Answer:
It will take 4 Hours
Step-by-step explanation:
5 x 40 equals 200 (So 200 is the total distance needed to be made)
We can now divde the total distance by how fast the car is moving to get the time.
200 / 50 = 4
So the answer is 4 hours
a blueprint for a house has a scale of 1:25 a wall in the blueprint is 3 inches what is the length of the actual wall in feet
The length of the actual wall in feet is 4.69 feet.
In mathematics, what are scales?The term scale is used in mathematics to represent the relationship between a measurement on a model and the corresponding measurement on the actual object. A scale is a set of levels or numbers that are used in a specific system of measuring or comparing things.
In this case, the blueprint for a house has a scale of 1:25 a wall in the blueprint is 3 inches, the length of the actual wall in feet will be:
= 3 × 25
= 75 inches
Since 1 feet = 16 inches
75 inches will be:
= 75/16
= 4.69 feet.
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Caleb wa out at a retaurant for dinner when the bill came. Hi dinner came to $21. He wanted to leave a 31% tip. How much wa hi meal plu the tip, before tax, in dollar and cent
If Caleb dinner was for $21 then the total bill including tip will be $27.51 .
Caleb went out for the dinner ;
the amount for the dinner = $21 ;
the percent of tip that Caleb want to leave = 31% ;
that means ; tip amount = 31% of dinner amount ;
So , tip amount = 31% of $21 = 0.31 × 21 = $6.51 ;
the tip amount = $6.51 ;
the total bill = bill for dinner + tip amount = $21 + $6.51 ;
= $27.51 .
Therefore , the total bill amount is 27 dollars and 51 cents .
The given question is incomplete , the complete question is
Caleb was out at a restaurant for dinner when the bill came. His dinner came to $21. He wanted to leave a 31% tip. How much was his meal plus the tip, before tax, in dollar and cent ?
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If the function g is defined as g(x)=3x2−5(x+2), what is the value of g(4)?
The value of the function g(x) at g = 4 is 18.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is a function g(x) as follows -
g(x) = 3x² - 5(x + 2)
We have the following function as -
g(x) = 3x² - 5(x + 2)
For g(4), we can write -
g(4) = 3 x (4)² - 5(4 + 2)
g(4) = 3 x 16 - 5 x 6
g(4) = 48 - 30
g(4) = 18
Therefore, the value of the function g(x) at g = 4 is 18.
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in class a there are 20 students 14 of them are girls in class b there 25 students 15 of them are girls (a) which class has more girls?
(b) which class has greater percentage of girls?
Answer:
(A) Here, as we can see class A has more girls than class B.
(B) Class A has a greater percentage of girls.
Step-by-step explanation:
Given;In class A there are 20 students 14 of them are girls.In class B there are 25 students 15 of them are girlsSo,
For class A
14/20 × 100 = 70%For class B
15/25 × 100 = 60%(A) Here, as we can see class A has more girls than class B.
(B) Class A has a greater percentage of girls.
Find the area of the pizza if the diameter is 15 in.
Answer:
176.7 square inches
Step-by-step explanation:
You want the area of a 15 inch diameter pizza.
AreaThe formula for the area of a circle in terms of its diameter is ...
A = (π/4)d²
The area of the pizza is ...
A = (π/4)(15 in)² = 225π/4 in² ≈ 176.7 . . . square inches
The area is about 176.7 square inches.
21. Calculate the future value of a $7,000 after 9
years, when there is an interest rate of 2.05%
with quarterly simple interest payments.
[A] $7,322.88
[D] $8,419.30
[B] $8,414.35
[E] $7,527.31
[C] $6,148.05
To calculate the future value of a $7,000 investment with a 2.05% interest rate and quarterly simple interest payments over 9 years, you can use the following formula:
Future value = Principal * (1 + (Interest rate / Number of compounding periods per year)) ^ (Number of years * Number of compounding periods per year)
Plugging in the values given in the question, we get:
Future value = $7,000 * (1 + (0.0205 / 4)) ^ (9 * 4)
This simplifies to:Future value = $7,000 * (1.005125) ^ 36
Using a calculator or spreadsheet to calculate this value, we get:
Future value = $8,414.35
Therefore, the correct answer is [B] $8,414.35.
Jen Butler ha been pricing Speed-Pa train fare for a group trip to New York. Three adult and four children mut pay $129 Two adult and three children mut pay $92 Find the price of the adult' ticket and the price of a child' ticket
The price of the adult ticket is calculated to be $19 and the price of a child ticket is calculated to be $18.
The price of the adult ticket and the price of a child ticket can be calculated by using algebraic expressions as follows;
Considering adult ticket price = y and child ticket price = x;
The algebraic equations for tickets can be given as follows;
3y + 4x = $129
2y + 3x = $92
Now we can calculate y as follows;
3y + 4x = 129
3y = 129 - 4x
y = 129 - 4x / 3
Adding this value of y in the second equation as follows;
2y + 3x = 92
2(129 - 4x / 3) + 3x = 92
258 - 8x / 3 + 3x = 92
258 - 8x / 3 = 92 - 3x
258 - 8x = 3(92 - 3x)
258 - 8x = 276 - 9x
9x - 8x = 276 - 258
x = $18
Hence the price of a child ticket is $18 and the price of an adult ticket can be determined as follows;
2y + 3x = 92
2y + 3(18) = 92
2y + 54 = 92
2y = 38
y = 38 / 2
y = $19
Therefore the price of an adult ticket is $19.
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find the value of x and y.
(3x+19)°
(4x+14)°
And y ♂️
Answer:
X=34 Y=146
Step-by-step explanation:
3x+19is equal to 4x+14 through this we can look for the value of x which is 34
angles in a straight line add up to 180 and all ready have 34 so we will take 180-34 = 146
Helpppp!!
7.5
15.
30.
None of these choices are correct.
Answer:30
Step-by-step explanation:
In a triangle, the midsegment is half of base (AC)
so, AC would be double of DE, meaning 15×2=30
suppose that 45% of people own dogs. if you pick two people at random, what is the probability that they both own a dog? give your answer as a decimal (to at least 3 places) or fraction
Answer:
0.2025 or 20.25%
Step-by-step explanation:
The problem says the probability of ONE person having a Dog is 45%
This is 0.45 in decimal form
But what are the chances TWO random people BOTH have Dogs. The chances would decrease!
To find the probability, you need to multiply the probability of one person by the probability of another person. They both have the same probability of having a Dog.
This looks like:
0.45 (person 1) × 0.45 (person 2) = 0.2025
The number of times 0.45 is in the equation above is the same number as the people in the problem!
FILL IN THE BLANK. The size of the observed effect, the number of subjects or observations, and the ___ of data within each group are all involved in the calculation of a p-value
variability.
In statistics, variability refers to the spread or spread of a data set. It is a measure of how much the data points in the dataset differ from each other and from the mean (mean) of the data.
There are several ways to quantify dataset variability. A common measure of variability is range. This is the difference between the highest and lowest values in the dataset. Another measure of variability is variance. This is a measure of how far the data points are from the mean. Standard deviation is another measure of variability calculated by taking the square root of the variance.
In addition to these measures of variability, there are other statistical techniques that can be used to summarize the spread of datasets, such as Box plot and histogram. These techniques help visualize data variability and identify outliers.
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for a random sample of 90 such pairs, where is the sampling distribution of x centered, and what is the standard deviation of the x distribution?
The standard deviation of the x distribution for a random sample of 90 pairs will be 0.168 .
As stated in the assertion
The sample n has been provided, and we need to determine the sample's standard deviation.
For this reason, we know that the standard deviation of the sample is equal to the population's standard deviation divided by the square root of the sample's length.
The value of alpha is given as,
alpha = 1.6.
Assume that for a specific type of aluminum alloy sheet, X is the sample mean Young's modulus for a random sample of 90 sheets, and
s = alpha/ 90 s
= 1.6/9.48 s
= 0.168
Therefore, 0.168 is the x distribution's standard deviation.
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Solve for m.
−2.4(m−2/3)=−9
Enter your answer as a simplified mixed number in the box.
m =
PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
The solution of the linear equation −2.4(m − 2/3) = −9 will be 4 ⁵/₁₂.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
−2.4(m − 2/3) = −9
Simplify the equation, then we have
−2.4(m − 2/3) = −9
m - 2/3 = 9/2.4
m - 2/3 = 15/4
m = 15/4 + 2/3
m = 53 / 12
m = 4 ⁵/₁₂
The arrangement of the straight condition −2.4(m − 2/3) = −9 will be 4 ⁵/₁₂.
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A new bank customer with $5,000 wants to open a money market account. The bank is offering a simple interest rate of 1,6%.
a. How much interest will the customer earn in 10 years?
b. What will the account balance be after 10 years?
Answer:
$860.10
Step-by-step explanation:
I need help to understand this problem cause I forgot how to do it.
Answer:
f (-4) = -5
Step-by-step explanation:
Look at the graph and see the y coordinates when x = -4.
Here, when x = -4, y = -5.
Kayla pays 18% of her earnings in taxes. This week she earns a total of $1,200. Kayla wants
to know how much of her earnings are left over after taxes are paid.
How much does Kayla pay in taxes?
Answer:
She has $984.00 left after taxes.
She pays $216.00 in taxes
Step-by-step explanation:
1200 x .18 = 216
She pays $216.00 in taxes
1200 - 216 = 984
She has $984.00 left after taxes.
What is the solution to the linear equation?
-12+36-1=-5-b
O b = -2
O b = -1.5
O b = 1.5
O b=2
Answer: b = -2
Step-by-step explanation:Its Oviedo
Answer:
Step-by-step explanation:
SOOOO you would first start by....
ADDING 5 TO BOTH SIDES
You would get -12 + 36 -1 + 5 = -b
cause
addition is the opposite of subtraction and
now the -5 on the right side will be moved to a plus 5 on the left. This isolates the -b term.
Add up the right side and you get 28 = -b
So next up is a very interesting step.
Multiply both sides by -1, which results in negative terms becoming positive and positive terms becoming negative.
THEREFORE
You get the answer to b = -28
which is none of the answers above
thank me
What is the quotient of three and one-third ÷ three-fourths?
At his job, Jake earns $7.50 per hour. He also earns a $55 bonus every month. Jake
needs to earn at least $235 every month.
Part A. Jake determines that the inequality 7.50h + 55 ≥ 235 can be used to calculate
the number of hours he needs to work each month. Explain why the symbol ≥ is used
within the inequality.
Part B. Solve and graph the solution set for the number of hours Jake needs to work
each month.
a) The symbol ≥ is used within the inequality because the lower bound 235 is an acceptable salary.
b) The solution to the inequality is given as follows:
h ≥ 24.
This means that Jake must work at least 24 hours each month, which is represented on the number line shown at the end of the answer.
How to solve the inequality?The inequality in this problem is defined as follows:
7.50h + 55 ≥ 235.
It gives the number of hours that Jake must work to earn at least $253.
The inequality is solved similarly to an equality, isolating the variable of interest. The difference is that the result gives a range of values, instead of a simple value.
The solution is then obtained as follows:
7.50h + 55 ≥ 235
7.5h ≥ 180
h ≥ 180/7.5
h ≥ 24.
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Write the equation of direct variation that includes the given point .
(-6,5)
(14,-28)
Answer:
33/20
Step-by-step explanation:
The direct variation is the slope, or how much the y-value of the line changes when the x-value of a line increases by 1.
Plug into the formula:
[tex]\frac{y_2-y_1 }{x_2-x_1}[/tex]
[tex]\frac{-28-5}{14--6}[/tex]
[tex]\frac{33}{20}[/tex]
List the statements and reasons thanks!
The given congruency proof to show that AE ≅ A F is; SSS Congruency Postulate
How to carry out congruency proof?From the given items, we see that the congruency proofs are;
Statement 1; ΔEBC ≅ ΔFDC
Reason 1; Given
Statement 2; ∠EAC ≅ ∠ECA
Reason 2; Given
Statement 3; ∠FAC ≅ ∠FCA
Reason 3; Given
Statement 4; AE ≅ A F
Reason 4; SSS congruency postulate
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Determine the domain and the range of the function.
f = {(2,4),(29,-7),(44, 4), (54, 2)}
The domain of the given function is {2, 29, 44, 54} and the range is {-7, 2, 4}.
What are the domain and range of functions?The domain of a function represents the set of input values to the function and the range of a function represents the set of output values for the domain of the function.
Domain - {x coordinates of the points in a function}
Range - {y coordinates of the point in a function}
Calculation:The given function is
f = {(2, 4), (29, -7), (44, 4), (54, 2)}
So, the x coordinates of the function are formulated in a set as {2, 29, 44, 54} and the y coordinates are {-7, 2, 4}
Where output 4 is repeated.
Then, the domain of the function is given by the set {2, 29, 44, 54} and the range of the function is given by the set {-7, 2, 4}.
The mapping of the given function is shown in the figure below.
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What is the measure of ∠xbc? m∠xbc = m∠bac m∠bca 3p – 6 = p 4 84 3p – 6 = p 88 2p – 6 = 88 2p = 94 m∠xbc = °
The measure of m∠XBC=(3p-6)°=(3·47-6)°=135°.
What is meant by geometric mean theorem?The relationship between the height on the hypotenuse of a right triangle and the two line segments it generates on the hypotenuse is described by the right triangle altitude theorem, also known as the geometric mean theorem, which is a consequence of elementary geometry. It claims that the altitude is equal to the geometric mean of the two segments.The later version provides a method for squaring a rectangle using a ruler and compass, which entails creating a square with the same area as the rectangle in question.Since the inverse of Thales' theorem guarantees that the hypotenuse of the right angled triangle is the diameter of its circumcircle, the theorem may also be seen as a specific example of the intersecting chords theorem for a circle.Given data :
m∠XBC = m∠BAC + m∠BCA,
Now if : m∠XBC=(3p-6)°: m∠BAC=(p+4)°: m∠BCA=84°,
then we get the equation :
3p-6=p+4+84
(option 2), 3p-6=p+88
(option 3), 3p-p-6=p-p+88,2p-6=88
(option 4), 2p-6+6=88+6,2p=94
(option 5), p=47.
Then m∠XBC=(3p-6)°=(3·47-6)°=135°.
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Answer:
135
answer in picture
Step-by-step explanation:
Fill in the missing parts. 1/7 of...is 1/35
Answer:
1/5
Step-by-step explanation:
of: *
is: =
1/7 * x = 1/35
Multiply by 7 on both sides.
7(1/7x) = 7(1/35)
x = 1/5
Algebra 1: Write and solve two-variable linear equations: word problems
Riley plans to join a members-only speaker series for $50. As a member, she will pay just $12.50 for each event she attends.
Write an equation that shows how the total cost, y, depends on the number of events Riley attends, x.
Do not include dollar signs in the equation.
Answer:
y = 12.50x + 50
Step-by-step explanation:
The linear equation is y=mx + b
b in this one is 50
And the x or the slope is 12.50
b. There are 39 books and 21 binders
Write the ratio of binders to books.
Answer:
The ratio is 7 : 13
Step-by-step explanation:
There are 39 books and 21 binders
Write the ratio of binders to books.
binders: books
21 : 39
Divide each side by 3
21/3 : 39:3
7 : 13
The ratio is 7 : 13
Answer:
Ratio is [tex]\frac{7}{13}[/tex] or 7 : 13
Step-by-step explanation:
the formula would be 21 ÷ 39
next would be to cross out the common factor which is [tex]\frac{7}{13}[/tex]
so the final answer is [tex]\frac{7}{13}[/tex]
Keilantra and her children went into a movie theater and will buy drinks and pretzels.
She must buy no more than 7 drinks and pretzels altogether. Write an inequality that
would represent the possible values for the number of drinks purchased, d, and the
number of pretzels purchased p.
The inequality that would represent the possible values for the number of drinks purchased, d, and the number of pretzels purchased p will be p + d ≤ 7.
How to illustrate the inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal.
From the information, Keilantra and her children went into a movie theater and will buy drinks and pretzels and she must buy no more than 7 drinks and pretzels altogether
In this case, the inequality will be p + d ≤ 7. It implies that they should not be more than 7.
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if x and t represent distance and time, respectively, the c in x = 1/2ct 2 must
C have dimension of [tex]\frac{L}{T^2}[/tex] in the given equation.
What is dimension of physical quantity?The term "dimension" refers to the power to which the fundamental quantities are magnified in order to express a physical quantity. The letters [M], [L], and [T] stand for mass, length, and time, respectively.
given the equation is:
x = [tex]\frac{1}{2}Ct^2[/tex]
and given that x represents distance and t represents time
as we know Dimension of x id L and dimension of time is T
and according to dimensional analysis dimesion of Left side must be equal to dimension to Right side.
let [x] denote dimension of x
so [x] = [C] [[tex]t^2[/tex]]
as [x] = L and [[tex]t^2[/tex]] = [tex]T^2[/tex]
L = [C] * [tex]T^2[/tex]
so [C] = [tex]\frac{L}{T^2}[/tex]
so dimenstion of C is [tex]\frac{L}{T^2}[/tex]
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Andrea loaned $5 to each of 20 people. She recorded each loan by writing -$5 in her bank book. What is the total amount of money Andrea has written in her bank book after the loans?
Answer: -$100
Step-by-step explanation:
We know that Andrea loaned $5 to each of the 20 people.
So 5 times 20 = -$100
Solve the following inequality using the algebraic approach:
x + 2 greater-than 3 x minus 8
a.
x greater-than negative 5
b.
x less-than negative 5
c.
x less-than 5
d.
x greater-than 5
To solve the given inequality, the solution is: x < 5. So, the correct answer is option C.
Here, we can solve the inequality x + 2 > 3x - 8 as follows :
We get 2 on both sides of an inequality by the process of subtraction
or, x + 2 - 2 > 3x - 8 -2
or, x > 3x -10
We get 10 on both sides of an inequality by the process of addition
or, x +10 > 3x -10 + 10
or, x + 10 > 3x
We get x on both sides of an inequality by the process of subtraction
or, x + 10 -x > 3x -x
or, 10 > 2x
We get 2 into both sides of an inequality by the process of division
or, 5 > x
Therefore, x < 5.
To solve the given inequality, the solution is: x < 5. So, the correct answer is option C.
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