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lisov135 [29]
3 years ago
15

Jacob and Sarah are saving money to go on a trip. They need at least $2000 in order to go. Jacob mows lawns and Sarah walks dogs

to raise money. Jacob charges $20 each time he mows a lawn and Sarah charges $10 each time she walks a dog.
Write an inequality to model the problem, with x representing the number of lawns mowed and y representing the number of dogs walked.
Mathematics
1 answer:
Paladinen [302]3 years ago
7 0

Answer:

20x+10y\ge 2000

Step-by-step explanation:

Let x represent the number of lawns Jacob mowed and y represent the number of dogs Sarah walked.

Jacob charges $20 each time he mows a lawn, then he earns $20x for x lawns mowed.

Sarah charges $10 each time she walks a dog, then she earns $10y for y dogs walked.

In total, they will earn $(20x + 10y). They need at least $2000 in order to go on a trip, then

20x+10y\ge 2000

Note that x\ge 0,\ y\ge 0.

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Nookie1986 [14]

Answer:

A  = 57°

B = 19°

C = 104°

Step-by-step explanation:

We have a triangle with 3 angles:

A, B, and C.

We know that:

"Angle A is 3 times larger than angle B"

We can write this as:

A = 3*B

"Angle C was 10° less than 6 times angle B"

This can be written as:

C = 6*B - 10°

And we also know that the sum of all interior angles of a triangle is 180°

Then we also have the equation:

A + B + C = 180°

So we have a system of 3 equations:

A = 3*B

C = 6*B - 10°

A + B + C = 180°

To solve this, the first step is to isolate one of the variables in one of the equations.

We can see that A is already isolated in the first one, so we can skip that step.

Now we need to replace A in the other equations, to get:

C = 6*B - 10°

(3*B) + B + C = 180°

Now we have a system of two equations.

Let's do the same procedure, we can see that C is isolated in the top equation, so we can just replace that in the other equation to get:

3*B + B + (6*B - 10°) = 180°

Now we can solve this for angle B

4*B + 6*B - 10° = 180°

10*B - 10° = 180°

10*B = 180° + 10° = 190°

B = 190°/10 = 19°

Now that we know the measure of angle B, we can input this in the equations:

A = 3*B

C = 6*B - 10°

To find the measures of the other two angles:

A = 3*19° = 57°

C = 6*19° - 10° = 104°

5 0
2 years ago
Equations: 1)18-7x=4 2)13=19+2x<br>3) 4t+7=62-t<br>4) 5(2t-10)=60-12t<br>5) 4t=48-2(7-t) ​
jarptica [38.1K]

Answer:

in the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

8 0
3 years ago
Find sin q if q is an angle in standard position and the point with coordinates (4, 3) lies on the terminal side of the angle.
jolli1 [7]
<span>Let’s say we have a starting point (0,0), the point (4,3) are distance apart at 90 degrees, hence the hypotenuse to those two distance will be 5. Therefore sin q = 4/5.</span>
4 0
3 years ago
The radiuses of two intersecting circles are 17 and 39. The distance between their centers is 44. Find the length of their commo
antoniya [11.8K]

Answer:

If x is the distance from centre fo the circle, with radius 25cm, to its intersection point with the common chord, x²+24²=25² =>x=7cm.

Distance from this intersecting point to the centre of the other circle=39–7=32cm

Ratio of the sides of the right triangle thus formed is 24:32=3:4. Since 3:4:5 is the basic pythagorean triplet, the radius of the other circle=5*24/3=40cm.

Aliter: radius of the other circle=√32²+24²= 40cm.

<h2><em>please</em><em> </em><em>mark</em><em> me</em><em> as</em><em> brainalist</em></h2>
3 0
2 years ago
Which number line represents the solution to the inequality –4w + 7 &lt; 75 ?
timama [110]

Answer:

w > − 17

Step-by-step explanation:

6 0
3 years ago
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