The speed John will be 47 miles per hour. Then the time to travel 376 miles will be 8 hours.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
John drove 235 miles in 5 hours. Then the speed of the John will be
Speed = 235 / 5
Speed = 47 miles per hour
If he continued at that same rate. Then the time to travel 376 miles will be given as,
47 = 376 / Time
Time = 376 / 47
Time = 8 hours
The speed John will be 47 miles per hour. Then the time to travel 376 miles will be 8 hours.
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Answer:8
Step-by-step explanation:
*HURRY help i’m taking a test*
mario will purchase 2 rare coins each month at a cost of $50 each. how much money will mario have spent on his coin collection after 2 years if he purchases an additional 3 coins at the end of the 2 years?
a. $1200
b. $2550
c. $2400
d. $1750
c. $1250
Answer:
it should be b.
Step-by-step explanation:
2 rare coins will make them $100 each month. There are 12 months in a year.
12 × 2 = 24 months
so $100 × 24 months will give us 2400.
Then Mario purchases 3 coins making it cost $150 ($50 + $50 + $50)
2400 + 150 = 2550
Brainliest plss :,)
Find the measure of each marked angle. Assume the lines are parallel.
x+4=
9x-34=
The angles are 19; 101
What are parallel lines?Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.
Given:
x+4, 9x-34
As, the lines are parallel
x+4 + 9x -34 = 180
10x + 30 = 180
10x = 150
x= 150/10
x=15
Hence, the angles are x+4 = 19; 9x-34 = 135 - 34 = 101
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A fraction is equivalent to 2/3. The product of its numerator and denominator is 216. What is the fraction?
Eve and her mom are volunteering at an emergency relief center. To help prepare in case of a flood, they pack emergency kits with food and water. Eve puts 5 water bottles into each kit they pack. In all, she packs 125 water bottles.
Which equation can you use to find the number of emergency kits k Eve packs?
Answer:
Step-by-step explanation:
no. of emergency kits = x
bottles per kit = 5
total no. of bottles = 5x
which means,
5x = 125
125/5 = x
x = 25
George wants 42 liters of a mixture of water and 15% lemon juice. he has a mixture of 5% lemon juice and a mixture of 20% lemon juice. how many liters of the 5% and 20% mixtures should he mix to get what he wants? (round you answer to the nearest tenth if necessary.)
The amount of 5% lemon juice mixture and 20% lemon juice mixture that needed to be mixed is 14 liters and 28 liters, respectively.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the amount of 5% lemon juice mixture that is needed to be mixed be represented by x, then the amount of 20% lemon juice mixture will be represented by (42-x), because the total mixture is needed to be 42 liters.
Now, given that George wants 42 liters of a mixture of water and 15% lemon juice with a mixture of 5% lemon juice, and a mixture of 20% lemon juice. Therefore, we can write,
5% of x + 20% of (42-x) = 15% of 42 liters
0.05x + 0.2(42 - x) = (0.15×42)
0.05x + 8.4 - 0.2x = 6.3
0.05x - 0.2x = 6.3 - 8.4
-0.15x = -2.1
x = -2.1 / -0.15
x = 14
Further, the amount of mixture of lemon juice that is needed to be mixed can be written as,
5% lemon juice mixture, x = 14 liters20% lemon juice mixture, (42 - x) = 28 litersHence, the amount of 5% lemon juice mixture and 20% lemon juice mixture that needed to be mixed is 14 liters and 28 liters, respectively.
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If the mean of 9 score is 4.5 what must the 10th score be for the mean of all score to be 5
The 10th score should be 9.5 for the mean to be 5.
What is mean value ?The mean value is the average value of the given data.
According to the given question the mean of 9 score is 4.5 what must the 10th score be for the mean of all score to be 5.
The total average score for 9 games is
= ( 9 × 4.5 )
= 40.5.
The total average score for the mean to be 5 in 10 games is
= ( 10 × 5 )
= 50.
∴ The 10th score must be ( 50 - 40.5 ) which is
= 9.5.
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is x to the 12th power times x to the fourth power equal to x to the 8th power times x to the 8th power? Explain
The equation is simplified as [tex]x^{16}=x^{16}[/tex].
The given equation is [tex]x^{12} . \ x^{4} = x^{8} . \ x^{8}[/tex].
We need to simplify and explain the equation.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Use the exponent rule [tex]a^m . \ a^n=a^{m+n}[/tex] to simplify the given equation.
Now, [tex]x^{12} . \ x^{4} = x^{8} . \ x^{8}[/tex]
⇒ [tex]x^{12+4}=x^{8+8}[/tex]
⇒ [tex]x^{16}=x^{16}[/tex]
The exponents of both the sides of equation are the same.
Therefore, the equation is simplified as [tex]x^{16}=x^{16}[/tex].
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PLEASE HELP ME!
How do the graphs of y = f (x) + k, y = f(x – h), and y = -f(x) compare to the graph of the parent function f?
f(x) + k will shift the graph up k units.
For example, the notation f(x) + 5 will shift the curve up by 5
If k is negative, then the curve shifts down that amount
-------------------------
f(x-h) shifts the graph to the right h units
Example: f(x-2) shifts to the right 2 units
Another example: f(x+7) shifts left 7 units. In this case, h = -7
--------------------------
y = -f(x) is a reflection over the x axis
This is because we're multiplying each y coordinate by -1
A point like (1,2) reflects to (1,-2)
5) One band rented a van to travel to Omaha. The band started out at 9:00AM, took a break at 9:32AM, and finally arrived in Omaha at 10:04AM. How many minutes did it take the band to reach Omaha?
Answer:
1 hour and 4 minutes
Step-by-step explanation:
Please help loll and show your work if you can
First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.
10) -6(-5+r) = 102
30 -6r =102
-6r = 72
r = -12
11) -1 = x - 4 +4
x =-1
12) 0 = -6x -2x
-8x = 0
x= 0
13)5n+ 4n =9
n =1
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need help with #3, and #4 please
The equation of the line from the given points marked on the graph is:
3. 3x+y+5=0
4. 3x+y+3=0
Given,
3.The points are:
(-1,-2) and (1,-8)
let the points be :
(-1,-2) = (x₁,y₁)
and (1,-8) = (x₂,y₂)
The equation of the line passing through the points (-1,-2) and (1,-8)
x - x₁/x₂-x₁ = y - y₁/y₂-y₁
For the given points, the equation is:
x-(-1)/1-(-1) = y-(-2)/-8-(-2)
x+1/2 = y+2/-6
-6(x+1) = 2(y+2)
-6x-6=2y+4
-6x-2y-6-4=0
-6x-2y-10=0
-2(3x+y+5)=0
3x+y+5=0 is the equation of the line.
4.The points are:
(-3,6) and (3,0)
let the points be :
(-3,6) = (x₁,y₁)
and (3,0) = (x₂,y₂)
The equation of the line passing through the points (-1,-2) and (1,-8)
x - x₁/x₂-x₁ = y - y₁/y₂-y₁
For the given points, the equation is:
x-(-3)/3-(-3) = y-6/0-6
x+3/6 = y-6/-6
-6(x+3) = 2(y-6)
-6x-18=2y-12
-6x-2y-18+12=0
-6x-2y-6=0
-2(3x+y+3)=0
3x+y+3=0 is the equation of the line
Hence we get the required equations of the line.
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A person's grade in school is generally identified by a number. give an example of a situation in which grade level is treated as categorical.
The grade level is treated as categorical when a principal wants to know the number of students from each grade will be participating in a performance.
Variables can be classified into quantitative and categorical. Quantitative variables are those which carry numerical values. Even though a person's grade in school is generally identified by a number, it is a categorical variable. Categorical variables classify data into different groups as the grade level. The grade level categorizes students into different grades and each grade level represents a particular grade only.
Any variable which is partly qualitative and represents groups of data are called categorical variables. Also grade level is ordinal. An example of a situation in which grade level is treated as categorical is when a principal wants to know how many students from each grade will be participating in a performance. Other examples of categorical variables are race, gender, age group, etc.
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From midnight to 7:00 am, the temperature rose 1.1 C each hour. If the temperature at 7:00 am was -0.3 C, what was the temperature at midnight?
The temperature at midnight is -8°C.
How to calculate the temperature?Let the initial temperature be x.
It should be noted that there are 7 hours between midnight and 7am.
Therefore, the equation will be:
x + (1.1 × 7) = -0.3
x + 7.7 = - 0.3
x = -0.3 - 7.7
x = -8
The temperature at midnight is -8°C.
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Elsa opens an account to save money for a family vacation. the account earns an annual interest rate of 4% 4 % . she earns $37 $ 37 in simple interest after 6 6 months.
Amount while opening account at rate of 4% for 6 months and earn simple interest $37 is $1850.
As given,
Simple interest amount earned by Elsa = $37
Annual interest rate R= 4%
Time T =6 months
Let P be the principal amount she put while opening account
Simple interest = (P × R × T) / 100
⇒37 ={P × 4 × (6/12)}/100
⇒P =(37 × 100) / 2
= $1850
Therefore, amount while opening account at rate of 4% for 6 months and earn simple interest $37 is $1850.
The complete question is:
Elsa opens an account to save money for a family vacation. The account earns an annual interest rate of 4%. She earns $37 in simple interest after 6 months. How much money did she put in the account when she opened it?
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how is solving |ax| + b = c different from solving |ax+b| = c?
Step-by-step explanation:
they are different because the first equation only ax is in absolute but in the second equation both ax and b are in absolute, so we could solve them differently.
what is 39/80 as a decimal
Answer:0.4875.
Step-by-step explanation:
Answer:
0.48750
explanation:
solve the simultaneous equation
-4x+3y=1
6x-y=2
Answer:
x = 1/2, y = 1
Step-by-step explanation:
Let's change the equation,
→ 6x - y = 2
→ y = 6x - 2
Then the value of x will be,
→ -4x + 3y = 1
→ -4x + 3(6x - 2) = 1
→ -4x + 18x - 6 = 1
→ 14x = 1 + 6
→ x = 7/14
→ [ x = 1/2 ]
Hence, the value of x is 1/2 (or) 0.5.
Now the value of y will be,
→ y = 6x - 2
→ y = 6(1/2) - 2
→ y = 3 - 2
→ [ y = 1 ]
Hence, the value of y is 1.
Answer:
x = ¹/₂
y = 1
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}-4x+3y=1\\\:\:\:\:\:\:6x-y=2 \end{cases}[/tex]
Multiply the second equation by 3:
[tex]\implies 3 \cdot 6x-3 \cdot y = 3 \cdot 2[/tex]
[tex]\implies 18x-3y=6[/tex]
Add this to the first equation to eliminate the term in y:
[tex]\begin{array}{lrr}&-4x+3y & = 1\\+ & 18x-3y& = 6\\\cline{2-3} & 14x \phantom{-3x)} & = 7\end{array}[/tex]
Solve for x:
[tex]\begin{aligned}\implies 14x & = 7\\\\\dfrac{14x}{14} & = \dfrac{7}{14}\\\\\implies x & = \dfrac{1}{2}\end{aligned}[/tex]
Substitute the found value of x into the first equation and solve for y:
[tex]\begin{aligned}-4x+3y & =1\\x=\dfrac{1}{2}\implies -4\left(\dfrac{1}{2}\right)+3y & =1\\-\dfrac{4}{2}+3y & =1\\-2+3y & =1\\-2+3y+2 & =1+2\\ 3y & =3\\\dfrac{3y}{3} & =\dfrac{3}{3}\\\implies y & =1\end{aligned}[/tex]
Therefore, the solution to the given system of equations is:
x = ¹/₂ and y = 1
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Make a Prediction Predict the sum of -2 + 2. Explain
your prediction and check it using the number line.
Answer:
My prediction of the sum is 0.
Hope this helps :)
Step-by-step explanation:
It is 0 because if you owe 2 dollars and you pay it back with 2 dollars then you have 0 dollars owed.
--------------------> 2nd: 2 (positive two - move right)
<-------------------- 1st: - 2 (negative two - move left)
<----------l----------l-----------l----------l----------l--------->
-2 -1 0 1 2
Nilai dari sin 135, bantuin kakk pliss
Answer:
[tex] \frac{ \sqrt{2} }{2} \: or \: 0.7071[/tex]
Step-by-step explanation:
[tex] \sin(135) = \frac { \sqrt{2} }{2} \: or \: 0.7071 [/tex]
Vaca books has a net profit margin of 5.1 percent, a total asset turnover of 1.84, and a return on equity of 16.2 percent. what is the debt-equity ratio?
The debt-equity ratio is 0.726 : 1 or 72.64%
What is the Debt?Debt is the product of debt ratio and total equity
Debt = debt ratio × total equity
We have been given that
Asset turnover = 1.84
Profit margin = 5.1%
Return on equity of 16.2 percent
Let we have to assume that sales are $100.
Therefore net Income = 100×0.051 = 5.1
Total Assets = 100/0.84
Total Assets = 54.35
⇒ 0.162 = 5.1 / Total equity
⇒ Total Equity = 5.1 / 0.162
⇒ Total Equity = 31.48
Total assets = Total debt + Total equity
⇒ 54.35 = Total debt + 31.48
⇒ Total debt = 54.35 - 31.48
⇒ Total debt = 22.87
The debt-equity ratio = 22.87 / 31.48
The debt-equity ratio = 0.72649 : 1 or 72.649%
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1. a bank offers a cd that pays a simple interest rate of 7.5%. how much money in dollars must you put in this cd in dollars now in order to have $5,000 in 3 years?
The money in dollars that must be put in this cd in order to have $5,000 in 3 years is $4,081.63
The formula for simple interest and procedure we will use to solve this exercise is:
A = P {1 + [(R/100) * T]}
Where:
P = principalR = rate of interest in % per annumT = timeA = amountInformation about the problem:
P = ?R = 7.5%T = 3 yearsA = $5,000Applying the simple interest formula and isolating the principal (P), we get:
A = P {1 + [(R/100) * T]}
$5,000 = P {1+[(7.5/100) * 3]}
$5,000 = P [1+(0.075*3)]
$5,000 = P (1+0.225)
$5,000 = P (1.225)
P = $5,000/ 1.225
P = $4,081.63
What is simple interest?It is the operation in which we calculate the profit produced by a capital loaned at a given percentage.
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PLS ASAP AND TY IF U ANSWERED
Answer:
3.5 un
Step-by-step explanation:
to find the new length of the square using a scale factor of 1/7 you can just multiply 24.5 by 1/7
this is basically dividing 24.5 by 7
24.5 / 7 = 3.5
that is your answer
Can you help me with writing a Autobiography .Please !!!
Answer:
Starting paragraphs:
My name is _______. I was born on a cloudy night on the ___ of _______, _____ in ___________ . My parents were very happy as they had been blessed with a baby boy/girl, and that girl/boy is me!
1 year passed by and my 1st birthday was celebrated with much joy and it turned out to be a super extravagant event.
I do not remember much of my early childhood but my parents said that I was a very active, curious and a communicative child. I would ask dozen of questions each minute, without waiting for the answers. I suppose that's why my parents offered me books as early as my third birthday.
Ending paragraph:
I am thankful for my parents, teachers and friends for making me the person who I am today.
Explanation:
Compose your autobiography with the help of the following points:
Past TenseParagraph for every new event occurring in your lifeChronological OrderPunctuationsAdjectives Personal PronounsDrama Teacher's Friend
Find the number that replaces each letter to complete the pattern in the
sequence. Use that number to replace the letter in the ordered pairs.
A =
1, 3, A, 7, 9, 11, B
3, C, 12, 24
2, 1, D, -1, -2, E, -4
F, 4, 9, 16, 25
7, 3,-1, G, -9
|||||||||||||||
E =
F =
G=
Answer:
hi 8jgvjig up uttgui86yghjBy paying $1500 cash and the balance is equal monthly payments, how many months would it take to pay for a car costing $12,495?
The monthly installments need to be paid is $10995.
To determine the number of months needed to pay off the remaining balance. We need to know the monthly installment.
What is installments?When you get an installment loan, you get the money you borrowed or the item you bought right away.
You pay it off in installments, which are regularly scheduled payments that may include interest. For a set number of months, or years, you generally owe the same amount on every installment. When the loan is fully repaid, the account is permanently closed.Now, as per the question;
Amount paid in cash = $1500
Remaining balance which is to be paid as monthly installments
= $12495 - $1500
=$12495 − $1500
=$10995
Thus, the monthly installments are $10995.
Now, to determine the number of months needed to pay off the remaining balance. The monthly installment is need to be known.
As a result, information on monthly installments is lacking.
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The complete question is-
What necessary piece of information is missing that prevents solving the problem? By paying $1500 cash and the balance in equal monthly payments, how many months would it take to pay for a car costing$12,495?
An inflationary gap occurs when the as curve and the ad curve intersect ________ of the potential gdp line.
An inflationary gap occurs when the SRAS curve and the AD curve intersect Right of the potential GDP line.
The SRAS curve:With the help of the short-run aggregate supply curve (SRAS), we can understand how each firm in an economy reacts to price stickiness. The SRAS curve will slope upward when prices are volatile. The SRAS curve illustrates that higher price levels lead to increased output.
AD curve:The demand for and supply of every good and service an economy produces are the main topics of discussion. As a result, the demand for all distinct goods and services is also combined and is known as aggregate demand.
What transpires throughout an inflationary gap?The price level of goods and services would then rise (naturally or as a result of government intervention) to compensate for the increased demand as well as an insufficient supply when an inflationary gap occurs. This price increase is known as demand-pull inflation.
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Find the derivative of the function using the definition of derivative. f(x) = kx d
Derivatives are essential for solving calculus and differential equation problems then the derivative of this function is [tex]$f^{\prime}(x)=k$[/tex]
What is meant by derivatives?The rate of change of a function with respect to a variable in Mathematics. Derivatives are essential for solving calculus and differential equation problems.
Given a traditional unbent position, f(x) = kx + d, where k is the pitch and (0, d) is the y-intercept.
a) Consider our position at two distinct points first:
f(x) = kx + d
f(x + h) = k(x + h) + d = kx + kh + d
Evaluate the derivative, then
[tex]$\lim h \rightarrow x \frac{f(x+h)-f(x)}{h}[/tex]
substitute the values in the above equation, we get
[tex]$&=\lim h \rightarrow x \frac{(k x+k h+d)-(k x+d)}{h} \\[/tex]
simplifying the above equation, we get
[tex]$&=\lim h \rightarrow x \frac{k h}{h} \\[/tex]
[tex]&=\lim h \rightarrow x k \\[/tex]
= k
Therefore, the derivative of this function is [tex]$f^{\prime}(x)=k$[/tex]
b. Since the actual function is linear, its part is all real numbers by definition.
c. Since the product is a constant function, its part is all real digits by meaning.
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Identify the domain and range of
the relation.
domain:
range :
Answer: domain is x and range is y
Step-by-step explanation:
Answer:
Domain: {2, 8, 30, 46}
Range: {-1, 9, 16}
Step-by-step explanation:
The domain of a function y = f(x) is the set of all values that the input values (x) that the function can accept. The range of a function is the set of all output values that the function can produce from the domain values ie the set of all values
Looking at the figure, the set of all x values that the function y can take are
{2, 8, 30, 46} and this is the domain
The output values produced from this domain are {-1, 9, 16} and that is the range
(-13,2)(-17,9) find the slope of the line through each pair of points
Work Shown:
[tex](x_1,y_1) = (-13,2) \text{ and } (x_2,y_2) = (-17,9)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{9 - 2}{-17 - (-13)}\\\\m = \frac{9 - 2}{-17 + 13}\\\\m = \frac{7}{-4}\\\\m = -\frac{7}{4}\\\\[/tex]
A slope of -7/4 means that we move down 7 and to the right 4.
f (x) = 2x² - x - 12
Find f(8)
Will give brainliest and 5 star rating. Thank you. :)
Answer:
f(8) = 108
Step-by-step explanation:
Hello!
Substitute 8 for x in the equation.
Evaluatef(x) = 2x² - x - 12f(8) = 2(8)² - (8) - 12f(8) = 2(64) - 8 - 12f(8) = 128 - 8 - 12f(8) = 108f(8) is 108.