What is the equation of 21 less than 11 times a number results in seven times a number decreased by 29 what is the number

Step-by-step explanation:

When dividing or multiplying by a negative number, remember to flip the inequality sign.

-3x < 15

x > -5 (divide -3 on both sides, flip the inequality sign)

The correct options are 2 and 9. (D and E)

Answer:

D. 2

E. 9

Step-by-step explanation:

[tex] - 3x < 15 \\ \\ x > \frac{15}{ - 3} \\ \\ x > - 5 \\ \\ [/tex]

Since x > - 5,

Therefore possible values of x would be 2 and 9 out of the given ones.

Answer:

it will take him 16 weeks

Step-by-step explanation:

290 subtract 50 equals 240

240 divided by 15 equals 16

Answer:

71.99 in³

Step-by-step explanation:

The formula to apply is that of volume of a cone where;

V=π*r²*h/3  --------where V is the volume of the container, r is the radius of the container  and h is the height of the container

Given that : π=3.14 , r is 2.5 inches , h= 11 inches then apply values to the container as;

V= 3.14 * 2.5²* 11/3

V= 3.14 * 6.25 * 3.67

V= 71.9948

V= 71.99 in³

Answer:

Volume of Cone= 71.9583

Step-by-step explanation:

Volume of Cone= (1/3)πr²h

Volume of Cone= (1/3)×3.14×(2.5)²×11

Volume of Cone= 71.9583

Answer:

Equation: n=3m; Bob needs to read 51 novels over 17 months.

Step-by-step explanation:

Since the number of novels Bob needs to read (n) depends on the amount of months (m) we can say that n is the dependent variable and m is the independent. Since x is always independent and y is always independent we can say that m is going to stand for x and n is going to stand for y. Each month Bob reads 3 novels so we can write the equations as n=3m. To find out how many books he needs to read in 17 months plug it into the equation. n=3(17) -------------------> n=51

Answer:

n=66

Step-by-step explanation:

6+12x+120+80+19x-1=360

205+31x=360

31x=155

x=5

Answer:

x = 56°

Step-by-step explanation:

Base angles of an isosceles triangle are equal.

This:

The angle of the triangle to our right, which is the third unequal angle = 180 - 2(31)

= 180 - 62

= 118°

The base angle of the triangle to our left = 180 - 118 (angles on a straight line)

= 62°

x = 180 - 2(62)

x = 180 - 124

x = 56°

Answer:

3.37

Step-by-step explanation:

x+37+16+90=180

x+143=180

×=180-143

x = 37

Answer:

the answer is 3

Step-by-step explanation:

you piece of garbage im tryna help why u report me

Answer:

135.05 ; 2.762 ; (133.201, 136.899) ; (132.840, 137.260)

Step-by-step explanation:

Given the data:

Urban area Price/liter

St. John, NL 137.1

Halifax 133.6

Montreal 136.2

Regina 132.3

Saskatoon 132.2

Yellowknife 138.9

Mean = (137.1 + 133.6 + 136.2 + 132.3 + 132.2 + 138.9) / 6

= 810.3 / 6

= 135.05

Standard deviation (σ) : √Σ(X - mean)²/n-1

(137.1 - 135.05)^2 + (133.6 - 135.05)^2 + (136.2 - 135.05)^2 + (132.3 - 135.05)^2 + (132.2 - 135.05)^2+ (138.9 - 135.05)^2 = 38.135

√(38.135 / (6 - 1))

= √7.627

= 2.7617023

= 2.762

C.)

90% confidence interval of the mean :

Mean ± Zcrit * σ/√n

Zcrit at 90% = 1.64

135.05 ± 1.64 * (2.762/√6)

135.05 ± 1.64 * 1.1275817

Lower Value = (135.05 - (1.64 * 1.1275817)) = 133.201

Upper Value = (135.05 + (1.64 * 1.1275817))) = 136.899

Confidence interval = (133.201, 136.899)

D.)

95% confidence interval of the mean :

Mean ± Zcrit * σ/√n

Zcrit at 95% = 1.96

135.05 ± 1.96 * (2.762/6)

135.05 ± 1.96 * 1.1275817

Lower Value = (135.05 - (1.96 * 1.1275817)) = 132.840

Upper Value = (135.05 + (1.96 * 1.1275817)) = 137.260

Confidence interval = (132.840, 137.260)

Answer:

the answer is A,

P(x) = -0.4x³+100x²-900x+500

Step-by-step explanation:

monthly cost:

[tex]c(x) = 600x {}^{2} + 300x[/tex]

monthly revenue:

[tex]r(x) = - 0.4 {}^{3} + 700x {}^{2} - 600x + 500[/tex]

profit function:

[tex]p(x) = r(x) - c(x)[/tex]

[tex]p(x) = ( - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500) - (600x {}^{2} + 300x)[/tex]

i) remove the first bracket

[tex]p(x) = - 0.4x {}^{3} + 700x {}^{2} - 600x + 500 - (600 {x}^{2} + 300x)[/tex]

ii) there is a negative sign, '-' in front of the second bracket. so, change the sign of each term of the expression inside the bracket

[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500 - 600x {}^{2} - 300x[/tex]

iii) collect like terms

[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600 {x}^{2} - 600x - 300x + 500[/tex]

iv) simply the like terms

[tex]p(x) = - 0. 4{x}^{3} + 100 {x}^{2} - 900x + 500 [/tex]

500 kg x 90% = 500x 0.9 = 450 kg of Steel is needed.

450 kg x 98% = 450 x 0.98 = 441 kg of iron needed.

450 x 0.02 = 9 kg of carbon is needed for the steel.

50 kg of chromium is needed.

Chromium is 10% carbon, 50x 0.1 = 5 kg of carbon is needed for the chromium.

Total iron = 441 kg

Total carbon = 9 + 5 = 14 kg

Total chromium = 50 kg

Answer:

see below

Step-by-step explanation:

If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the triangles are congruent.

This is angle side angle  ASA

If the hypotenuse and a leg of one right triangle are equal to the hypotenuse and leg of another right triangle, then the triangles are congruent.

This is  hypotenuse leg  HL

If three sides of one triangle are equal to three sides of anther triangle, then the triangles are congruent.

This is side side side  SSS

If a leg and an acute angle of one right triangle are equal to the corresponding parts of another right triangle, then the triangles are congruent.

This is leg angle LA

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

This is side angle side SAS

Answer:

the number is 1

Step-by-step explanation:

4(7n-n)=24

28n-4n=24

24n=24

n=1

The value of constant of variation is, 5.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

⇒ p varies jointly as q and the cube of r.

Since, p varies jointly as q and the cube of r.

Hence, We can formulate;

⇒ p = k × q × r²

Where, k is constant of variation.

Here, p = 270 when q = 6 and r = 3.

Substitute all the values, we get;

⇒ p = k × q × r²

⇒ 270 = k × 6 × 3²

⇒ 270 = 54k

⇒ k = 270 / 54

⇒ k = 5

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ2

Answer: the final price is $37.26

Step-by-step explanation:

Always when we have an increase in a percentage X%, with an initial amount A, the new amount will be:

A + A*(X%/100%)

And for a decrease, the equation is_

A - A*(X%/100%)

Then if the initial price is $49.76, and there is a decrease of the 30%, the new price will be

$49.75 - (30%/100%)*$49.75 = $34.83

Now we have an increase of the 7% because of the IVA, then the final price is:

$34.83 + (7%/100%)*$34.83 = $37.26

Answer:

The answer would be B :)

Step-by-step explanation:

Answer:

5×1,000,000,000

Step-by-step explanation:

since 5×1=5

5×1,000,000,000 would be 5,000,000,000

this is what I think and I'm sorry if I'm wrong

Answer:

y=3

Step-by-step explanation:

-5y=-11-4

-5y=-15

y=-15/-5

y=3

Hope this helps u...

Answer:

y=3

Step-by-step explanation:

Answer:

Uhhhh what?

Step-by-step explanation:

I am confused...

Answer:

B

Step-by-step explanation:

Answer:

7920

Step-by-step explanation:

all you have to do is just multiply the the feet in a mile by how any miles there are so basically

=> 1.5 * 5280 = 7920

Answer:

7,920 ft

Step-by-step explanation:

1.5 miles

1 mile = 5,280 feet

1.5 × 5,280 = 7,920 ft

or

5,280 ÷ 2 = 2,640

2,640 + 5,280 = 7,920 ft

Answer:

1

Step-by-step explanation:

|7-8| • 4 + 3 (-1) =

= |-1| • 4 + (-3)

= 1 • 4 - 3

= 4 - 3

= 1

Answer:48

Step-by-step explanation:

this is because 5x7 equals 35 and 6x8 equals 48 and the answer is 35/48

Answer:

the denominator would be 48

Step-by-step explanation:

8*6=48 which is done by multiplying the 2 denominators but the total fraction would be 35/48

Answer: The rate of change is 2

Step-by-step explanation:

Divide the Y by X for each of them and they all are 2

Answer:

40

Step-by-step explanation

x=40 because if you time these in like this:

3(40)-10= 110

40+15=55

If you user 65 it'll be wrong because:

3(65)-10=185    

And the whole thing is only 180 :]

Answer:

?

Step-by-step explanation:

shvwhehdjdjdnbddvbxnxjjxjdjdnbdnekskdjdjnebeeekekkenenennenemskkddkejennene hope this helps :3