Given
One warehouse had 185 tons of coal, another one had 237 tons
The first warehouse delivered 15 tons of coal to its clients daily, the second one delivered 18 tons of coal to its clients daily.
Find out in how many days will the second warehouse have 1.5 times more coal than the first one.
To proof
Let us assume that the number of days of delivered the coal = x
Take two cases
First case
As given in the question
One warehouse had coal = 185 tons
The first warehouse delivered 15 tons of coal to its clients daily
(As first warehouse delivered 15 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)
Than the equation becomes for first warehouse
= ( 185 - 15x)
( this equation represent the amount of coal left after x days)
Second case
second warehouse had coal = 237 tons
the second one delivered 18 tons of coal to its clients daily.
(As first warehouse delivered 18 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)
Than the equation becomes for the second warehouse
= ( 237 - 18x)
( this equation represent the amount of coal left after x days)
As given in the question
the second warehouse have 1.5 times more coal than the first one
Thus
( 237 -18x ) = 1.5× ( 185 - 15x)
237 - 18x = 277.5 - 22.5x
22.5x - 18x = 277.5 - 237
4.5x = 40.5
x = 9
Therefore the second warehouse have 1.5 times more coal than the first one in 9 days.
Hence proved
Which fraction converts to a terminating decimal number? A. 1/6 B. 2/9 C. 3/8 D. 4/7
Greg added 3 hundreds plus 2 tens and got 32. What did he do wrong?
300 (3 hundreds)+20 (2 tens) should equal 320. Greg confused the hundreds place with the tens place and the tens place with the ones place, what he thought was : 3 tens plus 2 ones equals 32. Answer: He got hundreds confused with tens, and tens confused with ones.
300 (3 hundreds)+20 (2 tens) should equal 320. Greg confused the hundreds place with the tens place and the tens place with the ones place, what he thought was : 3 tens plus 2 ones equals 32. Answer: He got hundreds confused with tens, and tens confused with ones.
Compare 4x(8-3)and 32-12
help me please!!!!!!!
The attachment shows a model for 2².
Hey there!!
Question given :
... 2²
2² = 2 × 2 = 4
Hence, 2² = 4.
In the options given, the only answer which suites the question is the 4 squares.
Hope my answer helps!!
suppose a patient weighing 104 pounds requires 156 mL of medicine what is it weight of a patient requires 207 milligrams of Medicine
This is a proportion problem, setting up the proportion is the hard part, but once you get that, the calculations are easy.
So, lets set one up
(Let x = the weight of the patient)
[tex]\frac{104lbs}{156mg} = \frac{x}{207mg}[/tex]
Now, Just cross multiply and solve.
104*207 = 156 *x
21528 = 156x
138 = x
The patient requiring 207 miligrams of medicine weighs 138 lbs.
"For each power, write an equivalent multiplication expression with two factors"
can anybody help?
10⁴ = 10²⁺² = 10² × 10² 8² = 8¹⁺¹ = 8¹ × 8¹
Converting a power into an equivalent multiplication expression involves rewriting the power's base and exponent using multiplication. The exponent signifies how many times to multiply the base by itself.
Explanation:Converting a power into an equivalent multiplication expression with two factors involves rewriting the power's base and exponent. Consider, for example, a power like 6^3. This expression can be rewritten as multiplication with two factors in different ways, such as 6 x 6 x 6 or 36 x 6. The exponent value tells us how many times to multiply the base by itself. Remember that this is true for all types of powers, including whole numbers, negative numbers, and fractions, which means your multiplication expression factors may differ.
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help me with this PLZ
so you would isolate the variable
WILL GIVE BRAINLIEST ANSWER TO FIRST PERSON TO ANSWER
Classify the following triangle. Check all that apply
A. Obtuse
B. Scalene
C. Right
D. Equilateral
E. Acute
F. Isosceles
One correct answer:
D
Because all of the sides are even, and it has no 90 degree angles.
i think the best answer for this question is B) Scalene
Lisa is standing on the dock besides a leak she drops the rock from her hands into the lake after the rock hits the surface of the lake the rocks distance from the lake surface changes at a rate of -2 in./s if we still hold her hand 4 feet above the lake surface how far from Lisa‘s hand is the rock for seconds after he hits the surface
The distance to the lake surface from Lisa's hand is 48 inches. The distance to the rock is increasing at the rate of 2 inches per second.
The distance (y) from Lisa's hand to the rock at time t (seconds) is ...
... y = 48 +2t
Study the following sequence of numbers. Then see if you can determine what the next number in the sequence should be.
100 99.5 98.5 97 95 92.5 89.5
Answer:
86
Step-by-step explanation:
The pattern follows this rule:
Every time, the difference between current term and the succeeding term is 0.5 more than that of the current term and preceding term.
The difference between the current term and the preceding term is:
89.5 - 92.5 = 3
Hence, the next term of the sequence should be 3.5 less than the current term.
Hence, the next term is 89.5 - 3.5 = 86.
EL PERIMETRO DELCUADRADO X ES DOS TERCIOS DEL PERIMETRO DEL CUADRADO Y. EL UCADRADO Y ES DOS TERCIOS DEL PERIMETRO DEL CUADRADO Z. EL AREA DEL CUADRADO X ES DE 16 CM2 ¿CUAL ES AREA DEL CUADRADO Z?
the question in English is
THE SQUARE PERIMETER X IS TWO THIRDS OF THE SQUARE PERIMETER Y. THE PERIMETER OF THE SQUARE Y IS TWO THIRDS OF THE PERIMETER OF THE SQUARE Z. THE AREA OF THE SQUARE X IS 16 CM2 WHAT IS THE AREA OF THE SQUARE Z?
Let
Px--------> the perimeter of square x
Py--------> the perimeter of square y
Pz--------> the perimeter of square z
Ax--------> the area of square x
Az--------> the area of square z
Step 1
Find the length side of the square x
we know that
[tex]Px=\frac{2}{3} Py[/tex] -------> equation A
[tex]Py=\frac{2}{3} Pz[/tex] -------> equation B
[tex]Ax=16\ cm^{2}[/tex]
[tex]Ax=x^{2}[/tex]
so
[tex]x^{2}=16[/tex]
[tex]x=4\ cm[/tex]
Step 2
Find the perimeter of square x
[tex]Px=4x[/tex]
substitute the value of x in the formula
[tex]Px=4*4=16\ cm[/tex]
Step 3
Find the perimeter of square y
use the equation A
[tex]Px=\frac{2}{3} Py[/tex]
solve for Py
[tex]Py=\frac{3}{2} Px[/tex]
substitute the value of Px
[tex]Py=\frac{3}{2}16=24\ cm[/tex]
Step 4
Find the perimeter of square z
use the equation B
[tex]Py=\frac{2}{3} Pz[/tex]
solve for Pz
[tex]Pz=\frac{3}{2} Py[/tex]
substitute the value of Py
[tex]Pz=\frac{3}{2} 24=36\ cm[/tex]
Step 5
Find the area of square z
we know that
the area of the square z is equal to
[tex]Az=z^{2}[/tex]
Find the length side of square z
[tex]Pz=4z[/tex]
[tex]Pz=36\ cm[/tex]
so
[tex]4z=36[/tex]
[tex]z=9\ cm[/tex]
substitute the value of z in the area's formula
[tex]Az=9^{2}=81\ cm^{2}[/tex]
therefore
the answer is
the area of the square z is [tex]81\ cm^{2}[/tex]
If skylights on the roof are lined up in 3 rows with 9 skylights in each row, how many skylights are there all together?
There are 27 skylights total.
The total number of skylights all together is 27.
Explanation:To find the total number of skylights, we need to multiply the number of rows by the number of skylights in each row. In this case, there are 3 rows and 9 skylights in each row. So, we can calculate the total number of skylights as 3 x 9 = 27.
Why is a lame elephant like adding 19 and 4 ?
The riddle compares a lame elephant to the act of adding 19 and 4, where the answer lies in the wordplay of 'one-legged' (1+9+4) and 'too-free' (sounding like 23).
Explanation:The question "Why is a lame elephant like adding 19 and 4?" appears to be a playful riddle rather than a straightforward math problem.
The answer to this riddle plays on the similarity in sound between the words 'lame' and the number '1' when saying 'one-legged' or '1-legged', as well as the sum of the numbers 19 and 4 being 23, which can sound like 'two' and 'three' or 'too-free' when spoken quickly.
To conclude, a lame elephant is like adding 19 and 4 because it is 'one legged' or could be jokingly considered 'too-free' to walk as it would if it weren't lame.
