Dominick and Janelle are working to simplify the expression 2c + 4 + c + 6. Janelle simplifies her expression to 2c + 10, while Dominick simplifies his to 3c + 10.

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:

[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:

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.

Answer:

100k each without tax + interest

Step-by-step explanation:

Answer:

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.

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:

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: x4

Step-by-step explanation:

I will ask you to turn it in english instead of española.

sub x = 3y - 5 into equation 2

2(3y - 5) + 12y = -4

6y - 10 + 12y + 4 = 0

18y - 6 = 0

18y = 6

y = 6/18

y = 1/3

sub y = 1/3 into equation 1

x = 3(1/3) - 5

x = 1 - 5

x = -4

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 :)

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:

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

Ok i think i can help, 90-30=60, and 60/3=20, so the answer would be 70!

First you substitute.

[tex]4x+3(x+3)=16\\4x+3x+9=16\\7x=7\\x=1\\y=4[/tex]

Answer:

x = 1 and y = 4

Step-by-step explanation:

Because y = x + 3 we can substitute 3y with 3(x + 3)

4x + 3(x + 3) = 16

4x + 3x + 9 = 16

7x + 9 = 16

7x + 9 - 9 = 16 - 9

7x = 16 - 9

7x = 7

7x ÷ 7 = 7 ÷ 7

x = 7 ÷ 7

x = 1

Since y = x + 3 and x = 1 y = 4.

1 + 3 = 4

x = 1 and y = 4

Check:

x = 1 and y = 4

1 x 4 + 3 x 4 = 16

4 + 12 = 16

Answer:

460.7

Step-by-step explanation:

Answer:

460.7

Step-by-step explanation:

it just 460.7

Answer:

A. 2

Step-by-step explanation:

Circumference of a circle = 2πr

if π = 3.14

and C = 6.28

6.28 = 2(3.14)r

r= 1

d= 2r

d= 2 * 1

d= 2

Answer:

A and C are the correct options.

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:

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:

The answer is below

Step-by-step explanation:

a) Of the pebbles that were measured, which weight occurs the least?

Soln.: From the line plot, we can see that 3 ounce occurred once, 3 1/2 ounce occurred 4 times, 4 ounce occurred 3 times, 4 1/2 ounce occurred 5 times, 5 ounce occurred 2 times, 5 1/2 ounce occurred 3 times, 6 ounce occurred 2 times.

Therefore 3 ounce occurred the least.

b) What is the total weight of the pebbles represented by the data?

Soln.: The total weight is:

Total weight = (3*1) + (3 1/2 * 4) + (4 * 3) + (4 1/2 * 5) + (5 * 2) + (5 1/2 * 3) + (6 * 2) = 90 ounce

c)  Is there an outlier in the data set? If so what number is the outlier?

Soln.: There is no outlier in the data set because all the data are close to each other.

Answer:

A-There is no solution

Step-by-step explanation:

There are no values of x

HOPE THIS HELP!!!1