<img src="https://tex.z-dn.net/?f=%28x%20%2B%202%29%20%5Cdiv%202%20%3C%205" id="TexFormula1" title="(x + 2) \div 2

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katovenus [111]

2 years ago

(x + 2) \div 2 < 5" align="absmiddle" class="latex-formula">

Mathematics

2 answers:

Katen [24]2 years ago

5 0

The answer should be x < 8.

ELEN [110]2 years ago

3 0

I believe the correct answer would be 8. I’m not entirely sure. Sorry if this is wrong!

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Forty is what percent of 50?<br><br> worth 11 pts.

RoseWind [281]

The answer is 40 is 80% of 50 ☺

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GCF of 30 48 and 72

USPshnik [31]

The greatest common factor of those numbers is 8.

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under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box

Anestetic [448]

Step-by-step explanation:

The equation of line passing through the two points is $\frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}$

When substituted,the equation becomes $\frac{y-6}{x-2}=\frac{18-6}{6-2}$

which when simplified is $y=3\times x$

The line clearly passes through origin.

The distance between two points is $\sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}$

Distance between origin and $(2,6)$ is $\sqrt{40}$ .

Distance between origin and $(6,18)$ is $\sqrt{360}$

Scale factor is $\frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}$

So,scale factor is $\frac{\sqrt{360} }{\sqrt{40} }$

which when simplified becomes 3.

6 0

2 years ago

A group of 83 students are visiting the National Aquarium in Baltimore. Volunteers lead tours for groups no larger than 5 studen

Fiesta28 [93]

Answer:

17 tour guides

Step-by-step explanation:

First, we need to divide 83 by 5.

83 ÷ 5 = 16 R 3

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8 0

1 year ago

Read 2 more answers

John’s father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages

oksano4ka [1.4K]

Answer:

John’s age is 8 years

Step-by-step explanation:

Let

x -----> John’s father's age

y -----> John’s age

z -----> John’s sister's age

we know that

$x=5y$ -----> equation A

$y=2z$

$z=y/2$ -----> equation B

$(x+2)+(y+2)+(z+2)=58$

$x+y+z+6=58$

$x+y+z=52$ -----> equation C

Substitute equation A and equation B in equation C and solve for y

$5y+y+y/2=52$

Multiply by 2 both sides to remove the fraction

$10y+2y+y=104$

$13y=104$

$y=8$

<em>Find the value of x</em>

$x=5(8)=40$

<em>Find the value of z</em>

$z=8/2=4$

therefore

John’s father's age is 40 years

John’s age is 8 years

John’s sister's age is 4 years

7 0

2 years ago