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Mekhanik [1.2K]
3 years ago
11

Natalia wants to put a decorative edge around her flower bed. She already has 4 feet of edging, but she needs enough to edge 95

feet. The edging material comes in rolls 7 feet long.
Write and solve an inequality to find the number of rolls Natalia needs?
Mathematics
1 answer:
grin007 [14]3 years ago
4 0

Answer:

91 ft ≤ (7 ft)n   or   n ≤ 13

Step-by-step explanation:

total amount of edging is

e(n) ≤ 4 ft + (7 ft)n  

This inequality relates the total length of edging to the number of 7 ft rolls needed.

If Natalia needs 95 ft of edging, we write e(n) ≤ 4 ft + (7 ft)n  as

95 ft ≤ 4 ft + (7 ft)n

which simplifies to

91 ft ≤ (7 ft)n   or   n ≤ 13

Natalia must purchase 13 rolls.  This, combined with the initial 4 ft of edging, will be just the right amount of edging to complete the job.

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One number that is divisible by both 3 and 4 is 12. Any multiple of 12 is also divisible by both 3 and 4, such as 24, 36, 48, etc.
7 0
3 years ago
a ships triangular signal flag has a base of 8 inches and an area of 64 square inches.what is the height of the signal flag?
wel
Area of a triangle is 1/2b×h
a=1/2b×h
64=1/2 8×h
64= 4 × h
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Answer: the height is 16 inches

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3 years ago
You travel from point A to point B in a car moving at a constant speed of 70 km/h. Then you travel the same distance from point
tankabanditka [31]

Answer:

Yes, the average speed for the entire trip from A to C is equal to 80\frac{km}{h}

Step-by-step explanation:

The average speed of an object is defined as the distance traveled divided by the time elapsed. Velocity is a vector quantity, and average velocity can be defined as the displacement divided by the time. For the special case of straight line motion in the x direction, the average velocity takes the form:

V_a_v_e_r_a_g_e=\frac{x_2-x_1}{t_2-t_1}=\frac{Δx}{Δt}

If the beginning and ending velocities for the motion are known, and the acceleration is constant, the average velocity can also be expressed as:

V_a_v_e_r_a_g_e=\frac{V_1+V_2}{2}

We Know that:

V_1=70\frac{km}{h} \\\\V_2=90\frac{km}{h}

Replacing the values:

V_a_v_e_r_a_g_e=\frac{70+90}{2} =\frac{160}{2}=80\frac{km}{h}

5 0
3 years ago
Solve the system of equations using matrices. Use the Gauss- Jordan elimination method And find a solution set
KATRIN_1 [288]
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6 0
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The data obtained from a random sample of track athletes showed that as the foot size of the athlete decreased, the average runn
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Answer:

The correct option is;

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Step-by-step explanation:

The statements are analysed as follows;

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The above statement is a conclusion and it infers more information than is contained in the question statement because there are other factors such as taller athletes run faster than average sized athletes

(2) The sample of track athletes shows a causal relationship between

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The above statement is similar to the one above as it is a milder conclusion and it infers more information than is contained in the question statement

(3) The sample of track athletes shows a correlation between foot size

and running speed.

The  above statement is correct as is directly supported by the data as it is a statement made based directly the data

(4) There is no correlation between foot size and running speed in

track athletes.

The above statement is not supported by the available data.

3 0
4 years ago
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