Use the table to find how many quarts are equivalent to 7 gallons.
There are
quarts in 7 gallons.
Answers
28 quarts are equivalent to 7 gallons
How to find how many quarts are equivalent to 7 gallons?The table represents a proportional relationship or proportional linear function
A proportional linear function is represented as
y = kx
Where
k represents the proportionality constant
y represents the number of quarts
x represents the number of gallons
When x = 14 and y = 56, we have:
56 = 14k
Divide by 14
k = 4
Substitute k = 4 in y = kx
y = 4x
When x = 7, we have
y = 4 * 7
Evaluate
y = 28
Hence, 28 quarts are equivalent to 7 gallons
Read more about proportional linear function at
https://brainly.com/question/12242745
#SPJ1
Related Questions
What is one fifth of twenty more than half
of 80?
(A) 8
(B) 10
(C) 12
(D) 13
Answers
Answer:
(C) 12
Step-by-step explanation:
To solve this problem, we can use the following steps:
Find half of 80: 80/2 = 40
Add 20 to half of 80: 40 + 20 = 60
Find one fifth of the result: 60/5 = 12
Therefore, one fifth of twenty more than half of 80 is equal to 12. The correct answer is (C) 12.
Answer:
(C) 12
Step-by-step explanation:
What is one fifth of twenty more than half of 80
0.5 × 80 = 40
What is one fifth of twenty more than half of 80
40 + 20 = 60
What is one fifth of twenty more than half of 80
1/5 × 60 = 60/5 = 12
si ABCD son los vertices de un cuadrado y A(2,2) y C (10,8) 2 vertices opuestos. Hallar los otros dos vertices, dar como respuesta la mayor de las ordenadas
Answers
The area of the square is given as 100 square unit
How to determine the area of square?You should be aware that the square has all its sides equal
The perpendicular from opposite vertices represent distance
The given vertices are
(2,2) and (10,8)
Using the formula for distance between two points
d=√(10-2)²+(8-2)²
d=√8²+6²
d = √64+36
d=√100
This implies that d=10
The area of a square is given as s²
Area = 10²
Atrea = 100 square units
In conclusion, the area of the square is 100 square units
Learn more about area of square on https://brainly.com/question/27683633
#SPJ1
Translated question:
The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square
i have 3 red marbles, 7 green marbles. probability of me getting green marble?
Answers
Answer:
70%
Step-by-step explanation:
7 is 70% of 10.
3 is 30% of 10.
There is a 70% chance you get a green marble.
total area of 3 figures
Answers
Given dimensions:
x=31 feet, y= 24 feet and z= 95 feet
We can split the shape above into 3 components: A, B, and C
To find the total area, we will find the sum of the areas of each component
For A
The shape of A is that of a semi-circle.
The area of a semi-circle is given to be
\(\text{Area}=\text{ }\frac{1}{2}\text{ x }\pi r^2\)The radius will be the diameter divided by 2
y= diameter
r= radius = y/2
r=24/2 =12 feet
pi=3.14
\(\begin{gathered} \text{Area}=\frac{1}{2}\text{ x 3.14 x 12 x 12} \\ \text{Area}=226.08\text{ ft}^2 \end{gathered}\)For B
The shape is a rectangle
The area of a rectangle is given by
A = l x b
where l = 31 and b = 24
Area = 31 x 24
Area = 744 square feet
For C
The shape is a triangle
The area of the triangle is given by
\(A=\frac{1}{2}\text{ x base x height}\)base = 64 feet, height = 24 feet
\(\text{Area}=\frac{1}{2}\text{ x }64\text{ x 24 =768 ft}^2\)The total area is
22
Use the Pythagorean theorem to find the distance between points P and Q
Answers
The distance between the points P and Q is 10 units using the Pythagorean theorem.
What is Pythagoras Theorem?The right-angled triangle's three sides are related in accordance with the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the hypotenuse square of a triangle is equal to the sum of the squares of the other two sides. According to the Pythagoras theorem, if a triangle has a right angle, the hypotenuse's square is equal to the sum of the squares of the other two sides.
The coordinates of the point P and Q are (3, 2) and (9, 10).
Using the Pythagoras theorem:
c² = (x2 - x1)² + (y2 - y1)²
Substitute the values:
c² = (9 - 3)² + (10 - 2)²
c² = 36 + 64
c² = 100
c = 10 units.
Hence, the distance between the points P and Q is 10 units using the Pythagorean theorem.
Learn more about Pythagoras Theorem here:
https://brainly.com/question/343682
#SPJ1
Draw the reflection of the quadrilateral across the x-axis.
Answers
Answer:
Points:
x = 1, y = -3
x = 2, y = -6
x = 6, y = -7
x = 7, y = -1
Basically just make sure that all x-coordinates stay the same (positive), while y-coordinates are in opposite signs (negative)
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Each point moves to a position as far below the x-axis as the original point is above the x-axis. The x-coordinate remains unchanged.
The perimeter of the triangle shown is 225 feet, find the length of each side
X feet = How many Feet?
5x feet = how many feet?
(6x - 3) feet = for many feet?
Answers
Answer:
I have solved it and attached in the explanation.
Step-by-step explanation:
Can someone solve this please
Answers
Answer:15. 5/8 = 0.625
Step-by-step explanation:
Write each of the following numerals in base 10. For base twelve, T and E represent the face values ten and eleven, respectively.
a. 421 five
b. 11101 two
c. 13Ttwelve
Answers
(a)
421₅ = 4×5² + 2×5¹ + 1×5⁰
… = 100 + 10 + 1
… = 111
(b)
11101₂ = 1×2⁴ + 1×2³ + 1×2² + 0×2¹ + 1×2⁰
… = 16 + 8 + 4 + 0 + 1
… = 29
(c)
13T₁₂ = 1×12² + 3×12¹ + 10×12⁰
… = 144 + 36 + 10
… = 190
28) The number of hours per week that high school students spend on computers is normally distributed, with a mean
of 5 hours and a standard deviation of 2 hours. 70 students are chosen at random. Let y represent the mean number
of hours spent on the computer for this group. Find the probability that y is between 5.1 and 5.7.
Answers
The probability that y is between 5.1 and 5.7 is approximately 0.4292.
What is probability?Probability is a way to gauge how likely or unlikely something is to happen. It is a number between 0 and 1, where 0 denotes an improbable event and 1 denotes an inevitable one.
According to question:Since the sample size is large (n = 70), we can use the Central Limit Theorem to approximate the sampling distribution of the sample mean as normal with mean μ = 5 and standard deviation σ/sqrt(n) = 2/sqrt(70) ≈ 0.24.
Now we want to find the probability that y, the sample mean, is between 5.1 and 5.7. We can use the standard normal distribution to do this by standardizing y:
z = (y - μ) / (σ / sqrt(n)) = (y - 5) / 0.24
The probability that y is between 5.1 and 5.7 is equivalent to the probability that z is between:
z1 = (5.1 - 5) / 0.24 ≈ 0.42
and
z2 = (5.7 - 5) / 0.24 ≈ 2.92
Using a standard normal distribution table or calculator, we can find that the probability of z being between z1 and z2 is approximately 0.4292.
Therefore, the probability that y is between 5.1 and 5.7 is approximately 0.4292.
To know more about probability visit:
https://brainly.com/question/30034780
#SPJ1
.PLEASE HELP IVE BEEN UP TILL 3 AM TRYING TO FIGURE THIS OUT
Answers
Answer:
(a) {f, k, m, r, y}
(b) {r}
In a study of the relationship of the shape of a tablet to its dissolution time, 6 disk-shaped ibuprofen tablets and 8 oval-shaped ibuprofen tablets were dissolved in water. The dissolve times, in seconds, were as follows:
Disk: 269.0, 249.3, 255.2, 252.7, 247.0, 261.6
Oval: 268.8, 260.0, 273.5, 253.9, 278.5, 289.4, 261.6, 280.2 Can you conclude that the mean dissolve times differ between the two shapes? Conduct a hypothesis test at the
α = 5% level.
a. State the appropriate null and alternative hypotheses.
b. Compute the test statistic.
c. Compute the P-value.
d. State the conclusion of the test in the context of this setting.
Answers
Answer:
Step-by-step explanation:
This is a test of 2 independent groups. Let μ1 be the mean dissolution time for disk-shaped ibuprofen tablets and μ2 be the mean dissolution time for oval-shaped ibuprofen tablets.
The random variable is μ1 - μ2 = difference in the mean dissolution time for disk-shaped ibuprofen tablets and the mean dissolution time for oval-shaped ibuprofen tablets.
We would set up the hypothesis.
a) The null hypothesis is
H0 : μ1 = μ2 H0 : μ1 - μ2 = 0
The alternative hypothesis is
H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0
This is a two tailed test.
For disk shaped,
Mean, x1 = (269.0 + 249.3 + 255.2 + 252.7 + 247.0 + 261.6)/6 = 255.8
Standard deviation = √(summation(x - mean)²/n
n1 = 6
Summation(x - mean)² = (269 - 255.8)^2 + (249.3 - 255.8)^2 + (255.2 - 255.8)^2+ (252.7 - 255.8)^2 + (247 - 255.8)^2 + (261.6 - 255.8)^2 = 337.54
Standard deviation, s1 = √(337.54/6) = 7.5
For oval shaped,
Mean, x2 = (268.8 + 260 + 273.5 + 253.9 + 278.5 + 289.4 + 261.6 + 280.2)/8 = 270.7375
n2 = 8
Summation(x - mean)² = (268.8 - 270.7375)^2 + (260 - 270.7375)^2 + (273.5 - 270.7375)^2+ (253.9 - 270.7375)^2 + (278.5 - 270.7375)^2 + (289.4 - 270.7375)^2 + (261.6 - 270.7375)^2 + (280.2 - 270.7375)^2 = 991.75875
Standard deviation, s2 = √(991.75875/8) = 11.1
b) Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is
(x1 - x2)/√(s1²/n1 + s2²/n2)
Therefore,
t = (255.8 - 270.7375)/√(7.5²/6 + 11.1²/8)
t = - 3
c) The formula for determining the degree of freedom is
df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²
df = [7.5²/6 + 11.1²/8]²/[(1/6 - 1)(7.5²/6)² + (1/8 - 1)(11.1²/8)²] = 613.86/51.46
df = 12
We would determine the probability value from the t test calculator. It becomes
p value = 0.011
d) Since alpha, 0.05 > than the p value, 0.011, then we would reject the null hypothesis. Therefore, we can conclude that at 5% significance level, the mean dissolve times differ between the two shapes
Sarah earned $73.50 Babysitting. She charges $3.50 per hour. We many hours did Saran baby-sit
Answers
73.50 x 3.50 = 21 hours
Factor the following:
−5x2−20x
Answers
Answer:
-10(1+2x)
Step-by-step explanation:
-10-20x
-10(1+2x)
Here are 2 right triangles. Explain how you know the right triangles are similar.
Answers
Answer:
Step-by-step explanation:3x + 2x =5x
you just know
Step-by-step explanation:
Find the scale factor of the two triangles
2
5. Many people believe that criminals who plead guilty tend to get lighter sentences than those
who are convicted in trials. The accompanying table summarizes randomly selected sample
data for defendants in burglary cases in a specific city. All of the subjects had prior prison
sentences. Use a 0.05 significance level to find the critical value needed to test the claim that
the sentence (sent to prison or not sent to prison) is independent of the plea.
Sent to prison
Not sent to prison
Guilty Plea
392
564
Not-Guilty Plea
58
14
(1 point)09.488
03.841
042.557
05.991
Answers
Answer:
Is 03.841
Step-by-step explanation:
To find the critical value needed to test the claim that the sentence is independent of the plea, we need to perform a chi-square test of independence. The critical value is based on the significance level (α) and the degrees of freedom.
In this case, the given significance level is 0.05. Since the table represents a 2x2 contingency table (two categories for plea and two categories for sentence), the degrees of freedom (df) can be calculated as (number of rows - 1) * (number of columns - 1) = (2 - 1) * (2 - 1) = 1.
To find the critical value at a significance level of 0.05 with 1 degree of freedom, we consult a chi-square distribution table or use statistical software.
The critical value for a chi-square test with 1 degree of freedom and a significance level of 0.05 is approximately 3.841.
Therefore, the correct answer is 03.841.
Find the exact value of cos A in simplest radical form.B1312СA5
Answers
To calculate the cosine of a determined angle of a rigth triangle without knowing the measure of the angle you have to make use of the trigonometrical ration.
\(\cos \theta=\frac{adjacent}{hypothenuse}\)The cosine of a certain angle θ is equal to the ratio between the side sdjacent to said angle and the hypothenuse of the triangle.
For the given triangle the side adjacent to ∠A is AC=5 and the hypothenuce is AB=13
THe cosine of A is then:
\(\begin{gathered} \cos A=\frac{AC}{AB} \\ \cos A=\frac{5}{13} \end{gathered}\)Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.
AB = 16, BC = 8, and CD = 9
Answers
The value of x cannot be determined and the answer is undefined.
To find the value of x in this scenario, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, triangle ABC is a right triangle with AB as the hypotenuse. So, we can use the Pythagorean theorem to solve for AC, which is equal to the square root of (AB^2 - BC^2).
Using the given values, we have:
AC = sqrt(16^2 - 8^2)
AC = sqrt(256 - 64)
AC = sqrt(192)
AC ≈ 13.86
Now, we can use triangle ACD to solve for x. This triangle is also a right triangle with CD as the hypotenuse. So, we can use the Pythagorean theorem again to solve for AD, which is equal to the square root of (CD^2 - AC^2).
Using the given values, we have:
AD = sqrt(9^2 - 13.86^2)
AD = sqrt(81 - 192.23)
AD = sqrt(-111.23)
We can't take the square root of a negative number, so there is no real solution for x in this scenario.
To learn more about : value
https://brainly.com/question/843074
#SPJ11
Chevy and 167 mile bicycle trip to build up stamina for a triathlon competition unfortunately his bicycle chain broke so he finished a trip walking the whole trip took six hours if Jim walks at a rate of 4 mph and rides at 30 mph find the amount of time he spend
on the bicycle
Answers
The amount of time Chevy spent on the bicycle is 5.5hours or 5 hours 30 minutes.
Given that:-
Total distance = 167 miles
Speed of bicycle = 30mph
Speed of Chevy walking = 4 mph
Total journey time = 6 hours
We have to find the amount of time Chevy spent on the bicycle.
Let the time spent on bicycle be x hours and,
Let the time spent on walking be y hours
Hence, we can write,
30x + 4y = 167 ... (1)
Also,
x + y = 6 ... (2)
Multiplying (2) by 4, we get,
4x + 4y = 24 ...(3)
(1) - (3), Using elimination method, we get
(30x - 4x) + (4y - 4y) = 167 - 24
26x + 0 = 143
x = 143/26 = 11/2 =5.5 hours = 5 hours 30 minutes.
To learn more about elimination method, here:-
https://brainly.com/question/14619835
#SPJ1
Please help me with this :)
Answers
Answer:
ΔABC and ΔZYX
Step-by-step explanation:
These two triangles are similar because they can be rotated, reflected and scaled to match each other.
EASY POINTS!
Winter has just begun. After one week, the temperature decreased by 46.8° with a
percent change of 72%. What was the temperature at the beginning of the week and
what is the temperature now?
Answers
Answer:Can somebody also help me with this. i'm confused please hurry!
Step-by-step explanation:
what is the average allowance for each student?
$7,$12,$8.50,$10,$7,$8,$10.50,$11
Answers
The average allowance for each student is $9.25.
What is the average allowance for each student?To find the average allowance for each student, we need to add up all the allowances and divide by the total number of students.
Adding up the allowances:
$7 + $12 + $8.50 + $10 + $7 + $8 + $10.50 + $11 = $74
There are 8 students, so we divide the total allowance by 8 to get:
$74 / 8 = $9.25
Therefore, the average allowance for each student is $9.25.
Read more about mean at
https://brainly.com/question/987944
#SPJ1
The cube has a volume of 64 cubic inches. What is the length of a side of the cube? Explain. PLEASE HURRY!
Answers
Answer:
4
Step-by-step explanation:
a^3 = 64
therefore , a = 4
A^3 = 64
Therefore a = 4
prove that, given a nonnegative integer , there is a unique nonnegative integer such that m^2 < sqrt n < (m 1)^2
Answers
It is proved that m = √n.
To prove that given a nonnegative integer n, there is a unique nonnegative integer m, we just need to take the square root of the given equation:
m^2 ≤ n < (m + 1)^2.
So, after taking the square root, it will be:
m ≤ √n < m + 1
From that we can see m = √n is the unique m.
What is a nonnegative integer?A nonnegative integer is an integer which is either positive or zero. It is the union of the natural numbers and the number zero. Occasionally, it is referred to as Z*, and it can be described as the set {0, 1, 2, 3, 4, 5, …}. In other words, nonnegative integers are integers that are not negative.
Learn more about nonnegative integer at: https://brainly.com/question/13684481
#SPJ4
Although part of your question is missing, you might be referring to this full question: Prove that given a nonnegative integer n, there is a unique nonnegative integer m such that m^2 ≤ n < (m+1)^2.
Can someone help me find \(\frac{8}{7} = m + \frac{2}{8}\)
Answers
Answer:
m=25/28
Step-by-step explanation:
What value of x makes the statement true?
"Subtracting 1 from the product of 5 and x gives the same value as adding 10 to the product of 3 and x."
Record your answer in the boxes below. Be sure to use the correct place value.
Answers
Answer:
5x-1=10x+3x
5x-3x=10+1
2x=11
x=11/2
someone please help me answer this!!
Answers
Answer:
c = 85 in is the answer.
Step-by-step explanation:
a = 36 in
b = 77 in
c = ?
According to the Pythagoras theorem,
a² + b² = c²
36² + 77² = c²
1296 + 5929 = c²
7225 = c²
c = 85 in
∴ c = 85 in is the length of the missing leg.
36^2+77^2=c^2
1296+5929=c^2
C^2=7225
C=-_/7225
C=85
The expression 10s+5m represents a student’s score on a social studies test, where s = the number of correct short answer items and m = the number of correct multiple choice items. Noor answers 16 multiple choice items correctly. She does no answer any short answer items correctly. What is Noor’s score?
A. 31
B. 15
C. 80
D. 160
Answers
Can you explain how u got 31?
15–18: INTERPRETING SCATTERPLOTS. Consider the following scatterplots.
a. State whether the diagram shows a positive correlation, a negative correlation, or no correlation. If there is a correlation, is it strong or weak?
b. Summarize any conclusions that you can draw from the graph.
The scatterplot below shows the average points per game and percentage on three-point shots for the leading scorers of the 2020 Women’s National Basketball Association (WNBA). (Source: WNBA Advanced Stats)
Answers
In agreement, there is no correlation between the values of the graph because there is no constant that determines the relationship between the average of points and the percentage of failures of three points.
Is there any correlation between the values?Based on the information in the graph, we can infer that there is no correlation between the values in the graph, since neither influences the other (does not modify it). Due to the above, we can establish that the values have no correlation because they are independent and do not depend on each other.
In this case, we can see that the percentage of 35% is in two values: one below 19 and one above 19. This means that there is no correlation because if there were, the values would have an obvious trend.
To conclude we can say that there is no correlation between these values because there is no a constant relationship that determines the location of the points in the graph.
Learn more about correlation in: https://brainly.com/question/30116167
#SPJ1
What is the area of figure?
A. 56 square meters
B. 80 square meters
C. 120 square meters
D. 136 square meters
E. 152 square meters
(quiz help )
Answers
Answer:
D
Step-by-step explanation:
8×16=128
2×4=8
128+8=136m^2
answer: D