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sweet [91]
3 years ago
14

- 7th Grade Work - Please help, I really need it T-T

Mathematics
2 answers:
Lesechka [4]3 years ago
8 0

Answer: the first side is x the next side is x-5 the third side is 2x the fourth side is 4(2x) the fifth side is 4(2x)-2

a possible perimeter for the figure would be 113

Step-by-step explanation: if the first side was 6 -5 is 1+6 is 7+6*2 is 19+4(6*2)=67 67+ 4(6*2)-2 is 11

Vsevolod [243]3 years ago
5 0

Answer: the first side is x the next side is x-5 the third side is 2x the fourth side is 4(2x) the fifth side is 4(2x)-2

a possible perimeter for the figure would be 113

Step-by-step explanation: if the first side was 6 -5 is 1+6 is 7+6*2 is 19+4(6*2)=67  67+ 4(6*2)-2 is 113

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Which term describes the red curve in the figure below?
Scorpion4ik [409]

Answer:

Hyperbola

Step-by-step explanation:

Its just like a parabola, but with 2 equal cones making them on opposite sides.

3 0
1 year ago
Read 2 more answers
Heather can complete two problems in ten minutes, and when she started she had three problems done. Joel can complete three prob
Hunter-Best [27]
If Heather can do 2 in 10 minutes, then that means that she can do 12 in 1 hour. If Joel can do 3 in 15 minutes, then it means that he can do 12 in 1 hour. Add the number of problems they can do total and that will go between 30 and 50. It is just "less than", not "less than or equal to" because you want to know when the total number goes between the numbers.
Therefore, the correct answer must be <span>30 < 24x + 5 < 50.</span>
3 0
3 years ago
What is the value of y in the sequence below?<br> 2,y,18, -54,162,
snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

<u>A</u><u>r</u><u>i</u><u>t</u><u>h</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

\displaystyle \large{a_{n + 1} - a_n = d}

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

<u>G</u><u>e</u><u>o</u><u>m</u><u>e</u><u>t</u><u>r</u><u>i</u><u>c</u>

\displaystyle \large{ \frac{a_{n + 1}}{a_n}  = r}

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

  • 2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

\displaystyle \large{ \frac{ - 54}{18}  = - 3 } \\  \displaystyle \large{ \frac{ 162}{ - 54}  = - 3}

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

\displaystyle \large{ a_{n + 1} = y } \\  \displaystyle \large{ a_n = 2 } \\  \displaystyle \large{ r =  - 3 }

From the:

\displaystyle \large{ \frac{a_{n + 1}}{a_n}  = r}

Substitute the values in.

\displaystyle \large{ \frac{y}{2}  =  - 3}

Multiply the whole equation by 2 to isolate y.

\displaystyle \large{ \frac{y}{2} \times 2  =  - 3 \times 2} \\  \displaystyle \large{ y =  - 6}

Therefore, the value of y is -6.

7 0
2 years ago
Someone please help me with the perimeter and area of this problem
Tcecarenko [31]

Answer: Perimeter = 40

               Area = 204

Step-by-step explanation:

Perimeter is the sum of all the sides:

    11 + 12 + 17 = 40

The area of a triangle is 1/2 base x height

   1/2( 17 x 24)

   1/2( 408) = 204

5 0
2 years ago
3. In a single growing season at the Smith Family Orchard, the average yield per apple tree is 150 apples when the number of tre
g100num [7]

Answer:

<em><u>A.10000</u></em>

<em><u>B.25 more trees must be planted</u></em>

Step-by-step explanation:

⇒Given:

  • The intial average yield per acre y_{i} = 150
  • The initial number of trees per acre  t_{i} = 100
  • For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
  • Total yield = (number of trees per acre)*(average yield per acre)

<em>A.</em>

⇒If the total trees per acre is doubled , which means :

total number of trees per acre t_{f} = 2*t_{i} = 200

the yield will decrease by : t_{f} - y_{i}

y_{f}= 150-100= 50

⇒total yield = 50*200=10000

<em>B.</em>

⇒to maximize the yield ,

let's take the number of trees per acre to be 100+y ;

and thus the average yield per acre = 150 - y;

total yield = (100+y)*(150-y)\\=15000+50y-y^{2} \\

this is a quadratic equation. this can be rewritten as ,

     ⇒   =15000+50y-y^{2}\\=15000+625 - (625 - 50y +y^{2})\\=15625 - (y-25)^{2}

In this equation , the total yield becomes maximum when y=25;

<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>

                 

3 0
3 years ago
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