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3 years ago

Fred has $ 200 in his banking account. Which integer represents a debit of $40 dollars?

Mathematics

1 answer:

maria [59]3 years ago

6 0

Answer:

(D) -40

Step-by-step explanation:

Hope it helps.

According to me it is correct.

But please if it is wrong let me know.

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The midpoint, M , of segment AB has coordinates (2,−1) . If endpoint A of the segment has coordinates (−3,5) , what are the coor

lbvjy [14]

the coordinates of endpoint B are (7,7)

Answer:

Solution given:

M(x,y)=(2,-1)

A $(x_{1},y_{1})=(-3,5)$

Let

B $(x_{2},y_{2})=(a,b)$

now

by using mid point formula

x= $\frac{x_{1}+x_{2}}{2}$

$ubstituting value

2*2=-3+a

a=4+3

a=7

again

y= $\frac{y_{1}+y_{2}}{2}$

$ubstituting value

-1*2=5-b

b=5+2

b=7

the coordinates of endpoint B are (7,7)

8 0

2 years ago

Can someone please help me on this question? Use the following diagram to find the fraction representing each collection of dots

ale4655 [162]

Answer:

a. 4/7

e. 3/4

Step-by-step explanation:

For each part of the question, count the dots that meet the first requirement, and count the dots that meet the "fraction of ..." requirement. The desired fraction is the ratio of these numbers. In the answers above, we have reduced the fractions to lowest terms, but the question does not seem to require that.

a. The desired fraction is ...

(dots in the triangle)/(all dots) = 16/28 = 4/7

e. (dots in the rectangle not in the circle)/(dots in the rectangle) = 9/12 = 3/4

8 0

2 years ago

5(2+c)=45+5c no solution

kolbaska11 [484]

Answer:

Step-by-step explanation:

You have to start out with the distributive property 5 times 2 times c is 10+5c; now you have to subtract 5c on both sides in the upside down T chart, now its 10=45+c and your answer will be c=4.5.

8 0

3 years ago

What term is 1/1024 in the geometric sequence,-1,1/4,-1/6..?

Trava [24]

Answer:

$\large\boxed{\text{sixth term is equal to}\ \dfrac{1}{1024}}$

Step-by-step explanation:

The explicit formula for a geometric sequence:

$a_n=a_1r^{n-1}$

$a_n$ - n-th term

$a_1$ - first term

$r$ - common ratio

$r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_n}{a_{n-1}}$

We have

$a_1=-1,\ a_2=\dfrac{1}{4},\ a_3=-\dfrac{1}{6},\ ...$

The common ratio:

$r=\dfrac{\frac{1}{4}}{-1}=-\dfrac{1}{4}\\\\r=\dfrac{-\frac{1}{6}}{\frac{1}{4}}=-\dfrac{1}{6}\cdot\dfrac{4}{1}=-\dfrac{2}{3}\neq-\dfrac{1}{4}$

<h2>It's not a geometric sequence.</h2>

If $a_3=-\dfrac{1}{16}$ then the common ratio is $r=\dfrac{-\frac{1}{16}}{\frac{1}{4}}=-\dfrac{1}{16}\cdot\dfrac{4}{1}=-\dfrac{1}{4}$

Put to the explicit formula:

$a_n=-1\left(-\dfrac{1}{4}\right)^{n-1}$

Put $a_n=\dfrac{1}{1024}$ and solve for <em>n </em>:

$-1\left(-\dfrac{1}{4}\right)^{n-1}=\dfrac{1}{1024}\qquad\text{use}\ a^n:a^m=a^{n-m}\\\\-\left(-\dfrac{1}{4}\right)^n:\left(-\dfrac{1}{4}\right)^1=\dfrac{1}{1024}\\\\-\left(-\dfrac{1}{4}\right)^n\cdot(-4)=\dfrac{1}{1024}\\\\(4)\left(-\dfrac{1}{4}\right)^n=\dfrac{1}{1024}\qquad\text{divide both sides by 4}\ \text{/multiply both sides by}\ \dfrac{1}{4}/\\\\\left(-\dfrac{1}{4}\right)^n=\dfrac{1}{4096}\\\\\dfrac{(-1)^n}{4^n}=\dfrac{1}{4^6}\qquad n\ \text{must be even number. Therefore}\ (-1)^n=1$

$\dfrac{1}{4^n}=\dfrac{1}{4^6}\iff n=6$

5 0

3 years ago

Help plzzzzzz plz help this ? is realy hard Simplify the expression 7(a−3+4b).

velikii [3]

7(a−3+4b)

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7a-7*3+7*4b

7a-21+28b

4 0

3 years ago

Read 2 more answers