multiply decimals 9.07 × 6.5=
Answers
ANSWER
[tex]58.955[/tex]EXPLANATION
We want to make the given multiplication.
To do this, first, write the numbers as whole numbers:
[tex]\begin{gathered} 9.07\Rightarrow907\div100 \\ 6.5\Rightarrow65\div10 \end{gathered}[/tex]Now, we have to multiply the two whole numbers and divide the final answer by 1000 (i.e. 100 * 10)
Therefore, we have:
Now, divide by 1000:
[tex]\begin{gathered} \frac{58955}{1000} \\ \Rightarrow58.955 \end{gathered}[/tex]That is the answer.
Related Questions
I want to see if I solved a problem correctly
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The problem gives us two expressions:
[tex]\begin{gathered} y=9x-18 \\ y=18x \end{gathered}[/tex]And we need to solve for x. For that, the first step is to replace "y" on the first expression by the right side of the second expression:
[tex]18x=9x-18[/tex]Now we need to isolate the "x" variable on the left side:
[tex]\begin{gathered} 18x-9x=-18 \\ 9x=-18 \\ \frac{9x}{9}=\frac{-18}{9} \\ x=-2 \end{gathered}[/tex]We can now find "y" by replacing the value of "x" on the second expression:
[tex]y=18\cdot(-2)=-36[/tex]The value of x is equal to -2, and the value of y is equal to -36.
$1,340 is deposited into a savings account that earns 6% simple interest for three years. What is the balance in the account after 3 years?
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Given:
Pricipal P = %1340.
The rate of interest r = 6% = 0.06.
The numver of years t =3.
The formula to find the amount by simple interest is
[tex]A=P(1+_{}\text{rt)}[/tex]Substitute P=1340, r=0.06, and t=3 in the formula, we get
[tex]A=1340(1+0.06\times3)[/tex][tex]A=1581.2[/tex]The balance in the account after 3 years is $ 1581.20.
Chase and Heather are traveling towards each other from points that are 469 miles apart. If heather is traveling 7 mph faster than they meet after 7 hours, how fast was each traveling?Chase is traveling ___ mphHeather is traveling ___ mph
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The distance between Chase and Heather is 469 miles
They each travel for 7 hours (when they meet)
If 2i is a zero of f(x)=x^4+x^2+a, find the value of a. Then find the other 3 solutions.
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i^4 = 1
i^2 = -1
If 2i is a zero:
[tex](2i)^4+(2i)^2+a=0[/tex][tex]2^4\times i^4+2^2\times i^2+a=0[/tex][tex]16\text{ - 4 = a}[/tex][tex]a=12[/tex]So the equation is going to be:
[tex]f(x)=x^4+x^2+12[/tex]1. **Write the equation of the line that is perpendicular to y = -x + 4 and goes through the point (-8,2)
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Write the equation of the line that is perpendicular to y = -x + 4 and goes through the point (-8,2
step 1
Find the slope of the perpendicular line
If two lines are perpendicular, then their slopes are inverse reciprocal
so
the slope of the given line is m=-1/2
therefore
the slope of the perpendicular line is m=2
step 2
Find the equation of the line in slope intercept form
y=mx+b
we have
m=2
point(-8,2)
substitute
2=(2)(-8)+b
solve for b
2=-16+b
b=18
therefore
the equation of the line is
y=2x+18Which of these best describes the profit Frank makes from selling these cards?
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The correct answer is option C.
That is, He makes $1.00 for each 6 boxes he sold.
How do you do the slope of two triangles on the same line as the hypotenuse?
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We can say that the triangles is similar if the slope of the hypotenuse is the same.
The slope is Vertical sides divided by the horizontal side.
The upper triangle has vertical side of 3 and a horizontal side of 2 (By counting)
The slope will be m = 3/2
The lower triangle has a vertical side of 6 and a horizontal side of 4.
The slope will be m = 6/4 = 3/2
Since the slope is the same, the triangles are similar. and the slope is m = 3/2
Solve Einstein's formula E = mc? for c where E. m, and c are greater than zero.
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Solve the following equation for c:
[tex]E=mc[/tex]We can divide in both sides by m. Since m is greater than zero, we can do it without problem (because we can not divide by 0).
[tex]\frac{E}{m}=c[/tex]Find the volume of the cone on the left. Use 3.14 for i. The volume is m (Type a whole number or a decimal. Round to the nearest hundredth as needed.) 148 m 19 m
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Given data:
The given figure of the cone.
The expression for the volume of the cone is,
[tex]\begin{gathered} V=\frac{1}{3}\pi(r)^2h \\ =\frac{1}{3}\pi(19m)^2(148\text{ m)} \\ \approx55,921.31m^3\text{ } \end{gathered}[/tex]Thus, the volume of the cone is 55,921.31 cubic-m.
Suppose the local sales tax rate is 4% and you purchase a car for 11,700. What is the amount of tax paid and what is the total cost of the car
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Percentages
The cost of a car is $11,700. The sales tax is 4%.
Applying the tax %:
Tax amount = 4 * 11,700 / 100 = $468
The total cost of the car is:
$11,700 + $468 = $12,168
Tax paid: $468
Total cost: $12,168
Triangle RST is translated along the indicated vector to create the image R'S'T'. What are the coordinates of the vertices of the image?If R and R' are connected with a straight line, the line segment RR' would measure_____units
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Answer:
(a)R'(5,5), S'(9.2) and T'(4,2)
(b)5 units.
Explanation:
The indicated vector shows a translation of 4 units down and 3 units right.
From the graph, the vertices of triangle RST are:
R(2,9), S(6, 6) and T(1,6)
(a)The coordinates of the vertices of the image will then be:
[tex]\begin{gathered} R^{\prime}=(2+3,9-4)=(5,5) \\ S^{\prime}=(6+3,6-4)=(9,2) \\ T^{\prime}=(1+3,6-4)=(4,2) \end{gathered}[/tex](b)If R and R' are connected with a straight line
The length of the line segment RR' will be the distance between R(2,9) and R'(5,5).
Using the distance formula, we have:
[tex]\begin{gathered} Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ =\sqrt[]{(2-5)^2+(9-5)^2} \\ =\sqrt[]{(-3)^2+(4)^2} \\ =\sqrt[]{25} \\ =5\text{ units} \end{gathered}[/tex]The line segment RR' would measure 5 units.
Find the slope of the line that passes through (10, 10) and (3,1).Simplify your answer and write it as a proper fraction or improper fraction
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The formula for the slpe of line passes through point (x_1,y_1) and (x_2,y_2) is,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Determine the slope of line passes through the points.
[tex]\begin{gathered} m=\frac{1-10}{3-10} \\ =\frac{-9}{-7} \\ =\frac{9}{7} \end{gathered}[/tex]So answer is 9/7.
A 5 1/2 ounce strawberry smoothie has 28 1/2 protein of protein in it. Approximately how many grams of protein per ounce are in the smoothie? A. 0.2B. 5.2 C. 4.5
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Method
Divide amount of protein by weight of ounce.
[tex]\begin{gathered} \\ Grams\text{ of protein per ounce = }\frac{28.5}{5.5} \\ =\text{ 5.2} \end{gathered}[/tex]How do I write transformations? More specifically how would I show how a line is being shifted up and down and how can I show said line is being reflected?
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Given an arbitrary line with gradient m, that passes through a point (x1, y1)
The equation of the line is
y - y1 = m( x - x1)
To shift the line up by g units
Then, the new equation becomes
y - y1 + g = m(x - x1)
To shift the line down by g units
Then, the new equation becomes
y - y1 - g = m(x - x1)
Taking the axis of reflection as x = 0
The reflection of the line is
-y - y1 = m( x - x1)
Taking the axis of reflection as y = 0
The reflection of the line is
y - y1 = m( -x - x1)
You hit 9) Consider the set of related x and y values. Which value of g would make it impossible for the set to represent a function? {(8. 67), (5, 28), (g. 19), (9,84)}
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Remember that for any value on the domain of a function, there can only be one value on the range that assigns to it.
We have the set:
[tex]\mleft\lbrace(8,67\mright),(5,28),(g,19),(9,84)\}[/tex]therefore, a value of g that make it impossible for the set to represent a function can be 8, 5 or 9, since those values already have another value assigned from the range.
Given the matrices A and B shown below, solve for X in the equation2X + A=-B.A9-12-3793B=01012-12Rows: 2 0Columns: 2Submit Answernamnteconto
Answers
Let's solve for X in the matrix equation first,
[tex]\begin{gathered} 2X+A=-\frac{1}{2}B \\ 2X=-\frac{1}{2}B-A \\ X=\frac{-\frac{1}{2}B-A}{2} \\ or, \\ X=(\frac{1}{2})\times(-\frac{1}{2}B-A) \end{gathered}[/tex]This means, we have to find (-1/2B) and then subtract A.
We then multiply that matrix by the scalar constant (1/2).
