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2 years ago

PLEASE HELP!!!!!!! FOR A TEST

Mathematics

2 answers:

lutik1710 [3]2 years ago

7 0

The original price of the shirt is. 25.20

Explanation:
0.4 x 18.00= 7.20
7.20 + 18.00= 25.20

Gennadij [26K]2 years ago

7 0

Answer:

Original sales price is $30

Step-by-step explanation:

$x(1 - .4) = 18$

solve for x

$x = \frac{18}{(1 - .4)}$

$x = 30$

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ΔEFG ~ ΔLMN. Find LM.

Vika [28.1K]

EFG ~ LMN, if EF ~ LM, then whatever the number is for EF times whatever the others are multiplied by, you will get LM
for example:

FG (10) ~ MN (20)

if EF is (5), then LM is (10) (for you are multiplying by two.

Another example:

if FG is (100) ~ MN will be (200) (again for you are multiplying by two.

hope this helps

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2 years ago

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PROBLEM SOLVING You are participating in an orienteering competition. The diagram shows the position of a river that cuts throug

Wewaii [24]

Answer:

The shortest distance is 2.2 miles

Step-by-step explanation:

we know that

The shortest distance you must travel to reach the river is the perpendicular distance to the river

step 1

Find the slope of the line perpendicular to the river

we have

$y=3x+2$

The slope of the river is m=3

Remember that if two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)

therefore

The slope of the line perpendicular to the river is

$m=-1/3$

step 2

Find the equation of the line into point slope form

$y-y1=m(x-x1)$

we have

$m=-1/3$

$point(2,1)$

substitute

$y-1=-(1/3)(x-2)$

step 3

Find the intersection point of the river and the line perpendicular to the river

we have

$y=3x+2$ ------> equation A

$y-1=-(1/3)(x-2)$ -----> equation B

Solve the system by graphing

The intersection point is (-0.1,1,7)

see the attached figure

step 3

Find the distance between the points (2,1) and (-0,1,1.7)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute

$d=\sqrt{(1.7-1)^{2}+(-0.1-2)^{2}}$

$d=\sqrt{(0.7)^{2}+(-2.1)^{2}}$

$d=2.2\ miles$

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2 years ago

Dan invests £2200 into a savings account. The bank gives 5% compound interest for the first 3 years and 4% thereafter. How much

Naily [24]

Present value = 2200
interest rates =5% for 3 years, and 4% afterwards
no. of periods = 7

Future value=2200*(1.05)^3(1.04)^(7-3)
=<span>£</span>2979.367 (please round to appropriate number of decimals)

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2 years ago

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Gnom [1K]

The common ratio is 3.

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