5(2x – 3) = -4(x + 4) – 13?

Answer:

Below,...

Step-by-step explanation:

1) = 0.67 (0.25 + 0.42 = 0.67)

2) = 0.20 (0.04 + 0.16 = 0.20)

3) = 0.84 (0.50 + 0.34 = 0.84)

4) = 1.21 (0.92 + 0.29 = 1.21)

5) = 0.42 (0.70 - 0.28 = 0.42)

6) = 0.51 (0.64 - 0.13 - 0.51)

7) = 1.15 (1.40 - 0.25 = 1.15)

8) = 0.75 (1.68 - 0.93 = 0.75)

9) = 0.25 (0.10 + 0.15 = 0.25)

10) = 0.35 (0.80 - 0.45 = 0.35)

11) = 1.32 (0.60 + 0.72 = 1.32)

12) = 1.34 (1.70 - 0.36 = 1.34)

Hopw it helps,... Chow,...!

6.4 – 4.2

Rounding The Number To Nearest Whole Number of their difference.

6.4 – 4.2 = 2.2

Rounding 2.2 to nearest whole number will give = 2

So Your Answer is Option C- 2

Round the number 2.2 nearest whole number will be 2. Then the correct option is C.

The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.

The decimal number is given below.

⇒ 6.4 − 4.2

⇒ 2.2

Round the number 2.2 to the nearest whole number.

If the decimal number is more than 0.5, then the ones place after the decimal will be increased by one.

In the decimal number is 2, then the ones place number 2 remains the same as 2.

Round the number 2.2 nearest whole number will be 2. Then the correct option is C.

More about the rounding of a number link is given below.

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Answer:

1. sequence

2. series

3. series

4. sequence

5. sequence

6. series

7. sequence

8. sequence

9. series

10. sequence

Step-by-step explanation:

Hope it helps <3

Answer:

John's balance before making the deposit is -$195.

Step-by-step explanation:

Let us assume that John's bank balance is $X.

Now,

John makes a deposit of $120 and still, he is overdrawn by $75.

Therefore,

[tex]\begin{aligned}\rm{\$X} + \rm{\$120} &= -\rm{\$75}\\X&=-\$195\end{aligned}[/tex]

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Answer:

It will take [tex]3[/tex] workers to build [tex]95[/tex] birdhouses

Step-by-step explanation:

Given:

[tex]5[/tex] workers to built [tex]120[/tex] birdhouses[tex]=3[/tex] days

To find how long will it take [tex]3[/tex] workers to build [tex]95[/tex] birdhouses

By unitary method,

[tex]1[/tex] worker to built [tex]120[/tex] birdhouses [tex]=3[/tex] × [tex]5[/tex] days

[tex]1[/tex] worker to built

So ,

[tex]1[/tex] worker to built

[tex]3[/tex] workers to built [tex]1[/tex] birdhouse[tex]=\frac{3*5}{120*3}[/tex] ⇒[tex]\frac{1}{24}[/tex]days

[tex]3[/tex] workers to built [tex]95[/tex] birdhouses [tex]=\frac{1}{24}[/tex] × [tex]95[/tex]

[tex]= 3.95[/tex] or [tex]4[/tex] days.

Learn more about unitary method, refer:

Answer:

60

Step-by-step explanation:

y = 8

8y - 4

8(8) - 4

  = 64 - 4

  = 60

Answer: 60

Step-by-step explanation:

8y-4 and y = 8

Plug in 8

8(8) - 4

64 - 4

60

Answer:

C, D

Step-by-step explanation:

C is correct because the triangle is symmetrical which makes "AC" and "CD" equal.

D is correct because "BCE" is also symmetrical which makes it easier to determine whether the triangle has 2 equal sides, which is does. "BC" and "CE."

Comments for Improvement Please

Answer:

40

Step-by-step explanation:

Mode represents the highest number/ highest number of quality

In this case 40 Is both

Answer:

(3*9)+(3*6)

Step-by-step explanation:

Answer:

I think it's zero point zero seven.

Step-by-step explanation:

New Ratio = 19:21

This deals with ratios, fractions and basic arithmetics'.

Thus, the total part for each of them will be;

Zoe; 3/10

Yolansa; 7/10

Zoe; 3x/10

Yolansa; 7x/10

[tex]\frac{7x}{10}[/tex] - [tex]\frac{3x}{10}[/tex] = 64

Simplifying this gives;

[tex]\frac{4x}{10}[/tex] = 64

Rearranging gives;

4x = 640

x = 640/4

x = $160

Thus, originally;

Yolanda has [tex]\frac{7}{10}[/tex] × 160 = $112

Zoe has [tex]\frac{3}{10}[/tex] × 160 = $48

Yolanda now gives [tex]\frac{1}{4}[/tex] of her money to Zoe.

Thus, she gives out [tex]\frac{1}{4}[/tex] × 112 = $28

Thus,

Zoe now has; 48 + 28 = $76

Yolanda now has; 112 - 28 = $84

76:84

Simplifying this ratio gives;

19:21

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We are required to find the new ratio of zoes money to yolanda

the new ratio of zoes money to yolanda is 19:21

Ratio of zoes money to Yolanda's = 3:7.

Zoes = 3

Yolanda = 7

Total ratio = 3 + 7 = 10

let

x = Total money

Zoes = 3/10

Thus, the total part for each of them will be;

Zoe= 3/10x

Yolanda = 7/10x

Yolanda has $64 more than Zoe.

Therefore,

7/10x - 3/10x = 64

(7x - 3x) / 10 = 64

4x/10 = 64

cross product

4x = 64 × 10

4x = 640

divide both sides by 4

x = 640/4

x = $160

Original share:

Zoe = 3/10x

= 3/10 × 160

= 0.3 × 160

= $48

Yolanda = 7/10x

= 7/10 × 160

= 0.7 × 160

= $112

If Yolanda gives 1/4 to zoe

= 1/4 of 112

= 1/4 × 112

= 0.25 × 112

= $28

New Zoe's share = $48 + $28

= $76

New Yolanda's share = $112 - $28

= $84

Their new ratio = 76 : 84

divide by 4

= 19 : 21

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Answer:

9x - 5

Step-by-step explanation:

(4x – 6) + (5x + 1).

4x - 6 + 5x +1

9x - 5

Have a good day

Answer:

9x - 5

Step-by-step explanation:

To get the this answer you would combine like terms. 4x and 5x are like terms, so you would combine them and get 9x. -6 and 1 are like terms, so you would combine those and get -5.

Answer:

The answer for number 2 is 700,000

3: 125,991 (62,776+439= 63,215, 63,215+ 62,776= 125,991)

4:754 (193+368=561, 561+193=754)

5: 350,000 (266,176+68,525+10,996=345,424: rounded to the nearest 10,000 is 350,000)

the Devision model comparation

Answer:

1/2

Step-by-step explanation:

3 is half of 6 so the answer would be 1/2.

Coordinate geometry is the use of a 2D plane to represent points.

Given that:

[tex]A = (-5,5) \to A' = (5,5)[/tex]

[tex]B = (-2,2) \to B' = (2, 2)[/tex]

[tex]C = (-3,2) \to C' = (2,3)[/tex]

By observing the pattern of transformation, the rule is:

[tex](x,y) \to (y,-x)[/tex]

Hence, the transformation is a rotation of 270 degrees clockwise

The length is calculated using the following distance formula:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]

So, we have:

[tex]AB = \sqrt{(-5 - -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]

[tex]BC = \sqrt{(-2 - -3)^2 + (2 - 2)^2} =1[/tex]

[tex]AC = \sqrt{(-5 - -3)^2 + (5 - 2)^2} =\sqrt{13[/tex]

And

[tex]A'B' = \sqrt{(5 -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]

[tex]B'C' = \sqrt{(2 - 2)^2 + (2 - 3)^2} =1[/tex]

[tex]A'C' = \sqrt{(5 - 2)^2 + (5 - 3)^2} =\sqrt{13[/tex]

By comparing the lengths of the image and the preimage, we can conclude that the transformation preserves length.

The measure of the angles is calculated as follows:

[tex]a^2 = b^2 + c^2 -2ab \cos A[/tex]

So, we have:

[tex]18 = 1 + 13 -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]18 - 1 - 13= -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]4= -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]-2= \sqrt{13} \cos C[/tex]

Make cos C the subject

[tex]\cos C = -0.5547[/tex]

[tex]C = cos^{-1}(-0.5547)[/tex]

[tex]C = 124^o[/tex]

Also, we have:

[tex]\frac{a}{\sin A} =\frac{c}{\sin C}[/tex]

So, we have:

[tex]\frac{1}{\sin A} =\frac{\sqrt{18}}{\sin( 124)}[/tex]

[tex]\frac{1}{\sin A} =5.1175[/tex]

Rewrite as:

[tex]\sin A = \frac{1}{5.1175}[/tex]

[tex]\sin A = 0.1954[/tex]

[tex]A = \sin^{-1}(0.1954)[/tex]

[tex]A = 11^o[/tex]

Also, we have:

[tex]A + B + C = 180^o[/tex] --- sum of angles in a triangle

[tex]11 + B + 124 = 180^o[/tex]

Collect like terms

[tex]B = 180 -11 - 124[/tex]

[tex]B = 45[/tex]

Hence:

[tex]\angle A = 11[/tex]   [tex]\angle B = 45[/tex] and [tex]\angle C = 124[/tex]

Read more about coordinate geometry at:

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Answer:

C. 36

Step-by-step explanation:

3x12=36 :]

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

Explanation:

The degree of separation from the two cities is 30-7 = 23 degrees.

Let's say the point C is at the center of the earth. This would mean angle BCA is 23 degrees.

Any longitude line helps form what is known as a great circle or orthodrome. This is a math term that describes a circle that is centered at the same location as the sphere's center. Imagine that you can wrap a string around the earth and this string only follows this particular longitude line. This string is effectively a vertical equator in a way. The question is: what is the length of this string?

Well that would be the circumference of the circle with radius 3960 miles because the longitudinal circle has the same radius as the sphere.

That approximates to...

C = 2*pi*r

C = 2*pi*3960

C = 24,881.4138164311

C = 24,881.41

So a bit less than 25 thousand miles. I used the calculator's stored version of pi rather than something like 3.14 to get the best accuracy possible. This is the full string's length if we want to travel the entire distance around the globe but stay entirely on this particular longitude line

We don't want the full string's length. Instead, we want just a fractional portion of it. Specifically, we want 23/360 of it because of the central angle of 23 degrees. This will give us the distance between the two cities.

So (23/360)*24,881.4138164311 = 1,589.64588271642

This then rounds to 1589.65 when rounding to the nearest hundredth.

The distance between the two cities is approximately 1589.65 miles

This is comparable to the driving distance from Los Angeles, CA to Houston, TX (approximately 1547 miles).

Answer:

a = 19

Step-by-step explanation:

[tex] \frac{3a - 1}{8} = \frac{a + 9}{4} [/tex]

[tex]4(3a - 1) = 8(a + 9)[/tex]

[tex]12a - 4 = 8a + 72[/tex]

[tex]12a - 8a = 72 + 4[/tex]

[tex]4a = 76[/tex]

[tex]a = 76 \div 4[/tex]

[tex]a = 19[/tex]

Answer:

i think c

Step-by-step explanation:

Answer:

Volume = 4/3 πr³

V = 4/3*22.7*8

V = 32.656 m³

Step-by-step explanation:

(i hope this helps)

speed=distance/time taken

Answer:

Step-by-step explanation:

2+2 = 4,

any other questions?

[tex] \large \mathfrak{Solution : }[/tex]

let the total time taken to paint the bookcase be x

now ,

the required equation is :

Answer:

5.414

Step-by-step explanation:

Formula to find circumference is 3.14 x 2r

So we can create a algebraic expression.

3.14 x 2r = 34 / 3.14 = 10.828 / 2 = 5.414