Katie buys a large pizza for $14.99 and bottles of soda for $1.50 each. If the total cost was $23.99, how many bottles of soda (b) did she buy
The number of soda bottles Katie bought is 6
The given parameters are:
Large Pizza = $14.99Soda = $1.50 per bottleTotal cost = $23.99Assume the number of soda bottle is x.
So, we have:
[tex]Total = Pizza + Soda \times x[/tex]
This gives
[tex]23.99 = 14.99 + 1.50\times x[/tex]
Subtract 14.99 from both sides of the equations
[tex]9 = 1.50\times x[/tex]
Divide both sides of the equations by 1.5
[tex]6=x[/tex]
Rewrite the equation as
[tex]x = 6[/tex]
Hence, the number of bottles is 6
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Solve the system using elimination.
x − 4y = 4
3x − 4y = −12
A. (−2,112)
B. (−8,−3)
C. (−8,9)
D. (−2,−112)
Answer:
B. (-3,-8)
Step-by-step explanation:
I have aced tests on these. You can trust this is correct - plus it's verified by a calculator.
Answer:
B
Step-by-step explanation:
x - 4y = 4 → (1)
3x - 4y = - 12 → (2)
Multiplying (1) by - 1 and adding to (2) will eliminate the y- term
- x + 4y = - 4 → (3)
Add (2) and (3) term by term to eliminate y
2x + 0 = - 16
2x = - 16 ( divide both sides by 2 )
x = - 8
Substitute x = - 8 into either of the 2 equations and solve for y
Substituting into (1)
- 8 - 4y = 4 ( add 8 to both sides )
- 4y = 12 ( divide both sides by - 4 )
y = - 3
solution is (- 8, - 3 ) → B
Directions: Write the expression for each sentence below.
1. the sum of 6 and t = 6 + t
2. the product of y and 11
3. the difference of 4 from 12
4. the quotient of 6 divided by t
5. 19 less than 25
6. increase s by 2s
7. decrease 11 by r
8. add 6 times x and 2 times s
9. the quotient of 17 minus 12 and 2
10. the product of 3 and x less 10
11. the product of 7 and 2 divided by 2
12. decrease the product of 7 and 6 by a number
Answer:
y-4??
Step-by-step explanation:
Write the equation of the line with a slope of 3 and passes through the point (0,5).
Answer can be in either slope-intercept
form or point-slope
form
Answer:
y=3x+5
Step-by-step explanation:
y-y1=m(x-x1)
y-5=3(x-0)
y-5=3(x)
y-5=3x
y=3x+5
Note that the slope intercept form is y=mx+b where m=slope and b=y-intercept.
If you're satisfied with the answer, then please mark me as Brainliest. Thank you.
describe this graph of a Ferris wheel
Answer:
A wheel completes a rotation when it moves 360 degrees. The descriptions of the graph are: The Ferris wheel will rotate 4 times.
Step-by-step explanation:
but what graph
The Ferris wheel makes 4 rotations.
The maximum points on the graph represent when the Ferris wheel is at the top, and the minimum points on the graph represent when the Ferris wheel is at the bottom
What is the value of b for the following circle in general form? x2 + y2 + ax +by+c=0
Answer:
Step-by-step explanation:
(1). (x - h)² + (y - k)² = r²
where (h, k) are coordinates of a center of the circle with radius r
(2). ( a ± b )² = a² ± 2ab + b²
~~~~~~~~~~~~~~
( 1 , - 2 ) ; r = 3
( x - 1 )² + ( y + 2 )² = 3²
x² - 2x + 1 + y² + 4y + 4 = 9
x² + y² - 2x + 4y - 4 = 0
a = - 2
b = 4
c = - 4
My I please have some help
Simplify (89^6 x 91^3)^0
1
(89^6 x 91^3)
0
(89^7 x 91^4)
Answer:
Any number(except 0) to the power 0 is equal to 1. So the the answer is 1.
Step-by-step explanation:
help me Kaite bought 3 DVD's for $ 45. What was the cost of each DVD's
Answer:
45/3 = 15
They each where $15
Hope that helps
Step-by-step explanation:
Answer:
$15
Step-by-step explanation:
All you need to do is divide 45 by 3 and you get 15
whats 5 plus 6, i cant find out, its hard
Answer:
its 11
Step-by-step explanation:
because when you add 6 and 5 your answer will be 11 and its very easy and clear
how to factorize 5x^2-20y^2
Answer:
Step-by-step explanation:
[tex]5x^2-20y^2\\=5(x^{2} -4y^2)\\=5[x^{2} -(2y)^2]\\=5(x+2y)(x-2y)[/tex]
Answer:
Step-by-step explanation:
An Ipad that costs $500 is on sale for 15% off. Then has a 6% tax. What's the final price?
Answer:
subject tooo
Step-by-step explanation:
sorry
Answer:
$450.50
Step-by-step explanation:
Please help me with this
Answer:
A and F
Step-by-step explanation:
what’s an perpendicular equation of a line to y=-2/7x+9 that passes through the point (4,-6)
Answer:
has no prison pits as melatarea
Baby Deirdre wants to arrange 8 blocks in a row. How many different arrangements can the baby make?
There are
ways to arrange the 8 blocks.
Sixth grade
X Factor numerical expressions using the distributive property. MX2
Which expression shows a way to factor 63 + 49?
21(3 + 2)
7(9 + 7)
9(7 + 6)
3(21 + 16)
Hey there!
“63 + 49”
21(3 + 2)
= 21(3) + 21(2)
= 63 + 42
= 105
Option A. isn’t the answer because the equation for that is: 63 + 42
7(9 + 7)
= 7(9) + 7(7)
= 63 + 49
= 112
Option B. could possibly be your answer
9(7 + 6)
= 9(7) + 9(6)
= 63 + 54
= 117
Option C. isn't your answer because the equation for that is: 63 + 54
3(21 + 16)
= 3(21) + 3(16)
= 63 + 48
Option D. isn’t your answer because the equation for that is: 63 + 48
Thus, this makes makes [Option B. 7(9 + 7)] is your answer
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Use an area model to find the quotient: 132 ÷ 3 = ________.
Answer:
44
Step-by-step explanation:
The m1 is twice m3. The m2 is 20 more than the m3 find m4. See picture for full problem. Please and thank you!
Answer:
Step-by-step explanation:
Today, everything at the store is on sale. The store offers a 20% discount
If the regular price of an item is x dollars, what is the discount price in dollars?
Answer:
.8x dollars
Step-by-step explanation:
Twenty percent off means you are paying 80 percent of every dollar, and 80 percent translates to .8 to 1 as a proportion.
Answer:
$.80x
Step-by-step explanation:
0.80x
help me with this pls
Answer:
-49
Step-by-step explanation:
Make sure you understand the difference between
-3² and (-3)²
-3² means square 3, then take its opposite. -3² is the same as -(3²) = -9
(-3)² means square the number -3, which means that (-3)² = (-3) × (-3) = 9
Ok, now we can start. Use the correct order of operations.
-3² + (2 - 6)(10) =
= -9 + (-4)(10)
= -9 + (-40)
= -9 - 40
= -49
What is the equation of the line that passes through the point (-5,1)(−5,1) and has a slope of -\frac{1}{5}−5
Answer:
Step-by-step explanation:
I will interpret "-\frac{1}{5}−5" as -(1/5).
We'll look for an equation by starting with the slope intercept format of:
y = mx + b,
where m is the slope and b is the y-intercept (the value of y when x=0).
We are given the slope of -(1/5), I think.
The equation becomes y = -(1/5)x + b
We want to find a value of b that will force the line to go through point (-5,1). Do this by putting this point into the equation we have thus far:
y = -(1/5)x + b
1 = -(1/5)*(-5) + b [point (-5,1)]
1 = 1 + b
b = 0
The equation becomes y = -(1/5)x + 0, or y = -(1/5)x
See the attachment.
Describe how modern entertainment has begun to reflect the changing makeup of families in America.
It should be noted that modern entertainment has played a vital role in shaping African culture and homes.
Through modern entertainment, Africans views on marriages have changed. Most African men now marry one wife which was quite different in the olden days when it was believed that an increase in the number of wives one had was used to show superiority.
Also, entertainment has been impactful in the issue of child-bearing. Women now give birth to lesser children at an average of 3 per home.
Lastly, modern entertainment has also influenced the kind of movies and music that are listened to.
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What principal will amount to 20,790 in 2 years at the simple interest of 5% per annum?
Answer:
18900
Step-by-step explanation:
I Can't Believe There Still Work It's Christmas Break
solve the inequality and graph its solution.
Answer:
D
Step-by-step explanation:
Hope this helped! :D
Given pr // st. pr = 7 cm. ts = 3cm tq = 5cm what the length of pt
The question is an illustration of parallel lines, and equivalent ratios
The length of pt is 11.7 cm
Given that:
[tex]pr = 7cm[/tex]
[tex]ts =3cm[/tex]
[tex]tq = 5cm[/tex]
This means that:
[tex]pr : ts = pt : tq[/tex]
Substitute values for pr, ts and tq
[tex]7cm : 3cm =pt : 5cm[/tex]
Express the ratios as fractions
[tex]\frac{7cm }{ 3cm }= \frac{pt}{5cm }[/tex]
Cancel out the common units
[tex]\frac{7}{ 3}= \frac{pt}{5cm }[/tex]
Cross multiply
[tex]3pt = 35cm[/tex]
Divide both sides by 3
[tex]pt = 11.7cm[/tex]
Hence, the length of pt is 11.7 cm
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I need help please I’ll give you five stars!
• The outside temperature changes -4.8°F in 4 hours. What is the average change in temperature each hour?
-19.2°F
-12.2°F
-1.8°F
-1.2°F
Answer:
-1.2°F
Step-by-step explanation:
-4.8F = 4 hours
Divide both sides by 4 to get one side to 1 hour
-4.8F/4 = 4 hours / 4
-1.2F = 1 hour
The average change in temperature each hour is -1.2°F
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that the outside temperature changes -4.8°F in 4 hours
We need to find the average change in temperature each hour
To find this we need to use division.
We need to divide -4.8 by 4
-4.8/4
Minus four point eight divided by 4
-1.2
Hence, the average change in temperature each hour is -1.2°F
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Find an equivalent ratio in simplest terms:
64 : 24
Submit Answer
Answer:
64/24
32/12
16/6
8/3
8:3
Hope This Helps!!!
Which of the following is NOT a solution to the
inequality |-3x + 3) > 6?
A. -4
B. -3
C. -2
D. 3
E. 4.
Answer:
B
Step-by-step explanation:
who is better Green Bay packers or the bears
Answer:
green bay packers all dayyy
Step-by-step explanation:
What is the value of the digit in the hundred thousands place?
61,889,248
A. 60,000,000
B. 800,000
c. 100,000
D. 80,000
Answer:
C
Step-by-step explanation: