A car travels a distance of 300 miles along a straight road from point A to point B. The car maintains a speed of 30 miles pr
hour (mph) during the first 150 miles and a speed of 50 mph during the remaining 150 miles. What is the average speed of
car for the whole trip?
O20.0 mph
37.5 mph
40.0 mph
O45.0 mph
O80.0 mph
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Answer:

R

H

S

=  cos

2

x

Step-by-step explanation:

Hope this helped!

Answer:

Step-by-step explanation:

Solution

This (after combining the top 2 fractions, is a 4 tier fraction.

1/4*3/4 = 3/16

So the question now becomes 3/16 ÷ 10/3

The rule for such a question is invert (turn up side down) the second fraction and multiply.

3/16 * 3/10                   Combine

(3*3)/(16* 10)          

9 / 160

0.05625

[tex]\bf{\dfrac{1}{4}\times\dfrac{3}{4}\div\dfrac{10}{3} }[/tex]

Multiply 1/4 by 3/4 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

[tex]\bf{\dfrac{1\times3}{4\times4}\div\dfrac{10}{3} \ \ \to \ \ \ Multiply.}[/tex]

Do the multiplications in the fraction 1 × 3 / 4 × 4.

[tex]\bf{\dfrac{3}{16}\div\dfrac{10}{3} }[/tex]

Divide 3/16 by 10/3 by multiplying 3/16 by the reciprocal of 10/3.

[tex]\bf{\dfrac{3}{16}\times\left(\dfrac{3}{10}\right) }[/tex]

Multiply 3/16 by 3/10 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

[tex]\bf{\dfrac{3\times3}{16\times10 } \ \ \to \ \ \ Multiply }[/tex]

Do the multiplications in the fraction 3 × 3 / 16 × 10

[tex]\bf{\dfrac{9}{160} \ \ \to \ \ Answer }[/tex]

[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

Answer:

[tex]\fbox {D. 10}[/tex]

Step-by-step explanation:

As the triangles are similar :

45/55 = (12x - 3)/143

9/11 = (12x - 3)/143

9 x 13 = 12x - 3

12x = 117 + 3

12x = 120

x = 10

Answer:

D. 10

Step-by-step explanation:

We can use similar triangles to solve this question. ΔRSE ≅ ΔFGE by SAS. We can set up this similarity equations: [tex]\frac{SE}{GE} = \frac{RE}{FE}[/tex] . Plugging in the numbers from the diagram, we get [tex]\frac{45}{12x-3} = \frac{55}{143}[/tex] . Using cross multiplication, we get the following equation:

[tex]45 * 143 = 55 *(12x-3)\\ 6435 = 660x - 165\\6600 = 660x\\x = 10[/tex]

Our final answer is D. 10

Answer:

C

Step-by-step explanation:

Answer:

Please review the question.  I don't see a diagram. And the "expressions" are just numbers.

Step-by-step explanation:

The expressions aren't really expressions.  There are no variables (x or y).

-6 - (-1)   is -5

-6 - 1      is -7

-5 - (-1)   is -4

-5 -1       is -6

We don't know if these are values of x or y, so the diagram could only be a series of dots on a number line.

a)

We know that a 4-sided polygon's angles add up to 360 degrees

so to find x:

360-(69+118+84)=89 degrees

b)

For a 4-sided polygon we also know that the outside angles add up to 360 degree.

so to find p:

360-(100+62+106)=92 degrees

Hope it helps!

Answer:

1/6

Step-by-step explanation:

the total carrot is 1/1 and fluffy ate 1/2 of it . this means half has been eaten and it is left with half so now 1/2 -1/3 ( carrot left in the morning - the carrot left now ) this will be 1/6

f(-2) = 2(-2)² - 8(-2) + 6 = 30

f(-1) = 2(-1)² - 8(-1) + 6 = 16

f(0) = 2(0)² - 8(0) + 6 = 6

f(1) = 2(1)² - 8(1) + 6 = 0

f(2) = 2(2)² - 8(2) + 6 = -2

Each step of the proof are:

The given parameter is:

Lines a and b are parallel.

