From what I remember it should be 30
Standard form: −3X + 90 = 0
fifteen added to the product of a number and 6 is 9. find the number
Remark
Start with the product
Let the unknown number = x
The unknown number x is multiplied by 6
At this point you get 6x
====================================
Now you add 15
6x + 15 = 9
Solve
6x + 15 = 9 Subtract 15 from both sides.
6x = 9 - 15 Collect the terms on the right.
6x = - 6 Divide by 6
x = - 6/ 6
x = - 1
how much is 20 plus 10
20 plus 10 equals 30.
hector is five years less than double mary's age. Mary is 12 years old. how many years old is Hector?
Answer:
Mary's Age = 12
Hector's Age = 2 x 12 - 5
= 24 - 5 = 19 years old
One bar of candy A and two bars of candy B have 774 calories. Two bars of candy A and one bar of candy B contains 786 calories. Find the caloric contents of each candy bar
-4(9 + 6) = plz help me
Greetings, the answer is 11.
Steps:
9+6=15
-4·15
-60
The correct answer is -60
PLEASE HELP!!! This is a trigonometry question. A conveyor is used to lift to a shredder. The most efficient operating angle of elevation for the conveyor is 36.2 degrees. The paper is to be elevated 17.0 m. What length of conveyor is needed?
You can use the sin function to solve this.
Think of a triangle with the conveyor being the longest side (hypotenuse). The height (the vertical side) is H=17m. The angle of elevation is a=36.2. We are looking for length of the hypotenuse, L.
The sin is the ratio of height to hypotenuse: sin(36.2) = H/L = 17/L
Now solve for L:
L = 17/sin(36.2) = 17m/0.59 = 28.78m
The conveyor needs to be approx. 28.8m long to get close to the max. efficient angle.
four times a number is 64 find the number
16 just divide 64 by 4
Un arquitecto esta preparando una oferta para construir un edificio de condominios. Los cimientos y el estacionamiento costaran $25 millones. El primer piso costara $12 millones y cada piso sucesivamente al segundo $500, 000 mas que el piso procediente ¿Cuanto costara el noveno piso?
Respuesta: El noveno piso costara $16 millones
Solucion:
El primer piso costara $12 millones y cada piso sucesivamente al segundo $500,000 mas que el piso precedente.
Esta es una progresion aritmetica, porque cada valor se obtiene sumandole al valor anterior un valor constante que es la razon "r". En este caso la razon es:
r=$500,000
Que en millones de dolares es:
r=$0.5 millones
Tenemos el primer valor: El primer piso costara $12 millones:
a1=$12 millones
Y necesitamos el costo del noveno piso, o sea el noveno valor: a9=?
Tenemos esta formula para calcular el valor de un termino cualquiera "an" de una progresion aritmetica, conociento el primer termino de la misma:
an=a1+(n-1)r
En este caso n=9, entonces sustituyendo en la formula anterior:
a9=a1+(9-1)r
a9=a1+8r
Reemplazando los valores dados en la formula de arriba:
a9=$12 millones+8($0.5 millones)
a9=$12 millones+$4 millones
a9=$16 millones
WILL GIVE 15 POINTS
What is the value of Fraction 1 over 2x3 + 3.4y when x = 2 and y = 5?
Sean mows lawns in the summer. He charges the same fixed amount for each lawn that he mows. As of today , he has earned $36 after mowing 3 lawns. a. Create an input -‐ output table using the headings “Number of lawns mowed” for the input and “Amount of money in dollars” for the output. Fill in the appropriate values for Sean’s current situation. Then fill in several other rows of information that fit the situation. For example, what if Sean has mowed 8 lawns? 12 lawns?
Step-by-step explanation:
Well we won't give you the table, but it's pretty easy. It's a fixed rate so you know he charges the same thing every time. 36 / 3 = 12
So if he mows the lawn and gets paid $12 each time, you can multiply everthing in your x input to get your y output. So for x = 8 your y output would be y = 96 because 12 * 8 = 96
how to multiply decimals
Multiply normally, ignoring the decimal points.
