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Varvara68 [4.7K]
3 years ago
8

Solve the system be either substitution or elimination 3x-5y=21 and 2x+y=1

Mathematics
2 answers:
hram777 [196]3 years ago
6 0

Answer:

x = 2, y = -3.

Step-by-step explanation:

3x - 5y = 21

2x + y = 1

We can use elimination by first multiply the second equation by 5:-

10x + 5y = 5  Now add this to the first equation:-

13x = 26

x = 2.

Now plug x = 2 anto the second equation to find y:-

2(2) + y = 1

y = 1 - 4 = -3.

IRISSAK [1]3 years ago
4 0

Answer:

(2,-3)

Step-by-step explanation:

I used substitution and rearranged the second equation to y=-2x+1. Then I replaced the y in the first equation with -2x+1. So, I got 3x-5(-2x+1)=21. When you solve that you get 13x=26 or x=2. Then you replace x with 2 in either equation and end up with y=-3.

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What weight of dry substance is in 50g of a 3% substance solution? What weight of an 8% solution can we have with the same weigh
Gnoma [55]

Answer:

4.5 g 56.25 g Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So 150 g * 3% = 150 g * 0.03 = 4.5g For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution. First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution: 3/8 * 150 g = 56.35 g Or calculate it from scratch, like 4.5/X = 8/100 450/X = 8 450 = 8X 56.25 = X In both cases, the result is that you desire 56.25 grams of 8% solution.

8 0
3 years ago
Olivia is making a triangular pyramid model for math class. The triangular base has a height of 5 inches and a base of 8 inches.
Vesna [10]

Answer:

66.7 in^3

Step-by-step explanation:

The volume of a triangular pyramid is given by

V = 1/3 B h

where B is the area of the base and h is the height

Calculate the area of the base.  The base is a triangle

B = 1/2 bh  where b is 8 and h is 5

  = 1/2 (8) * 5

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V = 1/3 (20) 10

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To the nearest tenth

66.7 in^3

7 0
3 years ago
Read 2 more answers
Can anyone help me?
goldfiish [28.3K]

Given:

A right angle triangle ABC, right angled at C.

To find:

The measure of θ.

Solution:

In a right angle triangle,

\tan \theta=\dfrac{Opposite}{Adjacent}

In triangle ABC,

\tan \theta=\dfrac{AC}{BC}

\tan \theta=\dfrac{2.7}{5}

\tan \theta=0.54

It can be written as

\theta=\tan^{-1}0.54

\theta\approx 28.369

Therefore, the measure of θ is 28.369.

5 0
3 years ago
Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.
AveGali [126]

Answer: Time taken by him in going = 8 hours

Time taken by him in returning =  9 hours

Step-by-step explanation:

Let the total distance from home to New York is x miles,

\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

And, returned over the same road at the rate of 40 mph.

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours,    ( 1 hours = 60 minutes )

⇒ \frac{x}{40}-\frac{x}{45}=\frac{1}{2}

⇒ \frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}

⇒ \frac{x}{360} = \farc{1}{2}

⇒ 2x=720

⇒ x=360\text{ miles}

Hence, the total distance from home to New York = x miles = 360 miles

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

=\frac{360}{45}=8\text{ hours}

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

=\frac{360}{40}=9\text{ hours}

3 0
3 years ago
Please please help I will give brainliest
butalik [34]

Answer:

67

4*4*4=64

64+3=

67

8 0
3 years ago
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