Answer:
8) width = 30 cm
length = 60 cm
9) first side = 60 m
second side = 180 m
third side = 240 m
Step-by-step explanation:
Question 8
Let W = width
Given:
length of a rectangle is 30 cm less than 3 times the width⇒ Length = 3W - 30
Given:
Perimeter = 180 cmPerimeter of a rectangle = 2W + 2L
(where W is the width and L is the length)
Substituting equation for length into the equation for the perimeter and solving for W:
Perimeter = 2W + 2L
⇒ 180 = 2W + 2(3W - 30)
⇒ 180 = 2W + 6W - 60
⇒ 240 = 8W
⇒ W = 30 cm
Substitute found value of W into the equation for length and solve for length:
⇒ Length = 3(30) - 30
⇒ Length = 90 - 30
⇒ Length = 60 cm
Question 9
Given:
The second side is 3 times the first and the third side is 60 m more than the second.Let x = first side
⇒ second side = 3x
⇒ third side = 3x + 60
Given:
Perimeter of triangle = 480 mPerimeter = sum of length of all sides
⇒ 480 = x + 3x + 3x + 60
⇒ 420 = 7x
⇒ x = 60
Therefore,
first side = 60 m
second side = 3 × 60 = 180 m
third side = 3(60) + 60 = 240 m
width be x
length=3x-30
Now
2(3x-30+x)=1804x-30=904x=120x=303x-30=60°#2
sides be x,3x,3x+60
Now
x+3x+3x+60=4807x=420x=60°Hence
3x=1803x+60=240Help i dont know whats the answer
Answer:
A. [tex]p(x)=7x-2[/tex]
Step-by-step explanation:
Given function:
[tex]y=\dfrac{x+2}{7}[/tex]
Rearrange to make x the subject:
[tex]\implies 7y=x+2[/tex]
[tex]\implies x=7y-2[/tex]
Swap x and y:
[tex]\implies y=7x-2[/tex]
This is the inverse of the original function.
Therefore, the answer is A [tex]p(x)=7x-2[/tex]
A camera has a listed price of $819.95 before tax. If the sales tax rate is 6.5%, find the total cost of the camera with sales tax included.
Leiff goes online to buy a new video game. He finds a site that currently has a promotion of 15% off on all orders over $50. Leiff decides to buy his video game, with a price tag of $128, at this site because he knows that he will get the 15% discount when he checks out. Leiff pays 5. 3% sales tax on the discounted price and pays a shipping fee of $4. 75. What is the total of Leiff’s online purchase? a. $112. 84 b. $114. 57 c. $118. 82 d. $119. 32 Please select the best answer from the choices provided A B C D.
Answer:
yea what the other guy said
The total of Leiff’s online purchases will be $119.32.Option d is correct.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
If the video game's original price is $128 and the discount is 15%, then Leiff paid (100-15) = 85% of the original price for the item.
Consequently, the video game's price is as follows:
(0.85 x 128) = $108.80.
Leif must contribute an additional 5.3% of the new price, so
(100 + 5.3) = 105.3% of the new price
= (1.053 x 108.8) = $114.57
Including the video game's shipping cost,
114.57 + 4.75 = $119.32
Thus, the total price is $119.32
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Make x the subject of this formula.
y= 5(t + x)
Step by step pls
Answer:
x = [tex]\frac{y-5t}{5}[/tex]
Step-by-step explanation:
y = 5(t + x) ← distribute parenthesis by 5
y = 5t + 5x ( subtract 5t from both sides )
y - 5t = 5x ( divide both sides by 5 )
[tex]\frac{y-5t}{5}[/tex] = x
Answer:The solution is in the attached file
Step-by-step explanation:
How much interest does a $482 investment earn at 5.5% over three years?
Answer:
If I'm not wrong I belive it would be like this -->
482x5.5x3=$72.3
So your answer would be $72.3!
Simple interest is the amount of interest charged on a given principal at a given rate and for a given period of time.
The interest earned with an investment of $482 at a rate of 5.5% over 3 years is $79.53.
What is simple interest?Simple interest is the amount of interest charged on a given principal at a given rate and for a given period of time.
We have,
P = Principal = $482
R = Rate = 5.5%
T = Time = 3 years
The formula for finding the simple interest is given:
SI = (P x R x T) / 100
The amount of interest from a $482 investment at 5.5% over 3 years:
= (482 x 5.5 x 3) / 100
= 7953 / 100
= 79.53
Thus,
The interest earned with an investment of $482 at a rate of 5.5% over 3 years is $79.53.
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2 3 4 5 6 7 8 9 10
TIME REMAINING
52:24
The Hawaiian language has 12 letters: five vowels and seven consonants. Each of the 12 Hawaiian letters are written on a slip of paper and placed in the bag. A letter is randomly chosen from the bag and then replaced. Then, a second letter is randomly chosen from the bag.
What is the probability that two vowels are chosen?
StartFraction 5 Over 72 EndFraction
StartFraction 25 Over 144 EndFraction
StartFraction 7 Over 12 EndFraction
Five-sixths
Answer:
25/144
Step-by-step explanation:
The probability of it occurring once is 5/12, which means that the probability of it occurring twice is (5/12 x 5/12) = 25/144.
7.5% of $12.58
ANSWER PLS
Answer:
0.94$
Step-by-step explanation:
Answer:
0.9435
Step-by-step explanation:
7.5/100 × 12.58 = 0.9435
Can someone help me with this one
Answer:
Step-by-step explanation:
The number of minivans is not really important for this question. You need only two numbers
Total vehicles = 545
Convertibles = 106
Equation
% convertibles = (# convertibles / Total) * 100%
Solution
% convertibles = (106 / 545) * 100%
% convertibles = 19.44%
Answer: 19 percent are convertibles.
Answer:
19%
Step-by-step explanation:
Number of convertibles = 106.
[tex]Percentage = \dfrac{number \ of \ convertible}{Total cars}*100\\\\[/tex]
[tex]= \dfrac{106}{545}*100\\\\\\= 19.44[/tex]
= 19%
What is the slope of the line shown below?
5
-4
O A.-4.
OB.
(5.1)
4
(-3,-1)
O C. 4.
OD.
Answer:
D
Step-by-step explanation:
We can first eliminate options A and B because they are both negative slopes and the graph shown is an increasing slope, meaning the answer is positive.
Next, we calculate the slope with the formula (y2 - y1) / (x2 - x1) to get 1/4.
1/4 is the slope.
which is not a rational number
a. √49 b. 37/5 c 0.067 d. 2.101100111000.......
if you can explain how you got the answer
Answer:
Determine the type of elasticity of demand
What value of x is in the solution set of 3(x – 4) > 5x + 2?
EO
0-10
ООО
05
A
5
Answer:
What value of x is in the solution set of 3(x - 4) = 5x + 2?
Solution:
3(x - 4) = 5x + 2 [Given]
Using the distributive law of multiplication on LHS
3x - 12 = 5x + 2
By grouping the similar terms on either sides and solving for x, we get
3x - 5x = 2 + 12
- 2x = 14
Divide both sides by -2 (by division property of equality)
(- 2x/2 )= 14/2
-x = 7
Therefore, the value of x is -7.
can someone help me out please ?
Answer:
[tex]8 + x = 25 \\ x = 25 - 8 \\ 17[/tex]
a=15 b=? c=39
The answers are either: 36, 27, and 3√ 194
Would you please give me the answer and an explanation on how to get the answer.
Find the value of x ???
Answer: 82
Step-by-step explanation:
which is likely to have a mass close to 3 kilograms
Answer:
Step-by-step explanation:
which is likely to have a mass close to 3 kilograms?
a. a 5- year old child
b. a bowling ball
c. a lemon
d. an adult lion
A kilogram weighs just over 2 pounds. It weighs 2.2 pounds. That's 2 point 2 pounds.
Multiply 3 times 2 point 2.
bowling ball is right. Some weigh 6 or 7 pounds.
How does the theoretical probability of the event “flip heads” change when a coin is flipped more times in an experiment?
A.) If a head is flipped, the theoretical probability will increase.
B.) If a tail is flipped, the theoretical probability will increase.
C.) If a tail is flipped, the theoretical probability will decrease.
D.) The theoretical probability will not change.
Answer:
D
Step-by-step explanation:
The figure below is dilated with the center of dilation at the origin and a scale factor of 1/2. What are the coordinates of the image of point R after this transformation?
Answer: (-4, -4)
Step-by-step explanation:
How many 4/5 cup servings are in 2/5 of a cup of ice cream (in simpleist form)
Answer:
There is 1/2 of 4/5 cup servings in a cup of ice cream.
find the sum of the arithmetic sequence -1,2,5,8,11,14,17
So, we must find the sum of this arithmetic sequence -1,2,5,8,11,14,17
using the arithmetic sequence formula and Sum of an Arithmetic Sequence formula such that an =
a1 + d(n-1)...........where a1 = -1 and a2 = 2.
We can use this information to find the common sum ratio 'd' such that,a2 = a1 + d(2-1)2 = -1 + d(1)...........Then add 1 to both sides to get 3
= We do not need d to find the sum but i decided to show you how to find 'd' in case you needed to find the nth term.
The Sum Formula yields,Sn = n(a1 + a7) / 2,
where n is the number if terms which is 7 in this case, right ?
Then we plug in the first and seventh terms for a1 and a7 such that=
S(7)=
(7)(-1+17) / 2 = (7)(16/2) = (7)(8) = 56
I hope this helped!
Aliyyah.
can y’all help me I know it’s easy but still 2×5.6÷2.8+3.5
Answer:
7.5
Step-by-step explanation:
Please Help!!!!!!!!!!!!!!!!!!!!!
Will mark BRAINLIEST
Answer:
○ [tex]\displaystyle -6m(m - 4)(m - 6)[/tex]
Step-by-step explanation:
[tex]\displaystyle 6m^3 - 60m^2 + 144m \\ 6m[m^2 - 10m + 24m] \\ \\ \boxed{6m[m - 4][m - 6]}[/tex]
I am joyous to assist you at any time.
What is the mean for the following set of data, to the nearest whole number?5, 9, 15, 18, 2213171415
sorry but the digits after 18 are unclear. are they singular or going together in 2s or is it one big number?
Write and solve an equation to find x.
Answer:
10x+70=180
x=11
Step-by-step explanation:
(3x+28)+(5x+52)+(2x-10)=180⁰
3x+28+5x+52+2x-10=180
10x=180-70=110
x=110/10=11
Ally had $18.25. She earned $2.45 for walking her neighbor's dog. She then spent $2.55 on candy and pop. After this, she gave 1/5 of her money to her mom. How much money did she give to her mom?
Answer:
$3.63
Step-by-step explanation:
because at first ally had 18.25 dollars. she got 2.45 dollars more, then spent $2.55. later, after spending the money, she gave 1/5 of the money to her mom.
(18.25+2.45-2.55)*1/5
=3.63
TRUE OR FALSE
One way of determining the limit of transcendental function is by using table
of values and graph.
Answer:
i think its true
Step-by-step explanation:
I searched it up and there's videos on how to solve them so im guessing that it's true if there's ways to determine them.
A pet store has 10 puppies that are breed A and 10 puppies that are breed B. The weights of the puppies to the nearest pound are shown in the dot plots.
Which statement is true based on the data given in the dot plots?
A The puppies of breed A are generally heavier than the the puppies of breed B.
b
The puppies of breed B are generally heavier than the the puppies of breed A.
c
The weights of the puppies of breed A are more spread out than the the weights of the puppies of breed B.
d
The weights of the puppies of breed B are more spread out than the the weights of the puppies of breed A.
Answer:
the answer is b
Step-by-step explanation:
on data plot b the breed b puppies are heavier than breed a puppies
How long is the arc intersected by a central angle of StartFraction 5 pi Over 3 EndFraction radians in a circle with a radius of 2 ft? Round your answer to the nearest tenth. Use 3. 14 for Pi. 2. 6 ft 7. 0 ft 10. 5 ft 31. 4 ft.
The length of the arc of the circle with a radius of 2 ft and the angle made at the centre equal to [tex]\dfrac{5\pi}{3}[/tex] is 10.5ft.
What is the length of the arc of a circle?The length of the arc of a circle is equal to the product of the circumference of the circle and the ratio of the angle made by the arc of the circle to 2π. It is given by the formula,
[tex]\text{Length of the arc}= 2\pi r\times \dfrac{\theta}{2\pi}[/tex]
It is given that the radius of the circle is equal to 2 ft while the angle made by the arc at the centre of the circle is equal to [tex]\dfrac{5\pi}{3}[/tex]. And we know the formula for the length of the arc, therefore, the length of the arc,
[tex]\text{Length of the arc}= 2\pi r\times \dfrac{\theta}{2\pi}[/tex]
[tex]= 2\pi \times 2 \times \dfrac{\frac{5\pi}{3}}{2\pi}\\\\= 10.471 \approx 10.5\rm\ ft[/tex]
Hence, the length of the arc of the circle with a radius of 2 ft and the angle made at the centre equal to [tex]\dfrac{5\pi}{3}[/tex] is 10.5ft.
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Answer:
C or 10.5 ft
Step-by-step explanation:
Jake wants to know if his basketball team has gotten better. Last season, Jake's team won 10 out of 20 games. This season, his team won 15 out of 25 games. Which season had the greater ratio of games won to total games?
Answer:
This season
Step-by-step explanation:
Lowest Common Multiple (LCM) of 20 and 25 = 100
10/20 * 5/5 = 50/100 = 5/10
15/25 * 4/4 = 60/100 = 6/10
5/10 < 6/10
How many minutes are in
34 hours?
Answer:
60 x 34 = 2040 mins
Step-by-step explanation:
1hr = 60 min
34 hr = 60 x 34 = 2040 mins
Because one hour is equal to sixty minutes, in order to change the units you have to multiply the number of hours, 34, by 60.
[tex] \bold{34×60 = \underline{ \boxed{ \purple{ \bold{2,040}}}}} \\ [/tex]Thus, 34 hours in minutes = 2,040 min.
Lena has 1.6kg of sugar.She uses 470g for a cake.
How much sugar does she have left?
Answer: 1130 grams.
Step-by-step explanation:
She has 1130 grams remaining after converting 1.6kg to grams (160 0grams).
Answer:
1.13kgStep-by-step explanation:
=> 1 kilogram = 1000 gramsconvert into grams
=> 1.6 × 1000multiply 1000 by 1.6
=> 1600Now substract 470g from it
=> 1600 - 470subtract 470 from 1600
=> 1,130gconvert the g back into kg
=> 1130 ÷ 1000divide 1130 by 1000
=> 1.13kg