Answer:
[tex]5x+6y=22.50\\x+9y=24.75[/tex]
Step-by-step explanation:
Cost of 5 drinks and 6 snacks = $22.50
Cost of 1 drink and 9 snacks = $24.75
Each drink costs the same and each snack costs the same.
Let cost of each drink = $[tex]x[/tex]
Let cost of each snack = $[tex]y[/tex]
As per the question, writing the system of equations:
[tex]5x+6y=22.50 ...... (1)\\x+9y=24.75 ...... (2)[/tex]
Let us use elimination method, to find the cost of each drink and cost of each snack.
Multiplying equation (2) by 5 and then subtracting equation (1) from it:
[tex]45y - 6y = 123.75 - 22.5 \\\Rightarrow 39y = 101.25\\\Rightarrow y \approx \$2.60[/tex]
Using equation (1):
[tex]5x+2.6 \times 6 = 22.5\\\Rightarrow 5x = 22.5 - 15.6\\\Rightarrow 5x = 6.9\\\Rightarrow x = \$1.38[/tex]
Cost of each drink = $1.38
Cost of each snack = $2.60
Candice wrote the four equations below. She examined them, without solving them, to determine which equation has an infinite number of solutions.
Negative 5 x + 1 = negative 5 x + 1. Negative 2 x + 1 = negative 2 x + 2. 3 x + 5 = 3 x minus 5. 4 x minus 2 = x + 1.
Which of Candice’s equations has an infinite number of solutions?
Negative 5 x + 1 = negative 5 x + 1
Negative 2 x + 1 = negative 2 x + 2
3 x + 5 = 3 x minus 5
4 x minus 2 = x + 1
9514 1404 393
Answer:
Negative 5 x + 1 = negative 5 x + 1
Step-by-step explanation:
The equation that has the left side identical to the right side will be true for all values of x. It will have an infinite number of solutions.
Answer:
A
Step-by-step explanation:
I would love some help! Thank you!!
Based on the measurements shown on triangle ABC, AB must be?
Answer: B. 7 and 10 ft
Step-by-step explanation:
The first thing to do is to look at the triangle’s angles. One of them is missing right? So you need to find that missing angle. All the angles in a triangle add up to 180 degrees. Therefore you need to add 68 and 47. Your total must be subtracted by 180.
Your problem will look like this
68+47=115
180-115=65
Your missing angle is 65The angle correspond to the sides. You need to look at the opposite of the angle to figure out the number of the side.
For example Angle A opposite = 7
Angle B opposite is 10
notice that Angle B degree is 68 which is the largest degree. And Angle A degree is 47 which is the smallest degree.
The largest degree will always be equal to the largest side
The smallest degree will equal to the smallest side
check whether x-1/2 is a factor of 8x3-4x2+10x-5
Answer:
x-1/2 is in fact a factor of 8x3-4x2+10x-5 so you are correct
Step-by-step explanation:
The equation can be simplified into (2x-1)(4x2+5) and 1/2 is one of the factors
solve for x. y = 2x^2 + 7x + 3. please show work!!
Let y = 0
0 = 2x^2 + 7x + 3
Using the quadratic formula, we get x = -3 and x = -1/2.
Answer:
Answer and Work is in photo
Step-by-step explanation:
A racquet tennis is on sale for 25% off. Find the original price if the sale price is $30.
Answer: 7.5
Step-by-step explanation:
Because it would be 25/100 times 30 because 25% and then it would be simplified inti 1/4 times 30 then it would be 7.5.
Kl =4x+3 jk =4x+2 and jl =45 find kl
sorry if wrong (answer 23)
Solve using substitution.
y = 10x + 8
y = 5x + 3
Answer:
x = -1
Step-by-step explanation:
10x + 8 = 5x + 3
5x = 3 - 8
x = -1
A gallon of gas costs $2.93 per gallon. Marcie's car holds 10 gallons. If her tank is empty, how many will it cost to fill it?
can someone solve -192= -6 (6x - 4) step by step?
Answer:
x= 4 2/3 OR 14/3 OR 4.6... –– 4 2/3 and 4.6... are the simplest form.
Step-by-step explanation:
Your original equation is -192 = -6 (6x - 4):
1. -192 = -6 (6x - 4)
Use distributive property and multiply: -6 x 6x = -36x and -6 x -4 = 24:
2. -192 = -36x + 24
We now move the +24 onto the other side of the equation, -192. Add 24 onto -192 and since we're moving the 24 on the left side of the equation, 24 will removed, so -24 on the right side of the equation:
3. -192 + 24 = -36x + 24 - 24
Divide both sides of the equations by -36 to get "x" by itself:
4. -168 / -36 = -36x / -36
Simplify the fraction of 24/36 by 12:
5. 4 24/36 = 4 2/3 or 14/3 or 4.6... = x
4 2/3, 14/3, 4.6... = x
wer...
Correctly multiply (3x + 7) (7x + 5)
Then find the sum of the coefficients of your solution.
Answer:
The sum of the coefficients is 85.
Step-by-step explanation:
(3x + 7)(7x + 5)
3x * 7x is 21x^2
3x*5 is 15x
7 * 7x is 49x
7 * 5 is 35
21x^2 + 15x + 49x + 35
So the answer is 21x^2 + 64x + 35
Add the coefficients: 21 + 64 = 85
Suri saved $50 of her paycheck the first week she worked and $25 of her paycheck each week after the first week.
How many weeks did it take Suri to save a total of $1,000?
Answer: 40 weeks
Step-by-step explanation:
1000/x=25
1000 divided by 25=40
x=40 weeks
- Please help this is a Rational Inequality problem
1. A ball is thrown straight up from the top of a building that is 400 ft high with an initial velocity of 64 ft/s. The height of the object can be modeled by the equation s(t) = -16t^2 + 64t + 400. (solve step by step pls)
2. In two or more complete sentences explain how to determine the time(s) the ball is higher than the building in interval notation.
The interval for the given situation is (0, 4).
Given that, height = 400 ft, initial velocity of 64 ft/s and the equation s(t) = -16t² + 64t + 400.
What is an initial velocity?Initial velocity is the velocity at time interval t = 0 and it is represented by u. It is the velocity at which the motion starts. They are four initial velocity formulas: (1) If time, acceleration and final velocity are provided, the initial velocity is articulated as. u = v – at.
To find the interval in which the ball is higher than the building, solve the inequality h(t) > 400. The inequality is easily solved by subtracting 400 so the comparison is to zero, factoring the expression involving t, and identifying the time interval in which the signs of the factors are the same.
-16t² +64t +400 > 400
⇒ -16t² +64t > 0
⇒ -16t (t -4) > 0
⇒ t=0 and t-4=0
Both factors will have negative signs on the interval (0, 4).
Therefore, the interval for the given situation is (0, 4).
To learn more about an initial velocity visit:
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Which numbers are irrational? Select all that apply.
Answer:
i dont get it
Step-by-step explanation:
URGENT!!!!
You have 100 cups of ice-cream. You charge $2 per cup and it costs you $23.45 to make the ice-cream. How much do you profit?
What does this mean?? Urgent!
7th grade math help me please :))
Keegan and Annie are working on an experiment in the science lab. Their mixture contains ingredients that weigh 5.22 grams, 5.7 grams, and 7.43 grams. Keegan calculates the combined weight to be 18.35 grams; Annie calculates it to be 13.22 grams.
Who is correct, and why?
Answer:
C
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!!
The measure of ∠BCD is 145°. The measure of ∠ABC is 65°.
What is measure of ∠BAC?
115°
35°
80°
145°
Answer:
m∠BAC = 80°Step-by-step explanation:
m∠BCD = 145° ⇒ m∠BCA = 180° - 145° = 35°
From ΔABC:
m∠ABC + m∠BCA + m∠BAC = 180°
65° + 35° + m∠BAC = 180°
m∠BAC = 180° - 100°
m∠BAC = 80°
The Beaufort wind scale was devised to measure wind speed and can be modeled by
the function: B= 1.69 square root 8+4.45 3.49 where "s" is the speed of the wind in
miles per hour. Find the wind speed that corresponds to the Beaufort number B=11,
indicating a major storm...severe damage anticipated (round answer to nearest mile
per hour). Must show all work!
Answer:
The Square Root Calculator is used to find the square root of the number you enter. Square Root. In mathematics, a square root of a number x is a number r such that r 2 = x. For example: 1. The square root of 25 is 5 because 5 2 = 25. 3. The square root of 2 is 1.41421356237 approximately. 3. The square root of pi (π) is 1.77245385102 ...
Step-by-step explanation:
If there is a base of 9 and a area of 12 how do you explain how to find the height.
Answer:
height = 8/3
Step-by-step explanation
I'm assuming that this is a question to a triangle. So since an area of a triangle is 12 you solve by the formula 1/2(base)(height). You would solve for height so your equation would look smth like this: 12 = 1/2(base)(height). So you would end up with 24/8 which would simplify to 8/3.
Dennis is joining an online video game service. He will pay $25.50 to purchase each game plus a one-time foe of $4500 to join
Which equation can be used to find y, the total cost to buy x games?
(A) y = 25 5x + 45
(B) y - 25.5 45
(C) y 45x + 255
(D) y=452 25.5
Answer:
I am pretty certian it is A
Step-by-step explanation:
You add the x to 25.50 because it is unknown how many games he will buy and add the one time pay of 4,500 to enter the service/company
So it is y= 25.50x + 45
Answer: The answer is A
I hope I helped u!
I WILL MARK YOU BRAINLIEST!
8. An architect built a scale model of a sports stadium using a scale in which 2 inches represents 30 feet. The height of
the sports stadium is 180 feet.
What is the height of the scale model in inches?
A. 3 in.
B. 105 in.
C. 12 in.
D. 60 in.
Answer:
the answer is 12 inches
every inche equals 15 feet from 30/2 then divide it by the total 180/15 which equals 12
Answer:
C. 12 inches
Step-by-step explanation:
The height of the scale model in inches is 12 .
-
14. The dimensions of a box are (x + 1), (4x − 2), and (3x + 4). What is the volume of the box?
O 12x³ +22x² - 2x -8
O 8x +3
O8x³+3
O 12x³ +22x²+2x-8
Answer:
12x³ +22x²+2x-8
Step-by-step explanation:
12x³ +22x²+2x-8
213.49 in standard form
Answer:
2.1349 x10^2
Step-by-step explanation:
i used a standard form calculator
I LONELY
2x6x0x7-1-5+16x87x9+0-2x67=
Answer:
12388
Step-by-step explanation:
Used calculator
HELP ASAP!
Find the equation of the line.
Use exact numbers.
y=___x+___
Answer:
y = 3/4x-2
Step-by-step explanation:
Answer:
Y=3/4x-2
Step-by-step explanation:
At a school assembly four out of the first 10
students were wearing spirit wear. Based on
this information, if 500 students were at the
assembly, then how many students could be
expected to be wearing spirit wear?
if 500 students were at the assembly, then the number of students who were wearing spirit wear is 200 students.
Calculations and Parameters:Since we know that:
4/10 of every student is wearing spirit wear.
The total number of students was 500
Hence,
We can express this as:
4/10 x 500
=4 x 50
= 200
Read more about percentages here:
https://brainly.com/question/24304697
System of equations
2x+4y=8
X=3y-6
plz oh plz with a cherry on top help me with this because it is due tonight help me wind the two decimals plzzzzzzzzzzzzz
Answer:
7.1 and 7.2
Step-by-step explanation:
if you look on the number line 51 is in between what two numbers
how to tell if a graph is a function?
Answer:
If you take a vertical line and place it on the graph, then no matter where on the graph you place the vertical line, the graph should only cross the vertical line once. If so, then it is a vertical line.
If not, then it isn't one.
Step-by-step explanation: