Answer:
76x2 = 152
280 - 152 = 128
128 ÷ 2 = 64
Answer:
the width is 64cm
Step-by-step explanation:
a rectangle has 4 sides, each set of opposite sides are congruent, perimeter is the distance around an object, so we need to add up all 4 sides and it should equal 280cm, we know one side is 76, so our equation should look as follows:
76 + x + 76 + x = 280
2x + 152 = 280
2x = 128
x=64
you can check the answer but substituting 64 for x and seeing if it comes out to 280
76+64+76+64=280
280=280
Solve:
Write your answer in the following format:
(x,y)
with no spaces.
Answer:
it 10 because if x =9 then y=10
Find the surface area of the following figure.
Answer:
[tex]\boxed{\textsf{\pink{ Hence the TSA of the cuboid is $\sf 32x^2$}}}.[/tex]
Step-by-step explanation:
A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,
From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .
We know the area of square as ,
[tex]\qquad\boxed{\sf Area_{(square)}= side^2}[/tex]
Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .
Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,
[tex]\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies\boxed{\sf TSA_{(cuboid)}= 32x^2}[/tex]
Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .
[tex]\sf\implies 5x = l \\\\\sf\implies x = \dfrac{l}{5} \\\\\qquad\qquad\underline\red{ \sf Similarly \ breadth }\\\\\sf\implies b = 3x \\\\\sf\implies x = \dfrac{ b}{3}[/tex]
[tex]\rule{200}2[/tex]
Hence the TSA of cuboid in terms of lenght and breadth is :-
[tex]\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies TSA_{(cuboid)}= 20\bigg(\dfrac{l}{5}\bigg)^2+12\bigg(\dfrac{b}{3}\bigg) \\\\\sf\implies TSA_{(cuboid)}= 20\times\dfrac{l^2}{25}+12\times \dfrac{b^2}{9}\\\\\sf\implies \boxed{\red{\sf TSA_{(cuboid)}= \dfrac{4}{5}l^2 +\dfrac{4}{3}b^2 }}[/tex]
f(x) = (x + 3)*(x + 1)
PLZ help me on coordinate work
Answer:
M: (-12,-19) N:(20,5)
Step-by-step explanation:
M: Find the distance of the opposite side to angle N to figure out the distance of the same side of the side with angle M.
20-(-3)= 23
Use the distance to find the coordinates.
-4+23= 19
N: Find the distance of the opposite side to angle M to figure out the distance of the same side of the side with angle N.
-12-(-3)=-9
Use the distance to find the coordinates.
-4+9= 5
Answer:
N=(20,5)
M=(-12,19)
Step-by-step explanation:
Rectangular Coordinates
The diagram shows two identical and rotated triangles (assumed as right triangles).
We can visually identify there is a hypotenuse, a shorter leg, and a longer leg on each triangle.
The longer leg on the triangle at the left is the one that passes through (-12,-4) and M and should have the same length as the leg on the triangle at the right that passes through (-3,-4) and (20,-4). Subtracting the x-coordinates of these points we have its length = 20 - (-3) = 23.
The coordinates of M are (-12,y), where y = -4+23 = 19.
M=(-12,19)
The shorter leg has a length calculated as the difference in the x-coordinates of (-12,-4) and (-3,-4). L= -3+12 = 9.
The coordinates of N are (20,-4+9) = (20,5)
N=(20,5)
A national rental car company purchased compact and midsize cars.
The company budgeted $14,000,000 to buy a minimum of 650 cars altogether.
The company did not exceed their budget.
The company paid an average of $13,000 for each compact car and $28,000 for each midsize car.
Which system of inequalities represents all possibilities for the number of compact cars,c, and the number of midsize cars, m, that could have been bought?
{c+m≥65028,000c+13,000m≤14,000,000
{m+c≥65028,000m+13,000c≤14,000,000
{m+c≤65028,000m+13,000c≥14,000,000
{c+m≤65028,000c+13,000m≥14,000,000
Answer:
B
Step-by-step explanation: 100%
A television cost $300.What is the total cost if the sales tax is 6.5%?
Answer:
319.5
Step-by-step explanation:
6.5% x 300 = 0.065 x 300 = 19.5
300+ 19.5 = 319.5
Answer:
319.50
Step-by-step explanation:
The usual price of a sweatshirt is $18, what is its sale price?
Answer:
I feel like there is more to that question can you put the whole question
Pls help quick number 2 and 3 pls!
Answer:
y=c (468) =e _24 the answer
Answer help need answer now plz help
Answer:
I think the answer is A
maybe it's right
find the mean of the set of the numbers given 25,20,23,22
Answer:
The Mean of the set of the numbers x⁻ = 22.5
Step-by-step explanation:
Given a set of the numbers
25,20,23,22
Mean of the given data
∑x/n
Mean of the given data
[tex]\frac{25+20+23+22}{4} = \frac{90}{4} = 22.5[/tex]
The Mean of the set of the numbers x⁻ = 22.5
10 x to the 5th power
Answer:
I am on my phone and this is kinda confusing and I don't know if your asking 10x^5 or 10^5 but the answer would be
100,000 if it is 10 to the 5th power
If it is 10x to the 5th power then it's 100,000x
Step-by-step explanation:
I hope that helps :) explanation and answer is up!
Answer:
100000x
Step-by-step explanation:
When you do anything to a positve power, the decimal point goes to the right, if its negative to the left
bracelet: $84, 18% off what is the new price?
Answer:
$15.12
Step-by-step explanation:
You need to just search u p 18% of 84 or 84% of 18
some body help me for find the answer thank you
Answer:
Step-by-step explanation:
As similar triangle hence their correspondiing sides will be proportional,
let the side we want to know is x,
18/x = 11.2/40
x = 18*40/11.2
x= 64.3
• Explain why 3 + x and x + 3 are equivalent.
Answer: Becuase of the communitive property
Step-by-step explanation:
For example say you have 5 + 6
5 + 6 = 11
6 + 5 =11
no matter how you flip it, it's always the same
9. There are a total of 400 balls in a box. Sixteen percent (16%) of these are red, 21% are
blue, 8% are yellow and the rest are white. How many white balls are there in the box?
a. 45
b. 55
C. 140
d. 220
Step-by-step explanation:
your answer is D 220 white balls.
mZGCD = 7x – 3, mZBCG = 100°
and mZBCD = 18x - 2. Find x.
G
D
B
Answer:
x = 9
Step-by-step explanation:
BCD - GCD = BCG
BCG = 100
18x - 2 - (7x - 3) = 100
18x - 2 - 7x + 3 = 100
11x + 1 = 100
11x = 99
x = 9
2. Ashton is x years old. Bentley is 2 years older than Ashton. Three times Bentley’s age is equal to 18. The purpose of this exercise is to check your understanding on setting up equations and showing the steps to solving a simple equation. (c) Use the information above to set up another equation or expression and solve to show old Bentley is.
thank you!
Answer:
the awnser is that Bently is 6 And Ashton is 4
Step-by-step explanation:
the reason I get this awnser is because it says that bently is 2 years older than Ashton and 3 times so you think what can be times 3 so the first awnser i got was 6 because 6 times 3 equals 18 so then I subtracted 2 from that to create the number of 6 for Bentley and 4 for Ashton
BRAINLIEST PLEASE1 poll
4-Jeremy drove 150 miles in three hours. At that rate, how far would he
drive in eight hours? *
Answer:
400 miles
Step-by-step explanation:
150 miles/3 hours=50 miles per hour
50 miles per hour x 8 hours=400 miles
helphelphelphelphelphelphelphelphelphelphelphelphelp
Step-by-step explanation:
just subtract everything
What is the formula for 3cm, 5cm, and 4cm (3cm being the height and the 4 the base) and its a right triangle
Answer:
No se perdon nesesito puntos
T-Shirt Costs 275 Total Cost Number of T-Shirts The cost of t-shirts varies directly with the number of t-shirts. The data is shown in the graph. If x = is number of t-shirts, and y = the cost which equation models of great varlation
Plz help will give brainliest answer
Answer:
hi girls
join
if you want to
s h o w. a n d. s e e
gxp-gqpo-hua
A rectangular courtyard has an area of 104 square yards. The length of the playground is 3 yards shorter than twice the width. Find the
length of the playground,
O 10 yards
O 15 yards
O 8 yards
O 13 yards
The length of the playground is 13 yards.
What is the area if the rectangle?A = l × w
where 'l' represents the length of the rectangle
'w' represents the width of the rectangle
For given example,
area of rectangular courtyard = 104 square yard
Let the length of the playground be l cm and the width be w cm.
Then, l = 2w - 3
The area of a rectangle is,
[tex]A=l\times w\\\\104=(2w-3)\times w\\\\104=2w^2-3w\\\\2w^2-3w-104=0\\\\w=\frac{-b\pm \sqrt{b^2 -4ac} }{2a} \\\\w=\frac{3\pm\sqrt{9-4(2)(-104)} }{4} \\\\w=\frac{3\pm\sqrt{841} }{4} \\\\w=\frac{3\pm29}{4}\\\\w=\frac{3+29}{4} \text{ or } w=\frac{3-29}{4}\\\\w=\frac{32}{4}\\\\w=8\\\\[/tex]
So, the width of the playground is 8 cm.
Now, we find the length of the rectangular playground.
[tex]l=2w-3\\\\l=2(8)-3\\\\l=16-3\\\\l=13~yards[/tex]
Therefore, the length of the playground is 13 yards.
Learn more about the area of the rectangle here:
https://brainly.com/question/20693059
#SPJ2
Marianne has a scarf that is 5 inches longer than it is wide. if the area of her scarf is 84 square inches. what are the dimensions of her scarf?
Answer:
The dimensions of Marianne scarf = 12 × 7 inches
The length of the scarf =12inches
The width of the scarf = 7 inches
Step-by-step explanation:
Step(i):-
Let 'x' be the width of the scarf
Given that the length of the scarf = x+5
The area of the rectangle = length × width
Given that the area of the rectangle (scarf) = 84 square inches
Step(ii):-
length × width = 84
(x+5) × x = 84
x² + 5x - 84 =0
x² + 12 x - 7 x - 84 =0
x(x+12) -7( x+12) =0
(x-7)(x+12) =0
x -7 =0 and x+12=0
x =7 and x= -12
Step(iii):-
We have to choose x =7
The length of the scarf = x+5 = 7+5 =12inches
The width of the scarf = x = 7 inches
A mechanical engineer is creating a new composite carbon fiber material made from two different materials. The strength of the carbon fiber material depends on how much pressure it can withstand, and it follows a standard normal distribution. The new carbon fiber material will be slated for research and development purposes if it can withstand more than 2.15 standard deviations above the mean of pressure compared to the individual materials. Fiber material that withstand less than 2.15 standard deviations above the mean of pressure when compared to the individual materials are not of research interest. What is the probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials
Answer:
0.9842 = 98.42% probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
What is the probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials
This is the pvalue of Z = 2.15.
Z = 2.15 has a pvalue of 0.9842
0.9842 = 98.42% probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials
The following data represent highway fuel consumption in miles per gallon (mpg) for a random sample of 55 models of passenger cars (Source: Environmental Protection Agency). 30 27 22 25 24 25 24 15 35 35 33 52 49 10 27 18 20 23 24 25 30 24 24 24 18 20 25 27 24 32 13 13 21 2 37 35 32 33 29 3 28 28 25 29 31 For this problem, use five classes. (a) Find the class width. (b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies. (Give relative frequencies to 2 decimal places.) Class Limits Midpoint Freqeny Relative |Cumulative (c) Draw a histogram.
Answer:
11 ;
Step-by-step explanation:
Given the data:
30 27 22 25 24 25 24 15 35 35 33 52 49 10 27 18 20 23 24 25 30 24 24 24 18 20 25 27 24 32 13 13 21 2 37 35 32 33 29 3 28 28 25 29 31
Number of classes = 5
Class width : Range / number of classes
Class width = (maximum - minimum) / 5
Class width = (52 - 2) / 5 = 50/5 = 10 + 1 = 11
For the frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies and histogram
Kindly check attached picture
A triangle has side lengths
that measure (3x + 4), (7x
+ 5) and (2x - 1). If the
perimeter of the triangle is
greater than or equal to 74,
what are the possible
values of x?
Answer:
x is greater or equal to 5.5
Step-by-step explanation:
Select the functions that are equivalent to P(t) = 76529( 1.21), where t is time in
years.
P(t) = 76529(1.049)4t
P(t) = 76529(1.032) 6t
P(t) = 76529(1.00834) 2t
P(t) = 76529(102.1)
21
P(t) = 76529 1.212
P(t) = 76529(1.016)121
P(t)=75529(1.21 1/2)2t
P(t)=76529(1.016)12t
Answer:
Step-by-step explanation: have a good one
The two-way table shows the ages of the players on different soccer teams.
Answer:
3rd one down is the answer
Solve for v 29 = -8v - 7 + 5v Simplify your answer as much as possible
Answer:
v = -12
Step-by-step explanation:
29 = -8v - 7 + 5v
Combine the 'like terms':
29 = (-8v + 5v) - 7
29 = -3v -7
Add 7 to both sides:
29 + 7 = -3v -7 +7
36 = -3v + 0
36 = -3v
Divide both sides by the coefficient in front of the variable 'v' because we want to get 'v' all by itself. So, divide by -3.
36/-3 = -3v/-3
-12 = v
And that is the answer, v is negative twelve
Answer:
v=
Step-by-step explanation:
29= -8v- 7 + 5v
-8v + 5v - 7 = 29
-3v - 7 = 29
-3v - 7 + 7 = 29 + 7
-3v = 36
-3v ÷ -3 = 36 ÷ -3
v = -12
374x+3=2995 ME GIVE BRAIN I MUST DO MY HOMEWORK you lifesaver...
Hi there!
x=8
1.Subtract the answer with the 3 / subtract the terms:
[tex]2995-3=2992[/tex]
2.Divide the two terms:
[tex]2992*374=x[/tex]
Therefore, x=8