Answer:
5.67
Step-by-step explanation:
The scale factor of the height of the image is 7.89.
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. The scale factor is the ratio of the actual size to the scaled size of the object.
Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
Given that In an old photograph, the height of grandma's table is 3.8 cm. The table doesn't exist anymore; grandma doesn't know what happened to it. She does still have the vase in the photograph which is 0.8cm tall in the photograph and 30 cm tall in real life.
The scale factor will be calculated as,
Scale factor = ( 30 / 3.8)
Scale factor = 7.89
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2^x+2=4. yall i got this problem and i dont rlly understand how to do it. Hope yall can help me:)))))))))))))))
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
Ok, so we start off with [tex]2^x+2=4[/tex]
Then, we subtract 2 from both sides so that becomes: [tex]2^x+2-2=4-2[/tex]
After that, we simplify to get: [tex]2^x=2[/tex]
Finally, the solution becomes: [tex]x=1[/tex]
Answer:
x=1
Step-by-step explanation:
2^x=4-2
2^x=2
2^x=2^1
x=1
Nick drives 7 miles in ten minutes how many miles would nick drive if he drove at the same rate for 2 hours?
Answer 84 miles
Step-by-step explanation:
2hrs= 120min
7 miles/ 10 min = x miles/ 120 min
x = 84 miles
You have been asked to analyze the popcorn recipes of three different local theatres in order to figure out which theatre has the best popcorn. In this case, the "best" popcorn is the most buttery! In your quest to find the best, you meet with each theatre manager individually and ask for the ratio of oil to popcorn kernels that they use in their recipes. Here are their responses.
The manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
The manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
The manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
You also ask about the amount of salt each theatre uses in their recipe. Their responses are below.
Theatre A uses 2 cups of salt for every 10 cups of oil.
Theatre B uses cup salt for every cup of oil.
Theatre C uses 1 cup of salt for every 6 cups of oil.
For each of the following ratio problems, use a double number line or an equation to solve. Type your answers as numbers.
If Theatre A uses 27 cups of popcorn kernels, how many cups of oil will they use?
_____cups
Answer: The ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
Step-by-step explanation: Given that the manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
Then, the ratio value of oil to popcorn kernels for theatre A is 5 / 15 = 1 / 5.
Given that the manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
Then, the ratio value of oil to popcorn kernels for theatre B is 18 / 72 = 1 / 4.
Given that the manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
Then, the ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
CAN SOMEONE HELP ME WITH THIS?
Answer:
d
Step-by-step explanation:
Which ordered pair (a, b) is the solution to the given system?
2a-5b=1
3a+5b=14
(1, 3)
(3, 1)
(29/5,15)
15,29/5
Answer:
2a - 5b = 1
3a + 5b = 14
Let's solve this system using elimination. Add the equations together to cancel the b-terms, then solve for a.
2a - 5b = 1
3a + 5b = 14
+___________
5a - 0 = 15
5a = 15
a = 3
Next, plug 3 for a into either of the equations and solve for b.
2a - 5b = 1
2(3) - 5b = 1
6 - 5b = 1
- 5b = -5
b = 1
Lastly, check all work by plugging both values for their respective variables.
2a - 5b = 1
2(3) - 5(1) = 1
6 - 5 = 1 -- This is true
3a + 5b = 14
3(3) + 5(1) = 14
9 + 5 = 14 -- This is true
The solution to the system of equations is (3, 1).
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Name.
Solve using
Substitution
L
y = 3x + 2
6x - 2y = 8
Answer:
No solution
Step-by-step explanation:
There is no solution to the system of equations y=3x+2 and 6x-2y=8, meaning that they are parallel to each other on a graph, with no points ever intersecting on each other's lines.
Suppose that you have $1500 to spend on fencing for your rectangular yard. The fence meets with your
house on one side, so you only need to fence three sides of the rectangle. The sides touching the house
will be equal in length, call these lengths x feet. And label the length of the third side y feet. Fencing
costs $57 per foot.
a. Write a function that expresses total fence cost as a function of x and y.
b. Write a function that expresses the total area as a function of x and y.
c. Write a function that expresses the total area as a function of x only. Assume that you want to
spend as much of that $1500 as you can.
d. Graph the result of c and past below. Be sure to include where the function reaches a maximum.
The cost function of the rectangular yard is 114x + 57y = 1500
Let x represent the length of the rectangular yard and y represent the width of the rectangular yard.
Since you need to fence only 3 sides, hence:
2x + y = Perimeter
Each foot cost $57 per foot and there is $1500 to spend, hence:
2x(57) + y(57) = 1500
114x + 57y = 1500
y = (1500 - 114x) / 57
The area (A) of the rectangular yard is:
A = x * y
A = xy
A = x[(1500 - 114x) / 57)
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I am confused, can someone help me
Answer:
bc=10
Step-by-step explanation:
12/bc=18/(33-18)
12/bc=18/15
18bc=12*15
18bc=180
bc=180/18
bc=10
If a rectangle has a base of 6' and a height of 4' its area would be what?
A= bxh
A= 6'x4'
A= 24 sq.ft.
A middle school had a school spirit day. In one class the ratio of students who wore school colors to the number of students who didn’t was 8 to 5. Ten students didn’t wear school colors
Answer:
Step-by-step explanation:
How do I solve this? 2(-2w-1.2+7x)
What is the volume of a cylinder with a height of 13 and radius 6?
1470.27
v = pi r^2 (H)
v = 3.14 (6^2) (13)
v = 3.14 (36) (13)
v = 1470.27 (about)
Answer:
V = 1470
Step-by-step explanation:
V = πr²h
V = (3.14)(6²)(13)
V = (3.14)(36)(13)
V = 1469.52
Anna categorized her spending for this month into four categories: Rent, Food, Fun, and Other.
If Anna spent a total of $2900 this month, how much did she spend on Rent?
Answer:
.26 * 2900= 754 dollars
Step-by-step explanation:
I'm not sure if it's right.
How would I solve this algebra question? Step by step
The town of Winchester recently built an artificial body of Vater. This reservoir will store drinking water for the
town. Which of the following could cause contamination of the water and lead to human health-related problems
and loss of native species?
development of a water quality plan
B building a fence around the reservoir
C improvements to a water treatment facility
increased use of pesticides (chemicals) by farmers within the local watershed
Answer:
This reservoir, will store drinking water for the town. Which of the following could cause contamination of the water and lead to human health-related problems and loss of native species? ... Air pollution can affect human health and the health of other living things.
Step-by-step explanation:
Work out the area of the shaded shape.
Answer:
61 m²
Step-by-step explanation:
Find the area of the whole rectangle and subtract the part that is cut off
Area = [tex]11 *8 - 9 *(8-5)[/tex]
= [tex]88 - 9*3[/tex]
= [tex]88 - 27[/tex]
= [tex]61[/tex]
Units = m * m or m²
61 m²
-Chetan K
2. Harry puts $5 in his piggy bank every
week. What type of slope does this
scenario describe? Explain.
Answer:
linear
Step-by-step explanation:
Answer:
Linear slope of 5/1
Step-by-step explanation:
The rate is constant.
Hope that helps
What is the end behavior of the function f(x)=−3/4x^2?
Answer:
[tex]f(x)\longrightarrow-\infty[/tex], as [tex]x\longrightarrow+\infty[/tex]
Step-by-step explanation:
We can see that the larger the input, the smaller the output
I WILL GIVE BRAINLEST HURRY PLEASE ITS DUE RIGHT NOW HURRY PLEASE plssss help me if your good at finding area in shapes plsss
3(x+9)-4x=11x-13x+23
Answer:
[tex]\huge\boxed{x=-4}[/tex]
Step-by-step explanation:
[tex]3(x+9)-4x=11x-13x+23\\\\(3)(x)+(3)(9)-4x=(11x-13x)+23\\\\3x+27-4x=-2x+23\\\\(3x-4x)+27=-2x+23\\\\-x+27=-2x+23\qquad|\text{subtrsact 27 from both sides}\\\\-x=-2x-4\qquad|\text{add}\ 2x\ \text{to both sides}\\\\x=-4[/tex]
Which expression is equivalent to (6x + 12)?
Answer:
2(3x + 6)
Step-by-step explanation:
Find the midpoint of Segment AB if A (-5, 6) and B(1.-3).
Midpoint Formula: (X: + X2, Y + y2)
2 2
Answer:
(-2, 1.5)
Step-by-step explanation:
x-coordinate = ½(1 - 5) = -2
y-coordinate = ½(-3 + 6) = 1.5
3
Evaluate the function f(x) = (x + 2)2 for the given inputs.
a. f(5)=
b. f(-3) =
c. f (x+3) =
Answer:
a. 49
b. 1
c. x^2+10x+25
Step-by-step explanation:
Symply substitute the values (5, -3, x+3) in the equation (x+2)^2
Does 28/4 have a remainder
Remainder=0
Quotient=7
Thanks!!
3. Tom's entered a snowman building contest in which the person who builds the tallest
snowman wins. Currently, the record is 13.4 feet high. If Tom's snowman is currently 9 feet
high, how many more feet does he need to build on, in order to win the competition
tom's snowman has to increase by anything greater than 4.4 ft
Answer:
4.5 feet
Step-by-step explanation:
9+4.5=13.5
13.5>13.4
Only 19 and 21!!!!!
Thank You!!!!
Step-by-step explanation:
19. 4x² - 13x + 3
4x² - 1x - 12x + 3
x(4x - 1) -3(4x - 1)
x-3 4x-1
if I set off for the market,a distance of 11km at 10am. And walk at an average speed of 3km per hour,At what time will I reach the market?
Answer:
At 1:40 pm you will reach the market.
Step-by-step explanation:
Distance (d) = 11 km
Average speed (v) = 3 km/h
Formula:
[tex] \rm Average \: speed = \dfrac{Distance}{Time} \\ \\ \rm 3 = \dfrac{11}{t} \\ \\ \rm t = \dfrac{11}{3} \\ \\ \rm t = 3 \frac{2}{3} \\ \\ \rm t = 3 hr \: 40min[/tex]
It will take 3 hours 40 minutes to reach the market.
So, if you set off for the market at 10 am you will reach market by 1:40 pm (10 am + 3hr 40min).
WHAT PERCENT OF 200 IS 28???? HELP MEEEEEE!!!!!!!!!
Answer:
14%
Step-by-step explanation:
Find the quotient of 29 and 200.
[tex]\frac{28}{200}=0.14[/tex]
Therefore, 28 is 14% of 200.
The number 28 is 14% of the number 200.
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the number is 200 and 28 is what percent of 200 will be calculated as:-
The percentage will be calculated as:-
200 x (X)% = 28
X% = ( 28 x 100) / 200
X% = 14%
Therefore, the number 28 is 14% of the number 200.
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Would I use subtraction for this problem ?
Answer:
Tim has 224 blue marbles.
Step-by-step explanation:
32 × 7 = 224
He has 7 times as many as Malanie (32)
I hope this helps!!!!
a tube has a radius of 4 inches and a height of 4 inches. what's its approximate volume?
Step-by-step explanation:
that is the same as the volume of a cylinder :
pi×r²×height = pi×4²×4 = pi×64 = 201.0619298... in³
≈ 201 in³
Volume is a three-dimensional scalar quantity. The volume of the tube is 201.0619 inches³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of a cylinder is given by the formula as shown below,
Volume of a cylinder = πr²h
where r is the radius of the cylinder while h is the height of the cylinder.
Given that a tube has a radius of 4 inches and a height of 4 inches. Therefore, the volume of the tube will be,
The volume of the tube = π × R² × h
= π × (4 inches)² × (4 inches)
= 64π inches³
= 201.0619 inches³
Hence, the volume of the tube is 201.0619 inches³.
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