Answer:
[tex]Model = 80cm[/tex]
Step-by-step explanation:
Given
[tex]Length = 19.2\ m[/tex]
[tex]Scale=1:24[/tex]
Required
Determine the scale measurement in centimeters
The scale can be represented as: [tex]Model : Actual[/tex]
[tex]Scale = Model : Actual[/tex]
Substitute 19.2 for Actual Length
[tex]Scale = Model : 19.2\ m[/tex]
Represent as a fraction
[tex]Scale = \frac{Model}{19.2m}[/tex] --- (1)
Recall that:
[tex]Scale=1:24[/tex]
Represent as a fraction
[tex]Scale = \frac{1}{24}[/tex] --- (2)
Equate (1) & (2)
[tex]\frac{Model}{19.2m} = \frac{1}{24}[/tex]
Multiply through by 19.2m
[tex]Model = \frac{1}{24} * 19.2m[/tex]
[tex]Model = \frac{ 19.2m}{24}[/tex]
Convert to centimeter
[tex]Model = \frac{ 19.2 * 100cm}{24}[/tex]
[tex]Model = \frac{ 1920cm}{24}[/tex]
[tex]Model = 80cm[/tex]
Hence, the length of the scale model is 80 cm
y = 4x + 7 at x = -2 ?
Answer:
-1=y
Step-by-step explanation:
If he saves $50 a week , about how many months will it take to have enough to buy the motorcycle
Answer:
Step-by-step explanation:
There is not enough info.
But you would take-
price of the motorcycle=50(x) x is the number of months. I can't give the exact amount without the price of the bike.
f(a)=63.1 and the average rate of change of f over the interval from x=a to x=a+176 is 0.111. What is the value of f(a+176)?
Answer:
f(a + 176) = 82.636
Step-by-step explanation:
Mathematically;
average rate of change over the internal x = a to b
will be ;
f(b) - f(a)/(b-a)
So with respect to this question, we have;
f(a + 176)-f(a)/(a+ 176) - a
We have;
0.111 = f(a + 176) - 63.1/(176)
176(0.111) = f(a + 176) - 63.1
f(a + 176) = 176(0.111) + 63.1
f(a + 176) = 19.536 + 63.1
f(a + 176) = 82.636
2x +8= 3x-4 what is x equal two
Answer:
x= 12
Step-by-step explanation:
Send answers I will check if correct
Could anybody help me please?
Without solving, identify if the equation will have a solution that is positive, negative, or zero.
A. Zero
B. Positive
C. Negative
Identify if the equation has
*one solution only
*infinite number of solutions
*one solution only
7(x-5)=x+13
A. Infinite number of solutions
B. No solutions
C. One solution only
Answer:
it is positive and it has 1 solution
Step-by-step explanation:
What is x and y, and how do you do this problem
Answer:
you got it correct no needed corrections
Step-by-step explanation:
I need help, the options are: Corresponding Angles, Vertical Angles, Alternate interior angles, linear pair, alternate exterior angles, and consecutive interior angles.
Answer:
✔️ <1 and <3 => Vertical angles
✔️<2 and <6 => alternate exterior angles
✔️<2 and <4 => corresponding angles
✔️<3 and <7 => alternate interior angles.
✔️<4 and <3 => consecutive interior angles.
✔️<7 and <6 => linear pair angles.
Step-by-step explanation:
✔️ <1 and <3 are opposite angles formed when two straight lines intersect. They both share the same vertex. Thus, they are vertical angles, which are congruent to each other.
<1 and <3 are vertical angles.
✔️<2 and <6 are alternate exterior angles.
<2 and <6 both lie outside the straight lines cut across by the transversal, and they also lie in the side of the transversal alternating each other
✔️<2 and <4 are corresponding angles.
They both take the same position on the same side of the transversal.
✔️<3 and <7 are alternate interior angles.
They are alternating angles along the transversal that are located just within the two lines intersected by the transversal.
✔️<4 and <3 are consecutive interior angles.
They are angles on the same side of the transversal but lie within the two straight lines intercepted by the transversal.
✔️<7 and <6 are linear pair angles.
They are angles on a straight line, and sum up to 180°.
A light bulb consumes 2700 watts an hour in 4 days and 12 hours. How many watts does it consume in a day
Answer:
The light bulb will consume 600 watts in one day.
Step-by-step explanation:
Let us suppose the light bulb is continuously ON.
As a light bulb consumes 2700 watts an hour in 4 days and 12 hours.
4 days and 12 hours = 96 hours + 12 hours = 108 hours
So, a light bulb consumes 2700 watts in 108 hours.
Hence,
A light bulb consuming the watts per hour will be: 2700/108 = 25 watts
As a light bulb consumes 25 watts in one hour, there are 24 hours in a day.
Light bulb consuming total no of watts in a day = 25 × 24 = 600 watts
Therefore, the light bulb will consume 600 watts in one day.
2ND METHOD
4 days and 12 hours = 4.5 days
Total no of watts cosumed by a light bulb in 4.5 days = 2700 watts
so
Total number watts consumed in a day = 2700 / 4.5 = 600 watts.
Therefore, the light bulb will consume 600 watts in one day
Marilyn managed to sell 3/5 of her cakes.
a. What percentage of cakes was sold?
b. What percentage of cakes was left?
Answer:
Step-by-step explanation:
A: She sold 60% of her cakes
B: 40% was left
I’m pretty sure these are the answers
2.6x 0.47 pls show your work I need help
Answer:
2.6 x 0.47 = 1.222
Step-by-step explanation:
Hello I hope you have a wonderful day can you pls help me out it I will fail
Gavyn & Raj share a lottery win of £950 in the ratio 1 : 4.
Gavyn then shares his part between himself, his wife & their son in the ratio 5 : 3 : 2.
How much more does his wife get over their son?
Answer:
£19
Step-by-step explanation:
Gavyn:Raj=1:4£950 to be split in 1:4, so Gavyn=£190 and Raj=£760Gavyn:Wife:Son=5:3:2£190 to be split in 5:3:2, so Gavyn=£95, Wife=£57, and Son=£38Wife gets £57-£38=£19 more than her sonSimplify 1+2(5x-5)-7x
Answer:
1 + 3x or 3x + 1
Step-by-step explanation:
2*5x = 10x
2*-5 = -10
1+10x-7x
10x-7x = 3
1+3x
Use basic identities to simplify the expression
Answer:
sec20
Step-by-step explanation:
1. Here is a number line. Write the two missing numbers in the boxes.
0
2
Answer:
The box on the left is 0.4 and the box on the right is 1.8
What are the three types of systems of linear equations and how are the different?
Answer:
Consistent/Independent, Inconsistent, Dependent
Step-by-step explanation:
Consistent/Independent:
Where there's only one unique solution
Inconsistent
Where there is no solution
Dependent
Where the solution is dependent
If f(4) = 246.4 when r = 0.04 for the function f(t)- Pelt, then what is the
approximate value of P?
A. 50
B. 289
C. 1220
D. 210
Answer:
The answer is to this is D. 210
EASY BUT PLEASE HELP!!!!
Answer:
10(3)^3
3^3 = 9
10 (9) = 90
(3,90)
Step-by-step explanation:
Hope it helps!
3. Estimate the quotient. Round the divisor first. 482 ÷61=
Answer:
8.033
Step-by-step explanation:
Hotel rooms in New Orleans, Louisiana, are subject to a 13% sales tax and a $2 tourism fee that is assessed for each night of a person's stay in the hotel. If a person stays in a hotel room that costs $x per night, write a function, h(x), that describes the nightly cost of the hotel stay. Challenge: Use your equation to determine how much 10 nights would cost How many nights would you have to stay to spend over $100?
Which type of cell is most responsible for relaying information to the brain about external stimuli such as heat?
A.
nerve cells
B.
red blood cells
C.
muscle cells
D.
white blood cells
Answer:
A. Nerve cells
Step-by-step explanation:
Answer:
nerve cells
Step-by-step explanation:
7x + 2y = 10
How do I find the slope?
Answer:
Slope is:
y = -7/2 x + 5
Step-by-step explanation:
7x + 2y = 10 You need to get the y by itself on the left
-7x + 2y = -7x Subtract the 7x on both sides. The -7x cancels on the left
-----------------------
2y = -7x + 10 You need to get the y by itself on the left. Divide the 2 to
--- = ----- + ---- each component. ( Everything on both sides )
2 = 2 + 2
y = -7 + 5 The 2's on the left would cancel. Divide for the rest
---- x Do not turn the -7 / 2 to a decimal! Keep it as it is!
2
The linear equation is:
y = mx + b
y = y-value from coordinate
m = slope
x = x-value from coordinate
b = y - intercept
M = -7/2
We do not know what x and y is
b = 5
Hope this helps!!
Find the quotient of 1 1/4and 3 1/2 . Express your answer in simplest form.
Answer:
5/14
Step-by-step explanation:
convert mixed number to improper fraction:
1 1/4 = 5/4
3 1/2 = 7/2
5/4÷7/2
multiply first number by reciprocal of second number. To get the reciprocal, switch the numerator and denominator.
5/4*2/7
=10/28
simplify
= 5/14
Answer:
5/14
Step-by-step explanation:
Remember: Keep, change, flip
Keep: 1 1/4 = 5/4
Change: ÷ -> ×
Flip: 3 1/2 = 7/2 = 2/7 flipped
Original: 5/4 ÷ 7/2 = x
Keep change flip method: 5/4 × 2/7 = x
x = 10/28 which simplifies to 5/14
x = 5/14
Is this a valid experimental design?
A.
B.
C.
D.
Answer: d
Step-by-step explanation: None needed
-7/2 x 1/6
Please help!
Answer:
-0.58333333333
Step-by-step explanation:
the equation a=640 s gives the relationship between s square miles and a acres. Pam owns 4.5 square miles of farmland. how many acres does she own
Answer:
23
Step-by-step explanation:
im sorry i just want some points but look it up im sure youll figure it out !
2+24/654-7986x76483=
Answer:
-610793236
Step-by-step explanation:
2+24/654-7986x76483 (punch it in the calculator)
= -610793236
or if you need to "show your answer"
2+24/654-7986x76483
= 2+24/654-610793238
= 2+ 0.36- 610793238
= 2+ (-610793238)
= - 610793236
An athlete in training rides his bike 50 mi and then immediately follows with a 2.5 mi run. The total workout takes him 2.5 hr. He also knows that he bikes about twice as fast as he runs. Determine his bike speed and his running speed.
Part 1
His running spend is ___mph
Part 2
His biking speed is ___mph
Answer:
12345
Step-by-step explanation:
so you add and then you got it
Ann can accomplish his school project in x hours. What part of his school project can be completed
by Ann after 2 hours?
Answer:
T = [tex]\frac{2}{x}[/tex]
Step-by-step explanation:
Since we are only given the total number of hours that the project will take and nothing else, we can simply divide the 2 hours by the total number of hours in order to create an expression for the percent that will be completed in that time which in this expression would be represented by the variable T.
T = [tex]\frac{2}{x}[/tex]
We can then use this equation by plugging in a value for x in order to calculate the percent of the project that will be completed in 2 hours.