A car is traveling at a steady speed. It travels 2 1/2 miles in 3 1/3 minutes. How far will it travel in ​21 minute? In ​1 hour?

Answer:

75m

Step-by-step explanation:

They are similar triangles: they have two corresponding angles: in a triangle with an angle of 90°, the other two will be of 45°.

Now that we know they are similar, we can calculate the ratio of the sides, by doing 10/2=5

We want to know the side AT, so we can do that by multiplying DC for 5:

DC = 15 × 5 = 75m

You can also check this by applying Pythagoras' Theorem:

DB =

[tex] \sqrt{15^{2} + 2^{2} } [/tex]

Which equals 15.1 m

The hypotenuse of the other triangle is 15.1 × 5 = 75.5 m

Finally, we can apply for the last time the Pythagoras' Theorem to find AT:

[tex] \sqrt{75.5^{2} - 10 {}^{2} } [/tex]

Which equals 74.8 = 75 m

Answer:

32

Step-by-step explanation:

There are 80 biscuits inside the tin.

Also, they said that those biscuits are in the ratio

Short bread    :      Choc - chip

          2          :        3

Altogether there are 5 shares ( 2 + 3)

And now you can divide 80 by 5 to find how many biscuits contain per a share.

80 ÷ 5 = 16

In the question, they asked us to to find the number of short biscuits inside the tin.

Let us find that.

There are 2 shares for short bread biscuits.

So,

Number of short biscuits ⇒ 2 × 16

                                         ⇒ 32

Hope this helps you :-)

Answer:

87 or 88

Step-by-step explanation:

86 is 98% of 87.755102

So, the number of problems must have been 87 or 88

Answer:

17 coaches

Step-by-step explanation:

820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17

Answer:

17 coaches  

Step-by-step explanation:

820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17

i.e

[tex]\\ \sf{:}\Rrightarrow -4+6=2[/tex]

New co-ordinates:-

[tex]\\ \sf{:}\Rrightarrow F(2,6)[/tex]

Answer:

Step-by-step explanation:

It is assumed the triangles in the picture are similar.

As per similarity, the ratio of corresponding sides is same.

Compare the ratios and find the value of x:

Find the length of MN:

[tex]\\ \sf\longmapsto \dfrac{12}{5}=\dfrac{2x-4}{15}[/tex]

[tex]\\ \sf\longmapsto 15(12)=5(2x-4)[/tex]

[tex]\\ \sf\longmapsto 180=10x-20[/tex]

[tex]\\ \sf\longmapsto 10x=200[/tex]

[tex]\\ \sf\longmapsto x=20[/tex]

Answer:

-12

Step-by-step explanation:

To find the ration, take the second term and divide by the first term

-4/3 ÷ 4/9

Copy dot flip

-4/3 * 9/4

-3

Multiply each term by -3

4*-3 =-12

hope it helps sorry if it doesn't

Answer:

b

Step-by-step explanation:

Answer:

 B.  4200

Step-by-step explanation:

A suitable calculator can add the terms for you. (See attached)

__

The first term is 69, and the common difference is 75-69 = 6. The general term is ...

  an = a1 +d(n -1)

  an = 69 +6(n -1)

Then the 28th term is ...

  a28 = 69 +6(27) = 231

The average term is (a28 +a1)/2 = (231 +69)/2 = 150.

The sum is the number of terms multiplied by the average term:

  sum = 28×150= 4200

Answer:

Not Similar because they don't have equivalent angles.

Step-by-step explanation:

First one is D

Second one is A

The Triangle XYZ is Congruent to PQR by ASA congruence, the Triangle XYZ is Congruent to MNO by SSS congruence, the Triangle XYZ is Congruent to STU by SAS congruence

A triangle is a polygon with three sides, they are classified as acute angle triangle, right angle triangle, obtuse angle triangle on the basis of angles subtended by the vertices.

The triangles PQR, MNO, XYZ, STU can be seen in the figure

Triangles PQR, MNO, and STU, which have resulted from rotating, reflecting, and translating triangle XYZ.

The Triangle XYZ is Congruent to PQR by ASA congruence

From the image

XY = PQ  

∠YXZ= ∠QPR

∠YZX = ∠PQR

The Triangle XYZ is Congruent to MNO by SSS congruence

From the image

XY= MN

YZ=ON

ZX=OM

The Triangle XYZ is Congruent to STU by SAS congruence

XY = ST

∠YXZ=∠TSU

XZ= SU

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Answer:

Step-by-step explanation:

3x(5x+8y)=15x^2+24xy

4x(3x^2+5x-7)=12x^3+20x^2-28x

(3x+4y)(2x-7y)=6x^2+8xy-21xy-28y^2=6x^2-13xy-28y^2

(2-3a)(2a^2-3a+7)=4a^2-6a+14-6a^3+9a^2-21a=-6a^3+13a^2-27a+14

Answer:

43/10 pounds = 4 3/10 pounds

Step-by-step explanation:

for this you want to subtract 6 7/10 minus 2 2/5. You first have to get a common denominator and find the numerator then subtract.

Answer:

3.636 hour. dividing 200miles /55m/h =3.636h

Answer:

3 hours 38 minutes is what calculators online say

Step-by-step explanation:

You should put both answers that were given to you. The answer on top seemed to do it the mathematical way youre suppose to. Maybe the teacher will take both answers i don’t know

Answer:

Sum of exterior angle is [tex]360^0[/tex]

Value of each exterior angle is [tex]120^0[/tex]

Step-by-step explanation:

Sum of interior angles of a polygon with n sides [tex]=(n-2)\times180[/tex]

Here

[tex](n-2)180=180\\\\n=3[/tex]

Hence the polygon is triangle

Sum of exterior angle is [tex]360^0[/tex]

Sum of one exterior angle

[tex]=\frac{360}{3} \\\\=120^0[/tex]

Answer:

2. The two interior opposite angles of an exterior angle of a triangle are and . Find the measure of the exterior angle. 

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Well, if 4/10 work part time, 4/10 converted to percentages is 40%.

Answer:

Option A: (-10,0)

Step-by-step explanation:

The given equation of the parabola is in the form of [tex]y^2=4ax[/tex] where the focus is located at [tex](a,0)[/tex]. Therefore, the focus of the parabola is [tex](-10,0)[/tex].

Answer:

Answer: 31

Step-by-step explanation:

[tex]{ \rm{45 - ( {}^{ + } 14)}} \\ \\ = { \rm{45 - 14}} \\ \\ = { \rm{31}}[/tex]

Answer:

31

Step-by-step explanation:

(45)-(+14)

This is asking us to take 45 [(45)] and subtract 14 [-(+14)]

That is 45 - 14 = 31

The expression "-(+14)" is a deliberate attempt to confuse.  It says "subtract a positive 14."  There was no need to add the "+" sign in the parentheses, since a positive value is always assumed.  But it was added here to promote heartburn and the sale of TUMS.  When I see something like "-(+10000)," I immediately change it to "-10000" and move on, adding one demerit to the author of the problem.

Answer:

formula for area is length × height

so we have 13+8 ×16+4

21×20 = 420m

[tex]10x+4y=16\\\\\implies 4y = 16-10x\\\\\implies y =\dfrac14(16-10x)\\\\\implies y = 4 - \dfrac 52 x\\\\\implies y=-\dfrac 52 x +4\\\\\text{This is the slope - intercept form (y=mx+b).}[/tex]

Answer:

y = - 2.5x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

10x + 4y = 16 ( subtract 10x from both sides )

4y = - 10x + 16 ( divide through by 4 )

y = [tex]\frac{-10}{4}[/tex] x + 4 , that is

y = - 2.5x + 4 ← in slope- intercept form

Answer:

(12 x 12) - 44 = 100

Step-by-step explanation:

Answer:

B Exponential

Step-by-step explanation:

Hope this helps

The equation for the fruit fly population doubling every 3 hours would be exponential.

Exponential growth occurs when a quantity increases at a fixed percentage over fixed intervals of time. In this case, the population of fruit flies doubles, which means it is increasing by 100% every 3 hours.

The general form of an exponential growth function is given by: y = a * b^x

Where:

- y is the final quantity or population size after x intervals of time.

- a is the initial quantity or population size at the beginning (in this case, the initial number of fruit flies).

- b is the growth factor (in this case, b = 2 since the population doubles every 3 hours).

- x is the number of intervals of time (in this case, the number of 3-hour periods).

In the context of the fruit fly population, the equation would be in the form of y = a * 2^x, where the population of fruit flies increases exponentially as time passes. This is why the equation is exponential.

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Answer:

C

A. X-intercept (6,0) and y-intercept (0,-8) wrong

B. x-intercept (-8,0) and y-intercept (0,6)wrong

C. x-intercept (4,0) and y-intercept (0,-3) correct

D. x-intercept (-3,0) and y-intercept (0,4) wrong

Answer:

You cannot expect someone to type the "right" answer if you dont put the time to even spell it out correctly next time think abt it a bit more ^^

The correct answer is m<- 2  7/12

Step-by-step explanation:

This is for the k12 6.01 Quiz: One-Step Addition or Subtraction Inequalities

Good luck everyone of the rest !!!!

The solution for [m] belongs tot he set as : m ∈ (- ∞, -227).

Given are the inequalities and it is asked to solve for [m].

The given inequalities are given as follows -

m + 13 < − 214

m > − 11112

m > − 2712

m < − 11112

m < − 2712

Now, we can write -

m + 13 < − 214

m < - 214 - 13

m < - 227

Remaining all inequalities are far far smaller than -227. So, we can say that the solution for m as : m ∈ (- ∞, -227)

Therefore, the solution for [m] belongs tot he set as : m ∈ (- ∞, -227).

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Answer:

3-4

because 12 ÷4 is 3 but there is 13 so you add 1 ball so in each there is

4 3 3 3

Because it is an isosceles triangle, the 2 sides that are given will be equal to each other.

15=4x+3

(subtract 3 on both sides)

12=4x

(divide by 4 on both sides)

x=3

Hope it helps!

Answer:

x = 3.

Step-by-step explanation:

1. 4x + 3 = 15

2. Subtract 3 from both sides.

3. Divide by 4 from both sides.

Answer:

whats the whole question

Step-by-step explanation: