Answer:
A) X = 12
B) X = 4
Step-by-step explanation:
For both equations, the first step is the same. You must isolate x.
A) 2x/3 = 8
Multiply each side by 3 to get rid of the fraction.
2x = 24
Divide by 2.
x = 12
B) 3x/2 = 6
Multiply each side by 2 to get rid of the fraction.
3x = 12
Divide by 3.
x = 4
Brianna is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $3.75. Brianna spent $18.75 altogether at the carnival and the number of games she played is twice the number of rides she went on. Graphically solve a system of equations in order to determine the number of games Brianna played, x,x, and the number of rides Brianna went on, yy.
Answer:
6 games and 3 rides
Step-by-step explanation:
Let the number of games Brianna played be x,
and the number of rides she went on be y.
Total cost for games= 1.25x
Total cost for rides= 3.75y
Since number of games is twice the number of rides,
x= 2y -----(1)
Total costs= cost of games +cost of rides
[tex]18.75= 1.25x +3.75y[/tex]
Multiply the whole equation by 4 to remove the decimals:
[tex]75= 5x +15y[/tex]
Simplify by dividing the whole equation by 5:
[tex]15 = x + 3y[/tex]
Label the equation:
x +3y= 15 -----(2)
Although we can solve these 2 equations by substitution, since the question requires us to graphically solve, we have to graph 2 linear lines.
I will choose 3 points to plot on the graph for each equation:
x= 2y -----(1)
[tex]\begin{tabular}{|c|c|c|c|}
\cline{1-4}x & 2(1) = 2&2(2) = 4&2(3) = 6\\
\cline{1-4}y & 1 &2&3\\
\cline{1-4}
\end{tabular}[/tex]
x +3y= 15 -----(2)
x= -3y +15
[tex]\begin{tabular}{|c|c|c|c|}
\cline{1-4}x & -3(1)+15= 12& -3(2)+15= 9& -3(3)+15= 6\\
\cline{1-4}y & 1 &2&3\\
\cline{1-4}
\end{tabular}[/tex]
Let's plot these points on a graph paper. Then, join them with a straight line for each straight line graph. Please see the attached picture for the graph.
From (1): y= ½x
From (2): 3y= 15 -x
y= 5 -⅓x
From the graph, the solution of the equation is (6,3). The solution is the point on the graph in which the 2 lines intersect.
x- coordinate: 6
y- coordinate: 3
Thus, Brianna played 6 games and went on 3 rides.
Answer:
6 games=$7.5 3 rides=$11.25
1.25*6=7.5
3.75*3=11.25
7.5+11.25=18.75
Idk about this tbh :/ Plz help :)
Answer:correct
Step-by-step explanation:
I had the same question
A contractor bought 12.6 ft2 of sheet metal. He has used 3.7 ft2 so far and has $160.20 worth of sheet metal remaining. The equation 12.6x−3.7x=160.2 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?
Answer:$18 per square foot
Step-by-step explanation:
12.6x-3.7x=160.2
8.9x=160.2
x=18
$18 per square foot
Bill rides his bike around the block 10 times in 5 min. Find the unit rate.
Enter your answer in the box.
Answer:
2 Blocks per Minute
Step-by-step explanation:
You divide 10 by 5 to get 5 to 1. Then you get 2:1
Answer:
2 pm
Step-by-step explanation:
Two times per minute. <3
Santa Claus has been experiencing some recent back pain and is unable to carry large bags of toys over his shoulders. As a result, he has decided to use FedEx to deliver many of his gifts this year. FedEx charges a flat rate of $2.50 plus $0.85 per pound. If the cost of sending gifts to the Jones's was $28.85, how much did their gifts weigh?
Answer:
31 pounds
Step-by-step explanation:
From the information given, you can write the following formula to calculate the total cost of sending gifts:
Total cost of sending gifts=2.50+0.85x, where x is the weight of the gifts in pounds
Also, you know that the total cost of sending gifts is $28.85 and you can replace this value and solve for x:
28.85=2.50+0.85x
28.85-2.50=0.85x
26.35=0.85x
x=26.35/0.85
x=31
According to this, the answer is that the gifts weighed 31 pounds.
The measure of an angle is 9 more than twice its complement. Find the measure of each angle. Which equation below accurately translates the sentence and could be used to find the measure of each angle? 2x + 9 = 90 - x x + 9 = 2(x - 90) x = 9 + 2(90 - x) 2x = (x - 90) + 9
Answer:
1) Find the measure of each angle.
The measure of each angle = 63° and 27°
2) Which equation below accurately translates the sentence and could be used to find the measure of each angle?
a) 2x + 9 = 90 - x
Step-by-step explanation:
1) Find the measure of each angle.
Two Angles are Complementary when they add up to 90 degrees (a Right Angle)
Mathematically this is represented as:
x° + y° = 90°
From the above question, we are told that:
The measure of an angle is 9 more than twice its complement.
Let the complement of an angle be represented by x
And its measure of an angle be represented by y
Hence,
y = 2× x+ 9
y =(2x + 9)°
x° + y° = 90°
Substitute 2y + 9 for x
x + 2x + 9 = 90
Collect like terms
x + 2x = 90 - 9
3x = 81
Divide both sides by 3
3x/3 = 81/3
x = 27°
We find y(measure of the angle)
x + y = 90
27 + y = 90
y = 90 - 27
y = 63°
Therefore, the measure of each angle is given as:
Measure of an angle = 63°
Complement of an angle = 27°
2) Which equation below accurately translates the sentence and could be used to find the measure of each angle?
a)2x + 9 = 90 - x
b) x + 9 = 2(x - 90)
c) x = 9 + 2(90 - x)
d) 2x = (x - 90) + 9
Option a) is the correct option
TRIGINOMETRY HELP PLS, Q 9-13 with working out
Answer:
sorry for my writing
i tried to do as fast as possible
When adding integers with the same sign you should
Answer:
To add integers having the same sign, keep the same sign and add the absolute value of each number.
Step-by-step explanation:
hope it help
A table of equivalent ratios is shown. One value is missing from the table.
Which value is missing from the table?
a.) 8
b.) 9
c.) 11
d.) 13
Answer:
C) 11
Step-by-step explanation:
65/5=13
91/7=13
182/14=13, therefore
143/13=11
A company manufactures two products. A and B on two machines, I and II. It has been determined that the company will realize a profit of $3/unit of product A and $5/unit of product B. To manufacture a unit of product A requires 11 min on machine I and 7 min on machine II. To manufacture a unit of product B requires 19 min on machine I and 11 min on machine II. There are 5 hr of machine time available on machine 1 and 3 hr of machine time available on machine II in each work shift. How many units of each product should be produced in each shift to maximize the companies profit?
Answer:
product A on machine 1 would make 27 units (rounded down) 81 dollars profit.
product A on machine 2 would make 25 units (rounded down) 75 dollars profit.
product b on machine 1 would make 15 units (rounded down) 75 dollars profit.
product b on machine 2 would make 16 units (rounded down) 80 dollars profit.
Step-by-step explanation:
a1 refers to product a on machine 1
a2 refers to product a on machine 2
same rule applies for product b 1 and 2
6
Directions - Determine the correlation for the situation. Choose Positive/ Negative/ or No correlation for each.
The outside temperature in the summer and the cost of the electric bill (for air conditioning).
A) Positive correlation
B Negative correlation
No Correlation
Probably No correlation because they don't relate to each other
Decide which of the two points lies on the graph of the line
2x+y=10
A.(4,3)
B.(-4,18)
Answer:
A
Step-by-step explanation:
when you substitute 4 in x and 3 in y, your result are 11 no 10
-6x + 3 = 5
How do I solve this??????????????
Answer:
Step-by-step explanation:
you subtarct the 3 on both sides so it would be -6x=2
then you divide on both sides by -6 so it would look like x=-1/3
Answer:
x= -0.33 or -1/3
Step-by-step explanation:
What you have to do is isolate the x variable, you do the opposite to the other side of the equation to isolate the x.
Step 1- Subtract 3 to both sides of the equation.
-6x+3= 5
-3 -3
-6x= 2
Step 2- Divide both sides of the equation by -6.
-6x= 2
-6 -6
x= -0.3333...
So, x equals -0.333 or -1/3.
Hope this helps! :)
What is the equation in point-slope form of the line that passes through (-9, 12) with a slope of 5/6?
A. y-12=6/5(x+9)
B. y-12=5/6(x+9)
C. y-9=5/6(x-12)
D. y-12=6/5(x-9)
Answer:
B (lmk if you want me to explain)
Step-by-step explanation:
the point slope form is
y-y1=m(x-x1)
y-12=5/6(x--9)
y-12=5/6(x+9)
HURRY!! THIS ASSIGNMENT IS DUE IN 5MIN!!! THANK YOU!!!!!!
Nature's Best wants to combine nuts they sell for $3.60 a "
pound with dried fruit they sell for $2.40 a pound to create a trail mix. How much of each snack should they use to make 10 pounds of trail mix that would sell for $3.30 'a pound?
Answer:
brainlest maybe
Step-by-step explanation:
Nature's Best wants to combine nuts they sell for $3.60 a pound with dried fruit they sell for $2.40 a pound to create a trail mix. How much of each snack should they use to make 10 pounds of trail mix that would sell for $3.30 a pound?
--------------
Let amt. of nuts be "x" lbs ; value is 3.60x dollars
-------------
Amt of fruit is "10-x" lbs ; value is 2.4(10-x) = 24-2.4x dollars
----------------------
Amt of mix is 10 lbs ; value is 3.3*10= 33 dollars
------------------------
EQUATION:
value + value = 33 dollars
3.6x + 24-2.4x = 33
1.2x = 9
x = 7.5 lbs (amt of nuts in the mix)
10-x = 2.5 lbs (amt of fruit in the mix)
=================
What does * mean in mathematics?
Answer:
multiply
Step-by-step explanation:
for example:
4 * 5 = 20
other ways of writing multiply:
4 x 5 = 20
4(5) = 20
Answer:
Usually in math it is used to indicate multiplication.
Step-by-step explanation:
Most of the time people will use * instead of x for multiplication on a calculator or computer.
Hope this helps. Plz give brainliest.
Lola purchased two pairs of shoes that each cost $20.00. She then purchased a pair of jeans for $14.50 and a shirt for $8.25. What is the total amount of money she spent, before tax?
Answer: $62.75
Step-by-step explanation:
1.)$20.00 x2= $40.00
2.)$14.50 +$8.25= $22.75
3.)$40.00 +$22.75= $62.75
Hope this helps
5.505, 5.55, 0.555, 5.005 from greatest to least.
Answer:
5.555
Step-by-step explanation:
because this is big then other no
Five years ago, Charlie was twice older than Priya. What are their ages now if in 3 years the sum of their ages will be 76?
I need both ages thx
present age of charlie is 45 years
present age of priya is 25 years
Step-by-step explanation:
Let start from five years ago
Let at that age of Priya was x years
given that
Charlie was twice older than Priya
age of Charlie = 2x
_____________________________________________
present age of charlie = age 5 years ago + 5 years = 2x + 5
present age of priya = age of priya 5 years ago + 5 years x + 5 = x + 5
_________________________________________________
age of charlie 3 years from now = present age of charlie + 3 years
age of charlie 3 years from now =2x + 5 + 3 = 2x + 8
age of priya 3 years from now = present age of priya + 3 years
age of priya 3 years from now =x + 5 + 3 = x + 8
Given that
in 3 years the sum of their ages will be 76
thus
sum of their ages in 3 years from now = x + 8 + 2x + 8 = 76
=> 3x + 16 = 76
=> 3x = 76-16 = 60
=> x = 60/3 = 20
Thus,
present age of charlie = 2x + 5 = 2*20 + 5 = 45 years
present age of priya = x + 5 = 20 + 5 = 25 years
plz help this is due soon
Answer:
put a dot on the following points ( -1, -3) (0, -2) (1, -1) and (2, 0)
Step-by-step explanation:
What is the minimum value of F(x)= 10x^{2} -6x-3
3/10 or -39/10
Answer: 3/10
Step-by-step explanation:
Take the derivative of [tex]10x^2-6x-3[/tex] to get [tex]20x-6[/tex]. Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.
Now do:
[tex]20x-6=0\\20x=6\\x=\frac{6}{20} = \frac{3}{10}[/tex]
There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.
Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value
Which equation best represents the function?
O f() = 4x - 55
O f(x) = 4.1 – 15
O f() = 20x – 55
O f(x) = 20x - 15
Evaluate the expression: (16 ÷ 4)3 – 6 The solution is _____.
Answer:
The answer is 6
Step-by-step explanation:
To solve this expression you use PEMDAS
16÷4=4
4×3=12
12-6=6
Answer:
(16/4)3 - 6 = ?
=> (16 * 3/ 4 * 3) - 6 = ?
=> (48 / 12) - 6 = ?
=> 4 - 6 = ?
=> -2 = ?
Therefore, (16/4)3 - 6 = -2
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
(Trig)A Ferris wheel with a diameter of 90 meters rotates at a rate of 3 minutes per revolution. Riders board the Ferris wheel 3 meters above the ground at the bottom of the wheel. A couple boards the Ferris wheel and the ride starts.
Write a formula for the height of the couple t seconds after the ride begins.
How many seconds after the ride starts will the couple be 70 meters above the ground for the second time?
Answer:
Step-by-step explanation:
Answer:
65x-489
Step-by-step explanation:
Please I need some answers
6. A set of data points has a correlation coefficient r = -0.86. Your friend claims
that because the correlation coefficient is close to -1, it is reasonable to use the
line of best fit to make predictions. Is your friend correct? Explain your reasoning.
Answer:
Yes
Step-by-step explanation:
The line of best fit is used in linear regression models to make predictions, the line of best fit gives the relationship between the dependent and independent variables by obtaining the Coefficient of correlation. The Coefficient of correlation is a value which ranges from - 1 to 1. With values close to either - 1 or 1 depicting a strong negative and positive relationship respectively. Hence, with a correlation Coefficient of - 0.86, which signifies a strong negative relationship, then we can go ahead and make prediction using the model.
HELP ME PLEASE
Which function has the same graph as x+y=11
:(:(:(:(
Answer:
B
Step-by-step explanation:
to find this, we can isolate y.
x+y=11
y=11-x
y=-x+11
you got it right, gj:)
Help i will mark brainliest to who first
Answer:
Chapter 2 The Language of Algebra
Simplify:
1.5(3+2·6)−82
Solve:
2.17=y−13
3.p+14=23
Translate into an algebraic expression.
4.11 less than the product of 7 and x.
Translate into an algebraic equation and solve.
5.Twice the difference of y and 7 gives 84.
6.Find all the factors of 72.
7.Find the prime factorization of 132.
8.Find the least common multiple of 12 and 20.
Chapter 3 Integers
Simplify:
9.|8−9|−|3−8|
10.−2+4(−3+7)
11.27−(−4−7)
12.28÷(−4)−7
Translate into an algebraic expression or equation.
13.The sum of −5 and 13, increased by 11.
14.The product of −11and8.
15.The quotient of 7 and the sum of −4andm.
16.The product of −3 and is −51.
Solve:
17.−6r=24
Chapter 4 Fractions
18.Locate the numbers on a number line.
7
8
,
5
3
,3
1
4
,5.
Step-by-step explanation:
The temperature is changing every day by negative 5 over 32 degrees Fahrenheit. What will be the change in the temperature after 3 days? (1 point) negative 20 over 8 degrees Fahrenheit 5 over 8 degrees Fahrenheit negative 5 over 32 degrees Fahrenheit negative 5 over 8 degrees Fahrenheit
Answer:
negative 5 over 32 degrees Fahrenheit
Step-by-step explanation:
Given the following :
Change in temperature per day = (- 5/32)°F
Waht will be the change in temperature after 3 days :
(-5/32)°F × 3 = ( - 15/96)°F
-15/96 = (-5/32)°F
Hence, the change in temperature will be :
negative 5 over 32 degrees Fahrenheit
To get from his high school to his home, Jamal travels 9 miles east and 9 miles north. When Sheila goes to her home from the same high school, she travels 4 miles east and 5 miles south. What is the distance between Jamal's home and Sheila's home?
Answer:
14 miles north 5 miles east
Step-by-step explanation:
-5miles 9+5 because distance cant be negitive.
Answer:
14.6 miles
Step-by-step explanation:
Jamal will end up about \sqrt{162} from the school and Sheila will be about \sqrt{41}. They will be \sqrt{212} for each other or 14.6 miles.