This is represented as; a || b

Corresponding angles are equal.

∠1 and ∠5 are corresponding angles.

So, we have: ∠1 ≅ ∠5

Also, they are congruent.

So, we have ∠1 ≅ ∠5

Vertical angles are equal.

∠5 and ∠7 are vertical  angles.

So, we have: ∠5 ≅ ∠7

Also, they are congruent.

So, we have ∠5 ≅ ∠7

According to the transitive property;

If ∠1 ≅ ∠5 and ∠5 ≅ ∠7, then ∠1 ≅ ∠7

Hence, it has been proved that ∠1 ≅ ∠7

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Answer: 55[tex]m^{2}[/tex]

Step-by-step explanation:

First find the area of the trapezoid: [tex]\frac{b1 +b2}{2}[/tex](h) : (base 1 + base 2) ÷ 2 x height

base 1 is 5m and we know the other base is parallel to the base of the rectangle so base 2 is 9m.

Since the total height is 7 m and the height of the rectangle is 5 m, subtract to get the height of the trapezoid: 7m - 5m = 2m

put the three values into the equation and solve:

(5m + 9m) ÷ 2 x 2m

(14m) ÷ 2 x 2m

7m x 2m

14[tex]m^{2}[/tex]

Find area of the rectangle which is just base x height

Which is 9m x 5m = 45[tex]m^{2}[/tex]

To find the total area, add the area of the trapezoid and the area of the rectangle. 14[tex]m^{2}[/tex] + 45[tex]m^{2}[/tex] = 55[tex]m^{2}[/tex]

Hope this helps

Answer:

62m^2

Step-by-step explanation:

From the figure above, we have two rectangles

For one rectangle,

Lenghts= 7m

Width = 6m

Area = lenght× width = 7×6= 42m^2

For the sect rectangle

Lenght = 5cm

Width = 4cm

Area = 5×4 = 20cm^2

Area of jack patio = 42+20= 62m^2

Answer:

Maybe the answer will be C. P (A and B )

Ans: C

Explanation:

I think it is option c , P(A and B)

as this is the only option which has the value of 80, which we got from the table

Answer:

[tex] {x}^{2} + {y}^{2} = 100[/tex]

The equation of the circle is x² + y² = 100.

Option A is the correct answer.

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

The circle's equation is:

x² + y² = r²

where r is the length of the radius.

In this case, r = 10, so the equation becomes:

x² + y² = 10²

Simplifying:

x² + y² = 100

Therefore,

The equation of the circle is x² + y² = 100.

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Answer:

Ok ya sure I would love to. :)

Step-by-step explanation:

Oh wait….

*Crickets chirping*

Answer:

(-1 ; 3)

Step-by-step explanation:

when they say find the ordered pair they simply mean find the corresponding y value when x = -1

* where you see x substitute-1 *

f(-1) = 3(-1) + 6

=3

Answer:

4y⁷x²

Step-by-step explanation:

    Prime factorize each expression.

28y⁷x² = 2 * 2 * 7 * y⁷ * x²

8y⁸v⁴x⁶ = 2 * 2 * 2 * y⁸ * v⁴ * x⁶

GCF = 2 * 2 *y⁷*x²

        = 4y⁷x²

The complete question says: Let v, w, be vectors of [tex]\mathbb{R}^4[/tex]. Let A be a matrix with 4 columns v, w, 2v+w, v-w. What are the possible values for rank(A)?

The possible values for rank A = 2

A vector space is a space that contains vectors as well as the associative including the commutative operation of vector addition and the associative, as well as, distributive operations of vector multiplication by scalars.

From the information given:

where;

However, the vectors 2v+w and v-w can be expressed as a linear combination of the given values of v and w(independent vectors).

