Answer:
4
Step-by-step explanation:
Hope that helps!
9514 1404 393
Answer:
4
Step-by-step explanation:
Substitute the given value for y, then do the arithmetic.
[tex]\dfrac{y}{4}-2y-3\\\\=\dfrac{-4}{4}-2(-4) -3 \qquad\text{use $y=-4$}\\\\=-1+8-3=7-3=\boxed{4}[/tex]
You are helping your friend research hybrid cars. You learn that on a long- distance trip, the Chevrolet Volt traveled 571.95 miles on 12.3 gallons of gas. You also learn that the Toyota Prius traveled 753.48 miles on 15.6 gallons of gas. Determine which car got better gas mileage.
A Toyota Prius
B Chevrolet Volt
C The Two Hybrids Are Tied for the best mileage
D Not enough information to determine The answer
========================================================
Explanation:
To get the mileage per gallon, you divide the number of miles over the number of gallons.
For the Chevy Volt, the mileage is 571.95/12.3 = 46.5 miles per gallon (mpg)
For the Prius, the mpg rating is 753.48/15.6 = 48.3
So the Toyota gets the better mileage per gallon.
---------
If you're curious why we divide the numbers like that, consider this example
You drive 200 miles using 5 gallons of gas. We can form the ratio
200 miles : 5 gallons
To get the mpg rating, we need to know how many miles we can drive on 1 gallon of gas. So we divide both sides by 5
200/5 miles : 5/5 gallons
40 miles : 1 gallon
This hypothetical situation leads to 40 mpg
About 10% of Americans will go to a restaurant or an event for the New Year. About how many people would that be?
Answer:
About 33,199,213
Step-by-step explanation:
Population of America: about 331,992.130 million
331,992,130 x .10 = 33,199,213
A rectangle has a width of 46 centimeters and a perimeter of 202 centimeters. What is the rectangle's length?
Answer:
The awswer is 55
Step-by-step explanation:
Answer:
53
Step-by-step explanation:
The rectangle has a width of 46, multiply that by 2, you get 92, subtract 92 by 202 and you get 106. Divide 106 by 2 and you get 53
Christian opened a savings account with $3250. His account will earn 5.2% simple interest.
How much money will be in his account after 6 years?
The total amount of money will be in his account after 6 years is $4264.
Given that, principal = $3250, rate of interest = 5.2% and time period = 6 years.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.
Substitute P=$3250, R=5.2% and T=6 years in simple interest formula
That is, S.I. = (3250 × 5.2 × 6)/100
= $1014
Amount = Principal + Simple interest
= 3250 + 1014
= $4264
Therefore, the total amount of money will be in his account after 6 years is $4264.
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Use the discriminant to describe the roots of each equation. Then select the best description.
2 = x2 + 5x
double root
real and rational root
real and irrational root
imaginary root
[tex]2 = {x}^{2} + 5x[/tex]
Arrange the expression into the standard form.[tex]0 = {x}^{2} + 5x - 2 \\ {x}^{2} + 5x - 2 = 0[/tex]
DiscriminantFrom the standard form equation and from the given equation.
[tex]a {x}^{2} + bx + c = 0 \\ a = 1 \: \: \: b = 5 \: \: \: c = - 2[/tex]
Discriminant Formula
[tex]D = {b}^{2} - 4ac[/tex]
Substitute the value of terms in the discriminant formula.
[tex]D = {(5)}^{2} - 4(1)( - 2) \\ D = 25 - 4( - 2) \\ D = 25 + 8 \\ D = 33[/tex]
Discriminant Types
[tex]D > 0 \: \: \: \: 2 \: \: real \: \: roots \\ D = 0 \: \: \: \: 1 \: \: real \: \: root \\ D < 0 \: \: \: imaginary \: \: roots[/tex]
We can rule out the Imaginary root and double root because the discriminant is greater than 0. Therefore, the only choices are either Irrational or Rational.
However, we cannot factor the expression by using two brackets or common factor. We can say that the equation has two real irrational roots.
Answerreal and irrational rootthrough: (5, 1), slope = -1
Answer:
y = -x + 6
Step-by-step explanation:
Since the slope is -1, there is another point at (6,0), which is the x-intercept. The y-intercept is (0,6). The slope and y-intercept are then plugged into the slope-intercept form equation to get y = -x + 6
What is the decimal equivalent of - 2/5
help me please this do in 5 MIN
Answer:
B
Step-by-step explanation:
Because 7/12 is more then a half
Also its obvious that 1/8 is the least used
6th grade math help me plzzz
Answer: x-3y+12
Step-by-step explanation:
You need to know the rules for signed numbers. Study them.
Assuming addition of integers:
Separate your like terms and simply them:
so starting with x terms: -3x+4x ; (4x is the same as saying +4x)
so next with y terms: -2y-y; (remember -y is the same as saying -1y)
so next number with no terms: +7+5
Solve for each: -3x+4x= 1x
-2y-y= -3y
+7+5= 12
Simplify expression with solved termsin order: 1x-3y+12
ans: x -3y +12
Hope this helped.
a piece of cheese weighting 2/3 pound is to be divided into 8 equal portions. what will be the weight of each portion?
Answer:
1/12 lb
Step-by-step explanation:
2/3 x 1/8 = 2/24 = 1/12
Step-by-step explanation: 2/3 / 8/1 is actually multiplying the first number by the reciprocal of the second. So 2/3 x 1/8. That equals 0.08333... or 1/12.
Hope this helps!
Gereome has an hour and half before he has to leave to play basketball. If it takes him 7/12 an hour to do his homework and ⅗ of an hour to find his uniform, how much time will he have left?
Answer:
Summarize the end of the story and explain the resolution— when the conflict is solved :
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Step-by-step explanation:
If the circumference of a circle is x, then what is the area of the circle in terms of x?
Answer:
x^2 / 4pi
Step-by-step explanation:
The area of a circle is (pi x r)^2
The circumference of a circle is 2pi x r
The find the radius, you need to divide x by 2pi, so x / 2pi
Then just plug it in as the radius:
(pi x (x / 2pi))^2 = x^2 / 4pi
13x + 2y - 6x + 8
A little help
Answer:
7x + 2y + 8
......................................................................................................................................................................................................................................................................................................
Answer:
7x+2y+8 if you just do this equation regularly but in point intercept from it would be
2y=7x+8
then divided the others by 2y and you get
y=3.5x+8
Step-by-step explanation:
how do they know what numbers to pick
Answer:
casue i said so
Step-by-step explanation:
me coooooooooooooooooo
Help a random guy of the internet...that sounds weird
Answer:
I think 1 is yr answer
hope it helps.
Plz worth 70 points
What best describes the expression 6/y
1. 6 times some number
2. 6 divided by some number
3.minus some number
4.more than some number
Answer:
6 divided by some number y
Step-by-step explanation:
Let y be some unknown number
Given an expression 6/y
The slash sign (/) there means division. Hence the statement can be described as 6 divided by some number y
(-7/10)=?/10 change to higher terms please help !!
Answer:
-7
Step-by-step explanation:
you cant change the numerator if you cant change the denominator
Which table represents a linear function?
Answer:
The top right option.
Step-by-step explanation:
Luis rides his bicycle 34 mile in 5 minutes along the bike trail.
Assuming he rides at a constant rate, what is his speed, in miles per hour? Use the table to help find the answer.
Enter your answer in the box.
Answer: 6.8 Miles per hour. Hope i helped you out man!
Step-by-step explanation:
408 miles per hour
Step-by-step explanation:
34=5 minutes 34+34=68 minutes
68 x 6= 408 miles per hour
What is the solution to the system of equations ?
Y=4x-10
Y=2
Answer:
x = 3
Step-by-step explanation:
If Y = 2, lets plug it in.
2 = 4x - 10
reverse operations,
4x = 12
x = 3
D is the answer.
Answer:
d (3, 2).
Step-by-step explanation:
Y=4x-10
Y=2
PLug y = 2 into the first equation:
2 = 4x - 10
12 = 4x
x = 3.
The solution (x, y) = (3, 2).
Solve the following equations
7(3x + 5) - x = 75
Answer:
x = 2
Step-by-step explanation:
7(3x + 5) - x = 75
1. Distributive property
multiply 7 by whatever is in the parenthesis
7*3x + 7*5 - x = 75
21x + 35 - x = 75
2. Combine like terms
21x - x = 20x
20x + 35 = 75
3. Subtract 35 on both sides
20x + 35 - 35 = 75 - 35
20x = 40
4. Divide both sides by 20 since u want to isolate the variable
20x/20 = 40/20
x = 2
And thats ur answer
Hope this helped!
Hi! I need help with some math questions. Not problems though, I’ll show what I mean.
It says, “Why do you think it is important to include negative numbers in our number system?”, and, “What is special about zero (0)?”
Would appreciate it if you helped!
Answer:
Negative numbers are most important especially in the field of physics and chemistry. They help us in real life geometry and in almost everything. The discovery of the number system has changed the human civilization to such a great extent, that, without it, we can't even think of architectures and the nature's law(by calculus).
Dominantly, zero is the most ever used number and is very important to express anything.
Without it, you couldn't have the digital world (simply, no computers, no phones, no machines and no A.I.).
As we all know, Dr. Aryabhatta, the legendary guy, who made the no. '0', holds the credits!
I hope it will be useful.
Answer:
Step-by-step explanation:
i think it is important to add a 0 to know where the numbers start
(2x + 6) + (9x - 5)
???
Answer:
11x + 1
Step-by-step explanation:
(2x + 6) + (9x - 5) =
2x + 6 + 9x - 5 =
2x + 1 + 9x =
11x + 1
Answer:
The answer is 11 x + 1
Step-by-step explanation:
Marisol drove 3 hours from City A to City B. The equation below estimates the distance d, in
miles, Marisol traveled after driving for t hours.
d = 45t
Answer:
Step-by-step explanation:
D*RT
D=45*3
D=135
Marisol drove 135 MI.
The Marisol drove from City A to City B for 3 hours and distance covered is 135 miles .
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
According to the question
Marisol drove for from City A to City B = 3 hours
Equation below estimates the distance d, in miles for t hours.
d = 45t
now , substituting the value
d = 45 * 3
d = 135 miles
Hence, the Marisol drove from City A to City B for 3 hours and distance covered is 135 miles .
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Jesse drank 3/4
liter of water Monday before going jogging. He drank 3/5
liter of water after his jog. How much water did Jesse drink altogether? Write your answer as a mixed number.
Answer:
1 7/20
Step-by-step explanation:
You want to add 3/4+3/5, but they need to have the same denominator. A common factor for 4 and 5 is twenty, so multiply 3/4 by 5/5 and 3/5 by 4/4. This will give you 15/20 + 12/20. You can add this to get 27/20, or 1 7/20 as a mixed number
Anna is buying school supplies. She spends $3 for a pack of 4 fancy pencils and $2 for a pencil case. Then, she buys a notebook for $2. She has a $10 bill. How much change will she receive?
Answer:
3 not including tax, if it needs to include tax i dont know
please help brainlyest to correct
Answer:
[tex]22961.5 cm^{2}[/tex]
Step-by-step explanation:
[tex]V = \pi r^{2} h[/tex]
30/2 = 15 (to find radius, r)
[tex]V = 3.14 * 15^{2} * 325[/tex]
[tex]V = 22961.5 cm^{2}[/tex]
What angle is supplementary to AGF?
Answer: B. Angle FGD.
The least common multiple of two numbers is 24. Which could be the two numbers?
Answer: 6 and 8
Step-by-step explanation:
Answer:
6, 8
Step-by-step explanation: i hope this helps
A high school has 44 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing greater than or equal to 213 pounds
Answer:
Step-by-step explanation:
The missing image is attached below.
From the given information
The number of players is 44.
From the box plot;
The minimum weight = 154 pounds
The first quartile Q₁ = 159 which is 25% of the data below 159 pounds.
The second quartile Q₂ = 213 which is 50% of the data below 213 pounds
The third quartile Q₃ = 253 which is 75% of the data below 253 pounds
The maximum weight = 268 pounds.
Here, the value of 213 is the middle value and which signifies the median.
The 50% of the data are located both on the left side and the right side of the median.
Thus, the percentage of players weighting greater than or equal to 213 pounds is 50%.
