Answer:
legs limit the number of chairs that can be built
Step-by-step explanation:
The maximum number of chairs that can be built will be the minimum of the number of parts divided by the number of parts needed for each chair, as computed across the different kinds of parts required.
seats: 12 available, used 1 per chair: 12/1 = 12 chairs possible
backs: 15 available, used 1 per chair: 15/1 = 15 chairs possible
legs: 44 available, used 4 per chair: 44/4 = 11 chairs possible
The maximum number of chairs that can be built will be the minimum of 12, 15, and 11. That is, 11 chairs can be built, limited by the number of available legs.
help solve for number 6 please !!
:)
Answer:
x: {-3, 5}
Step-by-step explanation:
Step 1. Find least common denominator
Step 2. Multiply missing factors on top AND bottom
Step 3. Combine like terms
Step 4. Simplify (get rid of denominator)
Step 5. Solve for x
[tex]\frac{x}{x-5} +\frac{3}{x+2} =\frac{7x}{x^2-3x-10}[/tex] LCD = [tex]x^2-3x-10[/tex] OR [tex](x-5)(x+2)[/tex]
[tex]\frac{x}{x-5}(\frac{x+2}{x+2}) +\frac{3}{x+2}(\frac{x-5}{x-5}) =\frac{7x}{x^2-3x-10}[/tex]
[tex]\frac{x(x+2)}{(x-5)(x+2)} +\frac{3(x-5)}{(x+2)(x-5)} =\frac{7x}{(x-5)(x+2)}[/tex]
[tex]\frac{x(x+2)+3(x-5)}{(x-5)(x+2)} =\frac{7x}{(x-5)(x+2)}[/tex]
[tex]\frac{x^2+2x+3x-15}{(x-5)(x+2)} =\frac{7x}{(x-5)(x+2)}[/tex]
[tex]\frac{x^2+5x-15}{(x-5)(x+2)} =\frac{7x}{(x-5)(x+2)}[/tex]
[tex]x^2+5x-15=7x[/tex]
[tex]x^2-2x-15[/tex]
[tex](x-5)(x+3)[/tex]
x = -3, 5
Theo started to solve the quadratic equation (x 2)2 – 9 = –5. he added 9 to both sides and the resulting equation was (x 2)2 = 4. next, he took the square root of each side. which was the resulting equation of that step? x 2 = ±4 x 2 = ±2 x 2 = ±8 x 2 = ±16
The resulting equation of that step is the square root of (x + 2)² is (x + 2).
What is the square root function?A square root function is defined as a one-to-one function that takes a positive number as an input and returns the square root of the given input number.
From there, it was pretty easy for Theo to find the solutions
to the original equation.
If (x + 2) = +2 , then x = 0 .
If (x + 2) = -2 , then x = -4
Hence, the resulting equation of that step is the square root of (x + 2)² is (x + 2).
To know more about the square root function click the link given below.
https://brainly.com/question/4480283
Which pair of triangles are similar?
A
Triangles 1 and 2 each have a 36° angle.
a
B
Triangles 3 and 4 each have a 42° angle.
с
Triangle 5 has a 70 angle and a 95° angle. Triangle 6 has a 30° and a 75º.
a
D
Triangle 7 has a 30 angle and a 90°. Triangle 6 has a 30° and a 60°.
Answer:
[tex] \sf \fbox{Option D have pair of triangles are similiar}[/tex]
Step-by-step explanation:
To prove triangles are pair we will use AAA property.
ln option A the given triangles 1 & 2 have a 36° Angle, but the remaining two angles of both the traingle are not mentioned, as long as we don't know the measure of other two angle of both the traingle we can't say that pair of triangles are similar.
Similarly In option B triangles 3 & 4 can't be pair of similar triangle
In option C triangle 5 & 6 don't have any common angle, hence it does not follows AAA property and the given pair of traingles are not similar.
