Answer:
Step-by-step explanation:
Step one:
given
we are told that tom can inflate 20 basketballs in 16 minutes
hence in one minute, he can inflate 20/16
= 10/8= 5/4 basketballs per minute
the rate at which he inflate the ball is 5/4 ball per minute.
The total number b is proportional to the number of minute
[tex]b\alpha t[/tex]
Paul says that (3.14 X 10^5) + (2.53 X 10^4) = 5.67 X 10^5. Is Paul correct? Explain.
PLEASE I NEED HELP WITH THIS ASAP
Paul is wrong as first he has to convert their powers to the same value with base 10.
What is scientific notation?We use the scientific notation of numbers to write very large numbers in compact form.
In the scientific form, we write a number in the form of base×10ⁿ.
Where 0 ≤ base < 10 and n can be any rational number.
Given, Paul says (3.14 X 10⁵) + (2.53 X 10⁴) = 5.67 X 10⁵. he is wrong to add bases they must have the same power of 10.
∴ (3.14 X 10⁵) + (2.53 X 10⁴).
= (31.4 X 10⁴) + (2.53 X 10⁴).
= 33.93 X 10⁴.
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Divide (x^5 - x^4 + x^3 - x^2 + x -1) by (x-1)
Please solve this and show your calculation.
If you don't know please don't answer.
Answer:
[tex]\boxed{x^4 + x^2 + x}[/tex]
Step-by-step explanation:
[tex]\frac{x^5 - x^4 + x^3 -x^2 + x - 1}{x - 1}[/tex]
[tex]= \frac{(x - 1)(x^4 + x^2 + x)}{x - 1}[/tex]
[tex]= x^4 + x^2 + x[/tex]
Your class is selling chocolates and caramel corn. Boxes of
chocolate sell for $6 each and bags of caramel corn sell for
$5 each. A total of 535 items were sold and $2889 was
raised. How many of each item was sold?
O 321 boxes of chocolate, 214 bags of caramel corn
o 214 boxes of chocolate, 321 bags of caramel corn
O 343 boxes of chocolate, 192 bags of caramel corn
0 211 boxes of chocolate, 324 bags of caramel corn
214 boxes of chocolate, 321 bags of caramel corn item was sold.
How many of each item was sold?Boxes of chocolate sell for $6 each and bags of caramel corn sell for
$5 each. A total of 535 items were sold and $2889 was
raised.
set of of chocolate was sold x boxes,
because a total of 535 items more sold .
so the caramel corn was sold (535 -x) bags,
and boxes of chocolate sell for $6 each , bags of caramel corn for each and $2889 was raised.
so 6 x+ 5.(535-x) = $2889.
6 x+ 5.535-x = $2889.
6 x+ 2675 - 5x = $2889.
6x - 5x =2889-265
x =214
so the caramel corn was sold 535-x =535-214 = 321
214 boxes of chocolate, 321 bags of caramel corn was sold.
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Caramel corn bags cost $5 apiece, while chocolate boxes cost $6 each. 535 products in total were sold, bringing in a total of $2889 then there exists 214 boxes of chocolate, 321 bags of caramel corn was sold.
How to estimate the value of x?Any one of the forms, including addition, subtraction, multiplication, and division, should be used for the algebraic expression. Bring the variable to the left side and the other values to the right side in order to find the value of x. To find the answer, simplify the values.
Let set of of chocolate was sold x boxes,
because a total of 535 items more sold .
so the caramel corn was sold (535 - x) bags, and boxes of chocolate sell for $6 each , bags of caramel corn for each and $2889 was raised.
From the given information, we get
6x + 5(535 - x) = $2889
simplifying the above equation, we get
6x + 5 × 535 - 5x = $2889
6x + 2675 - 5x = $2889
6x - 5x = 2889 - 265
x = 214
So the caramel corn was sold = 535 - x
Substitute the value of x in the above equation, we get
= 535 - 214
= 321
There exists 214 boxes of chocolate, 321 bags of caramel corn was sold.
Therefore, the correct answer is option b) 214 boxes of chocolate, 321 bags of caramel corn.
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Write two numbers that multiply to the value on top and add to the value on bottom.
