Work out the answers

Answer:

-4/3

Step-by-step explanation:

2^(8x-8)=4^7x

2^8x-8=4^7x

2^8x-8=4^2×7x

8x-8=2×7x

8x-8=14x

-8=14x-8x

-8=6x

-8/6=x

-4/3=x

x=-4/3

Answer:105

Step-by-step explanation:

Answer:16

Step-by-step explanation:

Answer:

[tex] \huge \boxed{0.231 =\frac{231}{1000}} [/tex]

hope this helps.

Answer:

60

Step-by-step explanation:

first you have to find 50% of 40 but multiplying 40 by .5 to get 20. then you add 20 to 40 to get your answer

Answer:

60!

Step-by-step explanation:

100% is 40

to increase that by 50, do 1.5 times 40

the answer to that is 60

Step-by-step explanation:

Amount of orange juice in 400ml glass

= 400ml * (40%/100%) = 160ml.

Amount of orange juice in 300ml glass

= 300ml * (1/2) = 150ml.

Since 150ml < 160ml, the 300ml glass contains less orange juice.

The second glass has less amount of orange juice.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Two glasses contain orange juice.

⇒ A 400ml glass is 40% full.

⇒ A 300ml glass is half full.

Now,

Since, Two glasses contain orange juice.

A 400ml glass is 40% full.

A 300ml glass is half full.

Hence, The amount of juice in first glass is,

⇒ 40% of 400

⇒ 40/100 × 400

⇒ 160 ml

And, The amount of juice in second glass is,

⇒ 300 / 2

⇒ 150 ml

Hence, The second glass has less amount of orange juice.

Learn more about the percent visit:

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Step-by-step explanation:

The given inequality is :

[tex]350\ge 125+15x[/tex] ....(1)

We need to draw graph of this inequality.

Subtract 125 from both sides.

[tex]350-125\ge 125-125+15x\\\\225\ge 15x[/tex]

Dividing 15 to both sides.

[tex]\dfrac{225}{15}\ge \dfrac{15x}{15}\\\\15\ge x[/tex]

Hence, the attached figure shows the graph for this inequality.

Answer:

Step-by-step explanation:

C

Answer:

Follow the steps above

Answer:

182

Step-by-step explanation:

starting from TU witch is 109 you keep adding so you get the eqation

109+158+199+262=728

then it's 728 divied by (/) 4 becase that is how many you added and you get 182 cars

9514 1404 393

Answer:

  Y = (-1, 5)

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so have the same midpoint. That is ...

  (M +R)/2 = (A +Y)/2

  Y = M + R - A . . . . . . multiply by 2 and subtract A

  Y = (-3, 1) +(5, 7) -(3, 3) = (-3 +5 -3, 1 +7, -3) . . . . . substitute point coordinates

  Y = (-1, 5)

Coordinate geometry was used to find Y that makes MARY a parallelogram. The fact that there is a solution is proof enough that MARY is a parallelogram.

_____

Your teacher may expect the "proof" to be either or both of ...

Given the method used above, both of these are unnecessary. However, in the interest of completeness, we will demonstrate.

Slope and Length of MA

  slope = (3 -1)/(3 -(-3)) = 2/6 = 1/3

  length = √(2²+6²) = √40

Slope and Length of AR

  slope = (7 -3)/(5 -3) = 4/2 = 2

  length = √(4² +2²) = √20

Slope and Length of RY

  slope = (5 -7)/(-1 -5) = -2/-6 = 1/3 . . . . same as opposite side MA

  length = √((-2)²+(-6)²) = √40 . . . . . . . same as opposite side MA

Slope and Length of YM

  slope = (1 -5)/(-3 -(-1)) = -4/-2 = 2 . . . . same as opposite side AR

  length = √((-4)² +(-2)²) = √20 . . . . . .  same as opposite side AR

Opposite sides have the same slopes, so the figure is a parallelogram.

Opposite sides have the same lengths, so the figure is a parallelogram.

Answer:

b

Step-by-step explanation:

i just took it on edge

Line c is a transversal of lines a and b. The blank space filled by b

According to the question blank statement is to be filled.
Line c intersects lines a and b. Line d intersects lines a and b
In the diagram, line c is a transversal of lines a and _____

A line is the shortest distance between two points or a straight curve with zero deflection in it.

Here,
If c intersects line a and line b, then line c is the transversal line for both a and b.

Thus, line c is a transversal of lines a and b.

Learn more about the line here:
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Answer:

the volume of the cone is

15in^3

Step-by-step explanation:

Step one:

parameters of the cone

radius r = 3 in

height h= 5 in

Step two:

the expression for the volume of the cone is

V= 1/3πr^2h

substitute

[tex]V= 1/3*3.142*3^2*5\\\\V=1/3*45\\\\V=15 in^3[/tex]

9514 1404 393

Answer:

  21.4  

Step-by-step explanation:

For this problem, you only need to know that the hypotenuse (x) is the longest side of the triangle. The only answer choice longer than 20 is ...

  x = 21.4

__

If you want to actually go through the numbers, you know that ...

  Cos = Adjacent/Hypotenuse

  cos(21°) = 20/x

  x = 20/cos(21°)

  x ≈ 21.4

Three quadratic equations that have one real solution are show below:

5x^2+3x^3+3^4 = 55

5x^2+3x^3+3^7 = 55

5x^2+3x^3+3^8 = 55

Answer: 38

Step-by-step explanation:

3.8=19/5

u have to flip the reciprocal to divide by fraction so 1/10 will be just 10

Then u get 19/5 x 10

You can reduce the GCF so it would be 19 x 2

19 x 2 = 38

Or you can plug it into your calculator (3.8 x .1)

Answer:

(-inf, 5)

Step-by-step explanation:

just the previous answer, in anothe r form

Answer:

yes

Step-by-step explanation:

A function shows the relationship between at least two variables. There are several ways to represent a function; some of them are:

Tables

The following table shows the relationship between two variables x and y

[tex]\left[\begin{array}{cccccc}x&1&2&3&4&5\\y&2&4&6&8&10\end{array}\right][/tex]

Equations

Notice that the y values of the above table are twice the corresponding x-values.

So, the equation can be represented as:

[tex]y = 2x[/tex]

Graphs

See attachment for the graph of [tex]y = 2x[/tex]

Verbal

As stated above, the value of y is twice the value of x.

The above statement is a verbal representation of a function

Hence, a function can be represented with a table, graph, equation and verbally.

Read more about functions at:

https://brainly.com/question/6241820

Answer:

180°

Step-by-step explanation:

The sum of the 3 interior angles of a triangle = 180°

Answer:

k = 1

Step-by-step explanation:

[tex]10=k+3+6k\\\\10=k+6k+3\\\\10=7k+3\\\\10-3=7k+3-3\\\\7=7k\\\\\frac{7=7k}{7}\\\\\boxed{1=k}[/tex]

Hope this helps.

Answer:

K=1

Step-by-step explanation:

So first you would add the K's together.(6k+k=7k)

10=7k+3

Then you would subtract 3 from 3 and 10

7=7k

Divide 7 on both sides

k=1

Hope that helps:)

9514 1404 393

Answer:

  d.  The triangles are not similar

Step-by-step explanation:

The angle between the given sides is the same, so we need to compare the side ratios. In ΔQRS, we have ...

  QR/RS = 4/15

In ΔVTU, we have ...

  VT/TU = 8/32 = 1/4 ≠ 4/15

The triangles are not similar because corresponding sides are not proportional.

Answer:

option d x^2 + 8x

Step-by-step explanation:

area of rectangle = l×b

=x×(x+8)

=x^2+8x

Answer:

The answer is 11/14 ft^2 or pi/4 ft^2

Step-by-step explanation:

The area of the sector bounded by that angle measure will be the area of the circle divided by 4

Area of the circle is;

pi * r^2

so the area here is;

22/7 * 1 * 1 = 22/7

divide this by 4

= 22/28 = 11/14 ft^2

Answer:

5

Step-by-step explanation:

a^2 +b^2 = c^2

4^2 +3^2 =c^2

16 + 9 =c^2

25= c^2

5=c

Answer:

0.6 feet

Step-by-step explanation:

We solve this question using the Trigonometric function of Tangent.

tan θ = Opposite/Adjacent.

Where:

Opposite = Height /Length of the ramp = ?

Adjacent = Distance from the base of the ramp = 4 feet

θ = 8.1°

Therefore,

tan 8.1° = x/4

Cross Multiply

x = tan 8.1 × 4

x = 0.5692843028 feet

Approximately = 0.6 feet

Length of the ramp = 0.6 feet.

Answer:

the value of x in x? (-8x = 24) - 6x +18 - 122 is x=40

Hope you do good :)

Answer: b - 9 = 7.

Step-by-step explanation: