Answer:
The system of equations 3x + 7y = 80 and 6x + 3y = 63.75 can be used to determine the cost of one CD and one DVD.
Step-by-step explanation:
Given that:
Cost of 3 CDs and 7 DVDs = $80
Cost of 6 CDs and 3 DVDs = $63.75
Let,
x be the cost of one CD
y be the cost of one DVD
According to given statement;
3x + 7y = 80
6x + 3y = 63.75
Hence,
The system of equations 3x + 7y = 80 and 6x + 3y = 63.75 can be used to determine the cost of one CD and one DVD.
Ash is 4 years younger than Gary, and Oak is 5 times Gary's age. The sum of their three ages is 94. Find Gary's age. Show working out. Thanks!!
Answer:
Step-by-step explanation:
If Gary's age is 14 then
Ash is 4 years younger = 14 - 4 = 10
And Oak is 5 times Gary's age = 14 x 5 = 70
So total ages = 70 + 14 + 10 = 94
find the trigonometric ratio
this is geometry with trig
Answer:
tanZ = [tex]\frac{20}{15}[/tex]
Step-by-step explanation:
tanZ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{XY}{ZY} }[/tex] = [tex]\frac{20}{15}[/tex]
PLEASE ANSWER ASAP !!!!! WILL GIVE BRAINLIEST
Answer:
f=-1/9
Step-by-step explanation:
Answer:
First, isolate the variable, f. Subtract 4 to both sides to result with 2f > -7f -1.
Then, add 7f to both sides to result with 9f > -1. Now, we can divide 9 to both sides to get f > -1/9.
Jonathan deposits $6,000 in a savings account that pays 2.1% interest compounded
quarterly. What is his balance after one year?
Given:
Principal= $6000
Rate of interest = 2.1% compounded quarterly.
To find:
The balance after one year.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.
We have, P=6000, r=0.021, n=4 and t=1.
Putting these values in the above formula, we get
[tex]A=6000\left(1+\dfrac{0.021}{4}\right)^{4(1)}[/tex]
[tex]A=6000\left(1+0.00525\right)^{4}[/tex]
[tex]A=6000\left(1.00525\right)^{4}[/tex]
[tex]A=6126.9957[/tex]
[tex]A\approx 6126.996[/tex]
Therefore, the balance after one year is $6126.996.
Answer:
C. $7,800
Step-by-step explanation:
The dimensions of a rectangular building used to store tools for electrical lineman has a length of 12x+24 feet and the width of 20x-10 feet.
1.Write the expression that represents the area of the building, in terms of x.
2. Write the expression that represents the perimeter of the building, in terms of x.
3. If the perimeter is going to be 220 feet, what are the dimensions of the building.
Answer:
a) Area = 2x² + 3x - 2
b) Perimeter = 64x + 28
c) Length = 60 feet and Width = 50 feet
Step-by-step explanation:
It is given that:
Length of building = 12x + 24
Width of building = 20x - 10
Area = Length * Width
Area = (12x + 24) * (20x - 10)
Area = 12x(20x - 10) +24(20x-10)
Area = [tex]240x^2-120x+480x-240[/tex]
Area = [tex]240x^2+360x-240 = 2x^2+3x-2[/tex]
Perimeter = 2 (Length + Width )
Perimeter = 2 (12x + 24 + 20x - 10 ) = 2 (32x +14 )
Perimeter = 64x + 28
Putting Perimeter = 220
220 = 64x + 28
64x = 220 - 28
64x = 192
Dividing both sides by 64
x = 3
Length = 12(3) + 24 = 36 + 24 = 60 feet
Width = 20(3) - 10 = 60 - 10 = 50 feet
Therefore,
a) Area = 2x² + 3x - 2
b) Perimeter = 64x + 28
c) Length = 60 feet and Width = 50 feet
Is x = 6 a solution to the equation 5(x – 3) = x + 13? Follow the steps to find out. 1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. 2. Simplify both sides. Show your work. 3. Is x = 6 a solution to the equation? Why or why not? 4. Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution.
Answer:
x = 7Step-by-step explanation:
Testing if 6 is the solution:
5(x – 3) = x + 135(6 - 3) ? 6 + 135(3) ? 1915 ≠ 196 is not a solution
---------------------------------------------
Solving for x:
5(x – 3) = x + 13 ⇒ open parenthesis5x - 15 = x + 13 ⇒ isolate variable5x - x = 13 + 15 ⇒ simplify4x = 28 x = 28/4x = 7Answer:
x = 7
Step-by-step explanation:
PLEASE PLEASE HOW MANY TIMES CAN I SAY PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer like
Answer 1.___________
Answer 2.___________
Answer 3.___________
Answer 4.___________
Answer 5.___________
The cost of a 4 pack of apple juice is $ 2.24. Write an equation that relates the cost in dollars, y, to the number of apple juice cartons, x.
Answer:
Cost = y/x
Step-by-step explanation:
The cost of a 4 pack of apple juice is $ 2.24.
We need to write an equation that relates the cost in dollars, y, to the number of apple juice cartons, x.
As 4 packs = $2.24
1 pack = 0.56
So, the equation can be :
Cost = y/x
what is the absolute value of -6 please help
Answer:
6
Step-by-step explanation:
its 6
What is the value of the expression "eight more than three times the difference of four and a number" when n =
3?
□44
□19
□17
□11
Answer:
11
Step-by-step explanation:
3 (4 - n) + 8
When n = 3:
3 (4 - 3) + 8
3 (1) + 8
3 + 8
11
Answer:
11
Step-by-step explanation:
What is the general term for executive powers that are not specifically defined in the Constitution but are assumed to belong to the president?
A. expressed
B. adopted
C. assumed
D. implied
Is there a way to quickly find a function if you have a handful of ordered pairs?
ex. (-6, 10) (-4, 7) (-2, 4) (0, 3) (2, 0) (4, -3)
What is the value of Y below?
Answer:
y=2
Step-by-step explanation:
can someone plz help i need it quick
Answer:
The correct answer is 70.
60+50=110
180-110=70
the angels x and y are equivalent
Step-by-step explanation:
hoped this helped
✩brainliest appreciated✩
Answer:
the answer is dododoodod
Step-by-step explanation:
A rectangular field has an area of 646 square feet. The width of the field is 19 feet. What is the length of he field?
If rectangular field has an area of 646 square feet. The width of the field is 19 feet. Then length of the field is 71.77 feet.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given,
Area of rectangular field is 646 square feet.
width of the field is 19 feet.
We need to find the length of the field.
Area of rectangle=Length×Width
646=Length×19
Divide both sides by 19
Length=646/9
Length=71.77 feet
Hence 71.77 feet is the length of the field.
To learn more on Areas of rectangle click:
https://brainly.com/question/20693059
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math, science and other stuff to keep my brain in check
Answer:
yes sirr
Step-by-step explanation:
yes sirr
Answer:
yes sirrrrrrrrrrrrrrrrrrrr
Joyce uses 3/10 bag of chocolate chips for each batch of cookies she makes. What is the least number of batches Joyce can make if she has to open a second bag of chocolate chips?
Answer:
6 batches is the least amount.
Step-by-step explanation:
In the rectangle
P
Q
R
S
, the side
P
Q
is of length
2
and the side
Q
R
is of length
4
.
Points
T
and
U
lie inside the rectangle so that
P
Q
T
and
R
S
U
are equilateral triangles.
What is the area of the quadrilateral
Q
R
U
T
?
Answer:
maths challenge>
Step-by-step explanation:
samee
2 3/5 x 5/6 plz help
Answer:
2 1/6
Step-by-step explanation:
2 3/5 x 5/6
convert the 2 3/5 to an improper fraction so it can be easier to multiply
2 3/5 = 13/5
13/5 * 5/6
All you need to do is multiply across. Both denominators, and both numerators.
13 * 5 = 65 (numerator)
5 * 6 = 30 (denominator)
65/30 and that is in an improper form
2 5/30 = 2 1/6 = In a simplified mixed number
2 1/6
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Elimination method
3x + -3 =6
3x + 2y = 16
Answer:
(4,2)
Step-by-step explanation:
hope this answerss
A restaurant offers three sizes of coffee and four differerſt types of coffee.
Coffee can be ordered with or without cream and with or without sugar.
The restaurant also has six bagel options. A bagel can be ordered plain, with
butter, or with cream cheese. How many different ways can you choose a
coffee and bagel at this restaurant?
=======================================================
Work Shown:
There are,
3 sizes of coffee4 types of coffee2 choices for cream (you pick it or you leave it out)2 choices for sugar (same idea as the cream)This means there are 3*4*2*2 = 12*4 = 48 different coffees. We'll use this value later, so let A = 48.