In option D Two angles of each triangle are given so we can easily find the third angle of both the triangle. let's solve for the third angles of triangle 7 and 8.
in triangle 7,
given angles are 30° and 90°let the third angle be X,now,30+90+X = 180(sum of all angles of triangle is 180)X= 180-90-30X= 60All three angles of triangle 7 are 30, 60 & 90
Now in triangle 8,
given angles are 30° and 60°let the third angle be Y,now,30+60+Y = 180(sum of all angles of triangle is 180)Y= 180-90Y= 90All three angles of triangle 8 are 30, 60 & 90
Hence, both the triangles have same measure of all three angles we can say that triangle 7 & 8 are similar triangle.
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Large balloons are sold in packages of 12. Select the expressions that can represent the total number of balloons in p packages of large balloons.
A. 12 – p
B. 12 × p
C. p + 12
D. p ÷ 12
E. 12p
The expressions that can represent the total number of balloons in p packages of large balloons is 12 × p or 12p. Hence, options B and E are correct.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given statement in the question,
The number of balloons in the package = is 12
Total number of packages = p
Then, the expression for the number of balloons in the packaging will be equal to the
12 × p or,
It can be written as 12p.
To know more about equation:
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If the center of a circle is at (3,3) and it has a radius of 5, which is another point on
the circle?
The radius is 5 so you can add 5 to the y value of the center to get (3,8)
AAAA PLSSSS HELPP!!!
No links pls and ty! <33
Answer:
18.8
Step-by-step explanation:
Hey there!
In order to find the solution to this question, we need to find the circumference
To find the circumference, you need to take the diameter and multiply it by 3.14 which is pi
In this case, the diameter is 6
6 x 3.14 is 18.84 so this means that the circumference of the circle, or in this case, a cookie, is 18.84
Also, it says to round to the tenth so our final answer will be 18.8
So the answer to this question is 18.8
C=18.8
Solution:Circumference = C=πdPlug in the value of d:C=π×6C=6π (in terms of pi)C=18.8Hope it helps.
Do comment if you have any query.
14,19,16,13,16,14
The median is
.
Question 2
Find the mode(s) of the data.
13
13
14
14
16
16
19
19
There is no mode.
There is no mode.
Answer:
the median is 15, there is no mode.
Step-by-step explanation:
to find the median- put the numbers in order from least to greatest (13,14,14,16,16,19) use a sheet of paper and cross off each number on the ends until you get to the middle. Once you have reached the middle you should have the two numbers 14, 16. Take 14 and 16, add them together and you will get 30. Divide 30 by 2 because there is two numbers for the median. You should end with 15 as your median.
to find the mode- find the number that occurs the most in the set of numbers, in this case all numbers occur the same amount of times, so therefor there is no mode.
happy to help<33.
Jaleesa bought 2 notebooks for $8. 75 each and 1 textbook for $74. 95. If the sales tax was 7%,
what was the total cost of Jaleesa's purchases?
Write the answer as a decimal to 2 places
Answer:
Step-by-step explanation:
First calculate the amount of notebooks and textbook
Cost of 2 notebooks = 2 *8.75
= $ 17.5
Cost of 1 textbook = $ 74.95
Total cost = 17.5 + 74.95
= $ 92.45
Tax = 7% of total cost
= 0.07 * 92.45
= $ 6.47
Total cost = 92.45 +6.47
= $ 98.92
Jaleesa bought 2 notebooks for dollar 8. 75 and 1 textbook for dollar 74.95 . If the sales tax was 7[tex]{\%}[/tex],
what was the total cost of Jaleesa's purchases?
Explanation -;In this question we are provided with the cost of each textbook and notebook and it is given that Jaleesa bought 2 notebook and 1 textbook and the sale tax was.7% and we are asked to calculate the total cost of Jaleesa's purchases
First we will calculate the cost of two notebooks
Rate of 1 notebook = $8.75
Cost of 2 notebook = $(8.75 × 2) = $17.5
Now, we will calculate the total cost
Total cost of 2 notebook and 1 textbook = $(17.5 + 74.95) = $92.45
Sales tax was 7%
7% of $92.45
→ [tex]\dfrac{7}{100}[/tex] × 93.45
→ $6.47
Total cost = $(92.45 + 6.47) = $98.92.
what is the slope of the line parallel to the line whose equation is given by -y= -3x+6
-3
Solution:Lines that are parallel to each other have the same slope.Since the given line has a slope of -3, the line parallel to it also has a slope of -3.Hope it helps.
Do comment if you have any query.
An auditorium has 25 rows of seats and a total of 500 chairs.
u forgot to add a question
Will marl brainliest
how do I make a stem and leaf plot?
with pictures
Step-by-step explanation:
To make a stem and leaf plot, each observed value must first be separated into its two parts:
1)The stem is the first digit or digits;
2)The leaf is the final digit of a value;
3)Each stem can consist of any number of digits; but,
4) Each leaf can have only a single digit.
I've attached a picture for better understanding. hope this is helpful.
Sketch the graph of the function y = 3sin(2x) - 1
Answer:
Like they said, the graph should help, but the points will be baised on the x-line according to the equation.
Step-by-step explanation:
btw hope this helps gib other brainliest.
8. How many unit cubes would it take
to make a model of a rectangular
a
prism that is 11 units long x 7 units
wide X 5 units high?
Answer:
385 cubes
Step-by-step explanation:
11*7*5=385 cubes
Jameson bought movie tickets for himself and his friends and paid 105$. if he bought 7 tickets how much did each ticket cost?
can someone help me??
Answer:
15
Step-by-step explanation:
yessir
How to make all the parallelograms with an area of 24 base is 6 height is 4
Answer:
Instructions on making a parallelogram is stated below!
Step-by-step explanation:
To create a parallelogram with base measuring 6 units and the height 4 units:
1. Create the base of the parallelogram. 2. Create the height of the parallelogram.Note: The height of the parallelogram must be perpendicular to the base.
3. Then, using your compass, create the line that is parallel to the base. 4. Draw the other dimensions of the parallelogram. (The slanted sides)Rough figure:Imelda planted vegetables in of her garden. She divided the other half of her garden into 3 equal sections. She planted rose bushes in one section, tulips in the second section, and irises in the third section. Imelda says she planted tulips in of the whole garden. Which number sentence best shows whether Imelda is correct? 3 2 A 2 - 3 B 1:3-5 c {x3 = 3 2 D X Х 1 2 1 3 3
The sections of the garden is an illustration of fractions
The number sentence best shows whether Imelda is correct is 1/2 ÷ 3
How to determine the number sentence?From the question, we understand that she plants in 1/2 of the garden
Then 1/2 of the garden is divided into 3 sections, one of which is used to plant tulips
So, the area in which tulips are planted is:
Tulip = 1/2 ÷ 3
Hence, the number sentence best shows whether Imelda is correct is 1/2 ÷ 3
Read more about number sentence at:
https://brainly.com/question/24744861
Select the correct answer. This is part of an article. Which of the following is most likely to come up later in this article? A. Quotes from famous people who wear the shoe B. A discussion of how the shoe compares to others C. Advice on the kinds of clothes to buy with the shoe
Answer:
B
Step-by-step explanation:
.A discussion of how the shoe compares to othersThey would discuss how it compares to other shoes on the marketIt would give the reader/buyer an insight into the qualities of the showHope it helps ~
Which comparison is true?
A 5,000 pounds < 2 tons
B 6 pounds > 98 ounces
C 36 ounces < 2 pounds
D 4 pounds > 60 ounces
Answer: 4 pounds > 60 ounces (D)
Step-by-step explanation:
Since there are 16 ounces in a pound, you just multiply 16 (ounces) by 4 (pounds). If you evaluate 16*4, you would get 64 ounces, so 64 is greater than 60. So the answer is D.
What is the product of this binomial (2x + 4y)(x + 2y)
Which is the best estimate of the measure of this angle?
A. 105 degrees
B. 150 degrees
C. 60 degrees
D. 210 degrees
Answer:
That angle looks like a reflex angle
Step-by-step explanation:
I think D is the answer, since Reflex angles are ALWAYS be more than 180 and less than 360
I hope this helps! So srry if its wrong
A trail around a river is 3 1/4 miles long. What is the length, in feet, of the trail?