Answer:
8 and 3 is your answer
mark beyondledend answer as brainlist
There are 48 crayons in a box. There are 12 boxes in a carton. Mr Johnson ordered 6 cartons of crayons for the school. How many crayons did he get? 2
Answer:
he got 3456 crayons.
Step-by-step explanation:
Nick is planning to drive across the country, and he is deciding between a southern route and a northern route. He uses the following pieces of information to determine the total cost of gasoline for each route: His car needs $18$ gallons of gasoline for every $396$ miles driven. The southern route is $3,102$ miles long, and the average cost of gasoline along this route is $\$2.20$ per gallon of gasoline. The northern route is $2,948$ miles long, and the average cost of gasoline along this route is $\$2.28$ per gallon of gasoline. What would be the total cost of gasoline for each route? Show your work.
Answer:305.53 northern route
210.20 southern route
Step-by-step explanation:
Answer:
Answer:305.53 northern route
Step-by-step explanation:
in a survey of 300 adults 15% did not know how to ride a bike how many people do not know how to ride a bike
Answer:
45
Step-by-step explanation:
divide 300 by 100 then multiply it by 15 to find how many people makes 15% of 300
300 ÷ 100 = 3 ➡ 3×15 = 45
Here is an equation that represents a function: 72x+12y=60.
Select all the different equations that describe the same function:
A.120y+720x=600
B.y=5-6x
C.2y+12x=10
D.y=5+6x
E.x=5/6-y/6
F.7x+2y=6
G.x=5/6+y/6
The equivalent equations to 72x+12y=60 are:
120y + 720x = 600y = 5 - 6xx = 5/6 - y/6Equivalent EquationsThe given equation is:
72x+12y=60
To find the equivalent equations, follow the steps below
Multiply the equation 72x+12y=60 by 10
10(72x) + 10(12y) = 10(60)
720x + 120y = 600
Divide the equation 72x+12y=60 by 12
(72x/12) + (12y/12) = 60/12
6x + y = 5
y = 5 - 6x
Divide the equation 72x+12y=60 by 72
(72x/72) + (12y/72) = 60/72
x + y/6 = 5/6
x = 5/6 - y/6
The equivalent equations to 72x+12y=60 are:
120y + 720x = 600y = 5 - 6xx = 5/6 - y/6Learn more on equivalent functions here: https://brainly.com/question/2972832
If Y (-7,-4) and (5,2), find the slope of a line perpendicular to YZ. Please help if you can
Answer:
-2
Step-by-step explanation:
The slop of YZ is 1/2. The slope perpendicular would be opposite, making it -2.
Answer:
- 2
Step-by-step explanation:
Calculate the slope m of YZ using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = Y(- 7, - 4) and (x₂, y₂ ) = Z(5, 2)
m = [tex]\frac{2+4}{5+7}[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2
Consider the right triangle below.
6x - 44
2x - 20
3x + 24
If the perimeter of the triangle is 224 cm, find the area of the triangle.
The area of the triangle is
cm
Answer:
Area = 1,344 cm²
Step-by-step explanation:
First, find the value of x and the numerical side length of all sides of the triangle before finding the area.
Thus:
Perimeter of a triangle = sum of all its side
Therefore,
(6x - 44) + (2x - 20) + (3x + 24) = 224
Solve for x
6x - 44 + 2x - 20 + 3x + 24 = 224
Add like terms
11x - 40 = 224
Add 40 to both sides
11x = 224 + 40
11x = 264
Divide both sides by 11
x = 24
Find the measurement of each side length by plugging in the value of x:
Hypotenuse = 6x - 44 = 6(24) - 44 = 100 cm
Height = 2x - 20 = 2(24) - 20 = 28 cm
Base = 3x + 24 = 3(24) + 24 = 96 cm
Find the area:
Area = ½×base×height
Plug in the values
= ½×96×28
Area = 1,344 cm²
What is 7.555 rounded to the nearest tenth
What is 7.555 to the nearest hundredth
Answer:
7.6
Step-by-step explanation:
What is another name for Plane P below?
A.
plane B
B.
plane n
C.
plane ABC
D.
plane BAD
Answer:
is. there. a. picture
Step-by-step explanation:
A company's current stock price is $50.00 and its most recent dividend was $2.00 per share. Since analysts estimate the company will have a 5 percent growth rate, what is its expected return?
Answer:
Expected rate of return =7.1% (Approx.)
Step-by-step explanation:
Given:
Current stock price = $50
Divided d = $2
Growth rate g = 5 %
Find:
Expected rate of return
Computation:
Expected rate of return = D(1+g)/Current Price + g
Expected rate of return = [2(1+5%)/50] + 5%
Expected rate of return =7.1% (Approx.)
Jerome hiked three-fourths of a mile in two-thirds of a hour. What was his hiking speed in miles per hour.?
Answer : Speed = distance/time.
(3/4)/(2/3) = 3/4 x 3/2 .
9/8 or 1 1/8 miles per hour
Step-by-step explanation:
i really dont know<3
I need help with this question 2x<6
Step-by-step explanation:
2x=6
x=6
2
x=3 ans
hope it help u
Write a linear function f with f (4) = -3 and f(0) = -2.
f(x) =
Answer:
f(x)= -1/4x-2
Step-by-step explanation:
Slope= -1/4
y-intercept= -2
1. Is this relation a function? Explain.
2. Is this relation linear? Explain.
Pls help this is due soon
yes its a function because it passes the vertical line test. Yes, it is linear because the slope is constant.
Show that each of the following values for the given variable is a solution to the
given equation. Show the calculations that lead to your answer.
(a) 3x + 4 = 7
for x = 1
Part a)
Answer:
As the L.H.S = R.H.S, so [tex]x = 1[/tex] is the solution to the equation [tex]3x + 4 = 7[/tex]
Step-by-step explanation:
Given the equation
[tex]3x + 4 = 7[/tex]
solving the equation for x = 1
substituting the value of x = 1 in the equation
[tex]3\left(1\right)+\:4\:=\:7[/tex]
[tex]7=7[/tex]
As the L.H.S = R.H.S, so [tex]x = 1[/tex] is the solution to the equation [tex]3x + 4 = 7[/tex]
Part b)
Answer:
As the L.H.S = R.H.S, so [tex]x = 15[/tex] is the solution to the equation [tex]\frac{x-3}{2}=6[/tex]
Step-by-step explanation:
Given the equation
[tex]\frac{x-3}{2}=6[/tex]
solving the equation for x = 15
substituting the value of x = 15 in the equation
[tex]\frac{15-3}{2}=6[/tex]
[tex]\frac{12}{2}=6[/tex]
[tex]6=6[/tex]
As the L.H.S = R.H.S, so [tex]x = 15[/tex] is the solution to the equation [tex]\frac{x-3}{2}=6[/tex]
Part c)
Answer:
As the L.H.S = R.H.S, so x = -3 in the equation is the solution to the equation [tex]x^2=-2x+3[/tex]
Step-by-step explanation:
Given the equation
[tex]x^2=-2x+3[/tex]
solving the equation for x = -3
substituting the value of x = -3 in the equation
[tex]x^2=-2x+3[/tex]
[tex]\left(-3\right)^2=-2\left(-3\right)+3[/tex]
[tex]9 = 6 + 3[/tex]
[tex]9 = 9[/tex]
As the L.H.S = R.H.S, so x = -3 in the equation is the solution to the equation [tex]x^2=-2x+3[/tex]
A. 3(x + 2) = 18
B. X + 2 = 18
Answer:
A. x=4
B. x=16
Step-by-step explanation:
A. multiply out: 3x+6=18
subtract 6 from both sides: 3x=12
divide both sides by 3: x=4
B. subtract 2 from both sides: x=16
What's the slope of (-5, 10) and (-2, -2)?
Answer:
slope: -4
equation: y = -4x – 10
At a pet store, 0.3 of the sales were for dog products, 1/10 of the sales were for cat products, and 3/5 of the sales were for other animal products. What fraction of the sales were for dog and cat products? Express your answer in simplest form
Answer:
4/10 combined. ❤️
Step-by-step explanation:
i hope this helped. You turn the .3 into a fraction. Say it aloud and it's 'three tenths." The cat products are 1/10 so you add 3/10+1/10=4/10 or 0.4.
the operation * on the set R, of real numbers is defined by:
p * q =p3 + q3- 3pq; p,q€R
Is the operation * commutative in R?
Answer:
y=Mx+b
Step-by-step explanation:
helpp i need help with khan
Answer:
1. 1.5 milliliter
2. 2/3 millileter
Step-by-step explanation:
I did this earlier today lol
Answer:
Step-by-step explanation:
150/100
1.5 ml of soy sauce per ml of vinegar
100/150
2/3 (or 0.666) ml vinegar per ml of soy sauce
2. * DE is a midsegment of triangle ABC. Find the value of X.
Answer:
x = 8.5
Step-by-step explanation:
Based on the Midsegment theorem, the midsegment, DE is half the length of BC.
Given that BC = 17, therefore:
DE = ½*(17)
DE = 8.5.
x = DE = 8.5
PLZ ANSWER!! ONLY IF YOU ARE CORRECT (SELECT ALL THAT APPLY)
Answer:A, C, and D
Step-by-step explanation:
Select all the statements that show correct reasoning for finding 15÷29. A Multiply 15 by 2, then divide by 9Multiply 15 by 2, then divide by 9 B Multiply 15 by 9, then divide by 2Multiply 15 by 9, then divide by 2 C Multiply 15 by 19, then multiply by 2Multiply 15 by 1 ninth, then multiply by 2 D Multiply 15 by 9, then multiply by 12
Answer:
None of the statements given in the options show the correct reasoning for finding 15÷ 29
Step-by-step explanation:
We are asked to find which of the statements below corresponds to: 15÷29.
15 ÷ 29 =
0.5172413793
= (10 + 5) ÷ 29
= (10 ÷ 29) + (5 ÷ 29)
= 0.5172413793
None of the statements given in the options show the correct reasoning for finding 15÷ 29
Sorry if I wasn’t specific on the list question but it’s like this pls help ASAP
Answer:
12 sugars and 24 flour
Step-by-step explanation:
if 4 x ( times ) 3 = 12,
8 x 3 = 24.
Answer:
Multiply by 3
SOMEONE PLEASE ACTUALLY HELP MEEE!!!!! Write an example of the Identity Property of Addition using the number 43.
Question 5 options:
43 x 0 = 0
43 x 1 = 43
43 + 0 = 43
40 + 3 = 43
Answer:
40 + 3
Step-by-step explanation:
=43. you dont need to use it for 0, even though that's adding too. and multiplying isnt addition.
4x + 3y = 1
12x– 9y=4
Answer:
x = 7/24 y = -1/18
Step-by-step explanation:
3y = -4x + 1
y = (-4/3)x + (1/3)
*plug into the other equation
12x - 9(-4/3x + 1/3) = 4
12x + 12x - 3 = 4
24x = 7
x = 7/24
*now plug into original equation
y = (-4/3)(7/24) + 1/3
y = -1/18
In rectangle ABCD, diagonals AC and BD intersect at E. If AE=3x-28 and DE=.5x+12, find the length of AC.
Given:
In rectangle ABCD, diagonals AC and BD intersect at E, AE=3x-28 and DE=.5x+12.
To find:
The length of AC.
Solution:
We know that, diagonals of a rectangle are equal and they bisect each other.
In rectangle ABCD, diagonals AC and BD intersect at E, so
[tex]AE=BE=CE=DE[/tex] ...(i)
Taking [tex]AE=DE[/tex], we get
[tex]3x-28=0.5x+12[/tex]
[tex]3x-0.5x=28+12[/tex]
[tex]2.5x=40[/tex]
Divide both sides by 2.5.
[tex]x=\dfrac{40}{2.5}[/tex]
[tex]x=16[/tex]
Now,
[tex]AE=3x-28[/tex]
[tex]AE=3(16)-28[/tex]
[tex]AE=48-28[/tex]
[tex]AE=20[/tex]
Using segment addition property,
[tex]AC=AE+CE[/tex]
[tex]AC=AE+AE[/tex] [Using (i)]
[tex]AC=20+20[/tex]
[tex]AC=40[/tex]
Therefore, the length of AC is 40 units.