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3 years ago

1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 24. How old is each

Mathematics

1 answer:

Andre45 [30]3 years ago

5 0

Answer:

a) Let Kim's age be k, then Kim's sister's age is k/2

k+ $\frac{k}{2}$ =24

b) k+ $\frac{k}{2}$ =24

1 $\frac{1}{2}$ k=24

k=16

$\frac{k}{2}$ =8

Kim's age is 16 while her sister's age is 8.

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I need this fast!........................

Schach [20]

Answer: $(2,2)$

Step-by-step explanation:

1. Substitute $y=0$ into first equation and solve for "x" in order to find the x-intercept of the first line:

$0=-\frac{1}{2}x+3\\\\-3=-\frac{1}{2}x\\\\(-3)(-2)=x\\\\x=6$

2. Substitute $x=0$ into the first equation and solve for "y" in order to find the y-intercept of the first line:

$y=-\frac{1}{2}(0)+3\\\\y=3$

Knowing that first line passes through the points $(6,0)$ and $(0,3)$ , you can graph it.

3. Substitute $y=0$ into second equation and solve for "x" in order to find the x-intercept:

$0=2x-2\\\\2=2x\\\\x=1$

4. Substitute $x=0$ into the second equation and solve for "y" in order to find the y-intercept of the second line:

$y=2(0)-2\\\\y=-2$

Knowing that second line passes through the points $(1,0)$ and $(0,-2)$ , you can graph it.

The solution of the system of equations is the point of intersection between the lines. Therefore, the solution of this system is:

$(2,2)$

7 0

3 years ago

A sequence is constructed according to the following rule: its first term is 7, and each next term is one more than the sum of t

Iteru [2.4K]

Answer:

Step-by-step explanation:

According to the described rule, we have

$a_1=7\\ \\a_1^2=7^2=49\Rightarrow a_2=4+9+1=14\\ \\a_2^2=14^2=196\Rightarrow a_3=1+9+6+1=17\\ \\a_3^2=17^2=289\Rightarrow a_4=2+8+9+1=20\\ \\a_4^2=20^2=400\Rightarrow a_5=4+0+0+1=5\\ \\a_5^2=5^2=25\Rightarrow a_6=2+5+1=8\\ \\a_6^2=8^2=64\Rightarrow a_7=6+4+1=11\\ \\a_7^2=11^2=121\Rightarrow a_8=1+2+1+1=5\\ \\\text{and so on...}$

We can see the pattern

$a_5=a_8=a_{11}=a_{14}=...=5\\ \\a_6=a_9=a_{12}=a_{15}=...=8\\ \\a_7=a_{10}=a_{13}=a_{16}=...=11$

In other words, for all $k\ge 2$

$a_{3k-1}=5\\ \\a_{3k}=8\\ \\a_{3k+1}=11$

Now,

$a_{2018}=a_{3\cdot 673-1}=5$

7 0

3 years ago

What is -15 2/3 + (-5 2/3)

solniwko [45]

Answer is -21 1/3

-15 2/3

+ -5 2/3

-------------

Answer is 21 1/3

7 0

3 years ago

Read 2 more answers

The amount of water dispensed by a water dispenser is normally distributed,

Contact [7]

Answer:

The correct answer is - C. 11.45 ounces to 11.75 ounces.

Step-by-step explanation:

According to the empirical rule of the distribution for 68% falls under the normal curve falls within 1 standard deviation of the mean.

That is:

μ±δ

From the given information, the mean is

μ = 11.60

and the standard deviation is

δ = 0.15

We substitute the given parameters to obtain;

11.60±0.15

11.75 and 11.45

This means the lower limit is

11.45

and the upper limit is

11.75

3 0

3 years ago

Compute the indicated derivative U(t) = 5.1t^2 − 1.7t; U'(6)

Nezavi [6.7K]

Answer: 59.5

Step-by-step explanation:

U(t) = 5.1t^2 − 1.7t

U'(t)=2*5.1t-1.7

U'(t)=10.2t-1.7

U'(6)=10.2(6)-1.7

U'(6)=61.2-1.7

U'(6)=59.5

6 0

1 year ago