*Remember, multiplying a matrix by a scalar means multiplying all the entries of the matrix by that scalar.
* Also, when we subtract matrices, we are basically subtracting each corresponding entry from each other
Let's show the matrix operations:
[tex]\begin{gathered} X=(\frac{1}{2})\times(-\frac{1}{2}B-A) \\ X=(\frac{1}{2})\times(-\frac{1}{2}\begin{bmatrix}{0} & {12} & {} \\ {10} & {-12} & {} \\ {} & {} & {}\end{bmatrix}-\begin{bmatrix}{9} & {-3} & {} \\ {-12} & {9} & {} \\ {} & {} & {}\end{bmatrix}) \\ X=(\frac{1}{2})\times(\begin{bmatrix}0 & -6 \\ -5 & 6\end{bmatrix}-\begin{bmatrix}9 & -3 \\ -12 & 9\end{bmatrix}) \\ X=(\frac{1}{2})\times(\begin{bmatrix}0-9 & -6--3 \\ -5--12 & 6-9\end{bmatrix}) \\ X=(\frac{1}{2})\times\begin{bmatrix}-9 & -3 \\ 7 & -3\end{bmatrix} \\ X=\begin{bmatrix}-\frac{9}{2} & -\frac{3}{2} \\ \frac{7}{2} & -\frac{3}{2}\end{bmatrix} \end{gathered}[/tex]Find the probabilityA box of chocolates contains three milk chocolates, four dark chocolates, and threewhite chocolates. You randomly select a chocolate. It is a milk chocolate or a darkchocolate.O 0.556O None of the other answers are correct0 0.7000363O 0.818
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In total the box has 10 chocolates. 7 of them are milk or dark chocolate, hence the probability is:
[tex]P=\frac{7}{10}=0.7[/tex]Therefore the probability is 0.7
please help me I'm not really good with words problem
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we know that
The perimeter of rectangle is equal to
For each value of u, determine whether it is a solution to 5u + 6 > 51.
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ANSWER
[tex]u=10[/tex]EXPLANATION
Given
[tex]5u+6>51[/tex]To check if each of the given values is a solution;
We substitute each of the given values into the equation.
Hence, when;
[tex]\begin{gathered} u=-1 \\ \end{gathered}[/tex][tex]5u+6>51[/tex]substitute
[tex]u=-1[/tex]We have;
[tex]\begin{gathered} 5u+6\gt51 \\ 5\left(-1\right?+6>51 \\ -5+6>51 \\ 1>51 \end{gathered}[/tex]Since ;
[tex]1<51[/tex]Hence;
[tex]u=-1[/tex]u = -1 is not a solution.
When
[tex]u=10[/tex][tex]\begin{gathered} 5u+6\gt51 \\ 5\left(10\right?+6>51 \\ 50+6>51 \\ 56>51 \end{gathered}[/tex]Hence;
[tex]u=10[/tex]Is a solution.
When
[tex]u=9[/tex]Substitute u = 9
[tex]\begin{gathered} 5u+6\gt51 \\ 5\left(9\right?+6>51 \\ 45+6>51 \\ 51>51 \end{gathered}[/tex]Hence
[tex]u=9[/tex]is not a solution
Hence, since -6 is less than 9, -6 is not also a solution to the given equation.
Therefore the only solution is;
[tex]undefined[/tex]The graph of a function f is shown below.Find one value of x for which f(x)=-3 and find f(0).Hey
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One value of x for which f (x ) = -3 is -2 .Therefore,
f(-2) = - 3
f (0) = 1
1- A given line as a slope of – and y-intercept of 8. Which equation represents a line4that is parallel to the given line and passes through the point (-8,-2)?
Answers
Answer:
y=(1/4)x.
Explanation:
Two lines are parallel if their slopes are equal.
The slope of the given line is 1/4, therefore:
• The slope of the new line = 1/4
Thus, the goal is to find the equation of a line with a slope of 1/4 that passes through (-8,-2).
Using the point-slope formula:
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-(-2)=\frac{1}{4}(x-(-8)) \\ y+2=\frac{1}{4}(x+8) \\ y+2=\frac{1}{4}x+2 \\ y=\frac{1}{4}x+2-2 \\ y=\frac{1}{4}x \end{gathered}[/tex]The equation of the line is y=(1/4)x.
The 3rd choice is correct.
Find the equation of the line that passes through the given points. (Use x as your variable.)(2, 0), (0, −1)
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Find the equation of the line that passes through the given points. (Use x as your variable.)
