1 point
8
At a store, toothbrushes cost x dollars and
bars of soap cost y dollars. One customer
bought 2 toothbrushes and 1 bar of soap
for $11. Another customer bought 6
toothbrushes and 5 bars of soap for $38.
Both amounts do not include tax. How
much does each toothbrush and each bar of
soap cost?
a) toothbrushes: $4.25 soap: $2.50
b) toothbrushes: $3.00 soap: $4.00
c) toothbrushes: $4.50 soap: $2.25
d) toothbrushes: $2.50 soap:
$4.25
e) toothwrushes: $4.00 soap: $3.00

Answer:

[tex]x^2-10x+8=0[/tex]

Step-by-step explanation:

[tex]\frac{1}{x} +\frac{1}{x-2}=\frac{1}{4} \\\\\frac{x-2+x}{x(x-2)} = \frac{1}{4} \\\\\frac{2x-2}{x(x-2)}=\frac{1}{4} \\\\4(2x-2)=x(x-2)\\8x-8=x^2-2x\\0=x^2-2x-8x+8\\0=x^2-10x+8\\x^2-10x+8=0\\[/tex]

Using the least common denominator in simplifying the rational equation, the result of in standard form is: [tex]\mathbf{x^2 -10x + 8 = 0}[/tex]

Given:

[tex]\frac{1}{x} + \frac{1}{x - 2} = \frac{1}{4}[/tex]

The least common denominator of the two fractions on the left side of the equation is x(x - 2).

Thus:

[tex]\frac{1(x - 2) + x(1)}{x(x - 2)} = \frac{1}{4}\\\\\frac{x - 2 + x}{x(x - 2)} = \frac{1}{4}\\\\\frac{2x - 2}{x^2 - 2x)} = \frac{1}{4}[/tex]

[tex]4(2x + 2) = 1(x^2 - 2x)\\\\8x + 8 = x^2 - 2x\\\\[/tex]

[tex]0 = x^2 - 2x - 8x + 8\\\\0 = x^2 -10x + 8\\\\\mathbf{x^2 -10x + 8 = 0}[/tex]

Learn more about least common denominator on:

https://brainly.com/question/542317

Answer:

1. y=-4/3x+9

2. y=-4x+6

Step-by-step explanation:

1.y=-4/3x+b

put in 3,5 into equation

5=-4/3(3)+b

5=-4+b

9=b

so y=-4/3x+9

2. y=4x+b

2=4(-1) +b

2=-4+b

6=b

y=-4x+6

Answer:

scamming outta points

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

What you need to do is 38 ÷ 8. The answer would be 4 with a remainder of 6, so there are six apples left

Answer:

b 7

Step-by-step explanation:

open the bracket and the power gets cancelled because it will be 5/5

then answer will be 7 to the power 1 which is equals to 7

Answer:

30

Step-by-step explanation:

3 multiply 5 =15

so:

6 multiply 5=30

Use a similar strategy as in your other question, [19925664].

3x² + 4x + 12 = 3 (x - r ) (x - s)

3x² + 4x + 12 = 3 (x² - (r + s) x + rs)

3x² + 4x + 12 = 3x² - 3 (r + s) x + 3rs

so that

r + s = -4/3

rs = 12/3 = 4

Recall that

(r + s)² = r² + 2rs + s²

so that

r² + s² = -2rs = -2(4) = -8

Answer:

the probability is 5/12  or 0.416 or 41%

Step-by-step explanation:

Hope I helped!

Answer:

%50

%-15

%40

%62.5

%27.5

%60

Step-by-step explanation:

Answer:

Here you go!

Step-by-step explanation:

Hope this helped!

Answer: a=7

d=2

Step-by-step explanation:

Answer:

search it up

Step-by-step explanation:

Step-by-step explanation:

The approximate tip is - 12.30$

Because bill is 81.79$

and tip - 15%

therefore bill amount divided by 15/100

==> 81.79* 15% is 12.30$

Answer:

1. -13x9= -117 Negative

2. 4x14= 65 Positive

3. -6x(-31)= 186 Positive

4. -18x(54)= 4374 Positive

5. 55x7= 385 Positive

Step-by-step explanation:

Answer:

This is as much as I could do.

Step-by-step explanation:

Steps r in pic below

Answer:

The answer is x=-16.

Step-by-step explanation:

I cant give you the step by step explanantion but I can later! I hope this helps thoough!

Answer

952.49feet

Step-by-step explanation:

This set up will be a right angled triangle

Height = opposite side = 425foot

Length of wire = hypotenuse= x

Angle of elevation= 26.5°

Using the SOH identity

Sin 26.5 = opp/hyp

Sin26.5 = 425/x

x = 425/sin26.5

x =425/0.4462

x = 952.49feet

Hence the length of the wire is 952.49feet

Answer:

The Mean Decreases.

Step-by-step explanation:

Answer:

the answer is Cindy and i dont understand what your trying to say but if your saying witch one is closer to  Jackson then yeah Cindy

Answer:

Option C: 24 is the correct answer.

Step-by-step explanation:

Given that:

Jason used 0.5 cup of kernels to make 16 cups of popcorn

Ratio of cup of kernel to cups of popcorn = 0.5 : 16

Let,

x be the cups of popcorn made from 0.75 cups of kernel

Ratio of cups of kernel to cups of popcorn = 0.75 : x

This is a direct proportion as the cups of kernel is increasing.

0.5 : 16 :: 0.75 : x

Product of mean = Product of extreme

16*0.75 = 0.5x

12=0.5x

0.5x=12

Dividing both sides by 0.5

[tex]\frac{0.5x}{0.5}=\frac{12}{0.5}\\x=24[/tex]

Jason can make 24 cups of popcorn from 0.75 cups of kernel.

Hence,

Option C: 24 is the correct answer.

Answer:

The answer is A choice.

Explanation:

By looking at the graph, we notice that at the left side, the domain/x-value stops at -5 and 5.

Thus, the domain is at the left end side to the right end side.

The domain stops at -5 on the left side and 5 on the right side. Thus the answer is

-5 < x < 5.

The A choice.

Understanding

The domain of a function is basically all the values where x is defined, and by defined, it means it has a y value corresponding to it. In this graph, x is defined from -5 to 5. If you look outside this range of numbers (from -5 to 5 on the x-axis) you will not find any y values for them. We can easily say the solution is A.

Solution:

[A] [tex]-5<x<5[/tex]

Note: From what I see from the picture -5 and 5 are included in the domain, either the question is incorrectly written, or the picture isn't clear enough. If so, the answer should be [tex]-5\leq x\leq 5[/tex].

Answer:

Step-by-step explanation:

Domain of a function is a set of x-values (input values) for which the function is defined.

Range of a function is a set of y-values (output values) for the given set of input values.

7). Domain → (-∞, ∞)

    Range → (-∞, ∞)

8). Domain → (-∞, ∞)

    Range → [-2, ∞)

9). Domain → [-2, 2]

    Range → [-3, 3]

10). Domain → (-∞, ∞)

    Range → [-1, 1]

Step-by-step explanation:

The equation of the line is y = -1.5x + 3.

Answer:

#2

Both functions have the same slope.

#3

The origin is the y-intercept for the function expressed in the table.

#5

The table and the graph express an equivalent function.

Answer:

B, C, E

Step-by-step explanation:

I got it right on edge

Answer:

The sum of a number and ten

A number plus ten

Ten more than a number

Step-by-step explanation:

edg

Answer:

- 121 7/24

Step-by-step explanation:

Initial Position = 66 2/3 below sea level

Ascent = 24 1/8

Descent = 78 3/4

New position of submarine :

Since initial. Position is below sea level, we finite with a negative sign :

-66 2/3 = - 200 /3

Ascent is positive ; 24 1/8 = 193 / 8

-200 /3 + 193 / 8

(-1600 + 579) / 24

= - 1021 / 24

Descent = 78 3/4 (negative) downward

78 3/4 = - 315/ 4

-1021 / 24 - 315/4

(-1021 - 1890) / 24

= - 2911 / 24

= - 121 7/24

121 7/24 below sea level

Answer:

C.

Step-by-step explanation:

A. Is false because citizens do not lose their citizenship if they fail to pay taxes.

B. Is false because not every tax paying citizen receives government assistance gets benifits like food stamps.

D. Is false because taxes don't go directly back to the people as cash payouts.

Answer:

The real answer is c.

Step-by-step explanation:

Taxes that we pay goes tords goverment things such as school. Smiles have a good day!

Answer:

It will cover 4.5 miles in 30 seconds.

Step-by-step explanation:

An airplane is flying from nyc to la.

The distance it travels in miles,d, is related to the to the time in seconds, t, by the equation :

d=0.15t ...(1)

Let us assume we need to find the distance at t = 30 s.

Put t = 30 s in equation (1).

d=0.15 × 30

d = 4.5 miles

Hence, it will cover 4.5 miles in 30 seconds.