All categories

2 years ago

The sum of three times Annabell's age plus her mother's age is 42. He

Mathematics

1 answer:

Hoochie [10]2 years ago

6 0

Answer:

Step-by-step explanation:

First you have to analyze the word equations. Let x equal to Annabell's age and y equal her mother's age

3x + y = 42

6 + 6x = y

Then you use substitution to find x

3x + 6 + 6x = 42

9x = 36

x = 4

You might be interested in

Use elimination to solve each system.

stiks02 [169]

Box of Popcorn: $3.00
Drink: $2.00

I might be wrong, but hopefully that helped! :)

5 0

3 years ago

Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n equals

Alekssandra [29.7K]

Answer:

(0.767,0.833)

Step-by-step explanation:

The 95% confidence interval for population proportion p can be computed as

$p-z_{\frac{\alpha }{2} } \sqrt{\frac{pq}{n} }$

The z-value associated with 95% confidence level is 1.96.

whereas p=x/n

We are given that x=440 and n=550.

p=440/550=0.8

$0.8-1.96\sqrt{\frac{0.8(0.2)}{550} }$

$0.8-1.96\sqrt{\frac{0.16}{550} }$

$0.8-1.96\sqrt{0.00029 }$

$0.8-1.96(0.01706)$

$0.8-0.03343$

$0.76657$

Thus, the required confidence interval is

0.767<P<0.833 (rounded to 3 decimal places)

Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)

3 0

3 years ago

Simplify (4x − 6) + (3x + 6). 7x 7x − 12 x 7x + 12

noname [10]

Answer:

Step-by-step explanation:

$\left(4x-6\right)+\left(3x+6\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=4x-6+3x+6\\Group\:like\:terms\\=4x+3x-6+6\\\mathrm{Add\:similar\:elements:}\:4x+3x=7x\\=7x-6+6\\-6+6=0\\\\=7x$

5 0

3 years ago

How hard must someone pull on the unkown line and inwhat direction to keep the knot from moving

dolphi86 [110]

Answer:

4.4N, 263.4°

Step-by-step explanation:

The sum of all forces must add to zero:

The forces in the x-plane:

∑F = 3N + (cos 120°)*5N + x = 0

x = -(3N + (cos 120°)*5N)

x = -0.5N

The forces in the y-plane:

∑F = (sin 120°)*5N + y = 0

y = -(sin 120°)*5N = -√(3/4)*5N = -4.3N

The magnitude of the unknown force U is:

U = √(x² + y²) = √19 = 4.4N

The direction is given by:

tanФ = y/x

Ф = 263.4°

4 0

3 years ago

Which symbol makes the sentence true?<br><br><br><br> − 5 over 12 square − 2 over 5

djverab [1.8K]

If you change the fraction to decimals that will make it easier to compare

4 0

3 years ago