Answer:
x = 3 , y = 4
Step-by-step explanation:
5x + y = 19 --------- ( 1 )
=> y = 19 - 5x
7x - 2y = 13 ------------ ( 2 )
Substitute y in ( 2 ) :
7x - 2( 19 - 5x ) = 13
7x - 38 + 10x = 13
17x = 13 + 38
17x = 51
x = 3
Substitute x in ( 1 ) :
5x + y = 19
5( 3 ) + y = 19
15 + y = 19
y = 19 - 15
y = 4
8. When someone buys a ticket for an airline flight, there is a 0.0995 probability that the person will not show up for the flight. An agent for Air America wants to book 24 people on an airplane that can seat only 22. If 24 people are booked, find the probability that not enough seats will be available. You must show your work using a calculator function to receive credit.
Answer:
0.2952
Step-by-step explanation:
Not enough seats will be available if 23 or 24 people show up.
Required probability = 24C24(0.9005)24 + 24C23(0.9005)23*0.0995 = 0.2952
From two points on the same level as the base of a tree, the angles of elevation to the top of the tree are found to be 24° and 46°. If the two points are 42 feet apart and on the same side of the tree, how tall is the tree? (Give your answer to the nearest tenth of an inch.)
Answer:
the answer is 32.8in.
Step-by-step explanation:
(sin 22)/42 = (sin 24)/x
x = 45.60
sin 46 = x/45.60
x = 32.80
32.8in.
hope it helped :)
mark me brainliest!
Identify the quantities that are equivalent to 250 meters.
Ratio Conversion Table
kilometer (km) : meter (m) 1 : 1,000
meter (m) : centimeter (cm) 1 : 100
centimeter (cm) : millimeter (mm) 1 : 10
Answer:
1. Convert all measurements to meters:
2.5km * 1,000 = 2,500m;.250km * 1,000 = 250m; 2,500cm / 100 = 25m
25,000cm / 100 = 250m; 250mm / 1,000 =.25m
2.) Compare the converted measurements. Therefore, the quantities that are equivalent to 250m are:
.250km; 25,000cm
Step-by-step explanation:
Which problem has a greater (bigger) answer? Solve both, choose the one that has the bigger answer and explain (1-2 sentences) how you found your
answer.
1) (2 + 3) (5 + 5)
2)2 + 3 x 5 + 5 =
I need so much helppppp pleaseeeee
Answer:
Problem 1 has a greater answer.
Step-by-step explanation:
Solve problem 1 using the order of operatiobs PEMDAS (Parentheses, Exponents, multiplication/division, and addition/subtraction):
Multiplication/division depends from left to right of the expression, the same goes to addition/subtraction.
(2 + 3) (5 + 5)
= (5)(10)
= 50
SOLVE problem 2 using PEMDAS:
2 + 3 x 5 + 5
= 2 + 15 + 5
= 17 + 5
= 22
Answer 1 (50) compared to Answer 2 (22):
50 > 22
HOPE THIS HELPS!
f(X) = 10x^3 find inverse
Answer: [tex]y=\sqrt[3]{\frac{x}{10} }[/tex]
Step-by-step explanation:
[tex]f(x)=10x^{3}\\y=10x^{3}[/tex]
switch the x and y:
[tex]x=10y^{3}[/tex]
Now solve for y:
[tex]x=10y^{3} \\\frac{x}{10} =y^{3} \\\sqrt[3]{\frac{x}{10} } =y\\[/tex]
Therefore, the inverse of that function is: [tex]y=\sqrt[3]{\frac{x}{10} }[/tex]
I'm not sure how to do this so I'm just asking for help.
Answer:
C
Step-by-step explanation:
In ∆DEG, we are given that all the three angles are congruent.
This means that all the three angles have equal measure. Thus,
<D = <E = <F
An equilateral triangle has equal angle measure. ∆DEF is an equilateral triangle.
Since the sum of a triangle is 180°, therefore, each angle in ∆DEF = 60°
m<D = 60°
which exponential equation is equivalent to this logarithmic equation log x5 + log x12 =7
Answer:
x⁷ = 60
Step-by-step explanation:
Given :-
log x⁵ + log x ¹² = 7 .To Find :-
The expotential equation .Solution :-
Given logarithmic equation is ,
⇒ log x⁵ + log x ¹² = 7
⇒ log x ⁵ * ¹² = 7 [ log aⁿ + log aⁿ' = log aⁿ * ⁿ' ]
⇒log x ⁶⁰ = 7
In expotential form we can write it as ,
⇒ x⁷ = 60
I didn't understand this to be honest I thought I had to find what jm and lm were together and then subtract from the whole total...but ended up being wrong. whats the correct answer?
Answer:
The correct answer is 3x-2
Step-by-step explanation:
It gives you the expression for JM and LM, and it asks for JL. Therefore, if you take away LM from JM, you are left with JL. You must subtract 2x-6 from 5x-8.
∴5x-8-(2x-6)
Do not forget to distribute the negative since you are subtracting, so instead of subtracting 6 from 8, you will be adding 6 to 8 because two negatives make a positive.
Which of the following consists of discrete data?
A. Number of suitcases on a plane.
B. Amount of rainfall.
C. Hair color.
D. Tree height.
Answer:
A
Step-by-step explanation:
Number of suitcases on a plane is discrete because you can only have an integer amount. You can't have a fraction of a suitcase on a plane.
Side CA of the right triangle CAT is 3cm long. The hypotenuse is 5cm long. How many
square centimeters is the area of CAT?
Answer:
8
Step-by-step explanation:
By taking the number "3" and plus together with the number 5
A rectangle is four times as long as it is wide. If it has an area of 36 square inches, what are its dimension?
a. 6 by 6
c4 by 9
b. 3 by 12
d. 4 and 8
Answer:
C
Step-by-step explanation:
here in the question it is given that it is four times as long as wide and its area is 36 square inches
now as we onow 3×4 =12
therefore here the side becomes four time
now area of rectangle is equal to 12 ×3 =36
round 6.8 to nearest hundredth
Answer:
6.8
Step-by-step explanation:
The number is already rounded to the nearest tenth and hundredth.
verify that whether -2 and 3 are zeroes of the polynomial x^2-x=6
PLEASE HELP
Answer:
Both give remainder 0 for the polynomial
Step-by-step explanation:
p(-2) = (-2)² - (-2) - 6
= 6 - 6 = 0
p(3) = (3)² - 3 - 6
= 9 - 9 = 0
If you apply for a job with Globo Corp, there is a 75% chance that you will get an interview.
If you get an interview, there is a 48% chance that you will get the job.
If you apply for a job with Globo Corp, what is the probability that you will get the job?
Express your answer as a decimal, rounded to the nearest hundredth.
Answer:
The probability that you will get the job If you apply for a job with Globo Corp=0.36
Step-by-step explanation:
We are given that
If you apply for a job with Globo Corp, then the probability of getting interview P(A)=75%=0.75
If you get an interview, then the probability of getting job=P(B)=48%=0.48
We have to find the probability that you will get the job If you apply for a job with Globo Corp.
If you apply for a job with Globo Corp, the probability of getting job=[tex]P(A)\times P(B)[/tex]
If you apply for a job with Globo Corp, the probability of getting job=[tex]0.75\times 0.48[/tex]
If you apply for a job with Globo Corp, the probability of getting job=0.36
Hence, the probability that you will get the job If you apply for a job with Globo Corp=0.36
Someone please help me ASAP!
Answer:
The 3rd
Step-by-step explanation:
If x goes to infinity, f(x) goes to infinity too:
[tex]lim \: \frac{2 {x}^{2} }{3x - 1} = lim \frac{2x}{3 - \frac{1}{x} } = \frac{ 2 \times \infty }{3 - 0} = \infty [/tex]
The sum of 5 consecutive integers is 505. What is the second number in this sequence?
Answer:
The second number is 100.
Step-by-step explanation:
Let the first integer be x.
Then since the five integers are consecutive, the second integer will be (x + 1), the third (x + 2), fourth (x + 3), and the fifth (x + 4).
They total 505. Hence:
[tex]\displaystyle x+(x+1)+(x+2)+(x+3)+(x+4)=505[/tex]
Solve for x. Combine like terms:
[tex]5x+10=505[/tex]
Subtract 10 from both sides:
[tex]5x=495[/tex]
And divide both sides by five. Hence:
[tex]x=99[/tex]
Thus, our sequence is 99, 100, 101, 102, and 103.
The second number is 100.
How to solve it and explain it
Answer:
28.27 in²
Step-by-step explanation:
The equation for the area of a circle is A = π[tex]r^{2}[/tex]. However, we got the diameter.
diameter = 2(radius), so:
A = [tex]\frac{1}{4}[/tex]πd².
A = 1/4 * π * 6² ≈ 28.27433
When Claire chooses a piece of fruit from a fruit bowl, there is a 22% chance that it will be a plum, an 18%
chance that it will be an orange, and a 60% chance that it will be an apple. Which type of fruit is she least likely
to choose?
Answer:
Orange
Step-by-step explanation:
As the chance of choosing orange is 18% which is the least.
What is the length of my
?
M
3x
X + 8
7639
630
N
¿
O
A. 8
B. 4
C. 16
a
D. 12
Answer:
The length of MN is 4
Choose B
A modified roulette wheel has 36 slots. One slot is 0, another is 00, and the others are numbered 1 through 34, respectively. You are placing a bet that the outcome is an even number. (In roulette, 0 and 00 are neither odd nor even.) a. What is your probability of winning?
Answer:
[tex]P(win) = 0.4722[/tex]
Step-by-step explanation:
Given
[tex]n = 36[/tex] --- slots
[tex]Even = 17[/tex] i.e. even numbers between 1 and 34 (inclusive)
Required
[tex]P(win)[/tex]
The probabiity of winning is the number of even numbers divided by the total slot;
i.e.
[tex]P(win) = \frac{Even}{n}[/tex]
So, we have:
[tex]P(win) = \frac{17}{36}[/tex]
[tex]P(win) = 0.4722[/tex]
i gave someone a Brainliest pls
Answer:
i think the mistake was in step 1
Step-by-step explanation:
find the measures of m and n.
Answer:
m = 4
n = 5
Step-by-step explanation:
[tex]m + 8 = 3m\\\\m - 3m = - 8\\\\-2m = - 8\\\\m = 4[/tex]
[tex]2n - 1 = 9 \\\\2n = 9 + 1\\\\2n = 10\\\\n = 5[/tex]
In a test of a heat-seeking rocket, a first rocket is launched at 2000 fts and the heat-seeking rocket is launched along the same flight path 20 s later at a speed of 3000 fts. Find
the timest, and t, of flight of the rockets until the heat-seeking rocket destroys the first rocket
What are the times of the flight?
Answer:
Time of flight of first rocket = 60 seconds
Time of flight of second rocket = 40 seconds
Step-by-step explanation:
Let the time of flight of first rocket be t1.
Since the second rocket is launched 20 seconds later, then it means that;
t1 = t2 + 20
Where t2 is the time of flight of the second rocket.
When destruction has occurred, it means that both of the rockets would have covered the same distance.
We know that;
Distance = speed × time
Thus;
2000t1 = 3000t2
We know that t1 = t2 + 20
Thus;
2000(t2 + 20) = 3000t2
2000t2 + 40000 = 3000t2
3000t2 - 2000t2 = 40000
1000t2 = 40000
t2 = 40000/1000
t2 = 40 seconds
Thus;
t1 = 40 + 20
t1 = 60 seconds
Complete the following statement.
Answer:
Hello dude
[tex] - 1 \frac{21}{24} + 1 \frac{22}{24} = + \frac{1}{24} [/tex]
so it's positive
HAVE A NİCE DAY
Step-by-step explanation:
GREETİNGS FROM TURKEY ツ
An 8-oz bottle of hair spray costs $4.46. Find the unit price in cents per ounce
Answer:
55.75 cents per ounce
Step-by-step explanation:
Take the cost and divide by the number of ounces
We want cents per ounce so change dollars to cents
446 / 8
55.75 cents per ounce
Cole biked at 5 mph for 1 hours. Which of the following choices show how far he biked?
A=5.5 miles
B=6.5 miles
C=7.5 miles
D=10 miles
Answer:
Most Likely A, 5.5 Miles
Step-by-step explanation:
However the question doesn't make sense as the logical answer is simply 5 miles, but the safest choice is 5.5
A student selecting 3 classes for Winter quarter there are 4 drawing and design courses 3 general education courses and 3 other majors that can fit in their schedule it said student is only taking one course from each category determine the number of possible class schedules
Answer:
36 possible class schedules
Step-by-step explanation:
1st - 4 ways
2nd - 3 ways
3rd - 3 ways
4 x 3 x 3 = 36 possible class schedules
The number of possible class schedules is 36.
What is a permutation?The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.
Given:
A student selecting 3 classes for Winter quarter.
There are 4 drawing and design courses, 3 general education courses and 3 other majors that can fit in their schedule,
it said student is only taking one course from each category.
The possible class schedules,
= 4 x 3 x 3
= 36 possible ways.
Therefore, there are 36 possible ways.
To learn more about the permutation;
https://brainly.com/question/1216161
#SPJ2
There are 4 contestants in a beauty pageant. How many results are possible for the first, second, and third place?
Explanation:
There are 4 choices for first place, 3 choices for second place, and 2 choices for third place. Overall, there are 4*3*2 = 24 permutations.
Please help me. A) vertical angle. B) complementary angle. C) supplementary angle. D) none of the above
(C)
Step-by-step explanation:
The sum of angles a and b is 180°, which make the two supplementary angles.
The length of a rectangle is 12 m and its diagonal is 15 m. find
the breadth and area of the rectangle.
Answer:
108 square metres
Step-by-step explanation:
A=√d square - l square
here
A = area
d= diagonal
l= length