2 years ago

Help me out now Please I'm stuck on this

Mathematics

1 answer:

Elena-2011 [213]2 years ago

8 0

5x + 2(x + 1) ≤ 23

Distribute the 2.

5x + 2x + 2 ≤ 23

Combine like terms.

7x + 2 ≤ 23

Subtract 2 from both sides.

7x ≤ 21

Divide both sides by 7

x ≤ 3

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Can u help me find the Answer

den301095 [7]

-20x-16

= -4(5x + 4)

I think 4 ×-5 = -20x

4×-4 = -16x

7 0

2 years ago

A muffin recipe calls for 3 cups of flour for 24 muffins. If you want to make 108

vladimir2022 [97]

Answer:

13.5

Step-by-step explanation:

3 cups for 24 muffins

x cups for 108 muffins

x=(108*3)/24

x=13.5

8 0

2 years ago

Sum of 1+3+5+7+...+997

PilotLPTM [1.2K]

1 + 3 + 5 + 7 + ... + 997

1, 3, 7, ... , 997 are terms of an arithmetic sequence

$a_1=1;\ a_2=3;\ ...;\ a_n=997\\\\d=a_2-a_1\to d=3-1=2\\\\a_n=a_1+(n-1)d\\\\subtitute\\\\997=1+(n-1)\cdot2\\977=1+2n-2\\977=2n-1\ \ \ \ |add\ 1\ to\ both\ sides\\2n=998\ \ \ \ |divide\ both\ sides\ by\ 2\\n=499\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\subtitute:\ a_1=1;\ a_n=997;\ n=499\\\\S_{499}=\dfrac{1+997}{2}\cdot499=\dfrac{998}{2}\cdot499=499\cdot499=249,001$

Answer: 1 + 3 + 5 + 7 + ... + 997 = 249,001.

4 0

2 years ago

Please help me 100 points

tino4ka555 [31]

Answer:

x = 74°

Step-by-step explanation:

Same side interior angles are supplementary meaning they must add up to 180°.

x = 180° - 106°

x = 74°

5 0

2 years ago

The angle of elevation to the top of a very tall building is found to be 13° from the ground at a distance of 1 mi from the base

Marta_Voda [28]

Tan(Θ)=(h/distance from base)
Θ=13 degrees, 1mile=5280 ft
tan(13)=(h/5280 ft)
5280tan(13)=h
h=1218.984049
h=1219 ft

4 0

2 years ago