Answer:
Solution is x=4 and y=1.
Step-by-step explanation:
We are given with 4 x-5 y=11
And 8 x - 5 y =27
Let's solve them using elimination method.
Subtract the equations to get rid the 'y' terms. Or, multiply the second equation and add them together.
4 x -5 y =11
-8 x+5 y =-27
----------------------
-4x =-16
Divide both sides by -4.
x =4.
Now, plug in x as 4 into any of the given equations to find the corresponding y.
4(4) -5 y =11
16 -5 y =11
Subtract both sides 16.
-5y =-5
Divide both sides by -5
y=1
Consider the line x-2y=-1 What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line?
Answer:
slope of line that is parallel is 1/2
slope of line that is perpendicular is -2
Step-by-step explanation:
parallel lines have the same slope
perpendicular lines have slopes that are opposite and reciprocal
x - 2y = -1
-2y = -x -1
y = 1/2x + 1/2
the coefficient of the 'x' term represents the slope
Solve the equations 25 - 3x = 40. Write the problem on the sketch pad then solve the problem algebraically. I need the answer and how you work it out :)
Answer:
Step-by-step explanation:
25-3x=40
25-25-3x=40-25
-3x=15
-3x/-3=15/-3
x=-5
how do I solve this
9514 1404 393
Answer:
h ≈ 448.0 m
Step-by-step explanation:
The relevant trig function is the one that relates adjacent side length, opposite side length, and angle:
Tan = Opposite/Adjacent
Solving for the adjacent side length, we get ...
Adjacent = Opposite/Tan
For the two angles given, we want the value of the difference of the adjacent side lengths:
168 m = h/tan(41.2°) -h/tan(52.5°)
Then h is found by dividing by its coefficient:
h = (168 m)/(1/tan(41.2°) -1/tan(52.5°))
h ≈ 448.0 m
Please help! What mistake did I make?
Answer:
Step-by-step explanation:
to make a negative, in addition, you can’t add a negative with a positive or the number would go from -3 + 2 = -1.
In addition to his base salary, Ron earns a commission. Last week he sold $14000 worth of clothing and brought home an extra $840 in commission. What is his rate of commission? If his base salary is $500, how much money did he earn last week?
Answer:
His rate is
[tex].0243[/tex]
The money he earned last week is 340
You can spend no more than $100 on a party you are hosting. The cost per guest is $8. Write and solve an inequality that represents the numbers of guests g you can invite to the party.
Answer:
12 guests
Step-by-step explanation:
Given data
We are told that the cost per guest is $8
let the number of expected quest be x
Hence the inequality is
[tex]100\leq 8x[/tex]
divide both sides by 8
x=100/8
x=12.5
Hence the number of guests should not be more than 12
The two objects are the same height, and the cylinder is just wide enough for the the box to fit inside with all 4 vertical edges of the box touching the inside of the cylinder. if the box of pasta fits 8 cups of rice, estimate how many cups of rice will fit inside the cylinder. Expalin or show your reasoing
Answer:
The answer is below
Step-by-step explanation:
The volume of a box with a length of l, width of w and a height of h is given by the formula:
volume of the box = length * width * height = lwh
The volume of a cylinder with a height of h, and radius r is given by the formula:
volume of the cylinder = π * radius² * height = πr²h
Since the box and the cylinder have the same height and the cylinder is wide enough for the box to be placed inside, this means that the box has a volume greater than that of the cylinder. Hence:
If the box can take 8 cups, the cylinder would be able to take 10 cups.
What is the difference, in hours and minutes, between these times?
a) 12:35 and 15:20
b) 10:15 and 13:05
c) 4:30am and 6:50am
d) 9:55am and 1:15pm
Answer:
a)3hours and 15mins
b)3hours and 10mins
c)2hours and 20mins
d)8hours and 40mins
yeyey! Happy Friday!!!
Help please I'll give brainliest '^'
Answer:
75%
Step-by-step explanation:
Happy Friday!
Answer:
C
Step-by-step explanation:
75% is 3/4 of the circle. Pretend you are cutting a pizza. You cut the pizza into 4 pieces and you take out three of the pieces. This is what that would look like. The shaded area is the pieces you took. The white area is the piece you did not take.
JUST REPOSTING THIS QUESTION UNTIL I GET A CORRECT ANSWER (Cause nobody will help me) XD
Answer:
x = 15
Step-by-step explanation:
Simplifying
3x + (8x + 15) = 180
Reorder the terms:
3x + (15 + 8x) = 180
Remove parenthesis around (15 + 8x)
3x + 15 + 8x = 180
Reorder the terms:
15 + 3x + 8x = 180
Combine like terms: 3x + 8x = 11x
15 + 11x = 180
Solving
15 + 11x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + 11x = 180 + -15
Combine like terms: 15 + -15 = 0
0 + 11x = 180 + -15
11x = 180 + -15
Combine like terms: 180 + -15 = 165
11x = 165
Divide each side by '11'.
x = 15
Simplifying
x = 15
Answer:
x=15 Hope this helps :)
Step-by-step explanation:
A baseball team had 70 players show up for tryouts last year and this year had 85 players show up for tryouts. Find the percent increase in players from last year to this year.
Answer:percent increase in players from last year to this year= 7.14%
Step-by-step explanation:
percent increase = (Increase in number of players /Initial value of players Last year) x 100
value of players for tryouts last year = 70
value of players for tryouts this year = 85
Increase in tryouts = 85-70 =5
percent increase = 5/70 x 100
= 7.14%
A fair number cube has faces numbered from 1 to 6. When the number cube is rolled, the theoretical probability of it landing on a multiple of 3 is one over three.. What is the theoretical probability of the number cube NOT landing on a multiple of 3?
Explanation:
The theoretical probability of landing on a multiple of three is 1/3
So the theoretical probability of not landing on a multiple of three is 1-(1/3) = 3/3-1/3 = (3-1)/3 = 2/3
We can think of 1/3 to mean "1 out of 3 times", while 2/3 means "2 out of 3 times".
Answer:
2/3
Step-by-step explanation:
We can find this in two ways:
1. Finding the numbers that aren't multiples of three
2. Subtracting 1/3 from 3/3
Let's do both ways:
1. These numbers are multiples of 3: 3 and 6
This leaves these numbers: 1, 2, 4, 5
Since there is 4 numbers there we can divide 4/6, or that simplifies down to 2/3. So, the theoretical probability that the number cube does not land on a multiple of 3 is 2/3.
2. Now this is the easier way to do it. Since we know that the probabilities have to add up to 1, we can just subtract 1/3 from 3/3 (because 3/3 equals one and subtracting fractions needs the same denominator)
3/3 - 1/3 = 2/3
This once again shows that the probability of not rolling a multiple of 3 is 2/3.
Hope this helps!!
- Kay :)
Find the slope of the line
Answer:
negitive 4 2 to positive 42 i think
Step-by-step explanation:
Answer:
3/1, or 3
Step-by-step explanation:
Forgive me if this is wrong, the image is very blurry and hard to see
What’s the answer for this one??
Answer:
It is the second one.
Step-by-step explanation:
a and e are equal because they are mirrored. d and b are equal because they are on the same line and at the same point where the parallel lines go through. b and f are also mirrored. That leaves c and e which don't match.
CONSULTA:
1. Que son los ritmos respiratorios?
es el número de veces que respiras por minuto
Joe borrowed 2,000 dollars from the bank at a rate of 7% simple interest per year.How much interest did he pay in 5 years
Answer:
$700
Step-by-step explanation:
First you find what 7% of $2000 is,
(2000/100)7=140
$140 per year interest, over the course of five years that would be $700
140)5
As a salesperson, you are paid $50 per day plus $3 per sale. This week you make $400. Define your variables then, write and solve an equation for the number of sales you made.
Answer:
16.7 sales
Step-by-step explanation:
As a salesperson, you are paid $50 per day plus $3 per sale. This week you make $400. Define your variables then, write and solve an equation for the number of sales you made.
Let the number of sales be represented by x
As a salesperson, you are paid $50 per day plus $3 per sale. This week you make $400.
The number of days in a working week = 5
Hence:
Total Amount made(A) = $400
Hence
$50 × 7 + $3 × x = $400
350 + 3x = 400
3x = 400 - 350
3x = 50
3x = 50
x = 50/3
x = 16.7 sales
Therefore, the number of sales you made = 16.7 sales
Help me with this pls
Answer:
A. 4
Step-by-step explanation:
The y increases by 2 and the x increases by 8. Putting this into rise/run format this is 8/2, or 4/1 (4/1 is 4.)
Triangle ABC is a right triangle.
m∠A=5x°
m∠B=(3x−4)°
m∠C=90°
What is the value of x?
Answer:
LOL i belive its 200 because i did this exact same thing yesterday for homework and got it right and you dont have to think me because math is really fun! so yeah XD
Step-by-step explanation:
Step-by-step explanation:
200
solve for x...................................................................................
Answer:
x = 36°
Step-by-step explanation:
x + 20° + 4x = 200° { exterior angle of a triangle is equal to the sum of two opposite interior angles }
5x = 200° - 20°
5x = 180°
x = 180° / 5
x = 36°
Hope it will help :)
A skier is trying to decide wether or not to buy a season ski pass. A daily pass costs $79. A season ski pass costs $400. The skier would have to rent skies with either pass for $30 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes?
Answer:
4 days
Step-by-step explanation:
79 + 30 = $109
109 x 4 = $436
Could someone answer all 5 questions please
Answer:
3=111
Step-by-step explanation:
PLease help!!!!!!!!!
Answer:
1 + 1 = 6
Step-by-step explanation:
cuz = = 1 = 2= 3 = 4 = 4 =6
Please help! “Cost of dinner at chewy’s: $38.72
Tip: 25%
What is the new cost ?”
Answer:
$48.40
Step-by-step explanation:
Answer: $48.40
Step-by-step explanation:
25%=0.25
38.72*0.25=9.68
38.72+9.68=48.40
find the value of 5m when m = -3
Annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year. What is the annual sales after 7 years?
Answer:
Around $855,355.66
Step-by-step explanation:
In these type of problems, you'd use the following equation
[tex]Initial Value * (percentage)^{x}[/tex]
Since the revenue's increasing by 4% every year, you'd plug 104/100 in the percentage box. X is the ammount of times the percentage is applied, so it would be 7, since we're finding the sales after 7 years. Finally, 650000 goes into the initial value and yeah. After calculating, you'll get around $855,355.66
Solve please I don’t know how to do this.
Answer:
its 63 lol
Step-by-step explanation:
Answer:
63
Step-by-step explanation:
x/3-10=11
x/3=21
crisscross then
x=21×3
c=63
$325 is borrowed from a bank that charges 4% interest compounded annually. How much is owed after 1 year, 3
years, 7 years, and 20 years?
Answer:
338
365.58
427.68
712.12
Step-by-step explanation:
for annually compounding interest
PV(1+i)^n
for one year
325(1.04)
338
for 3 years
325(1.04)^3
365.58
For 7 years
325(1.04)^7
427.68
for 20 years
325(1.04)^20
712.12
What is the sum of 2 + 0.42 + 1.8?
a: 4 ones, 2 tenths, 2 hundredths
b: 4 ones, 2 tens, 2 hundreds
c: 2 ones and 6 tenths
d: 8 ones
Stella is making 25 sundaes with mint, chocolate, and vanilla ice cream. 1 5 of the sundaes are mint ice cream and 1 2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?
Answer:
Vanilla = 10 sundaes
Step-by-step explanation:
Total sundaes = 25
1/5 of the sundaes are mint ice cream
Mint ice cream = 1/5 of 25
= 1/5 * 25
= 25/5
= 5
Sundaes remaining = total sundaes - sundaes for mint ice cream
= 25 - 5
= 20 sundaes
Sundaes remaining = 20 sundaes
1/2 of the remaining sundaes are chocolate
= 1/2 of 20
= 1/2 * 20
= 20/2
= 10
Chocolate ice cream = 10
The rest will be vanilla
Sundaes remaining = 20 - 10
= 10 sundaes
Vanilla = 10 sundaes