Then put the decimal point in the answer - it will have as many decimal places as the two original numbers combined.
So, 16.04 (5.25)=84.21
Answer:
Step one- You first get the decimals -example-( 3.2 x 2.4 )
Step two- You then put the biggest decimal at the top and smallest at the bottom -example-( 3.2
x 2.4 )
You can take away the decimal points for now if it helps.
Step three- You multiply the first number, in this case, the first number is 4. Then multiply the 4 by the top numbers ( Only multiply the 4 an the 2 then multiply the 4 and the 3.)
Then you do the same to the 2 at the bottom.
After you finish multiplying that, then you add the numbers leftover.
Finally you count how many numbers are behind the decimal. In this case, there are 2 numbers behind the decimal, so you would put the decimal 2 numbers behind.
You will begin to see how it works.
EXAMPLE OF ME DOING THE PROBLEM.
Write an equation of the line passing through point P(−8, 0) that is perpendicular to the line 3x−5y = 6.
3x - 5y = 6
-3x -3x
-5y = -3x + 6
[tex]\frac{-5y}{-5} = \frac{-3x}{-5} + \frac{6}{-5}[/tex]
[tex]y = \frac{3}{5}x - \frac{6}{5}[/tex] ⇒ m = [tex]\frac{3}{5}[/tex]
perpendicular slope (m⊥) = [tex]-\frac{5}{3}[/tex]
Point-Slope equation:
m = [tex]-\frac{5}{3}[/tex] (x₁ , y₁)= (-8, 0)
y - y₁ = m(x - x₁)
y - 0 = [tex]-\frac{5}{3}[/tex](x - (-8))
y = [tex]-\frac{5}{3}[/tex](x + 8)
y = [tex]-\frac{5}{3}x - \frac{40}{3}[/tex]
On a farm, the farmer decides to give pizza to her 18 ducks as a special treat. She orders 3 pizzas, and the total price is $26.28. What is the unit price of each pizza? (4 points) $4.38 $8.76 $23.28 $78.84
It is simple. There are 3 pizzas and 26.28 total. We are suppose to find for each pizza.
26.28/3=8.76
B. $8.76 per pizza
Answer
B. $8.76
I got it right and also if you multiply 8.76 by 3 you get 26.28 and the same goes for 26.28 divided by 3 which equals 8.76.
when a number is divided by -7 and the quotient is increased by 12, the result is 3. What is the number?
The number is 63 which is divided by -7 and the quotient is increased by 12, the result is 3.
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division, thus, can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.
We have been given that when a number is divided by -7 and the quotient is increased by 12 and the result is 3.
Let the number be x;
x ÷ -7
By hit and trial method, if we consider a number which is a multiplier of 7 and 3.
then it would be 63, now apply this number to the given condition.
63÷ -7 = -9
Also, the quotient is increased by 12, the result is 3.
-9 + 12 = 3
Hence, the number is 63.
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What value of q makes the equation true 25/q = 5/8
A 30
B 35
C 40
D 45
We can figure this out by applying proportionality.
25/5 = 5.
We know the multiplier is 5 between the fraction on the right and the fraction on the left, so we need only to multiply 8 by 5.
8 * 5 = 40.
Your answer is C.
79 POINTS NOT A HARD QUESTION
I NEED HELP ASAP
answer: [tex]x = \frac{5}{8}[/tex]
work:
[tex]\frac{4}{5} (2x + 5) - 4 = 1[/tex] | distribute [tex]\frac{4}{5}[/tex] into the parentheses
[tex]1\frac{3}{5}x + 4 - 4 = 1[/tex] | cancel out the + 4 and -4 because they equal to 0
[tex]1\frac{3}{5}x = 1[/tex] | divide by [tex]\frac{3}{5}[/tex]
[tex]x = \frac{5}{8}[/tex] | final answer
hope this helps! correct me if anything is wrong ❤ from peachimin
Use a graphing calculator to solve the system of linear equations. 2.1x+4.2y=14.7 −5.7x−1.9y=−11.4
Solving a system of linear equations involves finding the point where the two equations intersect when plotted on a graph. This can be done using a graphing calculator by first entering the equations into the calculator, then finding the point of intersection, which represents the solution.
