a system of equations is shown below 5x +2y =-15 2x - 2y =-6 what is the solution to the problem

Subtract 5 from both sides.

49 - 5 = 44

11q ≤ 44

Divide both sides by 11.

44/11 = 4

q ≤ 4

The answer is q ≤ 4

11q+5 ≤ 49

Subtracting 5 from both sides

11q ≤ 49 - 5

11q ≤ 44

Dividing both sides by 11

q ≤ 4

y=kx

10=k15

rearrange the eqn, make k as a subject

k=10/15

k=2/3

Therefore, the answers

y=2/3x

The direct proportion equation that relates x and y is y = 2x/3.

When two quantities are directly proportional it means that if one quantity goes up by a certain percentage, the other quantity goes up by the same percentage as well.

Given that, y is directly proportional to x, when y = 10 when x = 15,

That mean,

y ∝ x

We know the rule of directly proportion,

y = kx

Where k is the proportionality constant,

To find the value of k in the given case, put, x = 15 and y = 10

10 = 15k

k = 2/3

Therefore, we can write,

y = 2/3 x

Hence, the direct proportion equation that relates x and y is y = 2x/3.

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it is 3

4 time 3 plus 1.3 equals 13.3

To graph the equation y = -2x - 3, start by plotting the y-intercept at (0, -3) and then use the slope to find more points. Connect these points to form the line.

The given equation is y = -2x - 3. To graph this equation, we can start by plotting the y-intercept, which is -3. This means that the line intersects the y-axis at the point (0, -3). From there, we can use the slope, which is -2, to find more points on the line. For example, when x = 1, y = -2(1) - 3 = -5. So, we can plot another point at (1, -5). By connecting these points, we can draw a straight line that represents the equation y = -2x - 3.

6.45$ for 3 divide 15.05

the 2 equations that need to be solved are [3x+5] and x-1. If you need the answer to what x is you'd solve it by evening out the problems. so first add one to both so you'd have 3x+6=x then you'd take the 3x and subtract it from both sides making it 6=-2x. Then divide 6 by negative 2 making it -3=x.

Answer:i think the answer was 3=x but i'm not sure i really do think it is

Step-by-step explanation:

Answer:

Step-by-step explanation:

We want to scale by a factor of 1/10 so |a| = 1/10. This means that the graph is compressed vertically.

We do not reflect across the x axis so a = 1/10.

The new parabola is: y = 1/10 x^2

The new equation of the parabola will be  [tex]y=\frac{x^{2} }{10}[/tex].

The given parabola is:

[tex]y=x^{2}[/tex]

A parabola is a plane curve that is mirror-symmetrical and is approximately U-shaped.

When the parabola y=x² is scaled vertically by a factor of 1/10.

The new equation of parabola will be = [tex]y=\frac{x^{2} }{10}[/tex].

This means the graph of a new parabola will look similar to the previous parabola(symmetric about the origin) but outputs(function values) will be different.

Hence, the new equation of the parabola will be  [tex]y=\frac{x^{2} }{10}[/tex].

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The percentage chance of a solution, or essentially its mass/volume percent concentration, with 150 g active ingredient in a total of 1000 mL of solution is 15%.

The student is asking how to calculate the mass/volume percent concentration of a solution with a given amount of active ingredient and total solution volume. To find the percentage concentration, we use the mass of the active ingredient and the total volume of the solution. In this case, it is a 150 g active ingredient in 1000 mL of solution, assumming the solution's density is 1.0 g/mL which is typical for dilute aqueous solutions.

In order to calculate the mass/volume percent (m/v %), we use the formula:

% m/v = (Mass of solute in grams × 100) ÷ Volume of solution in mL

Plugging in the values we get:

% m/v = (150 g × 100) ÷ 1000 mL = 15%

Therefore, the solution has a mass/volume percent concentration of 15%.

Final answer:

The percentage chance of the solution with 150g of active ingredient in a total of 1000mL is 15%.

Explanation:

To calculate the percentage chance of a solution containing 150 g active ingredient in a total of 1000 mL of solution, we use the concept of mass/volume percentage. This concept is often used in chemistry to express the concentration of a solute in a solution.

Assuming the density of the solution is 1.0 g/mL, which is common for dilute aqueous solutions, the total mass of the solution will also be 1000 g.

The mass/volume percentage is hence calculated as:

% m/v = (mass of solute in grams) / (volume of solution in milliliters) x 100%

In this case, it's:

% m/v = (150 g)/(1000 mL) x 100% = 15%

So, the solution has a 15% mass/volume percentage of active ingredient.

Answer:

I think they both have the same amount walked, therefore they are both considered as they have walked the same distance

Step-by-step explanation:

Both walked the same distance.

Joelle walked 2/5 of the way from her house to school
Franco also walked 2/5 of the way from his house to school.

What is fraction?

Fraction is defined as the number of composition constitute the Whole.

The question is incomplete so we assume that Joelle and Franco are the neighbors. and school is equally distance from the both the houses

so if Joelle walked for 2/5 and Franco also walked for 2/5
implies both have walked the same distance.

Thus, Both walked the same distance.  

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Answer:

9

Step-by-step explanation:

9.05= 9.0=9

0 isn't greater than five, so you leave it as 9

Answer:

2.05 meters

Step-by-step explanation:

Superimpose a triangle when drawing out the situation.  The distance the ladder reaches up the tree is the side of the triangle opposite of the angle.  The distance the ladder is from the tree is side adjacent to the triangle.  We can use tangent to solve this.

Tan X = (opposite side)/(adjacent side)

Tan 64 = a/1

Tan 64 = a         (anything over 1 is just itself)

2.050303842 = a   (use tan on your calculator)

Answer:

Statements of Max Area as 100 sqft and area of less or equal to 100 sqft are true

Step-by-step explanation:

P=40

P=2L+2w

A=L•w

If L=10, w=10, A=100

If L=1, w=19, A=19

If L=0.5, w=19.5, A=9.75

If L=10.5, w=9.5, A=99.75

×Max area is NOT 10

✓Max Area is 100

×Minimum area is NOT 100

✓Area ≤100

Answer:

Part a) The ratio of the perimeters is [tex]3[/tex]

Part b) The ratio of the areas is [tex]9[/tex]

Step-by-step explanation:

Part A) What is the value of the ratio (new to original) of the perimeters?

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of the new triangle

y-----> the perimeter of the original triangle

[tex]z=\frac{x}{y}[/tex]

we have

[tex]z=3[/tex]

substitute

[tex]\frac{x}{y}=3[/tex]

Part B) What is the value of the ratio (new to original) of the areas?

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> the area of the new triangle

y-----> the area of the original triangle

[tex]z^{2}=\frac{x}{y}[/tex]

we have

[tex]z=3[/tex]

substitute

[tex]\frac{x}{y}=3^{2}[/tex]

[tex]\frac{x}{y}=9}[/tex]

Answer:

Part a) The ratio of the perimeters is 3

Part b) The ratio of the areas is 9

Answer:

Step-by-step explanation:

the relative frequency of elementary

school students who prefer watching

football to the total number of

elementary school students, as a

percentage rounded to the nearest

whole number

.[tex]\frac{(26)}{137} \\=0.1897\\=19%[/tex]

the relative frequency of middle

school students who prefer watching

basketball to the total number of

students, as a percentage rounded

to the nearest whole number

=[tex]\frac{50}{502} =0.0996\\\\=9.96%\\=10%[/tex]

the difference of the number of

students who like watching baseball

and the number of students who like

watching soccer

=102-59=43

the difference of the number of high

school students who like watching

soccer and the number of high

school students who like watching

tennis ..

=36-11=25

The right answer is y=(x+3)^2 -1

20 + -4=16, so it is 4

Answer:

36 meters.

Step-by-step explanation:

{Bird's final elevation}= 20m+16m

{Bird's final elevation}=36 m}

Answer:

V = 2,260.8

Step-by-step explanation:

To find the volume of a cylinder, you must use the equation: V = pi*r^2*h.

V = pi*12^2*5

V = pi*144*5

V = pi*720

V = 2,260.8

Answer:

Domain= how many boxes there are from each circle to the other, and the range is basically the height. In this case, Domain= 8, Range=2

ANSWER

[tex]x = 6[/tex]

EXPLANATION

The given equation is

[tex] \sqrt{3x + 7} = x - 1[/tex]

We square both sides of the equation to obtain,

[tex](\sqrt{3x + 7} ) ^{2} =( x - 1)^{2} [/tex]

This implies that,

[tex]3x + 7 = {x}^{2} - 2x + 1[/tex]

Rewrite in standard quadratic equation form.

[tex] {x}^{2} - 2x - 3x+ 1 - 7 = 0[/tex]

[tex]{x}^{2} -5x - 6= 0[/tex]

Factor

[tex](x - 6)(x + 1) = 0[/tex]

This implies that,

[tex]x = 6 \: x = - 1[/tex]

We check for extraneous solution by substituting each x-value into the original equation.

When x=-1,

[tex]\sqrt{3( - 1)+ 7} = - 1- 1[/tex]

[tex]\sqrt{4} = - 2[/tex]

2=-2....False

Hence x=-1 is an extraneous solution.

When x=6,

[tex]\sqrt{3( 6)+ 7} = 6- 1[/tex]

[tex]\sqrt{25} = 5[/tex]

5=5 is True.

Hence x=6 is the only solution.

Answer:

d) [tex]\cos(\theta)=-\frac{\sqrt{5}}{3}[/tex]

Step-by-step explanation:

If   [tex]\sin(\theta)=\frac{2}{3}[/tex] and [tex]\tan(\theta)\:<\:0[/tex], then

[tex]\theta[/tex] is in quadrant 2.

Recall that;

[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]

We substitute the given sine ratio to obtain;

[tex](\frac{2}{3})^2+\cos^2(\theta)=1[/tex]

[tex]\frac{4}{9}+\cos^2(\theta)=1[/tex]

[tex]\cos^2(\theta)=1-\frac{4}{9}[/tex]

[tex]\cos^2(\theta)=\frac{5}{9}[/tex]

[tex]\cos(\theta)=\pm \sqrt{\frac{5}{9}}[/tex]

[tex]\cos(\theta)=\pm \frac{\sqrt{5}}{3}[/tex]

We are in the second quadrant, therefore

[tex]\cos(\theta)=-\frac{\sqrt{5}}{3}[/tex]

Answer:

The proportion is true.

Step-by-step explanation:

We are given the following proportion and we are to determine whether it is a true proportion or not:

[tex] \frac { 15 } { 3 } = \frac { y } { 7 } [/tex]

Finding the value of y:

[tex]y = \frac{15}{3} \times 7[/tex]

[tex]y=35[/tex]

So now we have [tex] \frac { 15 } { 3 } = \frac { 35 } { 7 } [/tex]

Checking if it is a true proportion:

[tex] \frac { 15 / 3 } { 3 / 3 } = \frac { 5 } { 1 } [/tex]

[tex] \frac { 35 / 7 } { 7 / 7 } = \frac { 5 } { 1 } [/tex]

Since the simplified fractions are equivalent, therefore the proportion is true.

The given expression, 15/3 = y/7, is a true proportion. Solving for y, we find y = 35.

The given expression, 15/3 = y/7, is a proportion. In a proportion, the product of the means (15 and 7) is equal to the product of the extremes (3 and y). To check if the given proportion is true, we can cross-multiply and check if the products are equal.

Cross-multiplying, we have 15 * 7 = 3 * y. This simplifies to 105 = 3y. Solving for y, we divide both sides of the equation by 3, obtaining y = 35.

Therefore, the proportion is true, and y = 35.

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First, you need to choose a yellow marble. That is 6/15.

Next, you need to choose a blue marble. That is 5/14, because 1 yellow marble would have been "chosen" already.

So the probability altogether is 6/15 * 5/14 = 1/7, or about 14%.

Final answer:

The probability of randomly choosing a yellow marble, not replacing it, and then choosing a blue marble can be found by multiplying the probabilities of choosing a yellow marble and a blue marble from the jar.

Explanation:

To find the probability of randomly choosing a yellow marble, not replacing it, and then choosing a blue marble, we first need to find the total number of marbles and the number of favorable outcomes.

There are 5 blue marbles, 6 yellow marbles, and 4 green marbles in the jar, for a total of 15 marbles.

When we choose a yellow marble, there are 6 yellow marbles and 14 remaining marbles. When we choose a blue marble from the remaining marbles, there are 5 blue marbles and 13 remaining marbles.

So, the probability of choosing a yellow marble and then a blue marble is:

(6/15) * (5/14) = 1/7 or approximately 0.14

Answer:

The circle diameter is 2 yards because half of 2 is 1 which makes the radius 1 yard.

The diameter is 2

Hope this helps

Answer:

The y-axis is dependent on the variable

Step-by-step explanation:

Just remember the acronym DRY MIX

Depenedent-responding-y axis

Manipulated-independent-x axis

HOPE THIS HELPS!!!!

Simplifying

y = 0.25x + 2

Reorder the terms:

y = 2 + 0.25x

Solving

y = 2 + 0.25x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying

y = 2 + 0.25x

The answer is 2 rooms because you do 17.5 divided by 8.75 and you get 2

Answer:  First option is correct.

Step-by-step explanation:

Since we have given that

Number of rooms = 17.5

Time taken to clean = 8.75 hours

We need to find the number of rooms he clean per hour.

So, the number of rooms per hour is given by

[tex]\dfrac{17.5}{8.75}\\\\=2[/tex]

Hence, there are 2 rooms that he clean per hour.

Therefore, First option is correct.

They are similar because they have equal corresponding angles and proportional sides.

The two angles shown ( 134 and X) make a straight line.

A straight line equals 180 degrees.

To find X subtract 134 from 180.

X = 180 - 134

x = 46