Answer:
The width of Dana's living room is 16 feet.
Explanation:
Because Dana's living room is rectangular and we are given the length of one side and the length of the diagonal we can use the Pythagorean Theorem to solve this problem.
For a right triangle which the length, width and diagonal make up the Pythagorean Theorem states:
a
2
+
b
2
=
c
2
Let the length of 12 be
a
and because the diagonal is the hypotenuse of the triangle (the side opposite the right angle) we let
c
be 20. Substituting and solving gives:
12
2
+
b
2
=
20
2
144
+
b
2
=
400
144
−
144
+
b
2
=
400
−
144
0
+
b
2
=
256
b
2
=
256
√
b
2
=
√
256
b
=
16
Determine whether the graph represents a function. Explain.
Answer:
it does not represent a function
Step-by-step explanation:
it is not liner
Answer:yes
Step-by-step explanation:
each x value has one y value
Find two integers whose sum is 2 and product is -3
Answer:
x = -1 and y = 3 x = 3 and y = -1
Step-by-step explanation:
Would it be better to have a higher interest rate on a loan or on an investment? Explain.
Answer:
When a company borrows money it is better to have a low interest rate. The lower the interest rate, the less amount of money the company has to pay back as interest on the loan.
Step-by-step explanation:
Is it better to have a higher interest rate when a company borrows money or to have a lower interest rate?
what is 3/4b>15 solution
The solution set of the given inequality is {b| b > 20}.
How to solve the inequality?Here we have the inequality (3/4)b > 15 and we want to solve it. To do so, we just need to isolate the variable b.
And to do it, we can work with this like we would do with any equation, we can just multipy both sides by (4/3) so we get:
(4/3)*(3/4)*b > 15*(4/3)
b > 20
Then the solution set can be written as {b| b > 20}
That is the set of all values larger than 20.
Learn more about inequalities at:
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May someone help me with this :) it’s easy
Answer:
b) 35/100
c) 0.35
Step-by-step explanation:
2)
[][][][][][][]Answer:
3. [tex]\frac{20}{100}[/tex] and [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Someone already answered b, c, and 2 so here's the third answer :)
10:50 is a ratio, which can be rewritten as [tex]\frac{10}{50}[/tex]
To write an equivalent fraction, we can either multiply or divide.
Multiplying both the numerator and denominator by 2 gets us [tex]\frac{20}{100}[/tex].
Dividing both the numerator and denominator by 10 gets us [tex]\frac{1}{5}[/tex].
Hope this helps!
You invested $600 in a shark tank invention and received $180 in interest after four years. What had been the interest rate? Do NOT round your answer!
Layla was out at a restaurant for dinner when the bill came. Her dinner came to $9. After adding in a tip, Before tax, she paid $10.80. Find the percent tip.
Answer: 12%
Step-by-step explanation:
Xavier fills a rectangular prism with 12-centimeter cubes. The base of the prism measures 5 centimeters by 3 centimeters, and the height of the prism is 6 centimeters.
Which statement is TRUE?
A: Xavier will use 90 cubes to fill the prism
B: Xavier will use 60 cubes on the bottom layer
C: It will take six layers of cubes to fill the prism
D: The prism will have a perimeter of 15 centimeters around the base
Answer:
I tried A.
Step-by-step explanation:
It's all like a fraction & multiplication type answer im if wrong correct me!
Answer:
i feel like it would be B
Step-by-step explanation:
Hopefully this helps!!!
PLEASE HELP ANSWER ASAP I WILL GIVE BRAINLIEST
Mr. Peery has saved $150 to buy an iPhone 12. With his cell phone plan he can buy a new iPhone 12 for $200. If he can only save $10 a week how many weeks will it take for him to get enough money to buy the phone?
Create an equation for the problem here. Don't put any spaces.
How many weeks will it take?
Answer:
Let number of weeks be x
10x = 200-150
x=50/10
x=5
Thus it would take him 5 weeks to buy himself a iPhone12
Hope it helps
Expand and simplify
(x – 3)(2x - 2)
Answer:
2x^2 - 8x + 6
Step-by-step explanation:
2x*x+(-3x*2x)+(x*(-2))+6=
2x^2-8x+6
Find the volume of a cylinder with a radius of 3 cm and a height of 7 cm. Round to the nearest hundredth.
