Answer:
5th term = 18
Step-by-step explanation:
a1 + a1+d a1 + 2*d a1+3d a1 + 4*d a1 + 5d
a1 + 2d = 10
6*a1 + 15d = 72
Multiply the first equation by 6
6a1 + 12d = 60
Write the above equation underneath the second equation
6a1 + 15d = 72
6a1 + 12d = 60 Subtract
3*d = 12 Divide by 3
d = 12/3
d = 4
a1 + 2d = 10
a1 + 2*4 = 10
a1 + 8 = 10 Subtract 8 from both sides
a1 - 8 = 10- 8
a1 = 2
The fifth term is
t5 = 2 + 4*4
t5 = 18
Jon buys a shirt for $40 and then buys socks for $15. He lives in Maine and their
sales tax rate is 5%. How much will his sales tax be?
Jon pays $40 and $15. This means that he pays a total of $55. You multiply the total cost by 0.05, which is $2.75. To convert a number to a percentage, multiply it by 100. So, 0.05 as a percent is equal to 5%.
His sales tax will be $2.75.
When looking at a graph, explain how you would know two variables were not proportional.
Answer:
a straight line that does not go through the origin.
Given z varies jointly as x and y, use the given values to find an equation that relates x, y, and z.
x = 3, y = 8, and z = 54
Answer:
z = 2.25xy
Step-by-step explanation:
Given z varies jointly as x and y then the equation relating them is
z = kxy ← k is the constant of variation
To find k use the condition x = 3, y = 8 and z = 54 , then
54 = k × 3 × 8 = 24k ( divide both sides by 24 )
[tex]\frac{54}{24}[/tex] = k = 2.25
z = 2.25xy ← equation of variation
Find the surface area of the prism.
6.5 ft.
6 ft
8 ft.
5 ft
The surface area is
square feet.
Answer:
the BIG B (big base) is 2(5*6)*½ which is 30.
the bottom is 8*5 which is 40.
the sides are 8*6.5 which is 52 TIMES TWO becuase there is another WHICH IS 104.
30+40+104=174 SQUARE FEET
How many 4 ounce servings can I make from a 2/38 pound salmon. Someone please help! I'm super stumped!
how many solutions does the following system have?
-4x + 5y = 7
4x - 5y = -7
a. one solution
b. no solution
c. infinitely many solutions
Answer:
It has no solution since it is a simultaneously equation. And when you solve to find x and y it gives 0
1. The original price of the table was $250. Jane bought it on sale for $200.
How much did she save?
What percent of the original price did she save?
She saved 20%.
The price of the table was 250 and she bought it for 200, meaning 1/5 of the original price was marked off. 1/5 = 20% which means it was 20% off the original price.
Which is NOT a line of symmetry?
1
2
3
4
5
Answer:
Line 3 is the only one that is not a line of symmetry.
Rewrite this equation below into standard form
y=−3−7x
If the new minimum wage of $8.75 per hour is 102.9412% of the old minimum wage, what was the old minimum wage?
Using proportions, it is found that the old minimum wage was of $8.50.
The new minimum wage is of $8.75 per hour.The old minimum wage was of x.The new minimum wage is 102.9412% of the old minimum wage, hence it can be represented as 1.029412x.The equation for the relationship between these wages is:
[tex]1.029412x = 8.75[/tex]
[tex]x = \frac{8.75}{1.029412}[/tex]
[tex]x = 8.50[/tex]
The old minimum wage was of $8.50.
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
28-(3x+4)=2(x+6)+x In Distributive property please.
Answer:
X=4
Step-by-step explanation:
28−(3x+4)=2(x+6)+x
28+−1(3x+4)=2(x+6)+x(Distribute the Negative Sign)
28+−1(3x)+(−1)(4)=2(x+6)+x
28+−3x+−4=2(x+6)+x
28+−3x+−4=(2)(x)+(2)(6)+x(Distribute)
28+−3x+−4=2x+12+x
(−3x)+(28+−4)=(2x+x)+(12)(Combine Like Terms)
−3x+24=3x+12
−3x+24=3x+12
Step 2: Subtract 3x from both sides.
−3x+24−3x=3x+12−3x
−6x+24=12
Step 3: Subtract 24 from both sides.
−6x+24−24=12−24
−6x=−12
Step 4: Divide both sides by -6.
−6x
−6
=
−12
−6
x=2
Answer:
x = 2
Step-by-step explanation:
28 - 3x + 4 = 2x + 12 + x
24 - 3x = 3x + 12
+ 3x +3x
24 = 6x + 12
-12 -12
12 = 6x
x = 2
What is the solution set for this inequality?
negative x plus 40 is greater than negative 16,
Answer:
x < 56
Step-by-step explanation:
- x + 40 > -16
-x + 40 - 40 > -16 -40
-x > -56
-x / -1 > -56 / -1
x < 56
Calculate the value of (225 ÷ 0.25) – 11.875
Answer:
888.125
Step-by-step explanation:
(225/.25) - 11.875
(Divide 225 by .25)
900 - 11.875
888.125
i need help please find the ans
you will get 15 points if you ans this
Answer:
the answer is 5 ^_^
Step-by-step explanation:
hopeee it helpss ^_^
regan sold 2200 cookies in a fundraiser to "save the world" and raised $5000. If she sold
her Snickerdoodle cookies for $1.50 each and chocolate chip cookies for $4.00 each, how
many chocolate chip cookies did she sell?
Answer:
she sold 680 chocolate chip cokies
Step-by-step explanation:
Identify two ANGLES that are marked congruent to each other on the diagram below
Answer:
Angle J is congruent to Angle G
what is the slope of the line on the graph
Answer:
5
Step-by-step explanation:
write the point-slope form of the equation of the line through the given points through (0,-1) and (3,-3)
[tex]\text{Given that,}\\\\(x_1,y_1) = (0,-1) ~ \text{and}~ (x_2, y_2) = (3,-3)\\\\\text{Slope, m}= \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-3+1}{3-0} = -\dfrac 23\\\\\\\text{Point slope - form}\\\\y-y_1 = m(x-x_1)\\\\\implies y - (-1) = -\dfrac 23 (x -0)\\\\\implies y +1 = -\dfrac 23 x[/tex]
The table below shows the proportional relationship between the weight of cereal, in ounces, and the number of packs of cereal:
Number of Packs
of Cereal Number of Ounces
of Cereal
2 34
3 51
4 68
What is the constant of proportionality?
9
17
34
36
Answer:
The answer is a
Its a because 13 times 3 is 39
13 times 4 is 52
and 13 times 5 is 65
Credit to: alizahalder2007
If 1/3 is classified as a rational number, does 10/3 fall on the same classification? Why and why not
Answer:
Because it can't be written as a Ratio of two integers
Please fast as possible.
2 sin A = √3
=》sin A = √3/2
■ If sin A = √3/2, then A = 60° (trigonometric value)
So,
cot A = cot 60° = 1/√3
1 - cot²A / 2 cot A
= 1 - (1/√3)² / 2*(1/√3)
= 1 - (1/3) / 2/√3
= 2/3 / 2/√3
= 2/3 / 2√3/3
Cancel out the 3 in the denominator.
= 2/2√3
= 1/√3
1 - cot²A / 2 cot A = 1/√3
_____
● See the attachment for the trigonometric values.
Hope it helps ⚜
Answer:
√3/3Step-by-step explanation:
2 sinA = √3 ⇒ sinA = √3/2Rewrite as:
(1 - cot²A)/2cotA = (1 - cos²A/sin²A)/(2cosA/sinA) = sinA[(sin²A - cos²A)/sin²A] / (2cosA) =(2sin²A - 1)/(2sinAcosA) = (2sin²A - 1)/[2sinA√(1 - sin²A)]Substitute the value of sinA:
(2(√3/2)² - 1) / [√3 √{1 - (√3/2)²)] =(3/2 - 1)/[√3√(1/4)] =(1/2) /(√3/2) = 1/√3 = √3/3expand and simplify (x-2)³
Step-by-step explanation:
(x-2)³ = (x-2) × (x-2) × (x-2)
(x-2) × (x-2) = x²-2x-2x + 4 = x² -4x + 4
(x² -4x + 4) (x-2) = x³ -2x² -4x² +8x +4x -8
x³ -6x² +12x - 8
8. A 20 point test was given to two classes. Each class had results shown in the box plots below. Which of the
two classes has the greater interquartile range?
How much is the bill for a person who uses 600kWh in a month?
Answer:
the correct answer is $80
Step-by-step explanation:
your welcome(:
can I get the brainliest?(:
thank me if it was right for you too
Solving Linear Equations with the Distributive Property
BRAINLIEST IF RIGHT!
Answer:
c = $5.50
Step-by-step explanation:
Since Gage has the exact amount of change, we know the total of all 5 sodas and all 5 cheeseburgers, so we can make an equation where:
c = cost of one cheeseburger
s = cost of one soda
Gage is buying soda and cheeseburgers for himself and 4 friends, so that is 5 of each soda and 5 of each cheeseburger, so we multiply the costs by 5 and set it equal to the total amount of all the food and drinks.
5s + 5c = 33.75
We are given the price of soda, however, so we can insert that number into the equation for s.
5(1.25) + 5c = 33.75
Then we can simplify and solve for c.
6.25 + 5c = 33.75
5c = 27.5
Remember, we're solving for the price of one cheeseburger, so we have to divide this number by 5.
c = 5.50
So one cheeseburger costs $5.50.
Hope this helps.
Helpp
10.
9.
7 ÷
7x
7 mi
=
=
1
3
gal
1-0 0-0
O
miles per gallon
Answer:
21mi/gnStep-by-step explanation:
7mi/1/3gncalculate the product7mi/gn/3simplify the complex fraction
So the answer is=21mi/gnHope it helpsIn his pocket, Hamid has $2. 95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes and quarters that Hamid has? x y = 16. 0. 10 x 0. 25 y = 2. 95. X y = 16. 0. 05 x 0. 25 y = 2. 95. X y = 2. 95. 0. 10 x 0. 25 y = 16. X y = 16. 0. 01 x 0. 25 y = 2. 95.
There are 7 dimes and 9 quarters in his pocket.
Let the number of dimes be xLet the number of quarters be yIf there are 16coins in total, hence;
x + y = 16 ......................... 1If hamid has $2. 95 in dimes and quarters, this is expressed as:
0.1x + 0.25y = 2.95 ............... 2From equation 1
x = 16 - y ................. 3Substitute equation 3 into 2 to have:
0.1x + 0.25y = 2.95
0.1(16-y) + 0.25y = 2.95
1.6 - 0.1y + 0.25y = 2.95
1.6 + 0.15y = 2.95
0.15y = 1.35
y = 1.35/0.15
y = 9
Since x + y = 16
x = 16 - y
x = 16 - 9
x = 7
Hence there are 7 dimes and 9 quarters in his pocket.
Learn more on simultaneous equations here: https://brainly.com/question/16863577
PLEASE HELP! A farm stand sells oranges in 3-lb bags for $3.75. What equation represents the cost, c, for p pounds of oranges?
A. c = 1.25p B. p = 1.25c
C. c = 3.75p D. p = 3.75c
Please answer asap
Answer:
The answer is A
Step-by-step explanation:
$1.25*3=3.75
i don’t know what i’m doing lol
how do you solve 9-3(5-4x)
Answer:
-6+12x
Step-by-step explanation:
9-15+12xmultiply -3(5-4x), calculate the difference
-6+12x