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Related Questions
Josh plans to make bird houses to sell at a craft fair the sample of wood he uses has an area of 1/5 square foot in weighs 1/2 lb the local hardware store sells the wood only by the square yard there are 9 square feet in 1 square yard
a. how many pounds of the wood are there in 1 square yard?
b. if Josh needs three square yards of the woods in all how many pounds of the wood does he need
Answers
Answer: a.) 22.5 lb and b.) 67.5 lb
Step-by-step explanation:
a.Weight of 1/5 square foot sample of wood = 1/2 lb
Multiplying 5 on both sides we get ,
weight of 1 square foot sample of wood=1/2×5=5/2 lb
Now, 1 square yard = 9 square feet
Thus weight of sample of wood in 1 square yard = 9 ×weight of 1 square foot sample of wood=9×5/2=45/2=22.5 lb
b. Weight of three square yards of wood=3 times weight of wood in 1 square yard
=3×22.5=67.5 lb
Each square foot of wood weighs 2.5 lbs, so one square yard (or 9 square feet) weighs 22.5 lbs. Josh would therefore need 67.5 lbs of wood to construct his birdhouses.
Explanation:This question requires a basic understanding of ratio and proportion. The information given is that Josh's sample of wood, which covers an area of 1/5 square foot, weighs 1/2 lb. However, wood is sold by the hardware store in square yards, and we know that 1 square yard equals 9 square feet.
In other words, each single square foot of wood weighs 2.5 lbs (1/2 lb divided by 1/5). So, the weight of 1 square yard of wood (9 square feet), would be 2.5 lbs per square foot times 9, or 22.5 lbs.
If Josh needs three square yards of wood for his birdhouses, he would therefore need 3 times 22.5 lbs, or 67.5 lbs.
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Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many Tala would she get if she exchanged $6?
Can you please write a proportion with the answer?
Answers
Answer:
18 Tala.
Step-by-step explanation:
1. You have that Ming learned that the exchange rate is 6 Tala for $2. Therefore, if she exchanged $6, she would get:
[tex]\frac{6}{2}=\frac{x}{6}[/tex]
2. Now, you must solve for [tex]x[/tex], which is sthe amount of Tala:
[tex]x=\frac{(6)(6)}{2}\\x=\frac{36}{2}\\x =18[/tex]
3. Therefore, she would get 18 Tala.
Can u answers the rounded questions
Answers
Answer 1:
[tex]\frac{x^{2} -x+1}{x^{2} +x+1}[/tex]
Here given that, x is real that is the domain
Range of the given expression is :
[tex]\frac{1}{3} \leq y\leq 3[/tex]
Write it interval form.
[tex][\frac{1}{3},3][/tex] Option (2)
Answer 3:
[tex]\frac{11x^{2} +12x+6}{x^{2} +4x+2}[/tex]
Here domain is all real x.
Range is :
{y ∈ R : y ≤ -5 or y ≥ 3}
In interval form:
(-∞, -5] ∪ [3, ∞)
So, y can't lies between -5 to 3 Option (2)
Answer 5 :
[tex]\frac{x^{2} -3x+4}{x^{2} +3x+4}[/tex]
Here domain is :
x is real
And range is :
{y ∈ R : [tex]\frac{-1}{7}[/tex] ≤ y ≤ 7}
We see that maximum y value is 7.
So, maximum value is 7. Option (4)
Answer 6:
[tex]\sqrt{9x^{2}+6x+1 } < (2 -x)[/tex]
Solve for x .
Square both the side
9x² + 6x + 1 = 4 + x² - 4x
8x² + 10x - 3 < 0
(2x + 3)(4x - 1) < 0
2x + 3 = 0 & 4x - 1 = 0
x = [tex]\frac{-3}{2}[/tex] & x = [tex]\frac{1}{4}[/tex]
So,
[tex]\frac{-3}{2} < x < \frac{1}{4}[/tex]
x ∈ [tex](-\frac{3}{2} , \frac{1}{4} )[/tex] Option (1)
how to multiply decimals
Answers
Multiply normally, ignoring the decimal points.
Then put the decimal point in the answer - it will have as many decimal places as the two original numbers combined.
So, 16.04 (5.25)=84.21
Answer:
Step one- You first get the decimals -example-( 3.2 x 2.4 )
Step two- You then put the biggest decimal at the top and smallest at the bottom -example-( 3.2
x 2.4 )
You can take away the decimal points for now if it helps.
Step three- You multiply the first number, in this case, the first number is 4. Then multiply the 4 by the top numbers ( Only multiply the 4 an the 2 then multiply the 4 and the 3.)
Then you do the same to the 2 at the bottom.
After you finish multiplying that, then you add the numbers leftover.
Finally you count how many numbers are behind the decimal. In this case, there are 2 numbers behind the decimal, so you would put the decimal 2 numbers behind.
You will begin to see how it works.
EXAMPLE OF ME DOING THE PROBLEM.
Simplify a^2+ab-2b^2/a^2-2ab-3b^2
Answers
a4b2 + 2a4 - 12a3b - 2ab3 - 4b2
———————————————————————————————
2a2
One bar of candy A and two bars of candy B have 774 calories. Two bars of candy A and one bar of candy B contains 786 calories. Find the caloric contents of each candy bar
Answers
Let the calorie content of Candy A = a
and the calorie content of Candy B = b
◆ Form the equations:
One bar of candy A and two bars of candy B have 774 calories. Thus:
a + 2b = 774
Two bars of candy A and one bar of candy B contains 786 calories
2a + b = 786
◆ Solve the equations:
From first equation,
a + 2b = 774
=> a = 774 - 2b
Put a in second equation
2×(774-2b) + b = 786
=> 2×774 - 2×2b + b = 786
=> 1548 - 4b + b = 786
=> -3b = 786 - 1548
=> -3b = -762
=> b = -762/(-3) = 254 calorie
◆ Find caloric content:
Caloric content of candy B = 254 calorie
Caloric content of candy A = a = 774 - 2b = 774 - 2×254 = 774 - 508 = 266 calorie
Graven spent $55.20 on gasoline to fill her 15 gallon tank at another gas station project spent $72.80 of gasoline to fill her 20 gallon tank. who paid less per gallon of gasoline explain your reasoning
Answers
You must find the unit cost in dollars per gallon for each purchase by dividing the cost by the number of gallons.
Graven: $55.20 for 15 gallons
$55.20/(15 gal) = $3.68/gal
Project: $72.80 for 20 gallons
$72.80/(20 gal) = $3.64/gal
Answer: Project paid less per gallon.
a slot machine has one to nine odds of winning a prize on any given play. what is the probability of a win?
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The chance of winning is 1/9
Explain how you can tell that two figures are congruent ?
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What does congruent mean?
Same in shape and size, can be flipped, side or turned.
Example:
We have 2 diamonds, if they are fliped, side or turned, they are congruent.
If there is a same shape but different size, it is not congruent!
Hope it helps!
-2/3(1/2)(-6/7)= answere is ?
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Exact Form: 2/7
Decimal Form:0.285714 (this is also a repeating decimals)
What is the GCF of 42, 28, and 70?
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Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
Factors of 28: 1, 2, 4, 7, 14, 28
Factors of 70: 1, 2, 5, 7, 10, 14, 35, 70
The greatest common factor of 42, 28, and 70 is 14.
[tex]\boxed{=14}[/tex]
Hope this helps!
And thank you for posting your question at here on brainly, and have a great day.
-Charlie
1, 2, 4, 7, 14, 28
The factors of 42 are:
1, 2, 3, 6, 7, 14, 21, 42
The factors of 70 are:
1, 2, 5, 7, 10, 14, 35, 70
The common factors are:
1, 2, 7, 14
In his last game,the Rams' quarterback completed 10 out of 18 passes he threw. At this rate how many passes will he attempt if he completes 15 passes?
