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Nesterboy [21]
3 years ago
5

A woman has got 60 € in her purse. She spends half of her money in stamps and 3/8 in writing paper. How much money has she got i

n her purse now?
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
7 0
Is she has 60 and half was used that would be 30 minus 3/8 and 3/8 is 0.375 which if u subtract 60-30-0.375 it would be 29.625 I’m pretty sure! Sorry if this didn’t help
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The telephone company offers two billing plans for local calls. Plan 1 charges $34 per month for unlimited calls and Plan 2 char
lawyer [7]

Answer:

more than 200 calls

Suppose number of calls = x

According to plan 1: Total monthly charge is $24

According to plan 2: Fix charge is $16 and $0.04 per call

cost of x's call = $0.04x

and monthly charge according to plan 2 = 0.04x + 16

a)  Plan 1 is more economical than plan 2.

0.04x + 16 > 24

solve it for x

.04x > 8

x > 200

b)   So,  if more than 200 calls are made then Plan 1 is more economical.

Step-by-step explanation:

6 0
3 years ago
35. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.
Montano1993 [528]

Answer:

The linear equation for the line which passes through the points given as (-2,8) and $(4,6), is written in the point-slope form as $y=-\frac{1}{3} x-\frac{26}{3}$.

Step-by-step explanation:

A condition is given that a line passes through the points whose coordinates are (-2,8) and (4,6).

It is asked to find the linear equation which satisfies the given condition.

Step 1 of 3

Determine the slope of the line.

The points through which the line passes are given as (-2,8) and (4,6). Next, the formula for the slope is given as,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute $6 \& 8$ for $y_{2}$ and $y_{1}$ respectively, and 4&-2 for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows, $m=\frac{6-8}{4-(-2)}$

$$\begin{aligned}&m=\frac{-2}{6} \\&m=-\frac{1}{3}\end{aligned}$$

Step 2 of 3

Write the linear equation in point-slope form.

A linear equation in point slope form is given as,

$y-y_{1}=m\left(x-x_{1}\right)$

Substitute $-\frac{1}{3}$ for m,-2 for $x_{1}$, and 8 for $y_{1}$ in the above equation and simplify using the distributive property as follows, y-8=-\frac{1}{3}(x-(-2))$\\ $y-8=-\frac{1}{3}(x+2)$\\ $y-8=-\frac{1}{3} x-\frac{2}{3}$

Step 3 of 3

Simplify the equation further.

Add 8 on each side of the equation $y-8=-\frac{1}{3} x-\frac{2}{3}$, and simplify as follows, $y-8+8=-\frac{1}{3} x-\frac{2}{3}+8$

$y=-\frac{1}{3} x-\frac{2+24}{3}$$\\ $$y=-\frac{1}{3} x-\frac{26}{3}$$

This is the required linear equation.

6 0
1 year ago
Daniel has a beginning balance of $675 in his checking account. He writes two checks for $530 and $200. He has a deposit of $340
GenaCL600 [577]
$675.00 - $530.00 = $145.00
$145.00 - $200.00 = $55.00 negative balance, amount short.
$55.00 + 340.00 = $285.00 positive balance after deposit.
$285.00 - $29.00 = $256.00 new balance
Daniel has a new balance of $256.00
7 0
2 years ago
Using the side lengths
In-s [12.5K]

Given

The three sides are given 24, 30 and 18.

Explanation

To find the triangle is acute, obtuse or right triangle.

To determine whether the triangle is acute, right, or obtuse.add the squares of the two smaller sides, and compare the sum to the square of the largest side. Since this sum is greater, the triangle is acute.

A

If the sum of the squares of the two smaller sides is equal to the square of the largest side , then it is right triangle.

Now c.

\begin{gathered} 30^2=24^2+18^2 \\ 900=576+324 \\ 900=900 \end{gathered}

Answer

Hence the sum of the squares of the two smaller sides is equal to the square of the largest side , then it is right triangle.

The correct option is A.

3 0
1 year ago
Please can someone show me how to do this. Thanks
Nadusha1986 [10]

Answer:

x equals 3.00cm

Step-by-step explanation:

Use Pythagoras' Theorem.

a = (14x-45)

b = (16x+27)

c = (25x)

Plug in the variables above into Pythagoras' Theorem that is, a^2+b^2=c^2.

Solve the resulting quadratic equation and reject the negative answer as length is always positive.

5 0
3 years ago
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