There are two different maps of ohio. The scale on the first map is 1 cm to 10 km. The distance from cleveland to clncinnati is 40 cm. The scale on the second map is 1 to 50 km what is the distance from cleveland to cincinnati on the second map explain your reasoning
Answer:
The distance from Cleveland to Cincinnati on the second map is 8 cm.
Step-by-step explanation:
The distance from Cleveland to Cincinnati is 40 cm on the first map and the scale on the first map is 1 cm to 10 km.
So, the actual distance from Cleveland to Cincinnati [tex]=(40*10) km = 400 km[/tex]
Suppose, the distance from Cleveland to Cincinnati on the second map is [tex]d[/tex] cm.
Given that, the scale on the second map is 1 cm to 50 km. So, the equation will be........
[tex]\frac{d}{400}=\frac{1}{50}\\ \\ 50d=400\\ \\ d=\frac{400}{50}=8[/tex]
So, the distance from Cleveland to Cincinnati on the second map is 8 cm.
The distance from Cleveland to Cincinnati on the second map can be found to be 8 cm.
How to find the distance ?To find the actual distance from Cleveland to Cincinnati, you would multiply the map distance by the scale:
= 40 cm * 10 km/cm
= 400 km
So, the actual distance from Cleveland to Cincinnati is 400 km.
Now, on the second map, the scale is 1 cm to 50 km.
To find the distance from Cleveland to Cincinnati on the second map, you would divide the actual distance by the scale of the second map:
= 400 km / 50 km/cm
= 8 cm
So, the distance from Cleveland to Cincinnati on the second map would be 8 cm.
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Explain what 4 raised to the fourth power mean
4 * 4 * 4 * 4 is another way to rewrite 4^4
4 Rasied to the fourth power is equal to
[tex]4^4[/tex]
The big number (the base) is what is being multiplied, and the exponent (the small number) is how many times it is being multiplied by itself
For example
[tex]2^3 = 2\times2\times\2\\\\Or\\7^4 = 7\times7\times7\times7[/tex]
So in this situation,
[tex]4^4 = 4\times4\times4\times4[/tex]
Which = 256
Which is both a real number and integer?
A.23
B. 1/4
C. ✓27
D.3.402538
Which of these numbers is classified as both real and ratinal?
A. ✓17
B.✓23
C.✓9
D.✓2
(1)
answer A: 23 is an integer and, as such, belongs to the set of Reals
(2)
answer C: sqrt(9)=3 is rational (can be written as 9/1, or 18/2, etc.) and, as such, is a Real number as well. The others are irrational numbers, so they do not qualify.
1. The number which is both real and integer number is 23.
2. The number which is both real and integer number is √9.
What is square root of a number?
A square root of a number is a value that multiplied by itself gives the same number.
Given that;
There are some numbers.
We have to choose the real and integers number.
Now,
Since, The integers are the number that is positive, negative and zero.
Hence,
1. The number 23 is a real number and it is also a integer.
And,
2. √9 = √3 x 3
= 3
Thus, The number √9 = 3 is a real number and it is also a integer.
Therefore,
1. The number which is both real and integer number is 23.
2. The number which is both real and integer number is √9.
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Divide 4p2 + 6 by 2p – 2. Which statements are true about the division? Check all that apply.
I this it is true but don’t quote me on it
A bookstore buys Algebra 1 books at a wholesale price of $23 each. It marks up the price by 92% and then sells the Algebra 1 books. What is the amount of the markup? What is the selling price?
Answer:
The mark up is $21.16 and the final selling price is $44.14
Step-by-step explanation:
To find the mark up price, you simply multiply the cost by the mark up percentage. This will give you the mark up.
$23 * 92% = $21.16
Now to find the total selling price, we add the cost and the mark up together.
$23 + $21.16 = $44.16
Final answer:
The amount of markup on the Algebra 1 book is $21.16, calculated by multiplying the wholesale price of $23 by the markup percentage of 92%. The selling price of the book is $44.16, the sum of the wholesale price and the markup.
Explanation:
To calculate the amount of the markup for the Algebra 1 books, we will apply a percentage increase to the wholesale price. The wholesale price of each book is $23, and the markup percentage is 92%. To find the markup amount, we multiply the wholesale price by the markup percentage:
Markup = wholesale price × Markup percentage
Markup = $23 × 0.92
Markup = $21.16
Now, to calculate the selling price, we add the markup to the wholesale price:
Selling Price = Wholesale Price + Markup
Selling Price = $23 + $21.16
Selling Price = $44.16
Therefore, the amount of the markup is $21.16, and the selling price of the book is $44.16.
write the equation of the line with y-intercept 3 and a slope of -2/3, and graph it
Answer:
Equation is [tex]y=\frac{-2}{3} x+3[/tex].
