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borishaifa [10]
3 years ago
15

Ter 1: Solving Simple Equation Solve x +5 = 8.​

Mathematics
2 answers:
QveST [7]3 years ago
5 0

Answer:

x = 3

Step-by-step explanation:

Step 1: Write equation

x + 5 = 8

Step 2: Subtract 5 on both sides

x = 3

Step 3: Check

<em>Plug in x to verify if it's a solution.</em>

3 + 5 = 8

8 = 8

Andru [333]3 years ago
3 0

Answer:

3

Step-by-step explanation:

Step 1:

x + 5 = 8

Step 2:

x = 8 - 5

Answer:

x = 3

Hope This Helps :)

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Pls I need help on this one
OlgaM077 [116]

Answer:

1.5 for half a batch and 1 and 0.16666666.. batch

Step-by-step explanation:

3 cups=1 batch so 3/2= 1.5 cups=1/2 batch

4 cups=1 and .1666 batches

5 0
3 years ago
Xavier surveyed a random sample of the grade levels of the Spanish Club members in the county. The bar graph shows the results o
pishuonlain [190]

Answer:

80

Step-by-step explanation:

If you add each value it equals 30.

30x10=300 so 8 (value of the 9th grade bar) times 10 equals 80.

8 0
2 years ago
Read 2 more answers
3. A rare species of aquatic insect was discovered in the Amazon rainforest. To protect the species, environmentalists declared
navik [9.2K]

The number of months until the insect population reaches 40 thousand is 14.29 months and the limiting factor on the insect population as time progresses is 250 thousands.

Given that population P(t) (in thousands) of insects in t months after being transplanted is P(t)=(50(1+0.05t))/(2+0.01t).

(a) Firstly, we will find the number of months until the insect population reaches 40 thousand by equating the given population expression with 40, we get

P(t)=40

(50(1+0.05t))/(2+0.01t)=40

Cross multiply both sides, we get

50(1+0.05t)=40(2+0.01t)

Apply the distributive property a(b+c)=ab+ac, we get

50+2.5t=80+0.4t

Subtract 0.4t and 50 from both sides, we get

50+2.5t-0.4t-50=80+0.4t-0.4t-50

2.1t=30

Divide both sides with 2.1, we get

t=14.29 months

(b) Now, we will find the limiting factor on the insect population as time progresses by taking limit on both sides with t→∞, we get

\begin{aligned}\lim_{t \rightarrow \infty}P(t)&=\lim_{t \rightarrow \infty}\frac{50(1+0.05t)}{2+0.01t}\\ &=\lim_{t \rightarrow \infty}\frac{50(\frac{1}{t}+0.05)}{\frac{2}{t}+0.01}\\ &=50\times \frac{0.05}{0.01}\\ &=250\end

(c) Further, we will sketch the graph of the function using the window 0≤t≤700 and 0≤p(t)≤700 as shown in the figure.

Hence, when the population P(t) (in thousands) of insects in t months after being transplanted by P(t)=(50(1+0.05t))/(2+0.01t) then the number of months until the insect population reaches 40 thousand 14.29 months and the limiting factor on the insect population is 250 thousand and the graph is shown in the figure.

Learn more about limiting factor from here brainly.com/question/18415071.

#SPJ1

8 0
2 years ago
Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly. What will his balance be after he has made exactly
damaskus [11]

Answer:

The balance be after he has made exactly half of his monthly payments is $56881.4.

Step-by-step explanation:

Given : Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly.

To find : What will his balance be after he has made exactly half of his monthly payments?

Solution :

Formula of monthly payment ,

M=\frac{\text{Amount}}{\text{Discount factor}}  

Discount factor D=\frac{1-(1+i)^{-n}}{i}  

Where, Amount = $40,000

Rate r= 4% compounded monthly

i=\frac{4}{100}=0.04  

Time = 10 years  

n=10\times12=120  

Now, put all the values we get,  

D=\frac{1-(1+i)^{-n}}{i}  

D=\frac{1-(1+0.04)^{-120}}{0.04}  

D=\frac{1-(1.04)^{-120}}{0.04}  

D=\frac{1-0.00903}{0.04}  

D=\frac{0.9909}{0.04}  

D=24.7725  

M=\frac{\text{Amount}}{\text{Discount factor}}  

M=\frac{40000}{24.7725}  

M=1614.69  

Half of the monthly payment is $807.345

Payment for 10 years is 807.345\times 120=96881.4

The balance is $96881.4-$40000=$56881.4

Therefore, The balance be after he has made exactly half of his monthly payments is $56881.4.

3 0
3 years ago
Read 2 more answers
The area of a parallelogram is 88.58 sq cm. The length of the base is 8.6 cm. What is the height?​
Evgen [1.6K]

Answer:

10.3 is the length

Step-by-step explanation:

If the area of a parallelogram is B * H then finding one side is dividing area by base or by height

88.58 / 8.6

6 0
1 year ago
Read 2 more answers
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