Answer:
the volume of the tissue box would be 0.2×0.5×0.3. the volume of a rectangular prisim is V=l×w×h
A rectangle's base is 8 in shorter than three times its height. The rectangle's area is 16 in?. Find this rectangle's dimensions.
The rectangle's height is..
The rectangle's base is..
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Let the height of rectangle be = x,
height = x base = 3x - 8Area of rectangle = base × height
[tex](3x - 8) \times (x) = 16[/tex][tex]3 {x}^{2} - 8x = 16[/tex][tex]3 {x}^{2} - 8x - 16 = 0[/tex][tex]3 {x}^{2} - 12x + 4x - 16 = 0[/tex][tex]3x(x - 4) + 4(x - 4) = 0[/tex][tex](3x + 4)(x - 4) = 0[/tex]so, there are two cases now,
Case - 1 :
[tex]3x + 4= 0[/tex][tex]3x = - 4[/tex][tex]x = \dfrac{ - 4}{3} [/tex]here, value of x (length) is negative, measure of length can't be negative, so length is not equal to -4/3
Case - 2 :
[tex]x - 4 = 0[/tex][tex]x = 4[/tex]here, value of x = 4, and satisfys the condition so
length = x = 4 in base = 3x - 8 = (3 × 4) - 8 = 12 - 8 = 4 inThe rectangle's height is 4 inches and the rectangle's base is also 4 inches.
Let's assume the height of the rectangle is 'h' inches.
According to the given information, the base of the rectangle is 8 inches shorter than three times its height. This can be expressed as:
Base = 3h - 8
The area of a rectangle is given by the formula:
Area = Length * Width
In this case, the area is given as 16 square inches. We can set up the following equation:
16 = h * (3h - 8)
Expanding the equation:
[tex]16 = 3h^2 - 8h[/tex]
Setting the equation equal to zero:
[tex]3h^2 - 8h - 16 = 0[/tex]
To solve this quadratic equation, we can use factoring, completing the square, or the quadratic formula. Let's solve it using the quadratic formula:
[tex]h = (-b \± \sqrt{b^2 - 4ac}) / (2a)[/tex]
For this equation, a = 3, b = -8, and c = -16. Plugging in the values:
[tex]h = (-(-8) \± \sqrt{(-8)^2 - 4 * 3 * (-16)}) / (2 * 3)\\\\h = (8 \± \sqrt{64 + 192}) / 6\\\\h = (8 \± \sqrt{256}) / 6\\\\h = (8 \± 16) / 6[/tex]
We have two possible values for h:
h₁ = (8 + 16) / 6 = 4
h₂ = (8 - 16) / 6 = -1
Since the height of a rectangle cannot be negative, we can discard the value h₂ = -1.
Therefore, the rectangle's height is 4 inches.
Now, we can find the base of the rectangle:
Base = 3h - 8
Base = 3 * 4 - 8
Base = 12 - 8
Base = 4
Therefore, the rectangle's base is also 4 inches.
To know more about height, refer here:
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is 0.3 closer to 0 or 0.5
Answer:
0.3 is closer to 5
Step-by-step explanation:
0.3 is 0.3 away from 0 and 0.2 away from 5.
0.2<0.3
the Andriomeda galaxy is... times further away from the earth than saturn
hi y'all can anyone help me with this?? cuz i need this rn ( need a solution ) tysm!
Answer:
1. 3x² - 75y² = 3(x+5y)(x-5y)
2. 4x³y⁸ + 6x⁴y² + 10x⁵ y¹⁰ = 2x³y²(2y⁶+3x+5x²y⁸)
3. x⁸ - 1 = (x⁴+1) (x²+1) (x+1) (x-1)
4. 64a³ m² - 216 m⁵ = 8m²(2a-3m) (4a²+ 6am+9m²)
5. 2x³+ 54y³ = 2 (x+3y) (x²-3xy+9y²)
I hope I helped you^_^
A soccer field is a rectangle 100 meters wide and 130
meters long. The coach asks players to run from one
corner to the other corner diagonally across. What is
the distance diagonally? Round to the nearest
TENTHS place.
a.83.1 meters
b.164.0 meters
c.26900 meters
with steps please (: <3
Answer: b.164.0 meters
Step-by-step explanation:
ILL GIVE BRAINLIEST
Which statement best describes how ultrasound can produce an image?
