Jim rented a truck for one day. There was
base fee of $17.95, and there was an additional charge of 87 cents for each mile driven, Jim had to pay $153.67
when he returned the truck. For how many miles did he drive the truck?

Answer:

21.c

22.b

23.c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Fraction:

0.8 = 8/10 = 4/5

Percent:

0.8*100 = 80%

Answer:

0.8 can be written as

8/10 and

Percentage = 8/10 × 100

Percentage = 8 × 10

Percentage = 80%

Or,

Simply

Percentage = 0.8 × 100

Percentage = 80%

[tex] \\ [/tex]

Answer:

the slope of both lines are the same.

Step-by-step explanation:

Given the following segment of the Quadrilateral EFGH on a coordinate  Segment FG is on the line 3x − y = −2,

segment EH is on the 3x − y = −6.

To determine their relationship, we can find the slope of the lines

For line FG: 3x - y = -2

Rewrite in standard form y = mx+c

-y = -3x - 2

Multiply through by-1

y = 3x + 2

Compare

mx = 3x

m = 3

The slope of the line segment FG is 3

For line EH: 3x - y = -6

Rewrite in standard form y = mx+c

-y = -3x - 6

Multiply through by-1

y = 3x + 6

Compare

mx = 3x

m = 3

The slope of the line segment EH is 3

Hence the statement that proves their relationship is that the slope of both lines are the same.

The slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

The slope of the line segment FG can be found by comparing the equation with the equation of the line. Therefore,

y = mx + c

-2 = 3x - y

- 2 - 3x = -y

y = 3x + 2

Thus, the slope of the equation is 3.

The slope of the line segment EH can be found by comparing the equation with the equation of the line. Therefore,

y = mx + c

3x - y = -6

-y = 6 - 3x

y = 3x+6

Thus, the slope of the equation is 3.

Since the slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.

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Answer:

D: all real numbers,  R: y ≤ -4

Step-by-step explanation:

R: y ≤ -4

Because the line doesn't go beyond -4.  

A. Angle E = 113°

B. x = 16°

Number A

92 + 70 + 85 + ? = 360

162 + 85 + ? = 360

247 + ? = 360

? = 360 - 247

? = 113°

Number B

108 + 84 + ( x + 30 ) + ( 2x + 18 ) = 360

(180 + 84 + 30 + 18) + (x + 2x) = 360

312 + 3x = 360

3x = 360 - 312

3x = 48

x = 48/3

x = 16°

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Answer:

 =  1 0

Step-by-step explanation:

Solve

1. Combine like terms

2  +  2 0  + 2  =  6 0

4  +  2 0  =  6 0

2. Subtract  20  from both sides of the equation

4  +  2 0  =  6 0

4  +  2 0  −  2 0  =  6 0  −  2 0

3. Simplify

4  +  2 0  −  2 0 =  6 0  −  2 0

4  =  6 0  −  2 0

4 =  6 0  −  2 0

4  =  4 0

4. Divide both sides of the equation by the same term

4x = 40

4x/4 = 40/4

5. Simplify

4x/4 = 40/4

x = 40/4

x = 40/4

x = 10

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]\angle C= 180 - ( 26 + 51 )\\\\C = 103^{\circ}[/tex]

applying the law of sines to find the unknown sides:

[tex]\to \frac{a}{\sin A} = \frac{c}{\sin C}\\\\\to \frac{a}{\sin 26} = \frac{28}{\sin 103}\\\\a=\frac{28 \times \sin 26 }{\sin 103}\\\\a=\frac{28 \times 0.438371147 }{0.974370065}\\\\a=\frac{12.2743921 }{0.974370065}\\\\a=12.597259\\\\a=12.59\\\\a = 12.6 \ m\\\\[/tex]

[tex]\to \frac{b}{\sin 51} = \frac{28}{\sin 103}\\\\\to b=\frac{28 \times \sin 51 }{\sin 103}\\\\b=\frac{28 \times 0.777145961 }{0.974370065}\\\\b=\frac{21.7600869 }{0.974370065}\\\\b=22.3324681\\\\b=22.3\\\\b = 22.3 \ m\\\\[/tex]

so,

[tex]\angle C = 103^{\circ}\\\\\to AC = 22.3\ m\\\\\\to BC = 12.6 \ m[/tex]

Answer

measure of angle A: 28 degrees

BC ≈ 13.3

BA = 28.3

hope this helps

Step-by-step explanation:

angle A

90- 62 = 28

angle A = 28

BC

tan (A) = BC / 25

(25) tan 28 = BC / 25 (25)  multiply 25 on both sides to cancel it out from BC

13.292735 = BC

BC ≈ 13.3

BA

BA^2 = 13.3^2 + 25^2  Pythagorean theorem

BA ≈ 28.3

If any of these are wrong, just follow the steps and make sure to use Ans in the calculator instead of rounding your numbers! Good luck :)

Answer:

Step-by-step explanation:

1 : 2 = 3 : 6

6 parts vinegar

Social Studies is 90

Language Arts is 94

Social Studies : Language Arts

4.5 × 50 = 225 miles

Answer:

The question which ask to select among the choices the equation that Alejandria should write to represent the new line where as the equation she wrote is y-3=x-10 and the answer would be that the form in this equation is y=x-13 and if the slope is 2 then it is y=2x-13

Step-by-step explanation:

plz mark me as brainliest

Answer:

a = 1.4 and d = 6.9

Step-by-step explanation:

To get the value of d and a, we will use the SOH CAH TOA identity

For the first tringle;

Opposite = d ((opposite angle 60 degrees)

Adjacent = 4

Tan theta = opp/adj

Tan 60 = d/4

d  = 4tan60

d = 4(1.732)

d = 6.9

For the second triangle;

Opposite = a

Hypotenuse = 2

Since sin theta = opp/hyp

Sin45 = a/2

a = 2sin45

a = 2(0.7071)

a = 1.4

Hence a = 1.4 and d = 6.9

hello

so these angles you can apply the "vertically opposite angles are equal" rule

angle "A" is vertically opposite to 138º so therefore angle "A" is 138º

angle "B" is verticall opposite to 42º so therefore angle "B" is 42º

hope this helped and have good day :)

Answer:

false

Step-by-step explanation:

I say false because the multiplicative inverse of 0 is undefined and the multiplicative inverse tells us that when you multiply a number by its inverse the product will be1 think the multiplicative inverse of 0 is undefined.

Answer:

x=3

Step-by-step explanation:

Sub y=x-1 into 2x+y=8.

You will get 2x+x-1=8.

Simplify 3x-1=8

Solve 3x=9

x=3

Answer:

Step-by-step explanation:

i dont nkoe

Answer:

As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.

Step-by-step explanation:

As the standard deviation for the past due amounts is 63

The sample size n= 67

1) Formulate the null and alternate hypothesis

H0: u ≤ 23 against the claim Ha: u > 23

2)  The test statistics is

Z= x- u / σ/ √n

z= 20- 23/ 63/ √67

z= 0.00581

z= 0.006

3) The significance level ∝= 0.1

4) The critical value for ∝= 0.1 is Z > ±2.33

5) As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.

Answer: <

6.12 x 10^4 < 612,000

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

because 6.12 × 10^4 = 61,200 and 612,000 is obviously a way bigger number, so greater than symbol is the correct answer.

Answer:

3 cents

Step-by-step explanation:

cost of  20 markers=$6

cost of 1 marker=?

Cost of 1 marker = 6/20 = 3/10 = 0.3

It costs 3 cents.

Answer:

Step-by-step explanation:

Answer:

$21.25

Step-by-step explanation:

$25 x 0.85 = $21.25

The answer is C aka answer 3

Answer:

1. x+y=20,000

2. 105x+75y=$1,740,000

Step-by-step explanation:

let x be the stage level seats and y be the higher level seats.

Answer:

g=dx

Or, if you'r wanting the solved equation..

12 = 0.5 x 24

Step-by-step explanation:

If she has 12 gallons in her tank and you look at what it's asking us to do, "..number of gallons of gas, g" pairs up with the 12 gallons while the 0.5 gallons used per day pairs with "...the number of days, d, she has driven to school."

Hope this helped!

Answer:

The angle between the two vectors

∝ = 64°

Step-by-step explanation:

Step(i):-

Given that the vectors

                           [tex]a^{-} = i^{-} - 2j^{-} +5k^{-}[/tex]

          and

                         [tex]b^{-} = 3i^{-} +j^{-} -2k^{-}[/tex]

[tex](a^{-} . b^{-} ) = (i^{-} - 2j^{-} +5k^{-} ) . (3 i^{-} + j^{-} - 2k^{-} )[/tex]

           =  3 (i⁻ . i⁻) - 2(j⁻.j⁻) -10(k⁻.k⁻)

          = 3 - 2 -10

          = -9

Step(ii):-

Let '∝' be the angle between the two vectors

                    [tex]cos\alpha = \frac{a^{-}.b^{-} }{|a||b|}[/tex]

                  [tex]cos\alpha = \frac{|-9| }{\sqrt{1+4+25}\sqrt{9+1+4} }[/tex]

                 [tex]cos\alpha = \frac{|-9| }{\sqrt{30}\sqrt{14} }[/tex]

               [tex]\alpha =cos^{-1} ( \frac{|-9| }{\sqrt{30}\sqrt{14} })[/tex]

              ∝ = cos⁻¹(0.4392) = 63.947

Final answer:-

The angle between the two vectors

               ∝ = cos⁻¹(0.4392) = 63.947

                ∝ = 64°

Answer:

The missing number of chicken nuggets is 5.

Step-by-step explanation:

To find the mean of this data set, we must add every number together, then divide the sum by how many numbers are present.

Like this,

1 + 3 + 0 + 6 = 10

10 / 4 = 2.5

There are 4 present numbers in this data set, and one is missing.

Since the only number divided by 5 that would give you a quotient of 3 is 15, the missing number is 5.

Because,

1 + 3 + 0 + 6 + 5 = 15

15 / 5 = 3

Therefore, 5 is the missing number of the data set.

Answer:

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

−

7

−

1

8

=

0

5x^{2}-7x-18=0

5x2−7x−18=0

=

5

a={\color{#c92786}{5}}

a=5

=

−

7

b={\color{#e8710a}{-7}}

b=−7

=

−

1

8

c={\color{#129eaf}{-18}}

c=−18

=

−

(

−

7

)

±

(

−

7

)

2

−

4

⋅

5

(

−

1

8

)

Step-by-step explanation:

The solutions to the quadratic equation 5x² - 7x - 18 = 0 are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].

Given the quadratic equation in the question:

5x² - 7x - 18 = 0

Compared to the standard form ax² + bx + c = 0:

a = 5, b = -7 and c = -18

To find the solutions to the quadratic equation, we use the quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a}[/tex]

Plug in the values and simplify:

[tex]x = \frac{-(-7)\±\sqrt{(-7)^2 - 4(5*-18)} }{2*5} \\\\x = \frac{7\±\sqrt{( 49 +360)} }{10} \\\\x = \frac{7\±\sqrt{ 409} }{10} \\\\x = \frac{7-\sqrt{ 409} }{10}, \frac{7+\sqrt{ 409} }{10}[/tex]

Therefore, the values of x are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].

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Answer:

Don't understand 12am like how