Answer:
2/3 in
Step-by-step explanation:
We can use ratios to solve this problem.
1/4 inch x inches
-------------- = ---------------------
3 /8 ft 1 ft
Using cross products
1/4 * 1 = 3/8 * x
Multiply each side by 8/3 to isolate x
1/4 * 8/3 = 3/8*8/3 x
2/3 = x
the solution to -2(1 - 4x) = 3x + 8 is
Answer:
x=2
Step-by-step explanation:
-2(1 - 4x) = 3x + 8
The first step is to distribute the -2
-2*1 -2(-4x) = 3x+8
-2+8x = 3x+8
Subtract 3x from each side.
-2+8x-3x = 3x-3x+8
-2+5x=8
Add 2 to each side
-2+2 +5x=8+2
5x=10
Divide by 5
5x/5 = 10/5
x=2
For a new residential neighborhood, 25.08 acres of land will be split into 76 equal size lots. How many acres of land will each lot have?
i think it is 0.33...i could be wrong.
Answer:
.33 acre per lot
Step-by-step explanation:
We want to take 25.08 acres and divide them evenly into 76 lots
25.08 /76 = .33 acre per lot
what is the equation for x=-3 and y=-7
Answer:
-7 = -3x + b
Step-by-step explanation:
i'm guessing because you have not provided a visual so i can not determine the B.
Bugs bunny ran 270 meter course race in 3 seconds.How fast did he run?
Answer:
90 meters/second = rate
Step-by-step explanation:
To find out how fast he ran, we use the equation
distance = rate * time
We know the distance = 270 meters
and we know the time = 3 seconds
Substitute these values in
270 meters = rate * 3 seconds
Divide both sides by 3 seconds
270 meters / 3 seconds = rate
90 meters/second = rate
Answer:
Step-by-step explanation:
you want to find his speed so your going to divide the distance he ran by the amount of time which is 270/3 and the answer is 90
2 A boat costs $18,800 and decreases in value by 12% per year. How much will the boat be worth after 13 years?
[tex]\bf \qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &18800\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ t=\textit{elapsed time}\dotfill &13\\ \end{cases} \\\\\\ A=18800(1-0.12)^{13}\implies A=18800(0.88)^{13}\implies A\approx 3568.0636019[/tex]
the measure of the complement of an angle is 10 more than 3 times the measure of the angle.Find the measure of angle and it's complement.
Answer:
Step-by-step explanation:
The distance between the cities Chicago and Toronto is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 hours less to cover same distance than for the motorcycle. How long does it take them to meet, if they start moving towards each other simultaneously?
Answer:
Motorcycle will complete the 540 mile trip in 11.25 hr.
The car will complete it 2.25 hours less, or 9 hours.
The speed of the car therefore is 540/9 = 60 mph.
60t + 48t = 540
108t = 540
t = 5
So they will meet in 5 hours, after which time the motorcycle will have traveled 48*5 = 240 miles
and the car will have traveled 60*5 = 300 miles.
Hope this help
Step-by-step explanation:
what is the domain function y=^4sqrtx-1
Answer:
Domain of y=[tex]\sqrt[4]{x-1}[/tex]: is x>=1
Interval notation: [1,∞)
Step-by-step explanation:
We have y=[tex]\sqrt[4]{x-1}[/tex]
1) The domain of a function is the set of x values for which the function is real and defined.
2) So, x-1 should be positive means x-1>=0, because fourth root of any negative value would be a complex number and not a real number.
3) Now we solve the inequality x-1>=0
4) Adding 1 to both sides of the inequality we get,
x-1+1 > = 0+1
5) Cancel out -1 and +1 from the left side
6) We get x>=1
It concludes that for the domain of the given function, the x value must be greater than or equal to 1
If f (x) = square root of x + 12 g(x) = 2 square root x, what is the value of (f – g)(144)?
–84
–60
0
48
Answer:
0
Step-by-step explanation:
[tex]f(x)=\sqrt{x}+12 and g(x)=2\sqrt{x}[/tex]
We need to find (f-g)(144)
(f-g)(144) = f(144) - g(144)
[tex]f(x)=\sqrt{x}+12[/tex]
[tex]f(144)=\sqrt{144}+12=12+12= 24[/tex]
[tex]g(x)=2\sqrt{x}[/tex]
[tex]g(144)=2\sqrt{144}=2(12)= 24[/tex]
(f-g)(144) = f(144) - g(144)= 24-24=0
Answer:
o is correct answer
Step-by-step explanation:
f(x)=[tex]\sqrt{x}[/tex]+12
g(x)=2[tex]\sqrt{x}[/tex]
we will find
(f-g)x=[tex]\sqrt{x}[/tex]+12-2[tex]\sqrt{x}[/tex]
(f-g)x=-[tex]\sqrt{x}[/tex]+12
now we will find
(f-g)(144)
put x=144
(f-g)(144)=- [tex]\sqrt{144}[/tex]+12
(f-g)(144)=-12+12=0
hence proved
20,000 has been placed in a bank account that earns 5.7% interest. How much money will be in the account if it is compounded semi annually for 3 years
Answer:
$25 821.69
Step-by-step explanation:
The formula for the future value (FV) of an investment is
FV =PV(1 + r/n)^nt
FV = 20 000(1 + 0.087/2)^(2×3)
FV = 20 000(1 + 0.0435)⁶
FV = 20 000(1.0435)⁶
FV = 20 000 × 1.291 0847
FV = $25 821.69
Find two ratios equivalent to [tex]\frac{14}{21}[/tex]
Multiply the numerator and the denominator by the same number.
[tex]\frac{14}{21}[/tex] = [tex]\frac{14.2}{21.1}[/tex] = ?
Answer:
the answer will be 4/9
Step-by-step explanation:
Mr.King is creating an area for his flower garden in his yard. The length across the garden is 8 feet. If Mr.King splits his garden where 50% of the space is for tulips and the other 50% is for daisies,how much space will be filled with daisies? (Need photo of step by step if possible)
Answer:
2
Step-by-step explanation:
Final answer:
Assuming a square garden with each side being 8 feet, 50% of the space allocated to daisies would be 32 square feet.
Explanation:
Mr. King is dividing his garden evenly for tulips and daisies, meaning each flower type will occupy 50% of the garden's area. The length of the garden is given as 8 feet, but the width is not mentioned. To determine the actual area for daisies, we need both dimensions of the garden. However, if we assume that the width is also provided or the garden is square (8 feet by 8 feet), then the total area of the garden is 64 square feet (8 feet * 8 feet).
Now, to find the space filled with daisies, we calculate 50% of the total area:
0.50 * 64 square feet = 32 square feet.
Therefore, if the garden is a square and the other dimension equals the given length, the space filled with daisies will be 32 square feet.
solve 14ab²x³ over 2abx²
[tex]Use\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{14ab^2x^3}{2abx^2}=\dfrac{14}{2}\cdot\dfrac{a}{a}\cdot\dfrac{b^2}{b}\cdot\dfrac{x^3}{x^2}=7\cdot1\cdot b^{2-1}\cdot x^{3-2}=\boxed{7bx}[/tex]
Answer:
[tex]7bx[/tex]
Step-by-step explanation:
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{14}{2}=7 =\frac{7ab^2x^3}{abx^2}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:a =\frac{7b^2x^3}{bx^2}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:b =\frac{7bx^3}{x^2}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}\:=\:x^{a-b}[/tex][tex]\frac{x^3}{x^2}=x^{3-2}=x[/tex]
[tex]=7bx[/tex]
Hope this helps!!!
1.5x+0.75y what does x variable
Answer:
1.5
Step-by-step explanation:
What is the first step when solving this equation?
Answer:
Distribute
When you have an equation like this, distribute first and then add or subtract like terms to solve for x.
Hope this helps!!
Well, you need to find out what x is equal to, if anything.
The first step to completing it, from what I've learned, is to do the problem that is in parenthesis first.
Hope this helps, sorry if not-
Find the measure of the angle
Answer:
? = 113
Step-by-step explanation:
The angles are alternate interior angles. Alternate interior angles are equal if the lines are parallel. Since the lines are parallel, the angles are equal.
? = 113
please help me i need the answer asap
Answer:
0.8125
Step-by-step explanation:
See picture!
Find the solution of this system of equations -2x-4y=42 2x-8y=18
Answer:
(-11, -5)
Step-by-step explanation:
Use elimination
-2x-4y = 42
2x-8y = 18
-12y = 60
y = -5
Plug it back in
2x-8(-5) = 18
2x+40 = 18
2x = -22
x = -11
(-11, -5)
Answer:
(-11, -5)
Step-by-step explanation:
It's right
The amount still owed on a loan is called what ?
Final answer:
The amount still owed on a loan is called the principal, which is the original amount borrowed minus any repayments made toward it. Interest is charged on this amount, and loans are assets to banks which can be sold in the secondary loan market.
Explanation:
The amount still owed on a loan is referred to as the principal. When you make a payment on a loan, such as a credit card or a mortgage, part of it covers the principal, which is the original amount borrowed, and the rest goes toward paying off interest. Interest is the charge for borrowing the money and is calculated based on the remaining balance of the loan. When a borrower takes out a mortgage loan, for instance, they will repay both the principal and interest over the term of the loan, which often spans many years, such as in a 30-year mortgage.
Banks consider loans as assets because they are legally binding agreements where the borrower must make payments over time. In the banking industry, the value of a loan can also be determined by what another party is willing to pay for it in the secondary loan market, where loans are bought and sold between financial institutions after being originated in the primary loan market.
An example of this can be seen when a borrower owes more on their mortgage than the actual market value of the property, resulting in negative equity. However, as the loan is paid down, the equity typically increases, which is the value of the property minus the remaining loan balance.
Which word best describes the slope of the line?
A) horizontal
B) negative
C) positive
D) undefined
Answer:
B
Step-by-step explanation:
• A line sloping upwards from left to right has a positive slope
• A line sloping downwards from left to right has a negative slope
The line shown here slopes downwards from left to right, hence has a negative slope → B
1 & 1/3 * 5/8 please help me get the answer
Find the equations of the tangents to the curve x = 9t2 + 6, y = 6t3 + 3 that pass through the point (15, 9).
Final Answer:
The equations of the tangents to the curve[tex]\(x = 9t^2 + 6, y = 6t^3 + 3\)[/tex]that pass through the point (15, 9) are [tex]\(y = 2x - 21\)[/tex] and[tex]\(y = -2x + 51\).[/tex]
Explanation:
To find the equations of the tangents, we first substitute (x = 15) and (y = 9) into the parametric equations[tex]\(x = 9t^2 + 6\)[/tex] and [tex]\(y = 6t^3 + 3\)[/tex]. Solving for (t), we get (t = 1) and (t = -1). These values of (t) correspond to the points of tangency.
Next, we find the slopes of the tangents by taking the derivatives of (x) and (y) with respect to (t), resulting in (dx/dt = 18t) and (dy/dt = 18[tex]t^2[/tex]). At (t = 1), the slope is (18), and at (t = -1), the slope is (-18).
Using the point-slope form of a linear equation [tex]\(y - y_1 = m(x - x_1)\)[/tex], where (m) is the slope and [tex]\((x_1, y_1)\)[/tex] is the point of tangency, we obtain the equations of the tangents: (y - 9 = 18(x - 15)) and (y - 9 = -18(x - 15)). Simplifying these expressions yields (y = 2x - 21) and (y = -2x + 51).
a)Estimate 49% of 162. b) Use mental math to calculate 49% of 162. plz help i need to know fast
Answer:
(a)
Given expression: 49% of 162
we can write 49% as [tex]\frac{49}{100}[/tex]
then;
[tex]\frac{49}{100} \times 162 = \frac{49 \times 162}{100} = \frac{7938}{100}=79.38[/tex]
Therefore, the estimate of the given expression is, 79.38.
(b)
Using mental math to calculate 49% of 162.
Mental math is used as a way to calculate an estimate quickly.
We can write 49% = 50% -1%
(50%-1%) of 162 = 50% of 162 -1% of 162
so,
50% of 162 = [tex]\frac{50}{100} \times 162 = \frac{1}{2} \times 162 = 81[/tex]
and
1% of 162 = [tex]\frac{1}{100} \times 162 = \frac{162}{100} = 1.62[/tex]
Now, subtract these we get;
81 - 1.62 = 79.38
Therefore, by using mental math 49% of 162 is, 79.38
find the value of 'X' also please explain causes I'm confused.
Since the two lines are parallel and they are both being bisected by the same line, then the resulting bisected angles are the same.
To solve for x you will set 2x - 3 = 135, since both angle measures are the same.
2x - 3 = 135
2x = 138
x = 69
Each flyer costs $0.25. Our budget is $555. It will cost $115 for other supplies. How much money do we have to spend on flyers?
Answer:
We have $440 to spend on fliers
Step-by-step explanation:
Budget = supplies + fliers
555 = 115 + fliers
Subtract 115 from each side
555-115 = 115-115 + fliers
440 = fliers
We have $440 to spend on fliers
I need the answer ASAP
Answer:
16
Step-by-step explanation:
Since Dean bought 8 postcards during 2 days of vacation, then after 4 days, that would be 16 because multiply by 2.
Answer:
16 postcards
Step-by-step explanation:
So Dean's rate of buying is:
8 postcards/2 days = 4 postcards per day.
Thus, we can find out how many postcards he gets after 4 days by multiplying
4 postcards × 4 days, which equals to 16 postcards.
Hope this is helpful!
Joe's gas tank is 14 full. After he buys 6 gallons of gas, it is 58 full. How many gallons can Joe's tank hold?
Answer:
7.3 repeating
Step-by-step explanation:
58-14
=44
44/6
=7.3 repeating
Answer:
Amount of gas that can be hold by Joe's tank = 16 gallons.
Step-by-step explanation:
Given that Joe's gas tank is 1/4 full. After he buys 6 gallons of gas, it is 5/8 full. Now we need to find about how many gallons can Joe's tank hold.
So let's find change that happened after filling the gas.
Change = (5/8 full) - (1/4 full)
Change = (5/8 - 1/4) full
Change = (5/8 - 2/8) full
Change = (5 - 2)/8 full
Change = 3/8 full
So that means 3/8 full happens in 6 gallons
then 1 full will happen in 6/(3/8) gallons = 6*(8/3) gallons = 48/3 gallons = 16 gallons
So the amount of gas that can be hold by Joe's tank = 16 gallons.
the lopez family spent 22.10 on drinks for their annual picnic the cost of each drink was $0.85 if each person received 1 drink how many people attended the picnic
Answer:
26.
Step-by-step explanation:
You just have to do 22.10 ÷ 0.85.
Final answer:
By dividing the total cost spent on drinks by the cost of each drink ($22.10 ÷ $0.85), we find that 26 people attended the Lopez family picnic.
Explanation:
To determine how many people attended the Lopez family picnic, we need to divide the total cost spent on drinks by the cost of each drink. Since the Lopez family spent $22.10 on drinks and each drink cost $0.85, we perform the following calculation:
Total cost spent on drinks ÷ Cost of each drink = Number of people
$22.10 ÷ $0.85 = 26 people
Therefore, 26 people attended the Lopez family picnic.
what is the answer to 89 divided by 40,731
Answer: 457.65
Step-by-step explanation:
40,731 / 89 = 457.65
Have a good day :)
The answer to the division of 89 by 40,731 is approximately 0.00218468. This number is so small because you are dividing a small number by a significantly larger one.
Explanation:The question is asking for the division of 89 by 40,731. In this case, you have to divide the two numbers. Using a calculator, 89 divided into 40,731 yields a very small number, approximately 0.00218468. This is a very small number because you are dividing a smaller number by a significantly larger one.
To better conceptualize this, consider making a pie with 40,731 pieces, and you only took 89 pieces. The proportion you took (or the answer to 89 divided by 40,731) would be very small, just like the number 0.00218468.
Learn more about Division here:https://brainly.com/question/2273245
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A doctor takes a sample of Laura’s blood. There are 4.5*10^6 red blood cellsand 5000 white blood cells. How many times more red blood cells are there than white in the sample? (Answer in scientific notations)
Number of red blood cells = [tex]4.5*10^{6}[/tex]
Number of white blood cells = 5000 or we can write this as [tex]5*10^{3}[/tex]
We have to find how many times more red blood cells are there than white in the sample. so we will divide the two to get the answer.
[tex]\frac{4.5*10^{6}}{5*10^{3}}[/tex]
= [tex]0.9*10^{3}[/tex]
= [tex]9*10^{2}[/tex] = 9*10*10 = 900
Hence, the red blood cells are 900 times more than white blood cells.
Answer:
Red blood cells are 900 times of white blood cells in the blood sample of Laura.
Step-by-step explanation:
Sample of Laura's blood sample contains number of red plus cells = 4.5[tex]10^{6}[/tex] and number of white blood cells = 5×[tex]10^{3}[/tex]
Now we calculate the ratio of red blood cells and white blood cells
= 4.5×[tex]10^{6}[/tex]÷5[tex]10^{3}[/tex]
= 4.5×[tex]10^{3}[/tex]÷5
= 4500÷5
=900
Now scientific representation of data will be
Test Result Range
White Blood Cells 5×[tex]10^{3}[/tex]per [tex]mm^{3}[/tex] 5-10
Red Blood Cells 4.5×[tex]10^{3}[/tex] per[tex]mm^{3}[/tex] 4.2-6.11