A. Sound waves emitted by the machine bounce off tissues and
return to the machine.
B. Sound waves that form outside the body reflect off the body and
are detected by the machine.
C. Sound waves that form within the body travel to the machine,
where they are detected.
D. Sound waves emitted by the machine pass through the body and
are measured on the other side.
Answer:
A
Step-by-step explanation:
just did it :)
The statement that best describes how ultrasound can produce an image is sound waves that form outside the body reflect off the body and are detected by the machine.
What is Ultrasound?Diagnostic ultrasound, also called sonography or diagnostic medical sonography, is an imaging method that uses sound waves to produce images of structures within your body.
We have some statements that describes how ultrasound can produce an image.
The ultrasound image is produced based on the reflection of the waves off of the body structures. The strength (amplitude) of the sound signal and the time it takes for the wave to travel through the body to provide the information necessary to produce an image.
Therefore, the statement that best describes how ultrasound can produce an image is sound waves that form outside the body reflect off the body and are detected by the machine.
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What is the equation of the line that passes through the point (−3,0) and has a slope of -1/3
Answer:
(-3,0)=(x1,y1)
slope=m=-1/3
the equation of the line is
y-y1=m(x-x1)
y-0=1/3(x-(-3))
y =1/3(x+3) (-- is + at right side)
y =1/3*x + 1/3*3
y =1/3 x +1 (3 has been canceled from the right side)
Step-by-step explanation:
Does 2/3×8 =5 beau e I’m not sure
Answer:
No Solution
Step-by-step explanation:
1) Use the rule: a/b x c = ac/b.
2 x 8/3 = 5
2) Simplify 2 x 8 to 16.
16/3 = 5
3) Since 16/3 = 5 is false, there is no solution.
No Solution
a To solve 18 x 20, I find double 18 and then multiply by 10. What is the Answer?
Answer: 360
Step-by-step explanation:
If you double 18 and then multiply by 10 will be 360.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 18 x 20
The product of the numbers 18 and 20 will be 360.
If you double 18 and multiply the number by 10 will be
2(18) x 10 = 36 x 10 = 360
If you double 18 and then multiply by 10 will be 360.
More about the multiplication link is given below.
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in a group of 20 there are 7 boys what is the ratio of girls to boys?
Step-by-step explanation:
given,
total members in grp = 20
no. of boys = 7
no. of girls = 20 - 7 = 13
so,
the ratio of girls to boys is = 13:7
hope this answer helps you dear...take care and may u have a great day ahead!
The expression (2x^2)^3 is equivalent to
O 6x^5
O 6x^2
O 8x^6
Answer:
8x^6
Step-by-step explanation:
A disposable cup is in the shape of a cone, as shown. The cup has a volume of about 48.8 in?
? in.
6 in.
What is the radius of the cup to the nearest inch?
in
Need help with this question?
Answer:
The volume of a cone is given by the formula V=\frac{1}{3} \pi r^{2} hV=
3
1
πr
2
h
If we plug in the known information into the formula, we will get the answer.
d=2.75 ind=2.75in
We know radius is half of d, so r=0.5*2.75=1.375 inr=0.5∗2.75=1.375in
The height is given as 4 in.
Pluggin all of these in the original formula gives us:
V=\frac{1}{3} \pi (1.375)^{2} (4)=7.919 cubic inchesV=
3
1
π(1.375)
2
(4)=7.919cubicinches
Rounded to the nearest tenth, our final answer is:
V=7.9 cubic inches
Step-by-step explanation:
Read carefully hopefully it helps take care
15. One of two complementary angles is 18 less than the other.
Find the measure of each angle.
Answer: 36° and 54°
Step-by-step explanation:
Let the larger angle be 'R' and the smaller angle 'q'
⇒ R + q = 90 [since complementary angles have a sum of 90°]
Then R - q = 18 [since 1 of 2 complementary angles is 18 less than other]
We can combine the equation
(18 + q) + q = 90
18 + 2q = 90
2q = 72
q = 36
We can solve for R
R - 36 = 18
q = 36 + 18
q = 54
This is for Math And it is urgent, please I also need some work shown. This is URGENT
Answer:
Q1: 250
Q2: 50
Step-by-step explanation:
Q1: 14,000 + 160x = 24,000 - 200x
24,000 - 14,000 = 10,000
200x - 160x = 40x
10,000/40x = 250
Q2: 800 - 6x = 1,000 - 10x
1,000 - 800 = 200
10x - 6x = 4x
200/4x = 50
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I need a solution or explanation,need correct answer.
Answer:
20Step-by-step explanation:
Count the numbers within the circle B, which represents the brakes.
7 + 6 + 4 + 3 = 20 cars9514 1404 393
Answer:
20
Step-by-step explanation:
The total with defective brakes is the total of all of the numbers inside the circle marked B.
7 + 6 + 4 + 3 = 20
20 cars had defective brakes.
_____
Additional comment
This diagram is called a Venn diagram. Each circle represents a specific condition. Where circles overlap, the area of overlap represents all of the conditions represented by the overlapping circles. For example, 6 cars had both defective brakes and lights (but not defective tires).
The equation y= 1/3x represents a proportional relationship. What is the constant of proportionality? A. x B. 0 c. 1/3 D. 3
Answer:
C ) 1/3
Step-by-step explanation:
In the given equation, y = 1/3x, where it represents a proportional relationship:
1/3 represents the constant of proportionality which shows that as x increases, y also increases at the same rate. The constant of proportionality in this given instance is also the rate of change, or the slope.
The constant of proportionality under the direct proportion condition is the slope of the line when plotted for two proportional constants x and y on a graph.
Therefore, the correct answer is C) 1/3.
plsss help me:((( I really need it now:(((
Step-by-step explanation:
1. y--7=-2(x-0)
y+7=-2x
y=-2x-7
2. y--3=-2(x-1)
y+3=-2x+2
y=-2x+2-3
y=-2x-1
Match the graph to the solution of the system of equations.
(-4, 3)
(-1, 4)
(3, -3)
(3, 4)
(3, -4)
(4, 3)
(4, -1)
Answer:
see explanation
Step-by-step explanation:
The solutions to the system of equations is at the point of intersection of the 2 lines.
(3, - 4 ) ← first one
(- 1, 4 ) ← second one
(3, - 3 ) ← third one
(3, 4 ) ← fourth one
Asoccer field measures 300 feet by 180 feet. What is the area of the field?
Answer:
54000
Step-by-step explanation:
Just do 300 feet multiplied by 180 feet, giving you 54000. Therefore, the area of the field is 54000.
Answer:
Answer: · 1.24 acres or 54,000 feet · by-step explanation: · 1.2396694 · 300*180=54000 · Then round up 1.2396694 and u get 1.24.
2 answers
·
12 votes:
It is 54,000 feet. Area is length times width (300 times 180).
Step-by-step explanation:
Answer: · 1.24 acres or 54,000 feet · by-step explanation: · 1.2396694 · 300*180=54000 · Then round up 1.2396694 and u get 1.24.
2 answers
·
12 votes:
It is 54,000 feet. Area is length times width (300 times 180).
mathematics of negative
Answer:
The answer is A
Step-by-step explanation:
If you solve the equation, you get x is less than or equal to -2. Since -1 is the only number that doesn't satisfy this inequality, A is the answer.
Answer:
3x - 5 > 4x - 3
-1 is the answer (A)
Step-by-step explanation:
the drama club sold 421 tickets to its play for a total of $1,244. student tickets cost $2 and adult tickets cost $5. how many of each type did the drama club sell
Answer:
yep ur welcome
Step-by-step explanation:
2s+2105-5s=1224
-3s=-881
s=-881/-3
s=294
a=421-294
a=127
Answer:
Student tickets: 287
Adult tickets: 134
Step-by-step explanation:
Students: x
Adults: y
a) x + y = 421
b) 2x + 5y = 1,244
a) x = 421 - y
b) 2 (421 - y) + 5y = 1,244 (substitution)
842 - 2y + 5y = 1244
3y = 1244 - 842
y = 402/3
y = 134 adult tickets
421 - 134 = 287 student tickets
please help mee need solution please thank you
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The Correct choice is :
D. Both ll and lll
A man uses 2/5of his piece of land to keep poultry,1/4 for bulls, 1/7 of the remainder for goats and test for sheep.If he uses 12 acres for goats, determine the total acreage he uses for sheep. (3marks)
Answer:
72
Step-by-step explanation:
We will first have to find the fraction of the whole land goats use. If we add 2/5 and 1/4, we will get 13/20. Simplifying the expression 1-13/20 gets 7/20, which is the total fraction of land the goat and sheep has. The goat will then get 7/20*1/7 of the whole land, which is 1/20. The sheep will then get 7/20*6/7 of the entire land, which is 3/10. Because 1/20 of the whole land is 12 acres, the farmer has 240 acres. SImplifying the expression 240*3/10 gets 72 acres
can someone please answer my question. thank you ❤️
You can use GP in many ways.
Suppose you invested some money at somewhere.The money increases in a constant ratio.You can use geometric sequence in order to find your money after some years.In science you can use it to find growth of bacteria which is exponential.Answer:
• Geometric progression is applied in many ways namely;
In the country statistics bureau while carrying out population census.In present situation, it is used to determine the number of cases, deaths from Corona virus disease.In determining the compound interest of principle in the banks for a given period of time.[tex].[/tex]
What are the correct answers to this geometry problem?
https ://www. you tube.com/chan nel/UCRg4zCv6 o93Nxiidwv kQnoA
Pls Hurry: Ruben bought 2 candy bars and 4 bags of chips for $24. Lucia bought 2 candy bars and 2 bags of chips for $14. What was the cost of the individual candy bar and a bag of chips?
Answer:
A candy bar costs $0.80
A bag of chips costs $6.20
Step-by-step explanation:
Let's call candy bars x, and bags of chips y.
Ruben ought 2x and 4y for $24
Lucis bought 2x and 2y for $14
This means that 2x+4y = 24 and 2x+2y = 14
Now we have a system of equations that we can solve.
2x + 2y = 14
2(x + y) = 14
x + y = 7
y = 7 - x
Plug this into the next equation to get:
2x + 4y = 24
2x + 4(7 - x) = 24
2x + 28 - 7x = 24
28 - 5x = 24
-5x = -4
x = -4/-5
x = 4/5 = 0.8
plug that x value into y = 7 - x to find y
y = 7 - x
y = 7 - (4/5)
y = 245/35 - 28/35
y = 217/35 = 6.2
now we can check our work:
2(x + y) = 14
2(6.2 + 0.8) = 14
2(7) = 14
14 = 14
^ this means our values are correct
Answer:
A candy bar costs $0.80
A bag of chips costs $6.20
Please help me with this question
Answer:
g-13=48
Step-by-step explanation:
Answer:
it would be []-[]
Step-by-step explanation:
I say this b/c you take g-13 to get 48 may I have brainliest
Determine the domain and range of the following relation.
x+10=y
Answer:
Domain: (-∞, ∞)
Range: (-∞, ∞)
Step-by-step explanation:
Given the linear function, x + 10 = y,
Its domain is the set of all real numbers, as represented in the interval notation, (-∞, ∞).
The same goes with range, the set of all real numbers, as represented in the interval notation, (-∞, ∞).
You earn $12.00 an hour working at a fast food restaurant. Your most recent paycheck
was for $564. How many hours did you work?
Answer:
47 hours
Step-by-step explanation:
564/12 = 47
Answer:
47 hours
Step-by-step explanation:
564÷12.00= 47
SOMEONE HELP! i’ll mark as brainliest!!
Answer:
b1= 2A/h - b2
Step-by-step explanation:
You have to multiply each side by 2, then divide each side by h. after that you subtract b1 from both sides and then you will get your answer.
Answer:
b1 = 2A / h - b2
Step-by-step explanation:
A = h(b1 + b2) / 2
[cross multiply]
h(b1 + b2) = A × 2
b1h + b2h = 2A
[divide both sides of the equation by h]
b1h / h + b2h / h = 2A / h
b1 + b2 = 2A / h
[make b1 the subject of the formula]
b1 = 2A / h - b2