Answer:
the answer is A
that is 828263
shonda went for a drive in her new car. She drove for 147.5 miles at a speed of 59 miles per hour. For how many hours did she drive?
Answer:
2.5
Step-by-step explanation:
By Using s = d/ t
So t = d / s
t = 147.5 / 59= 2.51 fluid oz = ______
please answer asap
If f(x) = 2ax + b/x-1, lim x→0 f(x) = -3, lim x→∞ f(x)=4, prove that: f(2)= 11.
If
[tex]f(x) = \dfrac{2ax+b}{x-1}[/tex]
Note that
[tex]f(2) = \dfrac{4a+b}{2-1} = 4a+b[/tex]
From the given information we have
[tex]\displaystyle \lim_{x\to0} f(x) = \lim_{x\to0} \frac{2ax+b}{x-1} = \frac{0+b}{0-1} = -b = -3 \\\\ ~~~~ \implies b=3[/tex]
and
[tex]\displaystyle \lim_{x\to\infty} f(x) = \lim_{x\to\infty} \frac{2ax+b}{x-1} = \lim_{x\to\infty} \frac{2a+\frac bx}{1-\frac1x} = \frac{2a+0}{1-0} = 2a = 4 \\\\ ~~~~ \implies a=2[/tex]
It follows that
[tex]f(2) = 4\cdot2+3 = 11[/tex]
as required.
fx(7)(87x+7y)(5)⁴is equal to the root of?
Sandra bought 4 bars of chocolate and a packet of nuts for $11.50. If a bar of chocolate costs $0.50 less than a packet of nuts, find the cost of a packet of nuts
Answer:
A packet of nuts costs $2.70
Step-by-step explanation:
Let C represent the cost of a bar of chocolate and P represent the cost of a packet of nuts
4 bars of chocolate will cost $4C
1 packet of nuts costs $P
Total price Sandra paid is $11.50
This can be represented using
4C + P = 11.50 (1)
A bar of chocolate costs $0.50 less than a packet of nuts. So
P - C =0.50
-C + P = 0.50 (2)
Multiply eq (2) by 4 to get
-4C + 4P = 4 x 0.50
-4C + 4P = 2 (3)
Add equations (1) and (3) to eliminate the 4C term
4C + P - 4C + 4P = 11.50 + 2
P+4P = 13.50
5P = 13.50
Dividing by 5 on both sides
5P/5 = 13.50/5
P = 2.70
So a packet of nuts costs $2.70 (Answer)
To verify this is correct,
Use equation (2) to get
-C + P = 0.50
-C + 2.70 = 0.50
Add C to both sides
-C + 2.70 + C = 0.50 + C
2.70 = 0.50 + C
Subtract 0.50 from both sides
2.70-0.50 = 0.50 + C - 0.50
2.20 = C which is C= 2.20
Plug this value into equation (1)
4(2.20) + 2.70 = 8.80 + 2.70 = 11.50
So verified that answers are correct
Yard Professionals Inc. experienced the following events in Year 1, its first year of operation:
Performed services for $26,500 cash.
Purchased $7,200 of supplies on account.
A physical count on December 31, Year 1, found that there was $1,510 of supplies on hand.
Required
Based on this information alone:
Record the events under an accounting equation.
Prepare an income statement, balance sheet, and statement of cash flows for the Year 1 accounting period.
What is the balance in the Supplies account as of January 1, Year 2?
What is the balance in the Supplies Expense account as of January 1, Year 2?
1. Recording the events under an accounting equation is as follows:
Assets = Liabilities + Equity
Cash + Supplies Common Stock + Revenue - Expenses
1. $26,500 $26,500
2. $7,200 $7,200
3. (5,690) ($5,690)
Balance $26,500 $1,510 $7,200 $26,500 - $5,690
2. The preparation of the income statement, balance sheet, and statement of cash flows for the Year 1 accounting period is as follows:
Yard Professionals
Income StatementFor the Year 1 accounting period
Revenue $26,500
Supplies Expense (5,690)
Net income $20,810
Yard Professionals
Balance SheetYear 1 accounting period
Cash $26,500
Supplies $1,510
Total assets $28,010
Accounts Payable $7,200
Equity: Net income 20,810
Total liabilities + equity $28,010
Yard Professionals
Statement of Cash FlowsFor the Year 1 accounting period
Net income $20,810
Supplies (1,510)
Accounts Payable 7,200
Cash (Operations) $26,500
3. The balance in the Supplies account as of January 1, Year 2 is $1,510.
4. The balance in the Supplies Expenses account as of January 1, Year 2 is $5,690.
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Find the mystery number. It is a common multiple of 2,5 and 7. It has 3 digits. The sum of the digits is 10. The number is less than 500
The number is 280
In mathematics, Least Common Multiple is referred to by its entire name, whereas Highest Common Factor is its complete name. The L.C.M. defines the least number that is exactly divisible by two or more numbers, whereas the H.C.F. describes the biggest factor existing between any given pair of two or more numbers. LCM is also known as the Least Common Multiple (LCM), and HCF is also known as the Greatest Common Factor (GCF).
Two key techniques—the division method and the prime factorization approach—can be used to determine H.C.F. and L.C.M.
So we need to find the LCM of 2,5 and 7. Furthermore, we need to find multiply the LCM with a number which can make its sum of digits equal to 10.
LCM of 2,5 and 7 is 70
70 x 4 = 280
Sum of digits of 280 is 10, which is also less than 500
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X^2+7x=8 find the solutions
The value of x is 1 and -8.
To solve this problem we need to understand the concept of quadratic equation.
To solve Quadratic equation we need to understand the concept of equation which says the factor of the product of coefficient of [tex]x^{2}[/tex] and constant must on adding or substracting give the coefficient of x.
Here the equation is [tex]x^{2} +7x-8=0[/tex]
The product of coefficient is 8. The factors of 8 is 8 and 1 which gives 7 on substracting.
Now,
[tex]x^{2} +8x-x-8=0[/tex]
⇒[tex]x(x+8)-1(x+8)=0\\[/tex]
⇒[tex](x-1)(x+8)=0[/tex]
∴ x=1,-8.
So, the required values of x is 1 and -8.
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please help with this question the question is in the attached image
The coefficient matrix for the given system of equations is as follows:
[tex]\left[\begin{array}{ccc}2&-6&-1\\-10&9&5\\3&0&5\end{array}\right][/tex]
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The augmented matrix of a system is composed as follows:
The first column has the coefficients of x.The second column has the coefficients of y.The last column has the results, that is, the values of the other side of the equality.In standard notation, this system is given as follows:
2x - 6y = -1.-10x + 9y = 5.3x + 0y = 5.Hence the augmented matrix is given by:
[tex]\left[\begin{array}{ccc}2&-6&-1\\-10&9&5\\3&0&5\end{array}\right][/tex]
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I NEED HELP ASAP WITH THESE QUESTIONS
1. The sum of twice a number and 5
2. Twice the sum of a number and 5
3. The square of five more than a number
Answer:1.2x+5 2.2(x+5) 3.(x+5)^2
Step-by-step explanation:
A baby American bison weighs 20kg. A baby blue whale weighs 100 times as great as a baby American bison. how much does a baby blue whale weigh
a baby blue whale weigh= 2000 kg
Simple equation :
A linear equation that involves only one variable is known as a simple equation or a linear equation in one variable. For example, \(3x + 2 = 23,x = 7,2x + 6 = 3x – 4,\)etc., are simple equations.Let us assume a situation, in which you go to the market to buy mangoes in a supermarket. Your mother gave you Rs.100 and said that you can keep Rs.40 for buying chocolates and for the remaining amount, you need to buy mangoes. When you went to the market, you found out that the price of one kg of mangoes was Rs.12. So, the final question is how many mangoes you should buy, so that everyone is satisfied. Recall the concept of simple equations from previous classes and proceed. Let us assume that you have to purchase kg of mangoes, so the total amount of money that you will be spent on buying mangoes will be Rs.12x. Now, you have Rs.40 for yourself, so you have an equation:
12 x + 40 = 100
12x = 100 – 40
12x = 60
x = 60/12 = 5, This is the same equation as above. Now when you will solve this, you will get to know the value of 5kg of mangoes. It means that you can buy 5 kg mangoes and spend Rs.40 on buying chocolates
weigh: to measure how heavy something is, especially by using a machine (scales)
given :
A baby American bison weighs=20kg
The solution according to Question =
Let the weight of baby blue whale = b
the baby blue whale weighs =100(a baby American bison)
b=100(20)
b=2000 weigh
a baby blue whale weigh= 2000 kg
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Graph the line with slope -1 passing through the point (-1, -2).
Step-by-step explanation:
find point (-1,-2)
go down one
go to the right one
repeat
draw line with arrows at each end
done!
The length of a rectangle is 3m less than double the witch, and the area of the rectangle is 27m^2. Find the dimensions of the rectangle.