We can conclude that the maximum no. of independent rows = 2. Hence, the possible rank of matrix A is 2.

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The volume of the spherical ball will be  4 · π · 3² · 10⁶ cubic cm. Then the correct option is A.

The complete question is attached below.

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

The radius of the sphere is 3·10² cm.

Then the volume of the spherical ball will be

V =  4/3 πr³

V =  4/3 π(3 x 10²)³

V =  4/3 · π · 3³ · 10⁶

V =  4 · π · 3² · 10⁶ cubic cm

Then the correct option is A.

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As the travelling distance to work increases, number of such people decreases. Therefore this distribution shape will be skewed right.

On each weekday, the number of sleeping hours generally remains the same. So the shape of the distribution will be uniform.

In general, most people will have their first heart attack at a higher age. So the shape of the distribution will be skewed left.

Scores of GRE will have a normal distribution in general. So the shape of the distribution will be symmetric.

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The cost price of pawpaw is 40 and the cost if the basket of mangoes is 1250.

Based on the information given, the equations to solve the question will be:

30p + 100m = 2450 .... i

1.3 × 40p - 30 p + 1.3 × 100m = 855 ..... ii

30p + 100m = 2450

12p + 30m = 855

Solving simultaneously, the price of pawpaw is 40 and the price of mango is 12.5.

Therefore, the cost of 100 basket of mangoes will be:

= 12.5 × 100

= 1250

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Answer:

A = 42 cm²

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

here b = 6 and h = 7 , then

A = 6 × 7 = 42 cm²

Answer:

3/216

Step-by-step explanation:

The sample space for this experiment is 6^3 which is 216

there are three prime numbers on  die

namely 2 , 3 and 5

so the probability of getting a prime number on all three roles would be

(3/6)^3

The volume of the cylinder is in the cubic cm is 311017.67 and in litres is 311.017, and the number of bottle is 426.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

We have:

The radius of the cylindrical barrel r = 30 cm

Height of the cylindrical barrel h = 110 cm

Volume:

[tex]\rm V = \pi (30)^2 (110)[/tex]

V = 311017.67 cubic cm

The volume of litres:

V = 311.017 cubic ml  (1 liter = 1000 cubic cm)

Number of bottles = 311.017 /0.73= 426 bottles

Thus, the volume of the cylinder is in the cubic cm is 311017.67 and in litres is 311.017, and the number of bottle is 426.

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Answer:

the portion of a solid that lies between one or two parallel planes cutting it

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\dfrac{6}{10}=0.6}[/tex]

Step-by-step explanation:

[tex]0.6=\dfrac{6}{10}[/tex]

one digit after the decimal point - one zero in the denominator

[tex]0.06=\dfrac{6}{100}[/tex]

two digits after the decimal point - two zeros in the denominator

[tex]6.0=6[/tex]

[tex]1.6=1\dfrac{6}{10}\ \text{or}\ 1.6=\dfrac{16}{10}[/tex]

Answer:

49(17 + 3)

Step-by-step explanation:

The Distributive Law says [tex]a(b+c)=ab+ac[/tex].  But it can be used in the other direction,  [tex]ab+ac=a(b+c)[/tex].  That way, you look at ab and ac to find the common factor a.  What's playing the role of  a  in the expression 49 x 17 + 49 x 3?  It's 49, the factor that shows up twice.  That's the factor that can be taken outside the parentheses.

49 x 17 + 49 x 3 = 49(17 + 3)

The statement best describes Cheryl's computer is option C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph.  

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

If we know that the function crosses the x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

Let's assume the graph of Cheryl's commute was like the one below.

We can see that she started at 0 mph.  

One minute later, she was up to 65 mph, so she had accelerated (increased her speed).

At 6.5 min (5.5 min later) her speed was still 65 mph therefore, she was driving at a constant speed.

Over the next 2.5 min, her speed dropped to 45 mph, therefore she was decelerating.

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