Answers
Related Questions
The side of a square was reduced by 3 in and the other side was enlarged by 5 in. The area of a new rectangle is 9 square inches. Find the side of a square
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Answer:
4
Step-by-step explanation:
Give the other guy a 5 star my dude lol
The square has a property of having all the sides equal. The rectangle on the other hand has its opposite sides equal. The larger side of the rectangle is called length and the smaller side is called breadth. The area of rectangle is the product of length and breadth i.e.
[tex]\rm Area\:of\:rectangle = Length\: \times Breadth[/tex]
The side of square for the given question is [tex]4\rm \: inches[/tex].
Calculation:Let the side of square be [tex]\rm x[/tex]
Given:
Area of rectangle is 9 square inches.
Side of square is reduced by 3 and other side is enlarged by 5. Therefore, dimensions of the rectangle will be:
[tex]\rm Breadth = x - 3\\\\Length = x + 5[/tex]
[tex]\rm Area\:of\:rectangle = Length\: \times Breadth\\\\9 = (x + 5)(x -3)\\\\9 = x^2 + 5x -3x -15 \\\\9 = x^2 +2x - 15 \\\\0 = x^2 +2x-15-9\\\\0 = x^2+2x-24\\\\[/tex]
On factoring the equation:
[tex]\begin{aligned} \rm x^2 + 2x -24 &= 0\\\\x^2 + 6x - 4x - 24 &= 0\\\\x(x+6)-4(x+6) &= 0\\\\(x+6)(x-4)&=0\end[/tex]
On equating [tex]\rm (x +6)[/tex] and [tex](x-4)[/tex] with 0 we get:
[tex]x = -6\\\\x=4[/tex]
Since side of square cannot be negative, [tex]x = 4[/tex] is the only correct value.
Therefore the side of square is [tex]4 \:\rm inches[/tex].
Learn more about the topic here:
https://brainly.com/question/22249467
using my last points: HELP!
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EXPLANATION:
by finding a volume of a prism you multiply the length, width and height
Explanation:
To find volume, you do length * width * height
9 x 7 x 2 = 126
126 cubic centimeters
what is 5+5x85x900/37x1000-10
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Answer:
what is 5+5x85x900/37x1000-10: the answer for 5+5x85x900/37x1000-10 is 10337832.8378
Step-by-step explanation:
helpppp please any answers
Answers
Step-by-step explanation:
2 + 3 × 6 + 4 × 3
Here, Parantheses should be put,
(2 + 3) × 6 + 4 × 3. (P.E.D.M.A.S) ( First Parantheses)
= 5 × 6 + 4 × 3 (Then multiplication)
= 30 + 12. (At last addition)
= 42
Of the 292 students at Central Middle School, 25% are on the honor roll.
How many students are on the honor roll?
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Answer:
73 students
Step-by-step explanation:
0.25×293=73
Here is the histogram of a data distribution. All class widths are 1.
What is the median of this distribution?
O A. 4
O B. 3
O C. 6
D. 5
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[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Statistics of a Categorised data.
We know that medium is the middle most point of any observation table or a Histogram displayed,
Hence we can clearly see here that, observation - 4 on the x-axis is the middle most entry of the Histogram, around which all other entries are equal.
===> Hence, option A.) 4 is correct answer.
1.
Learning Actlvities
We saw 18 big fish in a pond. Fifty percent of them were very colorful, there
are a colorful fishes.
The base in the problem is ______
2. Mr. Gonzales received the amount of 10 000 pesos after selling a computer
set cost 50,000 pesos for he has given a 20% commission
What is the rate in the problem?_____
3. In our class there 30 boys. o out of 30 are working students. It is 20% of the
total number of boys in our class.
The percentage in the problem is____
pa answer po pls
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Answer:
1. 18 big fish
2. 20%
3. 0
hmmmm,
PLZ HELP ME ASAP PLS
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Answer:
The answer is B no triangles can be made. for it to be a triangle two sides must be greater than the third side. is 14+6 greater that 5? Yes but 6+5 isn't greater than 14 so the answer would be no triangles can be made
No triangle can have 2 sides.
What is the solution to the inequality 7x + 2 < -3x + 1?
Ο Α. α
<
3
4
ОВ. І
>
Alco
1
2
<
10
O D.
2
>
10
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Answer:
and DJ ssksb did did isbn dhe9susaew7s ene 8th box hcm box bro sb d
Step-by-step explanation:
ishdbd works zjsbdjs s nsie djsid
1. The rules for adding and subtracting rational expressions are the same as
the rules for adding and subtracting numerical fractions. *
True
False
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Calvin paints pictures and sells them at art shows. The charges $56.25 for a large painting. He charges $25.80 for a small painting. Last month he sold six large paintings and three small paintings. How much did he make in all?
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Answer:
He made $414.90 in all.
Step-by-step explanation:
56.25 * 6 = $337.50
25.80 * 3 = $77.40
77.40 + 337.50 = $414.90
A car drives ninety-one miles on seven gallons of gas. How many miles does the car
travel per gallon?
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Answer:
13
Step-by-step explanation:
HELP?!????!?? For both of them number 6 &7
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6. D
7. B
Hope it helps
A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be cx dollars per year, while her rent will be 4c/( x + 1) dollars per year, where c is a constant taking various situational factors into account. How far should she live from work to minimize her combined expenses for rent and transportation? Use the methods outlined in this section to find the minimum.
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Answer:
the woman has to live 1 mile from work to minimize the expenses
Step-by-step explanation:
Given the data in the question;
the distance within 9 miles ⇒ 0 < x > 9
Total costs Q = cx + 4c/( x + 1)
costs should be minimum ⇒ dQ/dx = 0
⇒ d/dx [ cx + 4c/( x + 1) ] = 0
⇒ ( x + 1)² = 4
take square root of both side
√[ ( x + 1)² ] = √4
x + 1 = 2
x = 2 - 1
x = 1
Therefore, the woman has to live 1 mile from work to minimize the expenses
It costs $120 for 20 students to visit an aquarium. How much does it cost for 152 students? Set up a proportion to solve.
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Answer:
152 times 6=912
Step-by-step explanation:
$120 for every 20 students
it cost $6 for every 1 student
$6 times 152=912
Write with numbers:
32
Four hundred sixty seven and
100
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467
one hundred
Out of his monthly salary, Josh spends 37.5% on his bills, on groceries, and on transportation. If he decides to save of the remaining part, what percentage of his salary will he save?
A.
10%
B.
6.25%
C.
7.5%
D.
8.75%
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HELLLPP ANY HELPS PLEASE I NEED HELP I AM RUNNING OUT OF TIME !!
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Answer: g/9
Step-by-step explanation: Cuz well it is what it is
PLS mark as brill
the denominator expresses the sum that is being divided
if f(x) = -x^3 + x^2 + x, find f(-2)
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Answer:
Hope this helps let me know
Answer:
-(-2)^3 + (-2)^2 + -2
2^3 -2^2 -2
8+4-2
=10
Simplify fully 4a sqaured +8a +2 I-a squared +9a -3
Answers
Answer:
The simplified expression is: [tex]3a^2 + 17a - 1[/tex]
Step-by-step explanation:
We are given the following expression:
[tex]4a^2 + 8a + 2 - a^2 + 9a - 3[/tex]
We can fully simplify the expression by combining the like terms. So
[tex]4a^2 + 8a + 2 - a^2 + 9a - 3 = 4a^2 - a^2 + 8a + 9a + 2 - 3 = 3a^2 + 17a - 1[/tex]
The simplified expression is: [tex]3a^2 + 17a - 1[/tex]
What is the volume of this prism?
23.9
47.7
9.0
4.5
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The area of the triangle below is 8.91 square inches. What is the length of the base?
2.2 in is the height will mark BRAINLIEST!!!!!!
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answer please.. need asap. algebra
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(xy)^3
3x^2y^3
Both are correct it’s just a different way of writing it
DUM89 THIS QUESTION IS FOR YOU
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Answer:
x+12 x-15 x-8 x-30 x+15
Step-by-step explanation:
Answer:
Step-by-step explanation:
9. (x+12)(x-3)/(x-3)= x+12
10. (x-15)(x+3)/(x+3)= x - 15
11. (x-8)^2/(x-8)= x - 8
12. (x-30)(x+3)/(x+3)= x - 30
13. (x+15)(x-2)/(x-2)= x + 15
I’ll give points and brainalist for answer / explanation
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Answer:
C. 678 in²Step-by-step explanation:
Area of circle: A = πr²foot to inch: 1 ft = 12 inGiven radius of concentric circles:
0.5 ft = 6 in1 ft = 12 in1.5 ft = 18 inThe shaded area:
Area of big circle - area of middle circle + area of small circleπ(18²) - π(12²) + π(6²) ≈ 678 in²Correct choice is C
A 12-sided die is rolled. The set of equally likely outcomes is \ 1.2.3.4.5.6.7.8.9.10.11.12) . Find the probability of rolling a 9
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Answer:
1/12
Step-by-step explanation:
Last year, 20% of all claims were for weather-related damage (excluding floods), with an average weather-related damage claim being $6,500. What is the expected value (loss or gain) per weather-related claim to Acasa for every customer who chooses plan B?
-$1,380
-$180
$100
$1,180
Acasa Insurance Company offers several plans for home insurance.
Plan A has a $700 yearly premium with a $3,000 deductible.
Plan B has a $1,200 yearly premium with a $1,000 deductible.
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Answer:
100
Step-by-step explanation:
i got it right on the test !!
Find the unknown length x in the right triangle, to the nearest tenth.
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Answer:
x = 13.5
Step-by-step explanation:
sin 40 = x/21
0.6428 = x/21
x = 13.5
sin 40=x/21
0.6428 = x/21
x = 13.5
Mr. Higgs measures the perimeter of a common shape. One of the sides is 8 centimeters and the perimeter is 24 centimeters. If all of the sides are the same length what shape does Mr. Higgs measure?
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Answer:
an equilateral triangle
Step-by-step explanation:
perimeter of an equilateral triangle is :
length of the side multiplied by 3
24 = 8 x 3
therfore its an equilateral triangle
please help! i’m giving 20 points. THANK YOU!
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Answer:
A. Distance KL = 7.36 m
B. Height ML = 4.25 m
C. The maximum height is 6.96 m
Step-by-step explanation:
A. Determination of distance KL
Hypothenus = KM = 8.5 m
Angle θ = 30°
Adjacent = KL =?
Cos θ = Adjacent / Hypothenus
Cos 30 = KL / 8.5
0.866 = KL / 8.5
Cross multiply
KL = 0.866 × 8.5
KL = 7.36 m
Thus, the distance is 7.36 m
B. Determination of height (ML)
Hypothenus = KM = 8.5 m
Angle θ = 30°
Opposite = ML =?
Sine θ = Opposite /Hypothenus
Sine 30 = ML /8.5
0.5 = ML / 8.5
Cross multiply
ML = 0.5 × 8.5
ML = 4.25 m
Thus, the height is 4.25 m
C. Determination of the maximum height.
Hypothenus = KM = 8.5 m
Angle θ = 55°
Opposite = ML =?
Sine θ = Opposite /Hypothenus
Sine 55 = ML /8.5
0.8192 = ML / 8.5
Cross multiply
ML = 0.8192 × 8.5
ML = 6.96 m
Thus, the maximum height is 6.96 m