Answer:
Step-by-step explanation:
1). You would add the numbers inside of the parenthesis first this would give you (13.34) inside of the parenthesis.
2). You equation should look like 0.5(13.34)9 now then you would multiply the 0.5 to the number inside of the parenthesis and you will have (6.67)9 now.
3). Lastly you will multiply the 6.67 to the 9 and you will get 60.03 as your final answer.
Luna has consumed 900 calories so far today. She has also burned 500 calories in dance class. She wants to keep her daily calorie total to 1,500 calories per day. How many calories does she have left to consume for the day? Is 1,200 a viable solution to this problem?
No; 1,200 is more than the 500 she burned dancing.
No; 1,200 will cause her to exceed 1,500.
Yes; 1,200 is less than 1,500.
Yes; 1,100 is less than 1,500.
Answer:
No; 1,200 will cause her to exceed 1,500.
Step-by-step explanation:
Luna has,
→ consumed 900 cal
→ burned 500 cal
She wants to keep her daily calorie,
→ 1,500 cal/day
Calories she have left to consume,
→ 1500 - (900 - 500)
→ 1500 - 400
→ 1100 cal
Hence, she has to consume 1100 cal more to reach 1,500 cal/day.
Jin borrows $3,600 and plans to pay the loan off in 18 months. How much simple interest will he owe if it takes 18 months to repay the loan? Round to the nearest cent.
He will owe a simple interest of $229.50
Simple interest is defined as the extra amount of money that is paid by the lender to the borrower for the amount of money that is taken on loan when returning the amount.
The simple interest on the principal is calculated by using the formula
I = P · R · T ,
Here I is the interest , P is the principal , R is the rate and T is the time.
Given in the question the amount of money loaned = $3600 , this is the principal (P) ,
Rate (R) = 4.25% = 0.0425
Time (T) is given 18 months which is equivalent to 1.5 years
Now the interest will be calculated by :
I = 3600 × 0.0425 × 1.5
I = 229.50
Therefore the interest earned is $ 229.50 .
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Question:✨Jin borrows $3,600 and plans to pay the loan off in 18 months. How much simple interest will he owe if it takes 18 months to repay the loan? Round to the nearest cent.
Answer: Ok took me a while to get the answer but
He will owe a simple interest of $229.50
Simple interest is defined as the extra amount of money that is paid by the lender to the borrower for the amount of money that is taken on loan when returning the amount.
The simple interest on the principal is calculated by using the formula
I = P · R · T ,
Here I is the interest , P is the principal , R is the rate and T is the time.
Given in the question the amount of money loaned = $3600 , this is the principal (P) ,
Rate (R) = 4.25% = 0.0425
Time (T) is given 18 months which is equivalent to 1.5 years
Now the interest will be calculated by :
I = 3600 × 0.0425 × 1.5
I = 229.50
Have an awesome night/day<3
Find the value of x .
2=x . 4/√3
The value of variable x for the given expression 2=x . 4/√3 is (√3 /2).
As given in the question,
Given expression :
2=x . 4/√3
To get the value of variable x
Multiply both the side of the expression by √3
2 × √3 = ( x × 4 × √3 ) / √3
Divide both the side of the expression by 4
( 2 × √3 ) /4 = (x × 4 ) / 4
⇒ x = √3 / 2
Therefore, the value of variable x for the given expression 2=x . 4/√3 is
(√3 /2).
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Write a recursive definition for each sequence. 1,4,7,10, . . . .
We get the following order:
1, 4, 7, 10, ....
Given that each term has a common difference, this is an arithmetic
sequence. In this instance, the next item in the series is obtained by multiplying the preceding term by 3.
The formula for arithmetic series is as follows:
an = a + (n - 1)d
Our first term is now a1 = 1.
Common variation d=3
Therefore, by entering these numbers into the given formula,
an = 1 + (n-1)3
an = 3n - 2
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Find the distance from the line to the given point.
y=1/6x+6,(-6,5)
The distance from the line [tex]y=\frac{1}{6} x+6[/tex] to the given point (-6,5) is o units .
Distance Formula : the distance between the line ax+by+c=0 and the point (p,q) is given by the formula
[tex]d=\frac{|ap+bq+c|}{\sqrt{a^{2} +b^{2} } }[/tex]
In the given question the equation of line is [tex]y=\frac{1}{6} x+6[/tex]
taking LCM and solving further
[tex]y=\frac{x+36}{6} \\ \\ 6y=x+36\\ \\ x-6y+36=0[/tex] ⇒equation of the line .
Given point (-6,5)
from above values we found that a=1 , b = -6 , c=36, p=-6, q=5.
Substituting the values in distance formula we get
[tex]d=\frac{|1*(-6)-6*5+36}{\sqrt{1^{2} +(-6)^{2} } }[/tex]
[tex]=\frac{|-6-30+36|}{\sqrt{37} }[/tex]
[tex]=\frac{-36+36}{\sqrt{37} }[/tex]
[tex]=0[/tex]
Therefore , the distance from the line [tex]y=\frac{1}{6} x+6[/tex] to the given point (-6,5) is 0 units.
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the answer is 100+ 30= 130
Answer:
Step-by-step explanation:
yes the answer is correct 100 + 30 = 130
mark me brainliest
Answer:
it is correct
Step-by-step explanation:
100
+ 30
___
=130
___
X=2y-2 z=5x+3y-4 3y=9
The values of the variable x, y and z are x = 4; y = 3 and z = 25.
What is the method of substitution?There are two approaches to resolving simultaneous linear equations: graphical methods and algebraic methods. The algebraic method comprises the substitution method as one of its categories.The algebraic method for solving simultaneous linear equations is the substitution method. The amount of one variable through one equation is interchanged in the other equation, as the name implies. In this manner, a pair of linear equations is transformed into a single linear equation only with one variable, that can then be solved easily.Now, as per the given question, the three equations are given below;
x = 2y - 2 .......eq 1
z = 5x + 3y - 4 .........eq 2
3y = 9 ...............eq 3
From equation , calculate y.
3y = 9
y = 9/3 = 3.
Substitute the value of y in eq 1.
x = 2y - 2
x = 2×3 - 2
x = 6 - 2
x = 4
Now, put the value of x and y in equation 2.
z = 5x + 3y - 4
z = 5×4 + 3×3 - 4
z = 20 + 9 - 4
z = 25
Thus, the values of the three variables are;
x = 4; y = 3 and z = 25.
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There are 5 yellow cards, 3 blue cards, and 7 red cards in a bag. A card is chosen at
random. What is the probability of choosing a yellow card and without replacing it,
choose blue card?
Answer:
0.714
Step-by-step explanation:
Argument
The total number of cards = 5 yellow. 3 blue and 7 red = 15 cards in all.
The probability of choosing a yellow card first is 5/15 = 1/3.
We are now down to 14 cards
There are 3 blue cards.
P(yellow then blue) = 1/3 * 3/14
P(yellow then blue) = 1/14 = 0.0714
considered cx-d=2x+4 if d value is 2 than what is c's value so this has
no solution
The value of c so that cx-d=2x+4 has No Solution is c=2.
In the given question ,
we have
cx-d=2x+4 ....(i)
Given that d = 2 ,
We substitute the value of d=2 in equation (i)
On substituting we get
cx-2=2x+4
Simplifying further we get
cx=2x+4+2
cx=2x+6
cx-2x=6
x(c-2)=6
x=6/(c-2)
For x to have NO SOLUTION the denominator should be 0.
because when denominator becomes 0 the value becomes not defined , hence will have no solution.
Substituting the denominator = 0
we get c-2=0
c=2.
Therefore , the value of c so that cx-d=2x+4 has No Solution is c=2.
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$60/year is equivalent to $_____/month.
Answer:
5 dollars a month
Step-by-step explanation:
There are 12 months in a year, so we divide the yearly amount by 12
60/12 = 5
5 dollars a month
Factorise completely x - 4x cubed
Evaluate each finite series for the specified number of terms. 12+2+ 1/3+ . . . ; n=4
For n= 4 the term = 1/18
A geometric sequence is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
Here the sequence is in a geometric sequence, as there is a common ratio between the two-term of the sequence.
Common ratio= 2/12 = [tex]\frac{1}{3}[/tex]/2=1/6
To find the nth term of the geometric sequence we have a formula
[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]
where a = first term of the sequence
r= common ratio
n = number of term
To find the term where n= 4, we have,
[tex]a_{4}[/tex]= 12[tex]\frac{1}{6}^{4-1}[/tex]
= 12[tex]\frac{1}{6}^{3} }[/tex]
= 12/216
=1/18
Therefore for n= 4 we have the term 1/18.
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Please please help me!! I don't understand this and if I fail i'm going to get in trouble!!
Answer: 3.82x10^7
Step-by-step explanation:
l
Write & solve each equation. The sum of three consecutive even integers is -96. Find
the integers.
Answer:
-30, -32 and -34
Step-by-step explanation:
-30 + -32 + -34 = -96
Find the geometric mean between pair of numbers.
20 and 25
The value of the geometric mean of the numbers 20 and 25 is.
Gm ( 20, 25) = 10√5
To solve this problem we define geometric mean.
Geometric meanThe geometric mean is defined as a type of measure that is calculated as the root of a product between a set of numbers, it can be expressed as follows:
Gm (a,b,c) = √(a×b×c)
Then in our case that we have the values 40 and 15, these are equivalent to the variables a and b
a = 20b = 25We substitute and solve for the square root
Gm (20, 25) = √20×25
Gm (20, 25) = √500
Gm (20, 25) = √5×100
Gm ( 20, 25) = 10√5
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Is the sequence geometric? If it is, what are a₁ and r ?
c. 2³, 2⁷, 2¹¹, 2¹⁵, . . . . . . . .
Answer:
a₁ = 8 and r = 16
Step-by-step explanation:
the sequence has a common ratio r between consecutive terms and is therefore geometric , that is
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{2^{7} }{2^3}[/tex] = [tex]2^{(7-3)}[/tex] = [tex]2^{4}[/tex] = 16
r = [tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{2^{11} }{2^7}[/tex] = [tex]2^{(11-7)}[/tex] = [tex]2^{4}[/tex] = 16
r = [tex]\frac{a_{4} }{a_{3} }[/tex] = [tex]\frac{2^{15} }{2^{11} }[/tex] = [tex]2^{(15-11)}[/tex] = [tex]2^{4}[/tex] = 16
the first term a₁ = 2³ = 8
Write an equation of the line through each pair of points. Use point-slope form.(-1/2, -1/2) and (-3,-4)
The equation of the line in point-slope form, which passes through the pair of points located at (-1/2 , -1/2) and (-3 , -4), is y + 1/2 = 7/5(x + 1/2).
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Getting the slope of the two points: (-1/2 , -1/2) and (-3 , -4).
m = (y2 - y1)/(x2 - x1)
m = (-4 - -1/2)/(-3 - -1/2)
m = (-7/2)/(-5/2)
m = 7/5
Using the point slope form, plug in the values of the slope and one point to set up the equation.
(y - y1) = m(x - x1)
where m = 7/5 and (x1 , y1) = (-1/2 , -1/2)
(y - -1/2) = 7/5(x - -1/2)
y + 1/2 = 7/5(x + 1/2)
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lcm of 2 3 7 45 8 9 66 and 4
Answer:
LCM = 27,720
Step-by-step explanation:
brainliest please
How would I find the coordinate of a point Q if P is the midpoint of NQ (with line over it). P is 3, -2 and N is 5, -3
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ N(\stackrel{x_1}{5}~,~\stackrel{y_1}{-3})\qquad Q(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +5}{2}~~~ ,~~~ \cfrac{ y -3}{2} \right) ~~ = ~~\underset{midpoint}{\stackrel{\textit{\LARGE P}}{(3~~,~~-2)}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{x+5}{2}=3\implies x+5=6\implies \boxed{x=1} \\\\\\ \cfrac{ y -3}{2}=-2\implies y-3=-4\implies \boxed{y=-1}[/tex]
The principal p is borrowed at simple interest rate r for a period of time t. find the loan's future value, a, or the total amount due at time t. round answer to the nearest cent.
4600 is the loan's future value, a, or the total amount due at time t.
What Is Simple Interest?
Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.P=$4000
r=5%
t=3 years
Now we have to find th loans future value A.
So
Simple interest me I=prt=(4000)(.05)(3)=600
Total due is Principal + Interest =4000+600= 4600
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The radius r og a sphere is increasing at a rate of 6 inches per minute. find the rate of change of the volume when r=11 inches
The rate of change of the volume is 9123 . 185 inches³/min.
What is volume of the sphere?
V = 4/3 r3 is the formula for a sphere's volume. See how the formula is applied in an example where the sphere's diameter is provided.Volume of sphere is
V = 4/3 π r³
differentiating with respect to time
[tex]\frac{dv}{dt} = \frac{4}{3} \pi . 3r^{2} . \frac{dr}{dt}[/tex]
[tex]\frac{dv}{dt} = 4\pi r^{2} . \frac{dr}{dt}[/tex]
now [tex]\frac{dr}{dt} = 6 inches/min ,[/tex] when r = 11
[tex]\frac{dv}{dt} = 4\pi (11)^{2} . 6[/tex]
= 2904 π cubic inches per minute
≅ 9123 . 185 inches³/min
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Bonus Solve
5x-3+3x-(8-2x) = 9
Answer:
Step-by-step explanation:
[5x+3x-(-2x)]+[-3-8]=9
10x+(-11)=9
10x=20
x=2
biofuel for a jet engine is made up of 50% jet A 47.5% jatropha and the rest is algae. what percent of biofuel is algae?
Answer:
Tell what each power means but don't determine its value
The solution to the original system is the pair and Explain why it makes sense that this pair of values is also the solution to the equation
Sum of the two separate equations.
The values satisfies the equation is 2430.
What is equation?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
Given that,
Equations for the two separate days :
125a +65 s = 1,200 - - - Friday
140a +50s = 1,230 - - - Saturday
Because, Inputting the solution, satisfied the equation:
a = 7 ; s = 5
265a+115s=2430
265(7) + 115(5) = 2430
1855 + 575 = 2430.
Therefore, The values satisfies the equation is 2430.
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21=7e-4f
solve for f
step by step
Thanks
The solution for f in expression 21 = 7e - 4f is (7e - 21) / 4
Given,
The expression: 21 = 7e - 4f
We have to solve this expression for f:
Then,
21 = 7e - 4f
Add 4f to both sides
21 + 4f = 7e - 4f + 4f
Then we will get,
21 + 4f = 7e
Add -21 to both sides
21 + 4f - 21 = 7e - 21
Then we will get,
4f = 7e - 21
Take 4 from left hand side to right hand side.
That is,
f = (7e - 21) / 4
Therefore, the solution for f in expression 21 = 7e - 4f is (7e - 21) / 4
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What is the solution of the system of equations? x+3y = 5 , -2x - 4y = -5.
The solution of the system of equations involving x + 3y = 5 and -2x - 4y = -5 is (-5/2 , 5/2).
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.
There are three methods that can be used to solve system of linear equations.
1. Elimination
2. Substitution
3. Graphing
Using substitution method, given two linear equations in x and y,
x + 3y = 5 (equation 1)
-2x - 4y = -5 (equation 2)
Using the first equation, find the value of one variable, lets say x, in terms of the other.
x + 3y = 5 (equation 1)
x = 5 - 3y
Substitute the equation of x to the second equation.
-2x - 4y = -5 (equation 2)
-2(5 - 3y) - 4y = -5
-10 + 6y - 4y = -5
Combining all terms containing the variable y on one side and the constants on the other side of the equality, and solving for y.
-10 + 6y - 4y = -5
6y - 4y = -5 + 10
2y = 5
y = 5/2
Substitute the value of y in the equation of x.
x = 5 - 3y
x = 5 - 3(5/2)
x = 5 - 15/2
x = -5/2
Hence, the solution of the given system of equations is (-5/2 , 5/2).
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Which of the following is not a way to represent the solution of the inequality 2(x − 1) less than or equal to 10?
A number line with a closed circle on 6 and shading to the right
A number line with a closed circle on 6 and shading to the left
6 greater than or equal to x
x less than or equal to 6
x less than or equal to 6 is the following is not a way to represent the solution of the inequality.
What is inequality in math?
A mathematical statement indicating an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3. Finding the x numbers for which the inequality holds true is what we are most interested in.2(x − 1) ≤ 10
2x - 2 ≤ 10
2x ≤ 10 + 2
2x ≤ 12
x ≤ 6
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Given F= {(2, 6), (3, 1), (4, 5), and (5,3)} find F-¹(3)
The value of the reverse permutation is F-¹(3) = 5.
What is defined as the inverse permutation?An inverse permutation is one in which each number as well as the number of the place it occupies are swapped.
(1) (2), for example, are inverse permutations because the positions of 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 in are and the positions of 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 in are also.It is important to note it never says that "f" is a function; rather, it asserts that the inverse of "f" is a function is if domain of f is restricted.For, the given values in the question;
So, if you remove the last point, (5,3), the inverse is a function because it contains only the points.
F= {(2, 6), (3, 1), (4, 5), and (5,3)}.
Thus, it can be written as;
F: 2 → 3 → 4 → 5
F: 6 → 1 → 5 → 3.
Thus, F-¹(3); 3 → 5.
F-¹(3) = 5.
Therefore, the value of the reverse permutation is F-¹(3) = 5.
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Use the numbers 3, 4, 6, and 8 once in each exercise to make a true
statement.
The true statements are as follows:
(6 ×3) ÷ (6 + 3) = 2
4 × 6 ÷ ( 3 × 8 ) = 1
3 × (3× 3) + 6 = 18
6 ÷ (4 - 3) + 8 = 14
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have the numbers 3, 4, 6, and 8 once in each exercise to make a true.
⇒ (6 ×3) ÷ (6 + 3) = 2
⇒ 4 × 6 ÷ ( 3 × 8 ) = 1
⇒ 3 × (3× 3) + 6 = 18
⇒ 6 ÷ (4 - 3) + 8 = 14
Thus, the required solution is shown above.
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NASA launches a rocket at
t
=
0
t
=
0
seconds. Its height, in meters above sea-level, in terms of time is given by
h
=
−
4.9
t
2
+
259
t
+
423
h
=
-
4.9
t
2
+
259
t
+
423
.
How high is the rocket after 8 seconds?
meters
How high was the rocket when it was initially launched?
meters
Answer:
Step-by-step explanation
Height for time = 8 seconds
h = -4.9t^2 + 259t + 423
h = -4.9(8)^2 + 259(8) + 423
h = -313.6 + 2072 + 423
h = 2181.4 meters at 8 seconds
Heoght for time = 0 seconds
h = -4.9t^2 + 259t +423
h = -4.9(0)^2 + 259(0) + 423
h = 0 + 0 + 423
h = 423 meters at 0 seconds