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at this rate, he will have attempted 27 passes. we can find this by setting the problem up into a proportion: 10/18=15/?
once we solve the proportion, we get that he attempted 27 passes in order to complete 15
Final answer:
To solve for the number of passes the quarterback will attempt to complete 15 passes, we set up a proportion based on the completed 10 out of 18 passes. By cross-multiplying and solving for the unknown, we find that the quarterback would need to attempt 27 passes.
Explanation:
The question is asking us to find out how many passes the Rams' quarterback will attempt if he is to complete 15 passes, given that he completed 10 out of 18 passes in his last game. This is a proportion problem in mathematics where we set up a ratio of completed passes to attempted passes and solve for the unknown.
We know the quarterback completed 10 passes out of 18 attempts, so the ratio of completed to attempted passes is 10/18. If we want the quarterback to complete 15 passes, we can set up the proportion as:
10/18 = 15/x
where x represents the number of passes that the quarterback will attempt. To solve for x, we cross-multiply:
10(x) = 18(15)
x = (18(15))/10
x = 27
Therefore, the quarterback will have to attempt 27 passes to complete 15 passes at the same completion rate.
Please help answer the two questions in the photo
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The given pentagon can be divided into two figures : a triangle and rectangle as shown in figure.
Let us find area of each figure separately.
Triangle:
Area of triangle is given by:
[tex]A=\frac{1}{2}*b*h[/tex]
where b=base and h=height
Height of triangle :
h=(3x+5)-(2x+1)
h=x+4
Base = 2x-2
[tex]A=\frac{1}{2}*(x+4)(2x-2)[/tex]
Area of triangle= (x-1)(x+4) = x²+3x-4
Area of rectangle:
Area of rectangle is given by:
A=l*b
[tex]A=(2x-2)(2x+1)[/tex]
Area of rectangle = 4x²-2x-2
Area of pentagon = Area of triangle + Area of rectangle
Area of pentagon = x²+3x-4 + 4x²-2x-2
Area of pentagon = 5x²+x-6
If area of pentagon is 42 cm², then solving for x,
[tex]42=5x^{2}+x-6[/tex]
[tex]5x^{2}+x-48=0[/tex]
Factorising to get x,
x=-3.2 and x=3
If we take x as negative the side will be negative, so we neglect x=-3.2
So x=3 is the answer.
is 6.565656... rational?
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yes it would be rational
Since repeated decimals are rational in nature, hence, 6.565656... is rational
Rational numbers are numbers that can be written as the ratio of two integers. For example:
1/2, 3/4, are rational numbersAll repeating decimals are also classified as rational numbers. For example:
pi is a repeating decimalThe given decimal value 6.565656... is a repeating decimal. The three dots after the decimal values shows that the number is a repeating decimal.
Since repeated decimals are rational in nature, hence, 6.565656... is rational
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The minute hand of a clock is 8 inches long and moves from 12 to 8 o’clock. How far does the tip of the minute hand move?
Answers
The minute hand is like an eight inch radius of a circle, whose circumference would equal 2 * PI * 8 = 50.265 inches. By moving to 8 o'clock, it travels 2/3 of the circumference or 50.265 * 2/3 = 33.510 inches
if the minute hand is 8 inches long, it shows the radius of the circle of the clock.
thus, the circumference of the circle (boundary)= 2πr
= 2X 3.14 X 8 ( wherein, r= radius= 8; π= 22/7 or 3.14)
= 50.27 inches.
The length between each two consecutive no.s on the clock = 50.27/12 = 4.19
Thus, the length moved n=by the tip of the minute hand= 4.19X8
= 33.44 inches
Hope that this would be correct .
I need some tips and examples for subtracting integers. Appreciated!
Answers
one tip:
Example: 4 - (-3)
it instantly becomes positive because the negatives are close to each other as shown.
hope that helps :)
Since an integer is any whole (not fractional) number on the number line, all you have to do is move to the left however many units you're subtracting by from the point given. Say the problem is 3 - 7. This means we start at 3, and move to the left 7 units, which lands us at -4. However, if we had a problem like 12 - (- 2), the two negatives would cancel out, meaning we will move to the right 2 units on the number line, or 12 + 2, which is 14. Some other examples are:
-12 - 4, (you should get -16)
3 - 8, ( you should get -5)
16 - (- 3), ( you should get 19)
I hope these tips helped you out! I know that when I first had to subtract integers, using a number line really helped me out. Eventually, it'll just be a natural thing. :D
Find the slope of the linr through the given points.
(-3,-11) and (1,1)
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y2-y1 / x2-x1
1 + 11 / 1 + 3
12 / 4
3 is the slope
you have violin lessons every forth day and singing lessons every fifth day.Today you have both lessons .In how many days will you have both lessons on the same day again?
Answers
Answer:
every 20 days
Step-by-step explanation:
A truck can be rented from company a for 130 dollars a day plus .30 per mile. Company b charges 60 dollars a day plus .50 per mile to rent the same truck. Find the number of likes in a day at witch the rental costs for both companies are the same
Answers
We know that Company B will be less expensive at first, but Company A will become a better option as the miles rack up. Eventually, Company A will be less expensive. There will be a point where the price will be the same for each company.
150 + .20x = Company A
70 + .40x = Company B
If we set these two equations equal to each other, we find out when the price will be the same.
150 + .20x = 70 + .40x
If we solve for x, we find out how many miles must be driven in a day to make the rental cost the same. After that, Company A will be a better deal.
At 350 miles, the rental costs for company A and company B become the same. This result is found by setting the two cost functions equal to each other and solving for the number of miles.
Explanation:To find when the rental costs from both companies are the same, you need to set the expenses equal to each other and solve for miles (m). The cost for company A can be represented as 130 + 0.30m (130 dollars for the daily rental and 0.30 dollars per mile) and the cost for company B is represented as 60 + 0.50m (60 dollars for the daily rental and 0.50 dollars per mile).
Upon setting the costs equal to each other: 130 + 0.30m = 60 + 0.50m, and simplifying, you'll get 0.20m = 70. Therefore, by dividing by 0.20, m = 350.
So, at 350 miles, the rental costs for both companies A and B are the same, with each charging the same amount for the truck rental.
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79 POINTS NOT A HARD QUESTION
I NEED HELP ASAP
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answer: [tex]x = \frac{5}{8}[/tex]
work:
[tex]\frac{4}{5} (2x + 5) - 4 = 1[/tex] | distribute [tex]\frac{4}{5}[/tex] into the parentheses
[tex]1\frac{3}{5}x + 4 - 4 = 1[/tex] | cancel out the + 4 and -4 because they equal to 0
[tex]1\frac{3}{5}x = 1[/tex] | divide by [tex]\frac{3}{5}[/tex]
[tex]x = \frac{5}{8}[/tex] | final answer
hope this helps! correct me if anything is wrong ❤ from peachimin
Which lines or segments are parallel? Justify your answer
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B and E with C and G
The cable provider's "triple pay" package offers a land line, internet service, and cable TV for one fixed price. If you already have their cell phone service they offer an additional 12% off the price of the triple pay package. If the discounted price of the triple pay is $132, what is the price of the package without the discount? Pls help... WILL MARK BRAINLIEST!!!!!!!
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let x be the price before the discount
If you get 12% off, then you only pay the remaining 88% (since 88%+12% = 100%). This means if you take 88% of the original price (x), then you get the final price (132)
In terms of an equation, we have,
88% of (original price) = final price
(88/100)*(x) = 132
0.88*x = 132
0.88*x/0.88 = 132/0.88 <--- divided both sides by 0.88
x = 150
--------------------------------------------
Answer: The price without the discount is $150
LN= 6x-5 , LM= x + 7 , and MN= 3x + 20 find MN
Answers
Answer: 68
Step-by-step explanation:
LM + MN = LN
x + 7 + 3x + 20 = 6x - 5
4x + 27 = 6x - 5
-4x -4x
27 = 2x - 5
+5 +5
32 = 2x
÷2 ÷2
16 = x
MN: 3x + 20
3(16) + 20
48 + 20
68
This question is based on a principle in Mathematics called the Midpoint of a linelineline
Based on this question, the line = LNLN
To solve this question, we have the expression
LM + MN = LN
Step 1
We solve for x
Given that: LN= 6x-5 , LM= x + 7 , and MN= 3x + 20
Hence,
x + 7 + 3x + 20 = 6x - 5
Collect like terms
7 + 20 + 5 =6x - x - 3x
32 = 2x
Divide both sides by the coefficient of x = 2
32/2 = 2x/2
x = 16
The value of x = 16
Step 2
Find MN
Given that : MN= 3x + 20 and x = 16
We substitute 16 for x in MN
MN = 3(16) + 20
MN = 48 + 20
MN = 68
Therefore, the value of MN is 68.
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when two triangles are congruent 3 sides are?
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The function, "f" is defined by the following rule. f(x)=x-5 Complete the table.
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The table is shown in figure.
Here,
Function is given as;
f (x) = x - 5
We have to complete the table.
What is Function?
A relation between a set of inputs having one output each, is called Function.
Now,
Function is given as;
f (x) = x - 5
Hence, after putting all the given values of x, we get;
Put x = -1,
Then, f (x) = -1 - 5 = - 6
Put x = 0
Then, f (x) = 0 - 5 = -5
Put x = 1
Then, f (x) = 1 - 5 = -4
Put x = 2
Then, f (x) = 2 - 5 = -3
Put x = 4
Then, f (x) = 4 - 5 = -1
Therefore, All values of f (x) are;
⇒ -6, -5, -4, -3, -1
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SUPER EASY LOTS OF POINTS! just problems 5-21
Don’t worry about bottom part :)
Thank you!
Answers
3) is actually 28
4) is -40
5)-24
6)45
7) v is (-39)
8)56
9)42
10)-72
11)60
12)200
13) k is (-198)
14)-50
15)180
16)54
17)-55
18)144
19)-9
20)38
21)96
these are not hard, dont be lazy!!
What is the quotient (3x2 + 4x − 15) ÷ (x + 3)? (1 point)
Answers
Answer:
the answer is 3x-5
Step-by-step explanation:
break the expression in to groups
3x^2 + 4x -15 = (3x^2 -5x) + (9x-15)
factor out x from 3x^2 -5x: x(3x-5)
factor out 3 from 9x-15: 3(3x-5)
=x(3x-5) +3(3x-5)
factor out common terms
(x+3) (3x-5)
=((x+3) (3x-5)) / (x+3)
cancel the common factor x+3
=3x-5
The quotient for the expression is equal to 3x-5.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Break the expression into groups
3x² + 4x -15 = (3x² -5x) + (9x-15)
Factor out x from 3x^2 -5x: x(3x-5)
Factor out 3 from 9x-15: 3(3x-5)
=x(3x-5) +3(3x-5)
Factor out common terms
(x+3) (3x-5)
=((x+3) (3x-5)) / (x+3)
Cancel the common factor x+3
=3x-5
Therefore, the quotient for the expression is equal to 3x-5.
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I need help again PLEASE
Answers
Number 3: D
Number 4: C
what is 58.14 kg into a lb
Answers
It is 128.1 pounds.....
Answer:
There is 127.91lbs in that many kilograms.
Step-by-step explanation:
In order to find this, you need to know the unit rate. There is 2.2lbs in every kilogram. Therefore, we can multiply the number of kilograms that we have by 2.2 to get the correct answer.
58.14*2.2 = 127.91
Sean mows lawns in the summer. He charges the same fixed amount for each lawn that he mows. As of today , he has earned $36 after mowing 3 lawns. a. Create an input -‐ output table using the headings “Number of lawns mowed” for the input and “Amount of money in dollars” for the output. Fill in the appropriate values for Sean’s current situation. Then fill in several other rows of information that fit the situation. For example, what if Sean has mowed 8 lawns? 12 lawns?
Answers
Step-by-step explanation:
Well we won't give you the table, but it's pretty easy. It's a fixed rate so you know he charges the same thing every time. 36 / 3 = 12
So if he mows the lawn and gets paid $12 each time, you can multiply everthing in your x input to get your y output. So for x = 8 your y output would be y = 96 because 12 * 8 = 96