Solve the following systems of equations algebraically. Write your answer in the form of (x, y).
y = 3x + 5 and y = x + 19

Answers

Answer 1

Let's solve your system by substitution.
y
=
3
x
+
5
;
y
=
x
+
19

Step: Solve
y
=
3
x
+
5
for y:
y
=
3
x
+
5

Step: Substitute
3
x
+
5
for
y
in
y
=
x
+
19
:
y
=
x
+
19
3
x
+
5
=
x
+
19
3
x
+
5
+

x
=
x
+
19
+

x
(Add -x to both sides)
2
x
+
5
=
19
2
x
+
5
+

5
=
19
+

5
(Add -5 to both sides)
2
x
=
14
2
x
2
=
14
2
(Divide both sides by 2)
x
=
7

Step: Substitute
7
for
x
in
y
=
3
x
+
5
:
y
=
3
x
+
5
y
=
(
3
)
(
7
)
+
5
y
=
26
(Simplify both sides of the equation)

Answer:
x
=
7
and
y
=
26

Related Questions

Find percentage of .20

Answers

Answer: The percentage of 0.20 is 20%.

Step-by-step explanation: 0.20 represents the 20% of 100%.

Answer: 20%

Step-by-step explanation: You just move the dot 2 times to the right and it will be 20%

Asap, show the shaded area of the graf of lines 7x+10y=70, x-2y=0, 2x+y=0...​

Answers

Answer:

The answer is i have no clue

What is the question ?

Which measurement is most likely to be the mass of a strawberry?

Answers

Answer:

is there anything to go with this?

Step-by-step explanation:

Answer: D

Step-by-step explanation: Saw your recent comment on this

I need help with this question thanks!

Answers

Answer:

n= -10

Step-by-step explanation:

50-20= 30 so -3n=30. So n= -10.

Answer:

n=-10

Step-by-step explanation:

-3n+20=50 move constant to the right hand side

-3n=50-20 subtract the numbers

-3n=30 divide both sides by -3 and the answer is n=-10

Pretty please help!!!
The table shows the relationship of how many pounds of apples are needed to make a certain number of pies:
Number of pies: 5 10 15
Pounds of apples: 2 4 6

Answers

It’s really hard to see :(

In triangle $XYZ,$ $\angle Y = 45^\circ$ and $\angle Z = 60^\circ.$ If $XZ = 4,$ then what is $XY$?

[asy]
unitsize(3 cm);

pair X, Y, Z;

X = (0,1);
Y = (-1,0);
Z = (1/sqrt(3),0);

draw(X--Y--Z--cycle);

label("$45^\circ$", Y + (0.3,0.1), fontsize(10));
label("$60^\circ$", Z + (-0.2,0.1), fontsize(10));
label("$X$", X, N);
label("$Y$", Y, SW);
label("$Z$", Z, SE);
label("$4$", (X + Z)/2, NE);
[/asy]

Answers

Answer:

[tex]XY = 4.9[/tex]

Step-by-step explanation:

[tex]\angle Y = 45^\circ[/tex]

[tex]\angle Z = 60^\circ[/tex]

[tex]XZ = 4[/tex]

Required

Determine the length of XY?

This question is supported with the attachment.

To solve for the length of XY, we make use of the sine law which states:

[tex]\frac{sin\ A}{a} = \frac{sin\ B}{b} = \frac{sin\ C}{c}[/tex]

In this case:

[tex]\frac{sin\ \angle Y}{XZ} = \frac{sin\ \angle Z}{XY} = \frac{sin\ X}{YZ}[/tex]

Substitute in, the following values:

[tex]\angle Y = 45^\circ[/tex]

[tex]\angle Z = 60^\circ[/tex]

[tex]XZ = 4[/tex]

The expression becomes:

[tex]\frac{sin\ 45}{4} = \frac{sin\ 60}{XY}[/tex]

Cross multiply

[tex]XY * \sin\ 45 = 4 * \sin\ 60[/tex]

