All categories

3 years ago

Solve the inequality: 3p - 16 < 20

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

4 0

Isolate the p. First, add 16 to both sides

3p - 16 (+16) < 20 (+16)

3p < 36

Next, isolate the p. Divide 3 from both sides

3p/3 <36/3

p < 12

p < 12 is your answer

hope this helps

You might be interested in

The product of 8 and the difference of 3 and a number

Neko [114]

Answer:

<h3>3 More than the Product of 8 and a Number is 8n + 3.</h3>

Step-by-step explanation:

<h3>mark as brainliast</h3><h3>indian genius sarthak</h3>

3 0

2 years ago

Unit 8 right triangles and trigonometry homework 3 similar right triangles and geometric mean

Ugo [173]

The right triangles that have an altitude which forms two right triangles

are similar to the two right triangles formed.

Responses:

1. ΔLJK ~ ΔKJM

ΔLJK ~ ΔLKM

ΔKJM ~ ΔLKM

2. ΔYWZ ~ ΔZWX

ΔYWZ ~ ΔYZW

ΔZWX ~ ΔYZW

3. x = <u>4.8</u>

4. x ≈ <u>14.48</u>

5. x ≈ <u>11.37</u>

6. G.M. = <u>12·√3</u>

7. G.M. = <u>6·√5</u>

<u />

<h3>What condition guarantees the similarity of the right triangles?</h3>

1. ∠LMK = 90° given

∠JMK + ∠LMK = 180° linear pair angles

∠JMK = 180° - 90° = 90°

∠JKL ≅ ∠JMK All 90° angles are congruent

∠LJK ≅ ∠LJK reflexive property

<u>ΔLJK is similar to ΔKJM</u> by Angle–Angle, AA, similarity postulate

∠JLK ≅ ∠JLK by reflexive property

<u>ΔLJK is similar to ΔLKM</u> by AA similarity

By the property of equality for triangles that have equal interior angles, we have;

<u>ΔKJM ~ ΔLKM</u>

2. ∠YWZ ≅ ∠YWZ by reflexive property

∠WXZ ≅ ∠YZW all 90° angle are congruent

<u>ΔYWZ is similar to ΔZWX</u>, by AA similarity postulate

∠XYZ ≅ ∠WYZ by reflexive property

∠YXZ ≅ ∠YZW all 90° are congruent

<u>ΔYWZ is similar to ΔYZW</u> by AA similarity postulate

Therefore;

<u>ΔZWX ~ ΔYZW</u>

3. The ratio of corresponding sides in similar triangles are equal

From the similar triangles, we have;

$\dfrac{8}{10} = \mathbf{ \dfrac{x}{6}}$

8 × 6 = 10 × x

48 = 10·x

$x = \dfrac{48}{10} = \underline{4.8}$

3. From the similar triangles, we have;

$\mathbf{\dfrac{20}{29}} = \dfrac{x}{21}$

20 × 21 = x × 29

420 = 29·x

$x = \dfrac{420}{29 } \approx \underline{14.48}$

4. From the similar triangles, we have;

$\mathbf{\dfrac{20}{52}} = \dfrac{x}{48}$

20 × 48 = 52 × x

$x = \dfrac{20 \times 48}{52} = \dfrac{240}{13} \approx \underline{18.46}$

5. From the similar triangles, we have;

$\mathbf{\dfrac{13.2}{26}} = \dfrac{x}{22.4}$

13.2 × 22.4 = 26 × x

$x = \dfrac{13.2 \times 22.4}{26} \approx \underline{ 11.37}$

6. The geometric mean, G.M. is given by the formula;

$G.M. = \mathbf{\sqrt[n]{x_1 \times x_2 \times x_3 ... x_n}}$

The geometric mean of 16 and 27 is therefore;

$G.M. = \sqrt[2]{16 \times 27} = \sqrt[2]{432} = \sqrt[2]{144 \times 3} = \mathbf{12 \cdot \sqrt{3}}$

The geometric mean of 16 and 27 is <u>12·√3</u>

<u />

7. The geometric mean of 5 and 36 is found as follows;

$G.M. = \sqrt[2]{5 \times 36} = \sqrt[2]{180} = \sqrt[2]{36 \times 5} = \mathbf{ 6 \cdot \sqrt{5}}$

The geometric mean of 5 and 36 is <u>6·√5</u>

Learn more about the AA similarity postulate and geometric mean here:

brainly.com/question/12002948

brainly.com/question/12457640

7 0

2 years ago

This table gives a few (2,y) pairs of a line in the coordinate plane.

Ostrovityanka [42]

Answer:1

Step-by-step explanation:the y is a place holder instead of the digit 1 because there is only one y. Whitch is the same reason why the 2 isn’t 2x because the 2 is a place holder for how many x there are. The problem is showing you how much value each place holders have. (x,y)

3 0

3 years ago

You found a pair of shoes that cost $80. The store has them on sale for 30% off. How much will you pay for the shoes after the d

GREYUIT [131]

Answer:

You will pay 24 dollars for the shoes after the discount.

5 0

3 years ago

Divide (8.6 x 108) by (3.2 x 103). Express your answer in scientific notation.

Arada [10]

I believe the given should be written as,
(8.6 x 10^8) ÷ (3.2 x 10^3)
By directly solving the expression, we obtain an answer of
268750
Which can also be written as 2.6875 x 10^5. Thus, the answer to this item is letter B.

6 0

3 years ago

Read 2 more answers