1. Holly, Tyler, and their parents go shopping for some items to update their 3 bedrooms. They have exactly $400 that they can spend. They have the following items in their cart: 3 packages of curtains, 3 gallons of paint, and 3 lamp shades. Complete the following to find out if they have enough money to purchase these items and, if they do, how much they will have left over.
(a) If a package of curtains cost $21.50, what is the cost of the 3 packages of curtains in the cart?
(b) If a gallon of paint costs $7.96, what is the cost of the 3 gallons of paint in the cart?
(c) If a lamp shade costs $14.99, what is the cost of the 3 lamp shades in the cart?
(d) Find the total cost of all the items in the cart. Then, find the amount of money the family has left, if any, from the $400.

Answer:

y = 5/4x + 9

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

m = 5/4

Random point (-8, -1)

y = 5/4x + b

Step 2: Find y-intercept b

-1 = 5/4(-8) + b

-1 = -10 + b

b = 9

Step 3: Write linear equation

y = 5/4x + 9

Answer:

All real numbers are solutions.

Step-by-step explanation:

Let's solve your equation step-by-step.

10−4v=−2−4(−3+v)

Step 1: Simplify both sides of the equation.

10−4v=−2−4(−3+v)

10+−4v=−2+(−4)(−3)+(−4)(v)(Distribute)

10+−4v=−2+12+−4v

−4v+10=(−4v)+(−2+12)(Combine Like Terms)

−4v+10=−4v+10

−4v+10=−4v+10

Step 2: Add 4v to both sides.

−4v+10+4v=−4v+10+4v

10=10

Step 3: Subtract 10 from both sides.

10−10=10−10

0=0

Answer: Orange.

Step-by-step explanation:

The graph of the slopes of the red function is equal to the derivate of the red function.

First, let's analyze the red function (from left to right).

First we can see that the red function is positive, and it decreases (so we must have a negative slope here).

Then we can see a little inflection point where the red function seems to be constant for a bit (here the slope must become zero for a little bit).

Then the red function keeps decreasing (so the slope is negative again).

Then the graph of the slope is:

Negative, then it increases to zero, and it decreases again.

The only graph that does this is the orange one, so the answer is orange.

Answer:

4.66 x 10^9

Step-by-step explanation:

The performance of the computer in one minute is 2.70x10¹⁰ per minute after performing unit conversion.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

It is given that:

A computer can perform 4.66 x 10⁸ calculations per second,

As we know,

1 minute = 60 seconds

1 second = 1/60 minutes

The performance of the computer in one minute = 4.66 x 10⁸(1/(1/60))

The performance of the computer in one minute = 4.66x60x 10⁸

The performance of the computer in one minute = 279.6x10⁸

= 2.70x10¹⁰ per minute

Thus, the performance of the computer in one minute is 2.70x10¹⁰ per minute after performing unit conversion.

Learn more about the unit conversion here:

https://brainly.com/question/11543684

#SPJ2

Answer:

1 solution

Step-by-step explanation:

-2(3h - 1) =5(2h - 3)

-6h + 2 = 10h - 15

-16h = -17

h = 17/16

Answer: 1 solution

Answer:

oh well thanks

Step-by-step explanation:

Answer:

Is option 1 hope this helps

Answer:

Undefined

Step-by-step explanation:

The x value is always 5 so the slope is undefined

Answer:

The slope of the line is undefined.

Step-by-step explanation:

To solve this problem, we should use the formula for slope, which is given below:

m = slope = (y2-y1)/(x2-x1)

If we plug in two of the points that are given in the table, we get:

m = slope = (6-3)/(5-5)

If we perform the subtraction in the parentheses in both the numerator and the denominator, we get:

slope = 3/0

Since we cannot divide by 0, this means the slope is undefined.

Hope this helps!

Answer:

id just learned this a month ago so i think its 2 and 6 i hope u get 100!

Step-by-step explanation:

Answer:

All three are correct.

Step-by-step explanation:

1x12 is 12, so #1 is correct.

2x6 is 12, so #2 is correct.

3x4 is 12, so #3 is correct.

Answer:

$14.25

Step-by-step explanation:

First write 25% as a decimal by dividing by 100.

[tex]\frac{25}{100}[/tex] = .25

Now multiply the cost of the purse by the discount.

$19 x .25 = $4.75

That is the discount, now subtract the discount from the original price of the purse.

$19 - $4.75 = $14.25

Answer:

7.6n−17.4

Step-by-step explanation:

Hope this helps :)

After simplification we get  [tex]7.6n-17.4[/tex]

Given expression is,

                      [tex](6.2n-8.3)+(-9.1+1.4n)[/tex]

Now simplify,

                     [tex](6.2n-8.3)+(-9.1+1.4n)\\\\=6.2n-8.3-9.1+1.4n\\\\=6.2n+1.4n-8.3-9.1\\\\=7.6n-17.4[/tex]

Hence, after simplification we get [tex]7.6n-17.4[/tex]

Learn more:

https://brainly.com/question/12121002

Answer:

The after-tax rate for the Corporate Bond when the tax rate is 10% is 9.35%

Step-by-step explanation:

The investor is better of at any rate above 30%, i.e 31% of tax rate would give the investor 7.1691% return ( 10.39  −  ( 10.39  ⋅  31 % ) )

Thus the return from the tax exempt municipal bond would be higher than the return from the taxable corporate bond.

The after-tax rate for the Corporate Bond when the tax rate is 10% is 9.35%( 10.39  −  ( 10.39  ⋅  10 % ) )

Answer:

You can put this solution on YOUR website! Write the next term in the sequence. Then write a rule for the nth term. -5, 10, -15, 20,

Step-by-step explanation:

If it weren't for the signs, we won't be able to get through it

Answer:

Step-by-step explanation:

You are to make 5 assemblies.

Each assembly requires the use of 1 Type A bolt.

To make the 5 assemblies, you need 5 Type A bolts.

The container of bolts has a total of 60 bolts.

The focus - Type A bolts - is 20 out of this 60.

The probability of obtaining a Type A bolt at all, is 20/60, which is = 1/3

(A) What is the probability of taking the exact number of Type A bolts you need for your 5 assemblies, if you randomly take 10 bolts from the container?

- The exact number of Type A bolts you need for the 5 assemblies is 5

1/3 × 5/10 =  5/30 =  1/6 =  0.167

(B) What is the probability of taking/having less than 5 Type A bolts out of the randomly selected 10 bolts? The solution is to sum up the following:

1/3 × 4/10 = 0.133

1/3 × 3/10 = 0.1

1/3 × 2/10 = 0.067

1/3 × 1/10 = 0.033

1/3 × 0/10 = 0

TOTAL = 0.333

Answer:

3/8

Step-by-step explanation:

1/8 got a A

1/2 got a B

1/2 is = to 4/8

4/8 + 1/8 = 5/8

1(8/8) - 5/8 = 3/8

Answer:

The decision rule is  

   Fail to reject the null hypothesis

The conclusion is  

   There is no sufficient evidence to accept  the manufacturing company claims

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  35

   The sample standard deviation is  [tex]s =  2.12[/tex]

   The level of significance is [tex]\alpha = 0.01[/tex]

The null hypothesis is  [tex]H_o  :  \sigma ^2  = 9.0[/tex]

The alternative hypothesis is  [tex]H_a  :  \sigma ^2  <  9.0[/tex]

Gnerally the test statistics is mathematically represented as

    [tex]X^2 _{stat} =  \frac{(n -1) * s^2 }{\sigma^2 }[/tex]

    [tex]X^2 _{stat} =  \frac{(35  -1) * 2.12^2 }{9 }[/tex]

=> [tex]X^2 _{stat} =  16.98[/tex]

Generally the degree of freedom is mathematically represented as

   [tex]df =  n - 1[/tex]

=>    [tex]df =  35 - 1[/tex]

=>    [tex]df =  34[/tex]

From the chi - distribution table the  critical value of [tex]\alpha[/tex] at a degree of freedom of  [tex]df =  34[/tex] is  

     [tex]X^2_{\alpha, 34 } =56.060[/tex]

From the value obtained we see that the test statistics does not lie within the region of rejection (1.e 56.060 , [tex]\infty [/tex]   )

Then

The decision rule is  

   Fail to reject the null hypothesis

The conclusion is  

   There is no sufficient evidence to accept  the manufacturing company claims

Answer:

Stirring water increases the rate at

which a salt dissolves.

Step-by-step explanation:

The stirring allows fresh solvent molecules to continually be in contact with the solute.

