Answer:
x = 15/2
Step-by-step explanation:
2x + 15 = 30
2x = 15
x = 15/2 or 7.5
Answer:
7.5
Step-by-step explanation:
2x+15=30
2x=30-15
2x=15
x=7.5
Ming would like to buy a plane ticket so she can visit her family this Thanksgiving, which is November 26. She has found that tickets for flights on days closer to Thanksgiving are more expensive than flights on days further away from Thanksgiving. A calendar from an airline company showing ticket prices by day is below.
Answer:
$165
Step-by-step explanation:
Answer:
156$
Step-by-step explanation:
Rebecca earns $6.25 per hour working after school. She needs at least $125.00 if she wants to buy a new bicycle. Which inequality shows the solution to how many hours Rebecca must work to earn the money for the bicycle? Let h equal the number of hours Rebecca must work.
Answer: the answer is in the steps.
Step-by-step explanation:
6.25h ≤ 125.00
I NEED HELP NOW PLZ. What is the mean of the data set?
17, 24, 25, 13
Answer:
19.75
Step-by-step explanation:
U add the, all up then divide by 4
Answer:
19.75
Step-by-step explanation:
17+24+25+13= 79
79/4= 19.75
Two fire-lookout stations are 14 miles apart, with station B directly east of station A. Both stations spot a fire. The bearing of the fire from station A is Upper N 35 degrees E and the bearing of the fire from station B is N 30 degrees W. How far, to the nearest tenth of a mile, is the fire from each lookout station?
The fire is a distance of 9.33 miles from Station A and 4.67 miles from Station B.
Let's denote the distance of the fire from station A as "x" and the distance of the fire from station B as "y".
From station A, the bearing of the fire is N 35° E. This means that if we draw a line connecting station A and the fire, the angle between this line and the north direction is 35°.
Similarly, from station B, the bearing of the fire is N 30° W. This means that the angle between the line connecting station B and the fire and the north direction is 30°.
Now, let's construct a triangle with vertices at Station A, station B, and the fire. The line connecting station A and station B represents the base of the triangle, and the lines connecting station A and the fire and station B and the fire represent the two sides of the triangle.
Since the triangle is isosceles (both sides are equal), the angles opposite the two sides will also be equal.
Let's denote the angle opposite side x as α and the angle opposite side y as β.
From the given bearings, we can determine the values of α and β:
α = 180° - 35° = 145°
β = 180° - 30° = 150°
Now, using the Law of Sines, we can set up the following ratios:
sin(α) / x = sin(β) / y
Solving for y, we get:
y = (sin(β) / sin(α)) * x
Substituting the known values, we have:
y = (sin(150°) / sin(145°)) * x
Using a calculator, we can evaluate the sin(150°) and sin(145°) to get:
y = (0.5 / 0.996) * x
y = 0.501 * x
Since the two stations are 14 miles apart, we know that x + y = 14.
Substituting the value of y from the previous equation, we have:
x + 0.501 * x = 14
1.501 * x = 14
x = 14 / 1.501
x ≈ 9.33
Now, to find the value of y, we can substitute the value of x into the equation:
y = 0.501 * x
y = 0.501 * 9.33
y ≈ 4.67
Therefore, the fire is 9.33 miles from Station A and 4.67 miles from Station B.
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The fire is approximately 38.7 miles away from station A and 38.4 miles away from station B.
To solve this problem, we can use trigonometry and create a diagram to visualize the situation.
Now, let's label the diagram. We'll use the following labels:
A: Fire-lookout station A
B: Fire-lookout station B
F: Fire's location
Next, we need to determine the angles and distances involved. From the problem statement, we know the bearing of the fire from station A is N 35° E, and the bearing of the fire from station B is N 30° W. Let's mark these angles on the diagram.
To find the distance of the fire from each station, we can consider the angles formed between the stations and the fire. The sum of these angles should be 180° since we have a straight line. Let's find the missing angles by subtracting the given angles from 180°.
For station A:
Angle A = 180° - 35° = 145°
For station B:
Angle B = 180° - 30° = 150°
Now, let's draw lines from each station to the fire, and label the distances as dA and dB.
We can use trigonometry (specifically, the tangent function) to find the distances dA and dB. Tangent of an angle is equal to the opposite side divided by the adjacent side.
For station A:
tan(145°) = opposite side (dA) / adjacent side (14 miles)
dA = 14 * tan(145°)
For station B:
tan(150°) = opposite side (dB) / adjacent side (14 miles)
dB = 14 * tan(150°)
Now, let's calculate these distances using a calculator.
dA = 14 * tan(145°) ≈ 38.7 miles
dB = 14 * tan(150°) ≈ 38.4 miles
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What is the value of the expression (–5) -3 but the -3 is an exponent.
Answer:
Answer: -0.008
Step-by-step explanation:
Hope this helped!
The perimeter of quadrilateral ABCD is 640. The perimeter of quadrilateral LMNO is 144. What is LM
Answer:
LM = 36
Step-by-step explanation:
A quadrilateral is a shape with 4sides. There are different type of quadrilateral such as square, rectangle, trapezium, parallelogram, kite and rhombus.
Perimeter of a quadrilateral is the addition of all 4 sides.
Since the shape is not specified neither is there a diagram, let's assume the quadrilateral is a square.
See attachment for diagram used in solving the question.
Perimeter of square = length+ length+ length+ length
= 4× length
Perimeter of quadrilateral ABCD:
640 = 4×length
Length = 640/4
Length = 160
Perimeter of quadrilateral LMNO:
144 = addition of all 4 lengths
144 = LM + MN + NO +OL
Since we are considering a square all the sides are equal.
LM = MN = NO = OL
144 = 4×LM
LM = 144/4
LM = 36
A triangle has sides with lengths of 8 centimeters, 14 centimeters, and 16 centimeters. Is it a right triangle?
Answer:
No, the triangle is not a right triangle
Step-by-step explanation:
In this question, we are asked to determine if the triangle having the lengths given in the question is a right triangle.
To answer this question, we need to take into consideration a very important property of right angle triangles.
The property is that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two other sides
The hypotenuse is the one with the longest length. Thus, the hypotenuse here is 16 centimeters.
Now let’s have the squares!
The square of the hypotenuse is 16 * 16 = 256
Let’s sum the squares of the other two sides;
(8 * 8) + ( 14 * 14) = 64 + 196 = 260
These squares are not equal so we can conclude that the triangle is not a right triangle
2.25x = 1.5x + 6
What is the value of x
Answer:
x=8
Step-by-step explanation:
2.25x=1.5x+6
-1.5x -1.5x
0.75x=6
3/4x=6
x=6*4/3
x=24/3
x=8
Answer:
8
Step-by-step explanation:
Look at the attachment
At a camp, kids can choose swimming, art, or music.
40 kids choose swimming, 16 choose art, and 24 choose music.
What is the ratio of kids who choose art to kids who choose swimming?
Answer:
3:5
Step-by-step explanation:
all figures can be divided by 8, so
swimming- 40/8= 5
arts 16/8= 2
music 24/8= 3
therefore, the ratio would be 3:5
Answer:
3/5
Step-by-step explanation:
I took it but got it wrong so i did the math problem and got this 3/5
Please hurry!
Which of the following is true of the values of x and y in the diagram below?
A. y < x
B. y > x
C. y + x = 1
D. y/x = 1
Answer:
y/x = 1
Step-by-step explanation:
sin 45 = cos 45 = y /1 = x/1
so y = x
or y/x =1
Question 11 point(s) Jared made Ask Your Teacher cups of snack mix for a party. His guests ate Ask Your Teacher of the mix. How much snack mix did his guests eat?
Answer:
[tex]8\frac{1}{2}[/tex] cups
Step-by-step explanation:
To determine the quantity of snack mix Jared guest ate, we multiply the quantity of snack mix the guest ate by the quantity of snack mix Jared made. i.e we determine [tex]\frac{2}{3}of12\frac{3}{4}[/tex] by multiplying both fractions together
quantity of snack mix Jared guest ate = [tex]\frac{2}{3}of12\frac{3}{4}=\frac{2}{3}*12\frac{3}{4}=\frac{2}{3}*\frac{51}{4}=\frac{17}{2} =8\frac{1}{2}[/tex]
13 POINTS!!!
In ΔJKL, j = 74 inches, k = 14 inches and l=67 inches. Find the measure of ∠L to the nearest degree.
Answer:
55°
Step-by-step explanation:
Using cosine law
67² = 74² + 14² - 2(74)(14)cos(L)
cos(L) = 169/396
L =55.18378419
The measure of angle L to the nearest degree is 55°.
What is Law of Cosines?Law of cosines of triangle states that for three length of sides of the triangle, a, b and c opposite to the angles A, B and C respectively can be related as,
a² = b² + c² - 2bc cos(A)
Given, for a triangle JKL,
j = 74 inches, k = 14 inches and l = 67 inches.
We can use law of cosines to find the measure of angle L.
Using the law of cosines,
l² = j² + k² - 2jk cos(L)
67² = 74² + 14² - (2×74×14) cos(L)
4489 = 5476 + 196 - 2072 cos(L)
4489 = 5672 - 2072 cos(L)
-1183 = - 2072 cos(L)
cos (L) = 0.5709
L = 55.18° ≈ 55°
Hence the measure of angle L is 55°.
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Answer:
D.
Step-by-step explanation:
So find what two numbers multiply to 72 and add up to 17
9 and 8
(z + 9)(z + 8)
Answer:
D. (z + 9)(z + 8)
Step-by-step explanation:
Let's factor z2+17z+72
z2+17z+72
The middle number is 17 and the last number is 72.
Factoring means we want something like
(z+_)(z+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 17
Multiply together to get 72
Can you think of the two numbers?
Try 8 and 9:
8+9 = 17
8*9 = 72
Fill in the blanks in
(z+_)(z+_)
with 8 and 9 to get...
so (z + 9)(z + 8)
Laura drives a garbage truck that weighs 3 tons. She picked up 2 tons of recyclables. What is the total weight in pounds of the garbage truck and recyclables?
Answer:
Step-by-step explanation:
Total weight=The garbage truck weight + recyclables weight =3 tons + 2 tons = 5 tons
Answer: 5
Step-by-step explanation:
3+2=5
Which algebraic expression is equivalent to this expression?
5(3x+2)+18
Answer:
15x+28
Step-by-step explanation:
15x+10+18
15x+28
An art teacher buys 9 bags of cotton balls. There are 68 cotton balls in each bag.
Which expression is best to estimate the number of cotton balls the teacher
buys?
9+70
9*60
9*70
9+60
Answer:
9*70
Step-by-step explanation:
It is not 9+70 or 9+60 because for this problem multiplication is required.
This problem seems to want you to round to the nearest ten's place. Because the one's place in 68 is above 5, the number will round up.
This means that the answer will be 9*70
Answer:
9*70
Step-by-step explanation:
Find the quotient.
3 divided by 3636
A. 1,212
B. 1,202
C. 122
D. 112
E. 102
help asap!!
What is the measure of STR
Answer:
Str (Texture aspect ratio) Str is a measure of uniformity of the surface texture
Step-by-step explanation:
A cylindrical swimming pool is approximately 12 feet wide and 4 feet deep. About how many gallons of water can the swimming pool contain? Remember that 1 cubic foot is approximately 7.48 gallons.
Answer:
Step-by-step explanation:
Since the swimming pool is cylindrical, we would find its volume by applying the formula for determining the volume of a cylinder which is expressed as
Volume = πr²h
Where
r represents radius of the cylinder
h represents height
π = constant = 3.14
From the information given,
Diameter = 12 feet
Radius, r = diameter/2 = 12/2 = 6 feet
h = 4 feet
Volume = 3.14 × 6² × 4 = 452.16ft³
Since 1 cubic foot is approximately 7.48 gallons, the number of gallons of water that the swimming pool can contain is
452.16 × 7.48 = 3382.16 gallons
Can you help me find x?
Answer:
Im 99 percent sure its b or c
Step-by-step explanation:
but wait for the other kid to answer
A submarine travels 19 miles in 1/2 hour. Write an equation to find out how long it would take the submarine to travel 57 miles at the same rate. Then find the time.
Answer:
1.5 hours
Step-by-step explanation:
We can write a ratio to solve
19 miles 57 miles
-------------- = --------------
.5 hours x hours
Using cross products
19x = 57*.5
19x =28.5
Divide each side by 19
19x/19 = 28.5/19
x =1.5
1.5 hours
I put the wrong answer don’t mind me
Grace hit 12 balls in the batting cage out of 20 pitches. Tomorrow she is going to go to the same batting cage and get 30 pitches.
Use experimental probability to predict how many of the 30 pitches she will hit.
Answer:
she is expected to hit 18 out of the 30 pitches
Step-by-step explanation:
In this question, we are required to use experimental probability to make a prediction.
From the hits she has today, we can estimate the number of hits she might be getting tomorrow.
Since she made 12 hits out of 20 today, the probability that she has a hit will be 12/20 = 3/5
Now if she is having 30 pitches tomorrow, the expected number of hits would be the probability of getting a hit multiplied by the total number of pitches.
That would be 3/5 * 30 = 18 pitches
Divide x³+x²+x+1 by x+1
Answer:
x^2+1
Step-by-step explanation:
x^3+x^2+x+1 / x+1
=(x+1)(x^2+1) / x+1
reduce (x+1) and x+1 and you will get x^2+1
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!
Answer:
C. Exponential decay
Step-by-step explanation:
Question 11 (1 point)
Identify the literary device being used - "It's so delightful to be home with a sick child twice in one week."
Blank 1:
Answer:
no clue bud
Step-by-step explanation:
What is the y intercept of y= -3x
A (-3,0)
B ( -3,-3)
C (0,0)
D (0, -3)
Please answer ASAP
Answer:
(0,0)
Step-by-step explanation:
y= -3x
The y intercept is the y value when x =0
Let x =0
y = -3(0)
y = 0
(0,0)
Answer:
C.
Step-by-step explanation:
You can either graph this function to find the y-intercept or set x =0 and solve for y.
A CONE IS 1/3 OF A CYLINDER, SO THE VOLUME FORMULA IS 1/3 THE CYLINDER.
I etavidewifdwcvefoewf
I’m not sure what that meant.
Answer:
cool
Step-by-step explanation:
Captain Nadia has a ship, the H.M.S Crimson Lynx. The ship is two furlongs from the dread pirate Tiffany and her merciless band of thieves.
If her ship hasn't already been hit, Captain Nadia has probability \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction of hitting the pirate ship. If her ship has been hit, Captain Nadia will always miss.
If her ship hasn't already been hit, dread pirate Tiffany has probability \dfrac{2}{7}
7
2
start fraction, 2, divided by, 7, end fraction of hitting the Captain's ship. If her ship has been hit, dread pirate Tiffany will always miss.
If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that the Captain misses the pirate ship, but the pirate hits?
Answer:
Step-by-step explanation:
im confuesd here
Pedro has determined that the probability his shot will score in a lacrosse game is 0.30. What is the probability that he will score on two consecutive shots? 0.09 0.15 0.30 0.60 Jillian has three different bracelets (X, Y, and Z) to give to her friends as gifts in any order she prefers. If bracelet Y is chosen first, in how many ways can Jillian give out the bracelets? 1 2 3 4
Answer:
a) 0.09
b) 2 ways
Step-by-step explanation:
a) Probability Pedro's shot will score will be given as) :
P(score) = 0.30
The probability he will score in 2 consecutive shots will be calculated as:
P(score) * P(score)
= 0.30 * 0.30
= 0.09
Therefore, probability he will score in 2 consecutive shots is 0.09
b) Jillian has 3 bracelets: X, Y, & Z as a gift. If bracelet Y is chosen first, the number of ways Jillian can give out the bracelets since bracelet Y is chosen first, she will have 2 bracelets remaining. So, number of ways to distribute these 2 bracelets are :
= 2!
= 2 * 1
= 2
Which could be in this order:
YXZ or YZX
Therefore, the number of ways if Y is chosen first is = 2 ways
Answer: A. 0.09
Just took test.