What two numbers multiply to -15 and add to 8

The rate is a fraction that compares the values of two quantities. The expected answers to the questions are given below:

1. Given that 3 cakes takes 6 hours to bake, then:

1 cake = [tex]\frac{6}{3}[/tex]

           = 2 hours

So that;

the number of cake to be baked in 12 hours = [tex]\frac{12 hours}{2 hours}[/tex]

                                    = 6

The number of cake to be baked in 12 hours is 6.

2. Ava's rate of pay = [tex]\frac{15}{2}[/tex]

                                 = $7.5 pr hour

Thus Ava's rate of pay is $7.5 per hour.

3. It took 5 hours to mow 6 yards. Thus;

To mow 1 yard = [tex]\frac{5}{6}[/tex] hours

The number of yards to be mowed in 20 hours = 20 ÷ [tex]\frac{5}{6}[/tex]

                                                = 20 x [tex]\frac{6}{5}[/tex]

                                                = 24

The number of yards to be mowed in 20 hours is 24.

4. Given that 10 bags of rice cost $12, then;

1 bag = [tex]\frac{12}{10}[/tex]

         = 1.2

1 bag = $1.2

The cost of a bag of rice is $1.2.

5. Rate = 30 miles per gallon

The number of gallons required = [tex]\frac{360}{30}[/tex]

                                        = 12

Thus 12 gallons would be required by the car to travel 360 miles.

6. Rate = [tex]\frac{75}{3}[/tex]

            = 25

Rate = 25 words per minute

The typing speed is 25 words per minute.

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Answer:

5.3 but the three is repeated

Step-by-step explanation:

Answer:

[tex]10 \frac{2}{1} \div 2 \frac{1}{4 } = \frac{48}{9} [/tex]

Penjelasan

[tex]10 \frac{2}{1} = \frac{12}{1} [/tex]

[tex]2 \frac{1}{4} = \frac{9}{4} [/tex]

[tex] \frac{12}{1} \div \frac{9}{4} = \frac{12}{1} \times \frac{4}{9} = \frac{48}{9} [/tex]

Then the answer is 48/9

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[tex] \green{ \boxed{ \boxed{ \sf{Lusi \: Adriana} } } } [/tex]

Answer:

A' = (8,-6)

B' = (9,11)

C' = (-3,-7)

Step-by-step explanation:

When reflecting a point over the y axis, multiply the point's x coordinate by -1. Do this for each point and you have your answer.

Answer:

Squaring

Step-by-step explanation:

Answer:

Slope intercept form is y = x - 6 (you don't write 1 in front of x in this case btw)

Slope = 1

Y-intercept = -6

Step-by-step explanation:

Slope intercept form looks like this y=mx+b, where m is slope and b is y-intercept.

To find slope, we will do y2 - y1 over x2 - x1.

This is how coordinates are written btw (x,y)

So we will do:

-2 - (-9) = -2 + 9 = 7

4 - (-3) = 4 + 3 = 7

Since 7/7 is the same as 7÷7, the slope is going to be 1. (It's also a positive slope btw)

Now, in order to find what the y-intercept is, you should use the point slope formula⤵⤵⤵:

[tex]y - y _{1} = m(x - x _{1})[/tex]

We'll use point (4,-2) for this:

y + 2 = 1 (x - 4)

Now we solve:

Distribute the 1 among everything inside the parenthesis to get y + 2 = x - 4, then subtract 2 on both sides to get y = x - 6.

Hope this helps :)

$60

Step-by-step explanation:

The unit rate can be determined by dividing $24 by 8 attendees to get

[tex]\dfrac{\$24}{8\:\text{attendees}} = \$3/\text{attendee}[/tex]

so when 20 people are attending the graduation picnic, his total cost is going to be

[tex]20\:\text{attendees}×\dfrac{\$3}{\text{attendee}} = \$60[/tex]

By converse of isosceles triangle theorem:

5x - 5 = 10x - 32

add 32 and -5x at both sides

27 = 5x (divide 5 both sides)

x = 5.4

5(5.4) - 5 = 27 - 5 = 22 inches

22 + 22 + 14 = 58 inches

Answer:

will i need a picture but its probably 10 count by 5s

Step-by-step explanation:

Answer:

you would need three wholes because each whole would represent a loaf of pumpkin bread

Answer:

250 raspberries

Step-by-step explanation:

So if 100 raspberries weigh 40 grams, each raspberry weighs 40/100 grams, which is 4/10 of a gram. so, you need to do 100/ 4/10=250

Answer:

Answer:

Step-by-step explanation:

Step-by-step explanation:

Answer:

Area = πr²

Circumference = 2πr

You can use pie as both 22/7 Or 3.14

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

9 quarts

Step-by-step explanation:

Answer:

don't know don't know don't know don't know don't know don't know don't know

Step-by-step explanation:

don't know don't know don't know don't know don't know don't know don't know don't

Answer:there is no graphs

Step-by-step explanation:

poop

Answer:

If a=2, b=3, c=4,

3a²bc = 3(2)²(3)(4)

          = 3×4×3×4

          = 12²

          = 144

Answer:

the answer is 144

Step-by-step explanation:

3a²bc

=3×2×2×3×4

=3×4×12

=12×12

=144

Answer:

179.6 (Estimated)

Step-by-step explanation:

5,924 ÷ 33 = 179.6 (Estimated)

Hoped this helped.

Answer:

5,924 ÷ 33 = 179.6 (in estimated form)

Step-by-step explanation:

5,924 divided by 33 equals 179.515151515.

Since 179.515151515 is not in estimated form, this can't be the correct answer.

Since we see that 51 is repeating, this allows us to determine whether we can round this up or not.. And we can!

179.515151515 → 179.6

Since 51 was repeating, we could round it up.

Therefore, 179.6 is your final answer.

Hope this helps! :D

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Answer:

y = -2x + 1

Step-by-step explanation:

Substitute  the slope and the given point into y = mx + b and solve for "b".

y = mx + b

7 = -2(-3) + b

7 = 6 + b

1 = b       the y-intercept is 1

The equation of the line is y = -2x + 1

Answer:

B

Step-by-step explanation:

Answer:

A. 26

Step-by-step explanation:

substitute the number in for the variables (letters).

[tex]m + 5n \\ \\ 1 + 5(5) \\ 1 + 25 \\ 26[/tex]

Answer:

sounds like you're doing a geometry proof. First ask yourself if you believe BC=DA... then ask yourself why do you believe or know it to be true. keep challenging yourself until you find the reason.

Answer:

27 units

Step-by-step explanation:

I don't think that diagonals count so I think it is 27 units.

Tell me if I'm wrong :)

If you plug 7 as x into:

(2x+45)

then you get

(2(7)+45)

(14+45)

(59)

It takes longer for one person to flip five batches of two pennies than one batch of ten pennies, mainly for a simple reason: although 5 x 2 is equal to 10, that is, it will take the same time to flip the coins, 5 batches is greater than 1 batch, which will take longer to manipulate each of these, increasing the total time.

Learn more about maths in https://brainly.com/question/21477139

Answer:

GCF is 6

Step-by-step explanation:

42 :

2 | 42

3 | 21

7 | 7

  | 1

; 42 = 2 x 3 x 7

96 :

2 | 48

2 | 24

2 | 12

2 | 6

3 | 3

  | 1

; 96 = 2 x 2 x 2 x 2 x 2 x 3

here, common factors are 2 x 3 = 6

Hence, the GCF of 42 and 96 is 6.

Answer:

  D, A, B

Step-by-step explanation:

The sign of the leading coefficient always tells you the end behavior on the right: positive = rises; negative = falls.

The degree of the polynomial tells you how the left- and right-end behaviors compare: even = they are the same; odd = they are opposites.

__

A) negative leading coefficient, even degree:

__

B) positive leading coefficient, odd degree:

__

C) negative leading coefficient, odd degree

Using the z-distribution and the formula for the margin of error, it is found that:

a) A sample size of 54 is needed.

b) A sample size of 752 is needed.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].

Item a:

The estimate is [tex]\pi = 0.213 - 0.195 = 0.018[/tex].

The sample size is n for which M = 0.03, hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}[/tex]

[tex]\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2[/tex]

[tex]n = 53.1[/tex]

Rounding up, a sample size of 54 is needed.

Item b:

No prior estimate, hence [tex]\pi = 0.05[/tex]

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}[/tex]

[tex]\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2[/tex]

[tex]n = 751.7[/tex]

Rounding up, a sample of 752 should be taken.

A similar problem is given at https://brainly.com/question/25694087

Answer:

Jill plz tell if i am right

Step-by-step explanation:

give me schoology website

The equation of the circular orbit and the parabolic path of the comet are

given by the center, diameter, vertex, and directrix.

Part A: The equation of the planet's orbit is; x² + y² = 50²

Part B: The equation of the comet's orbit is; [tex]\underline{x = -\dfrac{y^2}{280} + 60}[/tex]

Part C: The planet's orbit and the comet's path do not intersect.

Reasons:

Part A: The center of the orbit = The origin (0, 0)

The diameter of the orbit = 100

Therefore;

[tex]Radius \ of \ orbit = \dfrac{100}{2} = 50[/tex]

The radius of the planet's orbit, r = 50

The equation of a circle with center (h, k) is; (x - h)² + (y - k)² = r²

Therefore, the equation of the circle is (x - 0)² + (y - 0)² = r²

Which gives;

x² + y² = 50²

Part B: The directrix of the parabolic path is x = 70

The vertex = (60, 0)

Therefore, -p = 70

[tex]The \ equation \ is \ x = \dfrac{1}{4\cdot p} \cdot (y - k)^2 + h[/tex]

Which gives;

[tex]The \ equation \ is \ x = \dfrac{1}{4\times (-70)} \times (y - 0)^2 + 60 = -\dfrac{y^2}{280} + 60[/tex]

[tex]x = \mathbf{ -\dfrac{y^2}{280} + 60}[/tex]

The equation of the comet's path in standard form is [tex]\underline{x = -\dfrac{y^2}{280} + 60}[/tex]

Part C: At the point where the path intersect, we have;

[tex]x^2 = \left( -\dfrac{y^2}{280} + 60 \right)^2[/tex]

Therefore;

[tex]\mathbf{\left( -\dfrac{y^2}{280} + 60 \right)^2} = 50^2 - y^2[/tex]

Let y² = a, we get;

[tex]\left( -\dfrac{a}{280} + 60 \right)^2 = 50^2 -a[/tex]

a ≈ -2015.693 and a ≈ -42784.31

y ≈ √(-2015.693) or y ≈ √-42784.31) (imaginary numbers)

The planet's orbit does not intersect the path of the comet.

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