Graph is attached.
Step-by-step explanation:
General format of a linear equation is given as,
y=mx+c
where,
y is the dependent variable.
m is the slope/ gradient
x is the independent variable
c is the y-intercept
By substituting values to the above general equation format we get;
[tex]y=\frac{-2}{3} x+3[/tex].
Graph is attached.
Determine wether each ordered pair is a solution of the given equation.
17. y=3x-5; (0,5), (-1,-8)
18. y=-2x+7; (1,5),(-2,3)
19. -6x+5y=-6; (1,0), (2,6/5)
20. 5x-3y=9; (0,3), (12/5,-1)
21. y=2x^2; (1,2), (3,18)
22. y=2|x|; (-1,2), (0,2)
23. y=^3; (2,8), (3,9)
24. y=x^4; (-1,1), (2,16)
25. y=√x+2; (1,3), (4,4)
26. y=3√x-4; (1,-3), (8,6)
the length of a rectangle is 7 inches more than its width, if the perimiter of the rectangle is 66 inches, find its dimensions.
how do i graph 10x + 2y > 20
10x + 2y > 20
Solution
Step 1: First we have to rewrite the given equation y in terms of x.
Subtract 10 x from both sides, we get
10x - 10x + 2y > -10x + 20
2y > -10x + 20
Divide both sides by 2, we get
y > -5x + 10
Step 2: Now we have to find the coordinates by plugging in the values of for x = -1, 0, 1
and find the corresponding values for y.
Plug in x = -1,
y = -5(-1) + 10 = 5 + 10 = 15.
The coordinates are (-1, 15)
Plug in x = 0, we get
y = -5(0) +10 = 10
The coordinates are (0, 10)
Plug in x = 1, we get
y = -5(1) + 10 = -5 +10 = 5
The coordinates are (1, 5)
Step 3: Now plot the points on a grid and draw the draw the dotted line because it is greater than. Since it is grater than we have to shaded the region above the line.
Note: Attached the graph. Please have a look at it.
Thank you. :)
vanessa spends 273. she donate 119. vanessa had 685. how much money does she have left
Vanessa originally had $685. After spending $273 and donating $119, she now has $293 remaining.
Explanation:To find out how much money Vanessa has left after spending and donating some of her money, we need to perform two subtraction operations. First, subtract the amount she spent from her original amount, then subtract what she donated.
Vanessa had $685 originally. She spent $273 on purchases, so let's subtract this amount:
$685 - $273 = $412After spending, Vanessa has $412 left. Now, let's subtract the amount she donated:
$412 - $119 = $293So, after donating, Vanessa has $293 left.
Final answer:
Vanessa initially has $685. After spending $273 and donating $119, she has $293 left.
Explanation:
The question involves solving a basic arithmetic problem. Vanessa initially has $685. She spends $273 and then donates $119. To find out how much money Vanessa has left, we need to subtract the total amount spent and donated from her initial amount.
Step-by-Step Calculation:
Subtract the amount spent from the initial amount:Therefore, after spending and donating the specified amounts, Vanessa has $293 left.
Rob is twice Joshua’s age.nick is 5years older than Joshua .the sum of all their ages is 45.how old is nick
If Mr. Deane's class, 60% of the students are boys. There are 15 boys in the class. What is the total number of students in Mr. Deane's class?
He has 25 student n his class
A farmer has 140 bushels of wheat to sell at his roadside stand. He sells an average of 15 3/5 bushels each day. Represent the total change In the number of bushels he has for sale after 6 days
Answer:
Change in number of bushels after 6 days = 46.4 bushels.
Explanation:
A farmer has 140 bushels of wheat to sell at his roadside stand.
He sells an average of [tex]15\frac{3}{5}[/tex] bushels each day = [tex]\frac{15*5+3}{5} =\frac{78}{5}[/tex]bushels
Total number of bushels sold after 6 days = 6* [tex]\frac{78}{5}[/tex] = 93.6 bushels.
Change in number of bushels after 6 days = 140 - 93.6 = 46.4 bushels.
