Solve the equation 6x + 3y = 15 for y. What does y equal if x = 2? If x = 5?

Answers

Answer 1
Part a. 6x +3y = 15
3y = 15 -6x
y = 5 - 2x

Part b. y = 1

Part c. y = -5

Related Questions

A child is to receive a dose of 0.5 teaspoon of cough medicine every 6 hours. If the bottle contains 24 ​doses, how many days will the medicine​ last?

Answers

The bottle will last 6 days
it will last 6 days. 

PRE-CAL/CAL MASTER NEEDED

f ( 2x − 1 ) = 4x^2 − 10x + 6

from f(x)=x^2-3x+2, h(x)=2x-1, f(h(x))

How is this: f ( 2x − 1 ) = 4x^2 − 10x + 6 derived from ^

Answers

for every x you see in the f function you will replace with the h function 
  

What is the e-file rejection error for an Invalid bank account or routing transit numbers?

Answers

The number error will be 0019 for invalid bank account or routing transit numbers. In the programming system, the error 0019 will be displayed if the program in banking system find No suitable provider for component, which indicates that the bank account or routing transit numbers is not written within the system itself.

Answer;

The Error code "0019".

Explanation;

-The e-file rejection error for an invalid bank account or routing transit numbers is error code "0019".

-This error code may be caused by a variety of reasons and is present in tax accounting software, where an e-file sent to the IRS is rejected, hence the error name. An incomplete installation might be one of the several reasons behind an e-file rejection error.

90=20+70 use the distributive property and the GCF OF 20 and 70 to write another related expression for 90 could you write another expression with a different common factor?

Answers

Final answer:

To write another expression for 90 using the distributive property and the GCF of 20 and 70, distribute the GCF to each term. Another expression with a different common factor can be written by multiplying each term by a different common factor.

Explanation:

To write another expression for 90 using the distributive property and the GCF of 20 and 70, we can rewrite 90 as (20 + 70). Using the distributive property, we can distribute the GCF to each term inside the parentheses, resulting in 20*(GCF of 20 and 70) + 70*(GCF of 20 and 70). The GCF of 20 and 70 is 10, so the expression becomes 20*10 + 70*10, which simplifies to 200 + 700, equaling 900.

Yes, we can write another expression with a different common factor. Let's say we use the GCF of 20 and 70, which is 10, to rewrite the expression. Instead of multiplying each term by 10, we can multiply 20 and 70 by a different common factor, such as 5. This gives us 20*5 + 70*5, which is equal to 100 + 350, resulting in 450.

6×12=(6×7)+(6×_)=answer plz

Answers

5.

12-7 = 5.

Hope this helps!

Evaluate the expression for the given value. 
 
36 ÷ m when m = 9



 
A.
324


 
B.
45


 
C.
27


 
D.
4

Answers

Plug 9 in for m
36/9=4

Final answer: D
36 / 9 = 4
answer

D. 
4

----------------------

A ladder leans against the side of a house. The top of the ladder is 10 ft from the ground. The bottom of the ladder is 6 ft from the side of the house. Find the length of the ladder. If necessary, round your answer to the nearest tenth

Answers

a^2 + b^2 = c^2
10^2 + 6^2 = c^2
100 + 36 = c^2
136 = c^2
sqrt 136 = c
11.7 = c.....the ladder is 11.7 ft

The length of the ladder is 11.66 ft.

What is the Pythagoras theorem?

The sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

a² + b² = c²

Given that a ladder leans against the side of a house. The top of the ladder is 10 ft from the ground. The bottom of the ladder is 6 ft from the side of the house.

Let the length of the ladder be x

Therefore, using Pythagoras theorem

x² = 10² + 6²

x² = 100 + 36

x = [tex]\sqrt{136[/tex]

x = 11.66 ft

Hence, the length of the ladder is 11.66 ft.

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(09.05) A golf ball is hit from the ground with an initial velocity of 208 feet per second. Assume the starting height of the ball is 0 feet. How long will it take the golf ball to hit the ground?

Answers

The amount of Time that it would take for the golf ball to hit the ground using the given parameters is; 13 seconds

How to solve projectile problems?

