Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks. Tori hosts a podcast about computers, and Wendy hosts a podcast about parenting. Both podcasts have a set duration for each episode. Last year, Tori released 40 episodes and Wendy released 16 episodes, for a total of 5,584 minutes of content. This year, Tori released 27 episodes and Wendy released 11 episodes, which lasted a total of 3,795 minutes. How long is each episode? Each episode of Tori's podcast is minutes long, and each episode of Wendy's podcast is minutes long.
Answer:
x = minutes of Tori's podcast = 88 minutes
y = minutes of Wendy's podcast = 129 minutes
Step-by-step explanation:
Let
x = minutes of Tori's podcast
y = minutes of Wendy's podcast
40x + 16y = 5,584 (1)
27x + 11y = 3,795 (2)
Multiply (1) by 11 and (2) by 16
440x + 176y = 61,424 (3)
432x + 176y = 60,720 (4)
Subtract (4) from (3) to eliminate y
440x - 432x = 61,424 - 60,720
8x = 704
x = 704/8
x = 88
Substitute x = 88 into (1)
40x + 16y = 5,584 (1)
40(88) + 16y = 5,584
3,520 + 16y = 5,584
16y = 5,584 - 3,520
16y = 2,064
y = 2,064/16
y = 129
x = minutes of Tori's podcast = 88 minutes
y = minutes of Wendy's podcast = 129 minutes
At a fair 15% less people attended on Monday than the number of people who attended on Sunday. If 425 people attended on Monday, find the number of people who came to the fair on Sunday
Answer: 500
Step-by-step explanation:
let we suppose x people went to the fair on Sunday.
now number of people attend the fair on monday=x-15%of x.
x-15x/100=100x-15x/100
85x/100
A/q
85x/100=425
85x=42500
x=42500/85
500
so, 500 people. attended the fair on sunday
Solve by Elimination:
x + 6y = 28
2x - 3y = -19
Answer:
x=-2
y=5
Step-by-step explanation:
x=28-6y
2x-3y=-19
(substitute the value of x)
2(28-6y)-3y=-19
y=5
x=28-6*5
x=-2
a cat is stuck on the root. if the ladder is 16 feet long and must be placed six feet away from the building. how high can the ladder reach up the building to help save the cat
Step-by-step explanation:
a^2 + b^2 = c^2
height + 6^2 = 16^2
height = 14.83
Help needed for some geometry
Answer:
hope this help you. look it once.
I’m not smart so help me please get it right
Answer:
Surface area = 148cm^2
Volume = 120cm^2
Step-by-step explanation:
You are smart don't say you're not. :)
Answer:
Surface Area is 148 cm^2
Your Volume will be 120 cm ^3
Step-by-step explanation:
Surface Area you get by getting the area of each of the 2 dimensional shapes, the formula to get the surface area for a rectangualr prism is 2(wl+hl+hw), so you would plug in 2((5(6))+((4(6))+(4(5)) which will give you 2((30)+(24)+(20)) which will then give you 2(74) and the final answer will be 148 cm^2
The formula for Surface Area is w(l)(h) so in this case it will be 5(6)(4) which will be 30(4)= 120 cm^3
Hope this helps
mr jones is painting a wall in his office. he has enough paint to cover 104 square feet . the wall he is painting is 12 feet wide and 9 feet long. Does he have enough paint to cover the wall
Answer:
no
Step-by-step explanation:
9x12=108
108 square feet so not enough paint.
needs more paint that covers 4 square feet
During the first two weeks at his new job Damian earned a total of $500 he earned x dollars during the first week during the second week he earned 4 times as much as he did the first week. How much did Damian earn during the first week
Answer:
$100
Step-by-step explanation:
x + 4x = 500
5x = 500
x = 100
If two sides of a triangle measure 4 cm and 6 cm what could be the measure of the third side? A. 9 B. 10 C. 11 D. 12
Answer:
A. 9
Step-by-step explanation:
Triangle Inequality: the lengths of any two sides of a triangle add up to more than the third side.
B. 10 can't be the answer because the 4 cm and 6 cm sides would just meet at a point on the 10 cm sides.
C. 11 and D. 12 can't be answers because the 4 cm and 6 cm sides would not meet (kind of like windshield wipers that are too short).
I need help with this problem due tonight 10 points!!!