Answer:
the area of the rectangle is A=L•W
The length is 3m less than twice its width W: L+ 3m=2W...->, L=2W-3m
A=L-W
27m²=(2W-3m)-W
27m2=2w2-3m-W
2w2-3wm-27m2=0
....use quadratic formula -(-3m)+ (-3m)²-4-2-(-27m²)
W=
2-2
w=(3m± √9m²+216m²)
w=(3m+ √225m²)
W=(3m± 15m...you need only positive root because width cannot be negative
W= 3m+15m
4
W=. 4
18m
W=4.5m ......now find the L
L=2.4.5m-3m
L=9m-3m
L=6m
Answer:
W = 4.5cm
L = 6cm
Step-by-step explanation:
The area of a certain desert (Desert 1) is eight times the area of another desert (Desert 2). If the sum of their areas is
27,000,000 square miles, find the area of each desert.
What is the area of Desert 1?
Answer:
1687500
Step-by-step explanation:
If their sum is 27,000,000 then their are millions of ways to find this answer. like one can be 13500000. But that answer is obviously incorrect. If you divide that by 8, your answer will be 1687500.
R,S,Q and P are midpoints of OC, Cb, BA and OA OR=a CS=b and OP=c show that RS is parallel to PQ PLS HELP
A rectangle has a perimeter of 50 feet. The length is 5 feet more than the width. Find the width and length of the rectangle.
The width of the rectangle = 10 ft
The length of the rectangle = 15 ft.
What is the Perimeter of a Rectangle?The formula for the perimeter of a rectangle is given as:
Perimeter = 2(length + width).
Let x represent the width of the rectangle
Width of the rectangle = x
Length of the rectangle = x + 5
Perimeter of the rectangle = 50 ft
Thus, we would have the following equation:
2(x + 5 + x) = 50
2(2x + 5) = 50
4x + 10 = 50
4x = 50 - 10
4x = 40
4x/4 = 40/4
x = 10
Width of the rectangle = x = 10 ft
Length of the rectangle = x + 5 = 10 + 5 = 15 ft.
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IV. Are these ratios equivalent? 12 birds to 60 animals 17 birds to 85 animals Yes No
Answer:
True
Step-by-step explanation:
Both fractions simplify to 1/5 and thus are equivalent
Ride tickets at the fair can be bought in
packs of 5 tickets for $8.75 or 3 tickets for
$6.25. Simone wants to buy 15 tickets. At
these rates, how much more will she spend
if she only buys packs of 3 tickets?
She will spend 5 dollars extra if she only buys packs of 3 tickets.
What is a numerical expression?A numerical expression is written in form of numbers and their operations.
According to the given question we can buy 15 tickets in two ways either buying 5 packs which contain 3 tickets and cost 6.25 dollars each pack or we can buy 3 packs which contain 5 tickets which costs 8.75 dollars.
For the first case if we buy 5 packs of tickets that contain 3 tickets it will cost (5×6.25) dollars = 31.25 dollars.
In the second case buying 3 packs of tickets that contain 5 tickets that will cost us (3×8.75) = 26.25 dollars.
∴ She will spend (31.25 - 26.25) = 5 dollars she will spend extra if she only buys packs of 3 tickets.
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One person earns $58,000 per year. Another person earns $3450 per month.
How much more does the first person earn in a year than the second?
The first person earns $ more than the second person in one year.
Answer:
There are 12 months per year so:
58000 - 12(3450) = $________ more
Just plug into calculator or otherwise
work the arithmetic.
Hope this helps.
Two planes, which are 2940 miles apart, fly toward each other. Their speeds differ by 35mph. If they pass each other in 4 hours, what is the speed of each?
Answer:
385 mph350 mphStep-by-step explanation:
You want the individual speeds of airplanes that close the 2940 mile distance between them in 4 hours, and have a speed difference of 35 mph.
SetupThe closing speed is found using the relation ...
speed = distance/time
It is ...
(2940 mi)/(4 h) = 735 mi/h
If x represents the speed of the slower plane, then (x+35) is the speed of the faster one. The sum of their speeds is the closing speed:
x +(x +35) = 735
SolutionSimplifying, we have ...
2x +35 = 735
2x = 700 . . . . . . subtract 35
x = 350 . . . . . . . divide by 2
x+35 = 385 . . . . speed of the faster plane
The speeds of the planes are 350 mph and 385 mph.
How can you recognize when two integers are opposite numbers? Opposite numbers are always to the right of zero on the number line. Opposite numbers are always to the right of zero on the number line. Opposite numbers are the same distance from zero on both sides of the number line. Opposite numbers are the same distance from zero on both sides of the number line. Opposite numbers have one even number and one odd number. Opposite numbers have one even number and one odd number. Opposite numbers are always negative.
One can recognize when two integers are opposite numbers as C. Opposite numbers are the same distance from zero on both sides of the number line.
How to illustrate the information?It should be noted that opposite numbers are given as being 0 when added.
For example, the addition of 3 and -3 will be equal to 0.
Therefore, one can recognize when two integers are opposite numbers as Opposite numbers are the same distance from zero on both sides of the number line.
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Translate this phrase into an algebraic expression.
The sum of 17 and twice Matt's score
Use the variable m to represent Matt's score.
Answer:
17 + 2 x m
Step-by-step explanation:
sum is to add and twice is to multiply by 2
I need help with math ngl
Answer:
Oldest to newest:
10^-35, 10 ^-10, 0
Step-by-step explanation:
Scientific notation
To figure out the power of 10 think "how many places do I move the decimal point?"
When the number is 10 or greater the decimal point moves to the left, and the power of 10 is positive.
When the number is smaller than 1 the decimal point moves to the right, so the power of 10 is negative.
Find the slope of (8,9) and (23,9)
Step-by-step explanation:
you mean the slope of the line between (8, 9) and (23, 9).
we can see that right away, as the y value does not change. it means it is a flat line, and that means the slope is 0.
now, formally :
the slope of a line is (y coordinate change / x coordinate change) when going from one point on the line to another.
the direction does not matter, but once we pick one for the comparison of one coordinate, we have to use the same direction also for the other.
I prefer to go from left to right.
so, from (8, 9) to (23, 9).
x changes by +15 (from 8 to 23).
y changes by 0 (from 9 to 9).
the slope is therefore 0/+15 = 0.
a 3 gallon bottle of bleach costs 15.84. what is the price per cup?
Answer: $0.33 per cup
Step-by-step explanation:
15.84/3 to find the price per 1 gallon.
15.84/3 = 5.28 per gallon
There are 16 cups in a gallon, so divide the price of a single gallon by 16.
5.28/16 = price per cup
5.28/16 = .33
The price for each cup of bleach is $0.33.
How much will each person get if 5 people share 1/3 a pond of candy
[tex]\stackrel{\textit{lbs of candy}}{\cfrac{1}{3}}\div \stackrel{people}{5}\implies \cfrac{1}{3}\div\cfrac{5}{1}\implies \cfrac{1}{3}\cdot \cfrac{1}{5}\implies \stackrel{\textit{lbs of candy}}{\cfrac{1}{15}}[/tex]
Part 2 of 2
You invested $15,000 in two accounts paying 4% and 7% annual interest, respectively. If the total interest earned for
the year was $960, how much was invested at each rate?
$3000 and $12000
If you know the principal amount, the rate of interest, and the time periods, you can use the simple interest formula to calculate the interest.
The following is a simple interest formula:
SI = P *R * T /100
Where SI = simple interest
Principal (P)
interest rate, or R (in percentage)
T is the time period (in years)
The following formula is used to determine the overall sum:
Sum (A) = Principal (P) + Interest (I)
Where,
The entire amount repaid at the conclusion of the borrowing period is indicated by the letter (A).
You can also write the total amount formula for simple interest as follows:
A = P(1 + RT)
X+Y = $15000
0.04x + 0.07y = 960
0.04x + 0.07 ( 15000 - x) = 960
0.04x + 1050 - 0.07x = 960
0.03x = 90
x = $3000
y= $12000
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solve for x. 2/2+x=1/x+5
Answer:
Step-by-step explanation:
its 8 duh jk its your mom XD
Four thousand five hundred eleven ten-thousandths in standard decimal form?
You invested $27,000 in two accounts paying 4% and 7% annual interest, respectively. If the total interest earned for the year was $1440 how much was invested at each rate?
a = amount invested at 4%.
b = amount invested at 7%.
we know that whatever "a" and "b" may be, they total 27000, so we can say that a + b = 27000, likewise we can say that b = 27000 - a.
how much will it be for 4% of "a"? well, that's just (4/100) * a, or 0.04a.
how much will it be for 7% of "b"? well, that's just (7/100) * a, or 0.07b.
we also know that the earned interest by those two interest amounts is 1440, so
[tex]\begin{cases} a + b = 27000\\ b = 27000 - a \end{cases}\hspace{5em}0.04a~~ + ~~0.07b~~ = ~~1440 \\\\\\ \stackrel{\textit{substituting "b"}}{0.04a~~ + ~~0.07(27000-a)~~ = ~~1440}\implies 0.04a+1890-0.07a=1440 \\\\\\ 1890-0.03a=1440\implies -0.03a=-450\implies a=\cfrac{-450}{-0.03} \\\\\\ 15000=\textit{\LARGE a}\hspace{15em}\stackrel{27000~~ - ~~15000}{\textit{\LARGE b}=12000}[/tex]