Answer:
The correct answer is:
3 feet wide, 4 feet long, and 2 feet high (b)
Step-by-step explanation:
The appropriate scale for the model must be equivalent to the scale of the actual design. This means that the variation must be of the same magnitude in the length, height, and width.
Cart design = 4 feet high; 6 feet wide; 8 feet long
Cart design = 4H : 6W : 8L
where H, W, and L are height, width, and length respectively.
since the model of the Go Cart will be lesser than the actual Cart, let us divide the original cart design by the model designs given in the option, anyone that gives us a consistent variation is a right scale. This is done as follows:
a) Model design = 2H : 2W : 5L
dividing the original dimension by the model:
[tex]\frac{4H}{2H} : \frac{6W}{2W} : \frac{8L}{5L} \\= 2 : 3 : 1.6\\[/tex]
since the variations are not the same, this is the wrong model.
b) Model design = 2H : 3W : 4L
[tex]\frac{4H}{2H} : \frac{6W}{3W} : \frac{8L}{4L} \\= 2 : 2 : 2\\[/tex]
variation is the same across the three dimensions, hence this is the right model.
You can go ahead to use the same principle to do the third model, to see what you will get.
Which equation represents the relationship between the
number of pets Scott watches and his fees?
Find the percent decrease round to the nearest percent from 93 Fahrenheit to 58 Fahrenheit the percent decrease is what percent
Answer:
38%Step-by-step explanation:
Initial value = 93 FFinal value = 58 FDecrease
93 - 58 = 35 FPercent decrease
35/93*100% = 38 % roundedThe expression 35000(0.87)^t describes the value of a car years after it has been purchased. Interpret the coefficients of the expression in the context of this situation.
Answer: 35,000 · 0.87t
Step-by-step explanation: A coefficient is multiplying
3. Hank makes $416.83 in 5 days. How much does he make in 3 days?
Answer:
250.11 is the answer for the problem
Since starting a new recycling plan, Hannah's office recycles 2 kilograms of paper each
week. How many weeks will it take Hannah's office to recycle a total of 8 kilograms of
paper?
Answer:
4
Step-by-step explanation:
Known:
Every week Hannah's office recyles 2 kilograms of paper
1 week = 2 kg of paper
To find a rate at which the office recyles paper divide the unit of measurement (kg) by a unit of time (weeks)
So:
2 kg/ 1 week = 2 kg of paper recycled per week
We want to know how many weeks it will take to recycle 8 kg.
Think of it this way.
if you divide kg by kg/week the kg cancel out and you get the unit week.
So divided 8 kg by the rate we discovered (2 kg/week) and you shall get the answer 4 weeks.
77÷ -11
20 points!!!!!
Answer:
7 time 11 is 77 so 77 divided by 11 is 7
Step-by-step explanation:
Answer:
It's -7
Step-by-step explanation:
Which word describes the slope of the line?
Answer:
rate of change
Step-by-step explanation:
Answer:
"rise over run" or "rate of change"
Step-by-step explanation:
"Slope" itself is "rise over run", or how quickly the line moves up or down relative to the x-axis as the value of x changes.
A gradient is really just another name for slope, not a description OF a slope.
What is the constant in 2m + 3m - m
Answer:
-m is the constant
Step-by-step explanation:
Hope this helps and could you mark this brainliest
ill mark brainliest
Solve the proportion.
b/36=5/9
b=
Answer:
20
Step-by-step explanation:
36➗4=9
20➗4=5
Thomas rented a bus so he and his friends could go to a concert. He had to pay a flat fee of $40 for the bus plus an additional $0.70 per mile. If he paid a total of $104.40, how many miles in total was the trip?
Answer:
so if Thomas payed $40 for the bus we have to find what he payed not including the $40 bus fee.
so we have to subtract 40 from the total price of $104.40.
the equation is 104.40-40=?
104.40-40=$64.40 payed outside the bus fee.
now we have to figure out how many times .70 fits into 64.40
the equation would be 64.40/.70 which means we are dividing 64.40 by .70
so 64.40/.70=92
Thomas and his friends traveled a total of 92 miles to go to the concert.
Step-by-step explanation:
HELP ME PLEASE 40 POINTS
Answer: abd=50
Step-by-step explanation: bc angel 3 is 80 that means angel 2 is one hundred and abc is the same as angel tow because the two lines are so ABC is 100 and line segment BC is bisecting ABC so you divide ABC by two and get 50
Reflect the point (-7, -9) across the x-axis: Then
Reflect the point (-7, -9) across the y-axis:
Step-by-step explanation:
Reflecting across the x axis will result in a sign change for. the y component, therefore (-7,-9) becomes (-7,9)
Reflecting across the y axis will result in a sign change for the x component, therefore (-7,-9) becomes (7,-9)
Calculate the average speed of a boat that travels 600 meters in 40 seconds.
Answer:
15 meters in 1 second
Step-by-step explanation:
Divide 600 by 40 which is 15
so it travels 15 meters in 1 second
hope this helps!
Answer:15 meters per second
Step-by-step explanation:
600/40= 15
Easy 30 Points!!!!!!!A microscope shows you an image of an object that is 20 times the object's actual size. So, the
scale factor of the enlargement is 20. An insect has a body length of 2 millimeters. What is the
body length of the insect under the microscope?
40 centimeters
40 millimeters
4 millimeters
400 millimeters
Answer:
1
Step-by-step explanation:
Answer:
Keywords:
Microscope, scale factor, enlargement, actual length, length to scale
For this case we have a microscope that shows an enlargement scale of objects, 140 times the actual size. Given the actual length of an insect, we want to know the scale length shown by the microscope. So, we have the following equation:
If the insect has a , then:
Thus, the microscope will show the insect with a size of 840mm
Answer:
The body length of the insect under the microscope is 840mm
Option D
Step-by-step explanation:
Given m
11 n, find the value of z.
+
(10X-14)
>
(7x-8)
Answer:
Solve
Let's solve your inequality step-by-step.
10x−14>7x−8
Step 1: Subtract 7x from both sides.
10x−14−7x>7x−8−7x
3x−14>−8
Step 2: Add 14 to both sides.
3x−14+14>−8+14
3x>6
Step 3: Divide both sides by 3
3x/3>6/3
x>2
Step-by-step explanation:
Do your answers correctly or figure it out on paper
Question 4 of 25
True or false: f(x) is a function.
8
12
0
f(x)
A. True
Ο Ο
B. False
Answer:
true
Step-by-step explanation:
Which expression is ubderfined
Answer:
D
Step-by-step explanation:
When the denominator is 0, the fraction is undefined.
Help please!!! This is important!
Answer:
u didnt put any context
Step-by-step explanation:
If $7,500 investment earns $450 over 3 years what's the interest rate
Answer:
Rate is 2%
Step-by-step explanation:
Step one:
given data
Principal= $7500
Simple interest= $450
time=3 years.
Applying the simple interest formula which is
SI=PRT/100
Step two:
substitute we have
450=7500*R*3/100
cross multiply we have
45000=22500R
divide both sides by 22500
R=45000/22500
R=2%
HELP FAST!!! PLZ!! I BEG YOU!!! I'LL GIVE BRAINLYEST!!! 10 POINTS!!!
The frequency table shows the results of drawing 20 cards from the bag of 100. There are an equal number of cards of each color in the bag. Which color has the same frequency as the distribution of colors in the bag?
(I caint take a screen shot, so im going to try and recreate it)
COLOR FREQUENCY
Blue 4
Red 3
White 5
Yellow 8
A. white
B. red
C. yellow
D. blue
Answer:
white
Step-by-step explanation:
Which graph represents a function
PLEASE PLEASE PLEASE HELP WITH THE ONES CIRCLED IN BLACK I WILL GIVE EXTRA POINTS AND BRAINALIST TO THE FIRST PERSON TO ANSWER THANK YOUUUUU
Answer:
[tex]2. \: x > 0 \\ 3. \: - 1 \leqslant x < 3 \\ 4. \: 0 > x > 2[/tex]
what is the slope of (-8, -3) (-24, 1)
Answer:
(-16 , -4)
Step-by-step explanation:
you use rise over run
the rise is your y
the run is the x
[tex]\frac{y2-y1}{x2-x1}[/tex]⇒[tex]\frac{-3-1}{-24-(-8)}[/tex] =
[tex]\frac{-4}{-16}[/tex] or (-16, -4)
Jin bought 4 markers for $7. How many markers can he buy for $21? (label your answer for full credit)
Answer:
The answer is 12 markers. 4 markers for $7. You multiply 7 x 3and you end up with 21
Step-by-step explanation:
If triangle A(0,-1), B(0,3), C(3,-2) is rotated at 90 degrees CCW about the origin, what are the new coordinates
Tina's Jack Russell weighed 19.5 pounds. This week, her dog weighed 21.8 pounds. Find the percent of change in the weight of her dog?
Answer:
90%
Step-by-step explanation:
19.5 divided by 21.8 = 0.89449541 = 0.89% or 0.9%
Use the diagram at the right to determine x and y. AB and CD are
straight lines.
Name a pair of vertical angles:
Find the measure of
Answer:
x=30
y=52
verticle angles: AOC and DOB
Step-by-step explanation:
"The product of a number and five is subtracted from 27." Which expression
represents this scenario?
Answer:
27 - 5n
Step-by-step explanation:
n times 5 (5n) - 27
I don’t understand this
It's 6x10+8x1+4×0.1 It's just going by place value!
Explain the difference between parallel and perpendicular lines in terms of their slopes. What form of equation of a line is easiest to determine slope?
Answer:
Parallel lines have the same slope, while perpendicular lines have completely opposite slopes. So a line has a slope of 2, a parallel line would have a slope of 2, and a perpendicular line would have a slope of -1/2. The easiest form to identify the slope is standard form because it shows the slope within the equation with out having to solve the equation or convert it into another form.
