Which points are solutions to the linear inequality y < 0.5x +
2? Select three options.

Answer:

The new perimeter is 1400 cm

Step-by-step explanation:

The perimeter of the bedspread is the perimeter of a rectangle, whose formula is:

Perimeter = 2 * width + 2 * length

Then the perimeter of the initial bed spread is:

Perimeter = 2 * (238 cm) + 2 * (435 cm) = 1346 cm

as you calculated.

Now, she gets a new bedspread that is 27 cm longer. So the new dimensions are 238 cm width, and (435 + 27) cm length, then the perimeter becomes:

Perimeter = 2 * (238 cm) + 2 * (462cm) = 1400 cm

Answer:

Step-by-step explanation:

Answer:

23 pounds of the Gualtemala Antigua Blend and 37 pounds of the Tanzanian Blend

Step-by-step explanation:

you need to make a system of equations to solve this.

First lets make x be the pounds of Gualtemala Antigua coffee blend and y the pounds of Tanzanian coffee blend

we know we need 60 pounds total so first equation is

x+y=60

Next we will make an equation based on the money information

10.30x + 13.80y = 12.46(60)

10.30x + 13.80y = 747.60

So our system of equations is

x + y = 60

10.30x + 13.80y = 747.60

I will solve this by using substitution. first rewrite x+y=60 to y=60-x

now i can substitute that into the other equation for y and solve for x

10.30x + 13.80(60-x) = 747.60

10.30x + 828 -13.80x = 747.60

-3.5x + 828 = 747.60

-3.5x = -80.4

x = 23  (rounded from 22.9714 since they requested that)

now I can use this solution to solve for y by plugging into one of the original equations

x + y =60

23 + y =60

y = 37

Finally we can say that they must mix 23 pounds of the Gualtemala Antigua Blend and 37 pounds of the Tanzanian Blend.

Answer:

£92 , £184 and £230

Step-by-step explanation:

Total = £506

Ratio = 2:4:5

Total Parts: 2+4+5 = 11

Part 1:

=> [tex]\frac{2}{11}* 506[/tex]

=> 2 * 46

=> £92

Part 2:

=> [tex]\frac{4}{11}* 506[/tex]

=> 4 * 46

=> £184

Part 3:

=> [tex]\frac{5}{11}* 506[/tex]

=> 5 * 46

=> £230

Answer:

Step-by-step explanation:

£506

2+4+5=11

506/11=46

2x46=£92

4x46=£184

5x46=£230

92+184+230=£506

Answer:

(a) Jerry expect to reach his goal by week 43rd.

(b) The total number of push-ups Jerry will have done when he reaches his goal is 2,537.

Step-by-step explanation:

It is provided that Jerry wants to do 100 push-ups. He started with 17 push-ups in Week 1 and planned to increase the number of push-ups by 2 each week.

the number of push-ups done each week by Jerry follows a arithmetic progression with the first terms as, a = 17, common difference as, d = 2 and the last terms as, l = 100.

(a)

Compute the number of week it takes Jerry to reach his goal as follows:

The nth term of an AP is:

[tex]t_{n}=a+(n-1)d[/tex]

Compute the value of n as follows:

[tex]t_{n}=a+(n-1)d[/tex]

[tex]100=17+(n-1)\cdot 2\\\\100-17=(n-1)\cdot 2\\\\83=2n-2\\\\2n=85\\\\n=42.5\\\\n\approx 43[/tex]

Thus, Jerry expect to reach his goal by week 43rd.

(b)

Compute the total number of push-ups he will have done when he reaches his goal as follows:

The sum of n terms of an AP is:

[tex]S_{n}=\frac{n}{2}\cdot [2a+(n-1)d][/tex]

Compute the sum as follows:

[tex]S_{n}=\frac{n}{2}\cdot [2a+(n-1)d][/tex]

    [tex]=\frac{43}{2}\cdot [2\cdot 17+(43-1)\cdot 2]\\\\=43\cdot [17+42]\\\\=2537[/tex]

Thus, the total number of push-ups Jerry will have done when he reaches his goal is 2,537.

Answer:

y=6cos 45° +4

  =6(1/√2)+4

   =6/√2+4

Step-by-step explanation:

y=acosx+b

find a and b

y=b=4 when x=90 degrees because cos 90=0

find a : when x=60 degrees, y=7

7=acos60°+4

7=a(1/2)+4

a/2=3

a=6

y=6cos 45° +4

  =6(1/√2)+4

   =6/√2+4

Answer:

hey guys whats up!

i think your answer is

1. you can spin the spinner a certain way and it is more likely to land on the answer you want or if it has anything to do with colors then make the color you want to take up more space.

2.you can as the other question above states do the opposite.

3.to make an event impossible you can do this:if it is a color leave it out,this means that it will not land on it so it is impossible.

4.to make an event certain you can do the opposite of answer 3

Step-by-step explanation:

hope this helps

thx

pls put brainliest

Answer:

the answer for this question is D

Answer:

Correct answer is actually B

Step-by-step explanation:

I used someone’s answer with their work shown for my test

Answer:

20

Step-by-step explanation:

Answer:

The answet is C.

Step-by-step explanation:

First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :

[tex] \sin(θ ) = \frac{oppo.}{hypo.} [/tex]

[tex]let \: oppo. = 4 \\ let \: hypo. = 5[/tex]

[tex] \sin(θ) = \frac{4}{5} [/tex]

[tex]θ = {\sin( \frac{4}{5} ) }^{ - 1} [/tex]

[tex]θ = 53.1 \: (1d.p)[/tex]

Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :

[tex]ACD = 90 - 53.1 = 36.9[/tex]

Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :

[tex] \cos(θ) = \frac{adj.}{hypo.} [/tex]

[tex]let \: θ = 36.9 \\ let \: adj. = 5 \\ let \: hypo. = CD[/tex]

[tex] \cos(36.9 ) = \frac{5}{CD} [/tex]

[tex]CD \cos(36.9) = 5[/tex]

[tex]CD = \frac{5}{ \cos(36.9) } [/tex]

[tex]CD = 6.25 units\: (3s.f)[/tex]

Answer:

5,004,300

Step-by-step explanation: Its just how you do it

Answer:

B

Step-by-step explanation:

Let's solve 12x + 7 < -11.

12x < -18

x < -3/2

Solving 5x − 8 ≥ 40 we get:

5x ≥ 48

x ≥ 48 / 5

Since it says AND, the answer is no solution.

Answer:

that graph will feature an area delimited by a line of slope m passing through the origin (0,0). Since m>0 the slope is positive, meaning the line goes up. Since the equation is y > mx, the inequality sign being >, that means the area represented will be ABOVE the line drawn.

Answer:

£ 14430

Step-by-step explanation:

Costing price = £13000

Increase = 11% of 13000

=> 11/100 × 13000

=> 11 × 130

=> £ 1430

Increased Price = 13,000+1430

=> £ 14430

Answer:

a = 14  

Step-by-step explanation:

The mean is the sum of the values divided by the number of values.

[tex]\begin{array}{rcl}\text{Mean}&= &\dfrac{11 + 8 + 7 + a + 16 + 10}{6}\\\\\dfrac{52 + a}{6}& = & 11\\52 + a & = & 66\\a & = & 66 - 52\\& = & \mathbf{14}\\\end{array}[/tex]

The answer to your question is below

Step-by-step explanation:

1.- ∛27²  = ∛729  = ∛ 3⁶ = 3⁶/³ = 3² = 9

Find the prime factors

   729    3

   243    3

     81     3

     27     3

        9     3

        3     3

         1

2.- 64²/³ = ∛64² = ∛4096 = ∛ 2¹² = 2¹²/³ = 2⁴ = 16

3.- (∛3375)² = ∛3⁶5⁶  = 3⁶/³ 5⁶/³ = 3² 5² = 9 x 25 = 225

4.- (2744)² ¹/³ = ∛2744² = ∛7529536 = ∛2⁶7⁶ = 2⁶/³ 7⁶/³ = 2² 7² = 4 x 49 = 196

5.- 125²/³ = ∛ 15625 = 5⁶/³ = 5² = 25

6.- ∛4096² = ∛16777216 = 2²⁴/³ = 2⁸ = 256

Charge q is 1 unit of distance away from the source charge S. Charge p is two times further away. The force exerted between S and q is _____ the force exerted between S and p

a. 1/2

b. 2 times

c. 1/4

d. 4 times

Answer:

4 times

Step-by-step explanation:

Given the following :

Distance between q and S (r) = 1 unit

Distance between P and S (r) = 2 × 1 unit = 2

According to coliumbs law:

F = Ke(q1q2) /r^2

Where F = electrostatic force, Ke = coloumbs constant

q1,q2 = charges, r = distance between two charges

For q and S :

Fsq = Ke(q1q2) / 1^2

Fsq = Ke(q1q2) - - - - - equation 1

For P and S :

Fsp = Ke(q1q2) / 2^2

Fsp = Ke(q1q2) / 4 - - - - - equation 2

Dibiding equation 1 by equation 2

Fsq/Fsp = Ke(q1q2) / Ke(q1q2)/4

Fsq / Fsp = Ke(q1q2) × 4 / Ke(q1q2)

Fsq / Fsp = 4 / 1

Using cross multiplication

Therefore, Fsq = 4 × Fsp

Answer:

Area: 42 cm²

Perimeter: 28.4 cm

Step-by-step explanation:

Simply plug in 4.2 cm for x into x + 5.8 to find the width. You width should be 10.

Area: Multiply 10 by 4.2 and you should get 42

Perimeter: Add up all the sides together (4.2 x 2 + 10 x 2) and you should get 28.4

Answer:

The area of a rectangle is length times width.

First recall the answer gives you x=4.2 for the eqaution x+5.8 and for the length.

Input that into the rectangle´s area formula.

(4.2)(4.2+5.8)

(4.2)(10)

=42 units^2.

Now to find the perimeter you need to add all the sides. We have two lengths and two widths.

