The design of a microchip has the scale 40:1. The length of the design is 18cm, find the actual length of the micro chip?​

Answer:

13.5 and 7

Step-by-step explanation:

x + y = 20.5

x - y = 6.5

Hence,

x = 20.5 - y

20.5 - 2y = 6.5

Hence,

2y = 14

y = 7

and x = 20.5 - y = 20.5 - 7 = 13.5

The two numbers are are 13.5 and 7.

a + b = 20.5 equation 1

a  - b = 6.5 equation 2

Where a and b represents the two numbers

In order to determine the value of b, subtract equation 2 from 1

2b = 14

Divide both sides by 2

b = 7

Substitute for b in equation 1

a + 7 = 20.5

a = 20.5 - 7

a = 13.5

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Answer:

Rounded to the nearest integer, at that time there were about 51,493,684 mortgages in the UK market.

Step-by-step explanation:

Given that in February 2019, 195,676 mortgages were outstanding in the UK, which represented 0.38% of all mortgages, to determine how many total mortgages were in the UK market at that time the following calculation must be performed:

0.38 = 195.676

100 = X

(100 x 195,676) / 0.38 = X

19,567,600 / 0.38 = X

51,493,684.21 = X

Thus, rounded to the nearest integer, at that time there were about 51,493,684 mortgages in the UK market.

Answer:

P-value = 0.0046  

Step-by-step explanation:

Given that:

Sample size n = 290

sample mean [tex]\overline{x_1}[/tex] = 4.1

standard deviation [tex]\sigma[/tex] = 0.6

population mean [tex]\mu[/tex] = 4.2

The null and the alternative hypothesis

[tex]\mathbf{H_o: \mu = 4.2} \\ \\ \mathbf{H_a: \mu \ne 4.2}[/tex]

This is a two-tailed test.

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z = \dfrac{4.1 - 4.2 }{\dfrac{0.6}{\sqrt{290}}}[/tex]

[tex]Z = \dfrac{-0.1 }{\dfrac{0.6}{\sqrt{290}}}[/tex]

Z = -2.838

P-value = P(Z> 2.838)

P-value = P(Z< -2.838) +P(Z > 2.838)

P-value = 0.00227 + (1 - 0.9977)

P-value = 0.00457

P-value = 0.0046      (to 4 decimal places)

Answer:

it's answer is C. 12/10 = 4 / x

Step-by-step explanation:

As the triangles are similar so

4/12 = x/10

Or cross multiply then

12/10 = 4/x

Hope it will help :)

Answer:

Step-by-step explanation:

dollar amount of increase = $3.85 - $1.54 = $2.31

percentage increase = (amount of increase)/(original price) = $2.31/$1.54 = 1.5 = 150%

Given:

The inequality is

[tex]3(q+6)>11[/tex]

To find:

The inequality that has the same solution set as the given inequality.

Solution:

We have,

[tex]3(q+6)>11[/tex]

Using distributive property, we get

[tex]3(q)+3(6)>11[/tex]

[tex]3q+18>11[/tex]

Since the given inequality can be rewritten as [tex]3q+18>11[/tex], therefore the inequality [tex]3q+18>11[/tex] has the same solution set as [tex]3(q+6)>11[/tex].

Hence, all options are incorrect. The required inequality is [tex]3q+18>11[/tex].

Answer:

3q+18 > 11

Step-by-step explanation:

Answer:

6 7/8 miles per hour

Step-by-step explanation:

2 3/4 ÷ 2/5

change mixed number into improper fraction; 2 3/4 = 11/4

when dividing fractions, multiply by the reciprocal of the second fraction

11/4 ÷ 2/5  =  11/4 · 5/2  =  55/8 or 6 7/8 mph

Answer:

1.) The LCD is 24

2.) The LCD 21

Step-by-step explanation:

20/24 is equivalent to 5/6 and 9/24 is equivalent to 3/8

7/21 is equivalent to 1/3 and 6/21 is equivalent to 2/7

The answer is: The graph of g(x) is the graph of f(x) shifted 5 units up.

Answer: The graph of g(x) is the graph of f(x) shifted 5 units to the right.

Answer:

it is rational cause it can be turned into a fraction 0.7= 7/10

Answer:

-13

Step-by-step explanation:

Answer:

$0.96

Step-by-step explanation:

You will pay $0.96 for a item with original price of $2.40 when discounted 60%. In this example, if you buy an item at $2.40 with 60% discount, you will pay 2.40 - 1.44 = 0.96 dollars.

Hope this helps

Answer:

5

Step-by-step explanation:

Answer:

22 feet (if the distance is in feet, and the time in seconds)

Step-by-step explanation:

t = time

d = distance

To see if the mouse's distance is proportional to the time, you divide the distance with the time:

[tex]t_{3}[/tex] = 4

[tex]d_{3}[/tex] = 44

44 / 4 = 11

[tex]t_{4}[/tex] = 6

[tex]d_{4}[/tex] = 66

66 / 6 = 11 (the same as with 44 / 4. This means that the mouse distance and time is proportional)

Every second the mouse travels 11 feet.

And every other second the mouse travels 22 feet. (since (1, 11)*2 = (2, 22))

That may have been confusing, and if you have any questions, don't be afraid to ask them in the comments below!

Have a good day!

Answer:

increases by 22

Answer:

308cm

Step-by-step explanation:

We know that,

Radius of a circle(r)= diameter/2

So, r= 616/2

i.e 308cm

Answer:

-6y

Step-by-step explanation:

6 - 12 = -6

-6 * y = -6y

Hope this helps :)

Answer:

6y-72

Step-by-step explanation:

Answer:

The answer to your question is x = 4

x=4

Step-by-step explanation:

To start figuring this out, you need to combine like terms.

To start, you can combine all terms containing the variable x, which is 2x and 3x. This would then make the equation 5x+7-2=25.

You then need to combing the singular numbers, 7 and -2. Doing this brings the equation to 5x+5=25.

From here, subtract 5 from both sides to get you 5x=20.

Finally, you divide both sides by 5 to get you x=4.

I hope this helped!! Let me know if you need any further help!

Answer:

48p2+4p-4

Step-by-step explanation:

Answer:

48p² +4p -4

Step-by-step explanation:

A polynomial of two terms is called a 'binomial'.

Here, we are multiplying 2 binomials.

This is so common, there is a standard way to do it. The method is called FOIL, which means "firsts, outsides, insides, then lasts"

You do it like this:

multiply the 'first terms' of each binomial                           -->  8p*6p = 48p²

multiply the 'outside' terms, far left and far right                 -->  8p*2 = 16p

multiply the 'inside' terms, the two terms in the 'middle'    -->  -2*6p = -12p

multiply the 'last' terms of each binomial                              -->  -2 * 2 = -4

Add 'like' terms: 48p² + (16p - 12p) -4

Answer --->  48p² +4p -4

Answer:

Perimeter: 26 units

Area: 36 units

Step-by-step explanation:

EH = 4 units

HG = 9 units

GF = 4 units

FE = 9 units

Add them all up to find the perimeter

4 + 4 + 9 + 9 = 26

Then multiply the side by length to get the area

4 * 9 = 36

Answer:

[tex]x\geq 4y\\y\leq \frac{x}{4}[/tex]

Given:

The expression is

[tex]\sqrt{\sqrt[3]{6}}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]\sqrt{\sqrt[3]{6}}[/tex]

Using the properties of radical and exponent, we get

[tex]=(\sqrt[3]{6})^{\frac{1}{2}}[/tex]                     [tex][\because \sqrt{x}=x^{\frac{1}{2}}][/tex]

[tex]=\left(6^{\frac{1}{3}}\right)^{\frac{1}{2}}[/tex]                  [tex][\because \sqrt[n]{x}=x^{\frac{1}{n}}][/tex]

[tex]=6^{\frac{1}{3}\times\frac{1}{2}}[/tex]                    [tex][\because (a^m)^n=a^{mn}][/tex]

[tex]=6^{\frac{1}{6}}[/tex]

Therefore, the correct option is A.

Answer:

140 percent (calculated percentage %) of what number equals 35? Answer: 25.

Step-by-step explanation:

Answer:4

Step-by-step explanation:

4

Answer:

(C) No. The normality of the sampling distribution cannot be assumed because Pe times each sample size is not sufficiently large

Step-by-step explanation:

The above happens to be the true statement to the question asked about the new drug study which was carried out just to know its effect with those patients suffering from arthrities.

Answer: I would believe all you have to do is round up making the number 658 lad :)

Step-by-step explanation:

Have a good day :)

Stay safe and stay awesome :D

Answer:

$1881.25

Step-by-step explanation:

Final cost of the computer

[tex] = 1750 + 7.5\% \: of \: 1750 \\ \\ = 1750 + 0.075 \times 1750 \\ \\ = 1750 + 131.25 \\ \\ = \$ 1,881.25[/tex]

Answer:

37 Degree celcius; is the correct answer...