i paid $15.00 for 6 gallons of gasoline.
what was the price PER gallon

Answer:

See belolw

Step-by-step explanation:

[tex]P=53\text{ft}[/tex]

[tex]P = a+b+c[/tex]

[tex]53=2x-15+x+1+3x-29[/tex]

[tex]53=6x-43[/tex]

[tex]96=6x[/tex]

[tex]x=16[/tex]

[tex]a=2x-15[/tex]

[tex]a=2(16)-15[/tex]

[tex]\boxed{a=17}[/tex]

[tex]b=x+1[/tex]

[tex]b=16+1[/tex]

[tex]\boxed{b=17}[/tex]

[tex]c=3x-29[/tex]

[tex]c=3(16)-29[/tex]

[tex]\boxed{c=19}[/tex]

Answer:

1. x=16, a=17, b=17, c=19

2. k=-2

Step-by-step explanation:

1.

We can set up an equation where all the labeled sides add up to 53, and then find x:

(2x-15)+(x+1)+(3x-29)=53

6x-43=53

6x=96

x=16

Now that we know x, we can plug it back in to the expressions of the triangles to find their side lengths:

a=2(16)-15=17

b=16+1=17

c=3(16)-29=19

2.

Reminder: the slope of a line is its change in y over its change in x. We can then set up an equation:

[tex]\frac{2-k}{k-(-3)}=4\\\frac{2-k}{k+3}=4\\2-k=4k+12\\5k=-10\\k=-2[/tex]

Answer:

Car Z has better petrol consumption. Choice C. Z

Step-by-step explanation:

Petrol Consumption

Car Y travels 105 miles on 3 gallons of petrol. The average consumption is 105 / 3 = 35 miles/gallon

Car Z travels 80 miles on 9 litres of petrol. Since 1 gallon=4.5 litres, the consumption of car Z is 9/4.5= 2 gallons. The average consumption is 80/2 = 40 miles/gallon.

This means that car Z has better petrol consumption. Choice C. Z

Answer:

c

Step-by-step explanation:

because like it would happen in real life yk and the others dong make sense at all

tell me if its right

Answer:

c)scene

according to me

Answer:

9x^2=-25

X^2=-25/9

X^2=-2. 77

X= root - 2.77

Answer:

[tex](x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )[/tex]

Step-by-step explanation:

Given

[tex]\left(\frac{x_1+\:x_2}{2},\:\:\frac{y_{1\:}+y_2}{2}\right)\:=\:\left(x_m,\:y_m\right)[/tex]

Required

Determine x2, y2

Start by splitting the expression

[tex]x_m = \left(\frac{x_1+\:x_2}{2})[/tex] and [tex]y_m = (\frac{y_{1\:}+y_2}{2})[/tex]

Solving for x2 in [tex]x_m = \left(\frac{x_1+\:x_2}{2})[/tex]

Multiply through by 2

[tex]2 * x_m = \frac{x_1 + x_2}{2} * 2[/tex]

[tex]2x_m = x_1 + x_2[/tex]

Make x2 the subject;

[tex]x_2 = 2x_m - x_1[/tex]

Similarly:

[tex]y_m = (\frac{y_{1\:}+y_2}{2})[/tex]

Multiply through by 2

[tex]2 * y_m = \frac{y_1 + y_2}{2} * 2[/tex]

[tex]2y_m = y_1 + y_2[/tex]

Make y2 the subject;

[tex]y_2 = 2y_m - y_1[/tex]

Hence:

[tex](x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )[/tex]

Answer:

The new height requirements are minimum of 64.1875 inches and maximum of 68.3 inches

Step-by-step explanation:

To exclude the tallest 50% of men and shortest 5% of men, we need to find the critical z-value for a significance level of 0.5 & 0.05 and then solve for x in the z-score equation.

For significance value of 0.5, z = 0

We are given;

μ = 68.3 in

σ = 2.5 in

Thus from z = (x - μ)/σ, we have;

0 =(x - 68. 3)/2.5

0 = x - 68. 3

x = 68.3 inches for men max

Similarly, for significance value of 0.05, z = -1.645

Thus to find x;

-1.645 = (x - 68. 3)/2.5

-4.1125 = x - 68.3

x = 68.3 - 4.1125

x = 64.1875 inches for men min

Answer:

y=15x+10

Step-by-step explanation:

The linear equation that models the situation is y = 6791 - 7x.

The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept

Given that, the population of pine bluff is 6791 and decreasing at a rate of 7 per year.

The population after x year is:
6791 - 7x

Now, if the population after x year is represented by y, then the equation is:

y = 6791- 7x

Hence, the linear equation that models the situation is y = 6791 - 7x.

To learn more about the slope-intercept form of a line, click here:

https://brainly.com/question/9682526

#SPJ2

Answer:

x = 1/3 or .333

Step-by-step explanation:

Answer:

the cost of gas i think

Step-by-step explanation:

i dont really know

Answer:

I think it is, B( The length of the route

Step-by-step explanation:

Answer:

6+5=11

Step-by-step explanation:

6*5=30

Lowest numbers possible

Answer:

Yes, because the more pies ordered the more money it will cost to buy them all

Step-by-step explanation:

total cost is not proportional to the number of pies.

the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

given  Fred is ordering pies for a family reunion. Each pie costs $4.50. For orders smaller than a dozen pies, there is a $5 delivery charge.

Fred is ordering pies for a family reunion. Each pie cost $4.50. For orders smaller than a dozen pies, there is a $5 delivery charge.

Let us draw a table for the number of pies and the total cost

Number of pie                           Total Cost  

1                                                 $4.50+5=$9.50

2                                                  $9+5=$14

3                                               $13.50+5=$18.50

4                                                  $18+5=$230

5                                               $22.50+5=$26.50

now Total cost/number pies = 9.50/1 is not equals to 14/2

Therefore the total cost is not proportional to the number of pieces

Learn more about proportionalities here:

https://brainly.com/question/3254974

#SPJ5

Answer:

word: eight-tenths

fraction: 8/10 = 4/5

decimal: 0.8

Step-by-step explanation:

i got it right

word: eight-tenths

fraction: 8/10 = 4/5

decimal: 0.8

A number expressed as a quotient, in which a numerator is divided by a denominator.

As, per the diagram there are total of 10 columns out of which 8 are shaded blue.

So, if we write the fraction of shaded part it will be 8/10.

So,  in word: eight-tenths

fraction: 8/10 = 4/5

decimal: 0.8

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ2

Answer:

a + b = 5 ...........1

6a + 4b = 24.50 ......... 2

Step-by-step explanation:

Let a be the amount of pounds of apricot bought

Let b be the amount of pounds of banana bought

If he buys a total pounds of 5 pounds then;

a + b = 5 ...........1

Also if a pound's of apricots for $6 per pound, total amount of aprciots bought will be $6a

Also if b pound's of banana is for $4 per pound, total amount of banana bought will be $4b

If he spends a total of $24.50 on both banana and apricots, then:

6a + 4b = 24.50 ......... 2

The system of equations that represents the constraints in the situation is:

a + b = 5 ...........1

6a + 4b = 24.50 ......... 2

Answer: C

Step-by-step explanation:

Answer:

Everything with a dilation so B and E

Step-by-step explanation:

The second and last one, because dilations are only transformation that makes figures SIMILAR!

Answer:

20*15=300

He earned $300

Answer:

C) The resulting figure will be congruent to the original rectangle, because dilations with a scale factor of 1 have the same coordinates.

Step-by-step explanation: Multiplying any number by 1 will result in the same number, this applies to coordinates as well.  

Answer: 65.88 km/h

Step-by-step explanation:

When multiplying conversion factors, make sure the only remaining units are the desired units.

Answer:

-2x-24

Step-by-step explanation:

-5x+3x-24 = - 2x-24

Answer:

-2x-24 hope dis helped

Answer: x+5/21532020

Step-by-step explanation:

This question simply implies that if we need to know the chances of getting the  chance value it would be 21532030 times smaller for the x+5.

A. yes

B. Yes

C. No

Hope this helps :)

Answer:

5x^3-7x^2

Step-by-step explanation:

Answer: i think -26

Step-by-step explanation: (3ₓ³+ₓ²)+2(ₓ³-4ₓ²)=-26

Find roots (zeroes) of :       F(x) = 5x3+x2-32

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  5  and the Trailing Constant is  -32.

The factor(s) are:

of the Leading Coefficient :  1,5

of the Trailing Constant :  1 ,2 ,4 ,8 ,16 ,32

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -36.00      

     -1       5        -0.20        -32.00      

     -2       1        -2.00        -68.00      

     -2       5        -0.40        -32.16      

     -4       1        -4.00        -336.00      

Note - For tidiness, printing of 19 checks which found no root was suppressed

Polynomial Roots Calculator found no rational roots

-26

Answer:

B.) X less than or equal to 16.5

Step-by-step explanation:

If you take his limit, 40 and subtract the 7 dollars you will get 33. Then, divide that by two because he will need two tickets and you will get 16.5. It can't be greater than 16.5 because he will go over his budget.

Answer:

x ≤ 16.5

Step-by-step explanation:

40 ≤ 2t + 7 Subtract 7 from both sides.

40 - 7 ≤ 2t + 7 - 7

33 ≤ 2t Divide both sides by 2.

[tex]\frac{33}{2}[/tex] ≤ [tex]\frac{2t}{2}[/tex]

16.5 ≤ t or t ≥ 16.5

Answer:

Step-by-step explanation:

-1/3

The correct answer is option (3)

Hope It Helps Uh! ❤

Answer:

An easiest way to multiply without a calculator would be:

1) First multiply 44*4 = 176

2) Then count the zeroes in the question and add it to your answer. So your answer will look like: 1760000

Answer:

The answer will be $39  :)

Answer:

$39

Step-by-step explanation:

Answer: 15, and 44 are integers.

Step-by-step explanation: For 15 to be an integer, 15 has to be a whole number. Furthermore, for 15 to be an integer, you should be able to write 15 without a fractional or decimal component. 15 is a whole number that can be written without a fractional component, thus 15 is an integer, as well as 44.

Answer:

[tex]105 \frac{3}{10}[/tex], so most likely G

Step-by-step explanation:

[tex]105.3=105.30=105 \frac{30}{100} =105\frac{3}{10}[/tex]

First, we convert to a fraction. Then, we simplify.