Answer:
197.82
Step-by-step explanation:
The formula for cylinder volume is
π * r^2 * h
r is radius h is height
3.14 * 3^2*7
3.14 * 9 * 7
28.26*7
197.82
The volume is 197.82
earth takes 6 seconds to travel 114 miles around the sun. How fast does the earth travel around the sun in miles per second
Answer: 19
Step-by-Step explanation:
So I am assuming that you should divide 114 divided by 6 which will leave you with the answer of 19.
You started the trail with 1400lbs. of food. You now have 1182lbs. of food. What percentage of your starting amount do you have left?
Answer:
84.5%
Step-by-step explanation:
1400 - 1182 = 218 You are less 218 lbs. of food.
218 ÷ 1400 = 15.5% You are less 15.5% lbs. of food.
100% - 15.5% = 84.5% You have 84.5% lbs if food left.
Find the equation of the line with gradient 3 passing through point (2,5)
Given:
A line passing through point (2,5) with gradient 3.
To find:
The equation of the line.
Solution:
Point slope form: if a line passes through the point [tex](x_1,y_1)[/tex] and m is the slope or gradient, then the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=3(x-2)[/tex]
[tex]y-5=3(x)+3(-2)[/tex]
[tex]y-5=3x-6[/tex]
Adding 5 on both sides, we get
[tex]y=3x-6+5[/tex]
[tex]y=3x-1[/tex]
Therefore, the equation of the line is [tex]y=3x-1[/tex].
Scott can you help I am confused... Naviah buys at least 8 but no more than 12 gallons of gas each week. The price of gas ranged from 2.25 to 2.50 per gallon each week. Write a compound inequality to model all of the possibilities amount of money (m) Naviah spends on gas each week.
Answer:
Amount of money Naviah spends each week is ranged from 18 to 30
( 18 ≤ m ≤ 30 )
Step-by-step explanation:
Let Naviah buys gas each week = x gallons
As given,
Naviah buys at least 8 but no more than 12 gallons of gas each week.
⇒8 ≤ x ≤ 12
Now,
Let the price of gas each week = p
As given,
The price of gas ranged from 2.25 to 2.50 per gallon each week.
⇒2.25 ≤ y ≤ 2.50
Now,
Amount of money spend (m) = (Total gas buy)(Price of gas)
= xy
⇒ m = xy
Now,
we have
8 ≤ x ≤ 12 and 2.25 ≤ y ≤ 2.50
Multiply both the inequality , we get
8×2.25 ≤ x.y ≤ 12×2.50
⇒18 ≤ xy ≤ 30
⇒18 ≤ m ≤ 30
∴ we get
Amount of money Naviah spends each week is ranged from 18 to 30.
There of the ABCD are given. fine the coordinates of point D. A(3, 6) B(6,3) D(x, y)
Answer:
A. (3,2) . I recommend using desmos to find the coordinates
9514 1404 393
Answer:
A. (3, 2)
Step-by-step explanation:
The midpoints of the diagonals are the same point, so you have ...
X = (A +C)/2 = (B +D)/2
A +C = B +D . . . . . . . multiply by 2
A +C -B = D . . . . . . . subtract B
The coordinates of D are ...
D = (3, 6) +(6, 3) -(6, 7) = (3+6-6, 6+3-7)
D = (3, 2)
Quien me puede ayudar es U R G E N T E The GCF of 54, 76 and 114 is: 2 6 4 9 1 The GCF of 35, 50 and 120 is: 2 4 5 25 2 Find the GCF of 12, 16 and 20 1 If the GCF of 56 and 120 is c, find the result of 24\div c24÷c
Responder:
a) 2
b) 5
c) 4
d) 3
Explicación paso a paso:
Debemos encontrar el MCD de los siguientes números
a) 54, 76, 114
encontrar los factores primos de cada
54 = 2 * 3 * 3 * 3
76 = 2 * 2 * 19
114 = 2 * 2 * 2 * 2 * 3 * 3
De los factores anteriores, podemos ver que solo 2 es común a todos los factores, por lo tanto, el MCD de 54, 76 y 114 es 2
b) Para 35, 50 y 120
35 = 5 * 7
50 = 2 * 5 * 5
120 = 2 * 2 * 2 * 3 * 5
De los factores anteriores, podemos ver que solo 5 es común a todos los factores, por lo tanto, el MCD de 35, 50 y 120 es 5
c) Para 12, 16 y 20
12 = 2 * 2 * 3
16 = 2 * 2 * 2 * 2
20 = 2 * 2 * 5
De los factores anteriores, (2 * 2) es común a todos ellos, por lo tanto, el MCD de 12, 16 y 20 es 4
d) Para 56 y 120
56 = 2 * 2 * 2 * 7 = 8 * 7
120 = 2 * 2 * 2 * 3 * 5 = 8 * 3 * 5
De los factores anteriores, podemos ver que solo 8 es común a todos los factores, por lo tanto, el MCD de 56 y 120 es 8.
Por tanto, c = 8
Necesario
24 / c
= 24/8
= 3
Por tanto, el resultado de 24 / c es 3
Wesley drives 12 miles to work every day. During his drive to work he sees 18 billboards. Which ratio shows miles driven to billboards seen by Wesley?
Answer:
2:3
Step-by-step explanation:
divide both by 6.
(Solving equations by addition)
Can somebody plz help answer these questions like what to solve it. Thanks :D
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST
PLZZZ HELP I WILL GIVE BRIANLY
What is the equation of the additive relationship represented by this table?
Enter your answer by filling in the box using an integer.
x y
9 5
12 8
Answer:
x-4=y
Step-by-step explanation:
9-4=5
12-4=8
Answer:
9,5
step-by-step explanation:
Derrick needs to sell a minimum of 100 orders each month to make it into the sales winners circle. He has already sold 45 orders this month. He still needs to sell s more orders. Which inequality can be used to find the possible values for s? s−45>100
s−45<100 s+45≤100 s+45≥100
Answer:
s+45≥100
Step-by-step explanation:
"A minimum of" means either the same amount or more. So, the total amount he sells (s + 45) needs to be greater than or equal to 100.
¿El 48 es multiplo de 2? _________ ¿por que?
ayuda es para hoy
Answer:
si 48 es múltiplo de 2 ya que al multiplicar 2. 24 da 48
GEOMETRY The sum of the measures of the angles of a trapezoid is 360 degrees. Find the missing measure
Answer:
70
Step-by-step explanation:
Add them all first
100+110+80=290
Then subtract
360-290
pls help me i need to write this for an exam
Describe how you determine the sign of the sum,difference,product,and quotient of two integer numbers
Answer:
i would ask someone else sorry
Step-by-step explanation:
what is the answer for
k + 0 = k
Answer: k=1 which equals 1k.
Step-by-step explanation:
k+0=k
k is really 1k
so the real equation is 1k+0=1k because 1k+0 means nothing really it's still 1k.
Lisa's weekly pay increases from $525 to $546
Calculate her percentage pay increase.
The percentage pay increase of Lisa's weekly will be 4%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Lisa's weekly pay increased from $525 to $546. Then the percentage pay increase will be given as,
P = [(546 - 525) / 525] x 100
Simplify the expression, then we have
P = [(546 - 525) / 525] x 100
P = (21 / 525) x 100
P = 0.04 x 100
P = 4%
The percentage pay increase of Lisa's weekly will be 4%.
More about the percentage link is given below.
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What is the solution to the following system of equations:
7x+2y=24
8x+2y=30
Answer:
(6,-9)
Step-by-step explanation:
Answer:
x=6 y=-9
Step-by-step explanation:
7 times m help helpp
- 11 2/3 x (-4 1/5)=?
Which of the values in the set {1, 2, 3, 4} is a solution to the equation 3x + 3 = 15? (4 points) a 1 b 2 c 3 d 4
Answer:
3
Step-by-step explanation:
Answer: The answer is 4
Step-by-step explanation:
the x is equal to an exponent. Since 3x4 equals 12, and 12+3 equals 15