4.2+4.2+10+10

= 28.4

Step-by-step explanation:

If you want more explanations then Khan academy is a great source.

Answer:

draw a table and calculate the x axis and find the x intercept

Step-by-step explanation:

Answer:

The correct answer is ..

(-1,-2)

Step-by-step explanation:

First, you reflect over the x-axis and get (1,-2) then reflect over the y- axis and the point will be on (-1,-2)

Hope this helps!

- Quinn <3

Answer:

x > 3

Step-by-step explanation:

Step 1: Isolate x

6x -6 > 12

6x > 18

Step 2: Divide

x > 3

8, 3, -2, -7

basically

you have to figure how to get from one term to the other. so in this case, to get from 8 to 3, you have to minus 5. and same again to get from 3 to -2, you again have to -5.

so the first past of the answer is -5n.

then after that, you have to figure out how to get from -5, to the first term of your sequence. so you have to add 13, in this case.

your answer would then be

Answer:

-5x + 13

Step-by-step explanation:

to find the nth term, you must find the difference between each consecutive given terms.

So,

8 and 3 = -5

3 and -2 = -5

-2 and -7 = -5

This is the m in the equation mn+c

c is the value you must add to -5n when n is 1

Hope this helps

Answer:

for 12:00 1 for 1:00 2

Step-by-step explanation:

this is a pattern where each number multiplies itself by 2 making 12:00 and 1:00 pm 1 and 2

edit: is it right? if it is, may I have brainliest?

Answer:

Step-by-step explanation:

a. Andy = £9500

Bevan = £25000

Cheryl = £11250

Deva = £72000

Elliott = £12750

Frankie = £29500

Grace = £11000

Total Income = £171,000

To get the mean Income, we divide the total income gotten by 6 which is the number of people. This will be:

= £171,000/7

= £24428.57

b. If Deva's income is excluded, there'll be 6 people left.

Andy = £9500

Bevan = £25000

Cheryl = £11250

Elliott = £12750

Frankie = £29500

Grace = £11000

Total income = £99000

Mean income = £99,000/6

= £16,500

9514 1404 393

Answer:

  J$48,950

Step-by-step explanation:

The entire purchase price is ...

  24×J$2000 +J$950 = J$48,950

Answer:

14

Step-by-step explanation:

We want to simplify [tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3[/tex] so as to find the exponent of b.

Let us expand all brackets:

[tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3\\\\= [a^3b^4c^6]^2 (b^{2*3}c^{5*3})\\\\= [a^6b^8c^{12}] (b^{6}c^{15})\\\\= a^6b^{8+6}c^{12 + 15}\\\\= a^6b^{14}c^{27}[/tex]

The exponent of b is 14.

Answer:

Cos x = [tex]\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}[/tex]

Tan x = [tex]\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }[/tex]

Step-by-step explanation:

Sin x = [tex]\frac{perpendicular}{hypotenuse} = \frac{1}{2}[/tex]

So, Perp = 1 and hyp = 2

Putting this in Pythagorean theorem to get the base

[tex]c^2 = a^2+b^2[/tex]

[tex]a^2 = c^2-b^2[/tex]

base ² = 4-1

base² = 3

Taking square root on both sides

Base = [tex]\sqrt{3}[/tex]

Now

Cos x = [tex]\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}[/tex]

Tan x = [tex]\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }[/tex]

Answer:

3/4 of a hour

Step-by-step explanation:

2 miles  = 0.5 hours

Divide by 2

1 mile = 0.25 hours

Multiply by 3

3 mile = 0.75 hours

Answer:

45 minutes or .75 of an hour or 3/4 of an hour

Step-by-step explanation:

if you walk 2 miles in a half-hour (30 minutes) , how long will it take to walk 3 miles. Well the answer is simple, we need to use proportions to solve it though. For example:

[tex]\frac{miles}{hours}[/tex]   =    [tex]\frac{2}{.5}[/tex]

therefore, half of .5 is .25

so for someone to complete 1 mile, it takes .25 of an hour. .25 of an hour is 15 minutes. Therefore, the correct simplified proportion is : [tex]\frac{1}{.25}[/tex]

Now we need to find out what the denominator (bottom number/time) would be when the numerator (top number of the fraction) is =3.

Since we have the simplified version as a 1, we can just multiply .25 by 3 which is .75, and .75 of an hour is 45 minutes. Therefore the answer is 45 minutes.

Answer: (b) (g o g)(5)

Step-by-step explanation:

[tex]f(x)=\dfrac{5}{x}}\qquad g(x)=2x^2\\\\\\g(f(5)):\ f(5)=\dfrac{5}{5}=1\qquad g(1)=2(1)^2=2\\\\\\g(g(5)):\ g(5)=2(5)^2=50\qquad g(50)=2(50)^2=\large\boxed{5000}\\\\\\f(f(5)):\ f(5)=\dfrac{5}{5}=1\qquad f(1)=\dfrac{5}{1}=1\\\\\\f(g(5)):\ g(5)=2(5)^2=50\qquad f(50)=\dfrac{5}{50}=\dfrac{1}{10}[/tex]