Use the Distributive Property to expand -3 (8x - 4).

Answer:

Dimensions = 4cm, 11cm and 21cm

  OR

Dimensions = 4cm, -21cm and -11cm

Step-by-step explanation:

Solving the quadratic equation by using the factorization method;

x² + 12x - 220 = 0

Factors = 22 and -10

x² + 22x - 10x - 220 = 0

x(x + 22) - 10(x + 220) = 0

(x - 10)(x + 22) = 0

Therefore, x = 10 or x = -22

Given the following data;

Length of one side = (x + 1)cm

When x = 10

Length of one side = (10 + 1)cm

Length of one side = 11cm.

When x = -22

Length of one side = (-22 + 1)cm

Length of one side = -21cm

Length of the other side = (x + 11)cm

When x = 10

Length of the other side = (10 + 11)cm

Length of the other side = 21cm

When x = -22

Length of the other side = (-22 + 11)cm

Length of the other side = -11cm

Check;

Volume of a cuboid = L*L*L

Volume of a cuboid = 4 * 11 * 21

Volume of a cuboid = 924cm³

We know that 2 socks are in a pair. Hence, the rate would be like this: 2 socks/pair. We could also represent it as a ratio and fraction. I will choose the fraction form.

             x 17

2 socks   =    34 socks

1 pair    x 17   17 pairs

Therefore, if Vera owns 17 pairs of socks, she will have 34 socks in total.

Answer:

1) y=2x+6

Step-by-step explanation:

2) y=2×7+6=20ft

Answer:

y = 2x + 6 and the height is 20 feet after seven years.

Step-by-step explanation:

Hello we meet again.

You substitute the x with 7 and then it will be 2(7)+6. 2 times 7 is 14 plus 6 equals 20 so good luck.

Answer:

it would be 1/3

Step-by-step explanation:

Answer: 1/3 chance

Step-by-step explanation:

In total there are 21 animals, 7 of which are a goat or a cow, 7/21 simplified is 1/3

Answer:

[tex]x = \$28.5[/tex]

Step-by-step explanation:

Given

Variation: Direct Proportion

[tex]3.2m = \$38[/tex]

Required

Determine the cost of 2.4m length

Represent the cost of 2.4m length with x

So, we have:

[tex]3.2m = \$38[/tex]

and

[tex]2.4m = x[/tex]

Cross Multiply:

[tex]3.2m * x = \$38 * 2.4m[/tex]

[tex]3.2 * x = \$38 * 2.4[/tex]

Solve for x

[tex]x = \frac{\$38 * 2.4}{3.2}[/tex]

[tex]x = \frac{\$91.2}{3.2}[/tex]

[tex]x = \$28.5[/tex]

Hence, the cost of 2.4m length is $28.5

Answer:

a) i) The drawing of Zeno's route is attached

ii) The bearing of Zeno's return journey is 241° from point C to point A

b) Yes, Zeno returns to Port A before 5.15pm

Step-by-step explanation:

a) i) Please find attached the drawing of Zeno's route

ii) From the attached diagram of Zeno's route created with Microsoft Whiteboard, we find the bearing of his return journey as 241° from point C to point A

b) The distance from point C to point A = 10·√5 km

The speed with which Zeno sails as he returns = 10 km/h

The time it takes Zeno to return t = Distance/Speed

∴ The time it takes Zeno to return t = 10·√5 km/(10 km/h) = √5 h ≈ 2.2361 hours ≈ 2 hours 14 minutes and 9.845 seconds

The time Zeno arrives at point A from point A ≈ 3.00 pm + 2 hours 14 minutes and 9.845 seconds = 5:14.1641 p.m. ≈ 5:14 pm.

Therefore, Zeno returns to Port A before 5.15pm.

Answer:

B

Step-by-step explanation:

Step-by-step explanation to answer:

So, the unit rate is $8 per yard of fabric now we need a expression which will be 13 times 8. 8 times 10 is 80 and 8 times 3 is 24. 80+24 is 104. We did associative, now we need communative. We will still get the answer to the question as we did with associative which will be 8 times 3 is 24 and 8 times 10 is 80. add that and we will get 104.

Answer:

$2,245.

Step-by-step explanation:

Your interest will have grown to  $2,245 dollars and you will have earned $1,545.

Hope this helped

Answer:

Lana has 6 more candy bars than Markus.

Step-by-step explanation:

Lana has 6 bags, each with 3 candy bars. To find the total amount you multiply 6 by 3 which is 18. Markus has 3 bags, each with 4 candy bars, to find the total amount you also multiply 3 by 4 which is 12. Now you subtract:       18-12=6. So Lana has 6 more candy bars than Markus.

Answer:

Lana has 6 candy bars more than Markus

Step-by-step explanation:

6 x 3 = 18

3 x 4 = 12

18 - 12 = 6

Answer:

hi its 1

Step-by-step explanation:

Answer:

0 and above

Step-by-step explanation:

Hope this helps.

Answer:

Use M A T H W A Y. It helps.

Answer:

A) -9.8 × (-23.5)

Step-by-step explanation:

negative × negative = positive

negative × positive = negative

positive × positive = positive

Answer:

17/190

Step-by-step explanation:

Its correct

Answer:

D

Step-by-step explanation:

1 x 17 = 17

10 x 18=180

so it's 17/180

Answer:

2

Step-by-step explanation:

10-5=5

5-5=0

Answer:

it should be this

Step-by-step explanation:

y= 1/3 and then -4

Answer:

8/17

General Formulas and Concepts:

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the ratio.

Step 2: Identify

POV from angle S

Adjacent = 8

Hypotenuse = 17

Step 3: Write

Step-by-step explanation:

I dont know the answer but I know you should make a graph for it and it will tell u the answer I will try and take a photo

Answer:

Option C

Step-by-step explanation:

By applying tan rule in the given triangle ABC,

tan(a) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

         = [tex]\frac{BC}{AC}[/tex]

         = [tex]\frac{21}{20}[/tex]

Therefore, Option C is the correct option.

Answer:

simplified the answer ( i think) is [tex]-\frac{3}{56}[/tex]

Step-by-step explanation:

Thank you for being so polite you were when u asked ur question, really hope this helps

Answer:

0.5

Step-by-step explanation:

Answer:

228 individual cookies.

Step-by-step explanation:

To convert 19 dozen cookies to individual cookies, we first have to identify that:

[tex]dozen=12[/tex]

If a dozen is equal to 12, to solve, we simply must multiply the amount of dozens, which is 19, by a dozen, which is 12:

[tex]19*12=[/tex]

[tex]228[/tex]

Therefore, there are 228 individual cookies.

-

We can check our  work by dividing the individual number of cookies, 228, by dividing buy the amount of dozens, 19, and a dozen, 12:

[tex]228[/tex] ÷ [tex]19=12[/tex]

[tex]228[/tex] ÷ [tex]12=19[/tex]

As you can see, our quotients are the two figures we started with, and when multiplied together, give us 228 individual cookies; therefore, our solution is correct!

Denominators= 4 and 6.

LCM of 4 and 6= 12

So, The answer is 12

Hope it helps!

Answer:

The least common denominator of 1/4 and 5/6 is 12

Step-by-step explanation:

Multiples of 4: 4, 8, 12, 16, 20, 24...

Multiples of 6: 6, 12, 18, 24, 30, 36...

Answer:

384 m³

Step-by-step explanation:

Let the dimension of box a be l,b, and h.

ATQ,

lbh = 48 .....(1)

If we double the dimension of box A, we get box B whose new dimensions will be 2l,2b and 2h.

Let V be the volume of box B.

V = (2l)(2b)(2h)

V = 8(lbh)

= 8(48) [from equation (1)]

= 384 m³

Hence, the volume of the box B is 384 m³.

Answer:

1443

Step-by-step explanation:

Answer:

1680

Step-by-step explanation:

Considering repeatition is not allowed.

We can  use permutation to reach to the required answer.

Consider four digits to be placed in four boxes. Now for the number to be odd, unit digit must be odd. Therefore, unit digit can only be filled by 1, 3, 5,7, or 9. That is 5 ways. Now, other three boxes can be filled with 8, 7 and 6 ways respectively.

Therefore, Total numbers = 5×8×7×6 = 1680

Answer:

Anna drove at an average speed of 49.73 km/h

Step-by-step explanation:

Average Speed

If an object moves at different speeds to cover a certain total distance dt in a total time tt, the average speed is:

[tex]\displaystyle \bar v=\frac{d_t}{t_t}[/tex]

Anna drives a total distance of dt=45 km each day. One day she drives a distance of d1=25 km at v1=82 Km/h. The time taken for that distance is:

[tex]\displaystyle t_1=\frac{d_1}{v_1}=\frac{25}{82}=0.3049\ h[/tex]

She takes t2=36 minutes to drive the remaining distance. 36 minutes is 36/60=0.6 h, thus the total time is:

[tex]t_t=0.3049\ h+0.6\ h=0.9049\ h[/tex]

The average speed is:

[tex]\displaystyle \bar v=\frac{45}{0.9049}=49.73\ km/h[/tex]

Anna drove at an average speed of 49.73 km/h