The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.
Answer:
The length and width of the rectangle are 20 feet and 31.25 feet, respectively.
Step-by-step explanation:
Let the scale be [tex]4\,in\,:\,5\,ft[/tex] and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale ([tex]r[/tex]), measured in inches per feet, is equivalent to the following rational number:
[tex]r = \frac{4\,in}{5\,ft}[/tex]
We can convert each length by dividing it by scale factor. That is:
Length
[tex]l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }[/tex]
[tex]l' = 20\,ft[/tex]
Width
[tex]w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }[/tex]
[tex]w' = 31.25\,ft[/tex]
The length and width of the rectangle are 20 feet and 31.25 feet, respectively.
:
(2x – Зу = 18
(2x + y = 2
Answer:
2x = 2 × 12 = 24 24 =2x 24-6=18
3y = 3 × 2 = 6 6 =3y
2x = 2×1 = 2 2 =2x 2+0=2
y = 0 0 = y
Step-by-step explanation:
I'm not sure how the question is mentioned in the test but from my point of view I got this not sure how the it is explained in your nest im only 11 so yeh. sos if its wrong
Answer:
y = -4
x = 3
Step-by-step explanation:
I will be using the elimination method to solve this:
Begin by times -1 to the bottom equation.
[tex]2x-3y=18[/tex]
[tex]-2x-y=-2[/tex]
Add them together
[tex]0x-4y=16[/tex]
ignore the 0x and divide -4 to both sides
[tex]\frac{-4y}{-4} =\frac{16}{-4}[/tex]
y = -4
Plug y back into one of the two original equations
[tex]2x-3(-4)=18[/tex]
multiply -3 and -4 to get +12
[tex]2x+12=18[/tex]
subtract 12 to both sides
[tex]2x=6[/tex]
divide by 2 to both sides
x = 3
9x + Зу = 9
X and y intercept
Answer:
x intercept: (1,0)
y intercept: (0,3)
Step-by-step explanation: Substitute variables for 0 and solve
Answer:
y-intercept: 3
x-intercept: 1
Step-by-step explanation:
To find x-intercept:
1. make y equal to 0, leaving 9x=9
2. divide both sides by 9
3. x=1
To find y-intercept:
1. make x equal to 0, leaving 3y=9
2. divide both sides by 3
3. y=3
Hope this helps!
A racecar driver completes a race 30 laps in 15 minutes at a constant speed. what is the driver's speed?
Answer:
200 mph/321 km/h if the track is 1 mile long and 100 mph/160 km/h if the track is 2 miles long
Step-by-step explanation:
One hundred grams of radium are stored in a container. The amount RR (in grams) of radium present after tt years can be modeled by R=100e−0.00043tR=100e−0.00043t. After how many years will only 5 grams of radium be present? Round your answer to the nearest whole year.
Answer:
6967 years
Step-by-step explanation:
Given the exponential function :
R=100e−0.00043t
Time = t in years
R = final amount
Number of years in which only 5 grams of radium will be present :
R = 5
Plugging into our formula :
5 = 100 * e^−0.00043t
5 / 100 = e^−0.00043t
0.05 = e^−0.00043t
Take the In of both sides
−2.995732 = - 0.00043t
t = −2.995732 / - 0.00043t
t = 6966.819
t = 6966.819 years
t = about 6967 years
Consider the graph of f(x) below. The graph contains the points (0, 1) and (5, 4).
Write the equation of f(x), and classify the function as linear, quadratic, cubic, exponential, power, or logarithmic.
Answer:
f(x)=x+3
Step-by-step explanation:
hope this helps
Just a simple question (that I can't even answer)
Answer:
53
Step-by-step explanation:
Hope this help you...but if it's not,im so sorry
Answer:
53
Step-by-step explanation:
How many grams are there in 2 ounces?
Answer:
Step-by-step explanation:
1 ounce = 28.3 gm
2 ounce =x
x =2*28.3
x = 56.6 gm
Clayton picks an integer (from 1 to 20) at random. Which event has a probability that is closest to 0? picking a number greater than 6 picking a number less than 12 picking an even number picking a prime number
Answer:
picking a prime number
Step-by-step explanation:
from 1 - 20 : 20
>6 : 15
<12 : 11
even number: 10
Prime: (2,3,5,7,11,13,17,19) 8
7.1 divided by 312.755
answer 0.0227014756
Step-by-step explanation:
or if you meant 312.775/7.1 it's 44.0528169
PLZ HELP!!!!!!!!!!Brainleist
Answer:
Sorry if I'm wrong
Step-by-step explanation:
Polynomials: algebraic expressions that contain any number of terms combined by using addition or subtraction.
Non-polynomials: no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.
option D: 8 square root 3 cm
pls help
thanks
Answer:
is b
Step-by-step explanation:
Need Help Due Tomorrow
MUST SHOW WORK!
don’t bother answering if not going to show work
Step-by-step explanation:
If D8=127
Therefore D4 =D8 (because corrosponding angles (forming 'F')
Therefore, the D4=D1(because vertically opposite angle)
There fore D4+D1
i. e 127+127 =254
The option (A) is the correct one
PLZZ GIVE ME BRAINLIEST TAG
THANK YOU........
What are the points Please ASAP
Answer:
(0,1)
(0,-3)
(-2.5.-3)
Step-by-step explanation:
pls give me brainliest
:)
which of the following expression is equivalent to the expression below 2(7x + 3)
1. 9x +3
2. 14x +6
3. 9x -6
4. 14x - 3
Answer:
14x+6
Step-by-step explanation:
Multiply 7x by 2 which gets you 14x and multiply 3 by 2 which is 6.
For the expression 6 + y - 3, determine the coefficient for the variable term.
A -3 B 0 C 1 D 6
Explanation:
Think of 6 + y - 3 as 6 + 1y - 3
y and 1y are the same thing because 1 times any number is that same number.
The coefficient is the number to the left of the variable, so the coefficient is 1.
Miguel is reading a 338-page book. In the first 40 minutes he spends reading, he reads 52 pages. If he continues reading at the same rate, how many minutes will it take him to read the entire book?
Answer: 260 minutes.
Step-by-step explanation:
This represents the ratio between the minutes he reads and the pages he reads: 40 : 52
The book Miguel is reading is 338 pages long. Miguel also reads 52 pages in 40 minutes. You can divide 338 by 52, which is equal to 6.5.
If it takes Miguel 40 minutes to read 52 pages, then we can multiply that by 6.5. 40 x 6.5 = 260.
In conclusion, it will take Miguel 260 minutes to read the entire book, or 4 hours and 20 minutes.
Answer:
260 minutes
Step-by-step explanation:
40:52
x:338
338*40=52x
13,520/52
260:338
Given the functions f(x) = x ^ 3, g(x) = 9 and h(x) = 2x , what is an expression equivalant to f(2x) + 3g(x)/h(x) + 3?
Answer:
an expression equivalent to f(2x) + [tex]3\frac{g(x)}{h(x)}[/tex] + 3 = 8x³ + [tex]\frac{27}{2}x[/tex] + 3
Step-by-step explanation:
As given ,
f(x) = x³ , g(x) = 9 , h(x) = 2x
Now,
f(2x) = (2x)³ = 2³.x³ = 8x³
⇒f(2x) = 8x³
Now,
[tex]\frac{g(x)}{h(x)} = \frac{9}{2x} = \frac{9}{2}x[/tex]
⇒[tex]3\frac{g(x)}{h(x)} = 3.\frac{9}{2}x = \frac{27}{2}x[/tex]
∴ we get
f(2x) + [tex]3\frac{g(x)}{h(x)}[/tex] + 3 = 8x³ + [tex]\frac{27}{2}x[/tex] + 3
Please help me with this ASAP
The binary value of the ASCII letter "c" is 0110 0011. Using the handy chart that we learned in the lesson, convert this number to its decimal value. You'll need to use some math for this question 128,64,32,16,8,4,2
Answer:
Decimal value is 99
Step-by-step explanation:
To convert 01100011 to decimal, we use the zero index method by counting from the last digit
0 = 7
1 = 6
1 = 5
0 = 4
0 = 3
0 = 2
1 = 1
1 = 0
Then we proceed by multiplying the binary digits by 2 and raising them to the power of their zero-index equivalent
(0*2^7) + (1*2^6) + (1*2^5) + (0*2^4) + (0*2^3) + (0*2^2) + (1*2^1) + (1*2^0)
=(0*128) + (1*64) + (1*32) + (0*16) + (0*8) + (0*4) + (1*2) + (1*1)
=0 + 64 + 32 + 0 + 0 + 0 + 2 + 1
= 64 + 32 +3
=99
I need the x and y value
I did it and I got 26 got both, but I’m not sure.
Answer:
x=26
y=116
Step-by-step explanation:
Answer:
Step-by-step explanation:
x8 y5
What is the probability that the dart will hit a spot in the shaded square
Answer:
B: 1/6
Step-by-step explanation:
3 divided by 18 = 3 x 1/18 = 3/18 = 1/6 (simplified)
Sandy took a boat ride down the Guadalupe River. The boat averaged 18 miles per hour. If the trip took 4 1/2 hour, how far down the river did Sandy ride?
Answer:
81 miles
Step-by-step explanation:
18x4=72 and then you have to add the 1/2 and 1/2 of 18 is 9 so you add 72+9=81 to get the answer. Hope this helps! <3
I really neeed help plssss
Answer:
6
Step-by-step explanation:
270/45=6
Answer:
1 minute = 6 calories burned
Step-by-step explanation:
270 ÷ 45 = 6
Help i dont know the answer
Answer:
25
Step-by-step explanation:
In her first 5 days, she reads 80 pages. That means that per day, she reads 16 pages. Then, she had 400 pages left, since 480-80 = 400.
So, you divide 400/16 = 25 days.
PLEASE ANSWER NOW FOR A TEST
Triangle ABC is similar to triangle TNW. Side BC corresponds to side NW. The perimeter of triangle ABC = 13.46. What it the perimeter of triangle TNW? A. 3.365
B. 4.24
C. 10.28
D.13.46
You may use a calculator for this item.
To be a member at Salls gym, there is a one-time sign-up fee plus a monthly fee for each month of membership. The
table shows the total cost to be a member of the gym for different numbers of months.
Number of Months
3
Total Cost
$53.97
$77.94
$125.88
6
12
Create a function that gives the total cost, C. in dollars, to be a member of the gym given the number of months, m, of
membership
Enter your function in the space provided.
+
х
-
. 18
1
=
%
+ B
get rr
Answer:77.94
Step-by-step explanation:
subtract x^2 - 2x - 6 from -6x + 5
Answer:
x^2+4x-11
Step-by-step explanation:
x^2 - 2x - 6 - (-6x + 5)
x^2-2x-6 +6x - 5
x^2 +4x -11
YeS mOrE 9Th GrAdE mAtH (question for smart people)
Answer:
A. 4x+13
Step-by-step explanation:
distribute the 4
(4x+20) -7
4x+13
Answer:
A
Step-by-step explanation:
Write the equation of the line that passes through the points (0,7) and (-4, -9).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
y=4x+7
First we need to figure out the slope. We can do that using the equation (y2-y1)/(x2-x1). Substitute your numbers in for the xs and ys:
(-9-7)/(-4-0)=
-16/-4=
4
Now that we have the slope, we can figure out the intercept by using the equation y=mx+b and substituting one of the points in for x and y, the slope in for m, and solving for b.
I’m going to use (0,7) as it will be faster:
7=4(0)+b
7=0+b
7=b
The full equation will then be:
y=4x+7