Answer:
A
Step-by-step explanation:
Becuase he wanted more then 3000
A plane can fly 360 mph in still air. If it can fly 210 miles downwind in the same amount of time it can fly 150 miles upwind, find the velocity of the wind. mph
Answer:
55 mph
Step-by-step explanation:
Assuming that
v = velocity of the plane in still air,
w = velocity of the wind.
We are given that v = 360 mi/hr.
Using the equation
x = vt
where
x is the distance an object travels
v is the speed of the object
t is the time taken
While the plane is flying downwind, the velocity becomes v + w. On the other hand, if it is flying upwind, the velocity becomes v - w.
For a particular time t = T, distance traveled x = 210 mi at downwind, and x = 150 mi at upwind.
Creating an equation from the two, we have
210 mi = (360 + w)T
150 mi = (360 - w)T
Solving for T, we have
T = 210/(360 + w)
T = 150/(360 - w)
And since T is the same in both cases, we say that
So, 210/(360 + w) = 150/(360 - w)
Or on rearranging,
(360 + w)/210 = (360 - w)/150
(360)(150) + 150w = (210)(360) - 210w
55800 + 150w = 75600 - 210w
360w = 19800
Therefore, the speed of the wind is 55 mile per hour
Carly can paint 6/7 of a picture in 3/14 of an hour how many pictures can she paint in a full hour
What is the perimeter of an equilateral triangle which has an area of 96\sqrt{3}96
3 ?
Answer:
Perimeter = 44.67
Step-by-step explanation:
Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Answer:
a : b = 4 : 3
Step-by-step explanation:
(mark as brainlist answer)
According to the given condition is the question :
Two numbers a and b are such that the sum of 5% of a and 4% of b is two-third of the sum of 6% of a and 8% of b
⇒ (5% of a) + (4% of b) = (2/3) × [(6% of a) + (8% of b)
⇒ 0.05a + 0.04b = 2/3 × (0.06a + 0.08b)
⇒ 0.15a + 0.12b = 0.12a + 0.16b
⇒ 0.03a = 0.04b
⇒ a/b = 4/3
⇒ a : b = 4 : 3
Which shows the following expression after the negative exponents have been eliminated?
StartFraction a cubed b Superscript negative 2 Baseline Over a b Superscript negative 4 Baseline EndFraction, a not-equals 0, b not-equals 0
StartFraction a cubed b Superscript negative 4 Baseline Over a b Superscript negative 2 Baseline EndFraction
StartFraction a b Superscript 4 Baseline Over a cubed b squared EndFraction
Negative StartFraction a cubed b Superscript 4 Baseline Over a b squared EndFraction
StartFraction a cubed b Superscript 4 Baseline a b squared EndFraction
The expression [tex]\rm \frac{a^3b^{-2}}{ab^{-4}}[/tex] is equivalent to the expression [tex]\rm \frac{a^3b^4}{ab^{2}}[/tex]. Then the correct option is D.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
[tex]\rm \rightarrow \dfrac{a^3b^{-2}}{ab^{-4}}[/tex]
And a ≠ 0 and b ≠ 0.
The negative exponents have been eliminated.
We know that 1/a⁻ⁿ = aⁿ.
Simplify the expression, then the expression will be
[tex]\rm \rightarrow \dfrac{a^3b^{-2}}{ab^{-4}}\\\\\rm \rightarrow \dfrac{a^3b^4}{ab^{2}}[/tex]
The expression [tex]\rm \dfrac{a^3b^{-2}}{ab^{-4}}[/tex] is equivalent to the expression [tex]\rm \dfrac{a^3b^4}{ab^{2}}[/tex].
Then the correct option is D.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Cheese pizza cost 6$ each and four topping pizza that cost $10 each. If you order c cheese pizzas and f four toppings how much would you pay
Answer:
[tex]Total = \$6c + \$10f[/tex]
Step-by-step explanation:
Given
[tex]Cheese\ Pizza = \$6[/tex]
[tex]Topping\ Pizza = \$10[/tex]
Required
Cost of c cheese and f topping pizza
Solving for c cheese pizza
If 1 cheese pizza costs $6,
c cheese pizza would cost $6 * c
Solving for f topping pizza
If 1 topping pizza costs $10,
f topping pizza would cost $10 * f
Hence:
[tex]Total = \$6 * c + \$10 * f[/tex]
[tex]Total = \$6c + \$10f[/tex]
Hence, the total amount paid is: [tex]\$6c + \$10f[/tex]
12. The height of a window is 1 3/4 times its width. The window is 48 cm wide. How tall is the window?
Answer:
84cm
Step-by-step explanation:
h height
w widith
48cm × 1 3/4 = h h = 84cm
can someone tell me the answer please ?
Answer:
130 degrees
Step-by-step explanation:
Answer:
130 degrees
Step-by-step explanation:
This is a supplementary angle (or whatever the term was for two or more angles that add together to get 180 degrees). There is a total of 7x and 5 degrees. So you would set up the equation 180= 7x+5. Use the properties of equality and subtract 5 from both sides getting 175= 7x. Use the division property of equality to isolate the variable. Divide by 7 to get 25=x. Now just substitute for x in 5x+5 getting 125+5= 130. Sorry if I did a bad job at explaining
Given m = -6/5 and the point (6,5), which of the following is the point-slope form of the equation?
Here is a rectangle ABCD. The length of the rectangle is increased by 10%. The width of the rectangle is increased by 5%. Find the percentage increased in the perimeter of tge rectangle.
Answer: Width would become 21 and length would become 33. Original perimeter is 100, increased perimeter is 108 which is a 7.69% increase
Am I correct because I’m confused
Answer:
you could be correct but I think it's B
6. Given WY with W(3, 7) and Y(13, -8), if X
partitions WY such that the ratio of WX to XY
is 3:2, find the coordinates of X.
Answer:
(5, 1)
Step-by-step explanation:
Given the coordinates W(3, 7) and Y(13, -8) divided into the ratio 3:2
The midpoint formula is expressed as;
M(X, Y) = (ax1+bx2/a+b, ay1+by2/a+b)
a = 3,
b = 2
x1 = 3
y1 = 7
x2 = 13
y2 = -2
To get the coordinate of X
x = ax1+bx2/a+b
x = 3(3)+2(123/3+2
x = 9+26/5
x = 35/5
x= 7
y= ay1+by2/a+b
y = 3(7)+2(-8)/2+3
y = 21-16/5
y = 5/5
y = 1
Hence the coordinate of X is (x, y) = (5, 1)
Simplify the product 5/n+1 times n+1/n+3
Answer is 5/n+3 = simple
Answer:
[tex]\frac{5}{n+1}\times \frac{n+1}{n+3}=\frac{5}{n+3}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{5}{n+1}\times \frac{n+1}{n+3}[/tex]
Let us simplify
[tex]\frac{5}{n+1}\times \frac{n+1}{n+3}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{5\left(n+1\right)}{\left(n+1\right)\left(n+3\right)}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:n+1[/tex]
[tex]=\frac{5}{n+3}[/tex]
Therefore,
[tex]\frac{5}{n+1}\times \frac{n+1}{n+3}=\frac{5}{n+3}[/tex]
Answer:
C
Step-by-step explanation:
5n+1/n+3
Helpppppppppppppp
asappppppppppp
Answer:
180-112=68
Step-by-step explanation:
giving brainliest !!!!
Answer:
please mark me as brainlist
A physician assistant orders 500 mL of D5NS over 5 hours. How many milliliters per hour will the patient receive? (Round to the nearest whole number)
Answer:
100
Step-by-step explanation:
500ml÷5h=100ml/h
The assistant will receive 100 mL per hour.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units. . For example, if a car runs 44 km on 2 litres of petrol then we can use the unitary method to find out the kilometres it will cover on 1 litre of petrol.
Given here, A physician assistant orders 500 mL of D5NS over 5 hours.
Therefore, he will receive 500/5 = 100 mL of D5N5 per hour
Hence, the asistant wil recieve 100 mL per hour
Learn more about the unitary method here:
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Complete the equation. Answer as a fraction in its simplest form. 9xy x (2/3x)^3=(__/__)x^4y
Answer:
Fill the blank with [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Given
[tex]9xy * (\frac{2}{3}x)^3 = (--/--)x^4y[/tex]
Required
Fill in the gaps
[tex]9xy * (\frac{2}{3}x)^3 = (--/--)x^4y[/tex]
Open Brackets
[tex]9xy * \frac{2^3}{3^3}x^3 = (--/--)x^4y[/tex]
[tex]9xy * \frac{8}{27}x^3 = (--/--)x^4y[/tex]
Multiply xy and x^3
[tex]9 * \frac{8}{27}x^4y = (--/--)x^4y[/tex]
[tex]\frac{9 * 8}{27}x^4y = (--/--)x^4y[/tex]
Divide fraction by 9/9
[tex]\frac{8}{3}x^4y = (--/--)x^4y[/tex]
By comparison, the blank will be filled with:
[tex]\frac{8}{3}[/tex]
Hence, the solution to the question is: [tex]9xy * (\frac{2}{3}x)^3 = \frac{8}{3}x^4y[/tex]
PLZ HELP 60 POINTS... The students at Harrison Middle School are being split into groups for a community service project. The school faculty has decided that each grade (6th, 7th, and 8th) will be split up into their own set of groups. The faculty has also decided that it is important for each grade to be split evenly into groups, with no leftover students, so that each group in a grade has exactly the same number of boys and girls. For each of the following grades, determine the largest number of groups that can be made and the number of boys and girls that will be in each group.
The 6th grade has 64 girls and 72 boys.
The 7th grade has 81 girls and 63 boys.
The 8th grade has 68 girls and 60 boys.
The
grade groups have the largest number of students in each group.
Answer:
6th: 2 girl groups of 32 and 2 boy groups of 36
7th: 3 girl groups of 27 and 3 groups of 21
8th: 2 girl groups of 34 and 2 boy groups of 30
Sorry if it's wrong, had a little trouble understanding.
A company called Blurb prints books. According to its advertisement, you get a 15% discount on all orders of 51 or more copies of the same book (up to 100 copies). Is the cost per order a linear function of the number of copies you order (up to 100)?
Answer:
Yes, the cost per order is a linear function of the number of copies you order (up to 100).
Step-by-step explanation:
Let;
y = Total cost of order from one copy up to 100 copies or dependent variable
a = Cost of 50 copies or fixed intercept
x = Cost of 51 copies or more up to 100 copies or dependent variable, i.e. 51 = x [tex]\leq[/tex] 100
b = Coefficient of x = 1 - Discount rate = 1 - 15% = 1 - 0.15 = 0.85
We can therefore represent have a function as follows:
y = a + bx ........................ (1)
Substituting b = 0.85 into equation (1), we have:
y = a + 0.85x ...................... (2)
Equation (2) implies that as b equal to 51 or more up to 100, y also increases. Equation (2) is therefore an example of linear function which will give an upward sloping straight line and can be rewritten as:
y = f(x) = a + 0.85x ................. (3)
Therefore, the cost per order is a linear function of the number of copies you order (up to 100).
Please help asap and i will give brainliest to whoever is correct
Answer:
first box 1.5, second box -1.5 don't forget the negative for the second box
Step-by-step explanation:
Answer:
Box one: 1.5.
Box two: Negative -1.5
Jason purchased a pack of game cards that was on sale for 13% off. The sales tax in his county is 8%. Let y represent the original price of the cards. Write an expression that can be used to determine the final cost of the cards.
Answer:
c = (y-0.13y)(1.08)
Step-by-step explanation:
c = cost and y = the original price
The amount of money off is 13% of y, or 0.13 of y. You would subtract that from y to get the price of the cards with the discount. For final cost, you need the cost of the cards (1) plus the cost of tax (8%, or 0.08). 1+0.08 is 1.08, so that's what you would multiply y by to get the final cost of the cards.
Hope this helped!
Use the distributive property to remove the parentheses (x+12)8
Answer:
Using distributive property to solve [tex](x+12)8[/tex] we get [tex]\mathbf{8x+96}[/tex]
Step-by-step explanation:
We need to used distributive property to solve (x+12)8
The distributive property of multiplication or addition states that: [tex]a(b+c)=ab+ac[/tex]
Using the property:
[tex](x+12)8\\=8x+8*12\\=8x+96[/tex]
So, using distributive property to solve [tex](x+12)8[/tex] we get [tex]\mathbf{8x+96}[/tex]
Solve for n. You must write your answer in fully simplified form.
- 4n = -5
1.25 or 5/4
Step-by-step explanation:
11/8 * 1/9 pls help
Answer:
11/72
Step-by-step explanation:
[tex] \frac{11 \times 1}{8 \times 9} = \frac{11}{72} [/tex]
A -gallon [gal] quantity of molten (liquefied) plastic is going to be used to make a 1-foot [ft] by 8-inch [in] plastic block. If liters [L] of the plastic is lost in the manufacturing process, how thick is the final plastic block, in units of inches [in]?
Answer:
x = 1,77 in
Step-by-step explanation:
Total volume of molten plastic to make a block is
1 [gal] - 1 L (lost in the process) = 3,7854 - 1 = 2,7854
Now the volume of the block is:
1 foot * 8 inches * x ( thick of the block )
1 foot is 0,3048 meter and 1 inch is 0,0254 meter
Then in m³ the volume of the block is
0,3048 * 8 * 0,0254 * x = 0,06193536 * x [ m³ ]
That volume should be equal to 2,7854 / 1000
Therefore
0,06193536 * x = 2,7854 / 1000 x in m³
x = 2,7854 /61,93536 m
x = 0,044972 m and 1 m = 39,37 in
x = 1,77 in
The selling price of a watch is rs 220. If 10% profit has been included in the marked price of the watch, what is the marked price??
Answer:
22 is 10 of 220
Step-by-step explanation:
hope it help
2. The reciprocal of 4 3/6 is
a. 6/27
b. 6/30
c. 4 6/3
d. 6 3/4
Answer:
6/27
Step-by-step explanation:
[tex]4 \frac{3}{6} \\ \\ = \frac{4 \times 6 + 3}{6} \\ \\ = \frac{24 + 3}{6} \\ \\ 4 \frac{3}{6} = \frac{27}{6} \\ \\ reciprocal \: of \: 4 \frac{3}{6} = \frac{6}{27} [/tex]
d+16 for d=-18
Your answer
Find the PERCENT of change.
20 dogs to 5 dogs
Answer:
75%
Step-by-step explanation:
20-5=15 - change in numbers
15/20×100%= 75%
I WILL MARK BRAINLIEST!!!!!!!!!!!!!
Holly is taking a multiple choice reading test. She has decided to guess on questions 3 and 7. On each question, there are four
worded choices plus an all of these choice and a "none of these choice. What is the probability that she answers question 3
correctly and question 7 correctly?
А. 1/36
В. 1/16
C. 1/25
D. 1/2
Answer:
B
Step-by-step explanation:
there are 4 answers for each question, thats 8 all together. Two of the 4 are one vaild answers. Take 2/8 * 2/8 = 4/64 then you reduce that and get 1/16