Answer: 17160 feet
Step-by-step explanation:
We know that 5280 feet = 1 mile
So all we have to do is multiply 3 1/4 by 5280
Let's split the 3 and 1/4 up to make the multiplication easier
3×5280=15840
[tex]\frac{1}{4}[/tex]×5280=[tex]\frac{5280}{4} =1320[/tex]
Now add them together
15840+1320=17160
SOMEONE HELP ME please
Answer:
the first and second one
Step-by-step explanation:
the two last ones go over budget
1) 20×30=600 30×50=1500 total is 2100
2)50×30=1500 10×50= 500 total is 2000
3) 40×30=1200 40×50=2000 total is 3100>over budget.
4) 20×30=600 60×50=3000 total is 3600> way over budget.
A line is graphed on the coordinate plane shown below. What is the equation of the line?
How could you define area?
[tex] \huge\fbox\green{ANSWER} [/tex]
Area is the amount of space taken up by a 2D shape
Answer:
The area is the extent or measurement of a surface or piece of land. You find out the area by doing the height x the Width.
Hope this helps..
Step-by-step explanation:
Greg invests $2,680 in a cd paying 7.0% interest, and $3,060 in an online savings account paying 4.5% interest. how much more interest will the cd have earned than the savings account after 1 year? a. $25.90 b. $49.90 c. $380.00 d. $499.00 please select the best answer from the choices provided a b c d
The interest will the CD has earned more than the savings account after 1 year will be $49.90. Then the correct option is B.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Greg invests $2,680 in a CD paying 7.0% interest, and $3,060 in an online savings account paying 4.5% interest.
The amount of the interest on the CD will be
→ 2680 × 0.07 = $187.6
The amount of the interest by the online savings will be
→ 3060 × 0.045 = $137.7
Then the interest will the CD has earned more than the savings account after 1 year will be
→ $187.6 - $137.7 = $49.90
More about the percentage link is given below.
https://brainly.com/question/8011401
What is the area if this parallelogram?
Answer:
32
Step-by-step explanation:
What is the shape of the graph of the function?
Answer:
B
Step-by-step explanation:
Because 0.75 is less than 1, the bigger x is, the smaller the whole thing will get. And the 4.1 in front is the starting point on the left side of the graph. Like on an actual graph with numbers:
If x is 0, f(x) is 4.1
If x is 5, f(x) is 0.97
The graph is decreasing. This is an equation and graph for "decay"
x = -4y + 36
x = 4y -28
This is using the substitution method. PLEASE HELP IM SO LOST. THIS IS DUE AT 11:59 AND IT’S 11:10 .
Solve.
9. The mass of substances left in a sample
after the liquid is evaporated is called
the total dissolved solids. Kim split up
2 liters of water into three different
samples and boiled all the liquid away
in each. The masses of solids left in the
three samples were 2.025 grams, 457 mg,
and 589 mg. Using the table at the right,
how should Kim classify the water?
Using the table at the right, Kim would have to classify the water as gaseous matter in this case.
What are the states of matter?The states of matter are the distinct form in which matter exists. There are 5 states of matter Solids; Liquids; Gaseous; Plasma; and Bose-Einstein condensate.
Kim classify the water as gaseous because she boiled all the liquid away. Hence in their evaporated state, the water now assumes a gaseous form.
The masses of solids left in the there samples were 2.025 grams, 457 mg, and 589 mg.
Matter can exist in various states. They are Solids; Liquids; Gaseous; Plasma; and Bose-Einstein condensate. (which is Man-made).
Learn more about states of matter at:
brainly.com/question/16982523
If you charge $500 on a credit card today, how much will the balance be in two years (assuming no additional fees) if the credit card has a 10% APR that is compounded—
once a week?
simple interest: i = p * r * t; compound interest would be A=p(1+r/n)^(nt)
Here, A = $500 (1.10)^2 = $605 (answer for "once per year."
Once per month:
A = $500 (1 + 0.10/12)^(12*2) = $610.20
Once per week: Can y ou figure that out? # of compounding periods is 12 per year in this problem.