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IRISSAK [1]
2 years ago
8

Jeremiah plans on building a 5 meter long garden walkway that is paved with square stones that measure " $ meter on each side. T

here will be no spaces between the stones. How many stones will be needed to complete the garden walkway?
Mathematics
1 answer:
larisa86 [58]2 years ago
8 0

Complete question :

Jeremiah plans on building a 5 meter long garden walkway that is paved with square stones that measure " 5/6 meter on each side. There will be no spaces between the stones. How many stones will be needed to complete the garden walkway?

Answer:

12

Step-by-step explanation:

Given that:

Length of square block to be used = 5/6 meters

Length of garden. Walkway = 5 m

Since length of walkway is the same on both sides, then the Total length = 5m + 5m = 10 meters

Number of square stones required :

Total length of walkway / side length of stones to be used

= 10 meters ÷ (5/6) meters

= 10 * 6/5

= 60 / 5

= 12 stones

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A homemade lip balm consists of coconut oil and beeswax. Coconut oil costs $0.50 per ounce and beeswax costs $2.00 per ounce. If
Alika [10]

Let

a--------> the total cost in dollars of 6 ounces of coconut oil

b--------> the total cost in dollars of 5 ounces of beeswax

we know that

a=0.50 \frac{\$}{ounce}*6=\$3

b=2.00 \frac{\$}{ounce}*5=\$10

therefore

<u>the answer is</u>

the total cost in dollars of 6 ounces of coconut oil is a=\$3

the total cost in dollars of 5 ounces ofbeeswax is b=\$10

7 0
2 years ago
Read 2 more answers
Are triangles ADC and EBC congruent? triangle ADC is overlapping triangle EBC so that they both share angle ACE, point B is on s
Olin [163]

Answer:

Yes, by AAS ⇒ 2nd answer

Step-by-step explanation:

* <em>Lets revise the cases of congruence</em>

- <u><em>SSS</em></u>  ⇒ 3 sides in the 1st Δ ≅ 3 corresponding sides in the 2nd Δ  

- <u><em>SAS</em></u> ⇒ 2 sides and including angle in the 1st Δ ≅ 2 corresponding

 sides and   including angle in the 2nd Δ  

- <u><em>ASA</em></u> ⇒ 2 angles and the side whose joining them in the 1st Δ   ≅

 2 corresponding angles and the side whose joining them in the 2nd Δ  

- <em><u>AAS</u></em> ⇒ 2 angles and one side in the first triangle ≅ 2 corresponding

 angles   and one side in the 2ndΔ

* <em>Lets solve the problem</em>

- In 2 Δs ADC and EBC

∵ <em>∠ACE is a common angle</em> in the two triangles ⇒ given

∵ <em>∠CAD ≅ ∠CEB</em> ⇒ because they marked with the same symbol

∵ <em>DC ≅ BC</em> ⇒ because they marked with the same symbol

- Two angles and one side in Δ ADC ≅ two corresponding angles  

  and one side in Δ EBC

∴ <u><em>Triangles ADC and EBC congruent by AAS</em></u>

* Yes Triangles ADC and EBC congruent by AAS

8 0
2 years ago
Read 2 more answers
Mai spends 7 and 3/5 hours in school each day. Her lunch period is 30 minutes long, and she spends a total of 42 minutes switchi
Sonja [21]
First, we solve for the number of minutes in 7 and 3/5 hours by multiplying the number by 60 giving us,
                            (7 + 3/5) x (60) = 456 minutes
Spending 30 minutes for lunch will leave her with 426 minutes. Then, spending 42 minutes for switching of classes will finally give her 414 minutes. 

We then divide this value by 6 (for her 6 classes) giving us 69 minutes. Thus, each class is 69 minutes long. 
8 0
2 years ago
On a coordinate plane, an absolute value graph starts at (0, 0) and goes up and to the left through (negative 4, 2). The functio
natka813 [3]

Answer:

The function f(x)= –StartRoot negative x EndRoot is shown on the graph.

On a coordinate plane, an absolute value graph starts at (0, 0) and goes down and to the left through (negative 4, negative 2).

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9 0
2 years ago
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12x−39≤9 AND−4x+3&lt;−6, just solving for x<br><br> please answer ASAP
kari74 [83]

<u>Answer:</u>

Solving for x in 12x − 39 ≤ 9 and −4x + 3 < −6 we get 2.25 < x ≤ 4

<u>Solution</u>:

Need to find the value of x which satisfies following two given expressions

12x − 39 ≤ 9      ------(1)

−4x + 3 < −6     ------ (2)

Lets first solve expression (1)

12x − 39 ≤ 9  

Adding 39 on both sides , we get

12x−39 + 39  ≤ 9  +39

=>12x ≤ 48

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Now solving expression (2)

−4x+3<−6      

=> -4x < -6 – 3

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=> 4x > 9

=> x > 9/4

=> x > 2.25

So from solution of expression (1) and (2) , we get x ≤ 4   and x > 2.25

Hence required value of x is 2.25 < x ≤ 4.  

7 0
2 years ago
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