Solve this sumutaneous equation
2x-5 y=9
3x+4y=2

Answer:

Step-by-step explanation:

[tex]3x-3<9\qquad\text{add 3 to both sides}\\3x-3+3<9+3\\3x<12\qquad\text{divide both sides by 3}\\\dfrac{3x}{3}<\dfrac{12}{3}\\\boxed{x<4}\\\\============================\\\\5x+2<32\qquad\text{subtract 2 from both sides}\\5x+2-2<32-2\\5x<30\qquad\text{divide both sides by 5}\\\dfrac{5x}{5}<\dfrac{30}{5}\\\boxed{x<6}[/tex]

Answer:

2824

Step-by-step explanation:

Take the number of pounds and divide by the number of people:

3.474×10⁹ / 1.23×10⁶

Divide the coefficients and subtract the exponents:

(3.474 / 1.23) × 10⁹⁻⁶

2.824×10³

So the country produced about 2,824 pounds of garbage per person in 2005.

It’s > because when you square root 18 it’s 4.24264069

Answer:

The answer would be C, Greater Than, >.

Step-by-step explanation:

In this question, it is asked if 5 is equal to, less than or greater than the square root of 18. So we first need to find out the value of square root 18. We can do it manually or with a scientific calculator. If we do it with a calculator, we would come to know that the answer of square root 18 is 4. 24264068. Now we would compare it with 5. We will have to see if 5 is equal to, less than or greater than this value of square root of 18. So it is clear from the above answer of square root 18, that it is less than 5.

So the answer is C, that shows that 5 is greater than square root of 18, i-e 4.24264068.

Answer:The decimal 4.39 equals 439%

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 4.39 × 100 = 439% (answer).

The ease way:

1) Move the decimal point two places to the right: 4.39 → 43.9 → 439.

2) Add a % sign: 439%

Answer: 439%

The equivalent value of the percentage is A = ( 4.39/100 ) = 4.39 %

Given data ,

Let the percentage be represented as A

Now , the value of A is

Let the numerator of the fraction be p

where the value of p = 4.39

Let the denominator of the fraction be q

where q = 100

Now , the fraction is A = p/q

On simplifying the expression , we get

So , the left hand side of the equation is equated to the right hand side by the value of p/q

A = 4.39/100

A = 0.0439

On further simplification , we get

A = 0.0439 = 4.39 %

So , the percentage is 4.39 %

Therefore , the value of A = 4.39 %

Hence , the expression is A = 4.39 %

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Answer:

The center is the point [tex](-1,2)[/tex]

Step-by-step explanation:

we know that

The center of the circle is equal to the midpoint of the endpoints of the diameter

so

The formula to calculate the midpoint between two points is equal to

[tex]M(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

substitute the values

[tex]M(\frac{-7+5}{2},\frac{3+1}{2})[/tex]

[tex]M(\frac{-2}{2},\frac{4}{2})[/tex]

[tex]M(-1,2)[/tex]

therefore

The center is the point [tex](-1,2)[/tex]

Answer:

11/15.

Step-by-step explanation:

If we consider a right angled triangle we see that

in this case  cos θ = sin (90 - θ)  so the answer is 11/15.

My dog died but answer is 0

-9b + 6

Multiply the -3 by each term in the first parentheses.

(-3 * 3b) + (-3 * -2)

Now just simplify.

-9b + 6

Around 175 dollars with that because that’s 20 hours

Answer:

$170

Step-by-step explanation:

add the hours first

2+3+4+5+6= 20 hours

multiply that by how much she makes per hour

20*8.75= 175

Answer:

Option A

Step-by-step explanation:

Positive trend will start from bottom to going upwards and negative trend will start from the top to bottom.

Weight and height is also logical because as height goes up, weight will follow up.

Answer:

The y-intercept would be 12.

Step-by-step explanation:

In the problem:

4x=slope

12=y-intercept

AnswBetty correctly determined that the ordered pair (–3, 5) is a solution to the system of linear equations 6 x + 5 y = 7 and x + 4y = 17. Based on this information, which statement is correct?

(–3, 5) satisfies neither the equation 6x + 5y = 7 nor the equation x + 4y = 17.

(–3, 5) satisfies the equation 6x + 5y = 7 but not the equation x + 4y = 17.

(–3, 5) satisfies the equation x + 4y = 17 but not the equation 6x + 5y = 7.

(–3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.

Step-by-step explanation:

[tex]f(x)=4-x^2,\ g(x)=2-x\\\\(f+g)(x)=f(x)+g(x)\\\\\text{therefore}\\\\(f+g)(x)=(4-x^2)+(2-x)=-x^2-x+(4+2)=-x^2-x+6\\\\\text{It's the quadratic function. The domain is the set of all real numbers}\ x\in\mathbb{R}[/tex]

Answer:

9

Step-by-step explanation:

2p= 18

p = 18 ÷ 2

p = 9 hope it helps u

Answer:

p=9

Step-by-step explanation:

since TU is the midsegment in the triangle, then T and U are both midpoints.

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ R(\stackrel{x_1}{0}~,~\stackrel{y_1}{2b})\qquad Q(\stackrel{x_2}{-2a}~,~\stackrel{y_2}{0}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \stackrel{midpoint}{T}=\left( \cfrac{-2a+0}{2}~~,~~\cfrac{0+2b}{2} \right)\implies T=\left( \cfrac{-2a}{2}~,~\cfrac{2b}{2} \right) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill T=(-a,b)~\hfill[/tex]

Answer:

Tbh I have no clue..

Answer:

30

Step-by-step explanation:

Answer:

30% is greater than 0.03

Step-by-step explanation:

30% = 0.3, which is greater than 0.03

Answer:

12

Step-by-step explanation:

21=31

31=7+2-3+0=12

This is correct because linear equations mean add subtract divide and multiply instead of finding roots and squares

Answer:

Amount invested at 8% = $2800

Amount invested at 5.5% = $2200.

Step-by-step explanation:

Let the amount invested at 8% = x

Then the amount invested at 5.5% = 5000-x

Then we get equation:

[8% of x] + [5.5% of (5000-x)] = [6.9% of 5000]

8(x) + 5.5(5000-x) = 6.9(5000)

8x + 27500 - 5.5x = 34500

8x - 5.5x = 34500-27500

2.5x = 34500-27500

2.5x = 7000

x = 7000/2.5

x = 2800

then  the amount invested at 5.5% = 5000-x = 5000-2800 = 2200

Hence final answer is given by:

Amount invested at 8% = $2800

Amount invested at 5.5% = $2200.

The answer to 9 would be (-3,-4) and (2,6) because if you plug in -3 for x in either of the equations and plug in 4 for y in the equations, both sides of the equation are the same number. also, if you plug in 2 for x and 6 for y both sides of the equation equal each other. The answer to 10 is (-1,1) and (7,33). if you plug them in they are equal:)

Answer:

Second point (-5/2, -7/2)

First point (3/2, 17/2)

Step-by-step explanation:

We have two equations, and we want to know at wich poin are equal. Hence, we have a system of equations and the solution is nothing more that the point (x,y) where those functions intercepts.

4x2+ 7x -11=y

3x+4=y

Lets use substitute method

4x2+7x-11=3x+4

This can be re arrange as the following eq:

4x2+4x-15=0

A quadratic equation, its solution can be obtained using the below eq.

[tex]x=\frac{-b+/- \sqrt{x^{2}-4ac } }{2a}[/tex]

where a=4, b=4, c=-15.

Remember, the quadratic equation as a +/- sign, meaning that you will obtain one answer using the + operator and other using the - operator.

By doing the above, we have x=-5/2 and x=3/2

By using x=3/2 in equation of line (3x+4=y)  we have y=17/2

First point (3/2, 17/2)

By using x=-5/2 in equation of line (3x+4=y) we have y= -7/2

Second point (-5/2, -7/2)

Those points are the ones where the line and the parabola intercept.

The Answer Is B

Explanation : If you divide 1497 by 60 you get 24.95 24 divide by 8 is 3

The number of days, she will be there are 3 days. Then the correct option is B.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]

Susan plans on visiting her friend in the next state the distance to her friend is 1497 miles.

If she leaves on Friday and drives 8 hours at a time at 60 mph. Then the number of days, she will be there.

The distance she covers in a day will be

D = 60 × 8

D = 480 miles

Then the number of the days will be

→ 1497 / 480

→ 3.11875

→ 3 days and 1 hour.

More about the speed link is given below.

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Answer:

Step-by-step explanation:

2/9 when you divide it is 0.22222222222222

Answer:

First option: [tex]\frac{3}{7}[/tex]

Fourth option: [tex]\frac{2}{9}[/tex]

Step-by-step explanation:

Repeating decimals are also known as "Recurring decimals", are those decimal numbers whose digit or group of digits repeats indefinitely.

