Answer:
x = -1
Step-by-step explanation:
3(x+1) = -2(x-1) - 4 (Use the distributive property on both sides)
3x + 3 = -2x + 2 - 4 (collect like terms on the right side)
3x + 3 = -2x - 2 ( add 2x on both sides)
5x + 3 = -2 ( subtract 3 on both sides)
5x = - 5 (divide by 5 on both sides)
x = -1
Find the surface area of the prism
Answer:
SA = 5645cm²Step-by-step explanation:
We have three pairs of congruent rectangles
9cm × 4m; 9cm × 5cm and 4m × 5cm
We know 1m = 100cm, therefore 4m = 400cm
The formula of an area of a rectangle l × w:
A = l · w
Substitute:
A₁ = 9cm · 4m = 9cm · 400cm = 3600cm²
A₂ = 9cm · 5cm = 45cm²
A₃ = 4m · 5cm = 400cm · 5cm = 2000cm²
Calculate the surface area:
SA = A₁ + A₂ + A₃
SA = 3600cm² + 45cm² + 2000cm² = 5645cm²
Answer:
202cm²
Step-by-step explanation:
2×(5×9)+2(4×5)+2(9×4)
90+40+72=202cm²
If 4 batches of muffins and 5 loaves of bread are baked, how much flour will be left? Give your answer in kilograms. b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour? Explain your answer.
This question is Incomplete
Complete Question
The bakery bought 4 bags of flour containing 3.5 kg each. 0.475 kg of flour is needed to make a batch of muffins, and 0.65 kg is needed to make a loaf of bread.
a. If 4 batches of muffins and 5 loaves of bread are baked, how much flour will be left? Give your answer in kilograms.
b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour? Explain your answer.
Answer:
a. 8.85kg of flour is left.
b. 2.95 bins
Step-by-step explanation:
The bakery bought 4 bags of flour containing 3.5 kg each.
Total kg of flour the Bakery bought : 4 × 3.5kg
= 14 kg of flour
0.475 kg of flour is needed to make a batch of muffins
1 batch of muffin = 0.475kg of flour
4 batches of muffins = ???
Cross Multiply
4 batches × 0.475kg/ 1 batch
= 1.9kg of flour was used.
0.65 kg is needed to make a loaf of bread.
1 loaf of bread = 0.65kg of flour
5 loaves of bread = ???
Cross Multiply
5 loaves × 0.65/1 loaf
= 3.25 kg of flour.
Total kg of flour used = 1.9kg + 3.25kg
= 5.15kg of flour.
The amount of flour left = 14kg - 5.15kg
= 8.85kg of flour is left.
b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour?
3 kg of flour is stored = 1 bin
8.85 kg of flour is stored = x
Cross Multiply
3kg × x = 8.85kg × 1 bin
x = 8.85 kg × 1 bin/3kg
x = 2.95 bins
The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = − 15 x ( x − 8 ) P(x)=−15x(x−8)P, left parenthesis, x, right parenthesis, equals, minus, 15, x, left parenthesis, x, minus, 8, right parenthesis What current will produce the maximum power?
Given:
The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by
[tex]P(x)=-15x(x-8)[/tex]
To find:
The current which will produce the maximum power.
Solution:
We have,
[tex]P(x)=-15x(x-8)[/tex]
[tex]P(x)=-15x^2+120x[/tex]
Differentiate with respect to x.
[tex]P'(x)=-15(2x)+120(1)[/tex]
[tex]P'(x)=-30x+120[/tex] ...(i)
To find the extreme point equate P'(x)=0.
[tex]-30x+120=0[/tex]
[tex]-30x=-120[/tex]
Divide both sides by -30.
[tex]x=4[/tex]
Differentiate (i) with respect to x.
[tex]P'(x)=-30(1)+(0)[/tex]
[tex]P'(x)=-30<0[/tex] (Maximum)
It means, the given function is maximum at x=4.
Therefore, the current of 4 amperes will produce the maximum power.
Answer:
its 4 amperes
Step-by-step explanation:
khan said so
I need help3
Find the unit rate:
150 students for 5 classes. How many students per class?
Answer:
30
Step-by-step explanation:
150 divided by 5 is 30 i hope this helps
Answer:
The unit rate would be 30 students per class.
Step-by-step explanation: One way to find the unit rate in this scenario, we could divide the total students by the number of classes. (150/5) The simplified fraction would be 30/1, or 30 students per class. Hope this helps!
URGENT NEED HELP DUE IN 12 AM
Answer:
ASA
Step-by-step explanation:
you can prove it by using ASA (Angle Side Angle)
ASA is a postulate that states if two angles and one side are congruent to another triangle.
hope this helps :)
brainliest?
Answer:asa
Step-by-step explanation:
because it is lol
the quotient of n and 3 is less than 5
Solve for : x
6x+34+ 8x+14
my last one please helpp
Answer:
x = 10
Step-by-step explanation:
8x + 14 = 6x + 34 (vertically opposite angles are equal)
Rearrange
2x = 20
x = 10
Answer:
x=10
Step-by-step explanation:
So we know that they are equal to each other.
so 6x+34=8x+14
-6x
34=2x+14
-14
20=2x
/2
x=10
A submarine is situated 400 feet below sea level. If it drops another 250 feet below sea level, what is the new position?
Answer:
-650ft
Step-by-step explanation:
I took a test with a question like that
2/5(5k+35) -8 =12 please helpppppppp
Answer:
k =3
Step-by-step explanation:
2/5(5k+35) -8 =12
Add 8 to each side
2/5(5k+35) -8+8 =12+8
2/5(5k+35) =20
Multiply each side by 5/2
5/2 *2/5(5k+35) =20*5/2
5k+35 = 50
Subtract 35 from each side
5k+35-35 = 50-35
5k = 15
Divide by 5
5k/5 = 15/5
k =3
See attachment for math work and answer.
A kennel has 40 dogs and 10 cats. What is the ratio of cats to ALL of
the animals?
Answer:
1:5
Step-by-step explanation:
Write the equation of the line that passes through the points (-7,9) and (-7,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
It is a vertical line
Step-by-step explanation:
Find the slope using rise over run (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(1 - 9) / (-7 + 7)
-8/0
= undefined
Dividing by 0 gives you an undefined number. This means that the slope is undefined, and the line is a vertical line.
The equation of the line that passes through the points (-7,9) and (-7,1) is x = -7.
The point slope formula is represented below:
y - y₁ = m(x - x₁)where
m = slope
Let's find slope
(-7, 9)(-7, 1)
m = 1 -9 / -7 - (-7)
m = -8 / 0 = Undefined slope.
The slope is an undefined slope. Therefore, the line is a vertical line and cannot be written in a slope intercept or point slope form.
The equation of the line can be written as x = c.
where
c = constant
Therefore,
x = -7
The equation is x = -7
read more: https://brainly.com/question/19478605?referrer=searchResults
Find the standard form for the equation of the line which
passes through the point (9,-46) and which has a
y-intercept of – 1.
Answer: Well I believe the answer is Y= x - 55
Step-by-step explanation:Hope that works :)
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 35 pounds and each large box of paper weighs 65 pounds. There were 3 times as many small boxes shipped as large boxes shipped and the total weight of all boxes was 850 pounds.
Answer:
There were 15 small boxes shipped and 5 large boxes shipped.
Step-by-step explanation:
Let s = the number of small boxes shipped
Let l = the number of large boxes shipped
Each small box weigh 35 pounds, so (s) small boxes weigh 35s pounds. Each large box weigh 65 pounds, so (l) large boxes weigh 65l pounds. Therefore, the total weight 35s + 65l equals 850:
35s + 65l = 850
Since there were 3 times as many small boxes shipped as large boxes, there were MORE small boxes, so if we multiply 3 by the number of large boxes, we will get the number of small boxes, meaning s equals 3l
s = 3l
Write System of Equations:
35s + 65l = 850
s = 3l
Substitute value of s into the first equation:
35(3l) + 65l = 850
105l + 65l = 850
170l 850
__ = __
170 170
l = 5
Since l = 5, we know 5 large boxes were shipped.
Use l = 5 to solve for s:
s = 3l
s = 3(5)
s = 15
Since s = 15, we know 15 small boxes were shipped.
At a local store, bananas cost 0.54 per pound , apples cost 2.19 per pound , and oranges cost 1.55 per pound . Aaron bought 3 pounds of each how much money did Aaron pay for his fruit
$0.54 x 2.6 =$1.404
$1.28 x 3.1=$3.968
$1.404 rounds to $1.40
$3.968 rounds to $4
$4 = $ 1.40 = $5.40
:)
Answer:
$12.84
Step-by-step explanation:
to solve this you will just have to multiply the given prices by the three pounds and then add up all the fruits:
0.54 x 3 = 1.62
2.19 x 3= 6.57
1.55 x 3= 4.65
1.62 + 6.57 + 4.65 = 12.84
A recipe for servings of pudding calls for 2/3 cups of cream. How much cream is needed for 18 servings of
pudding?
Plz help
What is (16)-(11)7 in distributed property
Answer: I think you answer is -61 if not sorry
Step-by-step explanation:
Choole a line m that passes through point, P, and is parallel to linel.
Answer:
c
Step-by-step explanation:
Solve the following equation for x: 3x - 4 = 8
x=-2
x=-4
x=2
X=4
Answer:
1. Add 4 to both sides. 3x-4+4=8+4
2. Divide 3 from both sides. 3x/3=12/3
3. Solution. x=4.
Step-by-step explanation:
A collar maker earns $0.27 per collar. If he sews 55 collars,
then how much will he earn?
Answer:
14.85
Step-by-step explanation:
Answer: 14.85 dollars
Step-by-step explanation:
When you multiply .27 times 55 to see how much money he will make by sewing 55 collars, you will get 14.85 dollars.
How do you expect me to respect you when you don’t respect yourself
Answer:
You don't
Step-by-step explanation:
*Mind Blown*
how do you factor p^2-5p-36
Your answer will be:
(p - 9) (p + 4) in factored form.
Use segment addition postulate
If k is the midpoint of JL, JK=8x+11 and KL = 14x-1, find JL
The length between the bases on a baseball field is 90 feet. A scale drawing shows the distance between the bases are 2 1/2 inches. one inch on this drawing equals how many feet?
Answer:
36
Step-by-step explanation:
1/3 multiplied by -3/4
Answer:
-.25
Step-by-step explanation:
Answer:
-1/4
Step-by-step explanation:
The answer is -1/4 as 1/3x3/4 is 1/4, and as we have a negative number, the 1/4 flips to -1/4. Hope it helps!
12) Given A(9, 2), B(-1, y)
C.(-5, 16) and D(-8, 11),
find the value of y So
that AB is perpendicular CD
Answer:
y=8
Step-by-step explanation:
(y-2)/(-1-9)=(y-2)/-10 (11-16)/(-8-(-5))=-5/-3=5/3 Perpendicular slope is -3/5
(y-2)/10=-3/5 cross multiply 5(y-2)=3(10) 5y-10=30 add 10 to both sides
5y=40 divide both sides by 5 and y is equal to 8.
The value of y is 8 if AB is perpendicular CD after using the slope formula.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
A(9, 2), B(-1, y) C.(-5, 16) and D(-8, 11),
AB is the perpendicular CD
Using the slope formula to find the slope between A and B:
(y-2)/(-1-9)
= (y-2)/-10
(11-16)/(-8-(-5)) =
-5/(-3)
= 5/3
The perpendicular slope is -3/5
(y-2)/10=-3/5
5(y-2)=3(10)
5y-10=30
5y=40
y = 8
Thus, the value of y is 8 if AB is perpendicular CD after using the slope formula.
Learn more about the slope here:
brainly.com/question/3605446
#SPJ2
Michael took an online test to get his Learner's Permit to drive. He was on question number 18 and the progress bar said he was 20%. How many questions are on this test?
im sorry i couldnt figure it out
Step-by-step explanation:
what is −58+34 any one know?
Answer:
-24
Step-by-step explanation:
Answer:
-58 + 34 = -24
Step-by-step explanation:
You know what a number line looks like right? Well, you also know that the negative numbers are to the left of the middle of the line at point 0, and the positives are to the right of 0? So, -58 + 34, you would start at -58 and start counting (adding) 34. You do this by "subtracting" a positive 34 from the negative 58, so basically, you could just ignore the negative sign for now and just subtract the problem like this: 58 - 34 = 24. Since 34 is not greater than 58 and you have not "crossed" the middle (0) to get over to the positive side, the answer is still a negative number as your final answer. So, the answer is -58 + 34 = -24.
REMEMBER: On a number line, when you have a negative number and you have to add, you move to the right, or up (if you are doing a vertical line). When you are subtracting on a number line, you move left, or down (if you are doing a vertical line). P.S. I am using the number line example because this is how I add and/or subtract positives and negatives when I don't have a calculator at hand to give the me the answer.
Hope that was helpful and not confusing!!!
what percent is 52.52 million of 142 million
Answer:
37%
Step-by-step explanation:
Given parameters:
Total number = 142 million
Comparing number = 52.52 million
Unknown:
What percent is the number =?
Solution
The percentage;
= [tex]\frac{comparing number }{total number } x 100[/tex]
= [tex]\frac{52520000}{142000000}[/tex] x 100
= 37%
Answer:
dwadwdwa
Step-by-step explanation:
Which table shows a function that is increasing only over the interval (-2, 1), and nowhere else?
X
-3
-2
-1
0
1
2
f(x)
-6
43
-1
1
3
6
х
-3
-2
1-1
0
1
2
f(x)
-2
14
-1
1
4
3
х
L3
-2
-1
0
1
2
f(x)
-3
--5
--7
-6
1
-1
O
х
4-3
-2
-1
0
1
2
f(x)
5
7
1
0
-4
-2
Answer:
B
Step-by-step explanation:
How do you graph a piecewise defined function?
Answer:
hope it helps..
Step-by-step explanation:
1- Indicate on the x-axis the boundaries defined by the intervals on each piece of the domain.
2- For each piece of the domain, graph on that interval using the corresponding equation pertaining to that piece.