Answer: x=25
Step-by-step explanation:
Simplifying
(2x + -10) = (65 + -1x)
Reorder the terms:
(-10 + 2x) = (65 + -1x)
Remove parenthesis around (-10 + 2x)
-10 + 2x = (65 + -1x)
Remove parenthesis around (65 + -1x)
-10 + 2x = 65 + -1x
Solving
-10 + 2x = 65 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation.
-10 + 2x + x = 65 + -1x + x
Combine like terms: 2x + x = 3x
-10 + 3x = 65 + -1x + x
Combine like terms: -1x + x = 0
-10 + 3x = 65 + 0
-10 + 3x = 65
Add '10' to each side of the equation.
-10 + 10 + 3x = 65 + 10
Combine like terms: -10 + 10 = 0
0 + 3x = 65 + 10
3x = 65 + 10
Combine like terms: 65 + 10 = 75
3x = 75
Divide each side by '3'.
x = 25
Simplifying
x = 25
Sorry if its too confusing!
The manufacturers of can of salted mixed nuts state that the ratio of peanuts to other nuts is 6 to 5 . If 414 peanuts are in a can how many other nuts should also be in the can
Answer:
345 other nutsStep-by-step explanation:
Ratio problem, we are going to use the part to all approach
Step one:
given data
the ratio of peanuts to other nuts is 6 to 5
otherwise expressed as 6:5
the total ratio is 6+5= 11
the total number of peanut is 414
let the other nuts be x
6/5=414/x
cross multiply we have
414*5= 6x
2070=6x
divide both sides by 6
x=2070/6
x=345
345 other nuts
On a map, the distance between NY and Washington D.C. is 3.6 inches. The scale is 1 inch: 55 miles. What is the actual distance between the two cities?
What is 15% of 140? A.2,100 B.30 C.21 D.119
Answer:
21
Step-by-step explanation:
u do 140 divided by .15
Graph the equation y= -1/2x
The graph of equation y = - 1/2x is shown in attached image.
We have to given that,
Equation is,
⇒ y = - 1/2x
Since, The equation of line in slope intercept form is,
y = mx + c
Where, m is slope and c in y - intercept.
Here, equation is,
y = - 1/2x
Hence, It is passes through origin.
Therefore, The graph of equation y = - 1/2x is shown in attached image.
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Jackie rode her bike around McAllister Park last week. The trail is 8.54 miles long. If she rode around the park 4 times last week, how many miles did she travel in all?
Answer:
34.16 Miles Traveled
Step-by-step explanation:
If she rode around the 8.54 mile park four times you would multiply four by 8.54 to get your answer. Hope this helps!
What is the equation of the line that passes through the points (4, 5) and (7, 3)
Answer:
y = -2/3x + 23/3
Step-by-step explanation:
Let equation of the line be y = mx + c
m = (3-5)/(7-4) = -2/3 gradient/slope formula
sub (4, 5)
5 = -2/3 (4) + c
c = 23/3
therefore, equation of the line is y = -2/3x + 23/3
Hope it helps! :)
This is a topic called coordinate geometry. If you would like to find out more you can follow learntionary on instagram. I'll be posting some notes on coordinate geometry soon and I'll also post other useful math stuff as well :)
Which ordered pair is a solution of the equation -4x + 7 = 2y - 3
Answer:
(0,5) (1,3) (2,1)
Step-by-step explanation:
Wendell would like to make some chocolate chips cookies. His recipe calls for the use of 1/2 cups of sugar per batch.he has 3 1/4 of sugar in his apartment. Accidentally, drops 1 cup of sugar on the floor. How many whole batches of sugar cookies can he make with the sugar he had leftover
Answer:
He can make 4 batches of sugar cookies.
Step-by-step explanation: 4x1/2=2 and because he lost 1 cup, he only has 2 cups left
3x²+5x-10=0 find the values of a,b and c
Answer:
a = 3
b = 5
c = -10
Step-by-step explanation:
ax^2+bx+c
Evaluate: 5m when m=8
FAST AND HURRY!!
Answer:
40
Step-by-step explanation:
If m = 8, then you would multiply 5 by 8
So the answer is 40
Hope this helps :)
Answer:
5m when m = 8 is 40
Step-by-step explanation:
When you substitute (replace) m with 8, it becomes 5(8).
5(8) means 5 multiplied by 8, which gives you 40.
To check, dividing 40 by 5 is 8. Dividing 40 by 8 is 5.
Hope this helped! :)
Identify the independent variable (domain).
