Answer:
Assuming the leak took 2 hours to fix, the original height of the pool is 5 feet.
Step-by-step explanation:
This is probably the most simple "high school" problem I've seen in a while. All you have to do is move the negative 0.25 to the other side to isolate x. That gives you 4.75 + 0.25, or 5 feet.
The original height of the water in the pool was 5 feet.
Given that there is leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours.
After the leak is fixed, the height of the water is 4.75 feet.
The equation 4.75 = x - 0.25 can be used to find x, the original height of the water in a pool.
we need to find the original height of water,
To find the original height of the water in the pool, we can use the given information and equation.
Let's break down the equation: 4.75 = x - 0.25
Here, x represents the original height of the water in the pool, and -0.25 represents the decrease caused by the leak.
The equation states that after the leak is fixed, the height of the water in the pool is 4.75 feet. This means that the final height (4.75 feet) is equal to the original height (x) minus the decrease caused by the leak (-0.25 feet).
To solve for x, we can isolate it on one side of the equation.
Adding 0.25 to both sides of the equation, we get:
4.75 + 0.25 = x - 0.25 + 0.25
Simplifying the equation, we have:
5 = x
Therefore, the original height of the water in the pool was 5 feet.
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Reflect
1. When you move the decimal point, how can you know whether you are
increasing or decreasing the number?
Answer:
If u divide a number the number will decrease
if u multiply the decimal number it will increase.
when multiplying u move the decimal point to the right
if u r dividing u move the decimal point left
how much u move depends on the number of zeros from the number u are dividing or multiplying
Step-by-step explanation:
Pls answer need soon help help
Answer:
14:8 = 7:4 =28:16
Step-by-step explanation:
equivalent ratio:
14:8 = 7:4 =28:16
g (x) =-3x-4
f (x)=x2-2
Find (g+f) (2)
Answer:
(-3x-4+x^2-2)(2)=(x^2-3x-6)(2)
=(2^2)-3(2)-6
=4-6-6
=-8
(x2 +2xy +y2)+(x2- 2xy + y2)=
Answer:
2x^2 + 2y^2
Step-by-step explanation:
Combine like terms.
(x^2 + 2xy + y^2) + (x^2 - 2xy + y^2) =
= x^2 + 2xy + y^2 + x^2 - 2xy + y^2
= x^2 + x^2 + 2xy - 2xy + y^2 + y^2
= 2x^2 + 2y^2
Answer:
2x^2 + 2y^2
Step-by-step explanation:
Are similar and congruent the same? please explain your answer
Answer:
Congruence essentially means that two figures or objects are of the same shape and size. Similarity means that two figures or objects are of the same shape, though usually not of the same size.
Step-by-step explanation:
Write a fraction whose equivalent decimal number is a terminating decimal. Write the equivalent decimal.
a. 1/4
b. 0.25
think long division
4 goes into 1 zero times
4 goes into 10 2 times with 2 left over.
bring down a zero
4 goes into 20 5 times
since a decimal was needed to show the quotient being less than 1, the quotient is 0.25
ya welcome bess frein
Answer:
Step-by-step explanation:
a. 1/4
b. 0.25
describe the sequence of transformation from f to g
How much would a 185 pound man weigh on the moon
Answer:
W(e) = 6.02(50) = 301 lbs
Step-by-step explanation:
BRAINLYEST AND 20 POINTS
For the given situation: Derek has $20 to spend on used books. Hardcover books cost $5 each and paperbacks cost $2 each. What equation in standard form determines the number x of hardcover books and the number y of paperback books he can buy? Select all the pairs that represent combinations of books that Derek can buy. Group of answer choices (2, 5) (0,10) (−2, 15) (3, 5/2) (1, 2/5)
Answer:
(0,10)
Step-by-step explanation:
All of the other answers dont make sense or are false so it makes (0,10) the only correct answer.
The equation represents the situation is 5x + 2y ≤ 20 so pair (2,5) and (0,10) is possible thus options (A) and (B) is correct.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
As per the given,
Hardcover books cost $5 each and paperbacks cost $2 each.
The number of hardcover books is x while paperbacks are y
Thus,
Total cost = 5x + 2y
5x + 2y ≤ 20
The x and y is the whole number so they will never be negative or in fractions.
Therefore, The pair which satisfies the above expression is (2,5) and (0,10).
Hence "The equation represents the situation is 5x + 2y ≤ 20 so pair (2,5) and (0,10) is possible".
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Can you please solve 8-7i/4i
Answer:
Exact Form: 25/4
Decimal Form: 6.25
Mixed number form: 6 1/4
Step-by-step explanation:
8-7i/4i
Cancel the common factor of i
8 - 7/4
To write 8 as a fraction with a common denominator, multiply by 4/4
8 x 4/4 - 7/4
combine 8 and 4/4
8 x 4 over 4 - 7/4
Combine the numerators over the common denominator.
8 x 4 - 7 over 4
Simplify the numerator.
25/4
Exact Form: 25/4
Decimal Form: 6.25
Mixed number form: 6 1/4
I am almost bankrupt asking the same question but....
1)If (a^2+1)/a=12,find the value of a^3 +(1)/a^3
2)If y-(1)/y=7 find the value for (y^6-1)/y^3
Answer:
If you understand how I solved a you can do B. Keep at it!
Step-by-step explanation:
What is the result of 2 divided by 4/10 ?1/5 4/5 5 20
The answer to this problem is 5.
Answer:
The answer is C) 5
What is 37 divided by 4
Answer:
9.25
Step-by-step explanation:
The quotient of 37 divided by 4 is 9 with a remainder of 2, or written as a mixed number, it is 9 2/4 or 9 1/2.
To solve 37 divided by 4 step by step:
Step 1: Divide the first digit of the dividend (37) by the divisor (4):
37 ÷ 4 = 9
Step 2: Multiply the quotient (9) by the divisor (4) to get the product:
9 × 4 = 36
Step 3: Subtract the product (36) from the dividend (37) to find the remainder:
37 - 36 = 1
Step 4: Bring down the next digit (0) from the dividend to the remainder:
Remainder: 10
Step 5: Divide the new number (10) by the divisor (4):
10 ÷ 4 = 2
Step 6: Multiply the new quotient (2) by the divisor (4) to get the product:
2 × 4 = 8
Step 7: Subtract the product (8) from the remainder (10) to find the new remainder:
10 - 8 = 2
Step 8: Since the remainder (2) is less than the divisor (4), we can stop here.
Therefore, the quotient of 37 divided by 4 is 9 with a remainder of 2, or written as a mixed number, it is 9 2/4 or 9 1/2.
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What are the missing parts that correctly complete the proof? Given: Point A is on the perpendicular bisector of segment P Q. Prove: Point A is equidistant from the endpoints of segment P Q. Image: A horizontal line segment P Q. A midpoint is drawn on segment P Q labeled as X. A vertical line X A is drawn. A is above the horizontal line. The angle A X Q is labeled a right angle. The line segments P X and Q X are labeled with a single tick mark. A dotted line is used to connect point P with point A. Another dotted line is used to connect point Q with point A. Drag the answers into the boxes to correctly complete the proof. Statement Reason 1. Point A is on the perpendicular bisector of PQ¯¯¯¯¯. Given 2. PX¯¯¯¯¯≅QX¯¯¯¯¯¯ Response area 3. ∠AXP and ∠AXQ are right angles. Response area 4. Response area All right angles are congruent. 5. AX¯¯¯¯¯≅AX¯¯¯¯¯ Reflexive Property of Congruence 6. △AXP≅△AXQ Response area 7. AP¯¯¯¯¯≅AQ¯¯¯¯¯ Response area 8. Point A is equidistant from the endpoints of PQ¯¯¯¯¯. Definition of equidistant Look below me
Answer:
These are the answers in order
Step-by-step explanation:
1. Definition of bisector
2. Definition of perpendicular
3. ∠AXP ≅ ∠AXQ
4. SAS Congruence Postulate
5. Corresponding parts of congruent triangles are congruent
The missing parts that complete the proof are;
2) Definition of a bisector.
3) Perpendicular Definition.
4) ∠AXP ≅ ∠AXQ
6) SAS Congruence Theorem.
7) Corresponding sides of 2 congruent triangles are congruent.
We are given that;Point A is the perpendicular bisector of PQ
Point A is equidistant from the endpoints of PQ.
2) We are told that PX = QX; Since A bisects PQ at X, it means it divides it into 2 equal parts. Thus, this id true because it corresponds with the definition of a bisector.3. ∠AXP and ∠AXQ are right angles; Since perpendicular means right angle or 90°, we can say that this statement is true because it corresponds with the definition of perpendicular.
4. All right angles are congruent; This simply means they are equal. Thus, the two right angles here ∠AXP and ∠AXQ are congruent. We can write this with congruency symbol as; ∠AXP ≅ ∠AXQ
6. △AXP≅△AXQ; This means that △AXP is congruent to △AXQ. From the diagram, we can see that AP = AQ and that QX = PX and that ∠AXP = ∠AXQ. This means 2 corresponding sides and one corresponding angle are equal and the congruence theorem this depicts is SAS Congruence Theorem.
7. AP = AQ; This is true because we are told A is equidistant from both P and Q. Also, from the SAS congruency theorem, we can say that the corresponding sides AP and AQ are congruent.
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Sabendo que as retas “a”, “b” e “c” são paralelas, calcule o valor de y
a)20 m
b)21 m
c)23m
d)24m
38.03 - 2.678
Brainliest!
Answer: 35.352
Step-by-step explanation: Have a blessed day!
Answer:
35.352
Step-by-step explanation:
Do you realize that this is why they invented calculators?
Tammy made a 6-ounce milkshake. Two-thirds of the milkshake was ice cream. How many ounces of ice cream did
Tammy use in the shake?
Answer: 4 ounces
Step-by-step explanation:
6 * (2/3) = 12/3 = 4 ounces
enter the area of the triangle in square units rounded to the nearest 10th
PLS PLS PLS HELP
Answer:
[tex]22cm {}^{2} [/tex]
Step-by-step explanation:
[tex]the \: area \: = \: \frac{1}{2} \times (bh) = \frac{1}{2} (4 \times 11) \\ = \frac{1}{2} (44) = 22 {cm}^{2} [/tex]
|x| +6>8 pls help its due by midnight
Answer:
x< -2 or x>2
Step-by-step explanation:
subtract 6 from both sides to get |x|>2.
From here, we know that x can either be negative or positive.
The positive version will just be the equation itself, or x>2
The negative version is that equation flipped, or x<-2
Answer:
Step-by-step explanation:
Move the constant to the right and then calculate then separate into your possible cases find the intersection then find the union
please help me i really dont understand
Answer:
48
Step-by-step explanation:
Which equation correctly applies the distributive property?
70+2.028=(70⋅2)+(70⋅0.02)+(70⋅0.008)
−1.5⋅(6⋅1.25)=(−1.5⋅6)⋅1.25
−2.5⋅0.6⋅5.8=−2.5⋅5.8⋅0.6
(0.7⋅0.7)+(0.7⋅0.9)+(0.7⋅0.2)=0.7⋅(0.7+0.9+0.2)
Answer: Answer is A
Step-by-step explanation:
Hope this helped:)
what is 9x + 20y = −18
The holcombe family went out to dinner the meal cost 54.65 the sales tax is 8 peecent the tip was 18 percent of the meal and tax there are 5 people in the holcomebe family what was the cost per person for the meal including sales tax and tip
Answer:
13.93
Step-by-step explanation:
Meal = 54.65
Sales tax = 8%
= 8/100 * 54.65 + 54.65
= 0.08 * 54.65 + 54.65
= 4.372 + 54.65
= 59.022
Tip = 18% of the meal and tax
= 18/100 * 59.022 + 59.022
= 0.18 * 59.022 + 59.022
= 10.62396 + 59.022
= 69.64596
Total people in the holcomebe family = 5
Cost of meal per person =
69.64596 / 5
= 13.929192
Approximately 13.93
Please help ASAP!! Thanks
Answer:1.5
Step-by-step explanation:
2x(x^3-8)
X^2+7x+10=0
2nd term in expansion of (y-2x)^4
Answer:
10.7
Step-by-step explanation:
answer for immediate brainliest
Answer:
some
Step-by-step explanation:
Answer:
Some, since naturals number are essentially counting numbers / any whole number excluding zero: 1, 2, 3, 4, 5, 6, 7, ............
For instance, you can't have 0 of a person so natural numbers can represent a set of people.
multiply to -40 add to -18
Answer:
[tex]multiply \\: to \: \\ -40 \: add \: to \: -18 \: = \: - 40x + ( - 18)[/tex]
Which is the graph of arctan(x)?
On a coordinate plane, a function approaches x = negative StartFraction pi Over 2 EndFraction, has an inflection point at (0, 0), and approaches x = StartFraction pi Over 2 EndFraction. The function repeats at increments of pi on the x-axis.
On a coordinate plane, a function approaches y = negative StartFraction pi Over 2 EndFraction, has an inflection point at (0, 0), and approaches StartFraction pi Over 2 EndFraction.
On a coordinate plane, a function approaches the y-axis in quadrant 1, has an inflection point at (StartFraction pi Over 2 EndFraction, 0), and approaches x = pi. The function repeats at increments pi on the x-axis.
On a coordinate plane, a function approaches y = pi, has an inflection point at (0, StartFraction pi Over 2 EndFraction), and approaches the x-axis in quadrant 1.
Please see attached below:
Answer:
First graph (see below)
Step-by-step explanation:
The graph of the arctan(x) is the first graph attached, see below. This is because if you were to plug in the equation in any TI calculator, you would get this graph.
2. How many batches can you make
with 15 cups of flour and 6
teaspoons of vanilla? Indicate the
additional batches by adding more
ingredients to your diagram.
Answer:
3 batches
Step-by-step explanation:
Knowing that GB is 18 and CD = 21 you should be able to use them to solve this problem.
9514 1404 393
Answer:
FG = 9BF = 27GD = 7CG = 14Step-by-step explanation:
Point G is the intersection of medians, the centroid. That point divides each median into parts with a 2:1 ratio. The "2" part is the distance between the centroid and the vertex. The "1" part is the distance between the centroid and the side.
FG : GB : BF = 1 : 2 : 3 = 9 : 18 : 27 . . . . . where 18 is given
GD : CG : CD = 1 : 2 : 3 = 7 : 14 : 21 . . . . . where 21 is given