There are 6 bagel options. Also, there are 3 choices in terms of if you order the bagel plain, with butter, or with cream cheese. This leads to 6*3 = 18 different ways to order a bagel. Let B = 18.
Multiply the values of A and B to get the final answer
A*B = 48*18 = 864
There are 864 ways to order a coffee and bagel at this restaurant.
--------------
If you're curious why you multiply the values out, consider this smaller example.
Let's say you had 3 choices of coffee and 2 choices for a bagel. Form a table with 3 rows and 2 columns. Place the different coffee choices along the left to form each row. Along the top, we'll have the two different bagel choices (one for each column).
This 3 by 2 table leads to 3*2 = 6 individual table cells inside. Each cell in the table represents a coffee+bagel combo. This idea is applied to the section above, but we have a lot more options.
a) Write 5.1 x 10^-1as an ordinary number.
Answer:
0.51
Step-by-step explanation:
Please hurry
5/6x-1/3>1 1/3?
Answer:
-5/18 >4/3
Step-by-step explanation:
Make this brainliest , thank you!
A bee flies at 6 feet per second directly to a flowerbed from its hive the bee stays at the flowerbed for 17 minutes, and then flies directly back to the hive at 4 feet per second. It is away from the hive for a total of 22 mins
Answer:
576 feet.
Step-by-step explanation:
5 - 13 = 2 minutes x 60 =120 seconds that the bee spent flying back and forth.
a - Distance = Time x Speed
Time =Distance / Speed
D / 12 + D / 8 = 120, solve for D
b - D = 576 feet from the hive to the flowerbed.
Solve for the variable. 4/2=3/x
A.2/3
B.1.5
C.6
D.12
Answer:
B
Step-by-step explanation:
Given
[tex]\frac{4}{2}[/tex] = [tex]\frac{3}{x}[/tex] ( cross- multiply )
4x = 6 ( divide both sides by 4 )
x = 1.5 → B
Answer:
3/2 0r B. 1 1/2
Step-by-step explanation:
Step 1: Cross-multiply.
4/2=3/x
4*x=(3)*(2)
4x=6
Step 2: Divide both sides by 4.
4x/4=6/4
x=3/2
Answer:
x=3/2
3/2 is an equivilant to B 1.5 or 1 1/2
The equation of a line is given below.
9x - 3y=3
Find the slope and the y-intercept.
Then use them to graph the line.
please help me on this will give you brainliest
Answer:
x + 8*19
Step-by-step explanation:
plz show how you got the answer
Hi there! I'm here to help. :)
Okay, so here you are solving for x. To solve for x, you must get it alone on one side of the equal sign. As we can see, it is not alone, and it is with 1 1/4 on the left side of the equal sign.
To get it alone, we need to subtract 1 1/4 from both sides. However, to subtract fractions, we need to make sure they have the same denominator. Looking at the fractions, we can see that they have two different denominators.
Begin by converting both fractions into improper fractions:
1 1/4 = 5/4
3 1/2 = 7/2
So now our equation looks like this: x + 5/4 = 7/2
Now we need to make it to where we our fractions have the same denominator.
Our current denominators are 4 and 2. The LCM (lowest common multiple) of 4 and 2 is 4, so you leave 5/4 as it is (because it's denominator is already 4) and you change 7/2.
Multiply 2 * 2 to make the denominator 4 in 7/2, but whatever you do to the denominator, you MUST do to the numerator. So multiply 7 * 2 = 14. Now your fraction looks like this: 14/4
Now we have:
1 1/4 = 5/4
3 1/2 = 14/4
Our denominators are the same now! Now here comes the easy part: We subtract! Do 3 1/2 - 1 1/4, or, 14/4 - 5/4. To subtract fractions, simply subtract the numerators and leave the denominators as is. 14 - 5 = 9, so 14/4 - 5/4 = 9/4.
Now our equation looks like this:
x = 9/4
LASTLY: All of your options are mixed numbers, so convert this improper fraction back into a mixed number. 9/4 = 2 1/4.
So, x = 2 1/4. :)
Which ordered pair uses the rule used in the table?
Answer:
8,17 Answer B.
Step-by-step explanation:
g−9=−19
Help plz
Pleaseeeeee
Answer:
g = -10
Step-by-step explanation:
