Answer:
Sushil gets $219.
Step-by-step explanation:
With the information provided, you can write the following equations:
It says that £730 is divided between June, Sushil & Fiona, which can be expressed as:
x+y+z=730 (1), where:
x is the amount June gets
y is the amount Sushil gets
z is the amount Fiona gets
Also, the statement indicates that June gets twice as much as Sushil which means that the amount June gets is equal to two for the amount Sushil gets:
x=2y (2)
Besides, you know that Sushil gets three times as much as Fiona which means that the amount Sushil gets is equal to 3 for the amount Fiona gets:
y=3z (3)
Now, you can replace (3) in (1) and (2) and you will have 2 new equations:
x=2(3z)
x=6z (4)
x+3z+z=730
x+4z=730 (5)
You have the following equations:
x=6z (4)
x+4z=730(5)
Next, you can replace (4) in (5) and solve for z:
6z+4z=730
10z=730
z=730/10
z=73
Now, you can replace the value of z in (3):
y=3z
y=3(73)
y=219
Finally, you can replace the value of y in (2):
x=2y
x=2(219)
x=438
According to this, the answer is that Sushil gets $219.
Solve for the length of x
Answer:
[tex]\boxed {\boxed {\sf x\approx 63.7}}[/tex]
Step-by-step explanation:
This is a right triangle. We know this because there is a small square in the corner representing a 90 degree/right angle. Therefore, we can use the right triangle trigonometry ratios.
sinθ= opposite/hypotensue cosθ= adjacent/hypotenuse tanθ= opposite/adjacentWe are given angle A which measures 37 degrees.
Side BC which measures 48 is opposite angle A and the unknown side, x, is next to or adjacent to angle A.
We should use tangent.
[tex]tan \theta= \frac{opposite}{adjacent}}[/tex]
[tex]tan37= \frac {48}{x}[/tex]
Since we are solving for x, we must isolate the variable. First, cross multiply. Multiply the first numerator and the second denominator, then the first denominator and second numerator.
[tex]\frac {tan37}{1}=\frac {48}{x}[/tex]
[tex]tan37*x=48*1[/tex]
[tex]tan37*x= 48[/tex]
x is being multiplied by the tangent of 37. The inverse of multiplication is division, so we divide both sides by the tangent of 37.
[tex]\frac {tan37 *x}{tan37}=\frac{48}{tan37}[/tex]
[tex]x= \frac{48}{0.7535540501}}[/tex]
[tex]x=63.69815144[/tex]
Even though it is not specified, let's round to the nearest tenths place. The 9 in the hundredth place tells us to round the 6 up to a 7.
[tex]x\approx 63.7[/tex]
The unknown side is approximately 63.7 units long.
If a vector V is in standard position and the tip of the vector corresponds to the point (a, b), then we can write the vector in component form as
Answer:
[tex]V = <a,b>[/tex]
Step-by-step explanation:
Given
[tex]P= (a,b)[/tex] --- Point
Required
Component of V
From the question, we understand that V is in standard position.
This implies that V starts at the origin (0,0) and ends at (a,b)
So, vector V is:
[tex]V = <P(a,b) - O(0,0)>[/tex]
This gives:
[tex]V = <a-0,b-0>[/tex]
[tex]V = <a,b>[/tex]
PLEASE HELP ME WITH THIS
Answer:
2.a..A=1/2 ×1.0×2.4=1.2m²
b.area of rectangle button=l×w=2.4×2.8=6.72m²
c.area of back =l×w=1.0×2.8=2.8m²
d.area of top =l×w=2.8×2.6=7.28m²
3.
total area =2×area of traingular side +area of rectangle button+c.area of back+area of top
=2×1.2+6.72+2.8+7.28=19.2m²
4.Assumption
total area of triangular prism is
sum of area if each faces.
The school that Sarawong goes to is selling tickets to a play. On the first
day of ticket sales the school sold 13 senior citizen tickets (s) and 5 child
tickets (c) for a total of $125. The school took in $85 on the second day
by selling 5 senior citizen tickets and 5 child tickets. What is the price
each of one senior citizen ticket and one child ticket?
Write the two equations to solve the system first. Use s for senior
citizens and use c for child. Show all work using the method you prefer.
Equations:
Answer:
12s + 5c = 125
5s + 5c = 85
price of senior citizen ticket = $5.71
price of a child's ticket = $11.29
Step-by-step explanation:
This question can be solved using simultaneous equation
12s + 5c = 125 equation 1
5s + 5c = 85 equation 2
subtract equation 1 from 1
7s == 40
s = 40/7 = 5.71
Substitute for s in equation 1
12(5.71) + 5c = 125
68.57 + 5c = 125
5c = 125 - 68.57
5c = 56.43
c =11.29
HELP ASAP PLEASE I'LL MARK BRAINLIEST
Answer:
the answer is C
PLEASE HELP!!!!
Given f(x).... what is lim f(x)?
Answer:
[tex] \pi[/tex]
Step-by-step explanation:
[tex] Lim_{x \to\pi} f(x) [/tex]
[tex] =Lim_{x \to\pi} \pi [/tex]
([tex] \because for\: x =\pi, \: f(x) = \pi[/tex])
[tex] = \pi [/tex] (Applying limit)
I’m not sure how to solve, what do I need to do??
Answer:
Step-by-step explanation:
It's helpful to draw it out, but you need a calculator for this.
You have the values of line b, line c, and angle C.
You can use sinC / c since you have C and c.
Solve for sinB by doing sinB/5.7 = sinC/8.6
you'll get the value of sinB, use inverse trig to solve for B (sin^-1)
Then you'll have the angle values for C and B. Add them, and subtract by 180 to find the angle measure of A.
Use the steps above to find a:
sinA (which u just found) / a = sinC (125) / c (8.6)
Hope this helps.
Each card in a set of cards has one of the letters from the word MATHEMATICS. The cards are shuffled. Suppose you draw a card from the set of cards, record the letter, return the card to the set, and shuffle the cards. You repeat this experiment 22 times. Would you expect the experimental probability of drawing a vowel to be the same as the theoretical probability? YES or NO and Explain you answer
Answer:
No
Step-by-step explanation:
Theoretical probability is the expected probability of anything. For example we expect a probability of 1/6 for each number when we roll a die .
Experimental Probability is the one that is obtained by the actual experimenting of rolling the die.
The theoretical probability is the example of perfect probability and experimental probability is the example of actual occurrence.
Their formulas are
Theoretical Probability = number of possible outcomes/ total number of possible outcomes
Experimental Probability = number of favorable outcomes/ total number of actual outcomes
If we a roll a fair die several times we may get 2 repeated number of times or any other number that is on the die.
So the experimental probability is bit different from the theoretical probability.
Now if the cards are shuffled and the experiment is repeated 22 times
experimental probability of drawing a vowel would not be the same as the theoretical probability because n is small.
If n→1000 or more
n→∞
According to K. Pearson or Buffon when n tends to infinity the theoretical probability becomes equal to experimental probability.
They experimented this on a coin and put forward their results.
X désigne un nombre quelconque. Exprimer à l'aide d'une expression littérale : a. La somme de x et de 12 b. Le produit de x par 5 c. La différence entre 17 et x d. Le quotient de x par 9
Answer:
L'expression littérale est la suivante
a) La somme de x et 12 b
Solution
X + 12b
b) Le produit de x par 5
Solution
X * 5
c) La différence entre 17 et x
Solution
17-X
d) Le quotient de x par 9
X / 9
Step-by-step explanation:
L'expression littérale est la suivante
a) La somme de x et 12 b
Solution
X + 12b
b) Le produit de x par 5
Solution
X * 5
c) La différence entre 17 et x
Solution
17-X
d) Le quotient de x par 9
X / 9
the variable term in 2 to the third power - 4 is
Answer:
-4²
Step-by-step explanation:
Mr. Bates and Mr. Z want to refinish the community center gym floor. The rectangular floor is 15.2 m wide and 25.6 long. If each gallon of polyurethane covers about 180 square meters, how many gallons should Mr. Bates and Mr. Z buy? *
Answer:
3 gallons
Step-by-step explanation:
area = 15.2 x 25.6 = 389.12 m²
389.12/180 = 2.16
Evaluate the expression for s = -1.
Answer:
the expression for s = -1.
is s+1=0
I need help I don’t understand this thank you so much
Answer:
The answer is 3,200 oz.
Step-by-step explanation:
Because since 16 oz. is equal to 1 pound, you can multiply 16 and 200 and get a result of 3,200
The perimeter of a rectangular building is 462 meters. It is 131 meters long. How wide is it?
Martin paid $6 for4 avocados at a farm stand. He wants to know what the price would be if he bought 6 avocados
Answer:
$9
Step-by-step explanation:
divide 6/4 to get the price per avacado so its $1.5 per avacado.
multiply 1.5 x 6 = 9
In a blind taste test, 25 people chose brand A, 15 people chose brand B, and 10 people chose
brand C. There are 200 more people to be surveyed. Based on the data, which is most likely.
to happen?
About 10 more people will choose brand B than brand C.
About 30 more people will choose brand C.
About 30 more people will choose brand A than brand B.
About 100 more people will choose brand A.
Answer: About 100 more people will choose brand A.
Step-by-step explanation:
Number of people who chose brand A = 25
Number of people who chose brand B = 15
Number of people who chose brand C = 10
Total number of people = 25+10+15 = 50
Since there are 200 people left, we'll equate them based on the data given and this will be:
For A = 25/50 × 200 = 100
For B = 15/50 × 200 = 60
For C = 10/50 × 200 = 40
Therefore, about 100 more people will choose brand A.
Answer:
About 100 more people will choose brand A
Step-by-step explanation:
i ready:)
Two partners are starting a new business. The total investment is $52,000.
Their investments are in the ratio 3:7. How much does each investor contribute?
Answer:
One partner will pay $15600 and the other would pay $36400
Step-by-step explanation:
52000 ÷ (3 + 7) =
52000 ÷ 10 =
5200
5200 x 3 = 15600
5200 x 7 = 36400
Please help! Thanks in advance!!
Mrs. Smith has a 34-pound bag of sugar to use for 6 cakes. How much sugar, in lbs, is used for each cake? Round your answer to the hundredths
Answer:
5 2/3 pound of 1 cake
Step-by-step explanation:
34 / 6 =
(30 / 6) + (4 / 6) =
5 + 2/3 =
5 2/3
This is a Single Choice Question; skip ahead to question content
A
B
C
D
E
Confirm
A disinfectant spray bottle says it eliminates 90% of bacteria with each application. You apply the disinfectant once to a countertop in the shipping department and then apply the disinfectant again to the same countertop. If the bottle is correct, what percentage of the bacteria originally on the tabletop have been eliminated?
81%
90.09%
90.9%
99%
180%
guys answer fastyyytytttttt
Answer:
1/4
Step-by-step explanation:
there are 2 footballers
and 8 other sports
therefore, 2/8 or 1/4
Which of the following is NOT an integer?
-99
0
57
3.719
The bus left Little Rock at 3:10pm and arrived at Dallas at 7:40pm. How long did it take to get from one town to the other?
Answer:
4 hrs 30 mins
Step-by-step explanation:
PQR is congruent to JKL.
Which sequence of transformations maps
PQR onto JKL?
Is this SOH, CAH, or TOA? Explain why you’re correct.
Answer:
Step-by-step explanation:
If you're referring to angle B then it's SOH
Opposite is 5 and Hypontenuse is 7
sorry if the lighting is bad
it's about number lines
no links
1st graph all the negative & positive numbers
The opposite of 2 is -2 because it's a negative number ( opposite of 2 )
5. Each polygon circumscribes a circle. Find the perimeter.
1.9 in.
3.7 in.
in
3.6 in.
A) 14.2 in
B) 16.8 in
C) 18.2 in
D) 20.1 in
See the diagram of the circumscribed polygon attached below:
Answer:
A. 14.2 in.
Step-by-step explanation:
Perimeter = 3.7 + 3.6 + 3.4 + 1.9 + g
Let's find g.
a = 1.9 in. (Tangents drawn from an external point of a circle are congruent)
b = 3.4 - 1.9 = 1.5 in.
b = c = 1.5 in. (Tangents drawn from an external point)
d = 3.6 - 1.5 = 2.1 in.
d = e = 2.1 in. (Tangents drawn from an external point)
f = 3.7 - 2.1 = 1.6 in.
f = g = 1.6 in. (Tangents drawn from an external point)
✔️Therefore,
Perimeter = 3.7 + 3.6 + 3.4 + 1.9 + 1.6 = 14.2 in.
QU | RT. Find TU.
Help plz...No links!! I will report!!
Answer:
34
Step-by-step explanation:
We solve the above question using Triangle Proportionality Theorem
This states that:
TU : TS = QR : RS
TU/TS = QR/RS
TU = ?
TS= 17
RS = 13
QR = 26
Hence,
TU/7 = 26/13
Cross Multiply
13 × TU = 17 × 26
TU = 17 × 26/13
TU = 17 × 2
TU = 34
Therefore, TU = 14
select the graph that matches the function y=3x+7
Answer:
the second option
Step-by-step explanation:
Example 1
Suppose you are playing a card game with a standard deck of playing cards and you are dealt four cards, one after another, from the top of the deck. Leave answers in percent form.
A. P(four aces)
B. P(four hearts)
C.P(four face cards)
35/z=20/4 solve the proportion
plz help me solve this
Answer:
35 / 7 = 20 / 4
Step-by-step explanation:
20 / 4 equals to 5
35 / 7 equals to 5