Answer: He has about 46 bushels left (46.4)
Step-by-step explanation:
Hi, to answer this question we have to multiply the average sell of bushels per day (15 3/5) by the number of days stated (6):
15 3/5 x 6 = (15x5+3)/5 x 6 = 78/5 x 6 = 468/5 = 93.6Finally we have to subtract the number obtained to the number of bushels that the farmer had at the beginning.
140 -93.6 = 46.4He has about 46 bushels left (46.4)
Feel free to ask for more if needed or if you did not understand something.
If a humming bird were to get all of its food from a feeder, then a 16 ounce nectar feeder could feed about 80 hummingbirds a day. How many hummingbirds would you expect to feed with a 12 ounce feeder?
Answer:
60 hummingbirds can be fed by a 12 ounce feeder.
Step-by-step explanation:
In order to solve this problem, we can make a ratio table. For every 16 ounce feeder, 80 hummingbirds can be fed. However, we want to calculate how many hummingbirds can be fed by a 12 ounce feeder. We can get a common denominator for our ratio to solve this. 16:80 divided by 4:4 is 4:20. Since 4 is a factor of 12, we can multiply 4 by 3 to get 12. However, what we do to one section we do to the other. 20 x 3 is 60. 60 hummingbirds can be fed by a 12 ounce feeder.
a rectangular rug has a perimeter of 470 yards. the width of the rug is 5 yards more than four times the length. find the length and the width
Answer: The required length and breadth of the rug are 46 yards and 189 yards respectively.
Step-by-step explanation: Given that a rectangular rug has a perimeter of 470 yards. The width of the rug is 5 yards more than four times the length.
We are to find the length and width of the rug.
Let l represents the length of the rug. Then, the width of the rug will be
[tex]w=4l+5.[/tex]
According to the given information, we have
[tex]470=2l+2w\\\\\Rightarrow 470=2l+2(4l+5)\\\\\Rightarrow 470=2l+8l+10\\\\\Rightarrow 10l=460\\\\\Rightarrow l=\dfrac{460}{10}\\\\\Rightarrow l=46.[/tex]
So, the width is given by
[tex]w=4\times46+5=184+5=189.[/tex]
Thus, the required length and breadth of the rug are 46 yards and 189 yards respectively.
15 POINTS ANSWER ASAP
Solve for q.
3 + q + 9 = 12
(a) q = 0
(b) q = 6
(c) q = 18
(d) q = 24
Answer:
q = 0
Step-by-step explanation:
Solving the given Equation for q : 3 + q + 9 = 12 we get Option (b) q = 6
In the given equation, 3 + q + 9 = 12, we need to solve for q. To do this, we first combine the constants on the left side of the equation: 3 + 9 = 12. This simplifies to 12 = 12. Now, our equation becomes q + 12 = 12.
Next, we want to isolate q on one side of the equation. To do this, we can subtract 12 from both sides: q + 12 - 12 = 12 - 12. This simplifies to q = 0.
However, we must be cautious. While q = 0 satisfies the original equation of 3 + q + 9 = 12, it does not satisfy the intermediate equation q + 12 = 12. In fact, any value of q will satisfy the intermediate equation since adding 0 to any number does not change its value.
Let's verify the other answer choices:
(a) q = 0: As we just discussed, q = 0 satisfies the intermediate equation but not the original equation.
(c) q = 18: If we substitute q = 18 into the original equation, we get 3 + 18 + 9 = 30, which is not equal to 12.
(d) q = 24: If we substitute q = 24 into the original equation, we get 3 + 24 + 9 = 36, which is not equal to 12.
Therefore, the correct answer is (b) q = 6, as q = 6 satisfies both the intermediate equation (6 + 12 = 12) and the original equation (3 + 6 + 9 = 12).
In summary, the correct value of q that satisfies the given equation is 6.
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Annie and Lily share some money in the ratio 4:3 what fraction of the money does lily get?
lily get 3 /(4+3)
she get 3/7
Final answer:
Lily receives 3/7 of the total money when it is shared in a 4:3 ratio with Annie.
Explanation:
If Annie and Lily share some money in the ratio of 4:3, we can use this ratio to determine what fraction of the money Lily gets. The total parts of the ratio are 4 (for Annie) plus 3 (for Lily), which equals 7 parts in total.
Lily's share is 3 parts of the total 7 parts. So, Lily receives 3/7 of the total money. This fraction represents Lily's portion when the money is divided according to the given ratio.