The radio station in North Pole, AK plays Christmas songs all day and night from Thanksgiving through Christmas. They play 12 per hour for 15 hours a day, and 8 songs per hour for the rest of the day. They like to have a mix of traditional and modern songs with a relationship of 9 traditional songs to every 5 modern songs. How many traditional songs and how many modern songs will they play in one day?
Answer:
Traditional = 162
Modern = 90
Step-by-step explanation:
Given that:
12 songs per hour for 15 hours
8 songs per hour for the rest of the day ; (24 - 15) = 9 hours ;
That is ; 8 songs per hour for 9 hours
Total number of songs played per day :
(12 * 15) + (8 * 9) = 252 songs
If songs are mixed using the ratio 9:5 (traditional : modern)
Traditional songs :
(9 * 252) / (9 + 5) = 162
Modern songs :
(5 * 252) / (9 + 5) = 90
Jessica is looking at the blueprints for her new apartment. In the blueprints,
the length of the master bedroom is 2.5 inches. What is the actual length of
the master bedroom in feet?
Answer: 20 feet
Step-by-step explanation: you want to do 2.5 x 8
Can someone solve this problem with work please? :)
the air pressure P is inversely proportional to the altitude h. write the related variation equation
Answer:
For a confined, constant volume of gas, the ratio
P
T
is therefore constant (i.e.,
P
T
=
k
). If the gas is initially in “Condition 1” (with P = P1 and T = T1), and then changes to “Condition 2” (with P = P2 and T = T2), we have that
P
1
T
1
=
k
and
P
2
T
2
=
k
, which reduces to
P
1
T
1
=
P
2
T
2
Of a number is added to the numerator of 3/7 and twice that number is added to the denominator of 3/7, the resulting fraction is equivalent to 10/21. Find the number
Answer:
x = 7
Step-by-step explanation:
Let the number added to the numerator is x.
ATQ,
[tex]\dfrac{3+x}{7+2x}=\dfrac{10}{21}[/tex]
Cross multiplying each side,
[tex]\dfrac{3+x}{7+2x}=\dfrac{10}{21}\\\\63+21x=70+20x\\\\21x-20x=70-63\\\\x=7[/tex]
Hence, the person that is added is 7.
WILL MARK BRAINLIEST !!!
find the indicated value for each of the figures shown or described
Answer:
10. 9
In the first question we can solve using the Pythagorean theorem. It states that the hypotenuse in a right triangle or the longest side of the triangle, squared is equal to the other 2 sides, squared. Its expressed as so: C^2 = A^2 + b^2 where c is the hypotenuse and a and b are the other sides oft eh triangle.
Therefore,
15^2 = 12^2+x^2
225=144+x^2
81=x^2
x=9
__________________________________________________________
11. x=12
In this figure, there are 2 right triangles on the sides of the square. If we can find the lengths of the base of both triangles then we can find x using the Pythagorean theorem. the total base is 21 and the square is 11. 11+a+b=21. We can assume that both triangles are congruent and therefore we can solve this equation:
11+a+b=21
a+b=10
5+5=10
b=5
a=5
The bases of the two triangles are 5 and the hypotenuse is 13. Now we can solve using the Pythagorean theorem:
c^2 = a^2+b^2
13^2=5^2+x^2
169=25+x^2
144=x^2
144= 12 x 12
x=12
__________________________________________________________
12.
The diagnol of a triangle is the hypotenuse and since the length is the square root of 3, we have all the information we need.
c^2 = a^2+b^2
2^2 = (square root of 3)^2+b^2
4=3+b^2
1=b^2
b=1
Step-by-step explanation:
4 • (2)3 equals???????
Answer:
24
Step-by-step explanation:
4*6=24
(8+14)+0=8+14
wich property ?
Answer:
Property of Addition
Step-by-step explanation:
Ahmad’s father is 4 times as old as Ahmad. After 5 years, father will be three times as old as Ahmad. Find their present ages
The present age of Ahmed and Ahmed's father is 12 and 36 respectively.
Step-by-step explanation:
Given : Ahmed's father is thrice as old as Ahmed. After 12 years, his age will be twice that of his son.
To Find : Their present age ?
Solution :
Let the Ahmed's age be 'x'.
Ahmed's father is thrice as old as Ahmed.
i.e. Ahmed's father age is '3x'
After 12 years, his age will be twice that of his son.
i.e. 3x+12 = 2(x+12)3x+12=2(x+12)
Solving the equation,
3x+12 = 2x+243x+12=2x+24
x=12x=12
So, Ahmed's age is 12.
Ahmed's father age is 3\times 12=363×12=36
Therefore, The present age of Ahmed and Ahmed's father is 12 and 36 respectively.
There is 3 times in space of 4 times please mark as brainlistExpress 30 as power with base 6
Answer:
30 ÷ 6 =5 so
5 is to the power 6
HELP HAVING A BAD DAY
Brandon decided to make his own hand sanitizer.
To be effective, hand sanitizer should contain 60% alcohol.
How much water does Brandon need to make 250ml of hand sanitizer?
I WILL REWARD BRAINLIEST FOR CORRECT ANSWER
Answer:
I think he might need 100ml.
Step-by-step explanation:
Brandon needs to use 100 ml of water to make 250 ml of hand sanitizer.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
To save money, Brandon made his own hand sanitizer. Hand sanitizer needs 60% alcohol to be effective.
We have to determine the amount of water to manufacture 250ml of hand sanitizer.
To make 250ml of hand sanitizer with 60% alcohol, Brandon needs to use 250ml x 60% = 150ml of alcohol.
Since the total volume of the hand sanitizer is 250ml,
Brandon needs to use 250ml - 150ml = 100ml of water to make 250ml of hand sanitizer.
Therefore, he needs to use 100 ml of water to make 250 ml of hand sanitizer.
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A TV salesman will make 18% commission on the profit of every TV he sells. If the electronics store buys a TV for $600 and the salesman sells the TV for $899, how much is his commission?
Answer:
Commission= $53.82
Step-by-step explanation:
First, we need to calculate the gross profit of the sale:
Gross profit= sale price - total cost
Gross profit= 899 - 600
Gross profit= $299
Now, the commission made by the seller:
Commission= gross profit*commission rate
Commission= 299*0.28
Commission= $53.82
-3x + 1 – 3 – 6x what is the awnser
Answer:
-9x-2
Step-by-step explanation:
Answer:
-9x -2
Step-by-step explanation:
-3x + 1 – 3 – 6x
Combine like terms
-3x -6x +1 -3
-9x -2
Which expression represents a negative number?
A. -4/5 x (-8/9)
B. 4/5 x 8/9
C. -4/5 x 8/9
D. -9/8 x (-3/4)
Spanish
La Sra. Claus teje
guantes para
los elfos. Ella teje 32
horas al
semana y completa
112 pares
de mitones. A ese
ritmo, ¿cómo
¿Cuántos guantes
individuales tiene
ella?
teier por hora?
Answer:
la respuesta es 28 porque 32 dividido por 112 es 28
Graph the linear equation y= -1/2x-1
Answer:
thetht
Step-by-step explanation:jtejr
Evaluate this expression when x is 50
-6x+150
Answer:
-150
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
-6x + 150
x = 50
Step 2: Evaluate
Substitute in x: -6(50) + 150Multiply: -300 + 150Add: -150Cookies are on sale! Today each cookie costs \$0.75$0.75dollar sign, 0, point, 75 less than the normal price. Right now if you buy 777 of them it will only cost you \$2.80$2.80dollar sign, 2, point, 80!Write an equation to determine the normal price of each cookie
Answer:
The equation to determine the normal price of each cookie is
7(x - 0.75) = 2.80
The normal price of each cookie = $1.15
Step-by-step explanation:
Let us represent the normal price of a cookie as : x
We are told that:
Today each cookie costs \$0.75less than the normal price.
The price of a cookie today is
x - 0.75
Right now if you buy 7 of them it will only cost you \$2.80$
Hence:
7(x - 0.75) = 2.80
Solving for x
7x - 5.25 = 2.80
7x = 2.80 + 5.25
7x = 8.05
x = 8.05/7
x = $1.15
The normal price of each cookie = $1.15
Answer:
$ 1.15
Step-by-step explanation:
7(c-0.75) = 2.80 is the equation
$1.15 is the total for C
I did this khan before and this is correct
Hope this helps!
;)
Amitas kitchen is rectangular with an area of 3 3 4 square meters the width of the kitchen is 1 1 2 meters what is the length in meters of amitas kitchen
Answer:
2 1/5 meters
Step-by-step explanation:
Given that:
Area of kitchen = 3 3/4
Width of kitchen = 1 1/2
Length = x
Recall : Area of rectangle = Length * width
Area of kitchen = length * width
3 3/4 = x * 1 1/2
15 / 4 = x * 3/2
x = 15/4 ÷ 3/2
x = 15/4 * 2/3
x = 30/12 = 2 6/30
x = 2 1/5
Convert 6600 milliliters into fluid ounces. Round your answer to the nearest whole
number.
Answer:
223.2725
Step-by-step explanation:
223.2725
Find the measure of each acute angle.
(19x − 1)∘ = and (13x − 5)∘ =
Answer:
34 degrees; 56 degrees
The measures of each of the acute angles are 56 degrees and 34 degrees.