We are given;

Initial Velocity = 208 feet per second

Initial height = 0 ft

Now, the general equation to be used here is;

h(t)= -16t² + 208t

Factorizing the equation gives;

h(t) = -16t(t - 13)

At h = 0, we have;

-16t(t - 13) = 0

Thus;

t = 13 seconds

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Commutative property across multiplication for 2x10x7

Answers

2 x 10 x 7 = 7 x 10 x 2 = 10 x 2 x 7 = 7 x 2 x 10

Will the opposite of a opposite always be positive?

Answers

No, the opposite of an opposite will always be the same sign as the original number. The original number can be negative.

Hope this helps!

Yes, the opposite of an opposite will always return you to the original value, making it positive if you started with a positive number.

The question refers to the concept of opposites in Mathematics. When considering opposite numbers, the opposite of a positive number is negative, and vice versa. To answer the query, let’s break it down into steps.

First Opposite: The opposite of a positive number, say +5, is -5.Second Opposite: The opposite of -5 is, again, +5.

So, yes, the opposite of an opposite will always be positive if you start with a positive number. Similarly, the opposite of an opposite will be negative if you start with a negative number, returning to the original number. This concept is crucial in understanding signed numbers and their roles in arithmetic and algebra.

use the model to write an equivalent fraction 3 over 4

Answers

3/4 * 2/2 = 6/8 ;; an equivalent fraction to 3 over 4 would be 6 over 8, or 6/8

6/8 , 9/12 are the equivalent fraction 3 over 4

What is Fraction?

A fraction represents a part of a whole.

The given fraction is 3/4.

In the given fraction the numerator is three and denominator is four.

We need to find the equivalent fractions of 3/4.

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.

Let us multiply with same number in numerator and denominator to find the equivalent fractions.

3/4×2/2=6/8

3/4×3/3=9/12

Hence, 6/8 , 9/12 are the equivalent fraction 3 over 4

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if the quotient of -20 and 4 is decreased by 3 what number results

Answers

quotient is division

-20/4 = -5

-5 -3=

-8

the number is -8

your grandmother is in the hospital and is on a liquid diet. After examining her chart, a mistake is found stating that her weight is 500kg. what is the equivalent weight in pounds

Answers

The equivalent weight in pounds is 1102.31

Describe and correct the error made in solving the system of equations by elimination

Answers

the mistake was when she multiplied the 2nd equation by 5, she forgot to also multiply that last number 10 by 5 as well.

correction :
5x + 3y - z = 15
-x + 2y + 3z = 10...multiply by 5
---------------------
5x + 3y - z = 15
-5x + 10y + 15z = 50 (result of multiplying by 5)
--------------------add
13y + 14z = 65

The error that was made is that the constant term in the second equation was not multiplied by 5.

How to solve these system of linear equations?

In order to determine the solution to a system of two linear equations, we would have to evaluate and eliminate each of the variables one after the other, especially by selecting a pair of linear equations at each step and then applying the elimination method and Addition Method.

Based on the information provided, we have the following system of linear equations:

5x + 3y - z = 15               .........equation 1.

-x + 2y + 3z = 10               .........equation 2.

By multiplying the second equation by 5, we have the following:

(-x + 2y + 3z = 10) × 5 = -5x + 10y + 15z = 50      .........equation 3.

By adding equation 1 and equation 3, we have the following:

5x + 3y - z = 15

-5x + 10y + 15z = 50

13y + 14z = 65

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charlie wants to order lunch for his friend. hell order 5 sandwiches and a $3 kids meals for his little brother. charlie has $28. how much can he spend on each sandwich if they are all the same price?

Answers

Since he only spends 3 dollars on kids meals, we can subtract that from 28 to get 28-3-25. Next, we have to find out how much he paid for 5 sandwiches given that he has 25 dollars. If the cost of each sandwich is x, we therefore add x dollars for each sandwich purchase and we're left with 5x=25. Dividing both sides by 5, we get x=5

Answer:4 or less

Step-by-step explanation:

6x+3>27

The tax rate as a percent, r, charged on an item can be determined using the formula – 1 = r, where c is the final cost of the item and p is the price of the item before tax. Louise rewrites the equation to solve for the final cost of the item: c = p(1 + ). What is the final cost of a $40 item after an 8% tax is applied?

Answers

Sent a picture of the solution to the problem (s).

Answer:$43.20

Step-by-step explanation:

what is 15.2 rounded to the nearest tenth

Answers

It would stay the same. Hope this helps :)
the answer is 15 because the 2 is not 5 and above.

Can you use the values in Pascal’s triangle to find the powers of 11? Explain.

Answers

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Yes!

Ultimately (it states) all numbers in existence can be extracted from Pascal's Triangle.  Using his binomial formation of: (a + b)^0 = 1 , where y is the number you are using.  and (a + b)^x is the equation you use to find the answer of that row...  the usage of that row, and the formation of its components is how you find the powers of numbers in a given row...

You would be able to find each row of the Triangle, and by using the association of Multiplication, addition, distribution, and

If you look at the images below you will notice that to find a power of 11 at it's 6th power, you look at the 6th row of Pascal's Triangle... Although not completely relevant, I also added an image of using his Triangle to find the Powers of 2...

Remember, The images below are of only smaller versions of Pascal's Triangle, as his Triangle is of infinite size...

Yes, we can use the values in Pascal’s triangle to find the powers of 11

What is Pascal triangle?

Pascal triangles contains coefficient of (x + 1)'s expanded form's terms.

For first row, we have:

Thus, 1 is the value in the first row of Pascal triangle.

(x + 1) = 1

The variable x has coefficient 1, and that 1 itself, so second row of Pascal triangle has 1 , 1 as values.

It states that all numbers in existence can be extracted from Pascal's Triangle.

Using his binomial formation;

(a + b)^0 = 1 , where y is the number

(a + b)^x  is the equation that use to find the answer of that row. the usage of that row, and the formation of its components isto find the powers of numbers in a given row.

It would be able to find each row of the Triangle, and by using the association of Multiplication, addition, distribution.

Yes, we can use the values in Pascal’s triangle to find the powers of 11

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Solve the equation, and check the answer
5g+4(-5+3)=1-g

Answers

the answer is 5g - 8 is your answer
1- 4=-3
(-5+3)=-2
-3/-2=1.5
1.5 times 5=7.5
g=7.5

Water is flowing out of a conical funnel through its apex at a rate of 12 cubic inches per minute. If the tunnel is initially full, how long will it take for it to be one-third full? What is the height of the water level? Assume the radius to be 3 inches and the altitude of the cone to be 4 inches.

Answers

check the picture below.

so, bearing in mind that, the radius and height are two sides in a right-triangle, thus both are at a ratio of each other, thus the radius is at 3:4 ratio in relation to the height.

[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}\quad \begin{cases} r=3\\ h=4 \end{cases}\implies \stackrel{full}{V}=\cfrac{\pi \cdot 3^2\cdot 4}{3}\implies \stackrel{full}{V}=12\pi \\\\\\ \stackrel{\frac{2}{3}~full}{V}=12\pi \cdot \cfrac{2}{3}\implies \stackrel{\frac{2}{3}~full}{V}=8\pi ~in^3 \\\\\\ \textit{is draining water at a rate of }12~\frac{in^3}{min}\qquad \cfrac{8\pi ~in^3}{12~\frac{in^3}{min}}\implies \cfrac{2\pi }{3}~min[/tex]

[tex]\bf \textit{it takes }\frac{2\pi }{3}\textit{ minutes to drain }\frac{2}{3}\textit{ of it, leaving only }\frac{1}{3}\textit{ in it}\\\\ -------------------------------\\\\ \stackrel{\frac{1}{3}~full}{V}=12\pi \cdot \cfrac{1}{3}\implies \stackrel{\frac{1}{3}~full}{V}=4\pi\impliedby \textit{what's \underline{h} at this time?} \\\\\\ V=\cfrac{\pi r^2 h}{3}\quad \begin{cases} r=\frac{3h}{4}\\ V=4\pi \end{cases} \implies 4\pi =\cfrac{\pi \left( \frac{3h}{4} \right)^2 h}{3}[/tex]

[tex]\bf 12\pi =\cfrac{\pi \cdot 3^2h^2 h}{4^2}\implies 12\pi =\cfrac{9\pi h^3}{16}\implies \cfrac{192\pi }{9\pi }=h^3 \\\\\\ \sqrt[3]{\cfrac{192\pi }{9\pi }}=h\implies \sqrt[3]{\cfrac{64}{3}}=h\implies \cfrac{4}{\sqrt[3]{3}}=h \\\\\\ \cfrac{4}{\sqrt[3]{3}}\cdot \cfrac{\sqrt[3]{3^2}}{\sqrt[3]{3^2}}=h\implies \cfrac{4\sqrt[3]{9}}{\sqrt[3]{3^3}}=h\implies \cfrac{4\sqrt[3]{9}}{3}=h[/tex]

Simplify and determine the coefficient of (-x)(3y)(-2x).

a.-4
b.1/3
c.1
d.4

Answers

The coefficients in the equation (-x)(3y)(-2x) are the constants -1, 3, and -2. 
In order to simplify and determine only one coefficient we should multiply all  three constants together to get only one numerical constant .
The commutative law says hat you can rearrange a multiplication any way you want. so, (-1)*3*(-2)=(-3)*(-2)=6
The equation can be also simplified written as:
6x^2y
None of the option is the solution.

well.. i just got the same problem.. With the same multiple choice.. I'm going to put one. I might update with my score on the test after i finish. (this is an old question that i thought i might answer with my guess)


Corresponding range of Celsius temperature C

Answers

By rearranging the equation, we find that 45 = 9/5 C +32 and 85 = 9/5 C +32
Therefore the answer is, 7.22 < C < 29.44
As the formula says F = (9/5)C + 32 which is the equal to the following:

F - 32 = (9/5)C   =>   C = (F-32)*5/9

F1 = 45
F2 = 85

in Celsius they will be:
C1 = (45 - 32)*5/9 = 13*5/9 = [tex] 13\frac{5}{9} [/tex]
C2 = (85 - 32)*5/9 = 53*5/9 = [tex] 53\frac{5}{9} [/tex]

And the answer will be:

[tex] 13\frac{5}{9} [/tex] < C < [tex] 53\frac{5}{9} [/tex]

Ok folks 4 questions and 50 points up for grabs for correct answers....Need quickly thanks!!!

Answers

1. 2*0.8 = 1.6 PQ = 1.6

2. arctan(14/12) = 49.4 degrees

3. 15 * cos(70) = 5.1 feet

4.  x = 30 * cos(40) = 22.9813 = 23.0 miles

   y = 30 *sin(40) = 19.2836 = 19.3 miles

Given the piecewise function shown below, select all of the statements that are true.

Answers

When x = 1 (that is x > 0)  f(1)  = 1^2 - 1 = 0
So b is correct

The statements f(1) = 0 and f(-1) = 2 are true based on the piecewise function.

Options B and C are the correct answer.

We have,

The piecewise function:

f(x) = -x + 1, x < 0

f(x) = -2, x = 0

f(x) = x² - 1. x > 0

Now,

f(-2) = 0

False.

When x = -2, we are in the first condition, so f(-2) = -(-2) + 1 = 3, not 0.

f(1) = 0

True

When x = 1, we are in the third condition, so f(1) = (1)² - 1 = 0.

f(-1) = 2

True

When x = -1, we are in the first condition, so f(-1) = -(-1) + 1 = 2.

f(4) = 7

False.

When x = 4, we are in the third condition, so f(4) = (4)² - 1 = 15, not 7.

Therefore,

The statements f(1) = 0 and f(-1) = 2 are true.

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What is the value of digit 0 in 175,028

Answers

Answer:

its in the hundreads place but it has no value becuase its 0

Step-by-step explanation:

Tamara’s dosage of medication has recently decreased 20 milligrams per day. What is the total decrease in Tamara’s medication at the end of the week? Show your work.
Type answer here

Answers

20 mg times 7days = 140 mg/week

A home is to be built on a 56 foot 9 inch wide lot. The house is 5 feet 5 inches from the side of the lot and is 34 feet 10 inches wide. How far is the house from the other side of the lot?

Answers

check the picture below, so the distance of the house from the other side is that blue gap.

so, there are 12 inches in 1 foot, so let's just convert all those feet to inches and subtract them.

[tex]\bf 56'\implies (56\cdot 12)''\implies 672'' \\\\\\ 5'5''\implies (5\cdot 12+5)''\implies 65'' \\\\\\ 34'10''\implies (34\cdot 12 + 10)''\implies 418''\\\\ -------------------------------\\\\ 672''-(65+418)''\implies 189''\implies 15'9''[/tex]

Answer:

132

123


Step-by-step explanation:


An object is launched upward with an initial velocity of 64 feet per second from a platform 80 feet high. Write a model for the object? How many seconds until the maximum height is reached? What will be the maximum height? How many seconds until the object hits the ground

Answers

using one of the equations for costant acceleration 
s = ut + 0.5gt^2 + 80
s = 64t - 16t^2  + 80

s = -16t^2 + 64t + 80
   = -16[ t^2 - 4t) + 80
   = -16 ( t - 2)^2 + 64 + 80
   = -16(t - 2)^2 + 144
Time to maximum height = 2 seconds
Maximum height = 144 ft

Displacement when it hits the ground  = -80 so

-80 = -16t^2 + 64t + 80

solve for t 

t = 5.74 seconds




The model for the object's motion is [tex]h(t) = -16t^2 + 64t + 80[/tex]. It reaches its maximum height of 144 feet at 2 seconds. The object will hit the ground after 5 seconds.

To model the vertical motion of the object, we use the equation:

[tex]h(t) = -16t^2 + 64t + 80[/tex]

where:

h(t) is the height at time t64 ft/s is the initial velocity80 ft is the initial height[tex]16t^2[/tex] represents the effect of gravity (since the gravitational acceleration is approximately 32 ft/s2, and here it is halved to be per second squared)

Time to Reach Maximum Height

The time to reach the maximum height can be found by using the formula:

[tex]t = \frac{v_0}{|g|} = \frac{64}{32} = 2 seconds[/tex]

Maximum Height

Plug t = 2 seconds into the height equation:

[tex]h(2) = -16(2)^2 + 64(2) + 80 = 144 feet[/tex]

Time to Hit the Ground

To find when the object hits the ground (h(t) = 0), solve:

[tex]-16t^2 + 64t + 80 = 0[/tex]

Using the quadratic formula:

[tex]t = \frac{-64\pm\sqrt{64^2-4(-16)(80)} }{2(-16)}[/tex]

Simplifies to:

t = 5 seconds (since the negative value does not make sense in this context)

The object will hit the ground after 5 seconds.

how do i use parentheses to rewrite 16 - 4 × 3 + 7 so that it equals 120?

Answers

(16-4) x (3+7) when u subtract 16 and 4 you get 12. When u add 3+7 you get 10. After multiplying them together u get 120

(16-4) x (3+7) =120

when we subtract 16 and 4 you get 12.

When we add 3+7 you get 10.

After multiplying them together we get 120.

What are parentheses those called?

parentheses

Parentheses are a pair of punctuation marks that might be most customarily used to feature extra nonessential information or an aside to a sentence. Parentheses resemble two curved vertical lines: ( ). An unmarried one of these punctuation marks is called a parenthesis.

How do you operate parentheses?

Use parentheses to surround additional or supplemental data that clarifies or illustrates a point. Use parentheses to offer a digression or afterthought.Use parentheses to surround numbers or letters introducing objects in a list or outline.

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A produce store sold 63 red apples. If the ratio of red apples to green apples sold was 7:2, what is the combined amount of red and green apples sold?

Answers

7/2 = 63/g..7 red apples to 2 green apples = 63 red apples to g green apples
cross multiply
(7)(g) = (2)(63)
7g = 126
g = 126/7
g = 18

so they sold 63 red apples and 18 green apples...for a total of (63 + 18) = 81 apples sold

The total number of apples sold if, A produce store sold 63 red apples, The ratio of red apples to green apples sold was 7:2, which is 81.

What is the ratio?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.

Given:

A produce store sold 63 red apples,

The ratio of red apples to green apples sold was 7:2,

Assume the total number of apples sold is x then,

Total number of apple sold = 7x + 2x

But the number of red apples sold is given so,

7x = 63

x = 63 / 7

x = 9

Put the value of x in the above equation,

Total number of apple sold = 7 × 9 + 2 × 9

Total number of apple sold = 63 + 18

Total number of apples sold = 81

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