Answer:
length = 100 yd, width = 60 yd
Step-by-step explanation:
To solve this problem, you must set up an equation.
We know that he length (l ) is 40 yards greater than the width (w ). That means that the length is equal to the width + 40 yards, which can be written as l = w + 40. If the area of the field is 6000 square yards, that means the length times the width must be equal to 6000. Here is the equation that comes from it:
w * (w + 40) = 6000
You can simplify that even further:
w ^2 + 40w = 6000
Divide both sides by 40 to get rid of the coefficient:
w ^2 + w = 150
Now subtract w from both sides, then take the square root of both sides:
w = sqrt(150-w)
You could keep simplifying this equation until you finally arrive at your answer:
w = 60.
This means that the length, which is 40 more than the width, is 100.
If you want to prove this answer, just multiply the width by the length, which is 60*100, which gives you 6000 square yards; just what you need!
The value of dimensions of the soccer field, in yards are,
⇒ w = 60, l = 40
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
A school is building a rectangular soccer field that has an area of 6000 square yards.
And, The soccer field must be 40 yards longer than its width.
Let width of soccer field = w
Hence, Its length = w + 40
So, We get;
w (w + 40) = 6000
w² + 40w - 6000 = 0
w² + 100w - 60w - 6000 = 0
w (w + 100) - 60 (w + 100) = 0
w = - 100
w = 60
Since, Dimension are always positive.
Hence, w = 60
So, The value of dimensions of the soccer field, in yards are,
⇒ w = 60
l = 60 + 40 = 100
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Find The FACTORS of 48
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Dion is at a basketball game and he wants to buy some hamburgers and drinks. His friend joe brought 2 Hamburgers and 5 drinks for $8.00 and Felicia brought 2 hamburgers and 3 drinks for $6.00. Help Dion determine the cost of one hamburger and one drink
For this one, the best way to do it is write out you formulas, then solve for the first one and see if it works for the second one.
I am going to use h for hamburgers and d for drinks to make it easier.
2h+5d=8
2h+3d=6
So what I did was make the drinks 1, this way you can see if you need to raise it or if the hamburgers could come out even. When you do that here is what it looks like:
2h+5(1)=8
2h+5=8
2h=3
h=1.50
So here is what you have as of now
h= 1.50 and d= 1
now plug that into the next problem
2h+3d=6
2(1.50)+3(1)=6
3+3=6
So that is your answer
Hamburgers are $1.50
and Drinks are $1
Hope this helps!
Hamburgers cost 1.50 each and its 1.00 for each drink
Three consecutive odd integers have a sum of 99. Write an equation, then find the three integers.
Find the difference 1640-952=
the difference of 1640-952 is 688
What is 2n+n equal to
Combine like terms. Note that both terms given have the same amount of variables, (n)
Combine: 2n + n = 3n
3n is your answer
hope this helps
Maggie bought c CDs for $12 each, b books for $7 each, and a purse costing $24.
A. Write an expression to show the total amount of money Maggia spent
B. If Maggie bought 4 CDs and 3 books, how much money did she spend?
Answer:
A: Spent = 12c + 7b + 24
B: 93 dollars
Step-by-step explanation:
Cost = 12*c + 7*b + 24
If c = 4 and b = 3 then the total cost is
Cost = 12*4 + 7*3 + 24 Substitute and combine factors
Cost = 48 + 21 + 24 Combine Terms
Cost = 93 dollars Answer
Maggie's total spending is represented by the expression 12c + 7b + 24. When purchasing 4 CDs and 3 books, plus a purse, she spent $93.
Explanation:The total amount of money Maggie spent can be represented by the expression: c CDs at $12 each + b books at $7 each + 1 purse at $24.
So, the expression is 12c + 7b + 24.
Given that Maggie bought 4 CDs and 3 books, the total amount spent is calculated as follows:
For CDs: 4 CDs × $12/CD = $48For books: 3 books × $7/book = $21For the purse: $24 (since only one purse was bought)Adding these amounts together gives us: $48 + $21 + $24 = $93.
Therefore, Maggie spent a total of $93 for 4 CDs, 3 books, and a purse.
At a school concert,the orchestra plays 8 songs that are 4.25 min long and 3 songs that are twice as long as each of the others.how long is the concert?
Answer: 59.5 minutes.
Step-by-step explanation:
1. You have the following information given in the problem above:
- 8 songs are 4.25 minutes long.
