Answer:
The width is 7ft and the length is 17 ft
Step-by-step explanation:
Let w represent the width of the room and L represents the length of the den.
Given that:
caseys den is 10feet longer than it is wide
Then;
w + 10 = L ---- (1)
The area of the den = 119 ft²
Area = w × L
119 = w × L ---- (2)
From equation (1);
let w = L - 10.
Now we can replace the value of w into equation (2)
i.e.
(L - 10) × L = 119
L² - 10L - 119 = 0
(L + 7) ( L - 17) = 0
L + 7 = 0 or L - 17 = 0
L = - 7 ft or L = 17 ft
Recall that:
w = L - 10
w = -7 - 10 or w = 17 - 10
w = -17 or w = 7 ft
The area of the den can now be:
Area = -17 ft × - 7ft or 17ft × 7 ft
Area = 119 ft² or 119 ft²
Since it is ideal to use the positive integer,
Then the width is 7ft and the length is 17 ft
The sum of the numbers X, Y, and Z is 40. The ratio of X to Y is 1:2 and the ratio of Y to X is 2:5. What is the value of Y?
Step-by-step explanation:
Since X : Y = 1 : 2, X = 0.5Y.
Since Y : Z = 2 : 5, Z = 2.5Y.
We have X + Y + Z = 4Y = 40. Hence Y = 10.
[tex]y=10[/tex]
Ratio:A ratio in mathematics shows how many times one number is contained in another. For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio of 4:3). The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8 (or 3:4) (or 4:7).A ratio can have any number of quantities, such as counts of people or things or measurements of length, weight, time, etc. Both numbers must be positive in most situations.Solution -
Given -
[tex]x+y+z=40\\x:y=1:2\\y:x=2:5[/tex]
To find - [tex]y[/tex]
Since,
[tex]x:y=1:2,x=0.5y\\y:x=2:5,z=2.5y\\x+y+z=4y+40\\y=10[/tex]
Therefore, [tex]y=10[/tex].
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determine the domain on the following graph
Answer:
(-3,7)
Step-by-step explanation:
What is 1/4 divided by 9/10 rewritten with an important fraction?
Step-by-step explanation:
[tex]{:}\hookrightarrow\sf \dfrac {1}{4}\div \dfrac {9}{10}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {1}{4}\times \dfrac {10}{9}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {10}{36}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {5}{18}[/tex]
Then she needs to find her "heart rate reserve" h by subtracting her average resting heart rate r from her maximum heart rate m. Write an equation she can use
Answer:
r-m=h
Step-by-step explanation:
Solve the system of equations y = -2x - 9 and -x + 3y = 8 using the substitution method.
Answer: (-5,1)
Step-by-step explanation: Explanation in picture.
Jasmine has taken an online boating course safety course and now completing her end-of-course exam . As she answers each question , the progress bar at the bottom of the screen shows what portion of the test she has finished. She has just completed Question 16 and the progress bar shows she is 20% complete. How many total questions are on the test ?
Answer:
80
Step-by-step explanation:
20 percent is 16 questions
then 100/20=5
5 times 16 is 80
One fifth of a number is equal to triple that number less 28.
Let the unknown number be x. Write this word problem as an equation using the variable x.
Answer:
x=10
Step-by-step explanation:
x=(3x-28)5
-14x=-140
x=10
473 heartbeats in 5 1/2 minutes
Answer:
86 heartbeats per minute
Step-by-step explanation:
i assume that's your question?
the number of heartbeats per minute is 86.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, 473 heartbeats in [tex]5\frac{1}{2}[/tex] = 11/2minutes
Number of heart beats per minute = Total number of heart beats ÷ Number of minutes
= 473÷ 11/2
= 473×2/11
= 43×2
= 86 beats per minute
Therefore, the number of heartbeats per minute is 86.
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PLS HELP I'LL TRY TO GIVE BRAINLIEST
Solve each equation and prove that your answer solves the original equation.
25 - 3x = 40 1/3x - 12 = -3
Answer:
25 - 3x = 40 x=-5
1/3x - 12 = -3 x=27
Step-by-step explanation:
25-3x=40 -> subtract 25 each side .... -3x=15 -> divide -3 each side...... x= -5
Which triangle is congruent to triangle ABC?
A rectangle is located on a coordinate plane. If the ordered pair (t, u) represents a vertex of this rectangle, which algebraic representation describes the effect of translating the rectangle 8 units up and 3 units left?
Answer: (t,u) -> (t-3, u+8)
Step-by-step explanation: Up is the y value and left is the x value.
In the point ( t,u) t is the x value and u is the y value.
Moving to the left, you subtract the value and moving up you add the value.
The answer would be (t, u) → (-t – 3, u + 8)
two angles from a linear pair. the measure of one angle is 2/3
Answer:
First angle = 117 degrees.
Second angle = 63 degrees.
Step-by-step explanation:
Sydney purchased a used car for $3,500. Her state charges a 5% tax for the car, $85 for registration, $60 for a new title certificate, and $35 for a state safety and emissions inspection. How much does Sydney need to pay for these extra charges, not including the price of the car?
Answer:
$355
Step-by-step explanation:
85+60+35=180
5% of 3,500 is 175
175+180=355
so if i did the math right that means the answer is $355
Hopefully the right answer
1) Suzanne will pay $14 to get her hair cut. She wants to leave the hairdresser a 15% tip. What is the total cost of the haircut, including tip?
Answer:
$16.10
Step-by-step explanation
14.00x .15=2.10
14.00+2.10=16.10
Two vertical angles have measures of (4x + 8) and (7x -22). What is the measure of the two angles?
Answer:
48
Step-by-step explanation:
Vertical angles are congruent
7x - 22 = 4x + 8 {Add 22 to both sides}
7x = 4x + 8 + 22
7x = 4x + 30 { subtract 4x from both sides}
7x - 4x = 30
3x = 30
x = 30/3
x = 10
4x + 8 = 4*10 + 8
= 40 + 8
= 48
7x - 22 = 7*10 - 22
= 70 - 22
= 48
Please help 15 points!!!
Answer:
she earns $10 per hour, and can earn $1 in 6 minutes (60 min divided by $10)
Step-by-step explanation:
Find the perimeter of the image below
Answer:
46
Step-by-step explanation:
Answer:
26.1
Step-by-step explanation:
Took the same test lol
A gym membership costs $25 to join, plus a $12 monthly fee. If Adam has spent $133 on his gym membership this year, for how many months has he been a member?
Answer:
HELP ME I GOT THE SAME QUESTION AND I'M DUMB :(
Step-by-step explanation:
Maggie has three pages of homework to do.If she can do 1/4 of a page in one hour, how many will her homework take
Answer:
The answer is 12 hours.
Step-by-step explanation:
If she completes 1/4 of a page in an hour completing one page will take her 4 hours after that you multiply it by 3 and get the total of 12 hours that is takes for her to do her homework
Answer:
the answer is 12 :)))))
Anton's mechanic charged $75 for a radiator and $50 per hour for labor. The total cost to install the radiator was $325. Approximately how long did it take the mechanic to install the radiator?
Answer: 5 hours
Step-by-step explanation: because 50 multiply by 5 is 250 and more 75 for radiator
A 2-column table with 4 rows. Column 1 is labeled Store with entries A, B, C, D. Column 2 is labeled Advertised Bread Prices with entries 3 loaves for 5 dollars and 94 cents, 4 loaves for 7 dollars and 80 cents, 5 loaves for 10 dollars and 5 cents, 6 loaves for 12 dollars and 12 cents.
Camillo is making gourmet peanut butter and jelly sandwiches for a food challenge.
PLS HELP ASAP!!What is the unit price of a loaf of bread at each store?
Store A:
Store B:
Store C:
Store D:
Answer:
Store A:
✔ $1.98 per loaf
Store B:
✔ $1.95 per loaf
Store C:
✔ $2.01 per loaf
Store D:
✔ $2.02 per loaf
Step-by-step explanation:
Which rational number is also an integer
A. - 86 / 6
B. - 65/13
C. 43/5
D. 70/25
This is because 65/13 = 5 when using a calculator or long division. There are no fractional or decimal parts to the result 5, so 5 is an integer.
Something like 86/6 = 14.333 approximately showing the result is not an integer. The same applies to choice C and choice D as well.
i really need help- eeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
-2, -5, 2, then 5
Step-by-step explanation:
Answer:
-5, -2, 2, 5
Nina’s dog weighed 23.54 pounds last year. This year, her dog weighs 25.38 pounds. How many pounds did her dog gain this past year? PLS HELP ME!!!!!!!!!
Answer:
1.84
Step-by-step explanation:
25.38-23.54
3x+2y=8
5x+2y=12
what is the solution of the system of equations shown above?
The value of x=2 and y=1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
3x+2y=8
5x+2y=12
Now, solving both using method of Elimination Method
3x - 5x = 8-12
-2x= -4
x = -4/ -2
x= 2
and, 3x+ 2y = 8
3(2) + 2y = 8
6 + 2y = 8
2y = 8-6
2y = 2
y = 2/2
y= 1
Hence, the value of x=2 and y=1.
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can someone explain how to solve this?
What is the quotient 5/8 + 1/5?
Answer:
33/40
Step-by-step explanation:
cross multiply
5 x 5 = 25
8 x 1 = 8
25 + 8 = 33 (our numerator)
8 x 5 = 40 (our least common denominator)
help me. please math
Answer:
$16
Step-by-step explanation:
60 + 4 = 64
64 ÷ 4 = 16
CHECK:
16 x 4 = 64
64 - 4 = 60
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Given:
A figure.
To find:
The values of x and y.
Solution:
We know that, in a right angled triangle,
[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin 60^\circ =\dfrac{x}{16}[/tex]
[tex]\dfrac{\sqrt{3}}{2} =\dfrac{x}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{\sqrt{3}}{2}\times 16=\dfrac{x}{16}\times 16[/tex]
[tex]8\sqrt{3}=x[/tex]
And,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos 60^\circ =\dfrac{y}{16}[/tex]
[tex]\dfrac{1}{2}=\dfrac{y}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{16}{2}=y[/tex]
[tex]8=y[/tex]
Therefore, the missing side lengths are [tex]x=8\sqrt{3}[/tex] and [tex]y=8[/tex].
Please help me. I will
Mark whoever is first!!!
Answer:
750
Step-by-step explanation:
3000 divided by 4 =
750
Answer:
750 boxes
Step-by-step explanation: