Find the product. 43x8= ( 40=3) x 8

Jessie has n dollars in his bank account. He deposits $132.00. Write an expression that represents the total amount Jessie now h

Kamila [148]

N-$132.00=what he now has in account

8 0

2 years ago

Plsss answer the following.

IRINA_888 [86]

First exercise:

a. The first prime numbers are 2,3,5,7,11,... So, the greatest prime interger between 4 and 9 is 7. A = 7.

b. Since the number line's growing direction is rightwards, going to the left means to decrease. So, point E is 4 less than point A, i.e. 7-4 = 3. E = 3.

c. The additive inverse of a number $x$ is another number $y$ such that $x+y=0$ . So, we're looking form a number such that $3+O=0$ , and thus O = - 3.

d. This point looks a bit ambiguous to me honestly. We know that IO = 2, which I presume means that the points I and O are two units apart, but we're not told if I is two units left or right with respect to O. To solve this issue, I'm assuming that IO implies that I sits before O, and so I is two units left with respect to O. As we said in point a., two units left means two less, so we have I = -3-2 = -5. At this point, point L is halfway between -5 and -3, and thus L = - 4.

e. The sum of the coordinates of A and E is 7 + 3 = 10. Half that sum is 5, so M = 5.

In the attached image, you can see the number line filled with the points asked by the exercise.

Second exercise:

All the requests can be written as an equation in which we look for the values of x. Below you find the equation and the solutions.

$107 + x = 55 \implies x = 55-107 = -52$

$-43 - x = 18 \implies x = -43-18 = -61$

$-43 - x = 18 \implies x = -43-18 = -61$

$55x = 0 \implies x = \frac{0}{55} = 0$

$\frac{x}{-1080} = -40 \implies x = (-1080)(-40) = 43200$

A little side note: I've honestly never met the expression "subtract A to B", but always "subtract A from B". I assumed they mean the same thing, but if anybody thinks I'm wrong please let me know! (I'm not a native speaker, so I can only refer to the math I met during my studies).

8 0

3 years ago

How many kilograms of water must be added to 25 kilograms of a 15% salt solution to produce a 5% solution ?

AleksandrR [38]

Answer:

50kg

Step-by-step explanation:

25 kg of a 15% salt solution

25kg * 15%

25kg * 15/100 = 3.75 kg

3.75kg * 100/5

3.75 * 20 = 75

Mass of water in kg increased from 25kg to 75kg

75kg - 25kg = 50kg of water must be added.

3 0

3 years ago

Susan is writing a linear equation for the cost of her cell phone plan. In the first month, she talks for 52 minutes and is char

ser-zykov [4K]

$\frac{f(b)-f(a)}{b-a}\\\frac{45.65-19.41}{380-52}\\\frac{26.24}{328}\\0.08\\\\19.41-52*0.08\\19.41-4.16\\15.25\\\\y=0.08x+15.25$

Eight cents per minute.

y=0.08x+15.25

4 0

3 years ago

Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations

Usimov [2.4K]

Step-by-step explanation:

an arithmetic sequence is a sequence of terms, where every term is created by adding a certain constant to the previous term.

a geometric sequence is when every term is created by multiplying the previous term by a certain constant.

the x coordinate serves as "n" counter of the terms in the sequence.

and the y coordinate is the actual sequence term of that "n".

so, we have

a1 = 4

a2 = 8

a3 = 16

a4 = 32

A)

I think, now it is obvious : the sequence is built by multiplying the previous term by 2.

and this is therefore a geometric sequence.

B)

a2 = a1 × 2 = 4×2 = 8 minutes

a3 = a2 × 2 = a1 × 2 × 2 = 4 × 2 × 2 = 4 × 2² = 16 minutes

a4 = a3 × 2 = 16 × 2 = 32 minutes

a5 = a4 × 2 = 32 × 2 = 64 minutes

C)

based on B we see

an = an-1 × 2 = a1 × 2^(n-1) = 4 × 2^(n-1) = 2² × 2^(n-1) =

= 2^(n+1) minutes

therefore

a8 = 2^(n+1) = 2⁹ = 512 minutes

6 0

1 year ago