The distance a car can travel in miles is modeled by the equation y=23x-6, where x represents the number of gallons of gas the car uses. If the car traveled 86 miles, how many gallons of gas did it use

Answer:

actually the right answer is A

Step-by-step explanation:

if you solve it you get x=36 but remember that x is the amount of water that you need to evaporate so if you want to check it just subtract it from 90 and the salt will be 25%

Answer:

17

Step-by-step explanation:

The solution is [tex](x=\frac{-7}{2},\ y=\frac{-13}{2} )[/tex].

Solution:

Given system of equations are

[tex]-3 x+y=4[/tex] ---------- (1)

[tex]-9 x+5 y=-1[/tex] ---------- (2)

To solve the given system of equations by substitution method.

Let us take the equation (1) and find the value of y.

(1) ⇒ [tex]-3 x+y=4[/tex]

Add 3x on both sides of the equation, we get

⇒ [tex]y=4+3x[/tex]

Substitute y = 4 + 3x in equation (2), we get

[tex]-9 x+5 (4+3x)=-1[/tex]

[tex]-9 x+20+15x=-1[/tex]

Combine like terms together.

[tex]-9 x+15x=-1-20[/tex]

[tex]6x=-21[/tex]

Divide by 6 on both sides of the equation.

[tex]$x=-\frac{21}{6}[/tex]

Divide the numerator and denominator by the common factor 3.

[tex]$x=-\frac{21\div3}{6\div3}[/tex]

[tex]$x=-\frac{7}{2}[/tex]

Now, substitute x value in y = 4 + 3x, we get

[tex]$y=4+3\left(\frac{-7}{2} \right)[/tex]

[tex]$y=4+\left(\frac{-21}{2} \right)[/tex]

Take LCM of the denominators and make the same.

[tex]$y=\frac{8}{2} +\frac{-21}{2}[/tex]

[tex]$y=\frac{-13}{2}[/tex]

Hence the solution is [tex](x=\frac{-7}{2},\ y=\frac{-13}{2} )[/tex].

Answer:

27 hours

Step-by-step explanation:

1620 divided by 60 = 27

Answer:

27 Hours

Step-by-step explanation:

Divide 1620 by 60 and get.. 27 hours.

The given question has some missing information. By googling the information we can find the complete question here:

https://simplyans.com/mathematics/roxy-is-multiplying-18-by-43-use-t-11879138

The product 1/8 times 4/3 is greater than 1/8.

Step-by-step explanation:

The given information is Roxy multiplying two numbers [tex]\frac{1}{8}[/tex] and [tex]\frac{4}{3}[/tex].

We have to find that their product is less then or greater than [tex]\frac{1}{8}[/tex].

Let us find the product first.

=[tex]\frac{1}{8}[/tex]×[tex]\frac{4}{3}[/tex].

=[tex]\frac{1}{6}[/tex].

Let us now compare [tex]\frac{1}{6}[/tex] and [tex]\frac{1}{8}[/tex].

We can compare a fraction when the denominators of the fractions are same. Else we can use LCM to make the denominator same.

Or else we can turn the fraction into decimal to compare.

LCM method:

1) Find the least common denominator(LCM) for the denominators.

⇒ LCM of 6 and 8 is 24.

2) Next let us change the fractions for equal denominators.

For the 1st fraction,

[tex]\frac{1}{6}=\frac{1 \times 4}{6 \times 4}=\frac{4}{24}[/tex].

For the 2nd fraction,

[tex]\frac{1}{8}=\frac{1 \times 3}{8 \times 3}=\frac{3}{24}[/tex].

Now compare the two new numbers.

[tex]\frac{4}{24}>\frac{3}{24}[/tex].

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction.

Thus [tex]\frac{4}{24}[/tex] is the greater number which means [tex]\frac{1}{6}[/tex] .

i.e. [tex]\frac{1}{6}[/tex] is greater than [tex]\frac{1}{8}[/tex].

Decimal Method:

[tex]\frac{1}{6}[/tex] = 0.167.

[tex]\frac{1}{8}[/tex]= 0.125.

By comparing 0.167 and 0.125,

0.167 > 0.125.

0.167 is greater than 0.125.

Thus [tex]\frac{1}{6}[/tex] is greater than [tex]\frac{1}{8}[/tex].

Answer:

(I) using the equation y=3x+1 at x=2 the length of Line DO is y=3(2)+1

Therefore y=7

(II) the coordinates At x=-3

Y=3(-3)+1=-8

Hence from (I) above also the coordinates are (7,-8)

Step-by-step explanation:

Step 1 :you declare variables

Step 2: you solve the equation at both points on the graph

Answer:4

Step-by-step explanation:

You only multiple the top or in this case 4 so 4x5= 20/5 simplified would be 20 divided by 5=4

Answer:

4

Step-by-step explanation:

Because all you need to do is multiply-5 times 4 equals 20/5 and 20 divided by 5 equals 4.

Answer:

7 months

Step-by-step explanation:

equation:

75+65x

75+65(6)=465 <495

75+65(7)=530>495

Ben will need to make deposits for at least 7 months to have enough money to buy the TV.

To determine the minimum number of months Ben will need to make deposits until he has enough money to buy the TV, we can set up an equation.

https://brainly.com/question/34732053

#SPJ11

Step-by-step explanation:

We have,

3014 divided by 63

To find, the remainder of 3014 divided by 63 = ?

3014 divided by 63

∴ [tex]\dfrac{3014}{63}[/tex]

= 63 × 47 + 53

We know that,

Dividend = Quotient ×  Divisor + Remainder

∴ Remainder = 53

Thus, when 3014 divided by 63, the remainder is 53.

Answer:

[tex]Leading\ candidates\ votes\approx 18784\ votes[/tex]

Step-by-step explanation:

Percentage:[tex]x\%\ of\ y=\frac{x}{100}\times y[/tex]

[tex]Total\ votes=24082\\\\Leading\ candidates\ votes=78\%\ of\ total\ votes\\\\Leading\ candidates\ votes=\frac{78}{100}\times 24082\\\\Leading\ candidates\ votes=0.78\times 24082\\\\Leading\ candidates\ votes=18783.96\\\\Leading\ candidates\ votes\approx 18784\ votes[/tex]

Answer:  [tex]A=280\ in^2[/tex]

Step-by-step explanation:

As you can observe in the figure attached, when the slice is made perpendicular to the base of the right rectangular prism, the resulting two-dimensional cross-section is a Rectangle.

By definition, the area of a rectangle can be calculated with this formula:

[tex]A=lw[/tex]

Where "l" is the  length of the rectangle and "w" is the width.

In this case, looking at the figure attached, you can identify that the   length and the width of the rectangle are:

[tex]l=20\ in\\w=14\ in[/tex]

Now, knowing these values, you can substitute them into the formula:

[tex]A=(20\ in)(14\ in)[/tex]

Finally, you must evaluate in order to find area of this rectangle. You get that its area is the following:

[tex]A=280\ in^2[/tex]

Answer:

A which is 280mm

Step-by-step explanation:

Answer:

30.4

Step-by-step explanation:

30.4-8.4=22

Answer:

You may need to plot them.

Step-by-step explanation:

Looks like your confused, if there is a line plot plot it there. Hope this helps! If it doesn't, phone a friend!

Answer: it would be 47.9 if you rounded to nearest tenth

Step-by-step explanation: Add all numbers together then divide by how many numbers are there

Answer:

12x + 2

Step-by-step explanation:

To find what the expression equals, you can collect like terms. This means to do the operations (add or subtract) the numbers that have the same variables.

(8x + 5) + (4x - 3)        Remove brackets to add a binomial (2-term brackets)

= 8x + 5 + 4x - 3        Collect like terms

= 8x + 4x + 5 - 3        I rearranged so you can see which terms are alike

= 12x + 5 - 3        Collected like terms with "x" (8x + 4x = 12x)

= 12x + 2        Collected like terms with no variables (5 - 3 = 2)

Therefore (8x + 5) + (4x - 3) is equal to 12x + 2.

If you want, you can also find another equal expression by factoring. Since "12x" and "2" are both divisible by the factor 2, you can take it out and put the other numbers in a bracket.

12x + 2

= 2(12x/2 + 2/2)

= 2(6x + 1)        This is equal, but in factored form.

Answer:

12x+2

Step-by-step explanation:

8x+4x=12x

5-3=2

12x+2

Answer:

∴ΔGHJ ≅ΔLMK

∴ΔABC≅ΔPQR

Step-by-step explanation:

5.

GH= 3.6 , HJ=2.84 and GJ=2.24

LK= 9 ,KM= 5.6 and LM = 7.1

[tex]\frac{LK}{GH} =\frac{KM}{GJ} =\frac{LM}{HJ}[/tex]

[tex]\frac{9}{3.6} =\frac{5.6}{2.24} =\frac{7.1}{2.84} =2.5[/tex]

Therefore ΔGHJ and ΔLMK satisfy SSS rule(side-side-side)

∴ΔGHJ ≅ΔLMK

6.

ΔABC

Since AB=AC this equivalent to the two angels of the triangle  are equal

Then

∠CAB+∠CBA=180°-34°

⇔∠CAB=73°     [∵∠CAB=∠CBA]

Similarly for ΔPQR ∴ ∠RPQ=∠RQP=73°

Therefore ΔABC and ΔPQR satisfy AAA rule(angle-angle-angle)

∴ΔABC≅ΔPQR

Answer:

-1 and 4

Step-by-step explanation:

multiply -1 and 4 to get -4.

-1 x 4 = -4

add 4 to -1 to get (positive) 3.

-1 + 4 = 3

hope this helps :)

Answer:

(10 + 11y)(10 - 11y)

Step-by-step explanation:

100 - 121y²

This is a special factoring called difference of squares. Since both of the numbers in the subtraction expression are perfect squares, we can use this rule:

a² - b² = (√a² - √b²)(√a² + √b²)

Take the square root of each number. Add them in one bracket, subtract them in the other bracket.

(10 + 11y)(10 - 11y)

100 is a perfect square because its square root is a whole number.

√100 = 10

121y² is a perfect square because its square root is a whole number, and its variable is squared.

√121 = 11

√y² = y

Answer:

(10 + 11y)(10 - 11y)

Step-by-step explanation:

difference of squares :)

The coordinates of x-intercepts of the graph of y = (x - 3)(x + 2) are (3 , 0) and (-2 , 0) ⇒ 4th answer

Step-by-step explanation:

The x-intercepts of a quadratic function is the values of x when y equal to zero

If y = (x - a)(x + b), then to find x-intercepts do that:

∵ The equation of the graph is y = (x - 3)(x + 2)

- To find the x-intercepts equate y by 0

∴ (x - 3)(x + 2) = 0

- Equate each bracket by 0

∵ x - 3 = 0

- Add x to both sides

∴ x = 3

∵ x + 2 = 0

- Subtract 2 from both sides

∴ x = -2

∴ The graph intersects the x-axis at points (3 , 0) and (-2 , 0)

The coordinates of x-intercepts of the graph of y = (x - 3)(x + 2) are (3 , 0) and (-2 , 0)

Learn more:

You can learn more about the quadratic function in brainly.com/question/1332667

#LearnwithBrainly

Answer:

  see below for one possibility

Step-by-step explanation:

Many methods are taught for doing long division. You may find it most convenient to use the one taught in your class. One method is shown in the attachment below.

Generally, the first step is to adjust the decimal points so the divisor is an integer. Here, that means multiplying both numbers by 100, so the problem becomes 1517.76/248. This makes it easy to keep the decimal point of the quotient in the right place.

If you're using the method illustrated below, you find the smallest portion of the dividend that is a multiple of the divisor between 1 and 9. Multiply the divisor by that quotient digit and subtract the result from the dividend. Repeat as often as necessary to get the desired result. When the remainder is zero, as here, there is no point to continuing, as the remaining quotient digits are zero.

The quotient digit described in the previous paragraph is aligned with the least significant digit of the dividend that you're working with. If that is not adjacent to the previous quotient digit, use zero as a place-holder. The second attachment shows an example.

When the dividend is the same as one you have seen before, it means the digits of the quotient will repeat. The third attachment shows an example of this.

_____

For the problem shown here, you know that 15/2.5 is a number between 1 and 10, so you can ignore the decimal points and place the decimal point in the quotient so its value is between 1 and 10. This is the way it is done when the tool used for division is a slide rule, not a modern scientific calculator. (When using a slide rule, the powers of ten need to be managed manually.)

Step-by-step explanation:

x : y = 5 : 6

[tex] \therefore[/tex]let x = 5k & y = 6k

We need to find: 5x-2y:6x+2y

[tex] \therefore \: \frac{5x - 2y}{6x + 2y} \\ \\ = \frac{5 \times 5k - 2 \times 6k}{6 \times 5k + 2 \times 6k} \\ \\ = \frac{25k - 12 k}{30k + 12k} \\ \\ = \frac{13 k}{42k} \\ \\ =\frac{13 }{42} \\ \\ = 13 : 42 \\ \\ \purple{ \boxed{\therefore \: (5x - 2y) :({6x + 2y}) = 13 : 42}}[/tex]

To find the amount of rope needed for the new garage, calculate the perimeter of the planned structure. If the new garage is similar to the current one, maintaining the same width to length ratio (5:4), and the width is increasing to 30 feet, the length will be 24 feet. The total rope required is the perimeter, which is 108 feet.

To calculate the amount of rope needed for the new garage with a width of 30 feet, we must find the length of the rectangle that represents the area to be roped off for the concrete pour. If the garage maintains the same shape, which is similar to the current one, we can assume that the length will increase in the same ratio as the width.

The current dimensions are 25 feet wide by 20 feet long, which gives a width to length ratio of 25:20 or 5:4. If we increase the width to 30 feet, maintaining the same ratio, the length should be 24 feet (as 30:24 or 5:4). So the perimeter of the new rectangular area will be twice the width plus twice the length (2 x width + 2 x length = 2 x 30 ft + 2 x 24 ft = 60 ft + 48 ft = 108 ft). Therefore, you will need 108 feet of rope to stake out the perimeter of the new garage.

Final answer:

To find the amount of rope needed for the new garage, calculate the perimeter of the new garage by summing all the sides of the rectangle. The perimeter of the current garage can be used as a reference point. The result is 100 feet of rope needed.

Explanation:

To find the amount of rope you will need, you need to calculate the perimeter of the new garage. The perimeter is the sum of all the sides of a rectangle.

The current garage has a width of 25 feet and a length of 20 feet, so its perimeter is 2(25) + 2(20) = 90 feet.

The new garage will have a width of 30 feet, so its perimeter will be 2(30) + 2(20) = 100 feet.

Therefore, you will need 100 feet of rope to stake and rope off where the concrete will be poured for the new garage.

Answer:

[tex]0.08[/tex]

Step-by-step explanation:

Given : 8%

To find the decimal value of the percentage number

Remove the percentage symbol with 100 in the denominator

gives            

              [tex]\frac{8}{100}\\[/tex]

Now taking the numerator to the decimal place equal to the number of zeros in the denominator or simply divide denominator with numerator.

Gives =   [tex]0.08[/tex]

So, the decimal equivalent of the given value is  [tex]0.08[/tex]

0.08

Step-by-step explanation:

8% can be written as 8/100 in the fractional form.

now when we will divide anything by 100, we will count the 0s in 100. here 2 zeros are there.

so we will put the decimal point before two digit. in numerator we already have 8.

we need another digit, so we put 0 then the decimal point.

that means 0.08

The width of the rug is 9 feet.

Step-by-step explanation:

Perimeter of rug = 42 feet

Lengths are same in square and rectangle shapes; therefore;

Length of rug = 12 feet

Width of rug = w

Perimeter = Length + Length + Width + Width

Perimeter = [tex]12+12+w+w[/tex]

[tex]42=24+2w\\42-24=2w\\18=2w\\2w=18[/tex]

Dividing both sides by 2

[tex]\frac{2w}{2}=\frac{18}{2}\\w=9[/tex]

The width of the rug is 9 feet.

Keywords: perimeter, division

Learn more about division at:

#LearnwithBrainly

Answer:

f(-7) = 24

Step-by-step explanation:

Step 1:  Identify the Function

f(x) = 17 - x is the function

Step 2:  Set x to -7 in the function

f(-7) = 17 - (-7)

f(-7) = 17 + 7

f(-7) = 24

Answer: f(-7) = 24

Answer:

c. Either a minimum or a maximum

Step-by-step explanation:

considering that a parabola can grow or decrease from its vertex we can note that in the case of a parabola with the branches down the vertex will always be a maximum, and in the case of a parabola with the branches up it will always be a minimum.

Answer: [tex]\frac{1}{10} miles=0.1 miles[/tex]

Step-by-step explanation:

If the total distance [tex]D[/tex] Mick jogged is divided among five posts, we can write the following relation to find the distance [tex]x[/tex] between each post:

[tex]x=\frac{D}{5}[/tex]

Where [tex]D=\frac{1}{2} mile[/tex]

Then:

[tex]x=\frac{\frac{1}{2} mile}{5}[/tex]

[tex]x=\frac{1}{10} miles=0.1 miles[/tex] This is the distance between each marker post.

Answer:40z

Step-by-step explanation: i got this answer by using the distributive property. So when I distribute 5 to 8 you just basically multiply the two and add the variable on the end

Answer:

-78 + 55 = -23

Step-by-step explanation:

Answer:

Step-by-step explanation:

-78+55 = -23