MATHEMATICS HIGH SCHOOL

Brad can make 4 key chains in an hour. Velma can make only 3 key chains in an hour, but she already has 6 completed key chains. How can Brad use a system of equations to determine when he will have the same number of key chains as Velma?

Answers

Answer 1
Answer: Let us assume that the time after which Brad will have the same number of key chains as Velma = x hours
We already know that
Number of key chains Brad can make in an hour = 4
Number of key chains that Velma can make in an hour = 3
So after x hours,
Number of key chains that Brad can make = 4x
Number of key chains that Velma can make = 3x
Number of key chains that Velma already has = 6
Then the equation will be
3x + 6 = 4x
4x - 3x = 6
x = 6
So, from the above deduction, we can conclude that after 6 hours Brad will have the same number of key chains as Velma.

Related Questions

Hi, I need help with this equation  x²+y²-4x-6x+9=0
Solve the system of equations below y=3/2x-2 and 2x+y=-4
The temperature on Wednesday was 8° more than a third of Tuesday’s temperature. If T represents Tuesday’s temperature, write an expression for Wednesday’s temperature, W.
What is 54 percent as a fraction in simplest form
Due tomorrow please help!!!

12 divided by 8 into a mixed number

Answers

Hi there, to turn a fraction into a mixed number we divide the numerator by the denominator, write down the whole number, and then right down the remainder. In this case, we divide the numerator which is 12 and 8 which is the denominator which is 8, 12 divided by 8 equals 1.5, 1 will be the whole number, 4 will be the numerator, and 8 will be the denominator. So, we get 1 4/8. Therefore, 12/8 as a mixed number is 1 4/8.

0= (3 x^(2)-18x+24 )/( x^(2) -2x-8)Solve for x
Please show your work!!!
Thanks in advance :)

Answers

D:x^2-2x-8\not=0\nD:x^2-4x+2x-8\not=0\nD:x(x-4)+2(x-4)\not=0\nD:(x+2)(x-4)\not=0\nD:x\not =-2 \wedge x\not =4\n\n(3x^2-18x+24)/(x^2-2x-8)=0\n(3(x^2-6x+8))/((x+2)(x-4))=0\n(3(x^2-4x-2x+8))/((x+2)(x-4))=0\n(3(x(x-4)-2(x-4)))/((x+2)(x-4))=0\n(3(x-2)(x-4))/((x+2)(x-4))=0\n(3(x-2)(x-4))/((x+2)(x-4))=0\n(3(x-2))/((x+2))=0|\cdot(x+2)\n3(x-2)=0|:3\nx-2=0\n\boxed{x=2}

Tom swims at a rate of 50 meters in 40 seconds at this rate how many meters can he swim in 1 minute

Answers

Answer:

75

Step-by-step explanation:

Find the measures of the angles.A. m∠x
B. m∠y
A. m∠x = 50°
m∠y = 135°
B. m∠x = 125°
m∠y = 50°
C. m∠x = 50°
m∠y = 125°
D. m∠x = 135°
m∠y = 50°

Answers

C. m∠x=90-40=50° 
m∠y=180-55=125°

which of the following statements is true? a) both the square root of 0.25 and -the square root of 16 are irrational. b) the square root of 0.25 is rational and -the square root of 16 is irrational c) both the square root of 0.25 and -the square root of 16 are rational d) the square root of 0.25 is irrational and -the square root of 16 is rational

Answers

Answer:

Option: C is the correct answer.

c) both the square root of 0.25 and -the square root of 16 are rational.

Step-by-step explanation:

Rational Number--

A number which could be expressed in the form of p/q where  p belongs to integers and q belongs to natural numbers.

and if it could not be expressed as one then the number is called a irrational number.

(1)

\sqrt{0.25}

Now, we can represent it as follows:

√(0.25)=\sqrt{(25)/(100)}\n\ni.e.\n\n√(0.25)=\sqrt{((\pm 5)/(10))^2}\n\ni.e.\n\n√(0.25)=\pm (5)/(10)=\pm (1)/(2)

Hence, the number could be expressed in the form of p/q

Hence, the number is a rational number.

2)

-√(16)

It could be represented as follows:

-√(16)=-√((\pm 4)^2)\n\ni.e.\n\n-√(16)=\pm 4

Hence, the number is a rational number.
The answer is C because the only time a square root is irrational is if it is a negative like -16 it is irrational because you can’t have 4^2=4*-4

3/8 +1/5 equals what it is on my homework and I'm struggling

Answers

make bottom numbers same
they should be 40
to kee p fractions the same multiply topo and bottom by same number
3/8 times 5/5=15/40
1/5 times 8/8=8/40
15/40+8/40=23/40
23/40
*You might beable to simplify it
Other Questions
D - 9 = -13 *Your answer
Please help asap its due in one minuteLarry’s Landscaping charges $235 for spring cleanups and $30 for weekly lawn maintenance. Joe’s Landscaping charges $185 for spring cleanups and $35 for weekly lawn maintenance. The system that models this situation is given, where c is the cost of lawn maintenance and w is the number of weeks. c = 235 + 30wc = 185 + 35w The solution to the system is (10, 535).Which interpretation correctly describes the solution to the system of equations?a. Larry’s Landscaping will charge more money on the tenth week by charging $535.b. Joe’s Landscaping will charge more money on the tenth week by charging $535.c. The cost for lawn maintenance is the same, $535, for both landscaping companies after 10 wk.d. A customer can have his or her lawn maintained for a maximum of 10 wk. The customer will pay a total of $535.
The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?
Which represents the inverse of the function f(x) = 4x?h(x) = x + 4h(x) = x - 4h(x) = 2xh(x) = IX​