A cruise left port A and traveled towards port B 225 km away. After 1.5 hours of travel, the cruise was stopped for a half an hour and then it had to increase its speed by 10 km/hour in order to reach port B on time. Find the original speed of the cruise.
Answer:
50
Step-by-step explanation:
v = the original speed of the cruise
d = 225 km the distance passed
t = d/v = 225/v the total time of the travel
v*1.5 + (v + 10)(d/v - 1.5 - 0.5) = d (using the formula distance = speed*time)
1.5v + (v + 10)(225/v - 2) = 225
Look at the images to see the solved equation
A person wants to place pavers to make a new backyard patio. The patio will measure 4 2/3 yards by 5 1/3 yards. If the pavers are each 1 square foot and cost $1.20 each, how much will the pavers cost?
Answer:
$268.80
Step-by-step explanation:
#first convert the patio's dimensions to feet:
[tex]1 \ Yd= 3 \ ft\\\\4\frac{2}{3}\times 3=14\ ft\\\\5\frac{1}{3}\times 3=16\ ft[/tex]
#We now calculate the patio's area in sq ft:
[tex]A=lw\\\\=14\times 16\\\\=224\ ft^2[/tex]
#To determine the total cost of the pavers, we multiply by the cost per sq foot;
[tex]Cost=Area \times Cost/sq \ ft\\\\=224\times 1.2\\\\=268.80[/tex]
Hence, the pavers cost a total of $268.80
Find the coordinates of the vertices of the figure after a reflection of the given axis. Then graph the reflection image.
Given:
The coordinates of the triangle ABC are (3,3), (6,5) and (2,1)
We need to determine the vertices of the triangle A'B'C' after reflection across y - axis.
Reflection across y - axis:
The rule to translate the coordinates across y - axis is given by
[tex](x,y)\implies (-x,y)[/tex]
Let us substitute the coordinates.
The coordinates of the point A' are
[tex]A(3,3)\implies A'(-3,3)[/tex]
The coordinates of the point B' are
[tex]B(6,5)\implies (-6,5)[/tex]
The coordinates of the point C' are
[tex]C(2,1)\implies (-2,1)[/tex]
Therefore, the coordinates of the triangle A'B'C' are (-3,3), (-6,5) and (-2,1).
Hence, Option C is the correct answer.
The image of the transformation is the figure represented by graph (b)
How to determine the image of the transformation
from the question, we have the following parameters that can be used in our computation:
The triangle
Also, we have the reflection axis to be
The y-axis
This means that the pre-image and the image of the reflection will be equidistant from the x-axis
Using the above as a guide, we have the following:
The image is (b)
How do you solve -5x - 5y = 0 and y = 8x
We solve the system of equations -5x - 5y = 0 and y = 8x using the substitution method. Substituting y = 8x into the first equation, then solving for x and y, we find that x = 0, y = 0.
Explanation:To solve the system of equations -5x - 5y = 0 and y = 8x we will use substitution method. The substitution method involves substituting the expression from one equation into the other equation. Here, we are given that y is equal to 8x, so we can substitute 8x in place of y in the first equation. That gives us:
-5x - 5*(8x) = 0
Solve this equation, we get x = 0. Now, substitute x = 0 in the second equation to find y. That gives us:
y = 8*0
So, y = 0. Therefore, the solution to the system of equations is x = 0, y = 0.
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To get an A average in George's math class, he must get at least
I an 80% on his last math test. Which inequality represents the score George must get on his test?
A. x > 80 B. x < 80 C.x> 80 D. x < 80
Answer:
b or d
Step-by-step explanation:
they have the same answers bruh
Carter Motor Company claims that its new sedan, the Libra, will average better than 26 miles per gallon in the city. Use μ, the true average mileage of the Libra.
Answer:
The true average mileage of the Libra Using Null hypothesis is as ;
H0:μ≤26
(Ha):μ >26
Step-by-step explanation:
Given:
Libra, will average better than 26 miles per gallon in the city
To Find:
Average mileage of the Libra.
Solution:
This problem is related to the null hypothesis and alternate hypothesis.
i.e Null Hypothesis is the statement which is true and statement which contradictory is called alternate hypothesis.
“reject H0” if the sample information favors the alternative hypothesis.
“do not reject H0” / “decline to reject H0” if the sample information is insufficient to reject the null hypothesis
So given that condition is libra will have average better than 26
So it will include 26 and above values .
i.e. True condition is called as null hypothesis (H0)
so true average will be greater than 26
So H0:μ≤26
And the Alternate hypothesis will be the contradictory to true condition
(Ha):μ >26 .
Which dimensions can create more than one triangle? three angles measuring 75 degrees, 45 degrees, and 60 degrees three sides measuring 7 m, 10 m, and 12 m three angles measuring 40 degrees, 50 degrees, and 60 degrees three sides measuring 3 cm, 4 cm, and 5 cm
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:right
Which side lengths form a right triangle?
Answer:
It B and C
Step-by-step explanation:
the equation in Pythagorean theorem is a^2+b^2=c^2
so the answer for B would be 5^2*5^2=50,which is correct sine 5^2=25,and 25+25=50
The answer for C would be like 9^2+12^2=225
the square root of 225 is 15 which is correct.
but A is wrong because 5^2+6^2=31 is wrong.
Answer:
its A and C
Step-by-step explanation:
khan academy
The fifth graders went to the Dallas zoo. 84 kids went. The teachers where free but payed 5$ the total bill was 530$ how much was the entrance fee for each child
Answer:
what was paid exactly per student as entrance fee is $6.25
Step-by-step explanation:
In this question, we are told that some kids went to an excursion with their teachers and paid a certain total bill. we now need to know the amount paid per child as the entrance fee to the zoo.
Firstly, we need to subtract the amount paid by the teachers so we know exactly how much was spent on the students entrance fee alone.
subtracting the $5 from the total we have $530 - $5 = $525
Now to know what was paid as entrance fee per student, we simply divide this by the total number of students. That will be 525/84 = $6.25
This means that what was paid exactly per student as entrance fee is $6.25
The entrance fee per child at the Dallas zoo can be found by subtracting the teachers' payment from the total bill and then dividing it by the number of kids. In this case, the entrance fee per child is $6.31.
Explanation:The entrance fee for each child can be calculated by subtracting the amount paid by the teachers from the total bill and then dividing it by the number of kids:
Total bill - Teachers' payment = Amount paid by the kids
530$ - (5$ x Number of teachers) = Amount paid by the kids
530$ - (5$ x 0) = Amount paid by the kids
530$ = Amount paid by the kids
To find the entrance fee for each child, divide the amount paid by the number of kids:
Entrance fee per child = Amount paid by the kids / Number of kids
Entrance fee per child = 530$ / 84 kids
Entrance fee per child = $6.31.
brooke has scores of 84,72,90,87, and 95 on her first five quizzes. After taking the sixth quiz, brookes mean score increased. what could be brookes sixth quiz score?
Answer:
Any number above 85.6
Step-by-step explanation:
To calculate the mean you add all of the scores together then divide by how many scores you added
So in this case you would add 84 + 72 + 90 + 87 + 95 = 428
Then you would Divide 428 by five because you are adding 5 numbers
428/5 = 85.6
It says the score increased so as long as then score is greater than 85.6 it is an option.
Answer:
90, 86, 89, and 92
Step-by-step explanation:
Basically anything above 85.6
Caroline took a math test and got 19 out of 25 questions correct. What percent of the questions did she answer correctly? What percent did she answer incorrectly?
Answer:
She got a 76
Step-by-step explanation:
All you have to do is divide 19/25. You'll get your answer. Hope you understand. If you have any concerns, contact me! Also, a fraction is a division problem! The number on the top goes first!
Maddie’s salary is £16,000 and she is due to get an increase of 5%. How much will this increase be
Answer:
800
Step-by-step explanation:
16,000 x 0.05 = 800
Round to 2 SF
0.00706
please
The rounded number is 0.01.
To round 0.00706 to 2 significant figures, we first need to identify the non-zero digits and any zeros between them. The non-zero digits in this number are 7 and 6. There are no zeros between them.
Since the second significant digit is 6, which is greater than or equal to 5, we round the first significant digit up. Therefore, the rounded number is 0.01.
Here is a table of the rounding rules:
| Digit to the right of the last significant digit |
| Less than 5 | Round the last significant digit down |
| 5 or greater | Round the last significant digit up |
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Joseph and Wilson each started out at their own houses and are biking towards each other. Joseph started out first, and has already gone 10 kilometers. He bikes at a constant speed of 7 kilometers per hour. Wilson just left, and rides at 9 kilometers per hour. When the boys meet halfway between their houses, they will continue to the park together. How far will each boy have ridden to meet the other halfway? How long will that take?
Joseph and Wilson will each have ridden 45 kilometers to meet halfway, and it will take each of them 5 hours to do so.
Joseph and Wilson are biking towards each other. Joseph has already traveled 10 kilometers and is moving at a constant speed of 7 kilometers per hour. Wilson has just started and rides at a speed of 9 kilometers per hour. To determine how far each boy will have ridden to meet halfway and how long that will take, we need to use the relation between distance, speed, and time.
Let's assume the total distance between their houses is 2d kilometers. Meeting halfway means each boy will cover d kilometers. We already know Joseph has covered 10 kilometers, so he has d - 10 kilometers left to travel. Since Wilson just started, he has the entire d kilometers to cover.
The time it will take for each to travel the remaining distance can be calculated using the formula:
Time = Distance ÷ Speed
For Joseph:
Time = [tex]\frac{d - 10}{ 7}[/tex]
For Wilson:
Time = [tex]\frac{d }{ 9}[/tex]
Since they meet halfway at the same time, the times for each to travel the remaining distance must be equal.
[tex]\frac{d - 10}{ 7} = \frac{d }{ 9}[/tex]
By solving this equation cross-multiplying, we get:
9(d - 10) = 7d
9d - 90 = 7d
2d = 90
d = 45
Each boy will ride for 45 kilometers to meet halfway. Joseph has already covered 10 kilometers, so he will ride an additional 35 kilometers (45 km - 10 km).
Now to find out how long it will take:
For Joseph:
Time = 35 ÷ 7 hours = 5 hours
For Wilson:
Time = 45 ÷ 9 hours = 5 hours
So, both boys will have ridden for 5 hours to meet each other halfway.
Which is equivalent to -9y+ 2x? (Choose all correct answers.) *
2x-9y
11x + 3y - 12y - 9x
-117
-11(y + x)
0
What is the value of b?
Answer:
b = 10
Step-by-step explanation:
We know
x^2 / (24^2) - y^2/ ( b^2) = 1
equation: directrix x = a^2 / c = 576/26
a = 24
24^2/ c = 576/26
c = 26
so a^2 + b^2 = c^2
so 24^2 + b^2 = 26^2
b^2 = 26^2 - 24^2 = 100
b = 10
please help with this asap ty
Answer:
9 : 7
Step-by-step explanation:
Given
4.5 : 3 [tex]\frac{1}{2}[/tex]
Multiply both parts of the ratio by 2 to clear the fractions, that is
= 9 : 7 ← in simplest form
Ana escribe conjuntos de cinco enteros positivos consecutivos con la siguiente propiedad: La suma de tres de los números es tan grande como la suma de los otros dos. ¿Cuántos conjuntos con esta propiedad ha escrito Ana?
Seleccione una:
a. 1
b. 2
c. 0
d. 3
e. Mas de 3
Answer:
a) 1.
Step-by-step explanation:
Supongamos que el primer número entero positivo es a tal que a ∈ Z⁺.
Luego, el conjunto de los cinco enteros positivos se puede expresar como
A = {a; a+1; a+2; a+3; a+4}
Dada la condición del problema, se debe cumplir que
a + (a+1) + (a+2) = (a+3) + (a+4)
⇒ 3a + 3 = 2a + 7
Resolviendo la ecuación resulta
a = 4
Luego, el conjunto A nos resulta
A = {4; 5; 6; 7; 8}
Puede concluirse que sólo un conjunto cumple con esta condición.
If the area of circle b is 1/5 the area circle a What is the area of circle b
Answer:
(Area of circle a)/5
Step-by-step explanation:
(Area of circle b) = (1/5)* (Area of circle a)
What is the area of circle a? There is not enough given information
Answer:
area of circle a/5
Step-by-step explanation:
The equation: 1/5(a) = b
multiply 1/5(a)
We get the area of circle a/5
0.694 rounded to the nearest hundredth is
0.694 rounded to the nearest hundredth remains 0.69 because the third digit after the decimal is 4, which is less than 5.
The question asks for 0.694 to be rounded to the nearest hundredth.
To round to the nearest hundredth, you look at the third digit after the decimal point.
If this digit is 5 or greater, you round the second digit after the decimal up.
In this case, the third digit is 4, which is less than 5.
Therefore, when rounding 0.694 to the nearest hundredth, it remains 0.69.
?/6 < 1/2 whats the missing number
Answer:
The missing number is either 1 or 2.
1/6 and 2/6 are both less than 1/2.
Pay Periods a
Due Apr 10, 20:
D Question 4
10 pts
Last season, LeBron James played 74 games. He was paid $31 for the season.
a) How much does that mean he earned per game? Round to the nearest cent.
b) He played a total of 2,796 minutes in the season. What was his pay per minute?
Round to the nearest cent.
< Previous
Next →
Answer:
¢42 per game
¢1.11 per minute
Step-by-step explanation:
Please refer to the attached image for explanations
LeBron James earns approximately $0.42 per game and $0.01 per minute based on the given salary and total games and minutes played for the season.
The student has asked two questions about calculating earnings per game and per minute for LeBron James, based on a given salary for a season and the total number of games and minutes played.
To calculate the earnings per game, we divide the total salary for the season by the number of games played. If LeBron James was paid $31 for the season and played 74 games, his earnings per game would be: $31 ÷ 74 games = $0.4189 per game, which rounds to $0.42 per game to the nearest cent.
For the earnings per minute, we divide the total salary for the season by the total number of minutes played. With $31 for the season and 2,796 minutes played, his pay per minute would be: $31 ÷ 2,796 minutes = $0.0111 per minute, rounding to $0.01 per minute to the nearest cent.
The diameter of a circle is 13 m find it’s circumference in terms of pi
The circumference of the circle is approximately 40.8406 m.
Explanation:The circumference of a circle can be found using the formula C = πd, where C is the circumference and d is the diameter of the circle.
In this case, the diameter of the circle is given as 13 m. So we can substitute this value into the formula to find the circumference:
C = 3.14159… x 13 m = 40.8406 m
Therefore, the circumference of the circle is approximately 40.8406 m.
Final answer:
The circumference of a circle with a diameter of 13 meters is expressed in terms of Pi as 13π meters.
Explanation:
The circumference of a circle is calculated using the formula C = πd, where C is the circumference, π (Pi) is a mathematical constant, and d is the diameter of the circle.
Given that the diameter is provided as 13 meters, we use this formula to find the circumference in terms of π.
Thus, the circumference C is equal to:
C = π × 13 m
Since we are expressing our answer in terms of π, there's no need to calculate the numeric value of π. However, if we need to use a value for practical purposes, π is approximately 3.14.
So for our purposes, the circumference in terms of π is simply 13π meters.
Ellie baked a round cookie cake for her sister birthday the radius of the cookie aas 6 inches . If ellies sister ate 1 /4 of the cookie cake about how many square inches did she eat
Answer:
28.3 square inches
Step-by-step explanation:
In the question, we are asked to calculate the portion of the area of the cake eaten by Ellie’s sister.
To calculate this, the first thing to do is to calculate the area of the cookie cake. Now, since it’s a round cake, then it must be circular in shape.
Hence we calculate the area.
mathematically the area of a circle can be calculated using the formula;
A = pi * r^2
here our r =6 inches
Substituting this, we have
A = 22/7 * 6 * 6 = approximately 113 sq. inches
we now move on to calculate the portion ate, which is a quarter
That would be 1/4 * 113 = 28.3 sq. inches was eaten
Answer:
28 Square inches
Step-by-step explanation:
Since the cookie is round, it is in a circular shape.
Radius of the Cookie Cake, r= 6 Inches
Area of a Circle [tex]=\pi r^2[/tex]
Therefore, the area of the whole cookie cake [tex]=\pi X 6^2 =113.097 \:Square\: Inches[/tex]
Since Ellie's Sister ate 1/4 of the cookie cake,
Area of cake eaten by Ellie's Sister
[tex]\frac{1}{4} X 113.097\\ =28.27[/tex]
Ellie's Sister ate approximately about 28 Square inches of cake.
Rhada has a 3-pound bag of clay. Her craft project requires 3 oz of clay for each batch of 4 ornaments.
If she uses all of the clay, how many ornaments can she make?
Answer:
64
Step-by-step explanation:
The first thing we should know is the equivalence between pound and ounce.
1 pound equals 16 ounces. Which means that Rhada has a total of:
3 * 16 = 48 ounces of clay.
We are told that for every 3 ounces of clay you can make 4 ornaments., therefore:
48 * 4/3 = 64 ornaments
Which means that you can with the amount of clay you have can make 64 ornaments.
Answer:
64
Step-by-step explanation:
pls answer the question in the pic i will mark u as brainliest
Answer:
2 ft³
Step-by-step explanation:
The volume (V) of the triangular pyramid is calculated as
V = [tex]\frac{1}{3}[/tex] Ah ( A is the area of the base and h the perpendicular height )
A = [tex]\frac{1}{2}[/tex] × 2 × 2 = 2 ft² ← area of triangular base and h = 3, thus
V = [tex]\frac{1}{3}[/tex] × 2 × 3 = 2 ft³
An object is translated from A (-6, -4) to A' (-18, -8). What is the translation rule?
Given:
An object is translated from A(-6, -4) to A'(-18,-8)
We need to determine the translation rule.
Translation rule:
The translation rule is given by
[tex]A(x,y)\rightarrow (x+h,y+k)\rightarrow A'(x,y)[/tex]
Substituting the coordinates of A and A', we get;
[tex]A(-6,-4)\rightarrow (-6+h,-4+k)\rightarrow A'(-18,-8)[/tex]
Equating the x and y coordinates, we get;
x - coordinate:
[tex]-6+h=-18[/tex]
[tex]h=-12[/tex]
Thus, the value of h is -12.
y - coordinate:
[tex]-4+k=-8[/tex]
[tex]k=-4[/tex]
Thus, the value of k is -4.
Hence, the translation rule is [tex](x,y)\rightarrow (x-12,y-4)[/tex]
Evaluate 8a - 1 + 0.5b when a = 1/4 and b = 10
Answer:
6
Step-by-step explanation:
8(.25)-1+.5(10)
2-1+5
1+5
6
A right triangular prism is constructed so that its height is equal to the leg length of the base.
A right triangular prism is shown. The right triangles have 2 sides with a length of x. The length of the hypotenuse is unknown. The height of the prism is x.
What expression represents the volume of the prism, in cubic units?
a. One-halfx3
b. One-halfx2 + x
c. 2x3
d. 2x2+ x
Answer:
the answer is A
Step-by-step explanation:
The volume of the right triangular prism is x³/2 cubic units.
What is volume?Volume is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.
Given that in a right triangular prism its height is equal to the leg length of the base.
we need to find the expression for the volume,
The volume of a right triangular prism is:
V = The base area x the height
Therefore,
V = 1/2 · x · x · x
Hence the volume of the right triangular prism is x³/2 cubic units.
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Answer quick for brainliest <3
Answer: proportional
Yes the table is proportional because for every 1 increase in x the increase in y is 5. Because the increase for every 1 x is 5 means it is proportional.