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Answer:

[tex](21in,30in)=>210in^2[/tex]

[tex](15in,18in)=>90in^2[/tex]

[tex](15in,30in)=>150in^2[/tex]

Step-by-step explanation:

Required

Match the expressions on the left with the right

(a) 21 in by 15 in

Calculate area

[tex]Area = 21in * 15in[/tex]

[tex]Area = 315in^2[/tex]

Multiply by [tex]1/3[/tex]

[tex]1-third = 315in^2 * \frac{1}{3}[/tex]

[tex]1-third = 105in^2[/tex]

Hence:

[tex](21in,15in)=>105in^2[/tex]

(b) 21 in by 30 in

Calculate area

[tex]Area = 21in * 30in[/tex]

[tex]Area = 630in^2[/tex]

Multiply by [tex]1/3[/tex]

[tex]1-third = 630in^2 * \frac{1}{3}[/tex]

[tex]1-third = 210in^2[/tex]

Hence:

[tex](21in,30in)=>210in^2[/tex]

(c) 15 in by 18 in

Calculate area

[tex]Area = 15in * 18in[/tex]

[tex]Area = 270in^2[/tex]

Multiply by [tex]1/3[/tex]

[tex]1-third = 270in^2 * \frac{1}{3}[/tex]

[tex]1-third = 90in^2[/tex]

Hence:

[tex](15in,18in)=>90in^2[/tex]

(d) 15 in by 30 in

Calculate area

[tex]Area = 15in * 30in[/tex]

[tex]Area = 450in^2[/tex]

Multiply by [tex]1/3[/tex]

[tex]1-third = 450in^2 * \frac{1}{3}[/tex]

[tex]1-third = 150in^2[/tex]

Hence:

[tex](15in,30in)=>150in^2[/tex]

Answer:

Step-by-step explanation:

(5 dollars)/(4 girls) = (5/4 dollars)/girl = (1.25 dollars)/girl

:::::

(5.52 dollars)/(4 girls) = (5.52/4 dollars)/girl = (1.38 dollars)/girl

Given:

In an arithmetic sequence,

[tex]a_1=2[/tex]

[tex]a_i=a_{i-1}-3[/tex]

To find:

The sum of the first 335 terms in the given sequence.

Solution:

The recursive formula of an arithmetic sequence is:

[tex]a_i=a_{i-1}+d[/tex]         ...(i)

Where, d is the common difference.

We have,

[tex]a_i=a_{i-1}-3[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]d=-3[/tex]

The sum of first i terms of an arithmetic sequence is:

[tex]S_i=\dfrac{i}{2}[2a+(i-1)d][/tex]

Putting [tex]i=335,a=2,d=-3[/tex], we get

[tex]S_{335}=\dfrac{335}{2}[2(2)+(335-1)(-3)][/tex]

[tex]S_{335}=\dfrac{335}{2}[4+(334)(-3)][/tex]

[tex]S_{335}=\dfrac{335}{2}[4-1002][/tex]

[tex]S_{335}=\dfrac{335}{2}(-998)[/tex]

On further simplification, we get

[tex]S_{335}=335\times (-499)[/tex]

[tex]S_{335}=-167165[/tex]

Therefore, the sum of the first 335 terms in the given sequence is -167165.

Answer:

[tex]x \geqslant 4[/tex]

Step-by-step explanation:

1) Add 9 to both sides.

[tex]5x \geqslant 11 + 9[/tex]

2) Simplify 11 + 9 to 20.

[tex]5x \geqslant 20[/tex]

3) Divide both sides by 5.

[tex]x \geqslant \frac{20}{5} [/tex]

4) Simplify 20/5 to 4.

[tex]x \geqslant 4[/tex]

Thus, the answer is Option B.

5x−9 ≥ 11

5x ≥ 11 + 9

5x ≥ 20

x ≥ 20/5

x ≥ 4

Done.

Answer- b

Step-by-step explanation:

its b

Answer: uh I want to help you but what work I don’t see your question or- did you put a picture...

Step-by-step explanation:

Answer:

Step-by-step explanation:

well when you need help on a question you can put (ask a question) or when you wanna help people you can answer there questions

Answer:

the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean. =26

Step-by-step explanation:

Mean=sum of observation/ No. of observation

={5+8+ 10+ 15 + 22}/5

=60/5=12

Sum of deviations

= |5- 12| + |8 – 12| + |10- 12| + |15- 12| + |22-12|

= 7+4+2+ 3+ 10

= 26

Answer:

A-There is no solution

Step-by-step explanation:

There are no values of x

HOPE THIS HELP!!!1

Answer: x4

Step-by-step explanation:

Answer:$82,500

Step-by-step explanation:

Answer:

a) 0.9548

b) 0.0452

Step-by-step explanation:

Specificity of test:

The specificity of a test is the true negative rate, that is, the proportion of people without the disease that test negative.

Sensitivity of test:

The sensitivity of a test is the true positive rate, which is the proportion of people with the disease that test positive.

a. What proportion of the people who test positive for Malaria would we expect to actually have the disease?

This is the sensitivity of the test, which is of 95.48%, so the proportion if 0.9548.

b. What proportion of people who test positive for Malaria will not have the disease?

True positive rate is of 95.48%.

1 - 0.9548 = 0.0452

So the proportion of people who test positive for Malaria will not have the disease is 0.0452.

