1133.98 grams of rice is required for the preparation of the recipe which calls for 40 ounces of rice.
Given that:
A recipe requires 40 ounces of rice for its preparation.
We know that,
1 ounce = 28.3495 grams
We also know that,
1 gram = .035274 ounces.
To find the value of 40 ounces multiplies both sides by 40.
40 ounce = 28.3495 grams x 40
40 ounce = 1133.98 grams
Hence, for the preparation of the recipe which calls for 40 ounces of rice, 1133.98 grams of rice is required.
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The population of a city has increased by 24% since it was last measured. If the current population is 65,100, what was the previous population?
Answer: 49476
Step-by-step explanation:
Solve this system of equations by graphing. First graph the equations, and then type the
solution.
y = 5/2x - 1
y = 2x - 3
Click to select points on the graph.
The solution of the system equation is (-4,-11).
What is system equation?
One or more equations involving a number of variables make up a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.
Here the given system equation is,
=> y = 5/2x-1------->1
=> t=2x-3---------->2
Put 1 into 2 then
=> 5/2x-1=2x-3
=>1/2 x=-2
=> x=-4
Put x=-4 into 2 then,
=> y=-8-3=-11.
Hence the solution of the system equation is (-4,-11).
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is going to invest $820 and leave it in an account for 19 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest tenth of a percent, would be required in order for John to end up with $1,830?
The rate of interest for an amount which is compounded quarterly is 4.25%
Given,
The principal amount invested by Oliver, P = $820
The time period of the investment, t = 19 years
The interest is compounded quarterly, n = 4
The amount after 19 years, A = $1830
The compound interest formula;
A = [tex]P (1+\frac{r}{n} )^{nt}[/tex]
We have to find the rate of interest;
For that;
A = [tex]P (1+\frac{r}{n} )^{nt}[/tex]
1830 = 820 [tex](1+\frac{r}{4} )^{76}[/tex]
1830/820 = [tex](1+\frac{r}{4} )^{76}[/tex]
₇₆√1830/820 = 1 + r/4
₇₆√1830/820 - 1 = r/4
r = 4 (₇₆√1830/820 - 1)
r = 0.042 x 100
r = 4.25%
That is,
The rate of interest for an amount which is compounded quarterly is 4.25%
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In a baseball league of six teams, how many games are needed to complete the schedule if each team plays seven games with each other team?
If the six teams of a baseball league , and each team plays seven games with each other , then the number of games to be played is 105 .
in the question ,
it is given that
the number of teams in the baseball league = 6
number of matches that each team plays with each other = 7 .
Number of ways two teams can be selected out of 6 teams = C(6,2)
and they need to play 7 games with each other ,
so the number of games required to complete the schedule is
= 7 × C(6,2)
= 7 × 15
= 105
Therefore , the number of matches that is needed to complete the schedule is 105 .
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Work out 132% of 96 m
Give your answer as a decimal in metres (m).
Answer:
126.72m
Step-by-step explanation: 1.32 x 96 = 126.72, I struggled with that stuff too no shame
1.) Solve the following equation for w: 3w-4(w-3) = 6
Answer: w=6
Step-by-step explanation: 1. Simplify. Distribute the -4 to the w and the -3. -4*w is -4w and -4*-3 is +12, so your left with 3w-4w+12=6.
2. simplify again. 3w-4w is -w.
3. -w+12=6. Subtract w to both sides, so its -w=-6. The negatives cancel out, so w just equals 6.
What is the approximate percent decrease from 1865 to 1240?
Answer: It should be 33.5%
Write the equation of the parabola that has the same shape as f(x)=-3x² but with vertex (5,9) in the form f(x)=a(x-h)²+k
f(x)=
Which is the graph of y=LxJ-2?
Answer:
the third one is the answer.
Step-by-step explanation:
take 0 at the x value, the greatest integer function of 0 is 0 its self. so when you take 0, Y=[x]-2 become -2. so the y-axis Crosses in (0,-2).
SOME ONE PLS HELP RNNNNNNN ! WILL GIVE BRAINLEST
Answer:
below
Step-by-step explanation:
point -1,-4
y - -4 = 3 ( x - -1)
y + 4 = 3 ( x+1) <====== I think this is a far as they want you to take it
y = 3x -1 slope - intercept form
Bilquis has x dimes and y nickels. She has at least 15 coins worth no more than $1 combined. Solve this system of inequalities graphically and determine one possible solution.
One of the possible solutions to this system of linear inequation is
(10, 5).
What is a linear equation?A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Given, Bilquis has x dimes and y nickels.
We know a nickel is 5 cents and a dime is 10 cents.
She has at least 15 coins,
∴ x + y ≥ 15...(i)
She has no more than $1 combined.
0.05x + 0.1y ≤ 1...(ii)
The possible solution of these two inequalities by the graphing method we get (10, 5)
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What type of connection can you make between markups and tips or taxes? What type of connection can you make between markdowns and discounts? Explain your answer.
Markup adds an increase in the original price of an item, and tips or taxes add money to a bill. Hence, the connection between markups and tips or taxes.
Discounts are given in order to lower the price of an item from its original price, and markdown is the price that is reduced from an item's original price.
What is the difference between Markup and Markdown?
Markup price is the increase in an item (by a certain percentage) over the original price.
Markdown prices are reductions in an item's selling price from its initial selling price expressed as a rate (markdown percentage).
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If Elon and Jeff work together, they can finish the work in 3 hours. If Jeff works together with Bruce, they
can make this work done in 6 hours. Elon and Bruce can finish this work in 4 hours. How much time would
it take to finish the work if all three worked together? pls helpp
Answer:
2 2/3 hours
Step-by-step explanation:
You want to know the time it would take Elon, Jeff, and Bruce working together, if Elon and Jeff can complete the work in 3 hours, Jeff and Bruce take 6 hours, and Elon and Bruce take 4 hours.
Total of ratesJob completion time problems like this one are more easily understood in terms of rate of completion. If we let e, j, and b represent the rates of job completion in jobs per hour for each of Elon, Jeff, and Bruce, respectively, then the given relations can be written ...
e +j = 1/3
j +b = 1/6
e +b = 1/4
Adding these equations together gives ...
(e +j) +(j +b) +(e +b) = (1/3) +(1/6) +(1/4)
2(e +j +b) = 3/4 . . . . . . . simplify
e + j + b = 3/8 . . . . . . . . divide by 2
The total rate of job completion when Elon, Jeff, and Bruce work together is 3/8 job per hour. The hours it takes them to do one job is the reciprocal of this:
1/(3/8 job/hour) = 8/3 hour/job
It would take Elon, Jeff, and Bruce 2 2/3 hours to complete the work if they worked together.
__
Additional comment
For this problem, we don't need to know the individual completion times. If we were to figure them we'd find them to be (working alone) ...
Elon: 4.8 hoursJeff: 8 hoursBruce: 24 hours2.64 to nearest whole number
Answer:
3
Step-by-step explanation:
2.64 rounded to the nearest whole number would be 3. This is because if a number is 5 or greater than 5, it rounds up, but if a number is under 5, it would round down. Since we are looking at the number to the right of the 2 in 2.64, and because we are looking for the nearest whole number, it would round up to 3. 6 is greater than 5, so we automatically know that we round up.
What theorem is used to find the side of a triangle in a right triangle?
A. midsegment theorem
B. base angle theorem
C. triangle proportionality theorem
D. Pythagorean theorem
$8 is what percent of $8?
Answer:
100%?
Step-by-step explanation:
Using the distributive property, an expression is equivalent to 20+30
What is a graph theory in math?
Answer:
Graph theory is used in dealing with problems that have a reasonably natural graph/network structure.
Explanation:
For example,
road networks - nodes = towns
road junctions, arcs = roads
Communication networks - telephone systems
'Computer systems'
Foreign exchange/multinational tax planning (network of fiscal flows).
Hope it helped! :)
Graph theory is applied to problems that have a fairly natural graph/network structure.
What is graph theory?Graph theory is the study of graphs in mathematics, which are mathematical structures used to model pairwise relationships between objects. In this context, a graph is made up of vertices (also known as nodes or points) connected by edges (also called links or lines).
Graph Theory is the study of relationships. Graph theory, given a set of nodes and connections that can abstract anything from city layouts to computer data, provides a useful tool for quantifying and simplifying the many moving parts of dynamic systems.
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Solve the exponential equation 31^d = 38
1. If the ice skates are on sale for 30% off, how much money
would you save?
Answer:
14.40 rounded, 14.3999 whole number
Step-by-step explanation:
hope this helps :)
Can someone help me I don’t understand this question it’s geometry
The triangle with all sides is are given below
What is a triangle?
Triangles are three-sided closed polygon formed by the intersection of three lines. It is encountered a lot in everyday life. It is one of the basic shapes of geometry. It has three sides, three angles, and three vertices.
Given, angle A =30, b=6
we know cos 30 = √3/2
√3/2 = b/c
√3/2=6/c
c =6/√3/2= 6.9
Similarly for a=13, b =13
using pythagoras theorem,
c^2=a^2+b^2
=18.38
Hence, we can write the rest part
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3. Two of the vertices of an equilateral triangle are (0, -a)
and (0, a). The third vertex is on the x-axis to the right of
the origin. Name the coordinates of the third vertex.
The third coordinate of the equilateral triangle is [tex](\sqrt3a,0)[/tex]. Ir can be obtained by distance formula.
What is distance formula?
It gives the distance between two coordinates.
Distance formula is given by the following expression:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Consider the third cordinate is (x,0) and x is positive because it is on tight side on the x axis.
Now, since the triangle is equilateral hence, the distance of (x,0) from (0, -a) and (0, a) should be equal to distance between (0, -a) and (0, a).
Now, caculate the distance between (0,-a) and (0, a).[tex]\sqrt{(0-0)^2+(-a-a)^2}=2a[/tex]
Now, distance between (x,0) and (0, a) should be 2a.
[tex]\sqrt{(x-0)^2+(0-a)^2}=2a\\\sqrt{x^2+a^2}=2a[/tex]
Now, square on both the sides.
[tex]x^2+a^2=4a^2\\x^2=3a^2\\x=\sqrt3a[/tex]and [tex]-\sqrt3a[/tex]
But the negative value of x is not possible because the coordinate lies on the right side.
Hence, the third coordinate of equilateral triangle is [tex](\sqrt3a,0)[/tex].
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trying to find the logarithm
The expression of logarithm will be -In4 x k .
Given,
In the question:
The expression of the logarithms is:
In[tex](\frac{1}{4^k} )[/tex]
To solve the above expression:
Now, According to the question:
In([tex]\frac{1}{4^k}[/tex])
Apply laws of logarithm to simplify the expression
-In[tex]4^k[/tex]
Express the logarithm of a power of an expression as the power times the logarithm of the expression
-k x In4
Multiply the monomials :
-In 4 x k
Hence, The expression of logarithm will be -In4 x k .
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You are a new loan officer with Alpha Mortgage, and the manager of the loan department has just presented a problem to you. He is unable to complete the APR calculation on an adjustable rate mortgage that a borrower applied for yesterday. The loan features initial payments based on a 5 percent rate of interest at loan closing. The current composite rate on the loan is 7 percent. Two discount points have been paid by the borrower. Any difference between borrower payments and the interest payment required at the composite rate will be accrued in the mortgage balance in the form of negative amortization. The mortgage amount desired by the borrower is $74,500 for a 30-year term.
Required:
Determine the APR, assuming that the ARM is made with a 2 percent annual and 5 percent over-the-life interest rate cap. (Do not round intermediate calculations.)
Answer:
Step-by-step explanation:
Apr is 248 the customer has to pay 248 dollars every month for 30 years he has to pay 7,440 dollars to the bank or he will lose the house.
7 (4-x)=84
74-x)7=84/7
4-x-12
4-x-4=-12-4
-x=-16
-x/=1=-16/-1
=16
Answer Is=16 How do I Check my answer??
Answer:
x = - 8
Step-by-step explanation:
7(4 - x) = 84 ( divide both sides by 7 )
4 - x = 12 ( subtract 4 from both sides )
- x = 8 ( multiply both sides by - 1 )
x = - 8
As a check
substitute x = - 8 into the left side of the equation and if equal to the right side then it is the solution.
7(4 - (- 8) )
= 7(4 + 8)
= 7(12)
= 84 = right side
Then x = - 8 is the solution to the equation
Find the equation of a line that passes through the point (2,-4) and has a gradient of -5. Leave your answer in the form y = m x + c
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 5}(x-\stackrel{x_1}{2}) \implies y +4= -5 (x -2) \\\\\\ y+4=-5x+10\implies {\Large \begin{array}{llll} y=-5x+6 \end{array}}[/tex]
Can you please help me
What is the solution to -1-7?
H
+
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
0-8
O-6
06
08
Answer:
Please be more specific
Step-by-step explanation:
Suppose you want to have $500,000 for retirement in 35 years. Your account earns 4% interest. How much would you need to deposit in the account each month?
The answer, the money needs to be deposited each month is $557.47.
What is simple interest?
A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,
The future money plan to have 500000
Retirement in 35 years.
The interest 4%.
number of time periods = 35 years * 12 months per year = 420
interest will be .4166666667% per month
The formula = [tex]p(\frac{(1+r/n)^{r/n} -1 }{\frac{r}{n} } )[/tex]
⇒500000*(.014/12) = d(3.98-1)
⇒d = 1666.7/2.98 = 557.47
Hence the money needs to be deposited each month is $557.47
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Which has greatest rate help please
The last function having the greatest rate of change.
What is rate of change?
The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of change is calculated by dividing the amount of change in one item by the equal amount of change in another.
Consider the first function,
From this function we get two points (2, 1) and (-2, -1).
To find rate using this points.
Rate = [tex]\frac{y_2-y_1}{x_2-x_1} = \frac{-1-1}{-2-2} = \frac{-2}{-4}=\frac{2}{4} =\frac{1}{2}[/tex]
Consider the second function,
The second function is a vertical line of x = -3.
Since the rate of vertical line is undefined.
Consider the third function,
The third function is a horizontal line y = 4.
Since two points having the same y - value.
Hence, the rate is zero.
Consider, the last function,
From last function we get two points (1, 5) and (-3, -3).
So,
Rate = [tex]\frac{-3-5}{-3-1} = \frac{-8}{-4} = \frac{8}{4} = 2[/tex]
Hence, the last function having the greatest rate.
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29. Find x and the dimensions of the rectangle below.
A = 126 ft²
x+2
x-3
The x value is 12, length is 14 feet and breath is 9 feet when the area of rectangle is 126 square feet.
Given that,
The rectangle has a surface area of 126 square feet.
The length is x+2 and the breath is x-3.
We have to find the x value, length and breath.
We know that,
The area of the rectangle is length × breath.
126=(x+2)(x-3)
126= x²-3x+2x-6
126= x²-x-6
x²-x-6-126=0
x²-x-132=0
x²-12x+11x-132=0
x(x-12)+11(x-12)=0
(x-12)(x+11)=0
x-12=0 or x+11=0
x=12 or x=-11
We take the x as positive so its 12.
Length is x+2=12+2=14
Breath is x-3=12-3=9
Therefore, The x value is 12, length is 14 feet and breath is 9 feet when the area of rectangle is 126 square feet.
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