Answer:
Step-by-step explanation:
You want to get x on one side and the constants on the other. First subtract both sides by 3x to get:
-29 = 3x - 7
Now add 7 to both sides to get:
-22 = 3x
Divide each side by 3 to get:
x = -22/3
which is the best estimate for the number of times the coin will land up 10 20 50 80 100
The measure of an angle is seventy-four times the measure of its supplementary angle. What is the measure of each angle?
x = measure of the angle
180 - x = measure of supplement {supplementary angles add up to 180}
x = 74(180 - x) {measure of the angle is 174 times the supplement}
x = 13,320 - 74x {used distributive property}
75x = 13,320 {added 74x to each side}
x = 177.6 {divided each side by 177.6}
the angle is 177.6
the supplement is 2.4
The length of a rectangular garden is 5 feet less than 4 times its width. Its area is 359 square feet. Find the length and width of the garden. Round answers to the nearest tenth of a foot. Show all work.
Given parameters:
Area of the rectangular garden = 359ft²
Unknown:
length and width of the garden = ?
To find the length and breadth of the garden, we need to define and know that the area of a rectangle is.
Area of a rectangle = Length x Breadth
From the problem statement;
Let w = width of the rectangular garden
L = length of the garden;
Now,
length of a rectangular garden is 5 feet less than 4 times its width
L = 4w - 5
Now let us substitute this into the equation;
Area = L x w
359 = (4w - 5)w
4w² - 5w - 359
Using:
w = -b ± √b² - 4ac / 2a
where b = -5 , a = 4 and c = -359
w = -(-5) ± √-5² - 4(4)(-359) / 2(4)
w = 5 ± √25 + 5744 / 8
w = 5 ± 75.9 / 8
w = [tex]\frac{5 + 75.9}{8} or \frac{5 - 75.9}{8}[/tex]
w = 10.1ft
The other solution is not possible it will be a negative value. Width value cannot be negative.
So L = 4w - 5 = 4(10.1) - 5 = 35.5ft
The length and breadth of the rectangular are 35.5ft and 10.1ft respectively.
Rename 8/9 and 7/18 using the least common denominator.
Answer:
LCD = 18
8/9 = 16/18
7/18 = 7/18
Step-by-step explanation:
This is the answer because:
1) First, the least common denominator is 18 because 9 x 2 is 18 and 18 x 1 is 18
2) Next, multiply the numerators with the same number you multiplied with the denominator
8 x 2 = 16
7 x 1 = 7
3) Therefore, the answers are:
8/9 = 16/18
7/18 = 7/18
Hope this helps!
If you need to divide 2/3 by 4/5 , why is it easier to use an equation than to use a model
What is the value of (x2+ y 2) + 2 when x = 4 and y = 6?
Answer:
22
Step-by-step explanation: put the four where the x is and multiply it by two and you get 8. Do the same with 6 where the y is and you get 12. add those two together and you get 20. The add the two out of the perentesis and get 22. (brainlist plz)
I need the answer plzz
Answer:
25
Step-by-step explanation:
h hff DJ function schmitz ojos s la plz PC
1.7(k - 0.3) = 6.7k = 32.01
The school store sells pencils at 24 for $3.00. Compute both unit rates and explain what each means.
Answer:
For $1.00 you can get 8 pencils
Step-by-step explanation: 24/3= 8
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what is an equation of the line that passes through the point (8,2) and is parallel to the line 5x-4y=36
Answer:
y=5/4x-8
Step-by-step explanation:
put ito slope intercept form and then using the slope put y intercept in order for it to be true
The required equation of line will be y = 1.25x - 8.
It is given that a line passes through a point (8,2) and is parallel to the line 5x - 4y= 36.
We have to find out the equation of the line.
What is the general equation of a line ?
The equation of a line is y = mx + c , where m = slope of line.
As per the question ;
The line is parallel to another line 5x -4y = 36.
∴ 5x - 4y = 36
4y = 5x - 36
diving by 4 on both sides ;
y = (5/4)x - (36/4)
y = 1.25x - 9
After comparing with the general equation of a line y = mx + c. We found that value of slope m = 1.25.