- 3 songs are twice as long as each of the others.
2. Therefore, the total time of 8 songs is:
[tex](8)(4.25min)=34min[/tex]
3. And the total time of the 3 songs is:
[tex](2)(3)(4.25min)=25.5min[/tex]
4. Therefore, you have that the result is:
[tex]34min+25.5min=59.5min[/tex]
The concert is 59.5 minutes long.
Let's break down the problem step-by-step:
The orchestra plays 8 songs that are each 4.25 minutes long.The orchestra also plays 3 songs that are twice as long as each of the 4.25 minute songs.First, we calculate the total time for the 8 songs:8 songs x 4.25 minutes = 34 minutes
Next, we calculate the length of the songs that are twice as long as the 4.25 minute songs:2 x 4.25 minutes = 8.5 minutes per song
We then find the total time for these 3 songs:3 songs x 8.5 minutes = 25.5 minutes
Finally, we add the time for all the songs to get the total duration of the concert:34 minutes + 25.5 minutes = 59.5 minutes
So, the total duration of the concert is 59.5 minutes.
at East Middle School there 58 left hand students in 609 right-handed students the numbers of left and right handed students at West Junior High are proportional to the number at East Middle School if they're 48 left-handed students at West Junior High how many right-handed students are there
the answer is 504 because 609/58 is 10.5 and then multiply 48 times 10.5 and you get 504
Answer:
There are 504 right handed students in west junior high school.
Step-by-step explanation:
Number of left handed students in east middle school = 58
Number of right handed students in east middle school = 609
Number of left handed students at west junior high = 48
Let the number of right handed students are west junior high be = x
As given, there a a proportional relation between the two, we can denote this as:
[tex]\frac{58}{609}= \frac{48}{x}[/tex]
Now solving for x;
[tex]58x=609*48[/tex]
[tex]58x=29232[/tex]
x = 504
Therefore, there are 504 right handed students in west junior high school.
a barrel of oil is extracted at a cost of $51 then transparent to and from the refinery at a cost of $6 each way. the oil is refined 3 times at $9 per time. whats the profit, in dollars per barrel, if one barrel is sold for $93
What is the slope of the line passing through the points (0,4) and (-8,-1)
Solve for x.
78(−32−48x)+36=23(−33x−18)−10x
Answer:
2
Step-by-step explanation:
Todd is at the grocery store purchasing ingredients for homemade granola. He needs x ounces of almonds, which are priced at m dollars per ounce in the baking section. The total cost of the other ingredients is b dollars. The following expression represents the total amount of money that Todd will spend on all of the granola ingredients. Todd later finds almonds in the bulk section that are half the price of those in the baking section. If he purchases the almonds in the bulk section, which of the following statements are true about the given expression?
Answer:
The correct statements are :
1. The value of mx will change.
2. The value of m will change.
3. The value of mx+b will decrease.
Step-by-step explanation:
The question is as shown in the attached figure.
Todd needs x ounces of almonds, which are priced at m dollars per ounce in the baking section. So, price of x ounces becomes = mx
The total cost of the other ingredients is b dollars.
Hence, total cost is given as = mx+b
Now, Todd later finds almonds in the bulk section that are half the price of those in the baking section.
So, now price = m/2
And total price for 'x' ounce = (mx/2 + b) dollars.
So, if Todd purchases the almonds in the bulk section, the total cost will decrease.
The correct statements are :
1. The value of mx will change.
2. The value of m will change.
3. The value of mx+b will decrease.
Explain why a number that is divided by a multiple of 3 is also divisible by 3
It is a reciprocal. Multiplying is the opposite of Dividing, so if I multiply 3 times 4 I get 12. If i divide 12 by 3 I get 4.
Jocelyn was able to get 2.75% interest rate on her house. She financed $150,000 for 15 years at the same rate. In total how much will she pay for the house?
Need for test corrections by tomorrow. ASAP
she will have to pay $61875 of interest at the end of the 15 years.
in total she would have to pay $211875
please help me with this!
Answer:
-13F is less than -12F, and -9F is greater than -12F
Step-by-step explanation:
You can prove this because in the problem is states that -13F < -12F < -9F
If you utilize this, you find that the first statement is quite obvious:
-13F is less than -12F
The second statement is a little trickier. Since in the original inequality is states that -12F < -9F, but you want to know the relationship between the switch, you would just flip the sign in the middle, getting you:
-9F is greater than -12F
You could also prove this simply with the rules of negative values (which work inversely from positives).
