[tex]\textsf{Hey there!}[/tex]
[tex]\textsf{The word OF means MULTIPLY in mathematical terms }[/tex]
[tex]\mathsf{So, \ your\ equation\ becomes: \dfrac{1}{3}\times 10.25 }[/tex]
[tex]\mathsf{You\ can\ convert\ \dfrac{1}{3}\ into\ a\ decimal\ and\ solve\ from \ there}[/tex] [tex]\textsf{(if you want to)}[/tex]
[tex]\mathsf{\dfrac{1}{3} \times 10.25=3.416667}[/tex]
[tex]\boxed{\textsf{Thus your answer is: \boxed{\huge\text{\bf{3.416667}}}}}}\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Burgers come in packs of 10. The cost of 10 burgers is £3.45. How much does 1 burger cost?
Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic. Equation: (x+2)^2+(y-2)^2+(z-3)^2 = 0
Answer:
[tex]\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}[/tex]
Step-by-step explanation:
Given the center of sphere is: (-2, 2, 3)
Passes through the origin i.e. (0, 0, 0)
To find:
The equation of the sphere ?
Solution:
First of all, let us have a look at the equation of a sphere:
[tex](x-a)^2+(y-b)^2+(z-c)^2=r^2[/tex]
Where ([tex]x,y,z[/tex]) are the points on sphere.
[tex](a, b, c)[/tex] is the center of the sphere and
[tex]r[/tex] is the radius of the sphere.
Radius of the sphere is nothing but the distance between any point on the sphere and the center.
We are given both the points, so we can use distance formula to find the radius of the given sphere:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]
Here,
[tex]x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2 =2 \\z_2 =3[/tex]
So, Radius is:
[tex]r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}[/tex]
Therefore the equation of the sphere is:
[tex](x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}[/tex]
36) A contractor built a square hall having
an area of 4489 m2. How long is the hall?
Answer:
area of square = l²= 4489m²
l=√4489 = 67m
Step-by-step explanation:
2.02 into 10 raised to 7 is the answer
Kevin uses 2/3 cup of flour to make 2 servings of biscuits. How many cups of flour are there per serving?
[tex] \frac{2}{3} \: cups = 2 \: serving[/tex]
[tex] \frac{ \frac{2}{3} }{2} \: cups = \frac{2}{2} \: serving[/tex]
[tex] \frac{2}{3 \times 2} \: cups = 1 \: serving[/tex]
[tex] \frac{2}{6} \: cups = 1 \: serving[/tex]
[tex] \frac{1}{3} \: cups = 1 \: serving[/tex]
So, there are ⅓ cups of flour in one serving.
Thank you.
Suppose you are asked to find the area of a rectangle that is 2.1-cm wide by 5.6-cm long. Your calculator answer would be 11.76 cm^2. Write the answer to two significant figures.
Answer:
12cm^2
Step-by-step explanation:
Area of a rectangle = Length × Width
Length = 5.6cm
Width= 2.1cm
Area of the rectangle = Length × Width
= 5.6cm × 2.1cm
= 11.76 centimeter square
Area of the rectangle = 11.76 centimeter square
Answer to two significant figures
There are two figures before the decimal and two figures after the decimal
Since, the question asked us to 2 significant figures, then we will focus on the two figures before the decimal point.
11.76
Using .76 round 11 to the nearest whole number
We have,
12 centimeter square
12cm^2
Determine whether the set of all linear combinations of the following set of vector in R^3 is a line or a plane or all of R^3.a. {(-2,5,-3), (6, -15,9),(-10, 25, -15)} b. {(1,2,0), (1,1,1),(4,5,3)} c. {(0,0,3), (0,1,2), (1,1,0)}
Answer:
a. Line
b. Plane
c. All of R^3
Step-by-step explanation:
In order to answer this question, we need to study the linear independence between the vectors :
1 - A set of three linearly independent vectors in R^3 generates R^3.
2 - A set of two linearly independent vectors in R^3 generates a plane.
3 - A set of one vector in R^3 generates a line.
The next step to answer this question is to analyze the independence between the vectors of each set. We can do this by putting the vectors into the row of a R^(3x3) matrix. Then, by working out with the matrix we will find how many linearly independent vectors the set has :
a. Let's put the vectors into the rows of a matrix :
[tex]\left[\begin{array}{ccc}-2&5&-3\\6&-15&9\\-10&25&-15\end{array}\right][/tex] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒
[tex]\left[\begin{array}{ccc}-2&5&-3\\0&0&0\\0&0&0\end{array}\right][/tex]
We find that the second vector is a linear combination from the first and the third one (in fact, the second vector is the first vector multiply by -3).
We also find that the third vector is a linear combination from the first and the second one (in fact, the third vector is the first vector multiply by 5).
