Solve this system of equation without graphing.
5x + 2y = 29
5x - 2y = 41

Answers

Answer 1

Answer: Solving  we get x=7 and y= -3

Step-by-step explanation: We need to solve the following systems of equations:

Let:

Adding eq(1) and eq(2)

So, value of x=7

Putting value of x in eq(1) to find value of y:

So, value of y = -3

So, Solving  we get x=7 and y= -3

Keywords: Solving system of Equations

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Related Questions

can anybody help me please!!

Answers

Answer:

[tex]the \: equation \: of \: the \: statement \: is : \\ 5 {x}^{2} - 28x = 2500[/tex]

Solve.

–50=-10t
a.
–60
c.
–40
b.
5
d.
–5

Answers

Answer:

So the Correct Answer Is B.5    (T=5)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

T=5

Hope this helps!

Please mark Brainliest!

Answer:

−50=−10t

Answer:

t=5

Step-by-step explanation:

Steps-

switch sides- -10t = -50

divide both sides

-10t/-10 = -50/-10

Simplify

T=5

AHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH sombody help me:(

Answers

Answer:

Step-by-step explanation:

5.

a+2=b

b-5=c

c-3=d

d+4=e

e=2-5-3+4

e=-2 (a loss of 2 yards)

6.

-2+2.5=0.5

Samantha just opened a new restaurant. She earned $550 on the first day and $750 on the third day that she was open for business. If Samantha's earnings continue to increase at the same rate, by how much are her earnings increasing each day? $________ per day Show your work. HINT: Find the slope.

Answers

Answer:

Step-by-step explanation:

If Samantha's earnings continue to increase at the same rate, this means that her earning is increasing arithmetically.

If she earned $550 in the first day, we can say the first term is $550

If she earned $750 on the third day, we can say the third term is $750

For us to know by how much her money is increasing, we need to find the common difference d formed by the sequence

550, x , 750

T1 = 550

T2 = x

T3 = 750

Common difference d = T2-T1 = T3-T2

x - 550 = 750 - x = d

Let's calculate the second term first i.e x

Since x - 550 = 750 - x = d

x - 550 = 750 - x

Collect like terms

x+x = 750+550

2x = 1300

x = 1300/2

x = 650

d = T2-T1

d = x - T1

d = 650-550

d = 100

Hence her money keeps increasing by $100 each day

Exercice 3
Une société propose sur le marché trois formats de cônes glacés : le grand, d'un volume de
720 mL, le moyen et le petit.
a) Le cône moyen est une réduction du grand dans le rapport 75 %. Calculer son volume.
b) Le petit cône est une réduction du grand cône dans le rapport 50 %.
Marie affirme : « Le volume du petit cône est deux fois plus petit que celui du moyen >>
Qu'en pensez-vous ?
Exercice 4
Le volume d'une boule lyonnaise est environ 378 cm! Son diamètre est le triple de celui du
<< but >>
Calculer une valeur approchée du volume du but.
Windows is not genuine
Click this message to learn how to get genuine
le
10:38 PM
10/28/2020
I

Answers

I can explain this to you for 720 ML, LE morning 75+50% is exercise for 34 six 859.368% because 92% equals 46 times because it

whats the difference between irrational and rational numbers

Answers

Answer:

difference between irrational and rational numbers:

Rational numbers: They are numbers which can be expressed in the form of p/q and q is not equal to 0

Examples: 3=3/1 ,  0=0/1 , 17=17/1

Irrational Numbers:  They are numbers which cannot be expressed in the form of p/q where q is not equal to 0

Example: Root 2, 1. 1517825278235............... , 45.87812254.............

this is the major difference between irrational and rational numbers.

THERE ARE STILL MORE BUT THIS IS THE BASIC DIFFERENCE.

1/8k + 80= 1/2k + 120= ?
I need some help pls

Answers

1/8k + 80 = 1/2k + 120

Step 1: Subtract 1/2k from both sides.

1/8k + 80 - 1/2k = 1/2k + 120 - 1/2k

-3/8k + 80 = 120

Step 2: Subtract 80 from both sides.

-3/8k + 80 - 80 = 120 - 80

-3/8k = 40

Step 3: Multiply both sides by 8/(-3).

(8/-3) x (-3/8k) = (8/-3) x (40)

Answer: k = -320/3 or −106.667

What is the unit rate for 64 books on 4 shelves

Answers

Answer:

the unit rate would be 16 books per shelves because 64/4 would equal 16:)

Step-by-step explanation:

I’m pretty sure it’s 16

HELP PLS ASAP!! Use a calculator to find an approximate solution to the equation. Round any intermediate work and steps to three decimal places. Show all of your steps in solving the equation for full credit. (2 points)
7ln (x + 2.8) = 11.2

Answers

Answer:

x=e ​1.6−2.8

Step-by-step explanation:

What is 2
1
4
·
9
5
?

Answers

Answer:

20,330‬

Step-by-step explanation:

214 times 95 is 20,330‬.

20,330 I think correct me if I’m wrong

Help!!!! Having trouble finding the answer any help would be good

Answers

Answer: The slope is 3/2  or 1.5

Step-by-step explanation:

The line is going through the origin meaning that the slope will be the coordinate of one of the points divided by its y coordinate.  

One point that can be found on the line is  (2,3)

Divide the y coordinate by the x coordinate to find the slope.

The y coordinate is 3 and the x coordinate is 2.

3/2 = 1.5

The slope is 3/2  or 1.5.

Which steps should be used to compare the fraction 2/9 and 5/8

Answers

Answer:

the last one

Step-by-step explanation:

You need make the same denominator

9 = 3*3

6 = 3*2

it follows that 3 *3 *2 is the simplest denominator

the fraction with the 6 needs to be multiplied by 3/3 and the one with 9 with 2/2

the value of f(2) for the function f(x)=2x+1

Answers

-1/2, subtract 1 from each side then divide by 2

The Batmobile broke down so Batman went to the car dealership to purchase a new car. Batman negotiated the price of his car to an even $40,000. If Batman pays 8% tax for his car, how much will he pay total with tax?

(Please also show work)

Answers

Answer:

$43,200

Step-by-step explanation:

40,000*0.08=3,200

40,000+3,200=43,200

Hope this helps!

Help pls!!!!!!!!!!!!!!!

Answers

Answer:

(6,0) and (0,-12) straight line graph

Step-by-step explanation:

SOMEONE PLEASE HELP I need the answer AsAP

Answers

Answer:

it is d

Step-by-step explanation:

What is the range of the relation
(3,3)
(0,2)
(0,-3)
(-1,-2)
(2,-3)
(2,-4)

Answers

Domain: {-3, 2, 0}
Range: {2, -4, 6, -5 -3}
Range-{2,-4, 6,-5,-3}

A number increased by 27 is 233. Find the number.

Answers

Answer:

206

Step-by-step explanation:

233 - 27 = 206

Kai took five tests this semester. His scores are listed below.

92, 88, 90, 96, 84

What is the mean absolute deviation of Kai's test scores?In decimals

Answers

Answer:

3.2 0w0, hope this helps!

Step-by-step explanation:

I did this before

The mean absolute deviation of kai's test scores is 3.2.

What is mean absolute deviation?

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

According to the given question

We have

the given data 92, 88, 90, 96, 84

For calculating mean absolute deviation

we will first calculate mean

mean = [tex]\frac{92+88+90+96+84}{5} =\frac{450}{5} = 90[/tex]

Now we will calculate the distance between each data point and the mean :

|92 -90| =2|88-90|  =2|90-90| =0|96-90| = 6|84 -90| = 6

Add the distances together

2+2+0+6+6 = 16

Divide the sum by number of data points.

MAD( mean absolute deviation ) = [tex]\frac{16}{5} =3.2[/tex]

Hence, the mean absolute deviation of Kai's test scores is 3.2.

Learn more about the mean absolute deviation here:

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The weight of a honeybee is 1.2\cdot10^{-1}\text{ g}1.2⋅10 −1 g1, point, 2, dot, 10, start superscript, minus, 1, end superscript, start text, space, g, end text. The weight of the pollen collected by the bee on one trip is 6.0 \cdot 10^{-2} \text{ g}6.0⋅10 −2 g6, point, 0, dot, 10, start superscript, minus, 2, end superscript, start text, space, g, end text. What is the combined weight of the bee and the pollen? Express your answer in scientific notation.

Answers

Answer:

0.18 g

Step-by-step explanation:

Weight of honeybee = [tex]1.2\times 10^{-1}\ \text{g}[/tex]

Weight of pollen = [tex]6\times 10^{-2}\ \text{g}[/tex]

The above values can be written in the following ways

[tex]1.2\times 10^{-1}\ \text{g}=0.12\ \text{g}[/tex]

[tex]6\times 10^{-2}\ \text{g}=0.06\ \text{g}[/tex]

Weight mass = [tex]0.12+0.06=0.18\ \text{g}[/tex]

The combined weight of the honeybee and the pollen is 0.18 g.

Answer:

1.8 x 10^-1

Step-by-step explanation:

it would be 0.18 withought scientific notation.

A scientist claims that 7% 7 % of viruses are airborne. If the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 600 600 viruses would differ from the population proportion by greater than 3% 3 % ? Round your answer to four decimal places.

Answers

Answer:

The probability is [tex]P(|p-\^{p}| >  0.03)  =   0.0040[/tex]

Step-by-step explanation:

From the question we are told that

   The population proportion is [tex]p =  0.07[/tex]

   The mean of the sampling distribution is   [tex]\mu_p =  0.07[/tex]

   The sample size is n = 600

Generally the standard deviation is mathematically represented as

     [tex]\sigma_p  =  \sqrt{\frac{p (1 -p)}{n} }[/tex]

=>    [tex]\sigma_p  =  \sqrt{\frac{0.07(1 -0.07)}{600} }[/tex]    

=>    [tex]\sigma_p  =  0.010416 [/tex]    

Generally the probability that the proportion of airborne viruses in a sample of 600 viruses would differ from the population proportion by greater than 3% is mathematically represented as

      [tex]P(|p-\^{p}| >  0.03) =  1 - P(|p -\^{p}| \le 0.03)[/tex]

=>   [tex]P(|p-\^{p}| >  0.03)  =  1 -  P(-0.03 \le p -\^{p} \le 0.03 )[/tex]

Now  add p  to  both side of the inequality

=>   [tex]P(|p-\^{p}| >  0.03)  =  1 -  P( 0.07-0.03  \le \^{p} \le 0.03+ 0.07 )[/tex]

=>   [tex]P(|p-\^{p}| >  0.03)  =  1 -  P(0.04 \le \^{p} \le 0.10 )[/tex]

Now  converting the probabilities to their respective standardized score

=> [tex]P(|p-\^{p}| >  0.03)  =  1 -  P(\frac{0.04 - 0.07}{0.010416}  \le Z \le \frac{0.10 -0.07}{0.010416}  )[/tex]

=> [tex]P(|p-\^{p}| >  0.03)  =  1 -  P(-2.88  \le Z \le 2.88 )[/tex]

=>   [tex]P(|p-\^{p}| >  0.03)  =   1 - [P(Z \le 2.88) - P(Z \le -2.88)][/tex]

From the z-table  

       [tex]P(Z \le 2.88)  =  0.9980[/tex]

and

       [tex]P(Z \le -2.88)  = 0.0020[/tex]

So

     [tex]P(|p-\^{p}| >  0.03)  =   1 - [0.9980 - 0.0020][/tex]

=>   [tex]P(|p-\^{p}| >  0.03)  =   0.0040[/tex]

     

There were 8 judges at a gymnastic competition. Kathleen received these scores for her performance on the uneven parallel bars: 8.2, 8.7, 8.8, 8.8, 8.9, 8.9, 8.9, 9.2 Mean = 8.8 Median = 8.85 Mode = 8.9 Which statistic reflects a typical score? Explain.

Answers

Answer:

It is the MEAN

Step-by-step explanation:

Mean, median and mode given in the question are all used to measure central tendency of a given data. From the sets of data given, and from the values of the mean, median and mode (8.8, 8.85 and 8.9 respectively) it can be summarized that these values points the center of the sets of data trying to estimate the average.

MEAN is the statistic that reflects a typical score because when we look at the data (8.2, 8.7, 8.8, 8.8, 8.9, 8.9, 8.9, 9.2), it easily gives us the average score. Since mean = addition of the data value / the number of the data, it gives us Kathleen average score since it takes all the  judges scores into consideration giving us the typical score. Unlike mode that only use most occured data meaning it doen't use all the data and as such may not show the true average of the scores. Also, mode is not consistent when it comes to small number of data especially if no score occur most or we have more than one mode. It is not median because of the small number of scores (data).

Which ratio below is proportional to the ratio 5/6?
help me :(

Answers

Answer:

25/30

Step-by-step explanation:

simplify 25/30 by dividing both number by 5, and you'll get 25/5 = 5 and 30/5 = 6;

Hence 25/30 is the same as 5/6 proportionally

A school has adopted a section of highway to keep clean.if 1/3 of the section is 3/4 mile long how long is the section?,please help me out​

Answers

Answer:

The answer is 5/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 5/12


What are the steps in solving word problems involving multiplication of simple
fractions with other operations?

Answers

Answer:

See explanation

Step-by-step explanation:

For every question that comes your way, the first step is to understand the question.

The next, is to convert the word problems into algebraic expressions.

Lastly, you solve the expression accordingly.

Take for instance.

Ade has half a dozen eggs. How many dozen does Ade have?

We understand that; half means ½ and a dozen means 12.

So, the expression is

½ * 12 = 6 eggs

HELP ME PLEASE!!! this is a timed testttt

Answers

Answer:

1300

Step-by-step explanation:

add the S numbers than add the T number than there is your answer

1÷2/3 blank 1

I have to figure out if it is < > =​

Answers

Answer:

>

Step-by-step explanation:

Step 1: Define

1÷2/3 ? 1

Step 2: Evaluate 1÷2/3

1÷2/3 = 1 · 3/2 = 3/2

3/2 = 1.5

Step 3: Find

1.5 ? 1

1.5 > 1

What is the equation of the line that passes through the point (-6,4)(−6,4) and has a slope of -\frac{5}{6}−
6
5

?

Answers

Answer:

y - 4 = -5/6(x + 6)

Answer:

y-4=3/2(x+4)

Step-by-step explanation:

which is a unit rate? plis help :c

Answers

Answer:

6 hours : 1 book

Step-by-step explanation:

A unit rate is a rate with 1 in the denominator. If you have a rate, such as a price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

suppose you want to buy software for your computer. One piece of software costs $20.75. Another costs $10.59 and a third costs $18.25.
Use mental math to find the total cost. Explain.
How much more is the first piece of software than the second? Use mental math to decide.

Answers

Answer:

The total cost is 49.59 the answer for the second question is 10.16

Step-by-step explanation:

Part A. self explanatory, i just added all of the pieces together and got 49.59.

Part B. I just solved the expression 20.75 - 10.59 and got 10.16.

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