A beetle that Hannah observed was too small to draw at its actual size. Hannah decided to make a scale drawing of the beetle as shown above. The beetle in the drawing is 7.62 cm long and 3.81 cm wide. The scale factor of her drawing is 3. Part A: Find the actual length of the beetle Hannah observed. Show all work. Part B: Find the actual width of the beetle Hannah observed. Show all work. Part C: The actual length of each of the beetle's antennae is 0.2 cm. What is the size of each antenna on Hannah's scale drawing? Show all work.
Answer:
[tex]Actual\ Length = 2.54\ cm[/tex]
[tex]Actual\ Width = 1.27\ cm[/tex]
[tex]Scale\ Length = 0.6\ cm[/tex] --- Beetle's antennae
Step-by-step explanation:
Given
The following scale measurements
[tex]Length = 7.62cm[/tex]
[tex]Width = 3.81cm[/tex]
[tex]Scale\ Factor = 3[/tex]
Solving (a): The actual length.
We simply divide the scale length by the scale factor.
[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]
[tex]Actual\ Length = \frac{7.62cm}{3}[/tex]
[tex]Actual\ Length = 2.54\ cm[/tex]
Solving (b): The actual width.
We simply divide the scale width by the scale factor.
[tex]Actual\ Width = \frac{Scale\ Width}{Scale\ Factor}[/tex]
[tex]Actual\ Width = \frac{3.81\ cm}{3}[/tex]
[tex]Actual\ Width = 1.27\ cm[/tex]
Solving (c):
Given: Actual Length of the beetle's antennae is 0.2 cm.
Required: Determine the scale measurement.
This is solved using:
[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]
[tex]0.2\ cm = \frac{Scale\ Length}{3}[/tex]
[tex]Scale\ Length = 0.2cm * 3[/tex]
[tex]Scale\ Length = 0.6\ cm[/tex]
Kinda stuck on this question. Anyone can help! Thanks!
Answer:
D. 308
Hope This Helps!
Answer: your answer is D-please look below for an explanation!
Step-by-step explanation: here are the steps to find it using long division:
step 1: write out your problem-
step 2: see how many times go into 2156
step 3: write your answer out then choose
your answer is option D(308)
hope this helped! please give me a thx and brainliest!
A savings account increases from $200 to $208. What is the percent increase of the
savings account?
Answer:
4%
Step-by-step explanation:
8/200 = 0.04
are are 11 books on a short 4 of these books are new. The rest of them are used. (a) What is the ratio of used books to all books on the shelf? () What is the ratio of used books to new books?
Answer:
a) 7:11 b) 7:4 hope this helps
Interest = $ 6400, rate = 4% time = 5 years ( if you don't know don't answer) please solve it correctly
Answer:
principal=32000
Step-by-step explanation:
I=p×r×t/100
6400=p×4×5/100
640000=p×20
p=32000
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answer:
might be b but I'm not 100% sure so sorry if it's wrong
0.5x + 0.25(x + 16) = 4 + 0.75x
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]0.5x + 0.25(x + 16) = 4 + 0.75x \\ [/tex]
[tex] \frac{1}{2} x + \frac{1}{4} (x + 16) = 4 + \frac{3}{4} x \\ [/tex]
[tex] \frac{1}{2} x + \frac{1}{4} x + \frac{16}{4} = 4 + \frac{3}{4} x \\ [/tex]
[tex] \frac{2}{4} x + \frac{1}{4}x + 4 = \frac{3}{4} x + 4 \\ [/tex]
[tex] \frac{3}{4} x + 4 = \frac{3}{4} x + 4 \\ [/tex]
The sides are exactly have like terms ,
Thus we have infinite solution for the equation.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A rectangular prism has a height of 15 centimeters. The base of the prism has an area of 22 square centimeters. What is the volume of the prism?
Answer:
330cm^3
Step-by-step explanation:
22 only has 2 factors 11&2. So take 11•2•15=330 Doing it as 22•1•15 works as well.
a carnival booth duck game offer cash prizes. the booth at 75 plastic ducks floating around in a wading pool. 4 ducks have a green stars on the underside, and you win $10 for selecting a duck with a green star. it costs $1 to select a duck. is this a fair game?
Answer:
No, it is not fair
Step-by-step explanation:
Here, we want to check if this is a fair game
To win a sum, a duck with a green star on the underside must be selected
The number of ducks with this is 4 out of 75
The probability of selecting one is 4/75
The expected value of selecting is ;
4/75 * 10 = 0.5333
The cost of selecting a duck is $1
The probability that a duck that wins will not be selected is 71/75 which at a price of $1 is 0.9467
Since the price to lose and the amount to win is not the same, then the game is not fair
A video posted on the internet is becoming very popular, and the total number of views is increasing by 40% every hour. If the video currently has 74,300 views, how many views will it have in 9 hours?
Answer:
74304 approx.Step-by-step explanation:
Step one:
given data
current view of the video is marked at =74300
the rate of increase is 40%
let the number of hours be x
and let the total views be y
hence the linear function for the total is
y=0.4x+74300
Required is the value of y when x=9
Step two:
substitute x=9
y=0.4(9)+74300
y=3.6+74300
y=74303.6
y=74304 approx.
Choose the best graph that represents the linear equation:
6x = y + 8
Graph A
On a coordinate plane, a line goes through (negative 2, 4) and (0, negative 8).
Graph B
On a coordinate plane, a line goes through (0, negative 8) and (2, 4).
Graph C
On a coordinate plane, a line goes through (negative 2, negative 4) and (0, 8).
Graph D
On a coordinate plane, a line goes through (0, 8) and (2, negative 4).
a.
Graph A
c.
Graph C
b.
Graph B
d.
Graph D
Evaluate [7 - (2 - 5(4 - 7) + 6)] + 7
30
-20
-42
-9
None of the above
7−(2−5(4−7)+6)+7
=7−(2−(5)(−3)+6)+7
=7−(2−(−15)+6)+7
=7−(17+6)+7
=7−23+7
=−16+7
=−9
Thus, the answer is -9
please help, i’m so confused ahhh
Answer: x = 3. the length of side ST is 14.
Step-by-step explanation:
Since both sides are equal, we can use the equation 3x + 5 = 5x - 1.
To start the problem, we subtract 3x from each side which makes our equation 5 = 2x - 1.
The next step would be to simplify the equation by adding 1 to each side which makes our equation 6 = 2x.
We then need to simplify the equation to x = 3.
This means the answer to 9 is x = 3.
For the next problem, since we already know the value of x, we substitute its value which in this case would be 3. This leaves us with an equation of 9 + 5, which equals 14.
This means the length of side ST is 14.
Someone help me pls!!!!
Answer:
it b
Step-by-step explanation:
Decide whether enough information is given to prove that the triangles are congruent. If so, state the theorem you would use
not enough information provided
yes; AAS Congruence Theorem
yes; SAS Congruence Theorem
yes; SSS Congruence Theorem
Answer:
Yes; AAS Congruence Theorem
Proof:
In [tex]\triangle ABC[/tex] and [tex]\triangle QRS[/tex]:
[tex]\angle BAC = \angle RQS[/tex] (given)
[tex]\angle ABC = \angle QRS[/tex] (given)
[tex]AC =QS[/tex] (given)
∴ [tex]\triangle ABC \cong \triangle QRS[/tex] (AAS)
There is enough information to prove that the two triangles are congruent through the AAS congruence theorem.
Hope this helps :)
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• -3 1/2
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• opposite of –5
Answer:
Positive 5.
Step-by-step explanation:
Opposite of negative 5 is positive 5.
The point will be on the positive side, which is above sea level. So it will be on 5 above the zero.
Answer:positive 5
Step-by-step explanation:
80 is what percent of 125?
two supplementary angles are in a ratio of 7:11. find the measures of each angle
Answer:
70° and 110°
Step-by-step explanation:
Supplementary angles sum to 180°
sum the parts of the ratio, 7 + 11 = 18 parts
Divide 180° by 18 to find the value of one part of the ratio.
180° ÷ 18 = 10° ← value of 1 part, thus
7 parts = 7 × 10° = 70°
11 parts = 11 × 10° = 110°
The 2 angles are 70° and 110°
Evaluate. -2 1/4 -(-3 2/5).
Answer:
1 3/20
Step-by-step explanation:
1. Make them all into fractions:
-8/4 -1/4 -(-15/5 -2/5)
2. Add like-terms:
-9/4 -(-17/5)
3. A negative times a negative makes a positive:
-9/4 +17/5
4. Identify the least common denominator (LCD):
20
5. Apply:
-9x5/4x5 +17x4x/5x4
6. Solve:
-45/20 +68/20
7. Result:
23/20, simplified 1 3/20
Cheddar cheese costs $4.25 per pound. Which equation best represents y, the total cost of x pounds of cheddar
cheese?
A. x = 4.25 + y
B. x = 4.25y
C. y = 4.25+ x
D. y = 4.25x
I will MARK brainlist!
Answer:
D
Step-by-step explanation:
4.25 × the amount of cheese you buy (x) equals the total cost (y)
Answer:
D. y = 4.25x
Step-by-step explanation:
You multiple the price per pound by the number of pounds. Can I have brainliest? Thanks!
Explain how you would trace an argument. (1 point)
A. You would trace an argument by seeing if the reasons and evidence are
relevant in their support of the claim.
B. You would trace an argument by determining if the claim is true based on
the writer's different opinions.
C. You would trace an argument by seeing if the counterclaim provides
enough evidence and support for the topic.
D. You would trace an argument by deciding if
you agree with the stance that
the writer chose for the topic.
Answer:
A. You would trace an argument by seeing if the reasons and evidence are relevant in their support of the claim.
Step-by-step explanation:
The tracing of an argument should be seen when the reasons & evidence should be relevant for supporting the claim.
The following information should not be considered:
When the claim is true and depend upon the different writer opinion. When there is counterclaim and it gives sufficient evidence.When the writer choose for the topic.Therefore we can conclude that the first option is correct.
Learn more: brainly.com/question/17429689
PLEASE HELP!!!
In order to get a good workout on your treadmill, you figure you have to run 528 feet in one minute. What are the possible numbers of miles you have to run in 20 minutes to exceed this rate? (Hint: 1 mile = 5280 feet)
________________________________________
PLEASE PROVIDE AN EXPLANATION, thank you!
Also, the math should include an inequality. Please show how the answer was gotten with an INEQUALITY. It will help, thank you!
81-1 1/5 x < 55
please help i need help fast
Step-by-step explanation:
81 - 1.2x < 55
81 < 55 + 1.2x (add 1.2x to both sides)
1.2x > 26 (subtract 55 from both sides)
x > 21 2/3.
A teacher buys 5 pizzas. Each slice is 1/8 of a pizza. How many slices are there in total?
1/40 slice
4 slices
20 slices
40 slices
Answer:
40 slices
Step-by-step explanation:
Each slice = 1/8 pizza
Pizza = 8 slices
5 pizza = 5 x 8 slices
5 pizza = 40 slices
The total number of slices in 5 pizzas if each slice is 1/8 of a pizza is 40 slices
Solving equationTotal pizza bought = 5Each slice = 1/8Total slices of pizza = Total pizza bought ÷ Each slice
= 5 ÷ 1/8
= 5 × 8/1
= 40 slices
Therefore, the total number of slices in 5 pizzas if each slice is 1/8 of a pizza is 40 slices
Learn more about equation:
https://brainly.com/question/2972832
Which of the following is the slope of the line that passes through (-3,5) and (1, 15)?
Answer: 5/2
Step-by-step explanation: slope is the change in y over the change in x (y2-y1/x2-x1)
HELP WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
huh
ok
....................................
If x = 12 units, y = 4 units, and h = 8 units, find the area of the rhombus shown above using decomposition. A. 16 square units B. 96 square units C. 128 square units D. 32 square units
The area of the rhombus will be 96 square units. Then the correct option is B.
The missing diagram is attached below.
What is the area of the rhombus?Let a be the length and h be the height of the rhombus.
Then the area will be
Area = a × h square units
If x = 12 units, y = 4 units, and h = 8 units.
Then the area of the rhombus will be
A = 12 × 8
A = 96 square units.
Then the correct option is B.
More about the area of the rhombus link is given below.
https://brainly.com/question/15458057
#SPJ1
Answer:
96
Step-by-step explanation:
Rick has a piece of lumber that is 12 feet long. He cuts it into pieces that are each 3/4 of a foot long. How many pieces of 3/4 foot lumber will he be able to make?
Answer:
He will be able to make 16 pieces of lumber
Step-by-step explanation:
A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for every 4 milliliters of compound
B. If a chemist wants to make 621 milliliters of the drug, how many milliliters of compound A are needed?
Answer:
884
Step-by-step explanation:
We know the ratio of A to B is 5:8
let x = the multiplier
then
5x = amt of compound A
and
8x = amt of compound B
:
5x + 8x = 884
13x = 884
x = 884/13
x = 68 is the multiplier
therefore
5(68) = 340 millilters of compound A needed
:
:
Confirm our answer. Find the amt of B
8(68) = 544 ml of B
340 + 544 = 884
someone help me pleaseeee
Answer:
3 times 2 equal 5
Step-by-step explanation:
did the test and made 100