To know which of the given fractions can be expressed as Repeating decimals, you need to divide the numerator by the denominator in each option. Then:

First option: [tex]\frac{3}{7}=0.428571428571[/tex] (It can be expressed as repeating decimal)

Second option: [tex]\frac{2}{5}=0.4[/tex]

Third option: [tex]\frac{3}{4}=0.75[/tex]

Fourth option: [tex]\frac{2}{9}=0.2222222222[/tex] (It can be expressed as repeating decimal)

Answer:

The surface area of the prism is [tex](18\sqrt{3}+180)\ in^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of the triangular prism is equal to

[tex]SA=2B+PH[/tex]

where

B is the area of the triangular base

P is the perimeter of the triangular base

H is the height of the prism

Find the area of the base B

Applying the law of sines to find the area of a equilateral triangle

[tex]B=\frac{1}{2}b^{2} sin(60\°)[/tex]

we have

[tex]b=6\ in[/tex]

[tex]sin(60\°)=\sqrt{3}/2[/tex]

substitute

[tex]B=\frac{1}{2}6^{2}(\sqrt{3}/2)[/tex]

[tex]B=9\sqrt{3}\ in^{2}[/tex]

Find the perimeter P

[tex]P=3*6=18\ in[/tex]

we have

[tex]H=10\ in[/tex]

substitute the values

[tex]SA=2(9\sqrt{3})+(18)(10)=(18\sqrt{3}+180)\ in^{2}[/tex]

Answer:

One effect of higher food prices in a given country is higher consumer price index (CPI) inflation.However, higher food prices affect people in different economies differently.

The impact of rapidly rising food prices on CPI inflation is substantially larger in emerging market economies than advanced economies

This effect tends to be much greater for countries that are 1) large net importers of food, and 2) where households spend a greater percentage of their income on food (meaning that they have a much larger weighting of food in their CPI basket).

In short, higher food prices don't hurt everyone equally. Poorer, developing economies feel it much worse.

Step-by-step explanation:

Answer:

Here's some you can use below!:

Step-by-step explanation:

Oil is used in the processing of many food products. In additional, oil is used in the transportation of food. As a result, with oil price increases, the price of food increases as well.

The world population continues to grow, and with that comes increased demand of various food products. As a result, this rising demand directly leads to higher prices.

The increases in food prices have already taken effect and are not likely to improve in the near future. As of February 2011, the price of wheat has increased 83% and the price of corn has doubled since one year earlier. As feed becomes more expensive, the cost of beef products is expected to increase by almost 40%, leading to much higher prices for any meat eaters out there. With unemployment remaining at very high levels, these prices will serve to further put a dent in our wallets.

The situation is even more dire in poorer countries as many of their citizens spend about 80% of their income on basic food products. As a result, food price increases can be devastating to people in these countries, with an additional 44 million people already having been pushed into poverty. The food crisis has inspired riots in countries such as Egypt, Haiti, Tunisia, and Algeria.

Answer:

3 more trays

Step-by-step explanation:

At 35 cookies per tray, x trays is sufficient for an output of 840 cookies.  Dividing 840 cookies by 35 cookies/tray, we get  24  trays.

But Ms. Sharp already has 21 trays.

Thus, she needs 3 more to be able to bake 840 cookies.

Ms Sharp will need to bake 3 more trays of cookies to meet the requirement of 840 cookies.

To determine how many more trays of cookies Ms. Sharp needs to bake, we first calculate the total number of cookies she has already baked. She baked 21 trays with 35 cookies on each tray:

[tex]\[21 \text{ trays} \times 35 \text{ cookies per tray} = 735 \text{ cookies}\][/tex]

Ms. Sharp needs a total of 840 cookies. Therefore, we need to find out how many more cookies are required:

[tex]\[840 \text{ cookies} - 735 \text{ cookies} = 105 \text{ cookies}\][/tex]

Each tray contains 35 cookies, so we need to determine how many more trays are required to bake 105 cookies:

[tex]\[\frac{105 \text{ cookies}}{35 \text{ cookies per tray}} = 3 \text{ trays}\][/tex]

Therefore, Ms. Sharp will need to bake an additional:

[tex]\[\boxed{3}\][/tex] trays of cookies.

Step-by-step explanation:

The point-slope of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

We have the slope m = 71 and the point (-2, 4).

Substitute:

[tex]y-4=71(x-(-2))\\\\\bold{y-4=71(x+2)}[/tex]

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

Convert:

[tex]y-4=71(x+2)[/tex]         use the distributive property

[tex]y-4=71x+142[/tex]         add 4 to both sides

[tex]\bold{y=71x+146}[/tex]

The standard form of an equation of a line:

[tex]Ax+By=C[/tex]

Convert:

[tex]y=71x+146[/tex]            subtract 71x from both sides

[tex]-71x+y=146[/tex]        change the signs

[tex]\bold{71x-y=-146}[/tex]

The general form of an equation of a line:

[tex]Ax+By+C=0[/tex]

Convert:

[tex]71x-y=-146[/tex]           add 146 to both sides

[tex]\bold{71x-y+146=0}[/tex]

Answer: third answer

Step-by-step explanation:

Answer:

a = 10√3, b = 5√3, c = 15; d = 5

Step-by-step explanation:

d = 10/2 = 5

b = 5√3

a = 2 * 5√3 = 10√3

c = 5√3 * √3 = 15

Answer is the second option

a = 10√3, b = 5√3, c = 15; d = 5

Final answer:

To find the amounts of sales that will meet Liz's goal, we can set up an inequality using her salary and commission. Liz needs to earn at least $2,700 this month, and with her salary and commission, we can create the inequality $2,500 + 0.06x ≥ $2,700. Solving this inequality gives us x ≥ $3,333.33. Therefore, the amounts of sales that will meet Liz's goal are any values of x that are greater than or equal to $3,333.33.

Explanation:

To find the amounts of sales that will meet Liz's goal of earning at least $2,700 this month, we can set up an inequality. Let's represent the amount of sales as 'x'.

Liz's salary is $2,500 per month, and her commission is 6% of her sales. So her total earnings for the month can be calculated as:

Total Earnings = Salary + Commission

Total Earnings = $2,500 + 0.06x (since the commission is 6% of sales)

We want Liz to earn at least $2,700, so we can set up the following inequality:

$2,500 + 0.06x ≥ $2,700

To solve this inequality, we can subtract $2,500 from both sides:

0.06x ≥ $2,700 - $2,500

0.06x ≥ $200

Finally, we divide both sides by 0.06 to isolate 'x', the amount of sales:

x ≥ $200 ÷ 0.06

x ≥ $3,333.33

Therefore, the amounts of sales that will meet Liz's goal are any values of 'x' that are greater than or equal to $3,333.33.

Answer:

yes they are

Step-by-step explanation:

Just test it

2x+y=4

(1,2)

1 is x

2 is y

2+2=4

y=3x-1

3-1=2

X=1 y=2................

ANSWER

The domain is an empty set

EXPLANATION

The given functions are:

[tex]f(x) = \sqrt{x - 3} [/tex]

and

[tex]g(x) =1 - {x}^{2}[/tex]

[tex](f \circ \: g)(x) = f(g(x))[/tex]

[tex](f \circ \: g)(x) = f(1 - {x}^{2} )[/tex]

[tex](f \circ \: g)(x) = \sqrt{(1 - {x}^{2} ) - 3} [/tex]

[tex](f \circ \: g)(x) = \sqrt{ - {x}^{2} - 2} [/tex]

This function is defined if and only if

[tex] - {x}^{2} - 2 \geqslant 0[/tex]

[tex] {x}^{2} + 2 \leqslant 0[/tex]

There is no real values that satisfies this inequality, because

[tex] {x}^{2} + 2[/tex]

is always positive.

The domain of this composite function is a null set.

Answer:

The domain of f, and thus the range of g, is restricted to values greater than or equal to 3.

If 1 minus x squared is greater than or equal to 3, then x squared must be less than –2.

Since x squared cannot be less than a negative number, the function is undefined for all values of x.

Step-by-step explanation:

Answer: 25

Assuming the dotted line touches the middle of the base of the triangle,

Using Pythagoras Theorem,

(30/2)^2 + (20)^2 = x^2

x^2 = (15)^2 + 400

x^2 = 625

x = √625 or -(√625)

x = 25 or -25

But since x needs to be a positive value,

x = 25

Answer:

x = 25 cm

Step-by-step explanation:

Given the triangle is isosceles ( 2 equal sides )

Then the line from the vertex is a perpendicular bisector of the base

We can use Pythagoras' identity on the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

where x is the hypotenuse and the legs are 15 and 20, so

x² = 15² + 20² = 225 + 400 = 625

Take the square root of both sides

x = [tex]\sqrt{625}[/tex] = 25