5x+2y= 150
Answer:
The independent variable is x
Step-by-step explanation:
In the equation y = m x + b
m is the rate of change ⇒ constantb is the initial value ⇒ constantx is the domain ⇒ inputy is the range ⇒ outputx is the independent variable because it does not depend on any value
y is the dependent variable because it depends on the value of x
Let us solve the question
∵ 5x + 2y = 150
→ Put it in the form above by subtracting 5x from both sides
∵ 5x - 5x + 2y = 150 - 5x
∴ 2y = 150 - 5x
→ Divide each term by 2 to make the coefficient of y equal 1
∴ y = 75 - 2.5x
∴ y = -2.5x + 75
→ Compare is by the form above
∴ m = -2.5 and b = 75
∴ x is the independent variable (domain)
∴ y is the dependent variable (range)
what are the solutions of the following system?
[tex]\left \{ {{x -2y = -6} \atop {-2x + 4y = -3}} \right.[/tex]
Step-by-step explanation:
x-2y=-6 ...(1)
-2x+4y=-3 ...(2)
Multiply equation (1) by 2
So,
2x-4y=-12 ...(3)
Now add equation (2) and (3).
-2x+4y + 2x-4y = -3+(-12)
0=-15
It means that there is no solution of the given equations.
which set of the numbers is equivalent to 75%? (0.75 3/5), (7.5 75/100), (3/4 0.075), (15/20 0.75)
Answer:
0.75
Step-by-step explanation:
it has to be 0.75 because to make a percentage you move decimal to the left twice and its a %. But i am sorry i do not know the second one, maybe someone else can help :)
Answer:
75.0
Step-by-step explanation:
Is 2.88 rational or irrational
Answer:
rational
Step-by-step explanation:
A rational number can be expressed in the form
[tex]\frac{a}{b}[/tex] ← where a and b are integers
Given
2.88
= 2 [tex]\frac{88}{100}[/tex]
= [tex]\frac{2(100)+88}{100}[/tex]
= [tex]\frac{288}{100}[/tex] ← in rational form
Answer:
2.88 is a rational number.
Step-by-step explanation:
A rational number is a number that can be expressed as a ratio or fraction. Since we can write 2.88 as a fraction, (72/25) we know that it is a rational number.
Other examples of rational numbers include:
-4
8
9/3
8.28
8.999999999...
Brinlyn increased the amount of water she drank per day from 32 oz to 40 oz. By what percentage did Brinlyn increase the amount of water she drank each
day?
Answer:
20%
Step-by-step explanation:
Oliver earns $4 a day for 7 days for doing chores. Each day, his mom takes $2 and put it into a savings account for Oliver. How much money does Oliver get to keep after 7 days?
Answer:
$14
Step-by-step explanation:
Oliver earnings per day = $4
Each day, his mom takes $2 and put it into a savings account for Oliver
His savings per day = $2
Oliver's total savings after 7 days = savings per day × 7 days
= $2 × 7
= $14
Oliver gets to keep a total of $14 after 7 days
Find the area of the trapezoid.
Answer:
b
Step-by-step explanation:
i took that test a while back.
El 10% de los huevos de un supermercado están rotos, haya la probabilidad de que un cliente que compra media docena de huevos encuentre como mucho un huevo roto
Answer:
La probabilidad de encontrar como mucho un huevo roto es 0,8857.
Step-by-step explanation:
Podemos calcular la probabilidad de econtrar un huevo roto usando la ecuación de distribución binomial:
[tex] P (x) = \left(\begin{array}{c}n&x\end{array}\right)p^{x}(1 - p)^{n-x} [/tex]
En donde:
p: es la probablidad de encontrar huevos rotos = 10% = 0,1
x: es el número de éxitos
n: es el número de ensayos = 6 (media docena de huevos)
Ahora, como nos piden la probabilidad de enontrar como mucho un huevo roto, esto quiere decir que debemos encontar la suma de la probablidad de encontar un huevo roto con la probabilidad de encontrar ninguno roto:
[tex] P = P(0) + P(1) [/tex]
[tex] P = \left(\begin{array}{c}6&0\end{array}\right)0,1^{0}(1 - 0,1)^{6-0} + \left(\begin{array}{c}6&1\end{array}\right)0,1^{1}(1 - 0,1)^{6-1} = 0,5314 + 0,3543 = 0,8857 [/tex]
Entonces, la probabilidad de encontrar como mucho un huevo roto es 0,8857.
Espero que te sea de utilidad!
Evaluate each value expression for the given value of the variable : x+x+5 when x=7
QUICK PLSSSSSS
Answer:
19
Step-by-step explanation:
x = 7, so we have:
7 + 7 = 14
14 + 5 = 19
Answer:
19
Step-by-step explanation:
you replace the x with a seven. so it will look like
7+7+5= 19
2x-3y=4 x+3y=29
A. ( - 11, 3)
B. (11, - 3)
C. (3, 11)
D. (11, 3)
Answer:
Step-by-step explanation:
2x-3y=4 x+3y=29
Hmmm I got (11,6) and I did it two different ways. Are these the only answers?
Answer:
(11, 6)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
2x - 3y = 4
x + 3y = 29
Step 2: Rewrite systems
2x - 3y = 4
x = 29 - 3y
Step 3: Solve for y
Substitute in x: 2(29 - 3y) - 3y = 4Distribute 2: 58 - 6y - 3y = 4Combine like terms: 58 - 9y = 4Isolate y term: -9y = -54Isolate y: y = 6Step 4: Solve for x
Define: x + 3y = 29Substitute in y: x + 3(6) = 29Multiply: x + 18 = 29Isolate x: x = 11Step 5: Check
Graph the systems of equations to verify the solution set.
The selling price of an item is $480. It is marked down by 10%, but this sale price is still marked up from the cost of $. Find the markup from cost to sale price.
Answer:
Markup = [(Revenue – COGS) / COGS] X 100.
Markup = (Gross Profit / COGS) X 100.
Markup = [(Revenue – COGS) / COGS] X 100.
Markup = [($400 – $250) / $250] X 100.
Selling Price = [(Markup X COGS) + COGS] X 100.
Selling Price = (Markup X COGS) + COGS.
Selling Price = (0.50 X $100) + $100.
Step-by-step explanation:
um i think this is the answer
Answer: can someone help with my question really need help its a test.
Step-by-step explanation:
9999999
A phone company charges a base fee of $25 per month plus an additional charge per minute. The monthly phone cost can be represented by this equation: C=25+ a·m/4, where a is the additional charge per minute, and m is the number of minutes used. How can we re-write this equation to solve for the additional charge per minute?
PLZ HURRY
Answer:
C=25+(a*m)
just simplyfy what it was doing
Kathryn owns a video store. She rents games for 4 and moves for 4 She must rent at least 84 to make a profit She does not have anymore than 20 games Write and solve the system
Answer:
Katherine will rent at least 64 movies and 20 games to make a profit
Step-by-step explanation:
The given parameters are;
The amount for which she rents games = 4
The amount for which she rents movies = 4
The number of games and movies she most rent to make profit = 84
The number of games she ≤ 20
Let x represent the number of games, let y represents the number movies, we have;
x + y ≥ 84
x ≤ 20
64 ≤ y ≤ 84
The graph of the inequality created with Microsoft Excel showing the feasible region is included
There were 12 girls 9n the basketball team. 3 of them scored over 10 points in the game. What fraction represents the number of the girls on the team that scored over 10 points on the game?
Answer:
1/4
Step-by-step explanation:
i know
find y when y = 3x^2 -2x+5 and x = -1
Answer:
the answer is y=10
5 and 2/3 divided by 4?
Answer:
1.41 it’s a infinity answer
Step-by-step explanation:
help! i'm not sure how do this so if someone can explain that would be nice :)
Answer:
In slope intercept form it would be y=-1/2x+3
Step-by-step explanation:
THIS IS AN EXAMPLE ON HOW TO GET SLOPE INTERCEPT FORM. start with the point slope form y-y1=m(x-x1) and solve for y. y-8=2(x-6) so y-8=2x-12, add 8 to end up with y=2x-4. 2) start with slope intercept form and solve for b, then substitute that back in: y=mx + b, so 8=2(6)+b, 8=12+b, subtract 12 to get b=-4, therefore equation is y=2x-4.
Secant and Tangent Angles in circles.
Solve for x.
Answer:
x = 1
Step-by-step explanation:
5x + 17 = 1/2[(73x + 5) - (23x - 5)]
5x + 17 = 1/2[37x + 5 - 23x + 5]
5x + 17 = 1/2[14x + 10]
5x + 17 = 1/2 * 2(7x + 5)
5x + 17 = 7x + 5
5x - 17x = 5 - 17
-12x = - 12
x = - 12/-12
x = 1
A circle is a curve sketched out by a point moving in a plane. The value of x that will make the Secant and Tangent Angles true for the circle is 17/25.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
For the given circle, as per the Secant and Tangent Angles theorem, the measure of the angle formed by two tangents can be written as,
∠WVU = (arc WU + arc WU)/2
5x + 17 = [(37x + 5) + (23x - 5)]/2
2(5x + 17) = (37x + 5) + (23x - 5)
10x + 34 = 37x + 5 + 23x - 5
10x - 37x - 23x = 5 - 5 - 34
-50x = -34
x = 34/50
x = 17/25
Hence, the value of x is 17/25.
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Express the recurring decimal 0.56 (Just the 6 is recurring) in its simplest form.
Answer:
17/30 17 over 30
Step-by-step explanation:
Answer:
17/30
Step-by-step explanation:
All 3 marks are awarded if for maths watch
If done like the following;
x = 17/30
PLEASE HURRY!! Will give brainly
Find the slope and y intercept for y = 3x - 2.