Jack's brother is 14 years older than him. In six years time, Jack's brother will be twice as old as him. How old is Jack now?

Answer:

x = -8  x=1

Step-by-step explanation:

x^2 +7x = 8

Subtract 8 from each side

x^2 +7x -8 =0

Factor

What 2 numbers multiply to -8 and add to 7

8*-1 = -8

8+-1 = 7

(x+8)(x-1) =0

Using the zero product property

x+8 =0  x-1 =0

x = -8  x=1

Answer:

250 g

Step-by-step explanation:

160 g after two bites

80% after 1 bite

[tex]\frac{80}{100} =.8[/tex]

160 ÷ .8=200

200 ÷ .8=250

Answer:

250

Step-by-step explanation:

We start with the 100% and if we take 20% from that we get 80% if we take 20% from that we have 64%. This means 160 is 64%. So if we do 160/64*100 we will get the answer!

Answer:

a3 + b3 = a3 + b3

Step-by-step explanation:

I'm not sure what you are asking for but this equation is true if that's the problem.

Multiply all the variables and then combine like terms.

On the left side we end out as a3 + b3 which is equal to the right side. Hope this helps!

Answer:

486

Step-by-step explanation:

Answer:

625

Step-by-step explanation:

The maximum is the y-coordinate of the vertex. The vertex is (25, 625) so the answer is 625.

Answer:

x = 37/13

Step-by-step explanation:

26x=74

x=74/26

x=37/13

Since angle A and angle C forms side AC, AC is included between: A. ∠A and ∠C.

An included side is a side that is in between two angles in a triangle, where the rays of the angles overlap.

Thus, in triangle ABC, side AC lies in between angle A and angle C.

Therefore, since angle A and angle C forms side AC, AC is included between: A. ∠A and ∠C.

Learn more about included side on:

https://brainly.com/question/3168048

Answer: A

Step-by-step explanation:

Answer: Yes it's possible for Joshua to meet his goal of having $5,000 after 4 years.

Step-by-step explanation:

From the question, Joshua has $4,200 to invest for college which he invests $4,200 for 3 years and earns $630.

Interest = (Principal × Rate × Time)/100

630 = (4200 × R × 3)/100

630 = 12600R/100

12600R = 630 × 100

12600R = 63000

Interest rate =63000/12600 = 5%

Joshua's goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of return of 6%?

Interest = (Principal × Rate × Time)/100

Interest = (4200 × 6 × 4)/100

= 100800/100

= $1008

At the end of 4 years, Joshua will have:

= $4200 + $1008

= $5208

Yes it's possible.

Answer: (x+2)(x+3)

Step-by-step explanation:

Find the multiples of 6 and then see which two numbers adds up to 5

Answer : The equivalent expression of the given expression is 1.

Step-by-step explanation :

According to the BODMAS rule, when the expression contains brackets open ((), {}, []) we have to first simplify the bracket followed by of (powers and roots etc.) and then we have to solve the division, multiplication, addition and subtraction from left to right order (respectively).

The given expression is:

(11²)⁴ ÷ 11⁸

First we have to solve bracket.

= (11)⁸ ÷ 11⁸

By dividing this expression, we get:

= 1

Therefore, the equivalent expression of the given expression is 1.

Answer:

Step-by-step explanation:

4/18×2/92

=1/9×1/23

=1/207

1/9×3/63

=1/3×1/23

=1/69

12/14×1/84

=1/14×1/7

=1/98

1/7×5/65

=1/7×1/13

=1/91

17/20×1/61

=17/1220

4 1/4 ×3 1/22

=17/4×67/22

=1,139/88

=12 83/88

3 5/6×4 1/23

=23/6×93/23

=93/6

=15 3/6

=15 1/2

2 1/2×4 7/84

=5/2×343/84

=1715/168

=10 35/168

I have answered more than 2 from each set

This question is incomplete. Because it lacks the diagram of the Rectangular prism. Find attached to this answer the appropriate diagram.

Answer:

295.2 cm³

Step-by-step explanation:

A Rectangular Prism is a 3 dimensional geometric shape.

The formula used to calculate the volume of the Rectangular Prism = Length × Width × Height

Length = 15cm

Height = 4.8cm

Width = 4.1cm

Volume of the Rectangular Prism = 15cm × 4.8cm × 4.1cm

= 295.2 cm³

Answer:

295.2

Step-by-step explanation:

Got it right on the test. Your welcome and have a great day and God bless you all.

Answer:

Slope: 1/2

Step-by-step explanation:

Use rise over run.

Please mark BRAINLIEST! Thanks!

Answer:

D

Step-by-step explanation:

Plug in 6 as x in the function

h(6) = 3(6) - 4

h(6) = 18 - 4

h(6) = 14

Answer:

The answer is 14 because 3 x 6 is 18 and 18 - 4 is 14

Step-by-step explanation:

Step-by-step explanation:

∠1 = ∠4 = 57° (vertical angles)

∠6 = 123° (same side interior angles are supplementary)

Answer:

The answer is 123

Step-by-step explanation:

Angle 5 is the same measure as angle one, and a straight line measures 180 degrees. Subtract 57 from 180, and you get the remaining angle. 123 degrees.

Answer:

[tex]-6x+15<10-5x[/tex]

Step-by-step explanation:

[tex]-3(2x-5)<5(2-x)[/tex]

Distribute.

[tex]-6x+15<10-5x[/tex]

Add 5x and subtract 15 on both sides.

[tex]-6x-5x<10-15[/tex]

[tex]-1x<-5[/tex]

Multiply -1 on both sides.

[tex]x>5[/tex]

Answer:

its c the third equation and d the first graph.

Step-by-step explanation:

Answer:

1.28 Step-by-step explanation: got

Answer:

15/17

12/37

12/13

20/21

Step-by-step explanation:

5)

cos A = adj/hyp = 15/17

6)

cos C = adj/hyp = 12/37

7)

cos Z = adj/hyp = 36/39 = 12/13

8)

tan A = opp/adj = 20/21

Answer:

12.496

Step-by-step explanation:

Here, to calculate the sum of the first five terms of the series, we use the formula for the sum of terms in a geometric series.

Mathematically, that would be;

Sn = a(1-r^n)/1-r

where Sn = ?

a = 10

r = 1/5 = 0.2

n = 5

Substituting these values into the equation above, we have;

Sn = 10(1-(0.2)^5)/1-0.2

Sn = 10(0.99968)/0.8

Sn = 12.496

Answer:

2784 cm^2

Step-by-step explanation:

I have indicated in the pic there are 4 types of rectangles:

green : 20 x 4 = 80

red : 18 x 4 = 72

yellow : 20 x 18 = 360

blue : 18 x 16 = 288

green has 6 identical surface area so 6 x 80 = 480

red has 4 so 4 x 72 = 288

yellow has 4 so 4 x 360 = 1440

blue has 2 so 2 x 288 = 576

total : 480 + 288 + 1440 + 576 = 2784

Answer:

No solutions

Step-by-step explanation:

[tex]y=-\dfrac{1}{2}x+4 \\\\x+2y=-8[/tex]

Substitute:

[tex]x+2(-\dfrac{1}{2}x+4)=-8\\\\x-x+8=-8\\\\8=-8[/tex]

This system has no solutions.

Hope this helps!

Answer:

The  difference is  22.5 km

Step-by-step explanation:

CD = 4.5 cm

DE = 8 cm

       -----------

         12 .5 cm

CE = 5 cm

The difference is

12.5 - 5 = 7.5 cm

Then multiply by the scale factor

7.5 cm * 3 km /1 cm =22.5 km

Answer:

Yes it is

Step-by-step explanation:

If you us a formula you can predict data points that are not on a graph

Answer:

option 4

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]

Given

(2 - 5[tex]\sqrt{6}[/tex] ) 3[tex]\sqrt{2}[/tex] ← distribute parenthesis by 3[tex]\sqrt{2}[/tex]

= 6[tex]\sqrt{2}[/tex] - 15[tex]\sqrt{12}[/tex]

= 6[tex]\sqrt{2}[/tex] - 15[tex]\sqrt{4(3)}[/tex]

= 6[tex]\sqrt{2}[/tex] - 15([tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] )

= 6[tex]\sqrt{2}[/tex] - 15(2[tex]\sqrt{3}[/tex] )

= 6[tex]\sqrt{2}[/tex] - 30[tex]\sqrt{3}[/tex]

Answer: c

Step-by-step explanation:

I very easy solve for x> then you take -3 -2 1,0 in order to get your answer

Answer:

x = {-3, -2, -1, 0, 1}

Step-by-step explanation:

We need to find the set that satisfies the inequality x > -4 ∩ x ≤ 1.

∩ means find the members that are common between two sets.

This means that we need to find the set of all integers that satisfy x > -4 and x ≤ 1

So, to find the low end, we find the lowest integer that satisfies x > -4, which is -3.

Now, to find the high end, we find highest integer that satisfies x ≤ 1, which is 1.

So x = {-3, -2, -1, 0, 1}

Answer:

Mark gets £54

Step-by-step explanation:

Let Gavin share=x

Henry=3x

Mark=2(3x)

x+3x+2(3x)=£90

x+3x+6x=£90

10x=£90

x=9

Gavin=x=£9

Henry=3x

=3(9)=£27

Mark=2(3x)

=2(3*9)

=2(27)

=£54

Step-by-step explanation:

It might be easier thinking of "rate of change" as the slope. Since you'll be finding a slope, then, use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the values.

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{20-12}{8-6}\\m=\frac{8}{2} \\m=4[/tex]

Answer:

[tex]m=\frac{4}{1}[/tex] or [tex]m=4[/tex]