2) Which statement is modeled by 2p + 5 < 11?
(1) The sum of 5 and 2 times p is at least 11.
(2) Five added to the product of 2 and p is less than 11.
(3) Two times p plus 5 is at most 11.
(4) The product of 2 and p added to 5 is 11

Answer:

6

Step-by-step explanation:

[tex]1)\ P_1 = 11 + 8 + 5 = 24\ units[/tex]

[tex]2)\ 2x + 4 + y +z = 48[/tex]

[tex]3)\ \frac{48}{24} = 2 => 2x+4 = 2*8[/tex]

[tex]4)\ 2x+4 = 2*8 => 2x + 4 = 16 => 2x = 12 => x = 6[/tex]

Answer:

6

Step-by-step explanation:

[tex] \triangle CDE \sim \triangle FGH[/tex]

[tex] \frac{P(\triangle CDE) }{P(\triangle FGH)} =\frac{CD}{GH} [/tex]

(Area of similar triangle theorem)

[tex] \frac{11+8+5}{48} =\frac{8}{2x +4} [/tex]

[tex] \frac{24}{48} =\frac{8}{2x +4} [/tex]

[tex] \frac{1}{2} =\frac{8}{2x +4} [/tex]

[tex] 2x + 4 = 2\times 8[/tex]

[tex] 2x + 4 =16[/tex]

[tex] 2x =16-4[/tex]

[tex] 2x =12[/tex]

[tex] x =\frac{12}{2} [/tex]

[tex] x = 6 [/tex]

Answer:

m∠B = 75.5°

Step-by-step explanation:

Since AC = 6, then AB = 6 and BC = 15-6-6 = 3

The altitude from A bisects side BC.  Let the point of intersection of the altitude and BC be point D.  Then BD = 1.5

Cos B = 1.5/6

m∠B = arcccos (1.5/6)

m∠B = 75.5°

Answer:

36 m

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

27 = b

45 = c

So let's solve

a² + 27² = 45²

a² + 729 = 2025

a² = 1296

√1296 = a

= 36

units = m

36 units

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-Chetan K

Answer:

x = 8

Simplified

3x = 8 + 8/3x

Step-by-step explanation:

4(2/3x + 2) = 3x

8/3x + 8 = 3x

8/3x - 8/3x + 8 = 3x - 8/3x

8 = x

Answer:

106

Step-by-step explanation:

The pattern is +8.  66 is the last number given which is the 5th number. So we need to have five numbers. we can do 8*5=40 and add 40 to 66. Your answer is 106.

Answer:

1/8 + 1/2 = 5/8

Step-by-step explanation:

Total number of beads = 8

Number of green beads = 4

Number of yellow beads = 1

Fraction of green beads :

Number of green / total number of bead = 4 / 8 = 1/2

Fraction of yellow beads :

Number of yellow / total number of bead = 1 / 8

Number of green or yellow bead :

1/8 + 1/2 = (1 + 4) / 8 = 5/8

Answer: ( -2, -1

Step-by-step explanation:

Answer: 16 miles

Step-by-step explanation:

The car used 1/64 gallons to travel 1/4 miles. To find out how many miles the car can travel using 1 gallon, use direct proportion:

1/64 gallons            :              1/4 miles

1 gallon                   :                  x miles

Cross multiply:

1/64x = 1/4

x = 1/4 ÷ 1/64

= 1/4 * 64/1

= 16 miles

On one gallon of gas, the car can travel 16 miles.

Three statements that always hold true are,

negative + negative = negative.

positive + positive = positive.

negative - positive = negative.

Odd + Odd = Even.

Odd + Even = Even + Odd = )dd.

Even + Even = Even.

Odd × Odd = Even.

Even × Even = Even.

Odd × Even = Even × Odd = Odd.

Odd ÷ Odd = Even.

Even ÷ Odd = Even Or Odd.

Odd ÷ Even = Fraction/Decimal.

The true statement about positive and negative numbers are,

negative + negative = negative.

positive + positive = positive.

negative - positive = negative.

learn more about negative and positive numbers here :

https://brainly.com/question/17865861

#SPJ2

Answer:

22x^2+21x+10

brainliest?

Step-by-step explanation:

Answer:

The 4the bubble

Step-by-step explanation:

It is pretty much combining like terms. 22x² is alone since there is no other variable that has an x², so it will be left alone. However, there is 14x and -7x, they both have an x, so that makes them like terms. Combine those and you get 14x minus 7x which is 7x. The number 10 has no other like term to combine with so it can be left alone as well, so just put them all together in the end (simplify). Which would be 22x² + 7x + 10

Answer:

0

Step-by-step explanation:

2x – 5x + 16 = –3(x – 6)

2x - 5x + 16 = -3x + 18

-3x + 16 = -3x + 18

0x = 1

x = 0

Answer:

x = ∅

Step-by-step explanation:

2x - 5x + 16 = - 3 (x - 6)

combine like terms

- 3x + 16 = - 3 (x - 6)

distribute

- 3x + 16 = - 3x + 18

subtract 3x from both sides

16 = 18

The equation is false and so x = ∅

Answer:

vertex = (3, 1 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is calculate as

x = - [tex]\frac{b}{2a}[/tex]

y = x² - 6x + 10 ← is in standard form

with a = 1, b = - 6 , then

x = - [tex]\frac{-6}{2}[/tex] = 3

Substitute x = 3 into the equation for corresponding y- coordinate

y = 3² - 6(3) + 10 = 9 - 18 + 10 = 1

vertex = (3, 1 )

Answer:

x < 3 or x < 2

Step-by-step explanation:

|2x-5|<1

Using compound Inequality

(2x - 5) <± 1

Hence,

a) 2x - 5 < -1

2x < -1 + 5

2x < 4

x < 4/2

x < 2

b) 2x - 5 < +1

2x < 1 + 5

2x < 6

x < 6/2

x < 3

Therefore, x < 3 or x < 2

Answer: Second option (-2.8, -2.6)

Step-by-step explanation:

The solution to both equations would be the intersection of the lines.

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

The given quadratic must be rewritten in standard form before anything else is done:  -2x^2 + 8x - 8 = 0.  The coefficients of the x terms are {-2, 8, -8}.

The discriminant b^2 - 4ac is therefore (8)^2 - 4(-2)(-8), or  64 -  64, or 0.

A zero discriminant points to two real, equal solutions.

Answer:

B, C, D

Step-by-step explanation:

9x4=36 Yes

12x3=36 Yes

6x6=36 Yes

9x9=81 No

8x4=32 No

Answer:

Explanation:

Volume of a right cylinder = area of the base × height

V = πr² × h

r = d/2

r = 34/2 = 17 m

V = π × 17² × 27

V = 24513.85 m³

Answer:

i think

the answer is A. 4.9

Answer:

Eric is correct

Step-by-step explanation:

Answer:

3 groups will have 5 members with a class leader, but only one will have 6 members and a class leader

Step-by-step explanation:

Answer:

You answer is B i believe. If it is not, then it is A. I know for sure it is not C or D.

Step-by-step explanation:

Answer:

D. 118 + s = 764

Step-by-step explanation:

To find the total number of students in all the other grades, if we only know the total number of students in the school and the number of kids in 3rd grade, we need to subtract the kids in 3rd grade from the entire school. This leaves us with 646.

s = 646

Hope it helped!

Answer:

35 Miles

Step-by-step explanation:

Mark me brainliest.

210 minus 70 = 140

140 divided by 4 = 35

35 is your answer.

Answer:

I think its the last one

Step-by-step explanation:

Answer:

Choice 3

Step-by-step explanation:

Solve the inequality for x:

[tex]\frac{1}{4}[/tex]x+1<5

subtract 1 on both sides

[tex]\frac{1}{4}[/tex]x<4

multiply by 4 on both sides

x<16

Choice 3 shows all the numbers that are less than 16, so that is the answer.