a couple is blessed with a boy and a girl. In four years time the sum of their ages will be 29 years . what is the age of the boy.​

Answer: no solutions

Step-by-step explanation:

6x+4x-1=2(5x+4)

10x-1=10x+8

+1 +1

10x=10x+9

The equation is not true. It has no solutions.

Answer:

x = 15

Step-by-step explanation:

Supplementary = 180 °

Add the numbers

[tex](2x + 20) + 130 = 180[/tex]

[tex]2x + 150 = 180[/tex]

Subtract 150 from both sides of the equation

[tex]2x+150- 150 =180 - 150[/tex]

Simplify

[tex]2x = 30[/tex]

Divide both sides of the equation by the same term

[tex]\frac{2x}{2} =\frac{30}{2}[/tex]

Simplify/Solution =

[tex]x=15[/tex]

Hence, x = 15.

[RevyBreeze]

Answer:

Your answer is 580

Step-by-step explanation:

Answer:

y=3x-1

y=3x+4

this has no solutions from looking at this we can see that the slope is the same so thats means that these are parell and will never cross and will never intersecet

another way to look at this is if we look at these equation

so we now that y=y so

3x-1=3x+4

+1

3x=3x+5

-3x

0=5

wait at minute this makes no sense 0 doesn't equal 5 so

no solution

Hope This Helps!!!

Answer:

d)X=4 or x=-2

Step-by-step explanation:

X²-2x=8

X²-2x-8=0

(x-4)(x+2)=0

X-4=0 or x+2=0

X=4 or x=-2

Answer: D. x = 4 or x = -2

The correct answer is x = 4 or x = -2

Step-by-step explanation:

Hope this helps =)

Answer:

18 yards

Step-by-step explanation:

Rectangle area = Length (L) x Width (W)

63 yd^2 = L*W

63 yd^2 = L*(3.5 yd)

L = 18 yards

Answer:

/ = 18 yd

Step-by-step explanation:

I took the quiz and this was the correct answer.

Answer:

1a) a= -10

b) b= -5

c) c= -1068

d) d= -1000

2a) a and c

b) b and b

c) c and a

d) d and a

Step-by-step explanation:

Answer:

42,640

Step-by-step explanation:

[tex]205 \times 208 = (200 + 5)(200 + 8) \\ formula \: to \: be \: used \: \\ \red{ \boxed{ \bold{(x + a)(x + b) = {x}^{2} + (a + b)x + ab}}} \\ \\ \implies \: 205 \times 208 \\ \\ = (200 + 5)(200 + 8) \\ \\ = {(200)}^{2} + (5 + 8)(200) + (5)(8) \\ \\ = 40000 + (13)(200) + 40 \\ \\ = 40000 + 2600 + 40 \\ \\ = 42,640[/tex]

Answer:

The answer is 6î + 9j – 15k

Step-by-step explanation:

So,

A = 2î + 3j – 5k

Multiply The value of A with 3 we get,

3A = 3(2î + 3j – 5k)

3A = 6î + 9j – 15k

Thus, The value of 3A is 6î + 9j – 15k

-TheUnknownScientist 72

Answer:

US$15

Step-by-step explanation:

US$15 = 19.15 (Canadian)

€11 = 15.91 (Canadian)

£10 = 17.35 (Canadian)

______________________

$1 in the US (US) is $1.28 in Canada

$1 in Euros (€) is $1.45 in Canada

$1 in the UK (£) is $1.73 in Canada

The value is approximate.

========================================================

Explanation:

Check out the diagram below.

The angle of depression being 31 degrees refers to the idea of looking straight horizontal, then looking down 31 degrees. I recommend adding a dashed horizontal line.

That horizontal line is parallel to the ground. This forms a pair of congruent alternate interior angles. Therefore, we have two angles that are 31 degrees as the diagram shows.

The 31 degrees at the bottom is the angle of elevation.

Use this angle of elevation to say...

tan(angle) = opposite/adjacent

tan(31) = x/12

x = 12*tan(31)

x = 7.210327 approximately

This rounds to 7.2 feet

Answer:

A) 63.576

Step-by-step explanation:

1/10 can also be 10/100 which is 10%

10% of 0.06 = 0.006

Answer:

[tex]a.( - 128)[/tex]

Step-by-step explanation:

#ThanksMeLater

#CarryOnLearning

Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex](x+5)^2[/tex] is [tex]x^2 + 10x + 25[/tex]

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

Example:

[tex]x^3 + 4x + 3[/tex]

is a polynomial.

Using both above facts, as the given expression is [tex](x+5)^2[/tex]

Its product result is obtained as

[tex](x+5)^2 = (x+5)(x+5) = x(x+5) + 5(x+5) = x^{1+1} + 5x + 5x + 25\\\\(x+5)^2 = x^2 + (5+5)x + 25 \text{\:(Addition of coefficients of like terms)}\\\\(x+5)^2 = x^2 + 10x + 25[/tex]

It is a fact that result of a polynomial product is polynomial. Thus, the obtained product is a polynomial since x + 5 was a polynomial.

Thus,

The product of [tex](x+5)^2[/tex] is [tex]x^2 + 10x + 25[/tex]

Learn more about polynomial product here;

https://brainly.com/question/9106484

Answer:

10*g

Step-by-step explanation:

How many golf balls were in each package?

10 packages

g =golf balls

The balls came in the 10 packages, we don't know how many there are so we use g as a substitute. Therefore being 10*g.

Ex:

lets assume there is 5 golf balls in each package and there is a total of 10 packages. 10*5=50 and if you count each ball it would be the same 5,10,15,20,25,30,35,40,45,50 balls in each. 10*5= 10*g. Same thing except I added a number making it a equation.

Answer:

I believe the answer is the 3rd one

Step-by-step explanation:

Answer:

60 mph

Step-by-step explanation:

We calculate the combined distance travelled by the two trains in two hours.

As they were 500 miles apart at first, and 300 miles apart after, they have travelled 200 miles together.

I think the question means "one train travels 20 mph faster than the other".

Say the faster train has speed x mph. Then the slower has speed x - 20 mph.

Now, the combined distance travelled in 2 hrs is 2 * (x + x - 20) = 200

2x - 20 = 100

2x = 120

x = 60 mph

Step-by-step explanation:

since 4 is being multiplied with x we can take 4 to left hand side where it will be divided

4x = 32

x = 32/4

x = 8

Answer:

13.3 miles

Step-by-step explanation:

So you're driving <----- for 3 miles

Then you start driving up for 13 miles

This makes a right triangle with sides of 3 and 13

using pathagoreas, a^2+b^2=c^2

3^2+13^2=c^2

9+169=c^2

178=c^2

Square root both sides

c= 13.3416640641

Rounding, it's 13.3 miles

Answer:

Step-by-step explanation:

You have more than 1/2 the solution just by knowing the slope.

General equation

y = mx + b         where m is the slope and b is the y intercept.

m = 3/4

Solution

y = 3/4 x + b      Now you need the point to solve for b

x = 2

y = 2                  Substitute these values into the line

2 = 3/4 * 2 + b   Simplify the right

2 = 1 1/2 + b

2 = 3/2 + b        Subtract 3/2 from both sides

2 - 3/2 = b         Combine

1/2 = b

So the y intercept is 1/2

Answer

y = 3/4 x + 1/2

or

y = 0.75 x + 0.5        

Answer: Cos(33/65) or 0.99996

Step-by-step explanation:

Cos of an angle is described as

Cosine = adjacent / hypotenuse

where adjacent is the closest side to the angle so in this case adjacent is IH

Hypotenuse is the longest side of a right triangle ALWAYS

sooooo Cosine of angle h is cos(33/65) or decimal form 0.99996

Probability of an event is its chance of . The probability that a student not liking mountains doesn't like beach is: Option b: 40.4%

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}}[/tex]

Where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For the given case, from the table (image attached below), we can see that, there are total 94 students who do not like mountains. Now, out of those 94, there are 38 students not liking beach.

Thus, if A = a student not liking beach

B = not liking mountains,

Then ,

P(A|B) = P(A ∩ B)/P(B) = [tex]\dfrac{38/158}{94/158} = \dfrac{38}{94} \approx 0.404 = 40.4\%[/tex]

Thus, probability of a student not liking beach given that that student doesn't like mountains is 40.4% approx.

Learn more about probability here:

brainly.com/question/1210781

Answer:

40.4%

Step-by-step explanation:

The system of equations that can be used to determine whether the road intersects the boundary of the tower’s signal is

 [tex]y = 2x^2 - 16x + 34\\11y = -5x + 62[/tex]

If a quadratic equation is written in the form

[tex]y=a(x-h)^2 + k[/tex]

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

For the given situation, the quadratic equation has vertex (h,k) = (4,2) and it passes through (5,4).

If we consider the equation to be of the form [tex]y=a(x-h)^2 + k[/tex],

then, as h = 4, k = 2, it becomes [tex]y = a(x-4)^2 + 2[/tex]

Now since it passes through (5,4), thus at x = 5, and y = 4, the equation must be true, or:

[tex]y = a(x-4)^2 + 2|_{(x,y) = (5,4)}\\\\4 = a(5-4)^2 + 2\\4 = a + 2\\a = 2[/tex]

Thus, the quadratic equation in consideration is: [tex]y = 2(x-4)^2 + 2 = 2x^2 + 32 -16x + 2\\y = 2x^2 - 16x + 34[/tex]

The straight line in consideration connects points (–3, 7) and (8, 2).

Equation of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]  is

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

Since we've got [tex](x_1, y_1) = (-3,7) \: \rm and \: \: (x_2, y_2) = (8,2)[/tex]

We get the equation of the straight line in consideration as:

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)\\\\(y-7) = \dfrac{2-7}{8 - (-3) } (x-(-3))\\\\y - 7 = -\dfrac{5}{11}(x+3)\\\\11y = -5x + 62[/tex]

Therefore, the system of equations that can be used to determine whether the road intersects the boundary of the tower’s signal is

[tex]y = 2x^2 - 16x + 34\\11y = -5x + 62[/tex]

These equations' graphs' intersection is the solution to this system

Learn more about system of equations here:

https://brainly.com/question/2825832

Answer:

y-2(x-4)^2=2

5x+11y=62

Step-by-step explanation:

a on edge 22

Answer:

range = 39

Step-by-step explanation:

The range is the difference between the largest value in the data set and the smallest value.

range = 65 - 26 = 39

Answer:

35

Step-by-step explanation:

26, 35, 38, 41, 43, 52, 54, 55, 58,61

The biggest number minus the smallest number

61- 26

35

Answer:

same

Step-by-step explanation:

Taxation is done on the discounted price. The equation representing the final price of a tablet for this condition is : Option A: c[p(t)] = 0. 918t

Functions which are formed by composing two or more functions in a way that one's input is another's output unless its the last and first function is called composite functions.

For given case, it is given that

Discounted price for original 't' price of a tablet is

[tex]p(t) = 0.85t[/tex]

This discounted price is then passed as input to the tax calculating function as taxation is specified to be done on the discounted price and not on the original price.

The total cost calculating function is [tex]c(p) = 1. 08p[/tex]

Thus, for original price t, the total cost is given as:

[tex]c(p(t)) = 1.08(p(t)) = 1.08 \times 0.85t = 0.918t[/tex]

We composed the two available function to get the direct final cost from value of t.

Thus,

The equation representing the final price of a tablet for this condition is Option A: c[p(t)] = 0. 918t

Learn more about composite functions here:
https://brainly.com/question/24780056

Answer:

(-3 , -4)

Step-by-step explanation:

Vector translation: graph slide without rotation on the coordinate plane

Answer:

There are [tex]3p^2[/tex] animals on the farm

Step-by-step explanation:

2p^2-p+4 . p^2+p+1

[tex](2p^2-p+4)+(p^2+p+1)\\2p^2+p^2+p-p+4+1\\3p^2+5[/tex]

Answer:

3p² + 5

Step-by-step explanation:

since no equations are given I will simply add on the number of cows and buffaloes.

total number of animal= number of cows + number of buffaloes

= 2p²- p + 4 + p² + p + 1

= 3p² +5