Make XY the subject

[tex]\frac{XY * \sin\ 45}{\sin\ 45} = \frac{4 * \sin\ 60}{\sin\ 45}[/tex]

[tex]XY = \frac{4 * \sin\ 60}{\sin\ 45}[/tex]

[tex]XY = \frac{4 * 0.8660}{0.7071}[/tex]

[tex]XY = \frac{3.4640}{0.7071}[/tex]

[tex]XY = 4.89888276057[/tex]

[tex]XY = 4.9[/tex] --- approximated

Answer:

XY = 4.9

Step-by-step explanation:

3.3^(2x+1)-103^x+1=0 need value of x

Answers

Answer:

The value of [tex]x[/tex] is approximately -1.531.

Step-by-step explanation:

Let [tex]3.3^{2\cdot x + 1}-103^{x+1} = 0[/tex], we proceed to solve this expression by algebraic means:

1) [tex]3.3^{2\cdot x + 1}-103^{x+1} = 0[/tex]  Given

2) [tex]3.3^{2\cdot x}\cdot 3.3 -103^{x}\cdot 103 = 0[/tex] [tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

3) [tex](3.3^{x})^{2}\cdot 3.3 -\left[\left( \sqrt{103} \right)^{2}\right]^{x}\cdot 103 = 0[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]

4) [tex](3.3^{x})^{2}\cdot 3.3 - \left[\left(\sqrt{103}\right)^{x}\right]^{2}\cdot 103 = 0[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]/Commutative property

5) [tex]\left[\left(\frac{3.3}{\sqrt{103}}\right)^{x}\right] ^{2}-\frac{103}{3.3} = 0[/tex] Existence of multiplicative inverse/Definition of division/Modulative property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

6) [tex]\left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\frac{103}{3.3}[/tex] Existence of additive inverse/Modulative property/[tex](a^{b})^{c} = a^{b\cdot c}[/tex]

7) [tex]\log \left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\log \frac{103}{3.3}[/tex] Definition of logarithm.

8) [tex]2\cdot x\cdot \log \left(\frac{3.3}{\sqrt{103}} \right)= \log \frac{103}{3.3}[/tex]     [tex]\log_{b} a^{c} = c\cdot \log_{b} a[/tex]

9) [tex]2\cdot x \cdot [\log 3.3-\log \sqrt{103}] = \log 103 - \log 3.3[/tex]      [tex]\log_{b} \frac{a}{d}[/tex]

10) [tex]x\cdot (2\cdot \log 3.3-\log 103) = \log 103 - \log 3.3[/tex]     [tex]\log_{b} a^{c} = c\cdot \log_{b} a[/tex]/Associative property

11) [tex]x = \frac{\log 103-\log 3.3}{2\cdot \log 3.3-\log 103}[/tex]   Existence of multiplicative inverse/Definition of division/Modulative property

12) [tex]x \approx -1.531[/tex]  Result

The value of [tex]x[/tex] is approximately -1.531.

Solve The Equation !
‐5x – 3 < 2x – 18

Answers

Answer:

x>15/7

Step-by-step explanation:

what's a slop in math

Answers

Answer:

Its the division of x axis divided by y axis

Answer:

The slope of the line is a measure of its steepness. You can find it with rise/run. The formula for slope is m=y2-y1/x2/x1

Tom got on a scale while on a vacation in France and noticed he weighed 75 kg. He read in a guidebook that 1 lb. = 0.45 kg. How much does Tom weigh in pounds​

Answers

Answer:

166.67 pounds

Step-by-step explanation:

Set up a proportion where x is Tom's weight in pounds:

[tex]\frac{75}{x}[/tex] = [tex]\frac{0.45}{1}[/tex]

Cross multiply and solve for x:

75 = 0.45x

166.67 = x

So, Tom weighs approximately 166.67 pounds

What is a equivalent expression for 10(y² + 2.45)

Answers

Answer:

10y²+24.5

Step-by-step explanation:

distribute.

10y²+24.5

Hope this helps plz hit the crown :D

The equivalent expression for the given expression is 10y²+24.5.

The given expression is 10(y² + 2.45).

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The equivalent expression is

10(y² + 2.45)

=10y²+24.5

Therefore, the equivalent expression for the given expression is 10y²+24.5.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

#SPJ2

The answer to a subtraction problem​

Answers

Answer:

The answer in a subtraction problem is called the difference.

Step-by-step explanation:

Hi there!

The answer to a subtraction problem is called rest or difference while the top thats being subtracted is called the minuend and the middle one is called the subtrahend.

what is equivalent to 1/2 (2x + 7)

Answers

Answer: x + 7/2
Explanation:

1/2(2x + 7) = x + 7/2

A person places $6860 in an investment account earning an annual rate of 2.9%, compounded continuously. Using the formula
V
=
P
e
r
t
V=Pe
rt
, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 11 years.

Answers

9514 1404 393

Answer:

  $9,437.65

Step-by-step explanation:

Fill in the given numbers and do the arithmetic.

  [tex]V=Pe^{rt}\\\\V=\$6860\cdot e^{0.029\cdot 11}=\$6860\cdot 1.375751\\\\\boxed{V=\$9{,}437.65}[/tex]

There are 60 seconds in a minute use a tape diagram to find the total number of seconds in 5 minutes and 45 seconds

Answers

60 x 5 + 45 = 345 Seconds

The answer is 345 seconds I hope it helped

BRAINLIST HELP TIMED

Answers

Answer:

its the second one

Step-by-step explanation:

u just mulitply the terms together and add the exponents

The ratio of teachers needs to be 1:30. If there were 120 students, how many teachers would be needed?

Answers

Answer:

4:120

Step-by-step explanation:

for 120 student they would be 4 teacher needed per 30 student

4:120

1/ The Hotel is 163 miles from your house.your car travels 10.5 miles for every litre of petrol. Work out approximately how many litres of petrol the journey will use.
2/The price of petrol is 138.9 pence per litre Work out the approximate cost for the petrol to the hotel .

3/ you expect to travel 50 miles in each hour of a jurney how long the whole journey should take

please help.​

Answers

Answer:

1. The journey will use 15.52 liters of petrol.

2. The approximate cost of petrol to hotel will be 2155.73 pence

3. The whole journey will take 3.36 hours

Step-by-step explanation:

Given that:

Distance of hotel from house = 163 miles

Distance covered by per liter = 10.5 miles

1/ The Hotel is 163 miles from your house.your car travels 10.5 miles for every litre of petrol. Work out approximately how many litres of petrol the journey will use.

Petrol used for total distance = [tex]\frac{Total\ distance}{Distance\ per\ liter}[/tex]

Petrol used for total distance = [tex]\frac{163}{10.5}=15.52\ liters[/tex]

The journey will use 15.52 liters of petrol.

2/The price of petrol is 138.9 pence per litre Work out the approximate cost for the petrol to the hotel .

Cost of per liter petrol = 138.9 pence

Cost for petrol to hotel = Petrol used for journey * Price per liter

Cost of petrol = 138.9 * 15.52 = 2155.73 pence

The approximate cost of petrol to hotel will be 2155.73 pence

3/ you expect to travel 50 miles in each hour of a jurney how long the whole journey should take.

Distance covered per hour = 50 miles

Time taken in whole journey = [tex]\frac{total\ distance}{distance\ per\ hour}[/tex]

Time taken in whole journey = [tex]\frac{168}{50}[/tex]

Time taken in whole journey = 3.36 hours

The whole journey will take 3.36 hours

Hence,

1. The journey will use 15.52 liters of petrol.

2. The approximate cost of petrol to hotel will be 2155.73 pence

3. The whole journey will take 3.36 hours

LOTS OF POINTS plz help due today!!!!!

Answers

Answer:

what numbers do you need answering??

Step-by-step explanation:

7.) $50.00
8.) 10 people
9.) $1920.00
10.) $20.00

let me know if any of these seem incorrect

. Ruiz wants to buy a coffee machine that costs
$45.00. How much would the cashier give Ruiz if she
gives the cashier a $100 bill?

Answers

Ruiz would get back 55 dollars 0 cents

He Should Get 55 Dollars Back

Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider depreciation on expensive items like cars. Businesses use depreciation as a loss when calculating their income and taxes. One company buys a new bulldozer for $109600. The company depreciates the bulldozer linearly over its useful life of 16 years. Its salvage value at the end of 16 years is $17600. A) Express the value of the bulldozer, V, as a function of how many years old it is, t. Make sure to use function notation. B) The value of the bulldozer after 7 years is $

Answers

Answer:

a. V = $109,600  - $5,750(t)

b.  $69,350

Step-by-step explanation:

a. The expression of the value of the bulldozer is as follows

V = $109,600 - (m) × (t)

where,

m = depreciation

t  = time in years

Now the equation would be

$109,600 - 16(m) = $17,600

m = ($109,600 - $17,600) ÷ (16)

= $5,750

Now the expression would be

V = $109,600  - $5,750(t)

b. Now the value of the bulldozer is

= $109,600 - $5,750 × 7 years

= $109,600 - $40,250

= $69,350

Estimate the quotient for:

4,819÷68

Answers

Answer:

≈ 70.87 (rounded to the nearest hundredth)

Step-by-step explanation:

-When you do 4,819 ÷ 68, you’ll get:

70.867647058....

-So, just round it to the nearest hundredth:

70.87

At a concert, the band has 18 men's T-shirts and 16 women's T-shirts. The band wants to set up tables to sell the shirts, with an equal number of men's and women's shirts available at each table and no shirts left over. What is the greatest number of tables the band can sell shirts from?

Answers

I think it’s 2, and each table has 9 men shirts and 8 women shirts

5) A student answered 81 problems on a test correctly and received a grade 90%.
How many problems were on the test, if all the problems were worth the same
number of points?

Answers

Answer:

90

Step-by-step explanation:

81/x=90/100

8100=90x

90=x

The total number of problems given in exam was 90.

PercentageWhat is percentage?

Percentage, which is a relative figure used to denote hundredths of any quantity. One percent (symbolised as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified.

How to calculate percentage?

Divide one number by the other, then multiply the result by 100 to get the percentage of the two numbers.

Calculation for the total number of question given:

A student correctly answered 81 problems.

Grade received by student is 90%

Let the total number of question given in the test be 'x'.

Thus,

90% of x = 81

(90/100)x = 81

x = (81×100)/90

x = 90

Therefore, the total number of question allotted to the student is 90.

To know more about how to conver percent to fraction?, here

https://brainly.com/question/317717

#SPJ2

`y=2x+1` was a positive slope because...

Answers

Step-by-step explanation:

.....because the coefficient of x is 2, a positive number.

Can anyone help with this it is for Geometry

Answers

Answer:

three angle one slide

Step-by-step explanation:

A rectangle I has a perimeter of 28 units, an area of 48 square units, and sides that are either horizontal or vertical. If one vertex is the point (-5,-7) and the origin is in the interior of the rectangle, fi the vertex of the rectangle is opposite of (-5,-7).

Answers

Ask your teacher because I don’t know

Answer:

B, C, E

Step-by-step explanation:

On edge 2021

The inter quartile range of a distribution is 7. If the 25th percentile is 16. Find the upper quartile

Answers

Given:

Inter quartile range(IQR) of a distribution = 7

25th percentile = 16

To find:

The upper quartile.

Solution:

We have,

IQR = 7

25th percentile = lower quartile = 16

We know that,

IQR = Upper quartile - Lower quartile

Let the upper quartile be [tex]Q_3[/tex].

Using the above formula, we get

[tex]7=Q_3-16[/tex]

Adding 16 on both sides, we get

[tex]7+16=Q_3-16+16[/tex]

[tex]23=Q_3[/tex]

Therefore, the upper quartile of the distribution is 23.

6) Calculate the slope of a line containing the points (-3,5) and (-7,11).

Answers

Slope: (y2-y1)/(x2-x1)
(11-5)/(-7+3) = 6/-4 = 3/-2
The slope is -3/2

slopev=

[tex]diffrence \: in \: y \: coordinate \\ diffrence \: in \: x \: coordinate[/tex]

so

Y=11_5 =6

X = -7_(-3) = -4.

slope = (-4,6)

make as brainlist

Find the slope of the line containing the points in the table below

Answers

Answer:

slope = 3

Step-by-step explanation:

Choose any two points: For example, (2, 4) and (4, 10)

Find the difference in y. This is called the "rise."

rise = 10 - 4 = 6

In the same order, find the difference in x. this is called the "run."

run = 4 - 2 = 2

slope = rise/run

slope = 6/2

slope = 3

Other Questions
As you finish the poem, record any details thatrelate to the topic of American identity. 2. What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when theinitial deposit is $1000?O $1300.50N.O $1020.11O $1012.52O $1348.07 The total weightof 25 books is 125pounds. How manypounds would 70books weigh? What is the meaning of the word "lamentable" as it is used in thissentence from Winston Churchill's Address to Parliament?I will say: It is to wage war, by sea, land and air, with all our might andwith all the strength that God can give us; to wage war against amonstrous tyranny, never surpassed in the dark and lamentablecatalogue of human crime.A) celebratoryB) cowardlyC) regrettableD) satisfactory A LITTLE HELP HERE PEOPLE BTW IF UR RIGHT BRAINLIST IT IS........ Refer to Explorations in Literature for a complete version of this speech.Which excerpt from George Washington's Farewell Address best expresses a major theme of the address?The nation, prompted by ill-will and resentment, sometimes impels to war the government, contrary to the best calculations of policy.Whatever may be conceded to the influence of refined education on minds of peculiar structure, reason and experience both forbid us to expect that national morality can prevail in exclusion of religious principle.I have the consolation to believe that, while choice and prudence invite me to quit the political scene, patriotism does not forbid it.In the execution of such a plan, nothing is more essential than that permanent, inveterate antipathies against particular nations, and passionate attachments for others, should be excluded If the half-life of substance A is 1.5 years, how long would it take an 8.0 gram sample of stances A to decay such that only 1.0 gram remained? A cellular phone company charges $67.95 per month for a service plan that includes 6 GB of data. In addition to the basic monthly rate, the company charges $8.95 for each additional GB of data over 6 GB. A customer on this plan receives a bill for $148.50. How much data did this customer send and receive during the month? PLEASE HELP VERY URGENT!!!!!!!!!!!!!!!Simplify (5 ^1/3)^3A. 5B. 5^9C. 1/5D. 5^3 help me pleaseeeee!!! At an electronics store, the price of a tablet is marked down 15% to $212.50What was the price of the tablet before the markdown?Enter your answer in the box.Please ai need answers fast!!!! A student designs an experiment to demonstrate the conservation of gravitational potential and kinetic energy. She drops a wooden block from rest through a photogate 2 m below. If energy is conserved, how fast should the block be traveling when it passes through the photogate?A.2.0 m/sB.6.3 m/sC.9.8 m/sD.19.6 m/s what is an equetion of the line that paraell to y=3x - 8and passes through the point[4,-5] Assume the average child weighs 40 pounds at age 3. Assume theaverage child weighs 70 pounds at age 6. What is the average number ofpounds the child gains per year between ages 3 and 6? A government estimates the cost to design new radar technology over a period of $m$ months. The government estimates $840,000 for equipment, $15,000 for software, and $40,000 per month for wages. Use an algebraic expression to find the total cost the government estimates when the project takes 16 months to complete. The difference btwn increasing a number by 20% and decreasing the same number by15% is 14 what is the number? This is for a friend. Please help!!!!! please help i cant figure this problem out Also its due today According to Polks message to Congress, what had Mexico done to cause a war between the U.S. and Mexico? HELPPPPPPP PLEASEEEE PLEASEEEE PLEASEEEE PLEASEEEEE PLEASEEEEE