Step-by-step explanation:
The measures of a triangle add up to 180 degrees.
One angle has the measure of 90 degrees since it is marked as a right angle.
Using this info we can create an equation to solve for x.
(19x-1)+(13x-5)+90=180
Now solve for x.
32x-6+90=180
32x=96
x=3
Now to find the measure of each angle subsitute the value of x.
(19x-1)=19*3-1=56 degrees
(13x-5)=13*3-5=34 degrees
The measures of each of the acute angles are 56 degrees and 34 degrees.
Answer:
19x - 1 ➡ 19 × 3 - 1 = 56°
13x - 5 ➡ 13 × 3 - 5 = 34°
Step-by-step explanation:
The given triangle is a right triangle which means one of the angle has a measurement of 90° and since the sum of interior angles in a triangle is equal to 180° the sum of other two angles must be 90°
19x - 1 + 13x - 5 = 90 add like terms
32x - 6 = 90 add 6 to both sides
32x = 96 divide both sides by 32
x = 3
19x - 1 ➡ 19 × 3 - 1 = 56°
13x - 5 ➡ 13 × 3 - 5 = 34°
4(sin⁴ 60° + cos⁴ 60°) = 1 + 3(sin²60° - Cos² 60°)
Step-by-step explanation:
4(sin⁴ 60° + cos⁴ 60°) = 1 + 3(sin²60° - Cos² 60°)
sin 60°=[tex]\frac{\sqrt{3} }{2}[/tex]
Cos 60°= [tex]\frac{1}{2}[/tex]
[tex]4(( \frac{\sqrt{3} }{2}) ^{4} +(\frac{1}{2}) ^{4} )=1+3(( \frac{\sqrt{3} }{2}) ^{2} +(\frac{1}{2}) ^{2} )[/tex]
then do it by the calculator and they will be equal 2.5
I hope it will help
what is the value of f
Answer:
f = 54°
Step-by-step explanation:
54° and f are vertical angles and are congruent, thus
f = 54°
Plzzz someone help I’m special
Order these numbers from least to greatest.
3.325, 3.32, 335, 7320
Answer:
3.32,3.325,335,7320
Answer:
3.32, 3.325, 335, 7,320
Hope it helps
Step-by-step explanation:
If the price is the same for each yard, how much money would 12 yards of fabric cost? $18.00 $21.00 $24.75 $26.25
Answer:
The answer is $21
Step-by-step explanation:
The amount of money for 12 yards of fabric is $ 21.00
Given data:
To determine the cost of 12 yards of fabric, we can use the information provided in the table. We observe that the cost of fabric increases linearly with the number of yards.
The table shows that 3 yards of fabric cost $5.25. To find the cost per yard, we divide the total cost by the number of yards:
$5.25 / 3 = $1.75
On simplifying the equation:
Now we can use this cost per yard to calculate the cost of 12 yards:
$1.75 × 12 = $21.00
Hence, 12 yards of fabric would cost $21.00.
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The complete question is attached below:
The table below shows the amount of money needed to buy certain amounts of fabric.Fabric Cost
Yards of Fabric
Total
Cost
3
$5.25
6
$10.50
9
$15.75
12
?
If the price is the same for each yard, how much money would 12 yards of fabric cost?
$18.00
$21.00
$24.75
$26.25
pleaseee help me answer this!!! it is my last question help!!!
-write each product using an exponent 6 x 6 =
The product is expressed as an exponent as 6 x 6 = 6².
Given data:
To write the product 6 x 6 using an exponent, we can express it as 6².
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
When we multiply a number by itself, we can represent the repeated multiplication using an exponent. In this case, we have 6 multiplied by 6, which is the same as saying 6 raised to the power of 2 (6²).
The exponent 2 indicates that we are multiplying 6 by itself 2 times.
Hence, the product 6 x 6 can be written as 6².
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Which of the following equations Are a linear function.
Answer:A IS THE LINEAR FUNCTION
Step-by-step explanation: NO NEED FOR EXPLANATION
which is a mathematical property shown here
8(x+7)
1 commutative property
2 distributive property
3 identity of addition
a. (x+2) (x2 +x+2) + 2(x3 + x2)
Answer:
3x³ + 5x² + 4x + 4
Step-by-step explanation:
Given
(x + 2)(x² + x + 2) + 2(x³ + x²)
To expand the product, each term in the second factor is multiplied by each term in the first factor, that is
x(x² + x + 2) + 2(x² + x + 2) + 2(x³ + x²) ← distribute the parenthesis
= x³ + x² + 2x + 2x² + 2x + 4 + 2x³ + 2x² ← collect like terms
= 3x³ + 5x² + 4x + 4