At the end, we only have one vector in R^3 ⇒ The set of all linear combinations of the set a. is a line in R^3.
b. Again, let's put the vectors into the rows of a matrix :
[tex]\left[\begin{array}{ccc}1&2&0\\1&1&1\\4&5&3\end{array}\right][/tex] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒
[tex]\left[\begin{array}{ccc}1&1&1\\0&1&-1\\0&0&0\end{array}\right][/tex]
We find that there are only two linearly independent vectors in the set so the set of all linear combinations of the set b. is a plane (in fact, the third vector is equivalent to the first vector plus three times the second vector).
c. Finally :
[tex]\left[\begin{array}{ccc}0&0&3\\0&1&2\\1&1&0\end{array}\right][/tex] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒
[tex]\left[\begin{array}{ccc}1&1&0\\0&1&2\\0&0&3\end{array}\right][/tex]
The set is linearly independent so the set of all linear combination of the set c. is all of R^3.
Point S is on line segment RT. Given ST = 3x
= 3x – 8, RT = 4x, and
RS = 4x 7, determine the numerical length of RT.
Answer:
RT = 20
Step-by-step explanation:
Given that,
Point S lies on the line segment RT.
We have, ST = 3x-8, RT = 4x and RS = 4x-7
It is clear that, RT = RS+ST
Putting the values, we get :
4x = 4x-7 + 3x-8
Taking like terms together,
4x-4x-3x = -7-8
-3x = -15
x = 5
Put the value of x in RT = 4x.
So,
RT = 4(5)
RT = 20
Hence, length of RT = 20.
Stefan has 4 1/2 cups of oats. He uses 3 1/4 cups to make granola bars for a camping trip. He saves the rest of the oats to feed to his parrot, Coco. If Coco needs 1/4 of a cup of oats each day, how many days can Stefan feed Coco with the oats he has left?
Answer:
5
Step-by-step explanation:
You need to find how many days Stefan can feed Coco with the oats he has left. But first, you need to know how many cups of oats Stefan has left after making granola bars.
Stefan has 4
1
2
cups of oats, and he uses 3
1
4
cups to make granola bars.
Start by writing 4
1
2
with a denominator of 4. Then both fractions will have the same denominator.
4
1
2
=4
2
4
Subtract. Remember to subtract whole numbers from whole numbers and fractions from fractions.
4
2
4
–3
1
4
=1
1
4
Stefan has 1
1
4
cups of oats left.
How to eat hotdog thank you
Answer:
1.Toast your hot dog bun if you like.
2.Grab pan with little bit of water
4.Place hotdog and cook until chang color on both sides
5. Place a cooked hot dog inside the bun.
6.Add sauces.
6.Put on chunky condiments next.
7.Top it with cheese if you like.
8.Finish the dog with your favorite spices.
9. Put the assembled hot dog on a plate.
10.Serve your favorite snacks on the side.
please help me on this
PLEASE HELP I WILL MARK YOU AS BRAINLEIST IF YOU GET THIS RIGHT ! ! !
Answer:
(-8, 2)
Step-by-step explanation:
Count 4 units to the right.
Plz help 7th grade math
Answer:
The answer is -11
Step-by-step explanation:
3+(-14) is basically writing out 3-14 which is -11
Answer:
-11
Step-by-step explanation:
3+(−14)
Subtract 3 from 14 to get −11.
−11
(HELP) The point (- 8, - 2) is on the parent graph below. Where will it be on the transformed graph?
Answer:
x=[tex]\frac{y2 }{9}[/tex]
Step-by-step explanation:
2nd step: [tex]3\sqrt{x}=y[/tex]
third step: [tex]\frac{3\sqrt{x} }{3} = \frac{y}{3}[/tex]
fourth step: [tex]\sqrt{x} =\frac{y}{3}[/tex]
answer: x=[tex]\frac{y2 }{9}[/tex]
Solve for x: 6x + --(4x + 8) > 12
1
4
Ox>
10
7
Ox>2
Oxs 10
<< 19
0x<2
Answer:
x > 10/7
Step-by-step explanation:
Take LCM and do cross Multiplication. You will get,
24x + 4x + 8 > 48
or, 28x > 40
or, x > (40/28)
This gives, x > 10/7
4.56 natural numbers or a whole numbers integers rational numbers Irrational numbers or real numbers
Answer:
it is rational number
Step-by-step explanation:
Decimals are not natural and whole numbers.
irrational numbers cannot be expressed by fraction but this question can be experssed by decimal so it is rational number not irrational
hope u like it ❤❤❤
For any question comment me
Help me please because of the points
Answer:
C
Step-by-step explanation:
Because the dolphin increases his elevation, the amount he increases is added to the original elevation to get the second elevation.
Therefore:
-16 3/4 + 5x = -5 1/4
This option is not in the options but if we rearrange the left side from
- 16 3/4 + 5x
to:
5x - 16 3/4
We get the last option C.
Hope this helped!
Look at the pattern below.
6, 12, 18, 24, 30, 36
What characteristics of this pattern are true?
All the numbers have 4 as a factor.
All the numbers are composite.
All the numbers are a multiple of 3.
All the numbers are divisible by 2.
Answer:
Step-by-step explanation:
4,3,2
Change 53/5 from an improper fraction to a mixed number.
Answer:
10.6
Step-by-step explanation:
53/5
Answer:
[tex]10\frac{3}{5}[/tex]
Step-by-step explanation:
We divide 53 by 5 which we get 10 3/5
x+4.9=7.28 x= what is the answer
Answer:
2.38
Step-by-step explanation:
subtract 4.9 on both sides
x = 2.38
Step-by-step explanation:x + 4.9 = 7.28
x = 7.28 - 4.9
x = 2.38
Why is 4 + (-3) equal to 1?
Step-by-step explanation:
4+(-3)=1
because when you open brackets + and - will be -, so 4-3=1
The price-demand equation for gasoline is 0.3d + 4p = 80, where p is the price per gallon in dollars and d is the daily demand measured in millions of gallons. Write the demand d as a function of price What is the demand if the price is $ 8 per gallon?
Answer:
The demand d as a function of price is [tex]d=\frac{800}{3} -\frac{40p}{3}[/tex]
The demand if the price is $ 8 per gallon is 160 millions of gallons.
Step-by-step explanation:
You know that the price-demand equation for gasoline is 0.3d + 4p = 80
To write demand d as a function of price p, you must solve for or isolate demand d, remembering that:
All the terms that are multiplying on one side, go to the other side of the equality by dividing, and those that are dividing go to the other side of the equality by multiplying. The terms that are adding go to the other side of the equality by subtracting and those that are subtracting go to the other side by adding.So:
0.3d + 4p = 80
0.3d = 80 - 4p
[tex]d=\frac{80 - 4p}{0.3}[/tex]
[tex]d=\frac{80}{0.3} -\frac{4p}{0.3}[/tex]
[tex]d=\frac{800}{3} -\frac{40p}{3}[/tex]
The demand d as a function of price is [tex]d=\frac{800}{3} -\frac{40p}{3}[/tex]
To determine how much is the quantity demanded if the price is $ 8 per gallon, you simply plug that value into the previously determined expression and perform the corresponding calculations:
[tex]d=\frac{800}{3} -\frac{40*8}{3}[/tex]
[tex]d=\frac{800}{3} -\frac{320}{3}[/tex]
d= 160
The demand if the price is $ 8 per gallon is 160 millions of gallons.
What is the quotient of 8,595 ÷ 24? 334 R 3 334 R 7 358 R 3 358 R 7
Answer:
358 u literally just waited your time u could have used a calculator
Step-by-step explanation:
Answer:
Quotient = 358
Remainder = 3
If I have a 10 ft PVC pipe,how many 11/5 cuts could I make out of it?
Answer:
80
Step-by-step explanation:
Pls answer fast Y=Mx+b for x And Y=Mx+b for m Shoe steps
Answer:
1. x= y/m - b/m
2. m= y/x - b/x
Step-by-step explanation:
hope this helps.
9,000 is blank as 900
What number is 0.1 less than 173.89
Answer:
173.79
Step-by-step explanation:
173.89 - 0.1 you move to the decimals place then remove that number once
The number 173.79 is 0.1 less than 173.89
What is Equation?Two or more expressions with an Equal sign is called as Equation.
We need to find how less is 0.1 than 173.89
In words zero point one is less than One hundred seventy three point eight nine.
To find this we have to use subtraction operator or difference.
Subtraction is an operation that represents removal of objects from a collection
Subtract 0.1 from 173.89
173.89-0.1
We get 173.79
Hence, the number 173.79 is 0.1 less than 173.89
To learn more on Equation:
https://brainly.com/question/10413253
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During a normal day, there are 280 planes taking off the airport, but the airport is a lot busier during Christmas. During the Christmas holidays, about 336 planes take off everyday from the airport
Compared with a normal day, how many more passengers depart from
the airport in a day during the Christmas holidays?
Answer:
56
Step-by-step explanation:
Answer:
6000
Step-by-step explanation:
we dont know how many people are in each plane but based on the average it should be this
Which of the following graphs show a proportional relationship?
Choose all answers that apply:
Answer:
Which of the following graphs show a proportional relationship?
Choose all answers that apply:
The answer is A.
Using the proportional relationship concept, the graph of a straight line through the origin is seen in option (A).
So, option (A) is the correct option.
What is proportional relationship?"If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate."
In a proportional relationship, two quantities vary directly with each other.
We can represent relationships in several ways:
1. An equation in the form of y = kx , where k is the constant of proportionality or unit rate.
2. A graph of a straight line that passes through the origin.
3. A set or table of ordered pairs that show equivalent ratios.
4. A verbal description that describes a describe proportional relationship between two quantities.
Explanation for correct option:
According to the given options
The graph of a straight line through the origin is seen in option (A).
So, option (A) is the correct option.
Explanation for other options:
In option(B),
The graph of a straight line does not passes through the origin.
So, option (B) is not correct
In option(C),
Graph is not given
So, it is also not correct
Hence, the graph of a straight line through the origin is seen in option (A).
So, option (A) is the correct option.
Learn more about proportional relationship here
https://brainly.com/question/8879344
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what does y=-(7)/(2)x+5 look like on a graph.
Answer:
Here you go buddy.
Bill has $6 more than Ted. Together they have $32. Write two equations and then solve for the amount of money that bill has.
Answer: Bill Has 19$
Step-by-step explanation: