Question 4
4 pts
Tom and Larry put money into their bank account each week. The table below shows Tom's
saving habits.
Weeks
1
2.
3
4
5
Account Balance ($)
18 30 42 54 66
Larry's saving habits can be represented by the equation y = 15x + 5, where y is money in
his account and x is the number of weeks that he has been saving.
a. How much money was initially in Tom's account? [Select]
b. How much money was initially in Larry's account (Select]
c. Who is saving money at a faster rate? (Select ]
d. When will Tom have more money in his account than Larry?
[ Select ]

Answer:

[tex]54[/tex]

Step-by-step explanation:

[tex]Let\ the\ first\ digit\ of\ the\ two\ digit\ number\ be\ a\\Let\ the\ second\ digit\ of\ the\ two\ digit\ number\ be\ b\\Hence,\\We\ are\ given\ that,\\a+b=9\\Hence,\\b=(9-a)\\As\ we\ know\ that,\\The\ original\ number\ containing\ 2-digits\ can\ be\ written\ as: 10a+b\\Hence,\\The\ original\ number=10a+(9-a)\\The\ original\ number=9a+9\\\\[/tex]

[tex]Now,\\Lets\ consider\ the\ reversed\ number\ with\ the\ reversed\ digits\ of\ the\\ original\ number.\\Hence,\\Reversed\ number\ containing\ reversed\ digits\ can\ be\ written\ as:10b+a\\Hence,\\Reversed\ number=10b+a\\Reversed\ number=10(9-a)+a=90-10a+a=90-9a\\[/tex]

[tex]Now,\\We\ are\ given\ that,\\Original\ Number-9=Reversed\ number\\Or,\\Original\ Number-Reversed\ number=9\\Hence,\\9a+9-(90-9a)=9\\9a+9-90+9a=9\\18a=90\\a=\frac{90}{18}=5[/tex]

[tex]As\ a=5, b=(9-5)=4\\Hence,\\The\ original\ number=10a+b=10*5+4=50+4=54[/tex]

Answer:D

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] and [tex]a^{0}[/tex] = 1

Given

[tex]7^{4}[/tex] × [tex]7^{5}[/tex] × [tex]7^{-9}[/tex]

= [tex]7^{(4+5-9)}[/tex]

= [tex]7^{0}[/tex]

= 1

Answer:

The answer is 5398444

Answer:

420−69+80085+5318008

=5398444

Step-by-step explanation:

Answer:

lets call the children, c, and call adult, a,

c+a= 52       eq 1: a=52-c

c=3a            eq 2

take a's value from eq 1 and plug it into eq 2

c=3(52-c)

c=156-3c

4c=156

c=39 the number of children that attended the ball game.

Step-by-step explanation:

Answer:

ok lol i think it is 3m x w=52 for the equation

Divide each term by

3

m

x

and simplify.

w

=

52

3

m

x

Answer:

2y+10x

Step-by-step explanation:

distribute the 2 into the rest of the equation

Answer:

5

Step-by-step explanation:

2.63x5 = 15.78

Answer:

If you're on edge and it's the multiple choice one it would be a

Answer:

Georges drawing is larger.

Step-by-step explanation:

A scale is a representative fraction that can be used to either increase or decrease the dimensions of a given object. It can either be; reduced or enlarged.

From the given question, both scales are enlarged scale. But,

the scale from the actual triangle to the drawing = 30:1

This implies that every measure of 30 on the drawing is 1 of the actual. So that a measure of 120 on the drawing equals 4 on the actual.

Georges' scale = 10:1

This implies that every 10 measure equal 1 of the actual. So that a measure of 120 on the drawing is 12 on the actual.

Therefore, Georges drawing is larger.

Answer:

[tex] A_1 = 12[/tex]

[tex] A_4=21[/tex]

[tex] A_{10}= 39[/tex]

Step-by-step explanation:

[tex]A_n = 12+(n-1)(3) \\ \\ plug \: n = 1 \\ A_1 = 12+(1-1)(3) \\ = 12 + 0(3) \\ = 12 + 0 \\ \red{ A_1= 12} \\ \\ plug \: n = 4\\ A_4 = 12+(4-1)(3) \\ = 12 + 3(3) \\ = 12 + 9 \\ \purple{ A_4= 21} \\ \\ plug \: n = 10\\ A_{10} = 12+(10-1)(3) \\ = 12 + 9(3) \\ = 12 + 27 \\ \orange{ A_{10}= 39} \\ \\ [/tex]

Answer:

Blank #1.  4

Blank #2.  25

Blank #3.  5

Blank #4.  32

Step-by-step explanation:

Blank #1.  If a farm lets you pick 3 pints of raspberries for $12.00, then the cost per pint would be $4.00.

Blank #2.  If one pint costs $4.00, then you would get a quarter of a dollar per pint, or 0.25 (this is because four quarters are in a dollar, one quarter=25 cents).

Blank #3.  If you continue at this rate, for $20.00, you would be able to get 5 pints of raspberries because if you pick 3 pints of raspberries for $12.00, and one pint costs $4.00 (multiply 3 and 4 to get the total cost of $12.00), and if you pick 5 pints, that cost $4.00 each, for $20.00 (multiply 4 and 5 to get $20.00). So, if you had $20.00, you would be able to pick 5 pints of raspberries for a total of $20.00.

Blank #4.  For this question, all you have to do is multiply 4 and 8 ($4.00 and 8 pints) to get a result of $32.00 as your total cost. So, if you picked 8 pints of raspberries for $4.00 per pint, then you will have a total cost of $32.00.

Hope that helps and please give me brainliest!!

Answer:

1 out of 9

Step-by-step explanation:

Answer:

$2.19

Step-by-step explanation:

7 divided by 3 is 2.5

5.46 divided by 2.5 is 2.184

round it and get 2.19

Answer:

-6 is the integer

Step-by-step explanation:

Solution :

Given that the expression is :

[tex]$10^3 \times 0.006$[/tex]

This can be written as,

[tex]$\Rightarrow 10^3 \times \frac{6}{1000}$[/tex]

[tex]$\Rightarrow 10^3 \times \frac{6}{10^3}$[/tex]

[tex]$\Rightarrow 10^0 \times 6$[/tex]

a). Therefore the exponent in the power of 10

     = 0

b). Factors of 10 in [tex]$10^3$[/tex]

    = 10 x 10 x 10

    = 1000

    = [tex]$10^3$[/tex]

   So there are 3 factors of 10 in [tex]$10^3$[/tex]

c). If we compare the exponent of power of 10 in 1000 and factors of 10 in 1000, then both of them will be same.

  But in part a), we are finding exponent in the power of 10 in the expression  which is equal to 0. And in part b), we are finding the factor of 10 in 1000, which is equal to 3, as 10 x 10 x 10 = 1000.

d). The value of the expression [tex]$10^3 \times 0.006$[/tex] is 6.

Answer:

It is type A because A is dominant and i is recessive.

Step-by-step explanation:

Answer:

I agree with  5421103, the answer is C.

Step-by-step explanation:

Answer:

LETS GO WITH B

Step-by-step explanation:

Answer:

12 miles

Step-by-step explanation

56.75 - 2.75 = 54

1/2(54/2.25)

Answer:

5,1,-3,-7

Step-by-step explanation:

y=-4x+1

if x is -1,

-4(-1)+1 or 4+1 or 5.

Following,

5,1,-3,-7

Hope this helps plz hit the crown :D

Answer:

-193 is correct.

There are no like terms.

Answer:

=r−8s−5

Answer:

Ok-

Step-by-step explanation:

Answer:

She has 3/4 and each batch requires 1/8. 3/4 can be turned into 6/8 she can make 6 batches.

Answer: y= 3x+62

Step-by-step explanation: m= y₂-y₁/x₂-x₁

m= 80-62/6-0

m= 18/6

m=3

y-y₁=m(x-x₁)

y-62= 3(x-0)

y-62= 3x-0

y= 3x+62

Answer:

$13.41

Step-by-step explanation:

maybe, I'm not that sure :/

btw you can, can you please mark me brainliest :)

Answer:

The correct

answer is B

The correct option is B)

A feasible region satisfies all the inequalities of a linear programming problem. It is based on the technique of optimization.

Given here the inequalities as –x + y ≤ –1

x + 2y ≥ 4

The graph plotting the two equations is plotted in the attached file

Hence from the given graph option B is the correct option.

Learn more about feasible regions here:

https://brainly.com/question/29314086

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