Answer:
We conclude that the train can travel 2240 miles in 16 hours.
Step-by-step explanation:
Given that a super train traveled 420 miles in 3 hours.
Distance covered = 420 milesTime taken = 3 hoursStep 1 of 2
Determine distance per hour
Important Tip:
The distance per hour can be determined by dividing the distance covered by the time taken.Distance per hour = Distance Covered / Time taken
= 420 / 3
= 140 miles per hour
Step 2 of 2
Determine the distance traveled in 16 hours
We already know that a super train travels 140 miles per hour. In other words, the speed of the super train is 140 miles per hour.
Important Tip:
To determine the distance covered in 16 hours, all we need to do is to multiply the distance covered per hour i.e. 140 with the total number of hours i.e. 16.Distance traveled in 16 hours = Distance per hour × 16
= 140 × 16
= 2240 miles
Conclusion:
Therefore, we conclude that the train can travel 2240 miles in 16 hours.
3x+y=-9
Y=5x+7
Solve the system of linear equations by substitution
Answer:
x=-2
Step-by-step explanation:
Substitute y=5x+7 into the equation 3x+y=-9
So you will have, 3x+5x+7=-9
3x+5x=8x
8x+7=-9
8x+7-7=-9-7
8x=-16
x=-2
Can someone help me please?
Answer:
ill try what's the problem???
Step-by-step explanation:
f(x)=2x^2-5x-20
find f(-9)
Answer:
The output when x = -9 is f(x) = 187.
Step-by-step explanation:
We are given a function and asked to find the output of that function.
The input of a function refers to a value that is substituted into the function in order to simplify it to a final value.The output of a function is the value that is achieved when the input is substituted into the equation and the function is evaluated.Our standard function is in the form of a quadratic equation.
[tex]ax^2+bx+c=0[/tex]
Let's check for a change in the presentation of the first value in the equation.
[tex]\bold{f(x)} = 2x^2 - 5x - 20\\\\\bold{f(-9)}[/tex]
We see that x becomes -9. We also know that from conventional algebra, we need to make this change throughout the entire equation. Therefore, since we changed the x in f(x), we need to change it in 2x² - 5x - 20 as well.
[tex]f(-9) = 2(-9)^2 - 5(-9) - 20[/tex]
Now, it's time to simplify this function. Let's first simplify the first term of the function: [tex]2(-9)^2[/tex].
Let's follow PEMDAS in order to simplify the term.
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
When using this acronym, make sure that all operations are performed left to right.
We see that -9 is raised to the power of 2, so we square -9. Otherwise, we carry out the following operation.
[tex]-9 \times -9 = 81[/tex]
Then, we see that 2 is multiplied into this value. Therefore, we multiply 81 by 2.
[tex]81 \times 2 = 162[/tex]
Now, we need to subtract the product of 5 and -9.
[tex]5 \times -9 = -45[/tex]
[tex]162 - - 45 = 207[/tex]
Finally, we subtract 20 from this value.
[tex]207 - 20 = 187[/tex]
Therefore, the value of f(-9) is 187.
[tex] \sf f(x) = 2 {x}^{2} - 5x - 20[/tex]
To Find :-[tex] \sf f( - 9)[/tex]
Solution :-[tex] : \implies \sf f( - 9) = [2 \times( { - 9}^{2} )]-[ 5 \times - 9] - 20[/tex]
[tex] : \implies \sf f( - 9) = 2 \times 81 + 45 - 20[/tex]
[tex]: \implies \sf f( - 9) = 162 + 45 - 20[/tex]
[tex] : \implies \sf f( - 9) = 207 - 20[/tex]
[tex]: \implies \bf f( - 9) = 187[/tex]
Can somebody Plz ANSWER
Answer:
The Height of an Average Door is about 80 Inches. So it is 7 Feet
Step-by-step explanation:
Converting 7 feet into Inches it becomes 84, which is the closet to a standard door.
Find the area of a rectangle with a base of 15 feet and a height of 20 feet.
Answer:
1/2 times base times height. So you would do 1/2 x 15 x 20 equals....
Step-by-step explanation:
What must NOT be included in an expression?
1. an equals sign
2. at least one variable
3. one or more numbers
4. an operation such as addition
Answer:
1. an equal sign
Step-by-step explanation:
An expression is a mathematical statement that does not contain an equal sign. It cannot be solved for unless the value of the variable is given.
Answer:
1. an equals sign
Step-by-step explanation:
expression does NOT have a equal sign but an equation does have an equal sign.
What is the length of a diagonal of rectangle EFGH?
Answer:
Step-by-step explanation:
So it is 3 by 7 rectangle and diagonal
FE=3 EH=7 so FH=6
Need help with 2 math questions pls help me for 20 points.
Mr Tan monthly salary is $2999.52. In order to fill up a membership application form, mr Tan has yo roping off his monthly salary to the nearest dollar. What should he write on the application form for his monthly salary?
Answer:
three thousand dollars
Step-by-step explanation:
you round up to 3000
Solve the following story problem.
The perimeter of a rectangle is 60 inches. The length is four times the
width.
What are the length and width of the rectangle?
Define your variables.
X =
Equation 1
y =
Equation 2
What is the length?
what is the width?
Answer:
The perimeter of a rectangle is equal to 2L + 2W, where L = the length of the rectangle and W = the width of the rectangle. So, one equation is
2L + 2W = 60
From the info given in the problem, we also know that L = 4W. Therefore, we can use the Substitution Method to re-write the first equation as:
4W + 2W = 60
You should be able to solve this equation for W. Once you find W, you can then calculate L.
Step-by-step explanation:
HELP DUE IN 10 MINS! Finish the similarity statement.
∆DEC ~ ∆??
Answer:
pog
Step-by-step explanation:
that test :P
what is the difference (7² + 8² + 9²) - (6² + 5² + 4²)
Answer:
199
Step-by-step explanation:
49 + 64 + 81 - 36 +25+16
194 - 36 +25 + 16
-36 + 25 + 16
= -11 + 16 = 5
194 + 5 = 199
The surface area of a right circular cone is 24π in.. The cone is enlarged by multiplying both the radius of the base and the slant height by 2. What is the surface area of the new cone?
A. 48π in.
B. 72π in.
C. 96π in.
D. 192π in.
Answer:
c 96Step-by-step explanation:
i took the test hope this helps
A local hamburger shop sold a combined total of 450 hamburgers and cheeseburgers on Thursday. There were 50 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?
Answer:
250 hamburgers
Step-by-step explanation:
so if there were 50 less cheeseburgers then I would take 50 away from 450 and I would get 400. And then I divided it by 2. And so 200+50 = 250 so 250 hamburgers and 200 cheeseburgers. I hope this helps and I'm not good at explaining. :)
PLEASE HELP!!Mathematically, when you square root a number, you
will get 2 solutions.
Sometimes True
Always True
Or Never True
Explain your thinking.
7(x + 2) = 6(x + 5) solve for x
X = 16
7 x + 14 - 6 x = 30
x + 14 = 30
6. Tim and Jude share some
money in the ratio 3:4. If Tim gets
$450. How much did they share?
Answer:
They shared $1050.
Step-by-step explanation:
Divide 450/3 = 150
150 * 4 = 600
If Tim gets $450, then Jude will get $600.
450 + 600 = 1050
If Tim gets $400, then Jude will get $600.
Please help me. its due in 15 minutes.
Answer:
sorry
Step-by-step explanation:
Answer:
$3,685.9
Step-by-step explanation:
Find the length of the third side. If necessary, write in simplest radical
form.
8
17
Answer:
9
Step-by-step explanation:
so we know that its a right triangle and 8 and [tex]\sqrt{17}[/tex] are not the hypotenuse.
the equation for this is [tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex] with c being the hypotenuse.
[tex]8^{2}[/tex]+[tex]\sqrt{17} ^{2}[/tex]=[tex]c^{2}[/tex]
64+17=[tex]c^{2}[/tex]
81=c
[tex]\sqrt{81}[/tex]=c
9=c
Answer:
Step-by-step explanation:
To make the use of Pythagoras's theorem clear
[tex]C^{2}[/tex] = [tex]A^{2}[/tex] + [tex]B^{2}[/tex]
where C is they hypotenuse or Hyp
A is one side often called the Adjacent side
B is the other side often called the Opposite side
when A = 8
and B = [tex]\sqrt{17}[/tex]
then
[tex]C^{2}[/tex] = [tex]8^{2}[/tex] + [tex]\sqrt{17} ^{2}[/tex]
[tex]C^{2}[/tex] = 64 + 17
[tex]C^{2}[/tex] = 81
C = [tex]\sqrt{81}[/tex]
C = 9
Eight angles of a nonagon measure 1389, 154º. 145°, 132°, 148°, 143,
147°and 150°. What is the measure of the ninth angle?
Answer:
103°
Step-by-step explanation:
The total angle in a nonagon is 1260. To get the missing angle, we add up all the given angle together and subtract it from 1260.
138 + 154º + 145° + 132° + 148° + 143 + 147 + 150 = 1157
1260 - 1157 = 103
Therefore, the missing angle is 103°
What is the measure
9514 1404 393
Answer:
∠SAP = 85°
Step-by-step explanation:
The whole is the sum of the parts.
∠SAX = ∠SAP + ∠PAX
142° = ∠SAP + 57° . . . . . . . use the given values in the equation
∠SAP = 142° -57° . . . . . . . . subtract 57° from both sides
∠SAP = 85°
What is the mean of the numbers given below? 1, 5, 7, 9, 11, 16, 18, 20, 30, 35 Report your answer in decimal form. Enter
Answer:
15.2
Step-by-step explanation:
1) First, add all of the numbers together. 1+5+7+9+11+16+18+20+30+35=152.
2) Then, divide this by the amount of numbers. There are 10, so it is 152÷10=15.2
3) The answer is 15.2
What is the missing length?
Rewrite each expression by combining like terms.
9tu - 15tu
PLEASE
Answer:
-6tu
Step-by-step explanation:
Classify the quadrilateral below.
Answer:
rhombus
Step-by-step explanation:
what is equivalent to (18x+21)-2x
Answer:
16x+21
Step-by-step explanation:
What is the GCF of 20, 10 and 30?
Answer:
10 is the GCF
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
write an algebraic expression for the verbal expression
x more than 7
Answer:
x+7
Step-by-step explanation:
idek kinda thought that was obvious but who know I could be wrong
The algebraic expression for the verbal expression x more than 7 will be x + 7.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The algebraic expression for the verbal expression x more than 7 will be
The numbers will be x and 7. And the sum of the numbers x and 7 will be given as,
⇒ x + 7
The algebraic expression for the verbal expression x more than 7 will be x + 7.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
(10x + 20) degrees what is the value of x
Answer:
I think 2
Step-by-step explanation:
10x=20
20 divided by 10= 2
Jason bought 4.5 kilograms of cream cheese. How many grams of cream cheese did Jason buy?
Answer:
the answer is 4500
Step-by-step explanation:
Answer:
He Bought 4,500 Grams of Cream Cheese.
Step-by-step explanation: