Answer:
x = 6
Step-by-step explanation:
Solve for x:
-(7 x)/3 + 14 = 0
Put each term in -(7 x)/3 + 14 over the common denominator 3: -(7 x)/3 + 14 = -(7 x)/3 + 42/3:
(-(7 x)/3 + 42/3) = 0
-(7 x)/3 + 42/3 = (-7 x + 42)/3:
((-7 x + 42)/3) = 0
Multiply both sides of (-7 x + 42)/3 = 0 by 3:
(3 (-7 x + 42))/3 = 3×0
(3 (-7 x + 42))/3 = 3/3×(-7 x + 42) = -7 x + 42:
(-7 x + 42) = 3×0
0×3 = 0:
-7 x + 42 = 0
Subtract 42 from both sides:
(42 - 42) - 7 x = -42
42 - 42 = 0:
-7 x = -42
Divide both sides of -7 x = -42 by -7:
(-7 x)/(-7) = (-42)/(-7)
(-7)/(-7) = 1:
x = (-42)/(-7)
The gcd of 42 and -7 is 7, so (-42)/(-7) = (-(7×6))/(7 (-1)) = 7/7×(-6)/(-1) = (-6)/(-1):
x = (-6)/(-1)
(-6)/(-1) = (-1)/(-1)×6 = 6:
Answer: x = 6
The water flow rate of a regular shower head is 3. 5 gallons per minute. At this rate it would cost $1. 90 for the water used for a 10 minute shower
Using proportions, it is found that the cost of 1 gallon of water, rounded to the nearest cent, is of $0.05.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have that he uses 3.5 x 10 = 35 gallons for a 10 minute shower, which costs $1.9. Hence the cost of a gallon is of:
$1.9/35 = $0.05.
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what is the measurement of each interior angle in #17
Step-by-step explanation:
Sum of interior angles of a polygon
180°(n−2)
When n=10,
Sum of interior angles of a polygon
180°(n−2)
=180°(10−2)
=1440°
Therefore, Each interior angle of a regular heptagon measures 1440/10=144°
Sum of interior angles of a polygon
180°(n−2)
When n=7,
Sum of interior angles of a polygon
180°(n−2)
=180°(7−2)
=900°
Therefore, Each interior angle of a regular heptagon measures 900/7=128.6°
Look at one of the formulas for the perimeter of a rectangle where l represents the length and w represents the width. 2(l + w)
What does the 2 represent in this formula?
Answer:
The question you are asking is a bit unclear but I might be able to offer some insight.
2(l + w) is sometimes used as the formula for the perimeter of a rectangle.
If l represents the length and w represents the width, then the perimeter (sum of the sides) is l + w + l + w.
This simplifies algebraically as 2l + 2w and can be factored into 2(l + w).
So, to find the perimeter of the rectangle you must double the sum of the length and width.
Not sure if I helped, but finger crossed!! :)
Step-by-step explanation:
The circumference of a circle is 9 pi cm. What is the area, in square centimeters? Express your answer in terms of \piπ.
Answer:
20.25 × pi cm²
Step-by-step explanation:
the circumference of a circle is
2×pi×r
with r being the radius.
in our case
9×pi = 2×pi×r
9 = 2r
r = 9/2 = 4.5 cm
the area of a circle is
pi×r²
in our case that is
pi×(4.5)² = 20.25 × pi cm²
What is the measure of angley to the nearest whole degree? 58° 64° 68° 73°
Applying the law of cosines, the measure of angle Y in the image below, to the nearest whole degree, is: B. 64°
What is the Law of Cosine:Law of cosines is given as: y² = x² + z² – 2xz(cosY)
Given the following:
x = 12
y = 16
z = 17
Y = ?
Apply the law of cosines:
16² = 12² + 17² – 2(12)(17)(cosY)
256 = 433 - 408(cos Y)
256 - 433 = -408(cos Y)
-177 = -408(cos Y)
-177/-408 = cos Y
Y = cos^(-1)(177/408)
Y ≈ 64°
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. Calculator
The price of a visit to the dentist is calculated according to the formula 50 + 100n where n is the number of
cavities the dentist finds.
On your last visit to the dentist, 2 cavities were found.
What was the cost of your visit?
Answer:
$250
Step-by-step explanation:
50+100n= 50+100(2)= 50+200=250
Sincerest Apologies if this is incorrect
–0.4 = 3d + –10
pls answer and dont delete for no reason. again.
Answer:
3.2
Step-by-step explanation:
I'm guessing you want to find the value of D.
so,
-0.4 = 3d -10
3d = 9.6
d = 3.2
Answer: 3.2
Step-by-step explanation:
-0.4= 3d + (-10)
-0.4= 3d -10
add 10 to both sides
9.6 =3d
d= 9.6/3
d = 3.2
Point A is located is at (7, -3) and is reflected in the y-axis. What are the coordinates of point A'?
(-7, -3)
(-7, 3)
(7,3)
(7.-3)
Answer: (-7, -3)
Step-by-step explanation: Reflection across y axis changes the sign of the x coordinate only
Suppose that algeria has a workforce of 9,416,534, each of whom earns an average annual salary of (equivalent us dollars) $6,844. if the algerian government wishes to raise $9 billion in tax revenue, approximately where should it set the income tax rate? a. 9% b. 14% c. 18% d. 26% please select the best answer from the choices provided a b c d
The income tax rate is 14% if the Algerian government wishes to raise $9 billion in tax revenue and has a workforce of 9,416,534.
What is the income tax rate?It is defined as the tax rate applied on the solely earned money by a single entity.
Algeria has a workforce of 9,416,534
Each entity average annual salary = $6,844
The raise in tax revenue = $ 9 bilion
To find the income tax rate we must find the total income of the workforce,
= 9,416,534×6844
= $64.45 billion
Now for income tax:
[tex]\rm = \frac{Tax \ revenue}{Total \ income}[/tex]
[tex]=\rm \frac{9 \ billion}{64.45 \ billion}\times 100[/tex]
≈ 14 %
Thus, the income tax rate is 14% if the Algerian government wishes to raise $9 billion in tax revenue.
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HELP 276.5 divided by 7.9.
[tex]\dfrac{276.5}{7.9}\\\\\\=\dfrac{276.5 \times 10}{7.9 \times 10}\\\\\\=\dfrac{2765}{79}\\\\\\=\dfrac{79 \times 35}{79}\\\\\\=35[/tex]
1) The right rectangular prism is packed with unit cubes of the appropriate unit fraction edge lengths. Find the volume of the right rectangular prism in centimeters. (figure not to scale)
A) 10 ⅔ cm³
B) 24 cm³
C) 26 ⅔ cm³
D) 40 cm³
--------------------------------------------------
Formula :
--------------------------------------------------
Volume = Length x Width x Height
--------------------------------------------------
Find volume :
--------------------------------------------------
[tex]Volume=6 \frac{2}{3} *2*2[/tex]
--------------------------------------------------
Change to improper fractions :
--------------------------------------------------
[tex]Volume=\frac{18}{3}*\frac{2}{1} *\frac{2}{1}[/tex]
--------------------------------------------------
Combine into single fraction :
--------------------------------------------------
[tex]Volume=\frac{24}{1}[/tex]
--------------------------------------------------
Simplify:
--------------------------------------------------
[tex]Volume=24[/tex]
--------------------------------------------------
Answer: Volume = 24 cm³ (Answer B)
--------------------------------------------------
i will give 80 points
Answer:
8 home games and 10 away games
Step-by-step explanation:
Total home goals
= 8 +5 +9 +8 = 30
Number of home games
= 30/3.75 = 8
Total away game goals
= 7 + 8 + 4 + 5 = 24
Number of away games
= 24/2.4 = 10
Easy Peasy :) Hope this helped! <3 brainliest please :)
Using side lengths only, could the triangles be similar?
Answer:
Option A
Step-by-step explanation:
Step 1: Compare the sides
We can see that it was rotated in a way where Y is similar to R, X is similar to Q, and Z is similar to S.
[tex]\frac{SQ}{XZ }\neq \frac{QR}{XY} \neq \frac{RS}{YZ}[/tex]
[tex]\frac{0.5}{1}\neq \frac{1}{1.5}\neq \frac{1.5}{2}[/tex]
[tex]0.5\neq 0.6667\neq 0.75[/tex]
Answer: Option A
A cylinder has a radius of 6 inches and is 15 inches tall. what is the volume of the cylinder? express the answer in terms of pi. a cylinder with a radius of 6 inches and height of 15 inches. recall the formula v = pi r squared h. 90 pi inches cubed 540 pi inches cubed 1,350 pi inches cubed 2,160 pi inches cubed
The volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches
How to calculate the volume of a cylinder?The formula for calculating the volume of cylinder is expressed as:
V = πr²h
where
r is the radius
h isthe height
Given the following parameters
h = 15in
r = 6in
substitute
V = 6^2 * 15π
V = 540 π cubic inches
Hence the volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches
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Answer:
b
Step-by-step explanation:
Will mark as brainlyest!!
Andy wants to mail a package it cost $4.99 plus $.30 for every ounce of the package weighs write an equation that represents the total cost of shipping the package
Answer:
$4.99 + .30X
Step-by-step explanation:
The base price is 4.99
then you have to add the additional .30 for each ounce the package weighs.
The weight is unknown, so I used X. It will be .30 multiplied by x
43
Natasha spends $9 for supplies to make necklaces that she sells for $2 each.
Her profit is given by the expressioin 2n - 9. What does the variable n
represent?
Answer:
n = the number of necklaces Natasha sells
Find the area of a sector with an arc length of 40 cm and a radium of 12 cm
The required area of a sector with an arc of 40 cm and a radius of 12 cm is given as 240 cm².
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
Sectoral area = arc / 2 × radius
Sectoral area = 40 / 2 × 12
= 20 × 12 = 240 cm²
Thus, the required area of a sector with an arc of 40 cm and a radius of 12 cm is given as 240 cm².
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Please help me with this question eekekk
Answer: The mean of Mike's scores is less than the mean of Tim's scores- True The range of Mike's scores is less than the range of Tim's scores- False The median of Mike's scores is less than the median of Tim's scores- True
Step-by-step explanation:
At the local coffee shop, a small coffee costs $2.50 and a large coffee costs $3.75. Belinda picked up a total
of ten coffees for her team, and paid $33.75 total.
(a) Let x represent small coffees and let y represent large coffees. Write a system to model this situation
and solve it using graphing technology. Yea
Answer:
2.50x + 3.75y = 33.75
Step-by-step explanation:
Compute the correlation coefficient for the data set.
(2,19), (3,22), (4,26), (5,20), (6,35), (7,30), (9,40), (10,42), (11,35)
Enter your answer as a decimal, like this: 0.42
Answer:
0.8679.
Step-by-step explanation:
A deck of 50 cards for a math game has 9 red cards, 13 blue cards, 18 green cards, and 10 yellow cards. What is the probability that a card randomly selected from the deck will be a blue card?
Answer:
13/50 or 26%
Step-by-step explanation:
there are 13 blue cards out of 50 so 13/50 or 26%
Marquet is relocating to an area where she will be attending college. she finds a townhome with an option to rent or buy. the conditions of each are shown below. rent: move-in cost of $1,350 and monthly payment of $795. buy: move-in cost of $8,235 and monthly payments of $750. marquet plans to stay in the area for the 5 years it will take her to get a graduate degree, so she decides to buy. choose the best evaluation of marquet’s decision. a. since the costs would be the same over the 5 year period, she will have made a good decision if the property value does not decrease. b. she made a fairly good decision. buying the townhome will be cheaper over the 5 year period as long as she doesn’t have major repairs to make. c. she made a poor decision if the property value does not increase. renting the townhome would be cheaper over the 5 year period. d. there is not enough information given to determine which option is best.
The total cost for five years of her rent is less than she buys the townhome. Then the correct option is C.
What is decision-making?The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
Marquet is relocating to an area where she will be attending college.
She finds a townhome with an option to rent or buy.
The conditions of each are shown below.
rent: move-in cost of $1,350 and monthly payment of $795.
buy: move-in cost of $8,235 and monthly payments of $750.
Marquet plans to stay in the area for the 5 years it will take her to get a graduate degree, so she decides to buy.
The total cost for five years when she rents.
→ 1350 + 795 × 12 × 5
→ $49,050
The total cost for five years when she buys.
→ 8235 + 750 × 12 × 5
→ $53,235
She made a poor decision if the property value does not increase. renting the townhome would be cheaper over the 5 years period.
More about the decision-making link is given below.
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Answer:
c. she made a poor decision if the property value does not increase. renting the townhome would be cheaper over the 5 year period.
Step-by-step explanation:
edge
Look at this diagram. Trapezoid ABCD is similar to Trapezoid JKLM. What is the measure of K?
Answer:
140
Step-by-step explanation:
Its in a answer key pdf
If 96 as a product of its prime factors is 2x2x2x2x2x3, find the greatest common divisor of 72 and 96
Answer:
24
Step-by-step explanation:
72=2*2*2*3*3
96=2*2*2*2*2*3
Hcf=2*2*2*3=24#
Damien has a newspaper delivery route. Every morning it takes him 12 minutes to organize his newspapers before he starts his delivery. Then, he delivers 3 newpapers every 2 minutes.
Write a function to represent the number of minutes, y, it takes Damien each day to deliver x newspapers, including the time it takes him to get organized. Enter your answer in the box.
Math
A function that represents the number of minutes it takes to deliver x newspapers is y = 12 + 2x/3.
What is the function?The function that represents the number of minutes it takes to deliver x newspapers is: total minutes = time it takes to orgainse the newspapers + time it takes to deliver x newspapers
Time it takes to orgainse the newspapers = 12 minutes
Time it takes to deliver x newspapers = 2x / 3
y = 12 + 2x/3
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i need help with this
Answer:
1302
Step-by-step explanation:
Delta Math:
Finding Angles (Level 1) 1/5
Full explanation please
will give brainlist
Answer:
[tex]m\angle FGC =101\degree [/tex]
Step-by-step explanation:
[tex]m\angle CBF = 46\degree[/tex] (Given)
[tex]m\angle FIG = 55\degree[/tex] (Given)
[tex]m\angle IFG = m\angle CBF[/tex] (Corresponding angles)
[tex]\implies m\angle IFG = 46\degree[/tex]
[tex]m\angle FGC =m\angle IFG+ m\angle FIG[/tex]
(By exterior angle theorem)
[tex]m\angle FGC =46\degree+ 55\degree [/tex]
[tex]m\angle FGC =101\degree[/tex]
Here
<IFG=<IBC as lines are parallelUsing the formula
sum of interiors=external
m<FGC=m<IFG+m<GIFm<FGC=55+46°m<FGC=101°Answers both for 41 points and a like and brainlist
Answer:
2: 142.5
3: 42
Step-by-step explanation:
Remark
Problem 2
The diagonals of a kite meet at right angles. They also bisect each other. So the two triangles on the left and right side of the kite are congruent.
Because the smaller diagonal is bisected, you need only find the area of 1 of the triangles and double it.
1/2 of the smaller diagonal is the altitude of the triangle. The base is the other larger diagonal.
Solution
Area of the left triangle
Givens
altitude = 7.5
Base = 14 + 5 = 19
formula
Area = 1/2 * B * h
Solution
Area = 1/2 * 19 * 7.5
Area = 71.25
But there are 2 such triangles
Area of both = 71.25 * 2 = 142.5
Answer: A
Problem 3
Remark
The way they have given you the problem, you could be easily fooled. The 2 does not help you at all.
A parallelogram has an area of B * h. Those are the two numbers you use.
Givens
Base = 6
height = 7
Formula
Area = B * h
Solution
Area = 6*7
Area = 42
Answer: Area = 42m^2
find the value of the variable
Answer:
the answer is y=4
Step-by-step explanation:
the left drawing is a law , and is always true . and on the right side i showed you how i got to the answer.