So, the parallel line will have the same slope.
∴ y = 1.25 x + c
As the line passes through point (8,2) , hence x = 8 and y =2. After putting this value in the above equation we get ,
2 = 1.25 × 8 + c
∴ c = 2 - 10 = - 8
c = - 8
And the final equation of the line will be ,
y = 1.25 x - 8.
Thus , the required equation of line will be y = 1.25x - 8.
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This is due soon solve asap please.
Answer:
Home to school through mall: 11 miles
Home to school through theater: 13 miles
Step-by-step explanation:
The route from home to school that passes the mall is x + 1 + x + 2 = 2x + 3.
The route from home to school that passes the theater is 2x + 1 + x = 3x + 1.
The route from home to school that passes the mall is 2 miles shorter than the route that passes by the theater.
2x + 3 = 3x + 1 - 2
2x + 3 = 3x - 1
-x = -4
x = 4
Home to school through mall:
2x + 3 = 2(4) + 3 = 11
Home to school through theater:
3x + 1 = 3(4) + 1 = 13
Answer:
Home to school through mall: 11 miles
Home to school through theater: 13 miles
in need the proofs and statements
Answer:
Since we are given that angle Y = angle Z
The magnitude of the angles will also be equal
∠Y = ∠Z
(x + 10) = (2x - 90)
90 + 10 = 2x - x
100 = x
When solving a multi-step equation, which number do you "undo" first? Choose ONE answer.
A. The number on the opposite side of the equals side from the variable
B. The number furthest from the variable (but on the same side of the equals sign)
C. order doesnt matter - choose which you want to do first
D. the number touching the variable
Answer:
C. Order doesnt matter - choose which you want to do first
Step-by-step explanation:
When solving multi step equations, there are different steps that can be followed depending on the nature of the equation. There could be variables on only one side or both sides of the equation and that can affect the order of operations. Thus, there is no standard order.
For example let's consider the equation;
7y + 6 = 2y + 16
Now,we can see there are variables on both sides, so the first step would be either to take the constants to one side first or to take the unknown variables to one side.
Whereas, in another example say;
5x - 3 = 7
The only option here is to take the constant on the left side to the right side.
There are other examples where we may have to carry out a division of all terms as the first step. In some other cases, there may be brackets, we need to get rid of as the first step.
Thus, there is no standard order and as such we choose which order we want to use based on the nature of the equation.
What is the absolute value of |-18|
Answer:
18
Step-by-step explanation:
Isabel bought a suit on sale for $561. This price was 34% less than the original price.
What was the original price?
Answer:
751.74
Step-by-step explanation:
561*.34=190.74
561+190.74=751.74
Answer
The suit being 27% less than the original also means he paid 73% of the original price (x). So,
0.73x=561
x=561/0.73
x=409.53
Original price was 409.53. Fancy suit. Step-by-step explanation:
there you go...
Each batch of Blueberry Breakfast Treats will make 12 muffins. Mrs. Penney wants to make enough muffins for each of the 35 students in her math club and herself to have one.
Blueberry Breakfast Treats
Number of Batches
1
2
3
4
Cups of Blueberries
Three-fourths
--
--
--
On a coordinate plane, a graph titled Blueberry Breakfast Treats has batches on the x-axis and Blueberries on the y-axis. Points A is (2, 1.5), point B is (2.6, 2.25), point C is (3, 2.25), point D is (4, 3).
If she does not want any leftovers, which point should Mrs. Penney use to determine the amount of blueberries she will need to make her muffins?
A
B
C
D
Mark this and return
Answer:
Step-by-step explanation:
it b
!!!URGENT!!!
In order to ride a roller coaster, a person must be at a minimum height of 54 inches. The maximum height is 74 inches. Write an absolute value equation that represents the minimum and maximum heights.
The photo attached shows the possible answers.
Answer:
C
Step-by-step explanation:
Two equations and workout the answer
Answer two questions about Equations A and B:
A.
42 +2 = 6 - 2
B.
52 + 2 = 6
1) How can we get Equation B from Equation A?
Choose 1 answer:
Answer:
B. Add/subtract the same quantity from both sides.
in this case, it would be adding x to both sides to simplify the equation.
Answer: ADD/SUB THE SAME QUANTITY TO/FROM BOTH SIDES
YES: THEY ARE EQUIVALENT
Step-by-step explanation:
Ratio of dolls to teddy bears is 6:5. There are 240 dolls, how many teddy bears?
Answer:
nusfj
Step-by-step explanation:
fsdafsf
F is between E and G. Find FG if EG = 25, EF= 2x – 6 and FG = 4x + 7
Answer:
23+ 37 = 42
the EG is congruent to the FA and therefore have to dividee the value to get 302
FG = 23 is our answer.
Given,
F is between E and G.
EG = 25
EF= 2x – 6
FG = 4x + 7.
We have to find FG.
We have,
F is between E and G.
So,
EG = EF + FG
We can find FG.
EG = EF + FG
25 = 2x - 6 + 4x + 7
25 = 6x + 1
25 - 1 = 6x
24 = 6x
x = 4
So,
Putting x = 4 in FG = 4x + 7.
FG = 4X + 7 = 4 x 4 + 7 = 16 + 7 = 23
Thus FG = 23.
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Graph the inequality: y
True or false in order of operations Wyndham motivations and division Multiplication always comes first
Answer:
True but are you talking about first of everything or before something else because if it's the first of everything the answer is false.
hiw many 2/3 are in 2 1/3
Answer:
3.5
Step-by-step explanation:
2 1/3 is equal to 7/3 and 2 goes into 7, 3.5 times.
Answer:
there are 3 2/3 in 2 1/3 with 1/3 left over
Step-by-step explanation:
Hope this helps.
Have a nice day :)
Can you give me brainliest plz :)
Solve for the variable: x – 12 = 3
Answer:
x=15
Step-by-step explanation:
add the 12 to the other side
x-12=3
and you will get 15
x=15
there are 11 oranges, 6 apples, 9 bananas and 13 peaches on the table, what is the probability picking an orange
Answer:
11 out of 39
Step-by-step explanation:
Answer:
\frac{11}{39}
39
11
Step-by-step explanation:
There are 39 fruits in all.
11 + 6 + 9 + 13= 3911+6+9+13=39
Therefore, there would be 39 total events.
There are 11 preferred events, as there are eleven oranges out of the 39 fruits.
\frac{preferred}{total} =\frac{11}{39}
total
preferred
=
39
11
So, there should be a 11/39 chance that a person would pick an orange.
\frac{11}{39}
39
11
is already in it's lowest terms
Find the sum. 60 (3n - 4) n=1 The sum is
Answer:
-60
Step-by-step explanation:
3x1=3
3-4=-1
60 x -1 = -60
write the prodect 7 times 7 times 7 times 7 in exponential form
Answer: 7⁴ I believe
A. Describe how each student might have reached his or her conclusion. Is each student’s conclusion valid? Explain.
Answer: Conclusion validity is the degree to which conclusions we reach about relationships in our data are reasonable.
Step-by-step explanation:
6.) The length of a rectangle is 19 feet longer than the width. If the perimeter is 46
feet, write an equation for this scenario where "x" represents the width.
Step-by-step explanation:
The perimeter can be expressed as
P=2L+2W
let the width be x
W=x
L=x+19
perimeter P=46ft
Therefore substituting and solving for x we have
46=2(x+19)+2x
46=2x+38+2x
46=2x+2x+38
46-38=4x
8=4x
x=8/4
x=2
the width is 2
the lenght = 2+19=21
You buy 3.18 pounds of pears, 1.45 pounds of oranges , and 2.79 pounds of peaches what is your total bill
pears-0.99 per pound
oranges-1.19 per pound
peaches-1.29 per pound (round to the nearest cent)
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Step-by-step explanation:
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