What is the solution to the system of equations below?

4x-2y=10
y=-2x-5

show your work! :)

Answer:

(3.5,4)

Step-by-step explanation:

add and divide by 2

(7,8)

(3.5,4)

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Answer:

10-(3×4)-2+1=5

10-12-3=5

10-15=5

10=5+15

10=20

20-10

10

Answer:

[10 - 3 × (4-2)] +1= 5

.......

Answer: 3/2= 1.5

Step-by-step explanation: To double check just multiply 1.5 by 2, hope this helped :))

Answer:

Walking speeds vary depending on age, and health of walkers. However, an average comfortable walking speed is about 5 km per hour and 9km per hour can be achieved by many people. This means that in 30 minutes it should be possible to easily walk 2.5km and in 2 hours it should be possible to walk 10km.

Answer:

0.07929 km/min

Step-by-step explanation:

1 miles is 1.903 km

5 miles is 9.515 km in 2 hours

9.515 /2 = 4.7575 km/h

Then divide th speed value by 60

4.7575 / 60 = 0.07929

Answer:

1

Step-by-step explanation:

By order of operations, we first evaluate the parentheses, which is 2 * 1 = 2.  We then evaluate the brackets, which are 3 / 2 = [tex]\frac{3}{2}[/tex].  Finally, [tex]\frac{3}{2}[/tex] * [tex]\frac{2}{3}[/tex] = [tex]\frac{6}{6}[/tex] or 1.

We have that  the distance in meters of the object is

[tex]d=687.55m[/tex]

From the Question we are told that

Angular diameter [tex]d_a= 30 arcseconds[/tex]

Linear diameter [tex]d_l= 10 cm=0.10m[/tex]

Generally the equation for Linear diameter  is mathematically given as

[tex]d_l=\frac{d_a*d}{206265}[/tex]

Therefore

[tex]d=\frac{0.10m*206265}{30}[/tex]

[tex]d=687.55m[/tex]

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[tex]\\ \rm\longmapsto 5x-y[/tex]

[tex]\\ \rm\longmapsto 5(7)-12[/tex]

[tex]\\ \rm\longmapsto 35-12[/tex]

[tex]\\ \rm\longmapsto 23[/tex]

Answer:

[tex]5x - y \\ x = 7 \\ y = 12 \\ then \: 5x - y = 5 \times 7 - 12 \\ = 35 - 12 \\ = 23 \\ thank \: you[/tex]

Answer:

b. Add 4, 2, 6, 10

Step-by-step explanation:

Step-by-step explanation:

i don't get the question

(a)

Given:

72 to be split into 1:3:5

Solution:

First divide the amount with the sum of the ratio given

72 / 1 + 3 + 5 = 72 / 9 = 8

Now multiply the answer with each value:-

8 × 1 = 8

8 × 3 = 24

8 × 5 = 40

∴ The ratio will be 8:24:40

{To check your answer add to get the exact value: 8 + 24 + 40 = 72}

(b)

Given:

150 to be split into 2:3

Solution:

First divide the amount with the sum of the ratio given

150 / 2 + 3 = 150 / 5 = 30

Now multiply the answer with each value:-

30 × 2 = 60

30 × 3 = 90

∴ The ratio will be 60:90

{Now check your answer in the same way above: 60 + 90 = 150}

Answer:

these statements are not logically equivalent.

Step-by-step explanation:

steps are in picture.

If you have any question about it you can ask freely.

Answer:

(x+y+5)(x-y+1)

Step-by-step explanation:

factor by grouping

x^2+6x+5-4y-y^2

x^2+6x+9 - (y^2+4t+4) + 5-9+4

(x+3)^2 - (y+2)^2

(x+3+(y+2))(x+3-(y+2))

(x+y+5)(x-y+1)

Step-by-step explanation:

4 is added to each number

A/q ,

5x+4/6x+4 = 7/8

Now , cross multiply

7/6x + 4) = 8 (5x + 4 )

42x + 28 = 40x + 32

42x - 40x = 32 - 28

2x = 4

x= 4/2

x= 2

answer :

5x = 10

6x = 12

Step-by-step explanation:

hope it helps.u........

Answer:

It is 3 : 27

Step-by-step explanation:

Ratio of blue to yellow = 3:24

[tex]{ \sf{total \: ratio = 24 + 3 = 27}}[/tex]

ratio of blue to all triangles:

[tex] = 3 : 27[/tex]

Hey there!

The formula for feet to inches is to simply multiply the length value by 12.

So, multiply 140 by 12.

I believe your answer would be 1680 inches.

Hope this helps!

Have a great day!

Answer:

140 feet is 1680 inches. Don't forget to put your units in; your teacher may dock off points for forgetting to put in the unit.

Step-by-step explanation:

A foot is 12 inches, so you must multiply 140 by 12.

[tex]140\times12=1680[/tex]

Answer:

The remainder is 11.

Step-by-step explanation:

We are given the polynomial:

[tex]f(x) = x^3 + x^2 - 9x + 23[/tex]

And we want to find its remainder when the polynomial is divided by:

[tex]x + 4[/tex]

We can use the Polynomial Remainder Theorem. According to the PRT, if we divide a polynomial P(x) by a binomial in the form (x - a), the remainder will be given by P(a).

In this case, our binomial is (x + 4) or (x - (-4)). Hence, a = -4.

Then the remainder will be f(-4):

[tex]\displaystyle \begin{aligned}f(-4) &= (-4)^3 + (-4)^2 - 9(-4) + 23 \\ &= 11 \end{aligned}[/tex]

In conclusion, the remainder of the operation is 11.

Answer:

x = 4

Step-by-step explanation:

Start by setting the two expressions equal to each other, since they're the same height.

6 + 15x = 6x + 42

Subtract 6x from both sides

6 + 9x = 42

Subtract 6 from both sides

9x = 36

Divide both sides by 9

x = 4

An equation is formed of two equal expressions. The value of x is 4.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that the height of Ashton and James are the same height. Also, Ashton's height is represented by (6 + 15x) and James's height is represented by (6x + 42). Therefore, we can write,

Ashton's height = James' height

6 + 15x = 6x + 42

6 + 15x = 6x + 42

15x - 6x = 42 - 6

9x = 36

x = 36/9

x = 4

Hence, the value of x is 4.

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Answer: a. 0.13% b. 2.28%

Step-by-step explanation:

Let x denotes the useful life of batteries.

Given: months,

Since X is normally distributed.

The probability that batteries with a useful life of less than 38 months

The percent of batteries with a useful life of less than 38 months =0.13%

The probability that batteries will last longer than 68 months

The percent of batteries that will last longer than 68 months =2.28%

Step-by-step explanation:

Answer:

[tex]thank \: you[/tex]

Answer:

x < -5

Step-by-step explanation:

-2(5x+1) >48

-10x-2 > 48

-10x-2+2 > 48+2

-10x > 50

p.s : when dividing by a negative number with inequalities, change the sign, i.e. < would then be >....

therefore:

x < -5

Answer:

1,000,000.

Step-by-step explanation:

You are rounding to the nearest hundred thousand place value, which will be underlined and bolded:

982,510

Note that when you round, you look at the digit directly next to the place value you are solving for. Note:

If the value of the digit is 5 or greater, round up.

If the value of the digit is 4 or less, round down.

In this case, the value directly next to the place value is the ten thousands place, which has the value of 8. Because 8 is greater than 5, you will round up.

982510 rounded to the nearest hundred thousand is 1,000,000.

~

For the numberline, simply plot the points on both end of the spectrum, with 0 being on the left and x value on the right. Plot 1,000,000 corresponding to the value given on the right.

~

The relationship between the heights of the fence, the lengths, the distance below the ground level is an illustration of addition and subtraction.

Plan A

[tex]Length = 4\frac 14[/tex]

[tex]Ground\ Level = \frac 78[/tex]

Plan B

[tex]Length = 6\frac 34[/tex]

[tex]Ground\ Level = 1\frac 12[/tex]

The height of the fence is calculated by subtracting the length below ground level from the length of the fence. So, we have:

[tex]Plan\ A = 4\frac 14 - \frac 78[/tex]                                   [tex]Plan\ B = 6\frac 34 - 1\frac 12[/tex]

[tex]Plan\ A = \frac{17}{4} - \frac 78[/tex]                                   [tex]Plan\ B = \frac{25}{4} - \frac 32[/tex]

                                         Take LCM

[tex]Plan\ A = \frac{17\times 2 - 7}{8}[/tex]                                   [tex]Plan\ B = \frac{25 - 3\times 2}{4}[/tex]

[tex]Plan\ A = \frac{34 - 7}{8}[/tex]                                       [tex]Plan\ B = \frac{25-6}{4}[/tex]

[tex]Plan\ A = \frac{27}{8}[/tex]                                           [tex]Plan\ B = \frac{19}{4}[/tex]

[tex]Plan\ A = 3\frac{3}{8}[/tex]                                           [tex]Plan\ B = 4\frac{3}{4}[/tex]

Hence, the height of fence is [tex]3\frac 38[/tex] in plan A  and [tex]4\frac 34[/tex] in plan B

The fence in plan B is taller because [tex]4\frac 34[/tex] is greater than [tex]3\frac 38[/tex]

The difference (d) in the heights is:

[tex]d = 4\frac 34 - 3\frac 38[/tex]

[tex]d = \frac{19}{4} - \frac{27}{8}[/tex]

Take LCM

[tex]d = \frac{19 \times 2 - 27}{4}[/tex]

[tex]d = \frac{38 - 27}{4}[/tex]

[tex]d = \frac{11}{4}[/tex]

[tex]d = 2\frac{3}{4}[/tex]

Fence in plan B is taller by [tex]2\frac{3}{4}[/tex] feet.

I will recommend the fence in plan B because:

For (5), we have:

[tex]Total = \$356.88[/tex]

[tex]Cash = \$220[/tex]

The remainder is the difference in the total amount and the amount they paid:

[tex]Charge = Total - Cash[/tex]

[tex]Charge = \$356.88 - \$220[/tex]

[tex]Charge = \$136.88[/tex]

Hence, they charge $136.88

Read more about addition and subtraction at:

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Answer:

Step-by-step explanation:

[tex]\\ \rm\longmapsto 2.5\times 10^3\times 3.4\times 10^2[/tex]

[tex]\boxed{\sf a^m\times a^n=a^{m+n}}[/tex]

[tex]\\ \rm\longmapsto 2.5\times 3.4\times 10^3\times 10^2[/tex]

[tex]\\ \rm\longmapsto 8.5\times 10^{3+2}[/tex]

[tex]\\ \rm\longmapsto 8.5\times 10^5[/tex]

Answer:

f(-2) = 35

Step-by-step explanation:

Let x = -2.

[tex]3(-2)^2-8(-2)+7\\\\12+16+7\\\\35[/tex]

Answer:

26659

Step-by-step explanation:

subtracting the recent meter and the last time meter

(23) 7×10¹ + 3×1 = 70 + 3 = 73

(25) 3×10² + 8×10¹ + 5×1 = 300 + 80 + 5 = 385

(27) 5×10⁵ + 2×10⁴ + 8×10³ + 7×10² + 4×10¹ + 3×1 = 500000 + 20000 + 8000 + 700 + 40 + 3 = 528743

It should be quite clear what you have to do from here, I think.

(29) 7002

(31) 600002007