Look at the equation below.
M = 4G − z
Which of the following is the same equation solved for G?
A. G = M+z/4
B. G = 1/4 M + z
C. G = 4M + z
D. G = 4(M − z)
By isolating 'G' in the given equation, 'M = 4G - z', we find that 'G' is equal to '(M + z) / 4', which matches with choice A in the question.
Explanation:The given equation is M = 4G - z. To solve this equation for G, we should first move 'z' over to the other side of the equation, which will give us M + z = 4G. In the next step, we divide each side of the equation by 4 to isolate 'G'. Our answer is then G = (M + z) / 4. This is equivalent to the choice A. G = M+z/4 given in the original question.
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Approximately how many feet is in a 100-meter dash? Show your math.
1meter=3.28 feet. So multiply 100 times 3.28 and that’s your answer
The table shows the number of cups of water required when cooking different amounts of rice. Amount of Rice (cups) Amount of Water (cups) 2 5 3 7.5 5 12.5 8 20 Which statements apply to the ratio of rice and water? The amount of rice is the dependent value. The amount of water is the dependent value. The amount of rice is the independent value. The amount of water is the independent value. The values cannot be labeled as dependent or independent without a given equation. The values cannot be labeled as dependent or independent since any amount can be selected for either.
Answer:
Consider
Amount of Rice (cups) : Amount of Water(cups)
1.2/5
2. 3/7.5=2/5
3. 5/12.5=2/5
4. 8/20=2/5
As in all cases Amount of Rice and Amount of water in cups are same.
i.e⇒ Amount of rice × K = Amount of water, where K is constant of proportionality.
So, Among all the statements
⇒ The amount of rice is the dependent value. The amount of water is the dependent value are correct.
Which means if either of them (Amount in cups) is given we can find other.
If the triangle TSR is similar to triangle TNM, what is the length of x?
Answer:
120:240, 1:2
1:2, 70:140
Answer: x=140
Step-by-step explanation:
You've been told fans will be given a free rally towel every 8 games.Also the knicks are going to wear their throwback jerseys every 12 games.If the fans were given a rally towel and the knicks wore their throwback jerseys tonight how many games will it be untill the next time when both happened?
We need to find the lowest common multiple of 8 and 12.
Reminder that the LCM is the lowest number that divides evenly with both of the given numbers.
We can make a chart and see that:
Multiples of 8: 8, 16, 24, 32
Multiples of 12: 12, 24...wait! We have a match with 24!
Therefore, there will be 24 more games until both events will occur.
Find the product.
6 x 500 = 6 x (blank) hundreds
= (blank) hundreds
= (blank)
**needing the “blanks” answered/solved.
The first blank should contain the number 50. The second blank should contain the number 300 which represents hundreds. Lastly, the third blank should contain the number 30,000 when converted back from hundreds.
Explanation:The original equation given is: 6 x 500. We can re-write this first in terms of hundreds as: 6 x (5,000/100) which means 6 times 50 hundreds. Hence, the first blank is 50.
Subsequently, you would find the product of 6 x 50 hundreds = 300 hundreds. Therefore, the value for the second blank is 300.
Finally, you would turn 300 hundreds back into a standard number by multiplying 300 by 100, which equals 30,000. So, the third blank would be 30,000.
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Please explain so i could understand
The domain is the input values ( x values).
These would be the numbers that the arrows are pointing away from.
The domain is (-2, 0 , 1, 3 , 5)
The sum of two numbers is 76. Their difference is 36. Find the numbers
The sum of two numbers is 76. Their difference is 36. Find the numbers
X+y= 76
X-y=36
Add x+x , y cancels out, add76+36
2x= 112
Divide 2 both sides
X= 61
Now substitute your x answer into first original equation
X+y =76
61+y =76
Subtract 61 both sides to get y .
Y= 76-61
Y= 15
Your two numbers are 61 and 15
A dance school allows a maximum of 15 students per class. If 112 students sing up for dance class, how many classes does the school need to offer to accommodate all the students?
The answer is 8.