Answer:
The value of the slope of the line is 1
Step-by-step explanation:
Here, we want to find the value of the slope of the line that passes through the given points
Mathematically, we have the equation as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (4,-11)
(x2,y2) = (7,-8)
substituting these values in the slope equation, we have;
m = (-8-(-11))/(7-4) = 3/3 = 1
Que números son divisibles entre 5 y 10 a la vez
Answer:
5
Step-by-step explanation:
Need answer please on this question
Answer:
answers are a d and b
Step-by-step explanation:
What is the value of x in the equation below? 3x - 15 = 60
Answer:
3x=60+15
x=75/3
x=25
Thus the answer is 25
Answer:
[tex]3x - 15 = 60 \\ 3x = 60 + 15 \\ 3x = 75 \\ x = \frac{75}{3} \\ x = 25[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
Simplificación de la raíz cuadrada de 50
Answer: 5√2
Step-by-step explanation:√50--->√2*√25
√25--->5
5*√2=5√2
4.2 decreased by the quantity 12 plus a number
Answer and Step-by-step explanation:
This is the same thing as:
4.2 - (12 + x)
The 4.2 is being subtracted by the value of 12 and a number, denoted as x.
#teamtrees #PAW (Plant And Water)
determine the value of x (ill give brainliest)
Answer:
I believe the answer is 7
Answer:
12
Step-by-step explanation:
9 * 12 - 2 = 61
7 * 12 + 12 = 61
expression expression expression expression expression expression expression expression expression expression expression expression expression expression expression
Answer:
expression
Step-by-step explanation:
WHAT IS THE MEDIAN pls help
Answer:
63
Step-by-step explanation:
If you put them from least to greatest order you cross out from both ends until you get to the middle, in that case I got to the middle in between 63 and 63 so you can go in between them so your answer is 63
(15 POINTS AHH) Which of the following square roots is irrational?
Answer:
Triangle
Step-by-step explanation:
The square root of 99 is irrational.
Answer:
the triangle square root of 99
Step-by-step explanation:
Can anyone help me with this math please I will give brainlist
Answer:
4.5 > 4.420
0.67 < 0.8
0.82 = 0.820
62.4 > 6.24
0.13, 0.3, 0.303, 0.32
0.08, 0.8, 0.82, 8.2
24.54, 24.4, 24.304, 24.24
6.5, 6.25, 6.05, 6.007
Step-by-step explanation:
The most useful way to compare fractions is to add extra zeros at the end.
For example, 0.67 ___ 0.80.
0.80 is obviously bigger than 0.67.
In 24.4, 24.54, 24.304, 24.24, you can add extra zeros as well.
24.400, 24.540, 24.304, 24.240 (This makes it much easier to group the numbers, whether from largest to smallest or smallest to larger).
**REMEMBER TO REMOVE THOSE ZEROS AFTER FINDING YOUR FINAL ANSWER**
HELP, I can't figure out the first question
Answer choice for first question
1. linearly
2.quadratically
3.exponentially
Yani buys 4 dozen flyers for $7.25. What is
the cost of 12 dozen?
helppp now plz
Answer:
$21.75
Step-by-step explanation:
Divide $7.25 by 4 then multiply what you get from that by 12
What is the value of x?
to
x = [?]°
The horizontal in a pair of coordinates how far along tje point is ,so i cant tell u the awnser exactly but i can give explanation
The length of a football field is 120 yards from one and one to the other end zone.
Answer:
To solve, you need to use Pythagorean Theorum
a^2+b^2=c^2
100^2+53.33^2 = c^2
10,000+2844.0889=c^2
12844.1=c^2
square root
= 113 1/3 yards
So it is less than 120 yards
Step-by-step explanation:
Here's a primer on how the dimensions play out at every level, from high school football to the NCAA and on up to the NFL. There are two constants, across the level of competition: 120 yards (360 feet) of length and 53 1/3 yards (160 feet) of width.
i think this is what your looking for?!
a) If there were 3 elephants at the zoo, how many hippos would there be?
Answer:
3 as well lol?
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Your question of the day
What makes a good student? Explain? Why?
Answer:
a good student someone that pays attention in class and studies. If they do the work, study and pay attention there should be no issues. most teachers like students like that and the should be able to pass the class.
Determine if the expression 9y^5+ y − 3y^3is a polynomial or not. If it is a
polynomial, state the type and degree of the polynomial.
find the value using identities (302)3
Answer:
108,000,934
1.08934×10^8
Step-by-step explanation:
(302)^3
(a+b)^3
(a+b)^3==a^3+3a^2b+3ab^2+b^3
(300+2)
(300)^3+3(300^2+2)+3(300+2^2)+2^3
27,000,000+81,000,002+8+924
108,000,002+8+924
108,000,934 or 1.08934×10^8
Help me on this please
Answer:
Radius = 3
Since radius is half of diameter diameter is 6 because 3 x 2= 6
Now I multiply that by pi so...
6 x 3.14 = 18.84 So 18.84 is our answer.
CAN SOMEONE HELP PLEASE
Answer:
Point of intersection where the two lines meet is at (3, -2)
Step-by-step explanation: