Answer:
The dimensions are:
Length = 5m and Width = 4m
Or
Length = 4m and Width = 5m
Step-by-step explanation:
A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?
Area of a rectangle = Length × Width
= LW = 20 m²
Perimeter of a rectangle =
2L + 2W = 18 m
Hence:
LW = 20...... Equation 1
L = 20/W
2L + 2W = 18 ...... Equation 2
We substitute
20/W for L in Equation 2
2(20/W) + 2W = 18
40/W + 2W = 18
Multiply through by W
40 + 2W² = 18W
2W² - 18W + 40 = 0
2W² - 10W - 8W + 40 = 0
(2W - 8 )(W - 5) = 0
2W - 8 = 0
2W = 8 , W = 8/2 = 4m
W - 5 = 0
W = 5m
W = 4m or 5 m
Solving for L
When W = 5 m
L = 20/W
L = 20/5
L = 4m
When W = 4m
L = 20/W
L = 20/4
L = 5m
Therefore, the dimensions are:
Length = 5m and Width = 4m
Or
Length = 4m and Width = 5m
Write an algebraic expression for each situation for 22 divided by s
Answer:
s/22? i think thats one way
Step-by-step explanation:
two parallel roads, Elm Street and Oak Street, are crossed by a third, Walnut Street, as shown in diagram. The value of X is
Answer:
x=16
Step-by-step explanation:
2x + 33 = 5x - 15 (Alternate Interior Angles)
33 + 15 = 5x - 2x
48 = 3x
x= 48/3 = 16
help me asap ill give brainliest
Answer:
-6, -2, 1, 8
Step-by-step explanation:
Answer:
-6, -2, 1, 8
Step-by-step explanation:
Negatives have less value than positives, so that's why the negatives go first in the answer.
Perform the indicated operations:
4−1−4
05−2
0810
−7
−11
22
4−1−4
0ab
0cd
−7
88
110
a =
, b =
, c =
, d =
Answer:
A= -40
B= 16
C= 40
D= 50
Step-by-step explanation:
The values of the matrix is a = -40, b = 16, c = 40, d = 50.
What is a matrix?A matrix is an arrangement of numbers, expressions or symbols arranged in rows and columns as a rectangular array. These rows and columns define the size or dimension of a matrix.
For the given situation,
The matrix is
[tex]\left[\begin{array}{ccc}4&-1&-4\\0&5&-2\\0&8&10\end{array}\right] = \left[\begin{array}{c}-7&-11&22\end{array}\right][/tex]
The operation on matrix is
[tex]-8R2- > R2[/tex] and
[tex]5R3- > R3[/tex]
⇒ [tex]\left[\begin{array}{ccc}4&-1&-4\\0&-40&16\\0&40&50\end{array}\right] = \left[\begin{array}{c}-7&88&110\end{array}\right][/tex]
On comparing this equation with the given equation,
[tex]a=-40, b=16, c=40, d=50[/tex]
Hence we can conclude that the values of the matrix is a = -40, b = 16, c = 40, d = 50.
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(GIVING BRAINLIEST!!!)
0.5 g of salt is equal to how many milligrams?
Show all of your calculations.
Answer:
500 mg
Step-by-step explanation:
K H D B D C M (Kilo, Hecto, Deka, Base [meters, grams, etc.] Deci, Centi, Milli)
since you're using grams substitute G for B
K H D G D C M
you have 0.5 grams of salt, which will be G for grams. you want to convert it to milligrams, which is M. you will move the decimal over 3 spots in order to get from G to M, therefore you go from 0.5 grams to 500 milligrams. I hope this is helpful!
The puppy weighed 2 pounds when it was born. He has gained weight, but still weighs less than 11 pounds. How much weight could he have gained?
The food bill came to 22$. If you wanted to leave a 20% tip, how much money would you leave for the tip? (Very urgent!)
Answer:
it would come out to $4.40
Answer:
$4.40
Step-by-step explanation:
Another customer calls you wanting to know how much fence they should install around the circumference of their circular garden if they bought 204 feet² of topsoil. Assume the customer created a circle out of the soil and calculate the circumference in linear feet. Remember you’ll need to calculate the radius first, then use it to calculate the circumference.
The smiths bill at a restaurant is $85 how much money should Mr. Smith leave as a tip if he plans to tip 20%
Answer:
102.00
Step-by-step explanation:
If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip. If you want to leave a 18% tip, multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.
Answer: Mr. Smith should tip $17
Step-by-step explanation:
20% = 0.2
$85 × 0.2 = $17
Last week, Naomi set a new personal record for running the mile. She beat her previous record by 14 seconds. The time change from her previous record can be represented by.____
zero
a positive rational number
a negative rational number
brainlyist for the correct answer
.
Answer:
a negative rational number
Step-by-step explanation:
I'm pretty positive this is the answer, but its worded strange in my opinion
A shoe store owner uses a 15 percent markup on the merchandise. At what price will she sell shoes that were purchased for $35?
Answer:
$40.25
Step-by-step explanation:
35 increase 15% =
35 × (1 + 15%) = 35 × (1 + 0.15) = 40.25
PLEASE HELP WITHIN 1 hr
Someone help me (10 points each)
Answer:
132
Step-by-step explanation:
Answer:
132
Step-by-step explanation:
a bakery sold 123 chocolate cupcakes in a day, which was 41% of the total number of cupcakes sold that day. how many total cupcakes did the bakery sell that day?
Answer:
300
Step-by-step explanation:
took the test adn this is right now PLEASE MARK BRAINLIEST
Answer:
they sold 300 cupcakes
Step-by-step explanation:
please mark brainliest
hey i need that special someone, 7th grade, 13, somewhat a lil older could be fine,also imma a girl, but yk yeah hmu...
Answer:
mf you are asking this in high school.
Step-by-step explanation:
Last year, Kaitlin opened an investment account with $8600. At the end of the year, the amount in the account had decreased by 28%. (a) Fill in the blank to write the year-end amount in terms of the original amount. Write your answer as a decimal. Year-end amount = 1 x Original amount
Answer:
Kaitlin's account will have 72% of the money initially invested, that is, about $ 6,192.
Step-by-step explanation:
Given that last year Kaitlin opened an investment account with $ 8,600, and at the end of the year, the amount in the account had decreased by 28%, to determine the year-end amount in terms of the original amount both in whole numbers and in decimals, the following calculation must be performed:
100 - 28 = 72
8,600 x 0.72 = X
6.192 = X
Thus, Kaitlin's account will have 72% of the money initially invested, that is, about $ 6,192.
Do you have to add both of the bases in a triangular prism to find the volume? Someone please help!
Answer:
Yes,you have to add both of the bases in a triangle prism to find the volume.
Step-by-step explanation:
took the test.
Answer:
No, you need it onceStep-by-step explanation:
Volume of the prism:
V = bhYou use the area of the base once, multiply it by the height to find the volume
The answer is no.
Directions: Calculate the volume of the box in the diagram.
Answer:
6cm^3
Step-by-step explanation:
V = l*w*h
........... ....
Answer:
6
Step-by-step explanation:
3 times 2 =6
6 times 1 =6cm3 (cubed)
3.
Is this relation a function?
A.
Yes
B.
No
Answer:
Yes
Step-by-step explanation:
There are not multiple of the same Y-values so it is a function.
Which of the following functions shows the absolute value parent function
F(x) = [xl, vertically compressed?
O A. G(x) = 14x1
B. G(x) = 12.5x1
C. G(x) = x1
D. G(x) = 10x1
The function which represent the absolute value is G ( x ) = a|x| , where the value of a < 1
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = | x |
This function is symmetric with respect to the y-axis and has a V-shape, with the vertex at (0,0).
To vertically compress the function, we can multiply the function by a constant value less than 1.
And , the function that shows the absolute value parent function f(x) vertically compressed is:
G ( x ) = a| x |, where 0 < a < 1
The value of "a" determines the degree of compression of the function. The smaller the value of "a", the greater the degree of compression.
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value of -2 ( x + 5 )
divide 72 pens between Sarah and Amina is the ratio 4:5.
Answer:
Sarah gets 32 pens and Amina gets 40 pens
Step-by-step explanation:
72 pens
4/9×72 = 4×8 =32
Sarah gets 32 pens
5/9×72=5×8=49
Amina gets 40 pens
hope it helped
find the measure of the missing angle
Answer:
? ≈ 25.8°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan? = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14}{29}[/tex] , then
? = [tex]tan^{-1}[/tex] ( [tex]\frac{14}{29}[/tex] ) ≈ 25.8° ( to 1 dec. place )
Texas is home to about 70% of the 47 species of bats in the United States. About how many species of bats live in Texas?
Answer:
33
Step-by-step explanation:
70% of 47 is 33 species
Answer:
32.9
Step-by-step explanation:
In ΔSTU, the measure of ∠U=90°, TS = 41, UT = 9, and SU = 40. What is the value of the sine of ∠S to the nearest hundredth?
Answer:
Step-by-step explanation:
sinS = 9/41 ≅ 0.22°
An airplane on autopilot took 9 hours to travel 6552 kilometers. What is the unit rate for kilometers per hour?
Answer:
695 km and hour
Step-by-step explanation:
ZOOM IN IF YOU CANT SEE THE PIC I NEED HELP ASAP
Answer:
5/9
Step-by-step explanation:
Answer:
i think 5/9
Step-by-step explanation:
Destiny spent $12.00 of the $20.00 in her wallet.Write a decimal and percent that represents the fraction of the $20.00 that denstiny spent
Answer:
40% and 0.4
Step-by-step explanation:
a. True/False
To complete the square on the left side of the equation x2 - 6x = 9,
you must subtract the number 9 from both sides.
Answer:
True
Step-by-step explanation:
[tex]x^{2} -6x=9[/tex]
subtract [tex]9[/tex] from both sides
[tex]x^{2} -6x-9[/tex]
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Can someone please help me?:)
i dont know how to do this question can you please explain how to
Answer:
84
Step-by-step explanation:
the perimeter is basically all the way round a shape
P=2l+2d2﹣l2 for the diagnol