In order to accommodate (or provide space for) all students, with the maximum students per class being 15, there needs to be at least enough for 112. A way to figure this out is 112 / 15 (the total amount of people signed up divided by the amount per class). The quotient is 7.466..., which does not work since you cannot have a 0.466... of a human in a class. This means you must round to the nearest whole number. If there were more students it could accommodate 8 more being that 15 * 8 is 120, but in this case there are only 112.
Hope I helped! Please give Brianliest if I did!
a map shows the town where niko lives. the actual distance from niko's house to his school is 3miles, and measures one-half inch on the map. the actual distance
Answer:
4 miles would be 2-thirds inch on the map.Step-by-step explanation:
The entire question is:
A map shows the town where Niko lives. The actual distance from Niko's house to his school is 3 miles and measures one-half inch on the map. The actual distance from Niko's school to the library is 4 miles. How long is this distance on the map?
To solve this problem, we can apply the rule of three, if 3 miles are one-half inch on the map, how long would be on the map for 4 miles.
[tex]x=4miles\frac{\frac{1}{2}in }{3miles}=4\frac{1}{6}in=\frac{2}{3}in[/tex]
Therefore, 4 miles would be 2-thirds inch on the map.
The actual distance of 4 miles would be 2-thirds inch on the map.
What is the distanceIf 3 miles is shown by one-half inch on the map, then to find the length on the map for 4 miles, you can set up a proportion:
(3 miles) / (1/2 inch) = (4 miles) / x
Now, cross-multiply:
3 * x = 4 miles * (1/2 inch)
3x = 2 miles * inch
So , divide both sides by 3 to find the length on the map (x):
x = (2 miles * inch) / 3
x = 2/3 inch
So, the correct length on the map for 4 miles is indeed 2/3 inch.
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Please help me! Whoever gets the correct answer and explains it will get marked Brainliest!!
1. The answer is 0.425
2. the answer is 0.425
3. the answer is 0.2125
the sum of 367 and 863 is equal to the sum of 863 and another number. what is that number?
Answer:
Sum of 367 and 863 is equal to the sum of 863 and 367. Thus, 367 is the required number.
Step-by-step explanation:
Commutative property of Addition
Let a and b be two real numbers. Then commutative property of addition states that the sum of a and b is equal to the sum of b and a that is
[tex]a + b = b + a[/tex]
Similarly, we a re given here,
[tex]367 + 863 = 1230\\1230 = 863 + 367[/tex]
Thus, sum of 367 and 863 is equal to the sum of 863 and 367.
Thus, 367 is the required number.
3m-7=8 solve please NEED HELP
Solve for m.
Add 7 to both sides to get 3m=15
Then divide by sides by 3 to get m=5.
The final answer is m=5.
Two questions plz help asap. 1.what is the value of a? [tex]-2(a - 8) + 6a = 36[/tex] 2. whats the value of n[tex]\frac{3n + 6}{3} = 15[/tex]
1. What is the value of a?
-2(a - 8) + 6a = 36
Remember to follow PEMDAS. First, distribute -2 to all terms within the parenthesis
-2(a - 8) = -2a + 16
-2a + 16 + 6a = 36
Simplify. Combine like terms
6a - 2a = 4a
4a + 16 = 36
Isolate the a. Do the opposite of PEMDAS. First, note the equal sign. What you do to one side, you do to the other.
Subtract 16 from both sides
4a + 16 (-16) = 36 (-16)
4a = 36 - 16
4a = 20
Divide 4 from both sides
4a/4 = 20/4
a = 20/4
a = 5
5 is your answer for a
-------------------------------------------------------------------------------------------------------------------
2. What is the value of n in (3n + 6)/3 = 15
Remember to do the opposite of PEMDAS. Note the equal sign. First, multiply 3 to both sides
(3n + 6)/3(3) = 15(3)
3n + 6 = 45
Next, subtract 6 from both sides
3n + 6 (-6) = 45 (-6)
3n = 45 - 6
3n = 39
Finally, isolate the n. Divide 3 from both sides
3n/3 = 39/3
n = 39/3
n = 13
13 is your answer for n
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hope this helps
I have written the solution in images attached.
Y=x+ 5
Y=5 x + 10
Y= 5 x + 5
Y = x + 10
y = x + 5
check
for x = 5 → y = 5 + 5 = 10 CORRECT
for x = 10 → y = 10 + 5 =15 CORRECT
for x = 15 → y = 15 + 5 = 20 CORRECT
for x = 20 → y = 20 + 5 = 25 CORRECT