I will try i had this unit last year, basically the diameter is 5 in this problem, which you multiply by pi (in this case I will use 3.14 as the shortened version since its on-going) which gives you 15.7, then you multiply that by 3 in this problem to get 47.1!

Answer:

Step-by-step explanation:

Volume of a cylinder formula = πr^2h

r (radius) = 5/2 = 2.5

h (height) = 3

Answer: 3π(2.5)^2 = 3π(6.25) = 18.75π cubic units

Answer:

C

Step-by-step explanation:

Hello There!

We can easily calculate the amount of flower pots he can paint by dividing the amount of paint he has by how much paint each flower pot requires

[tex]\frac{.75}{\frac{1}{34} } =25.5[/tex]

The closest number is 24 therefore your answer is C

9514 1404 393

Answer:

Step-by-step explanation:

This sort of pattern is used in the factoring of trinomials. Typically, the top quadrant holds the product you're trying to factor. The bottom quadrant holds the sum of the factors. The factors appear on the left and right in no particular order.

__

1) You're looking for factors of -24 that have a sum of -5. It can be useful to simply list the factor pairs. Since you want a negative sum, you may want to start with the most negative factors and work up from there.

  -24 = (-24)(1) = (-12)(2) = (-8)(3) = (-6)(4)

The sums of these factor pairs are -23, -10, -5, -2. Obviously, the pair we're interested in is the one with a sum of -5: (-8) +(3).

So, the left- and right-quadrants are filled with -8 and 3.

  Blank 1 = -8

  Blank 2 = 3

__

2) You are given the factors, so all you need to do is form the product and sum.

  Blank 1 = (-3)(-2) = 6

  Blank 2 = (-3) +(-2) = -5

_____

Additional comment

Any sort of factoring is much easier to do if you have memorized your multiplication tables, preferably through 12×12. It is also helpful if you're familiar with divisibility rules—at least for single-digit numbers. I've seen college students struggle trying to do factoring using a calculator. It's not pretty. Many folks learn their times tables up to 10×10 by the end of 3rd grade.

Answer:

Blank 1: -8

Blank 2: 3

Step-by-step explanation:

Sorry if i'm late on this but it is the same X method concept. -8 and 3 add up to get -5, and they multiply to get -24

Answer:

Step-by-step explanation:

Given that:

Find the volume of the cuboid!

Volume equation =

W × H × L =

5/8 × 2/3 × 3/4 =

(5×2×3)/(8×3×4) =

30/96 =

The volume = 5/16 cubic centimetres

____________________

#IndonesianPride - kexcvi

Answer:

2/3

Step-by-step explanation:

2/6 is equal to 1/3 so I added both 1/6's together first and then added the resulting 1/3 with the other 1/3 and got 2/3

you could also convert the 1/3 to 2/6 and add all the sixths together to get 4/6 which is equal to 2/3

hope this helps chu<3

Answer:

4/6.

Step-by-step explanation:

1/6+1/6=2/6 1/3 converts into 2/6 so 2/6+2/6=4/6

Answer:

There are 362,880 different arrangements.

Step-by-step explanation:

Arrangements of n elements:

The number of possible arrangements of n elements is given by:

[tex]A_{n} = n![/tex]

In this question:

Arrangements of 8 particles, plus the membrane, for which there are 9 possible positivos.

How many different arrangements are there?

[tex]T = 9A_{8} = 9*8! = 362880[/tex]

There are 362,880 different arrangements.

9514 1404 393

Answer:

  10.5

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so ...

  ZX/ZY = CA/CB

  ZX = Zy(CA/CB) = 14(3/4)

  ZX = 10.5

Answer:

Option B

Step-by-step explanation:

First term of the given arithmetic sequence 'a' = -3

Common difference in each successive term 'd' = -8 - (-3)

                                                                             d = -5

Explicit formula for an arithmetic sequence will be,

[tex]A_n=a+(n-1)d[/tex]

Here, n = number of term

[tex]A_n[/tex] = nth term of the sequence

[tex]A_n=(-3)+(n-1)(-5)[/tex]

For n = 23,

[tex]A_{23}[/tex] = -3 + (23 - 1)(-5)

     = -3 - 110

     = -113

Option B is the answer.

To make this graph the first step is to look at the slope-intercept form

- we see that 2/3 is the slope and -5 is the y-intercept (the point on the y-axis)

So, now you can find the y-intercept on the graph (-5) and make a dot there

Next, move right 3 and up 2 and repeat until you have enough points to make a line :)

graph below- hope this helps :)

Answer:

A and C are the correct options.

Answer: B. 15

Step-by-step explanation: The number on the bottom of the fraction is always the denominator, therefore 15 is the denominator in the fraction.

Answer:

100k each without tax + interest

Step-by-step explanation:

Answer:

x=−16

Step-by-step explanation:

−4x−18=46

Add 18 to both sides

−4x−18+18=46+18

−4x=64

Divide both sides by -4

-4x/4=64/-4

x=−16

Answer:

x=    -16

Step-by-step explanation:

Let's solve your equation step-by-step.

−4x − 18 = 46

Step 1: Add 18 to both sides.

−4x − 18 + 18 = 46 + 18

−4x = 64

Step 2: Divide both sides by -4.

−4x / −4  =  64  / -4

x=−16

Hope it helps T-T

Answer:

13yd

Step-by-step explanation:

Perimeter is all the side lengths added