation:
These are alternate interiour angles, and the theorem states that they are congruent, so set both expressions equivalent to each other:
[tex]\displaystyle 10x - 5 = 8x + 9 \Rightarrow \frac{-14}{-2} = \frac{-2x}{-2} \\ \\ \boxed{7 = x}[/tex]
I am joyous to assist you at any time.
Compare the following ratios: (Use >, < or = sign in the place holders)
8) 1:2 ___ 3:6
9) 3:5 ___ 2:4
10) 6:7 ___ 4:8
11) 5:1 ___ 7:9
12) 4:6 ___ 7:6
13) 1:8 ___ 4:11
14) 5:2 ___ 10:4
15) 4:3 ___ 2:4
16) 7:2 ___10:3
Answer:
Step-by-step explanation:
8) 1:2 _<__ 3:6
9) 3:5 _>__ 2:4
10) 6:7 _>__ 4:8
11) 5:1 _<__ 7:9
12) 4:6 _<__ 7:6
13) 1:8 __<_ 4:11
14) 5:2 __<_ 10:4
15) 4:3 _> 2:4
16) 7:2 _<__10:3
The point always points towards the smallest number.
Recognize functions from graphs
11
Does the graph represent a function?
Answer:
yes
Step-by-step
Soo, I need help with these 3 math problems. I don't have enough time to do them before I go to bed.
So these apple pies have a ratio of 15 apples to 3 pies. How many apples do you need for 12 pies?
Answer:
60
Step-by-step explanation:
since 15 apples makes 3 pies you divided 15 by 3 and get 5. 5 apples for one pie so that would be 5 x 12 = 60
Answer:
Since with 15 apples we are able to make 3 pies, this means that in each pie there are 5 apples (15apples divided by 3 pies = 5 apples.)
If there are 12 pies we simply have to multiply 12x5 which equals 60, this means that if we needed to make 12 pies we would need 60 apples.
15apples:3pies = 60apples:12pies
Determine if the two triangles are necessarily congruent. If so, fill in a flowchart proof
to prove that they are.
L
The triangles
necessarily congruent.
Answer:
Step-by-step explanation: