Answer:
Value of h greater than 5.4 will make inequality false.
Step-by-step explanation:
This question is incomplete; here is the complete question.
The Jones family has saved a maximum of $750 for their family vacation to the beach. While planning the trip, they determine that the hotel will average $125 a night and tickets for scuba diving are $75. The inequality can be used to determine the number of nights the Jones family could spend at the hotel 750 ≥ 75 + 125h. What value of h does NOT make the inequality true?
From the given question,
Per night expense (expected) = $125
If Jones family stays in the hotel for 'h' days then total expenditure on stay = $125h
Charges for scuba diving = $75
Total charges for stay and scuba diving = $(125h + 75)
Since Jones family has saved $750 for the vacation trip so inequality representing the expenses will be,
125h + 75 ≤ 750
125h ≤ 675
h ≤ [tex]\frac{675}{125}[/tex]
h ≤ 5.4
That means number of days for stay should be less than equal to 5.4
and any value of h greater than 5.4 will make the inequality false.
A motorboat sets out in the direction Upper N 70 degrees 48 prime Upper E. The speed of the boat in still water is 34.4 mph. If the current is flowing directly south, and the actual direction of the motorboat is due east, find the speed of the current and the actual speed of the motorboat.
Answer:
11.31 mph
Step-by-step explanation:
60' = 1°
48'=x°
X = 48/60
X = 0.8°
Hence 70°48' = 70.8°
θ = 90°-70.8°
θ = 19.2°
Sin 19.2 = bc/34.4
Bc = sin 19.2 × 34.4
Bc = 0.32866×34.4
BC = 11.31 mph
Use compatible numbers to estimate the quotient. 8 and one-sixth divided by 1 and StartFraction 7 over 8 EndFraction The quotient is close to
The quotient is close to 4
What is fraction?A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.
Given that, two mixed fractions, [tex]8\frac{1}{6}[/tex] and [tex]1\frac{7}{8}[/tex]
Converting the mixed numbers to improper fraction: we get,
49/6 and 15/8
Divide: 49/6 : 15/8
= 49/6 · 8/15
= 49 · 8/6 · 15
= 392/90
= 2 · 196/2 · 45
= 196/45
= [tex]4\frac{16}{45}[/tex]
Hence, The quotient is close to 4
For more references on fractions, click;
https://brainly.com/question/10354322
#SPJ5
work out the circumference of this circle take pie to be 3.142and give your number to 1 decimal place and the radius is 11.2cm
The required circumference of circle up to 1 decimal place is 70.4.
Radius = 11.2 cm
π = 3.142
The circumference of the circle is to be determined.
The circumference of object is its boundary measure.
Here, Circumference of circle = [tex]2\pi r[/tex]
= 2 x 3.142 x 11.2
= 70.4
Thus, the required circumference up to 1 decimal place is 70.4.
Learn more about circumference here:
https://brainly.com/question/4268218
#SPJ2
Factoring this problem
Step-by-step explanation:
- 4x2 - 80x - 400
- 4x2 - 40x - 40x - 400
-4x( x + 10) - 40(x + 10)
(x + 10) and ( - 4x - 40) are the factors
One gallon of propane yields approximately 91,500 BTU. About how many BTUs does the spherical storage tank shown provide? Round to the nearest million BTUs.
(Hint: 1 ft³ ≈ 7.48 gal)
Answer:
358,000,000 BTU's.
Step-by-step explanation:
Given that the radius is equal to 5 ft. and we need to find the volume of sphere~we can use the following formula. Additionally, we will use 3.14159 to be more accurate in this case...
[tex]V =\frac{4}{3} \pi r^3\\V=\frac{4}{3} (3.14159)5^3\\V=4.18878667(125)\\V=523.6[/tex]
So the volume is 523.6 cubic ft!
To convert this to gallons...
[tex]\\1 ft^3 = 7.48052 gal\\523.6 ft^3 = 3916.8 gallons[/tex]
The final step is to multiply this amount by the original 91,500 BTU, when we do this we get...
[tex]3916.8*91500=358387200[/tex]
The nearest million from this number is 358,000,000!
Final answer:
To determine the number of BTUs a spherical storage tank provides, find the tank's volume in gallons by converting from cubic feet, then multiply by 91,500 BTU per gallon and round to the nearest million BTUs.
Explanation:
To calculate the number of BTUs a spherical storage tank can provide, given in gallons, we first need to know the tank volume in cubic feet. Let's assume the student provides this volume. Since 1 cubic foot is equivalent to approximately 7.48 gallons of liquid, we divide the volume in cubic feet by 7.48 to find the number of gallons of propane the tank can hold. Each gallon of propane yields approximately 91,500 BTU.
To find the total BTUs, we use the following steps:
Calculate the number of gallons in the tank by multiplying the volume in cubic feet by 7.48.
Multiply the number of gallons by 91,500 BTU per gallon to get the total BTUs in the tank.
Round the result to the nearest million BTUs, as the question asks.
For example, if a spherical storage tank has a volume of 100 cubic feet, the number of gallons it can hold would be 100 cubic feet * 7.48 gallons/cubic foot = 748 gallons. Then, the total BTUs would be 748 gallons * 91,500 BTU/gallon = approximately 68,442,000 BTU, which would then be rounded to 68 million BTUs.
4. The perimeter of a rectangle is 52 inches. The rectangle is 16 inches long. How wide is the rectangle?
A.18 inches
B.36 inches
C.20 inches
D.10 inches
Answer:
C
Step-by-step explanation:
16 times 2 equals 32, 52 minus 32 equals 20.
HHEELLPPP PLLLZZZZ RIGTH NOW I'LL MARK U BRAINLIST
Which graphs represent a proportional relationship? Select all that apply. On a coordinate plane, a straight line goes through (0, 0), (1, 2), and (2, 4). On a coordinate plane, a curved line starts at the origin. On a coordinate plane, a straight line goes through (1, 3) and (3, 4). On a coordinate plane, a straight line goes through (0, 0), (4, 1), and (8, 2).
Answer:
A and D I did it on edge:
30 pts for any one who answers this question just use the image
and also i will be giving you a brainly if you answer this question right
Answer:
42 cents per peach and 68 cents per apple
Easy Question Easy points
Topic: Volume
Answer:
100; 14400
Step-by-step explanation:
Volume = base * height
a) Base = 4 * 2.5/2 = 5
Height = 20
That makes volume = 5 * 20 = 100
b) Base = 36 * 16/2 = 288
Height = 50
That makes the volume = 288 * 50 = 14400
Answer:
100, 14400
Step-by-step explanation:
The bases of a right prism are parallelograms with length of one of its sides a=8.5 cm and the length of the altitude to that side is ha = 4 cm. Find the volume of the prism, if its height is h=14 cm.
Answer:
The volume of the prism is 476 cm^3
Step-by-step explanation:
Mathematically, the volume of a right prism can be calculated using the formula area of the base * height of the prism
Here, the base is a parallelogram and thus, the area of the base can be calculated using the formula A = bh where b is the parallelogram base and h is the height
in the question the parallelogram has a base of 8.5cm with the height at that point as 4cm
The area of that parallelogram is thus 4 * 8.5 = 34 cm^2
the volume of the right pyramid is thus 34 * 14 = 476 cm^3
Are the triangles congruent? If so, how do you know?
yes, because all the angles of the triangles are
acute
yes, because the triangles have three congruent,
corresponding angles
yes, because of ASA or AAS
not enough information given
Congruent triangles have congruent corresponding sides and angles
The true statement is (c) yes, because of ASA or AAS
Start by adding the angles of the triangles
[tex]\mathbf{\theta = 98 + 35 + 47}[/tex]
[tex]\mathbf{\theta = 180}[/tex]
The angles add up to 180 degrees,
This means that, the triangles have congruent corresponding angles and a congruent corresponding side
Hence, the triangles are congruent by AAS or ASA.
Read more about congruent triangles at:
https://brainly.com/question/12413243
Answer:
Yes, because of ASA or ASA
Step-by-step explanation:
Tooken note so their right trust me
Angle 3 is an exterior angle of triangle RST and is adjacent to angle R. If angle 3 measures 100 degrees , angle S is 38 degrees, what is the measure of angle T?
62 degrees
80 degrees
138 degrees
Answer:
80 degrees
Step-by-step explanation:
If you are good at figuring out sequences in math please help! Rewarding more points
Answer:
-1,048,572
Step-by-step explanation:
Please mark brainliest :)
A bed is on sale for 25% off of its original price. It originally cost $879.00. How much is the sale price of the bed?
Answer:
$659.25
Step-by-step explanation:
Since its 25 percent off we need to see what it would look as a decimal
1-.25=.75
879times.75= 659.25
Answer:
224.25
Step-by-step explanation:
think of quarters, one is 25 cents, and it takes four to make a dollar. Then if you have a dollar and you want a quarter of it, you divide the dollar by 4, divide $879.00 by four to get 224.25!
A bag contains 2 red marbles, 3green marbles, and 4 blue marbles. If we choose a marble, then another marble without putting the first one back in the bag, what is the probability that the first marble will be green and the second will be red?
Answer:
6/81
there are 9 marbles and 3 are green so 3/9 and 2 are red so2/9 then times to get 6/81
A cylinder was enlarged by a scale factor of 4. The new volume is 2,240 cubic units. What was the volume of the original cylinder
We have been given that a cylinder was enlarged by a scale factor of 4. The new volume is 2,240 cubic units. We are asked to find the volume of original cylinder.
We know that a cylinder is a three dimensional object. Since scale factor is 4, so each side of new cylinder will be 4 times the side of original side of cylinder.
Due to 3 dimensions, the volume of new cylinder is [tex]4^3[/tex] times the volume of original cylinder.
[tex]\text{Volume of original cylinder}\times 4^3=\text{Volume of new cylinder}[/tex]
[tex]\text{Volume of original cylinder}\times 64=2240[/tex]
[tex]\frac{\text{Volume of original cylinder}\times 64}{64}=\frac{2240}{64}[/tex]
[tex]\text{Volume of original cylinder}=35[/tex]
Therefore, the volume of the original cylinder is 35 cubic units.
identify the x and y for y=5x
y = 5x
and x = y/5
you can then put any value for x and y and it will make sense
Evaluate the function f(x) = 4^x for x = 3.
A. 12
B. 24
C. 32
D. 64
Answer:
D 64
Step-by-step explanation:
f(x) = 4^x
Let x = 3.
f(3) = 4^3
= 4*4*4
= 64
Seven Grade Math
Explain Why
Answer:
D. 75x+160<760
Step-by-step explanation:
The reason is 75 has to be a variable because it changes with time. The fee is a fixed rate that will not change no matter the time. All of these values must be less than 760 meaning the variable and constant must be less than (<) 760
Look in picture below:
Answer:
The answer is GF
Step-by-step explanation:
Because Your question did not mention GF and it asked for which line it didn't
mention.
The unknown length can be found using the Pythagorean theorem.
The theorem states that the of the squares of the legs is the square of the hypotenuse.
The missing length is feet.
Answer:
he theorem states that the sum of the squares of the legs is equal to the square of the hypotenuse.
The missing length is 35 feet.
Step-by-step explanation:
i just did it
Answer: 1:sum 2:equal to 3:35
Step-by-step explanation:
I did the assignment on edge and got it right.
find the perimeter of the figure to the nearest hundredth.
Answer:
49.13 in
Step-by-step explanation:
circle circumference: 25.13
rectangle perimeter: 24
total: 49.13
The perimeter of the figure to the nearest hundredth. is 28.56 in.
To find the find the perimeter of the figure we'll add the sides of square and the circumference.
Perimeter of figure = 2 × Perimeter of semicircle + 2 × side of square + 2 × side length after excluding semicircle
Radius of semicircle = 4/2 = 2 in.
Perimeter of semicircle
= π r
= 3.14 × 2
= 6.28 in.
Side of square = 6 in.
Side length after excluding semicircle = 6 - 4 = 2 in.
Perimeter of figure
= 2 × Perimeter of semicircle + 2 × side of square + 2 × side length after excluding semicircle
= 2 × 6.28 + 2 × 6 + 2 × 2
= 12.56 + 12 + 4
= 28.56 in.
The area of a square is 100 cm². what is the perimeter?
Answer:
40 cm
Step-by-step explanation:
a square has 4 equal length sides, to get area you multiply two of those sides, 10 x 10 = 100, so each side is 10cm long, adding all of the sides together gets you 40cm.
Answer:
40cm
Step-by-step explanation:
We know that the formula for area of a square is side length squared or [tex]s^2[/tex]
In this case, [tex]s^2=100[/tex]. So we can go through the following steps in order to solve for s
[tex]s^2=100\\\sqrt{s^2} =\sqrt{100} \\\\s=10[/tex]
If one side equals 10, and we know all squares have 4 equal sides, then we can multiple 10 * 4 or add 10+ 10 + 10 + 10.
Our outcome is 40!
Seven students worked together on a project. How many ways can their teacher choose four to present the project?
The teacher can choose four students to present the project out of seven in 35 different ways. This is calculated using the combination formula in combinatorics, a concept in mathematics.
Explanation:The question involves the concept of combinatorics in mathematics, specifically the combination formula. The combination formula is used when the order of selection does not matter. In this case, the teacher is selecting 4 students out of 7 to present the project, and the order in which the students are chosen is irrelevant.
To calculate the number of ways the teacher can choose four students out of seven, we use the combination formula which is C(n, r) = n! / [(n-r)!r!], where:
n = total number of items r = number of items to choose C(n, r) = combinations of n items taken r at a time n! = n factorial = n*(n-1)*(n-2)*...*3*2*1 (n-r)!r! = (n-r) factorial times r factorial
Applying this to our scenario, n = 7 (total number of students), and r = 4 (students to be chosen to present). Plugging the values into the formula gives us C(7, 4) = 7! / [(7-4)!4!] = 35. So, there are 35 ways the teacher can choose four students to present the project.
Learn more about Combinations here:https://brainly.com/question/19692242
#SPJ12
The teacher can choose 4 students to present the project in 35 ways.
Explanation:The teacher needs to choose 4 students out of a group of 7 to present the project.
To find the number of ways to choose 4 students from a group of 7, we use the combination formula.
The formula for combinations is C(n, r) = n! / (r! * (n-r)!), where
n is the total number of students and
r is the number of students to be chosen.
Substituting n = 7 and r = 4 into the formula, we get
C(7, 4) = 7! / (4! * (7-4)!) = (7 * 6 * 5 * 4 * 3 * 2 * 1) / (4 * 3 * 2 * 1 * 3 * 2 * 1) = 35.
Therefore, there are 35 ways for the teacher to choose 4 students to present the project.
Learn more about combinations here:https://brainly.com/question/30646507
#SPJ12
A tennis coach divides her 9-player squad into three 3-player groups with each player in only one group. How many different sets of three groups can be made?
By using the combination formula to calculate the number of unique ways a group can be formed, we find that a coach can divide her 9-player squad into three equal groups in 5600 ways.
Explanation:The student's question is about a concept in mathematics called combinations. A combination is a selection of items without regard to the order in which they are selected. In this particular problem, the tennis coach is dividing her 9-player squad into three equal groups. The number of ways this can be done uses the formula for combinations (nCr) where n equals the total number of items (in this case, players) and r equals the number of items being chosen at a time (in this case, the number of players in each group).
First, the coach can choose the first trio from the nine players using the combination formula 9C3. The second trio is chosen from the remaining 6 players, so this uses the formula 6C3, and for the third trio, which is chosen from the remaining 3 players, the formula is 3C3. Multiplied out, 9C3 x 6C3 x 3C3 equals 280 x 20 x 1 which is 5600. Therefore, there are 5600 unique ways the coach can divide her 9-player squad into three 3-player groups with each player in only one group.
Learn more about Combinations here:https://brainly.com/question/30646507
#SPJ12
Original price: $35
Percent of discount:
Sale price: $31.50
Answer:
ok i agree
Step-by-step explanation:
Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?
-5
-3
-2
-1
1
2
3
O
4
5
+
+
4
-3
-2
-1
0
1
2
4
5
+
w+ W0
+
at at at
+
fr
-3
-2
-1
o
1
2
3
4
5
+
-3
-2
-1
ó
1
2 3
4
5
Answer:
3 < x
Step-by-step explanation:
3(8 - 4x) < 6(x - 5)?
Distribute
24 -12x< 6x -30
Add 12x to each side
24-12x+12x < 6x+12x-30
24 < 18x-30
Add 30 to each side
24+30 < 18x-30+30
54 < 18x
Divide each side by 18
54/18 < 18x/18
3 < x
The sample space (S) has four regions (1, 2, 3 and 4) and two events A and B. The sample space has 15 equally likely outcomes, of which 5 are in A and 6 are not in A or in B. If events A and B are independent, how many outcomes are in region 2?
A) 2
B) 6
C) 7
D) 8
Answer:
Option A. 2
Step-by-step explanation:
From the question given, we were told that the total outcome in event A is 5.
Now if region 2 is 6, 7 or 8, as given in the other options, it therefore means that the total out in event A will be more than 5. So region 2 must be 2 in order to satisfy the event A.
Further more, considering the diagram, event B is bigger than event A. With this idea we can give the summary in diagram as follow:
Region 1 => 3 outcomes
Region 2 => 2 outcomes
Region 3 => 4 outcomes
Region 4 => 6 outcomes
Total => 15 outcomes
Now we can see that the total outcome correspond to the total outcome of 15 given in the question.
Therefore, region 2 has 2 outcome
Given the information, we can determine that B has 4 outcomes, but the number of outcomes specifically in region 2 cannot be found without additional information.
Explanation:Let's break down the given information one piece at a time. The sample space (S) consists of 15 equally likely outcomes. Out of these, we know that 5 outcomes are in region A, and 6 outcomes neither belong to event A nor to event B.
Since events A and B are independent, they do not share outcomes. Now, we can calculate the number of outcomes in event B by subtracting the outcomes not belonging in A or B and belonging in A from the total outcomes. Hence, there are 15 - 5 - 6 = 4 outcomes in event B.
However, the question requires us to find outcomes in the second region (2). Since the regions were not specified concerning events A and B, we cannot identify the precise number of outcomes in region 2. Therefore, we cannot accurately answer the question with the given information.
Learn more about Probability here:https://brainly.com/question/32117953
#SPJ3
7 students are running for student counsel. They sit at a circular table in order to
debate the issues. How many different ways can they sit at the table?
There are 720 different ways for 7 students to sit at a circular table for a debate, calculated using permutation principles by fixing one seat and arranging the remaining six students (6!).
The question asks about the number of different ways 7 students can sit at a circular table for a debate, which involves a mathematical concept called permutations. Since a circular arrangement means that the starting point is not fixed, we have to consider one position as fixed to avoid repeating identical seating arrangements caused by rotation. Therefore, with one student fixed, we have 6 seats left to arrange the remaining 6 students. This scenario is a permutation problem without repetition and can be calculated using the factorial operation (6!).
So, the calculation would be:
Fix one student in one seat.Arrange the remaining 6 students in the remaining seats, which is 6! (factorial of 6).Calculate 6! = 6 * 5 * 4 * 3 * 2 * 1 = 720.Therefore, there are 720 different ways the 7 students can sit at the table for the debate.
What is 6x(-496)=19x12
Answer:
-19/248
Step-by-step explanation: