What is the price of a can of soda if a case of 24 is 8.99
Answer:
Discount:
20% is .2 as a decimal, so you multiply the value of 12 by .2
12(.2)=2.4
The discount is $2.40
Sale Price:
subtract 2.4 from the price of the original price
12-2.4=9.6
The sale price is $9.60
Step-by-step explanation:
Answer:
Each can of soda will cost $0.37
Step-by-step explanation:
First you write 24/8.99 = 1/x because you are trying to find the cost for 1 soda
24/8.99 = 1/x
Then you cross multiply.
24*x 8.99*1
24x=8.99
Divide each side by 24
24x/24=8.99/24
x=0.374583
Round it to the nearest hundredths place.
x=0.37
The equation
5
w
+
16
=
61
models how many weeks,
w
, it takes a puppy to reach a weight of
61
ounces after being born. If the puppy gains the same amount of weight each week, how many weeks does it take the puppy to reach
61
ounces?
Answer:
9 weeks
Step-by-step explanation:
5w+16=61
Subtract 16 from both sides of the above equation.
5w+16-16=61-16
5w = 45
w = 9
HELP ILL GIVE 80 AND BRAINLIEST
Answer:
288 sq feet is my best guess
Step-by-step explanation:
Eva and Jimmy share and amount of money in the ratio of 8:5 Eva gets 21 more than Jenny. How much do they get each
Answer:
Eva:$56
Jimmy/Jenny:$35
Step-by-step explanation:
diff->8-5=3
3u->$21
1u->$21÷3=$7
Eva->$7×8=$56
Jimmy/Jenny->$7×5=$35
Perform the indicated operation.
40−4
010
001
−8
−1
3
⇒ 40
⇒ 0
010
001
⇒ 4
−1
3
Multiply row 1 by the reciprocal of 4.
400
010
001
4
−1
3
100
010
001
−1
3
Answer:
yeah the answer is in the question just needed the points
Step-by-step explanation:
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
and,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
What is matrix?"A set of numbers arranged in rows and columns so as to form a rectangular array."
What is augmented matrix?"A matrix formed by combining the columns of two matrices to form a new matrix."
What are elementary row operations?"The mathematical operations that are performed on rows of a matrix."
For given question,
We have been given an augmented matrix.
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
We need to perform the row operation 4R3 + R1 → R1
To perform above row operation,
- First multiply the third row by 4. ([tex]4R_3[/tex])
- Add the new third row (4[tex]R_3[/tex]) with the first row.
- Then replace Row 1 with the result.
The resultant augmented matrix would be,
[tex]\begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
That is,
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
Now, we need to perform the row operation [tex]\frac{1}{4}[/tex] R1 → R1 on the above resultant augmented matrix.
To perform above row operation,
- Multiply the Row 1 by the reciprocal of 4.
- Then replace Row 1 with the result.
The resultant augmented matrix would be,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
Therefore,
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
and,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
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What was the total amount of water in the tank before it was drained
450 gallons
510 gallons
560 gallons
570 gallons
Total amount of water before it was drained will be 510 gallons.
What is rate?"It is a ratio in which the two terms being compared have different units."
For given question,
We have been given a table for the number of gallons of water left in the tank after being drained for two amounts of time.
First we find the rate at which the water was drained from the tank.
[tex]r=\frac{450-330}{30-10}\\\\ r=\frac{120}{20}\\\\ r=6~gallons~per~minutes[/tex]
Let the amount of water in the tank before it was drained = 'x' gallons
And the initial time = 0
Using the rate formula,
[tex]r=\frac{x-450}{10-0}\\\\ 6=\frac{x-450}{10}\\\\ 60=x-450\\\\x=450+60\\\\x=510~gallons[/tex]
Therefore, total amount of water before it was drained will be 510 gallons.
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On January 29, 2019, Australian authorities confiscated 157.7 kilograms of heroin with an estimated street value of 77 million AUD (Australian dollars). The exchange rate at the time was 1 USD = 1.42 AUD. Based on this information, what was the value in U.S. Dollars per pound for the heroin? Round your answer to the nearest thousand dollars.
Answer: $343849
Step-by-step explanation:
Since the exchange rate at the time was 1 USD = 1.42 AUD, therefore we will convert 77 million AUD to dollars which will be:
= 77 million / 1.42
= $54.225 million
Therefore, the value in U.S. Dollars per pound for the heroin will be:
= $54.225 million / 157.7
= $343849 pee pound
Seven bottles of soft drink were put out onto the
table at a birthday party. How much soft drink
was left over after 5 2/9 bottles were consumed?
please help me due tomorrow
Answer:
I think the answer is 1 7/9
18 POINTS I need it ASAP !
Answer:
7 to the power of 3
7 3
Step-by-step explanation:
7 21/ (7 6) 3
7 21/ 7 18
Cross it out and answer is 7 3
Answer:
343
Step-by-step explanation:
[tex]\frac{7^{12} * 7^{9}}{(7^{6})^{3} }[/tex] is the equation.
1. You can add the two exponents in the numerator --> [tex]7^{21}[/tex]
2. You can multiply the exponents in the denominator --> [tex]7^{18}[/tex]
(the equation is now [tex]\frac{7^{21} }{7^{18} }[/tex])
3. Subtract the exponents to get [tex]7^{3}[/tex]
[tex]7^{3}[/tex] = 343
What is the area of the parallelogram?
80 cm 2
40 cm 2
29 cm
58 cm 2
Answer:
80cm²
Step-by-step explanation:
Area of parallelogram =base×height
B=16cm
H=5
Area=16×5
80cm²
Hope this helps you :)
Step-by-step explanation:
area= b×h
area= 16cm × 5cm
area= 80 cm²
How do I find the value of x?
Answer:
2[tex]\sqrt{3}[/tex]
Step-by-step explanation:
tan = opp/adj
tan(30) = x/6 ** multiply by 6 on both sides
6tan(30) = x
[tex]2\sqrt{3}[/tex] = x
A creature on the moon throws a rock off a cliff. The height of the rock above the surface of the moon, in meters, t seconds after it is thrown is given by h(t) = −t 2 + 8t + 10. When does the rock hit the surface of the moon?
Answer:
9.099 seconds
Step-by-step explanation:
The rock hits the surface of the moon when is t is 0.
[tex]-t^2 + 8t + 10 = 0\\t^2 - 8t - 10 = 0[/tex]
Use the quadratic formula
t = -1.099 and 9.099
Since time can't be negative, the answer is t = 9.099
Devon bought a new suit that was discounted 40% off the original price. If the original price of the suit was $280, what was the discounted price?
a) $140
b) $392
c) $112
d) $168
Answer:
c
Step-by-step explanation:
Triangle LMN has L at (1, -1) and M at (2, 3). Triangle L'M'N' has L' at (-1, -1), M' at (3, -2), and N' is at (-3, 0). What are the coordinates of vertex N?
N (3, 0)
N (0, 0)
N (0, 3)
N (0, -3)
Answer:
The answer is N(0,-3)
Directions: Identify the slope and y intercept. Then write an equation in y = mx + b form. 9) 4 3 2 1 0 -3 -2 0 1 2 -1 -1 -2 -3 -4 Slope = y - intercept = Equation = Type here to search i a
Answer:
dbjsbysdtsagkpadh2igdgdsdHAHAHAHAHAHAHAHAHAHAHAHAHAHAHHAHA
Answer:
Step-by-step explanation:
why doesn't an elephant smoke?
Answer:
Because it can't
Step-by-step explanation:
Answer:
i dont know, y does it smoke?
Step-by-step explanation:
a new computer comapny has its sales increasing by 3% each week. A second computer company has its sales decreasing by $100 each day. the first company had $500 in sales when the second company had $7000 in sales. after approximately how many weeks will the sales for the two companies be the same?
A. 9
B. 13
C. 49
D. 63
Answer:
49
Step-by-step explanation:
:
Jeremy has hit 5 home runs so
far this season. This represents
20% of his yearly goal. How many
more homeruns does he need to hit
to achieve his goal?
Answer:
20 home runs left to hit.
Step-by-step explanation:
Ok so 100%/20% is 5. Increment 5 home runs until you get to 100%. So, 20% =5, 40% = 10, 80% = 15, and 100% = 20
Answer: 25 home runs
Step-by-step explanation:
20% = 5
40% = 10
80% = 20
80% + 20% = 100%
5+10=25
PLS HELP!! Jason bought glass vases for his booth at the fair. If he bought 13 vases and the total weight was 34.97 lb, how much did each vase weigh?
A. .00269 lb
B. .0269 lb
C. .269 lb
D. 2.69 lb
Answer:
D. 2.69 lb is your answer
13vases=34.97lb
1 vase=34.97/13=2.69lb
Carl rented a bounce house for his little brother's birthday party. The company charges a base rental charge of $95.25, plus a certain amount per hour. Carl's little brother's party lasted 4 hours, and costs $179.72. Carl plans to rent a bounce house for his little sister's birthday party for 6 hours for about $200. Is this a reasonable estimate? A. Yes, the estimate is reasonable. B. No, the estimate should be lower. C. No, the estimate should be higher.
Answer:
C. No, the estimate should be higher.
Step-by-step explanation:
Carl's brother party
Fixed charge = $95.25
Number of hours = 4 hours
Hourly charge = x
Total cost = $179.72
179.72 = 95.25 + 4x
179.72 - 95.25 = 4x
84.47 = 4x
x = 84.47/4
x = 21.1175
Hourly charge = $21.1175
Carl's little sister party
Estimated total charge = $200
Number of hours = 6
Fixed charge = $95.25
Hourly charge = $21.1175
Total charges = 95.25 + 6(21.1175)
= 95.25 + 126.705
= 221.955
Total charges = $221.955
C. No, the estimate should be higher
yo is arjun du.mb
csCsscasxsCSc
Answer:
ok kapoor
Step-by-step explanation:
"complete the function table. use the given input (x) values and determine the corresponding output (y) values based on the given function. if no inputs or outputs are given --- provide your own."
Answer:
-4, 6, 16, 26
Step-by-step explanation:
For each y-value, all you need to do is put x into the function or equation wherever there is an x, and the result will be the y-value.
When x = 0; y = 2(0)-4, or y = -4.
When x = 5; y = 2(5)-4 = 10-4 = 6
When x = 10; y = 2(10)-4 = 20-4 = 16
When x = 15; y = 2(15)-4 = 30-4 = 26
A rectangular prism has a base area of 380 square feet. The volume of the prism is 4180 cubic feet. What is the height of the prism?
Answer:
the height will be 11 cm
Step-by-step explanation:
As:
given,
base area = 380
volume = 4180
We know,
Base area = l * w
or, 380 = l * w
Then,
volume= l * w * h
or, 4180 = 380 * h
or, 4180/380 = h
or, h = 11
Therefore, the height will be 11 ft.
All the best!!
The height of the rectangular prism is 11 feet
The volume of the prism is given as:
Volume = 4180 cubic feet
The base area of the prism is given as:
Base Area = 380 square feet
The volume of the prism is calculated as:
[tex]Volume = Bh[/tex]
Where, B represents the base area and h represents the height
So, we have:
[tex]4180= 380 \times h[/tex]
Divide both sides by 380
[tex]11 = h[/tex]
Rewrite the equation as:
[tex]h =11[/tex]
Hence, the height of the rectangular prism is 11 feet
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Find the measure of each angle in the isosceles trapezoid WXYZ.
Answer:
Given each largest angle is x, then the other angles are x, x, 180 -x, 180 - x
This is because of the properties of isosceles triangle
Tamia has four more coins in her collection than Troy. The number of coins in Troy's collection is two raised to the power of eight. Enter the missing part of the numerical expression that represents the number of coins in Tamia's collection. □+28
Answer:68
Step-by-step explanation: 8 x 8 = 64
4 more, 68
Triangle Theorem ( sss, sas, asa )
Answer:
A.) SSS
B.) HL
C.) SAS
Cora read one sixth of her book on day one. She read one fourth of her
book on day two. What fraction of her book did she read in two days?
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]\frac{1}{6}[/tex] + [tex]\frac{1}{4}[/tex] = finding common denominator which is 12. so multiply both sides with what makes them 12 ...... [tex]\frac{1}{6}[/tex] [tex]\frac{2}{2}[/tex] & [tex]\frac{1}{4}[/tex][tex]\frac{3}{3}[/tex] then add = [tex]\frac{5}{12}[/tex]
Find x
16 ft
х
12 ft
Answer:
x = 20
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )
x = [tex]\sqrt{400}[/tex] = 20
Given m||n, find the value of x.
xo
170
o
Answer:
Submit Answer
Answer:
sorry for the points
Step-by-step explanation:
Joe would like to paint a rectangular shaped wall. The measures of dimensions of the wall are 8 inches by 4 inches. Every 1 inch represents 3 feet of the actual wall. If the cost of the painting is $2.50 per square feet, find the total cost of paint needed for the entire wall.
Answer:
$90
Step-by-step explanation:
8 + 4 = 12
12 x 3 (3 feet for each inch) = 36
36 x 2.50 (cost per square foot) = $90
Answer:
$240
Step-by-step explanation:
8 x 4 is 32
32 x 3 is 96
96 x 2.5 is 240