Happy Paws charges $19.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $10.00 plus $5.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours.

Answer:

6x+6x2+3

Step-by-step explanation:

6x2+5x+1+x+2

Combine 5x and x to get 6x.

6x2+6x+1+2

Add 1 and 2 to get 3.

6x2+6x+3

Talia has consumed 15 grams of sugar by eating 30 crackers. The right option is 15.

According to the information provided, one serving of crackers is equivalent to 10 crackers and contains 5 grams of sugar.

To calculate the amount of sugar consumed by Talia, who ate 30 crackers, we can set up a proportion based on the ratio of crackers to sugar:

10 crackers / 5 grams = 30 crackers / x grams.

Cross-multiplying, we have:

10 \(\times\) \(x\) = 5 \(\times\) 30.

Simplifying the equation:

10x = 150.

Dividing both sides by 10:

x = 15.

Therefore, Talia consumed 15 grams of sugar by eating 30 crackers.

Among the given answer choices, the correct option is 15 grams.

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Answer:

To find the x-intercept, substitute in 00 for yy and solve for x. To find the y-intercept, substitute in 00 for x and solve for y.

x-intercept(s): (−6,0)(-6,0)

y-intercept(s): (0,21)

Answer:

x-intercept(s):  (-6,0)

y-intercept(s):  (0,21)

Step-by-step explanation:

This is the answer because:

1) To find the x-intercept, substitute in  0  for  y  and solve for  x :

7x - 2(0) = -42

7x = -42

x = -6

2) To find the y-intercept, substitute in  0  for  x  and solve for  y:

7(0) - 2y = -42

-2y = -42

-2(21) = -42

Therefore, the answer is:

x-intercept(s):  (-6,0)

y-intercept(s):  (0,21)

Hope this helps! :D

Answer:

61

Step-by-step explanation:

first it goes up by 10 then 5 now 10

Answer:

61

Step-by-step explanation:

The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:

A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.

A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.

A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.

A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.

B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.

B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.

Finally, performing the remaining operations:

(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.

(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.

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The length of the hypotenuse is 12.52 yards.

Given that a right triangle, we need to find the value of the hypotenuse x,

Trigonometric ratios can be calculated by taking the ratio of any two sides of the right-angled triangle.

We can evaluate the third side using the Pythagoras theorem, given the measure of the other two sides. We can use the abbreviated form of trigonometric ratios to compare the length of any two sides with the angle in the base.

Let us consider a right-angled triangle with one of its acute angles to be x. Then the cosine formula is, cos x = (adjacent side) / (hypotenuse), where "adjacent side" is the side adjacent to the angle x, and "hypotenuse" is the longest side (the side opposite to the right angle) of the triangle.

We know that, the cosine of the angle is the ratio of the base to the hypotenuse,

So,

Cos 37° = 10 / x

x = 10 / Cos 37°

x = 12.52

Hence the length of the hypotenuse is 12.52 yards.

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The length of the radius of the given circle whose central angle has been given would be = 7cm.

To calculate the radius of the given circle, the formula that should be used will be given below as follows:

Length of arc = 2πr×∅/360

Length of arc = 14cm

∅ = 115°

14 = 2×3.14×r ×115/360

make R the subject of formula;

r = 14/2.006

= 6.9

= 7cm

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The slope of line gh is \(\frac{-9}{7}\) .

We have given two points G(-2,6) and H(5,-3) .

Putting \(x_1=-2,y_1=6\) and \(x_2=-5 ,y_2=-3\) in equation (1) , we get

          \(m=\frac{-3-6}{5-(-2)} \\\\m=\frac{-9}{5+2}\\\\m=\frac{-9}{7} \\\)

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Answer:

3 = s - 2

s = 3 - 2

s = 1

what was hard lol

Tony Ring will have approximately $60,000.68 in 4 years from now if he deposits $51,210 today with a 4% interest rate compounded semiannually.

The formula accrued amount in a compounded interest is expressed as;

\(A = P(1 + \frac{r}{n})^{(n*t)}\)

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given that:

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04

Plug the given values into the above formula:
\(A = P(1 + \frac{r}{n})^{(n*t)} \\\\A = 51,210(1 + \frac{0.04}{2})^{(2*4)} \\\\A = 51,210(1 + 0.02)^{(8)} \\\\A = 60,000.68\)

Therefore, the accrued amount after 4 years is $60,000.68.

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Answer:

0.1875

Step-by-step explanation:

You would divide 3 by 16 and get 0.1875.

Since then, it has spread to other rivers, colonized them, clogged the water intake pipes, and competed with local species for food. Zebra mussels are the method for removing a lot of plankton from the water column.

Here, we have,

The Caspian Sea in Asia is where zebra mussels, or Driessen polymorph, are found naturally.

They arrived in the Great Lakes region in the late 1980s via ballast water from a transatlantic ship.

The Great Lakes, Mississippi, Tennessee, Hudson, and Ohio river basins were all overrun by these mussels within ten years.

The lake's brilliant blue hue is a result of Tahoe's clean air and water.

There is more to this phenomenon than just the fact that Lake Tahoe's surface reflects the sky, which contributes to its blue color.

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complete question:

As you respond to Part A, Part B, and Part C, follow the directions below.

​

​Address all of the instructions in each prompt.

​Use evidence from the information provided and your own knowledge of science to support your responses.

Part A

​

Describe one way scientists near Lake Tahoe can detect if the lake has been impacted by zebra mussels.

Multiply \(Q\cdot P\), quantity and price,

\(1.2\cdot5.95=7.14\).

Hope this helps :)

Answer:

$7.14

Step-by-step explanation:

Price of 1 pound cheese=$5.95

Price of 1.2 pounds cheese=$5.95 * 1.2

Price of 1.2 pounds cheese=$7.14

Note:if you need to ask any question please let me know.

Answer:

12

Step-by-step explanation:

If she has 12 cups of yogurt and each cup only uses 1 cup then she can make 12 smoothies

Answer:

12

Step-by-step explanation:

Answer:

y = - 5x - 1 and y = \(\frac{1}{3}\) x + 8

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

14

y = - 5x + 4 ← is in slope- intercept form

with slope m = - 5

• Parallel lines have equal slopes , then

y = - 5x + c ← is the partial equation

to find c substitute P (- 1, 4 ) into the partial equation

4 = - 5(- 1) + c = 5 + c ( subtract 5 from both sides )

- 1 = c

y = - 5x - 1 ← equation of parallel line

15

y + 3x = 13 ( subtract 3x from both sides )

y = - 3x + 13 ← in slope- intercept form

with slope m = - 3

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-3}\) = \(\frac{1}{3}\) , then

y = \(\frac{1}{3}\) x + c ← is the partial equation

to find c substitute P (6, 10 ) into the partial equation

10 = \(\frac{1}{3}\) (6) + c = 2 + c ( subtract 2 from both sides )

8 = c

y = \(\frac{1}{3}\) x + 8 ← equation of perpendicular line

Answer:

Answer: .0039

Step-by-step explanation:

Answer:

y=3x+10

Step-by-step explanation:

the y-intercept must be 10 meaning that you have to make the 4 a 10

Hello!

Parallel lines have the same slope.

Since the slope of the given line is 3, then the slope of the line parallel to this line is also 3.

First, let's write the equation in Point-Slope form:

y-y1=m(x-x1)

y-10=3(x-0)

y-10=3x

y=3x+10 (Answer)

Hope everything is clear.

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:-)

Answer:

it rises 2 up and runs 6 units left

Step-by-step explanation:

Hope this helps

The graph shows that the slope of a line is 2/6 that is the ratio of its rise to its run

The slope of a line determines its steepness

One of the formulas for calculating the slope of a line is expressed as:

\(Slope=\frac{rise}{run}\)

This shows that the slope of a line is 2/6 that is the ratio of its rise to its run

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Answer:

\(\Large \boxed{\frac{42}{23}}\)

Step-by-step explanation:

\(\displaystyle \frac{21}{40} \div \frac{23}{80}\)

Performing reciprocal of the second fraction.

\(\Rightarrow \displaystyle \frac{21}{40} \cdot \frac{80}{23}\)

Multiplying both fractions.

\(\Rightarrow \displaystyle \frac{1680}{920}\)

Simplifying the fraction.

\(\Rightarrow \displaystyle \frac{42(40)}{23(40)}\)

\(\Rightarrow \displaystyle \frac{42}{23}\)

It’s true for all right triangles.

The input (x) that satisfies the condition of being multiplied by 6 and then Subtracted by 80 to give the same value as the output is 16.

The input as "x." According to the given information, the input (x) is multiplied by 6 and then subtracted by 80, resulting in the output. In mathematical terms, this can be expressed as:

Output = (6 * x) - 80

The problem states that the input and output are the same. Therefore, we can set up the equation:

x = (6 * x) - 80

To solve for x, we'll rearrange the equation and isolate the variable:

x - 6 * x = -80

Combine like terms:

-5 * x = -80

Divide both sides by -5:

x = (-80) / (-5)

Simplifying the division:

x = 16

Hence, the input (x) that satisfies the condition of being multiplied by 6 and then subtracted by 80 to give the same value as the output is 16.

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Answer:

  $84.00

Step-by-step explanation:

You want the original price of a tennis racquet if its final price after a 25% discount and 7% tax is $67.41.

Tax add 7% to the price, so multiplies it by (1 +7%) = 1.07

The 25% discount subtracts 25% of the original price, so multiplies it by ...

  (1 -25%) = 1 -0.25 = 0.75

Then the final price is computed as ...

  final price = (original price)·(0.75)·(1.07)

Dividing by the coefficients of the original price, we find it to be ...

  original price = (final price)/(0.75 · 1.07) = $64.71/(0.75·1.07) = $84.00

The original price of the racquet is $84.00.