(2, 0), (0, −1)
step 1
Find out the slope
m=(-1-0)/(0-2)
m=-1/-2
m=1/2
step 2
Find out the equation of the line in slope-intercept form
y=mx+b
where
m is the slope
b is the y-coordinate of the y-intercept
we have
m=1/2
the y-intercept is given -----> (0,-1)
so
b=-1
substitute
y=(1/2)x-1Find f(8) if f(x) = 5x-1
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Answer
f(8) = 39
Explanation
The question asks us to find f(8), that is, f(x) when x = 8 if
f(x) = 5x - 1
Inserting x = 8
f(8) = (5 × 8) - 1
f(8) = 40 - 1
f(8) = 39
Hope this Helps!!!
√ is simplified to x4y5y√. What were the values of H and K in the original question?
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To solve this problem, we will use the following properties of exponents:
[tex]\begin{gathered} \sqrt{a}=a^{\frac{1}{2}}, \\ \sqrt{a}^n=a^{\frac{n}{2}}, \\ a^na^m=a^{nm}. \end{gathered}[/tex]Using the first and second properties we notice that:
[tex]x^4y^5\sqrt{y}=\sqrt{x^{2*4}y^{2*5}y}.[/tex]Simplifying we get:
[tex]\sqrt{x^8y^{10}y}.[/tex]Finally, applying the last property, we get:
[tex]\sqrt{x^8y^{11}}.[/tex]Answer:
[tex]\begin{gathered} H=8, \\ K=11. \end{gathered}[/tex]By the Zero Product Property, if (2x - 1)(x - 5) = 0, then
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Split into two equations:
[tex]\begin{gathered} 2x-1=0_{\text{ }}(1) \\ x-5=0_{\text{ }}(2) \end{gathered}[/tex]From (1) solve for x:
[tex]\begin{gathered} 2x=1 \\ x=\frac{1}{2} \end{gathered}[/tex]From (2) solve for x:
[tex]x=5[/tex]Answer:
x = 1/2 or x = 5
The percent of change from 30 to 39
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The percent change formula is :
[tex]\%=\frac{N-O}{O}\times100[/tex]where N is the new value and O is the original value.
From the problem, we have O = 30 and N = 39
Using the formula above :
[tex]\%=\frac{39-30}{30}\times100=30\%[/tex]The answer is 30%
2. Write an expression that can be used to calculate how many hours are needed for a party. Then use yourexpression to tell the number of hours needed for a party with 16 participants and 4 escape puzzles.• (Replace this text with your expression)I• (Replace this text with your answer and work)
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We know that each escape room is scheduled for 20 minutes. So, if there are 8 participants, then they need 160 minutes, which is equivalent to 2.67 hours.
So, the expression would be
[tex]\frac{20\times8}{60}[/tex]On the other hand, if there are 16 participants, then the hours needed are
[tex]2\cdot\frac{20\times8}{60}\approx5.33[/tex]The sum of two numbers is 32 and the quotient in 3.find the two numbers.
Answers
8 and 24
Explanation:let the two numbers be x and y
Sum of the two numbers = 32
[tex]x\text{ + y = }32\text{ . . . equation 1}[/tex]Quotient = 3
[tex]\begin{gathered} \frac{x}{y}\text{ = 3 . . . equation 2} \\ x\text{ = 3y . . . equation 2} \end{gathered}[/tex]substitute for x in equation 1:
[tex]\begin{gathered} 3y\text{ + y = 32} \\ 4y\text{ = 32} \\ y\text{ = }\frac{32}{4} \\ y\text{ = 8} \end{gathered}[/tex][tex]\begin{gathered} x\text{ = 3(8)} \\ x\text{ = 24} \end{gathered}[/tex]Hence, the two numbers are 8 and 24
write the equation of a line in slope intercept form m=-1/8; (8,-5)
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Solution
For this case we have the slope given by:
m = -1/8
And a point given (8,-5) and we can find the equation in the following way:
[tex]-5=-\frac{1}{8}(8)+b[/tex]And we can solve for the intercept b like this:
[tex]b=-5+1=-4[/tex]And the line would be given by:
[tex]y=-\frac{1}{8}x-4[/tex]Recently, More Money 4U offered an annuity that pays 45% compounded monthly If $1,000 is deposited into this annuity overy month, how much is in the account after 4 years? How much of this is interest?Type the amount in the accounts(Round to the nearest dollar)
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Answer:
Given that,
Interest rate compounded monthly is 45%
Amount deposited is $1000
Total number of months in 4 years is 4x12=