Answer:
[tex](31x)\times 16\%[/tex]
Step-by-step explanation:
Given: Discount offered is 16% on 20 or more job posting.
x dollars is charged on every job posting on website.
Now, lets find the discount on 31 job posting.
∴ Total cost on 31 job posting = [tex]\textrm{charges for one job posting}\times \textrm{Total number of job posting}[/tex]
⇒ Total cost on 31 job posting= [tex]x\times 31= \$ 31x[/tex]
As we know 16% discount been offered for 20 or more job posting
∴ Discount offered on 31 job posting = [tex]31x\times 16\%[/tex]
Discount offered by JobFind to the employer is [tex](31x)\times 16\%[/tex]
Final answer:
The discount percentage for posting 31 jobs on JobFind is 16%, which remains constant as it meets the criteria of posting 20 or more jobs.
Explanation:
To express the discount as a percent for an employer posting 31 jobs on JobFind, we need to calculate the percentage reduction based on the original price. Since 31 jobs qualify for a 16% discount, the calculation is straightforward.
Given:
The original discount offered is 16% for 20 or more jobs.
The number of jobs being posted is 31, which exceeds the 20 job threshold.
Hence, the discount percentage for 31 jobs remains the same as the original discount percentage, which is: 16%.
No further calculations are necessary because the question simply asks to express the given discount, not to calculate the total discounted amount or savings.
Determine which expression(s) best describes the function, ƒ(x ) = x - 1. Choose all that apply.
1)Given any two coordinates that lie on the graph of the function, the Pythagorean Theorem can be used to determine the midpoint of the function.
2)The function has an x-intercept of (3, 0).
3)The function has a y-intercept of (0, -1).
4)The slope is sometimes consistent for any pair of coordinates that lie on the graph of the function.
5)For a right triangle with a vertical side length of 1 unit and a horizontal side length of 6)3 units, if one point of the hypotenuse of the triangle is on the graph of the function, then so is the other.
Answer:
The function has a y-intercept of (0,-1).
Step-by-step explanation:
The given function is f(x) = x - 1 .......... (1)
Now, we have to choose from the statements given in options that best describe the function.
I think option 3 is the only statement that describes the function well.
Option 3 states that the function has a y-intercept of (0,-1).
If we put x = 0 in the function then will get y = - 1.
So, the function (1) has y-intercept at (0,-1). (Answer)
Final answer:
Only statement 3 is correct, which states that the function (x) = x - 1 has a y-intercept of (0, -1). The function's x-intercept is actually (1, 0), the slope is consistently -1, and the other statements are either incorrect or irrelevant.
Explanation:
We are asked to determine which expressions best describe the function (x) = x - 1.
The first statement is incorrect because the Pythagorean Theorem is used to determine distances and relationships in right-angled triangles, not midpoints of functions.The second statement is incorrect. The x-intercept is found when (x) = 0, so setting x - 1 = 0 gives x = 1. Thus, the x-intercept is (1, 0), not (3, 0).The third statement is correct. The y-intercept of a function is the point where it crosses the y-axis. For the function (x) = x - 1, the y-intercept is (0, -1) as f(0) = -1.The fourth statement is incorrect because the slope of the function is consistent across the entire graph for a linear function. 'Sometimes' suggests variability which doesn't apply here.The fifth statement is irrelevant to the question since there is no information given regarding a right triangle related to the function (x) = x - 1.Therefore, only statement 3 correctly describes the function (x) = x - 1.
Use the Distributive property to expand the expression y(9-0.2x)
Answer:
9y - 0.2xy is the answer after applying Distributive property.
Step-by-step explanation:
Given:
[tex]y(9-0.2x)[/tex]
To Find:
Expression after applying Distributive property.
Solution:
Distributive property:
In Distributive property, it lets you multiply a sum by multiplying each addend separately and then add the products.
OK, that definition is not really helpful for most people. It is easier to understand the meaning if you look at the examples below.
i.e A (B + C) = A×B + A×C
On Applying Distributive property to the given expression we get,
[tex]y(9-0.2x)=y\times 9-y\times0.2\times x\\y(9-0.2x)=9y-0.2\times x\times y[/tex]
[tex]\therefore y(9-0.2x)=9y-0.2xy \ \ \ \textrm{we can write xy or yx it same as 2*3 = 3*2 = 6}[/tex]
9y - 0.2xy
is the answer after applying Distributive property.
The expression y(9-0.2x) expands to 9y - 0.2xy using the distributive property, where y is multiplied by each term inside the parentheses.
Explanation:To expand the expression y(9-0.2x) using the distributive property, you multiply y by each term inside the parentheses. Applying the distributive property, we get:
y × 9 - y × 0.2x
Which simplifies to:
9y - 0.2xy
This is the expanded form of the given expression.
Review the expression below -2(a+b-5)+3(-5a+2b)+b(6a+b-8)
Answer:
6ab + b^2 - 17a - 4b + 10
Step-by-step explanation:
-2(a+b-5)+3(-5a+2b)+b(6a+b-8)
Now we break the parenthesis. To break that, we multiply each of the value inside the parenthesis by the adjacent number. That is, for the first part of the expression, we multiply by -2, then by 3, and then by b.
Algebraic Operations need to be considered:
[ (-) x (-) = (+); (-) x (+) = (-)]
= [-(2*a) + (-2*b) - (-2*5)] + [3*(-5a) + (3*2b)] + [(b*6a) + (b*b) - (b*8)]
= -2a - 2b +10 -15a + 6b + 6ab + b^2 - 8b
Now, we will make the adjustment by the similarity value.
= - 2a - 15a - 2b + 6b - 8b + 6ab + b^2 + 10
= - 17a - 4b + 6ab + b^2 + 10
= 6ab + b^2 - 17a - 4b + 10
Therefore, the answer of the expression is = 6ab + b^2 - 17a - 4b + 10
What a proportion and a ratio
In mathematics, a ratio is the comparison of two numbers or quantities which is an amount, measurement, or number.
For example, a ratio can be used to compare the number of shaded rectangles to the number of unshaded rectangles. In the first image, I provided an image of what this ratio would look like.
A proportion is a pair of ratios that are equal to each other.
If we're asked to determine if two ratios can form a proportion, we really want to see if the ratios are equal to each other. It's important to understand that if two ratios are equal, they form a proportion.
come quic 5 qts .. pics provided !! answer correctly plz!!
Answer:
First one is D.
Second one is A.
Step-by-step explanation:
(y2 - y1) ÷ (x2 - x1)(-3,-2) and (4,0)(0 + 2) ÷ (4 + 3)2/7Slope = 2/7(3,5) and (-2, -4)(-4 - 5) ÷ (-2 - 3Slope = -9/-5Two negatives equal a positive. An experiment shows that the element
mercury has a density of 13.57 g/cm². What is
the volume of 1.000 kg of pure mercury?
A. 0.7369 cm3 C. 73.69 cm3
B. 13.57 cm3 D. 1,357 cm3
Answer:
C
Step-by-step explanation:
D=m/v
Rearranging the formula
v=m/D
V=1000/13.56
V=73.69 cm3
Answer:
v = 73.69 cm²
Step-by-step explanation:
V = m/p
Where,
v is volume
m is mass
p is density
So,
v = 1000 / 13.57
v = 73.69 cm²
I believe that this maybe a wrong answer because 1000 kg is suppose to be converted to g but since the answer (which is 73692 cm³) would not meet any of the options, I would have to go for that answer.
Explain the process to add two integers that have the same sign.
Answer:
When adding two integers with the same sign, keep the sign and add the absolute value of each number
Step-by-step explanation:
Answer:
keep the sign and add each number
Step-by-step explanation:
-3(5a - 5) + 6a = 31 – 5a
Hey there! :)
-3(5a - 5) + 6a = 31 - 5a
Simplify! -15a + 15 + 6a = 31 - 5a
We must get all variables to one side and everything else to the other so that we can add like terms, so we can start by subtracting 15 from both sides. Additionally, add 5a to both sides.
-15a + 6a + 5a = 31 - 15
Simplify.-4a = 16
Divide both sides by -4.
-4a ÷ -4 = 16 ÷ -4
Simplify.
a = -4
~Hope this helped! :)
Answer:
[tex]a = 4[/tex]
Step-by-step explanation:
[tex] - 3(5a - 5) + 6a = 31 - 5a[/tex]
Solve the brackets.
[tex] - 15a + 15 + 6a = 31 - 5a[/tex]
Combine like terms.
[tex]-9a + 15 = 31 - 5a[/tex]
Take -5a to left side and 15 to the right.
[tex]-9a + 5a = 31 - 15[/tex]
Combine like terms.
[tex]-4a = 16[/tex]
Divide both sides by -4.
[tex]a = -4[/tex]
Brenda and her best friend went on a vacation together. They both paid for a flight, and Brenda had a fancy room for $150 per night, for a total of $1,500. Her friend had a smaller room for $120 per night, for a total of $1,320.
Part A
Write and solve a system of linear equations to find the cost of the flight, x, and the number of nights on their vacation, y. Complete the equation for Brenda's costs first.
______x + ______y = _______
______x + ______y = _______
The flights were $___ each, and they stayed ___nights.
Part B
If a third friend joined them and stayed in a mid-range room for $130 per night, how much would her vacation cost?
Answer:
A. 2x + 150y = 1,500
2x + 120y = 1,320
The flights were $300 each, and they stayed 6 nights.
B. $1,380
Step-by-step explanation:
Let x be the cost of the flight (in one side) and y be the number of nights on their vacation.
A. Brenda had a fancy room for $150 per night, then she paid $150y for y nights. Brenda's total is $1,500, then
[tex]150y+2x=1,500[/tex]
Brenda's friend had a smaller room for $120 per night, then she paid $120y for y nights. Brenda's friend total is $1,320, then
[tex]120y+2x=1,320[/tex]
Subtract two equations:
[tex]150y+2x-120y-2x=1,500-1,320\\ \\30y=180\\ \\y=6[/tex]
Substitute into the first equation:
[tex]150\cdot 6+2x=1,500\\ \\900+2x=1,500\\ \\2x=600\\ \\x=300[/tex]
Hence
2x + 150y = 1,500
2x + 120y = 1,320
The flights were $300 each, and they stayed 6 nights.
B. If a third friend joined them and stayed in a mid-range room for $130 per night, then he paid [tex]\$130\cdot 6=\$780[/tex]
The total cost is
[tex]\$780+\$600=\$1,380[/tex]
Please answer this correctly is the answer
8:29am
1:29pm
11:53am
1:17am
Answer:
8:29 AM
Step-by-step explanation:
The plane will arrive in California at 10:89 or 11:29 AM (eastern time) .From the eastern time period to the pacific time period, the time will decrease by 3 hours. 11:29 AM -3 hours is 8:29 AM. So when the plane arrives in California, the time should be 8:29 AM Pacific time.
Hi....................
good evening ,
Answer:
The right answer is the first one
Step-by-step explanation:
Area = length × width
m = (1/5)×(2/3).
:)
How is the information in the "Before" section of the "Volcanoes" page
organized?
O
A. The section provides information on how to protect your family
and your property in the event of a volcanic eruption.
B. The section points out things to be aware of and what to avoid
should a volcanic eruption occur near your home.
O
C. The section directs you to more information on volcanic eruptions
and links to related websites.
O
D. The section describes things that you can do to ensure your safety
in the aftermath of a volcanic eruption.
Answer:
ChatGPT 3.5
Log in
The section provides information on how to protect your family
and your property in the event of a volcanic eruption.
ChatGPT
Protecting your family and property during a volcanic eruption involves several key steps:
Stay Informed: Monitor local news and authorities for updates on volcanic activity. Follow evacuation orders promptly.
Emergency Kit: Prepare an emergency kit with essentials such as water, non-perishable food, medications, and first aid supplies.
Evacuation Plan: Have a family evacuation plan in place. Identify multiple evacuation routes and meeting points.
Protective Gear: Keep protective gear such as N95 masks and goggles on hand to shield against ash and debris.
Shelter: If advised to stay indoors, close all windows and doors. Use damp towels to block gaps and protect against ash.
Animals and Livestock: Arrange for the care and evacuation of pets and livestock.
Document Protection: Safeguard important documents like identification, insurance papers, and property records in a waterproof container.
Communication: Ensure everyone in your household knows how to communicate during emergencies, and have a designated out-of-area contact.
Post-Eruption Safety: Be cautious of post-eruption hazards such as lahars (mudflows), ashfall, and potential secondary eruptions.
Recovery: Follow official guidance before returning home. Be prepared for potential disruptions to utilities and infrastructure.
By taking these precautions and staying informed, you can help protect your family and property during a volcanic eruption.
write the equation y-1=7(x+5) in standard form?
Answer:
-7x+y=36
Step-by-step explanation:
y-1=7(x+5)
y-1=7x+35
y=7x+35+1
y=7x+36
36=y-7x
36=-7x+y
-7x+y=36
The equation y - 1 = 7(x + 5) is transformed into the standard form by distributing, rearranging terms, and manipulating to ensure a positive coefficient for x, resulting in 7x - y = -36.
Explanation:To write the equation y - 1 = 7(x + 5) in standard form, we first distribute the 7 to both terms within the parentheses which results in y - 1 = 7x + 35. Then, to ensure both variables are on one side of the equation and the constant is on the other, as required by the standard form, we subtract 7x from both sides. This gives us -7x + y = 36. Normally, standard form is written with the coefficient of x being positive, so to achieve this, we multiply the entire equation by -1, resulting in 7x - y = -36. So, the equation y - 1 = 7(x + 5) in standard form is 7x - y = -36.
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Troy and two of his friends do
yard work for Troy's dad. After
Troy's dad paid $35 for gas
and expenses, the boys made
$128 in October. How much
will each boy make?
Answer: Each boy gets $31.
Step-by-step explanation:
The data we have is:
We have 3 kids (Troy and two friends)
The father paid $35 for gas and expenses.
The boys made $128.
Then we have $128 divided equally into 3 boys.
But those $35 of expenses must be returned for the dad (guess that the gas and expenses are things neede for the kids)
So the amount that they can divide is $128 - $35 = $93
then each boy gets N = $93/3 = $31
HELP I REALLY NEED SLMEONER TO DO THIS IS HAVE NO IDEA HOW, please do all and show work or as many questions as u can. WILL MARK BRAINLIEST!!
SHOW WORK
It looks like you are good up to problem 4 so I will start there. I believe this is practice worksheet featuring the pyth. theorem. The pyth. theorem is used to find the length of sides in a right triangle notable the hypotenuse (side opposite of 90 degree angle).
4. The monitor is a rectangle but that does not stop you from constructing a right triangle. The smaller lengths are 16 in and 12 in respectively. The hypotenuse of the triangle is the diagonal of the rectangle. To find the length use the pyth. theorem.
diagonal^2 = 16^2+12^2
diagonal = 20 in
7. You know the speeds of both trains and the time spend traveling. You know they are traveling at a 90 degree angle so you can use pyth. theorem. But wait... you need to find the distances traveled for both trains. You can find that though because speed x time = distance.
50mph x 3hrs = 150mi
40mph x 3hrs = 120mi
The distance between the trains after 3 hours is the hypotenuse which can be determined by pyth. theorem.
distance^2 = 150^2+120^2
distance = 192 mi approx.
8. First find length of one piece of wiring. Use pyth theorem. Actually 3,4,5 pyth. triplet in which 5 is the hypotenuse. So you have 5 ft for the length of one piece of wiring. How many pieces of wiring do you need? Well, each tree needs 3 pieces and there are 6 trees so you need 18 pieces.
18 x 5 = 90 ft of wiring
From the work I see, you have a great understanding of the pyth. theorem. Keep it up!
Baking
There are 4 sticks in one pound
of butter. Each stick is equal to
8 tablespoons or cup. The recipe
that Samantha is making calls for
13 cups of butter. How many sticks
of butter does she need? What is
the weight of the butter she needs
for her recipe?
Answer:
26 sticks of butter; 6 and a half pounds (6lbs, 8 ounces)
Step-by-step explanation:
We know from the question that each stick of butter weighs 0.25 pounds or 4 ounces
(There are 16 ounces in a pound)
We also know that each stick of butter is equal to 8 tablespoons.
(There are also 16 tablespoons in a cup)
Therefore, you need 2 sticks of butter to make 1 cup of butter. The recipe calls for 13 cups of butter. 13•2 is equal to 26. So it takes 26 sticks of butter to make 13 cups of butter. And if each sticks weighs 0.25 pounds, we can work out 26•0.25 to get 6.5 pounds.
Hope it helped!
what percentage of Priya's distance did Tyler walk
Answer:
whats priya and tylers distance?
7. Noah has 4 cm of a sweater already completed. He knits 2 cm per hour.
What would be the total length of sweater after 3 hours of knitting?
Answer:
10 cm
Step-by-step explanation:
if he knits 2cm per hour we can times it by 3 hours and get 6cm then he already had 4cm done so we will need to add that to it and get 10cm
It takes 30 cups of milk to make 4 sticks of butter. find the unit rate
It takes 7.5 cups of milk to make 1 stick of butter.
Step-by-step explanation:
Given,
Cups of milk used = 30 cups
Sticks of butter made = 4
Unit rate describes how many units of one quantity corresponds to 1 unit of other quantity.
We will find unit rate per butter stick.
Unit rate per butter stick = [tex]\frac{cups\ of\ milk\ used}{No.\ of\ butter\ sticks}[/tex]
Unit rate per butter stick = [tex]\frac{30}{4} = 7.5\ cups\ of\ milk\ per\ butter\ stick[/tex]
It takes 7.5 cups of milk to make 1 stick of butter.
Keywords: unit rate, division
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Create the linear equation from the points (3,3) and (1,-5).
Answer:
[tex]-4x + y = -9\:or\:y = 4x - 9[/tex]
Step-by-step explanation:
First, find the rate of change [slope]:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-3 - 5}{-3 + 1} = \frac{-8}{-2} = 4[/tex]
Then, plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done much swiftly that way. It does not matter which ordered pair you choose::
−5 = 4 + b
[tex]\displaystyle -9 = b \\ \\ y = 4x - 9[/tex]
If you want it in Standard Form:
y = 4x - 9
- 4x - 4x
_________
[tex]\displaystyle -4x + y = -9[/tex]
_______________________________________________
3 = 4[3] + b
12
[tex]\displaystyle -9 = b \\ \\ y = 4x - 9[/tex]
y = 4x - 9
- 4x - 4x
_________
[tex]\displaystyle -4x + y = -9[/tex]
** You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.
I am joyous to assist you anytime.
The linear equation created from the points (3,3) and (1,-5) is y = 4x - 9, found by first calculating the slope, then finding the y-intercept.
Explanation:To create a linear equation from two points, you need to find the slope and y-intercept. Let's use the two points given: (3,3) and (1,-5). The slope (m) is found using the formula [tex](y2 - y1) / (x2 - x1),[/tex] so [tex]m = (-5 - 3) / (1 - 3) = -8 / -2 = 4[/tex]. Next, use the y = mx + b formula to find the y-intercept (b). Substituting one of the points and the slope, we get: [tex]3 = 4 * 3 + b[/tex], solving for b, gives b = -9. So, the linear equation is [tex]y = 4x - 9.[/tex]
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Fred has $27 to buy sketch paper for his art class. Each sketch pad costs $2.
How many sketch pads can he buy? Do not include units in your answer.
Answer: 13
Step-by-step explanation:
13x2=26 and since you cant have a half sketch pad he can only have 13.
Fred can buy 13 sketch pads with his $27, as each pad costs $2 and after dividing $27 by $2, the result is 13.5, which rounds down to 13 because he cannot purchase half a sketch pad.
Explanation:Fred has $27 to buy sketch paper, and each sketch pad costs $2. To find out how many sketch pads he can buy, we divide the total amount of money Fred has by the cost of each sketch pad.
So, we calculate this by performing the division:
Number of sketch pads = Total money / Cost of each sketch pad
Number of sketch pads = $27 / $2 = 13.5
Since Fred cannot buy half a sketch pad, we'll round down to the nearest whole number, which means Fred can buy 13 sketch pads with the money he has.
Rewrite as a logarithmic equation.
** See picture attached
Answer:
[tex]- 5 \log 2 = - \log 32[/tex]
Step-by-step explanation:
We have to convert an exponential equation into the logarithmic equation.
The given equation is
[tex]2^{-5} = \frac{1}{32}[/tex]
Now, taking log on both sides we get,
[tex]\log 2^{-5} = \log\frac{1}{32}[/tex]
⇒ [tex]- 5 \log 2 = \log 1 - \log 32[/tex]
{Since we know from the logarithmic property that [tex]\log a^{b} = b \log a[/tex] and [tex]\log \frac{a}{b} = \log a - \log b[/tex] }
⇒ [tex]- 5 \log 2 = - \log 32[/tex] {Since [tex]\log 1 = 0[/tex] }
Hence, this is the required logarithmic equation. (Answer)
the equatorial circumference of Earth is 4.01 * 10^4 kilometers. One kilometer is equivalent to 3.94 x 10^4 inches. What is the Equatorial circumference of Earth in inches?
Answer: [tex]1,579,940,000\ inches[/tex]
Step-by-step explanation:
Let be "x" the Equatorial circumference of Earth in inches.
Based on the data given in the exercise, you know that the equatorial circumference of Earth is [tex]4.01 * 10^4\ kilometers[/tex].
You also know that:
[tex]1\ kilometer=3.94* 10^4\ inches.[/tex]
Then, you can set up the following proportion:
[tex]\frac{3.94*10^4\ inches}{1\ kilometer}=\frac{x}{4.01 * 10^4\ kilometers}[/tex]
Finally, you must solve for "x" in order to find its value.
Applying this procedure you get the following result:
[tex](4.01 * 10^4\ kilometers)(\frac{3.94*10^4\ inches}{1\ kilometer})=x\\\\x=1,579,940,000\ inches[/tex]
The equatorial circumference of Earth in inches is found by multiplying the given circumference in kilometers by the conversion from kilometers to inches.
Explanation:The equatorial circumference of Earth is stated to be [tex]4.01 \times 10^4[/tex] kilometers. We also have the conversion factor that 1 kilometer is equivalent to [tex]3.94 \times 10^4[/tex]inches. We can find the equatorial circumference of Earth in inches by multiplying the circumference in kilometers by the conversion factor.
So, the calculation becomes: [tex]4.01 \times 10^4 km \times 3.94 \times 10^4 inches/km.[/tex] The kilometers cancel out and the result will be in inches. This type of conversion is a common task in mathematics and physics where we often have to switch between units of measurement.
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In general, which of the following is the best type of font to use in a slide
presentation?
A. A serif font in size 18-point
O
B. A sans serif font in size 30-point
O
C. A sans serif font in size 10-point
D. A serif font in size 10-point
Answer:
B. A sans serif font in size 30-point
Step-by-step explanation:
18, 10 and 10 are too small therefore 30 would be the correct font size.
The best type of front to use in a slide presentation is a sans serif font in size 30-point. That is option B.
What is a slide presentation?A slide presentation is a type of presentation that involves the use of typed pages or pictures that contains information which are displayed in a screen.
The best type of font used in a slide presentation goes to the sans serif font with a size of 30 point. This is because, they lack the edge strokes and they are easy to read.
Therefore, the best type of front to use in a slide presentation is a sans serif font in size 30-point.
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From least to greates -4 3/7, -4 5/6, -5 3/7, 4 2/7, 5 1/7
Answer:
The least number is - 5 3/7.
Then in order we have - 4 5/6.
- 4 3/7
4 2/7
And the greatest is 5 1/7.
Step-by-step explanation:
1. Let's look for the least number of this set and then continue to order them until we find the greatest, this way:
The least number is - 5 3/7 because is the biggest negative number among the three given to us.
The second least number is - 4 5/6, that is < - 5 3/7 and > than - 4 3/7. Their whole number is the same but the fraction part is bigger: 5/6 > 3/7 or 0.83 > 0.42.
The third number is the only negative number remaining: - 4 3/7.
Now, the fourth term in order is 4 2/7, because it's < 5 1/7.
Finally, the greatest number of the set given to us is 5 1/7.
Uncle Gino's pizza parlor sold 200 sausage pizza last week . that was 80% of the total pizza they sold .how many total pizzas did they sell last week ?
Answer:
Uncle Ginos sold 250 pizzas last week
10. How can you use similar triangles to solve real-world problems?
Final answer:
Similar triangles can be used to solve real-world problems by applying the concept of proportionality. By comparing corresponding sides of similar triangles, you can find the unknown measurements.
Explanation:
Similar triangles can be used to solve real-world problems by applying the concept of proportionality. In a pair of similar triangles, corresponding sides are in proportion to each other. This means that if you know the measurements of one triangle, you can use the ratios of corresponding sides to find the measurements of the other triangle.
For example, if you have a 10-meter tall tree and its shadow is 5 meters long, and you want to determine the height of a nearby building using the shadow it casts, you can set up a proportion using the tree's height and shadow length as one ratio and the building's height and its shadow length as the other ratio. By solving this proportion, you can find the height of the building.
Similar triangles can be used to solve various real-world problems involving measurements such as distances, heights, widths, and more. By identifying corresponding sides and setting up ratios, you can find the unknown measurements.
6x - 5 (4y - 3x) + 4y
Answer:
21x - 16y
Step-by-step explanation:
First you need to multiply 5 with the numbers inside the brackets ( -5 x 4y= -20y and -5 x -3x = 15x ) so you will get 6x - 20y + 15x + 4y now you just add 15x plus 6x to get 21x and add 4y to -20y to get -16y so your answer should look like 21x - 16y.
Hope this helps!
An orchard has 651 orange trees. The number of rows exceeds the number of trees per row by 10. How many trees are there in a row
Answer:
The number of trees in each row is 21.
Step-by-step explanation:
Let us assume the number of trees in each row = m
So, the number of rows in the orchard = Number of trees in each row + 10
or, total number of trees in each row = (10 +m)
Now, Total number of Trees = Number of Rows x Number of trees in 1 row
⇒ 651 = m (m + 10)
[tex]651 = m^2 + 10m\\\implies m^2 + 10m - 651 =0\\or, m^2 + 31m 21m - 651 =0\\or, m(m +31) -21(m+31) =0\\\implies (m +31) (m-21) = 0[/tex]
⇒ (m +31) = 0, or (m-21) = 0
⇒ m= -31, or m = 21
Now, as m = The number of trees in each row, so m ≠ -31
So, m = 21
Hence, the number of trees in each row is m = 21.
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