Explanation:To start solving the given system of linear equations: 2.1x+4.2y=14.7 and −5.7x−1.9y=−11.4, you first need to enter them into your graphing calculator. The intersection point of the two lines represented by these two equations will be your solution. If you don't see a clear intersection point, use the Intersection tool in your graphing calculator, which will provide the respective x and y coordinates of the intersection. This represents the solution to your set of equations.
For instance, if you have a calculator where you can plot both equations on the same graph, find the intersection point, the result is the solution of the system. If the graphing calculator finds an intersection at (x,y), that means x is the solution for the variable x and y is the solution for the variable y. This process is analogous to figuring out where the two lines would cross if you graphed them on a sheet of paper.
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To solve a system of linear equations using a graphing calculator, you first need to rewrite the equations in slope-intercept form: y = mx + b. Then input these equations into the graphing calculator. The intersection of the two graphs is the solution.
Explanation:To solve the given system of linear equations—[tex]2.1x+4.2y=14.7[/tex]and [tex]-5.7x-1.9y=-11.4[/tex]—using a graphing calculator, you first have to rewrite the equations in slope-intercept form (y = mx + b), where 'm' represents the slope and 'b' represents the y-intercept.
To do this, isolate 'y' in both equations. For the first equation, you would do the following:
Subtract 2.1x from both sides. Result: [tex]4.2y = -2.1x + 14.7[/tex]Now, divide every term by 4.2. Result: y = -0.5x + 3.5. This is the form for line 1.
Repeat the same process with the other equation and you will have two equations with 'y' isolated. Input these two equations into your graphing calculator. Where the graphs intersect represents the solution to the system of equations, that is, the values of x and y that satisfy both equations.
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you and your friends are planning on going to the prom to rent a limi will cost you $200 and an additional $25 for refreshments for each passenger you've already confirmed that you and your best friend will be going however your other three friends haven't gotten back to you yet each friend (including yourself) will bring along their prom date so the possible number of guests is 4-10 (in groups of 2) you need to make a quick budget yo split the potential costs so you utilize some of your mathematics know how
1 write a function for the cost where c is the number of passengers
Cost=
2 identify the domain of this function
3 make a table of values for this domain .write the results as orders pairs in the form (x,y)
The cost function for renting a limo for the prom is Cost(c) = 200 + 25c, where c is the number of passengers. The domain is {4, 6, 8, 10}, representing the possible number of passengers (4 to 10). A table of values for this domain shows the total costs at 300, 350, 400, and 450 respectively for groups of 4, 6, 8, and 10 passengers.
To calculate the cost of renting a limo for the prom including the cost of refreshments based on the number of passengers, we can define a function Cost(c) where c represents the number of passengers. The function can be written as:
Cost(c) = 200 + 25c
The domain of this function is the set of all possible numbers of passengers, which ranges from 4 to 10 (counting in groups of two, since each friend brings a date). Therefore, the domain is {4, 6, 8, 10}.
Next, we'll create a table of values with this domain to calculate the costs associated with each potential number of passengers:
(4, 300)
(6, 350)
(8, 400)
(10, 450)
Each ordered pair represents (number of passengers, total cost).
List the first 10 prime numbers
the 1st 10 prime numbers are ..wait let me look at my notes from 8th grade..oh found them here they are
2,3,5,7,11,13,17,19,23 and 29
hoped this helped:)
How can percent help you understand situations involving money?
If the problem did not give you the percentile it would be confusing. You would not know if they wanted money or just a number!!! So it is pretty important.
Four 5th graders are taking turns visiting a 2nd grade classroom to read aloud from a chapter book . The book has 38 pages. If they each read the same number of pages , how many pages will each one read?
Answer:
9.5
Step-by-step explanation:
Solve for y.
4y + 13 = 37
Question 1 options:
A.)y=24
B.)y=6
C.)=1
D.)y=25
The answer is y = 6 which is option B.
Explanation:Solution for y:
4y + 13 = 37
= 4y = 37 - 13
= 4y = 24
= y = 24/4
= y = 6
Which equation is graphed here?
A.) 3y - x = 10
B.) x + 3y = 10
C.) 3x - y = 10
D.) 3x + y = 10
E.) -3x - y = 10
A) 3y - x = 10 is the correct answer! (I just graphed it on Desmos.com)
Step-by-step explanation: usatestprep approved
For some reason I'm just lost
Your answer would be: A) 0
Letters' B, C, and D are all greater than or equal -3 when they substitute "X".
Hope this helps you :)
(x-2) (x+9)= 4x solve and check solution
Answer:
x = -6 and x=3
Step-by-step explanation:
We have been given the equation to solve
[tex](x-2)(x+9)=4x[/tex]
Let us simplify the left hand side of the equation using FOIL (first outer in last).
[tex]x^2+9x-2x-18=4x\\\\x^2+7x-18=4x\\\\x^2+3x-18=0[/tex]
Now, let us find the factors using AC method.
Middle term 3x can be written as 6x - 3x
[tex]x^2+3x-18=0\\\\x^2+6x-3x-18=0\\\\x(x+6)-3(x+6)=0\\\\(x+6)(x-3)=0\\\\x=-6,3[/tex]
Now, let us check the solution by plugging values in the original equation
For x= -6
[tex](-6-2)(-6+9)=4(-6)\\\\(-8)(3)=-24\\\\-24=-24\Rightarrow\text{ True}[/tex]
Thus, x=-6 is a solution.
For x= 3
[tex](3-2)(3+9)=4(3)\\\\(1)(12)=12\\\\12=12\Rightarrow\text{ True}[/tex]
Thus, x=3 is a solution.
Therefore, the solutions are x = -6 and x=3
Which is an equation of the line with a slope of 1/4 and a y-intercept of -2
The equation of a line formula is y=mx+b.
y = 1/4x - 2
m= 1/4
b= -2
Answer"
y=4x+-2
Step-by-step explanation:
Find the y-intercept and x-intercept of the following linear equation.
6x+3y=−18
y-intercept is -6 (0,-6) and the x-intercept is -3 (-3,0)
Convert 3 over 8 to a decimal and tell whether it terminates or repeats.
A- 3.8, a number that terminates
B- 3.8 with a repeating bar over 8., a number that repeats
C- 0.375, a number that terminates
D- 0.375 with a repeating bar over 375., a number that repeats
the answer is c) 0.375, a number that terminates.
Answer:
D- 0.375 with a repeating bar over 375., a number that repeats
Step-by-step explanation:
Convert 3 over 8 to a decimal and tell whether it terminates or repeats.
A- 3.8, a number that terminates
B- 3.8 with a repeating bar over 8., a number that repeats
C- 0.375, a number that terminates
D- 0.375 with a repeating bar over 375., a number that repeats
1. a scuba diver is 3.8 meters below the surface of the water. he is descending at a rate of 0.5 meters per minute. write an algebraic expression to describe the depth of the scuba diver after any number of minutes.
2. describe what the variable represents in this situation
Solution
1. The algebraic expression = -0.5n - 3.8, where n is the number of minutes.
2. Here the variable "n" represents the number of minutes.
Thank you.
For this case we have the following data:
3.8 is the distance below the surface of the water 0.5 is the rate of descent, given in meters per minuteIn this way, the depth of the diver for a certain number of minutes is given by:
[tex]3.8 + 0.5x[/tex], where x represents the number of minutes
Answer:
Question 1: [tex]3.8 + 0.5x\\[/tex]
Question 2: x represents the number of minutes
A recipe calls for 0.75 cup of sugar to make 20 cookies, how many cups of sugar will make 50 cookies?