Answer:

B

Step-by-step explanation:

5 in the hundreds place equals 500, but put in the thousands place equals 5,000 and that's 10 times larger than 500. Or as how answer B puts it, 500 is one-tenth as much as 5,000. Either way, it's the same thing

Answer:

awts gege masakit walangya 123456880

Answer:

since they have the same y value, your equation is just y=9

I hope this helps!

Answer:

sup

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

  Statements:                                              Reasons:

1) [tex]\angle 2\cong\angle 3[/tex]                                                    Given

2) [tex]m\angle2=m\angle 3[/tex]                                             Definition of Congruence

3) [tex]\angle 1\text{ and } \angle 2\text{ form a linear pair}[/tex]                   Given

4) [tex]\angle 1 \text{ and } \angle 2\text{ are supplementary}[/tex]                  Supplement Theorem

5) [tex]m\angle 1+m\angle 2=180^\circ[/tex]                                 Definition of Supplementary Angles

6) [tex]m\angle 1+m\angle 3=180&^\circ[/tex]                                 Substitution

7) [tex]\angle 1\text{ and } \angle 3 \text{ are supplementary}[/tex]                 Definition of Supplementary

And we're done!

Answer:

a) P(A) = 0,4607     or   P(A) = 46,07 %

b) P(B) = 0,7120   or 71,2 %

c) P(C) = 0,2055  or P(C) = 20,55 %

Step-by-step explanation:

We will use two concepts in solving this problem.

1.- The probability of an event (A) is for definition:

P(A) = Number of favorable events/ Total number of events FE/TE

2.- If A and B are complementary events ( the sum of them is equal to 1) then:

P(A) = 1 - P(B)

a) The total number of events is:

C ( 24,4) = 24! / 4! ( 24 - 4 )!    ⇒  C ( 24,4) = 24! / 4! * 20!

C ( 24,4) = 24*23*22*21*20! / 4! * 20!  

C ( 24,4) = 24*23*22*21/4*3*2

C ( 24,4) = 24*23*22*21/4*3*2    ⇒  C ( 24,4) =  10626

TE = 10626

Splitting the group of tanks in two 6 with h-v  and 24-6 (18) without h-v

we get that total number of favorable events is the product of:

FE = 6* C ( 18, 3)  = 6 * 18! / 3!*15!  =  18*17*16*15!/15!

FE =  4896

Then P(A) ( 1 tank in the sample contains h-v material is:

P(A) = 4896/10626

P(A) = 0,4607     or   P(A) = 46,07 %

b) P(B) will be the probability of at least 1 tank contains h-v

P(B) = 1 - P ( no one tank with h-v)

Again Total number of events is 10626

The total number of favorable events for the ocurrence of P is C (18,4)

FE = C (18,4) = 18! / 14!*4! = 18*17*16*15*14!/14!*4!

FE = 18*17*16*15/4*3*2  = 3060

Then P = 3060/10626

P = 0,2879

And the probability we are looking for is

P(B) = 1 - 0,2879

P(B) = 0,7120   or 71,2 %

c) We call P(C) the probability of finding exactly 1 tank with h-v and t-i

having 4 with t-i tanks is:

reasoning the same way but now having 4 with t-i (impurities) number of favorable events is:

FE = 6*4* C(14,2) = 24 * 14!/12!*2!

FE = 24* 14*13*12! / 12!*2

FE = 24*14*13/2    ⇒  FE = 2184

And again as the TE = 10626

P(C) = 2184/ 10626

P(C) = 0,2055  or P(C) = 20,55 %

Answer:

3

Step-by-step explanation:

To identify the y-intercept represented by the given equation, we need to get the equation into slope-intercept from:

[tex]y=mx+b[/tex]

[tex]m=slope[/tex]

[tex]b=y-intercept[/tex]

Start with:

[tex]3x+2y=6[/tex]

Subtract [tex]3x[/tex] from both sides of the equation:

[tex]2y=-3x+6[/tex]

Divide both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]2[/tex]:

[tex]y=-1.5x+3[/tex]

Identify the y-intercept:

[tex]b=3[/tex]

Answer:

one fourth a number minus three

¼x-3

Answer:

88% left to consume

Step-by-step explanation:

880 of 1000

88/100

percentages are out of 100

so you can just divide both sides by 100, or take away the extra zero

let me know if you need further guidance ;)

Answer:

c) 2(x-2)+6=0

2(x-2)+6=0

Distribute

2x - 4 + 6 = 0

Combine like terms -4 + 6

2x + 2 = 0

Subtract both sides

2x = -2

Divide both sides

x = -1