twice the sum of 4 and x is less than -16. solve the i equality​

Answer:

751 cupcakes must be sold to make a profit

Step-by-step explanation:

From the question we are told that

Annual cost= $1,500 per year plus a cost of $1 per cupcake

Each cup cake sell at $3

Generally the profit off the top of each cupcake is $2

Therefore

  [tex]\frac{1500}{2}=750[/tex]

This implies that 750 cupcakes will be sold to cover the annual cost excluding cupcake cost

Generally

751 cupcakes=$1502

Total Annual cost to make a profit

[tex]1(cost\ of\ each\ cupcake)*751+1500=\$2251[/tex]

Total Annual sale

[tex]3(sale of each cupcake)*751=\$2253[/tex]

Mathematically

[tex]2253\$-2251\$=2\$[/tex]

Therefore

751 cupcakes must be sold to make a profit

Answer:

47.5

Step-by-step explanation:

33+62=95

95/2=47.5

Answer:

The rate of the boat is 75.17 km/h and the rate of the stream is 17.83 km/h

Step-by-step explanation:

System of Equations

Let's call:

B = speed (rate) of the boat in still water

S = speed (rate) of the stream

The boat travels 172 km in 3 hours when going upstream, that is when the speed of the stream subtracts its own speed. The speed is the distance divided by the time, thus:

[tex]\displaystyle B-S=\frac{172}{3}[/tex]

Multiplying by 3:

3B - 3S = 172        [1]

The boat travels 372 km in 4 hours downstream when the speed of the current adds to its own:

[tex]\displaystyle B+S=\frac{372}{4}=93[/tex]

B + S = 93

Solving for B:

B = 93 - S       [2]

Substituting in [1]

3(93 - S) - 3S = 172

Operating:

279 - 3S - 3S = 172

279 - 6S = 172

Subtracting 279:

- 6S = 172 - 279

- 6S = -107

Multiplying by -1 and solving for S:

[tex]S = \frac{107}{6}\approx 17.83\ km/h[/tex]

From [2]:

[tex]B = 93 - \frac{107}{6}[/tex]

[tex]B=\frac{451}{6}\approx 75.17\ km/h[/tex]

Answer:

The slope is [tex]m=-\frac{3}{2}[/tex]

Step-by-step explanation:

The slope point equation is given by:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Here:

The first point is (x1,y1)=(5,-3)

The first point is (x2,y2)=(-1,6)

Then, the slope will be:

[tex]m=\frac{6-(-3)}{-1-5}[/tex]

[tex]m=\frac{9}{-6}[/tex]

[tex]m=-\frac{3}{2}[/tex]

I hope it helps you!

Answer:

120

Step-by-step explanation:

Krutika:48

David: 48

Mark: 48÷2= 24

Because 2 : 2 : 1

48+48+24=120

Answer:

Try option B

Step-by-step explanation:

sub to Pen Paper

Hi there!

So what we have to do here is...

turn 2³ - 1 into 2·2·2-1=4·2=8-1=7.

[tex]\frac{35}{7}=5[/tex]

Final Result: 5

Answer:

9 x 8

Step-by-step explanation:

Answer:

ok so basically what you do is since you know they are consecutive numbers, one is x and the other is x+1. Now when you multiply x and x+1 you get 72 , so this basically turns into a quadratic where x(x+1)=72. Thus,X^2+x=72. subtract 72 from both sides- x^2+x-72=0. Then you can solve for x using the quadratic formula or some other way and you get x to be 8 or -9. OH WAIT THERE IS ANOTHER SOLUTION IT IS -9 AND -8. . Anyway yea hoped this helped.

Step-by-step explanation:

Answer:

I know for a fact that it is Devide by nagative 5

Step-by-step explanation:

Answer:

[tex]-3x^{3}+7x^{2} -3[/tex]

Step-by-step explanation:

Answer:

[tex]18x + 8= (180 - 46) = 134 \\ 18x = 126 \\ \boxed{x = 7}[/tex]

Answer:

question A: 50%

Step-by-step explanation:

For question A: the percentage is ( enroll(2014) - enrol(2012) ) / enrol(2012) for  that is 0.5 = 50%, same method for the other questions

Answer:

Step-by-step explanation:

T.S.A=2(LXW) + 2(LXH) + 2(WXH)

=2(8mx5m) + 2(8mx2m) + 2(5mx2m)

=(2x40m²) + (2x16m²) + (2x10m²)

=80m² + 32m² + 20m²

=132m²

Answer:

(1,7)

(0,2)

(-1,-3)

(-2,-8)

put dots on these points and put a line through all of them making on line

Answer:

−4x3+6x2−x

Step-by-step explanation:

(−x)(4x2−6x+1)

=(−x)(4x2+−6x+1)

=(−x)(4x2)+(−x)(−6x)+(−x)(1)

=−4x3+6x2−x

Answer:

Yuto is correct because he isolated the variable correctly and reversed the inequality symbol.

Step-by-step explanation: hi

Answer:

The answer is A

Step-by-step explanation:

In other words, Yuto is correct because he isolated the variable correctly and reversed the inequality symbol.

Answer:

x=1/2

Step-by-step explanation:

10x+3=6x+5

10x-6x=5-3

4x=2

divide both by 4

x=1/2

Answer:

Therefor X = 1/2

Correct answer ✅

Answer:

I will try it :)

Step-by-step explanation:

thanks for the points.

Answer:

5 ✓ 3

Step-by-step explanation:

using Pythagoras Theory

(5 ✓ 6 )2 =, 2 x square side

square leg length= 150/ 2=, 75

length =5 ✓ 3

250.35 that the anwers hope this help a lot

Answer:

d should be correct

Step-by-step explanation:

prove me wrong

Answer:

0, 2, 4, 6, 8

Step-by-step explanation:

the first couple of multiples of 2 are...

2, 4, 6, 8, 10

the last digits are 0, 2, 4, 6, 8...

so, 0, 2, 4, 6, 8 are the last digits!

Answer:

60

Step-by-step explanation:

first you have to find 50% of 40 but multiplying 40 by .5 to get 20. then you add 20 to 40 to get your answer

Answer:

60!

Step-by-step explanation:

100% is 40

to increase that by 50, do 1.5 times 40

the answer to that is 60

Answer:

f(x)=525+4.75x

Answer:

Im not too sure what the question is

Step-by-step explanation:

but when finding the percent of any number, 10% will always move the decimal over to the left once. So 10% of 300 is 30.0 This also works for 1%, you just move the decimal over twice. So 1% of 300 is 3

Answer:

I got 105°

Step-by-step explanation:

Triangle ABC is an isosceles triangle so base angles are equal. <A = 30° (given)

180 - 30 = 150°

150/2 = 75°

the little triangle is also isosceles. the original base angles have been bisected so the base angles are 37.5.

37.5 X 2 = 75°

180-75 = 105°

D = 105°

Answer:

1.036, 1.063, 1.36, 1.603

Step-by-step explanation:

Hope this helped, have a great day :)

Answer:

12

Step-by-step explanation:

there is a right angle so you can use Pythagoras therom to get the height it's going to be (15)^2-(9)^2 all under a square root = 12 in.