solve the equation for y.
xy-7y=49
The solution of the given equation xy-7y=49 for y is y = 49/(x-7) for all values of x not equal to 7.
To solve the equation xy-7y=49 for y, first we can factor out y from the left side of the equation which gives us y(x-7)=49.
Then we can isolate y by dividing both sides of the equation by (x-7).
This gives us y = 49/(x-7).
This solution assumes that x is not equal to 7 because division by zero is undefined.
Hence, the solution is y = 49/(x-7) for x ≠ 7.
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2 1/9 of what number is 76?
The value of the unknown number is 36. 2 1/9 of 36 is 76.
The is the value of the missing number?Given the parameter:
2 1/9 of what number is 76?
To solve for the unknown value, first, convert the mixed fraction to an improper fraction:
2 1/9 = ( 9×2 + 1 )/9 = 19/9
Now, we set up the equation:
Let 'x' represent the unknown number:
19/9 of x is 76
19/9 × x = 76
Solve for x:
19x/9 = 76
19x = 9 × 76
19x = 684
x = 684/19
x = 36
Therefore, the value of x is 36.
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Write an algebraic expression that illustrates the multiplicative identity.
10. Rosa received a monthly raise of $162.50. If this represented a 6.5% increase, what is her monthly salary after the raise?
Answer:
$137.5
Step-by-step explanation:
First, you need to divide $162.50 by 6.5
If you divide correctly you should get 25
Since that month she got an increase, which means you have to subtract 25 from $162.50.
Answer: $137.5
Thinking about the different types of numbers you learned in this unit, how would you help someone remember the differences between rational and irrational numbers?
The Difference between Rational numbers and Irrational numbers are given as follows
Rational numbers = A number of the form [tex]\dfrac{p}{q}[/tex] when [tex]q\neq 0[/tex] is called as a Rational number
Example = Any fraction of the form p/q such as 2/3 , -3/11 and 5/12
Irrational number = A number that can not be expressed in the form of [tex]\dfrac{p}{q}[/tex] or nor it can be represented as a recurring decimal form then it is called as Irrational number
These are of the form [tex]\sqrt[n]{x}[/tex] where we can not simplify positive integer x
Example = [tex]\sqrt{2}[/tex] , [tex]\sqrt{3}[/tex] ,[tex]\sqrt[3]{5}[/tex]
These both types of numbers belong to the category of Real numbers as they fall on Real number line.
Rational numbers with denominators = 1 are called as Integers
Surds are the categories of Irrational numbers are
Surds are the values of square root of any positive number that can not be simplified further to a whole number
Some examples of Surds are [tex]\sqrt{2}[/tex] and [tex]\sqrt{3}[/tex]
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What is 17.565x10 to the power of 2
The price of a pair of jeans was $31, but due to an increase the price went up to 129% of what it was originally. Which is the best estimate of the current price of the pair of jeans?
Answer:
the best estimate of the current price is $39.99
Step-by-step explanation:
Hello, I think I can help you with this,
You can solve this by using a rule of three
Step one
if
$31 ⇔100%
x? ⇔129%
the relation is
[tex]\frac{31}{100}=\frac{x}{129}}\\now, solve\ for\ x\\x=\frac{129*31}{100} \\x=\frac{3999}{100}\\ x=39.99\\[/tex]
the current price is $39.99
I hope it helps, have a fantastic day-
Name the property for 6+7+7+6=
associative property communitive property
zero property
The equation 6+7+7+6 demonstrates the Commutative Property of addition, which states that the order of addition does not affect the sum.
Explanation:The property shown by the equation 6+7+7+6 is the Commutative Property of addition. This property states that the order in which two numbers are added does not affect the sum. In other words, A+B = B+ A. Specifically here, the numbers 6 and 7 are added together in an order that can be rearranged without changing the result, indicating the commutative nature of their addition. To visualize:
(6+7) + (7+6)(7+6) + (6+7)Both expressions yield the same sum, showing the commutative property.
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what is the slope of the line that connects the points (1,3)and (2,2)
find the value of the underlined 9 10,698
An expression is Show : 6x(4+2x4)+10 what is the value of the expression
Solve the equation. −t/4=−3π
Is 13-yard gain a positive or negitave integer?Explain the meaning of zero in this situation.
Answer:
Positive integer
Step-by-step explanation:
An integer is a collection of positive and negative number and zero
Positive Numbers: Positive number are the numbers which have positive sign. For example 4, 9 or which which represents positivity like gain , increase, profit etc
Negative numbers: Negative number are the numbers which have negative sign. For example -4, -9 or which which represents negativity like loss , decrease etc
Zero is neither a negative number nor a positive number.
13 yard is a positive because there is a gain , which represent positivity.
We can also write + 13 yard.
Hence, the correct answer is it is a positive integer
Given: JKLM is an isosceles trapezoid, KL ∥ JM
Prove: KM ≅ JL
What is the missing reason in step 4?
Statements Reasons
1. JKLM is an isosceles trapezoid, KL ∥ JM 1. given
2. JK ≅ LM 2. definition of isosceles trapezoid
3. KL ≅ KL 3. reflexive property
4. ∠JKL ≅ ∠MLK 4. ?
5. △JKL ≅ △MLK 5. SAS ≅ theorem
6. KM ≅ JL 6. CPCTC
definition of linear pair
definition of congruence
base angles theorem
sufficient base angles theorem
Answer:
(C) Base angle theorem
Step-by-step explanation:
Given: JKLM is an isosceles trapezoid, KL ∥ JM
Prove: KM ≅ JL
Proof:
Statements Reasons
1. JKLM is an isosceles trapezoid, KL ∥ JM Given
2. JK ≅ LM definition of isosceles trapezoid
3. KL ≅ KL reflexive property
4. ∠JKL ≅ ∠MLK Base angle theorem (base=LK)
5. △JKL ≅ △MLK SAS rule
6. KM ≅ JL CPCTC
Hence proved.
therefore, option C is correct.
The missing reason for statement 4, is: C. base angles theorem.
What is the Base Angle Theorem?The base angle theorem states that the two base angles in an isosceles triangle that are opposite the congruent sides are equal in measure or congruent.
Thus, ∠JKL and ∠MLK are base angles of the identified isosceles triangle, therefore, the missing reason for statement 4, is: C. base angles theorem.
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A set designer builds a model of a stage and the different pieces of furniture on it. He uses a scale of 5 cm to 1m. The length of a table is 1.4m. What is the length of the model?
To solve this problem, we simply have to use ratio and proportion. We know that for every 5 cm, we have 1 m therefore the factor to use is:
5 cm / 1 m
SO for a table length of 1.4 m, the model length should be:
model = (5 cm / 1 m) * 1.4 m
model = 7 cm
Answer:
7 cm
What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?
13.4 units
17.9 units
26.8 units
40.0 units
Two bugs are running back and forth along a straight branch at constant speeds
without stopping. They start from opposite ends of the branch at the same time
and meet for the first time 40cm from one end of the branch. They continue to the
ends and return, meeting for the second time 20 cm from the other end of the
branch. How long is the branch?
A pair of in-line skates that usually sell for $40 is on sale at a 30% discount. What is the sale price?
Olivia ate four times as much salad as Reagan. If Reagan ate r salad, which equation can be used to find the amount of salad Olivia ate, v?
A. 4r = v
B. r + 4 =
C.v + 4 = r
D. 4v = r
Answer:
A. 4r = v
Step-by-step explanation:
the amount of salad Reagan ate is r.
If Olivia ate 4 times as much salad as Reagan, then she ate r amount multiplied by 4:
4r
Thus, the equation than can be used to describe the amount of salad for Olivia is:
4r = v
This is because this equation tells us that 4 times the amount of salad Reagan ate (4r) is equal to what Olivia ate (v)
Voyage has a drop that is 22 feet less than El Toro. Draw a bar diagram to the right and write an equation to find the height of Voyage.
All I can say is that the answer is 6 because this needs paper to draw a bar diagram
(CESGRANRIO) Determine o parâmetro m na equação x²+mx+m²-m-12=0, de modo que ela tenha uma raíz nula e outra positiva.
A hinged lid opens 89 degrees. What type of angle is formed by the open lid?
Which of the following expressions does not mean the same as the other three?
x - 17
x + (-17)
x - (-17)
- 17 + x
Hey there! You answer is x - (-17) . I hope this helped! Your fellow Brainly user, GalaxyGamingKitty.
3,050Divided by 10 to the second power. Answer
To divide 3,050 by 10 to the second power, simply move the decimal point two places to the left, resulting in the answer 30.50.
Explanation:When dividing by powers of 10, you simply need to move the decimal point to the left by the number of zeros in the exponent. In this case, the exponent is 2, so you would move the decimal point two places to the left.
Therefore, 3,050 divided by 10 to the second power is equal to 30.50.
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What is the probability that the first player does not get a blue character?
How do you write 4/5 as a percent
Celia hiked at a constant rate of 15 miles per day for 6 days. How many miles did Celia hike during that time?
A. 200 mi.
B. 170 mi.
C. 100 mi.
D. 90 mi.
Brad has a stack of 7 books on his desk. Each book is 1 and 7/8 inches thick.How tall is the stack?
Answer:
uuuuuuu
Step-by-step explanation:
A right triangle has legs of length 6 and 11. What is the length of the hypotenuse?
A) √142
B) √157
C) 15
D) 5√5
help me with these questions , please