Each serving of a cereal is 80 calories.which expression can be used to find the number of calories In 3 servings

Answer:

slope == -1

Step-by-step explanation:

y-2 = -(x+1)

; y-2 = -x-1 expanding the bracket

; y = -x-1+2

; y = 1-x

hence slope equals -1

The area of the right angle triangle is 1 square unit and the figure is a right angle triangle after plotting the points on a cartesian plane.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have three point A(-1,1) B(-3,2) and C (-1,2) in a cartesian plan.

After plotting the points on the cartesian plane.

We will get a right-angle triangle,

The area of the right angle triangle = (1/2)height×base

Base length from the graph = 1 units

The height of the triangle = 2 units

= (1/2)(2)(1)

= 1 square units

Thus, the area of the right angle triangle is 1 square unit and the figure is a right angle triangle after plotting the points on a cartesian plane.

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Answer:

50 – (3x + 4y + 25)

Step-by-step explanation:

To see how much change she is gonna receive we need to find how much she spent on the items and add them all up:

The calculator was $25

The price of pens and notebooks are unknown so they are represented with x and y respectively.

With given information we can write the following equation to see the change she will receive:

50 – (3x + 4y + 25)

Answer:

leaning at 3 degrees off of normal (to the nearest whole degree)

Step-by-step explanation:

To visualize, let's assume the tower is leaning to the right, (as viewed by us).

If the rope is dropped from the top to the ground, the tower, the rope and the ground (between the rope and the tower) form a right triangle.

The height and base of the triangle are given

Often we're looking for the angle near the ground, but here, we're looking for the angle between the rope and the tower because the angle is congruent to the angle that the tower forms with it's original vertical position (alternate interior angles).  If the tower was standing straight up and hadn't been leaning at all, we wouldn't say that the tower was leaning 90°... we would say it was leaning 0°.  Whereas if the tower fell over and was laying flat on the ground, we would say it was leaning at 90°.  So, we're not measuring the angle between the tower and the ground, but rather the angle between the tower where it should be, and where it is... which is the same angle as the rope forms with the tower.

Recall that [tex]tan(\theta)=\dfrac {opp}{hyp}[/tex]

Since we know the two legs of the right triangle, one can setup a tangent relationship with the two legs, but remember that the "opposite" side is going to be the ground, and the "adjacent side" will be the rope.

[tex]tan(\theta)=\dfrac {ground}{rope}\\tan(\theta)=\dfrac {3ft}{57ft}\\tan(\theta)=\frac {3}{57}\\\theta=tan^{-1}(\frac {3}{57})\\\theta=3.012787504^o\\\theta \approx 3^o\\[/tex]

The scenario can be described using a piecewise function like:

f(x) = 1/x                  if  x < c.

f(x) = x                    if   x = c

f(x) = 1/(x + 73)       if x > c.

Remember that the limit only exists if the limit from left and the limit from the right give the same value.

Then, we can just define a piecewise function of the form:

f(x) = 1/x                  if  x < c.

f(x) = x                    if   x = c

f(x) = 1/(x + 73)       if x > c.

Clearly, this is not a continuous function.

Notice that:

[tex]f(c) = c.\\\\ \lim_{x \to c^{-}} f(x) = 1/c\\\\ \lim_{x \to c^{+}} f(x) = 1/(c + 73)[/tex]

So the limits from left and right are different, then:

[tex]\lim_{x \to c^{}} f(x)[/tex]

Does not exist.

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Step-by-step explanation:

the answer is 38/24 so the final answer is 19/12

Part 1

[tex]D \cup E[/tex] denotes the union of the two sets (in other words, all the elements in both sets).

This means it is [tex](-\infty, 4) \cup [7, \infty)[/tex]

Part 2

[tex]D \cap E[/tex] denotes the elements shared between both sets.

This means the answer is [tex](4, 7][/tex]

Answer:

1650 Cubic Centimeters

Step-by-step explanation:

To get the volume of the cereal boxes, you must multiply their 3 dimensions together.

Box A:

25×20=500

500×9=4500

Box B:

25×19=475

475×6=2850

Now, to find the difference of these volumes, you want to subtract the smaller volume from the larger volume.

4500-2850=1650

The answer is 1650 cubic centimeters.

The adjusted cash Balance is $8060 .

The amount of money in a person's account at any given time is the Bank Balance of that person's account.

Unadjusted bank balance       6000

Difference in the electricity bill    -180

Add: Deposit in transit               2510

Less: Outstanding Checks         -270

Adjusted cash balance                8060

So answer is a) $8060

Therefore the adjusted cash Balance is $8060 .

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Answer:

c

Step-by-step explanation:

dvdywuwhfuwi eurue wuid

The attached diagram represents the Venn diagram of the sets

The sets are given as:

From the above representation, we have the following highlights:

Using the above highlights, we can now draw the Venn diagram

See attachment for the Venn diagram

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Answer:

C

Step-by-step explanation:

 0 ≤ h ≤ 40, h ∈ R

Hope this helps :)

Answer:

12

Step-by-step explanation:

1.5 is 1 1/2 in decimal form

1.5×8=12

Answer:D

Step-by-step explanation:

Answer:

x=−3 and y=26

Step-by-step explanation:

Let's solve your system by substitution.

3x+y=17;x+2y=49

Step: Solve 3x+y=17 for y:

3x+y=17

3x+y+−3x=17+−3x(Add -3x to both sides)

y=−3x+17

Step: Substitute−3x+17 for y in x+2y=49:

x+2y=49

x+2(−3x+17)=49

−5x+34=49(Simplify both sides of the equation)

−5x+34+−34=49+−34(Add -34 to both sides)

−5x=15

-5x/5  = 15/-5 (Divide both sides by -5)

x=−3

Step: Substitute −3 for x in y=−3x+17:

y=−3x+17

y=(−3)(−3)+17

y=26(Simplify both sides of the equation)

Answer:

x=−3 and y=26

Answer:

See below

Step-by-step explanation:

r/6 <-6      multiply both sides by 6 to get

r < - 36

  or    4r+2 > 18     subtract 2 from both sides of the equation

            4r > 16        divide both sides by 4

             r > 4

Step-by-step explanation:

[tex] \frac{r}{6} < - 6 \: \: \: \: \: \: \: \: \: \: ... 1[/tex]

[tex]4r + 2 > 18 \: \: \: \: \: \: \: \: \: \: ...2[/tex]

Solving for inequality 1:

Multiplying both sides by 6:

Hence the solution is r < -36

Solving for inequality 2:

Subtract 2 from both sides:

Divide both sides by 4:

Hence the answer is r > 4.

Answer:

10(x + 30)

Step-by-step explanation:

10x + 300

Both terms have 10 in common, so you can factor out 10.

10x + 300 = 10(x + 30)

Answer: 20

Step-by-step explanation:

Let [tex]f(y)=x[/tex]

[tex]x=\frac{1}{2}y+10\\\\x-10=\frac{1}{2}y\\\\y=h(x)=2x-\boxed{20}[/tex]

Answer:

1 1/6 = 1
5/9 = 45/99

Step-by-step explanation:

When rounding, make sure that anything that's above half will be rounded up if anything is below half it will be rounded down.
e.g. Round to the nearest half or whole

1. 5/9
Answer: 45/99
Why: 5/9 is 4 units to 9 while 5/9 is half of a unit closer to 45/99

2. 8/10
Answer: 10/10 or 1
Why: 8/10 is 2 units from 10 while 8/10 is 3 units from 5

Hopefully this helped!

Answer:

$331.02

Step-by-step explanation:

compound interest formula

A = P ( 1 + r/n)^nt

P = principal amount

r = rate decimal

n = number of times interest is compounded

t = time

A = 100 * (1 + .06/12)^(12*20)

A = 331.02

The length of the side c, to the nearest integer is 12.

Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.

u² = s² + t² - 2(s)(t)·cos U

In ΔABC, m < C = 50* , a = 14 and b = 15.

We can solve for the length of side a to the nearest whole number using the Laws of Cosines

c² = b² + a²- 2ba CosC

Solving for the value of a, we have:

c² = 15² + 14²- 2(15)(14)cos50°

c² = 225 + 196 - 269.97

c² = 151.029

c = 12.28

Hence, The length of the side c, to the nearest integer is 12.

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First, lets figure out which ones add up to 14

5+9=14

6+8=14

8+6=14

9+5=14

They all add up to 14.

Next, reverse the digits and see if it is 36 less than the original number

95 is not 36 less than 59

86 is not 36 less than 68

68 is only 18 less than 86

59 is 36 less than 95

So, the answer would be 95.

The probability that s+d > 3 and sd > 3 is 0.03.

Plot the inequalities

The region -5 ≤ s,d ≤ 5 is the square shaded in grey.

The region s + d > 3 is the region Q shaded to the right of the straight line.

The region sd > 3 is the region R shaded to the right of the curve d = 3/s.

Find the intersection of the three regions

From the figure, the region satisfying all the above three inequalities is the region to the left of the curve d = 3/s, bounded by the square region, i.e. the region R.

Probability of region R

The required probability is the Geometric probability of the intersection region R. It is calculated as

P(R) = ar(region R) / ar(square region P).

Calculate the areas of the regions

ar(region R) = area of the rectangle to the right in the first quadrant formed by dropping a vertical from point F - area under the curve d = 3/s in the first quadrant

[tex]\[\Rightarrow \;\; \mathrm{ar(\mathbf{R}) =} \int_{3/5}^5\frac{3}{s}ds = 25-3-3\ln\frac{25}{3} = 15.64.\][/tex]

ar(region P) = 25 × 25 = 625.

Calculate P(R)

The probability of the region R, P(R) = 15.64 / 625 = 0.025.

Rounding it to the hundredth place of decimal, P(R) = 0.03.

The probability that s+d >3 and sd>3, where -5 < s,d < 5, is 0.03.

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Disclaimer: The question was incomplete. Please find the full content below.

What is the probability that s + d > 3 and sd > 3, where -5 ≤ s,d ≤5? Write your answer as a decimal rounded to the hundredth place.

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Answer:

93.18 feet

Step-by-step explanation:

Length of backyard pool = 31.74 feet

Height of backyard pool = 14.85 feet

To find = Use the formula for the perimeter of a rectangular pool.

= 2 ( length + height )

Length of fencing bought by Mirele:

2 ( 31.74 + 14.85 ) = 2 ( 46.59 ) = 93.18 feet

Answer:

X = 11

Step-by-step explanation:

Simplifying

X + 24 = 35

Reorder the terms:

24 + X = 35

Solving

24 + X = 35

Solving for variable 'X'.

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

Add '-24' to each side of the equation.

24 + -24 + X = 35 + -24

Combine like terms: 24 + -24 = 0

0 + X = 35 + -24

X = 35 + -24

Combine like terms: 35 + -24 = 11

X = 11

Simplifying

X = 11

Answer:

x+24=35

then collect like terms together, which means "x" terms in one side and numbers in one side:

x=35-(+24)

we need to change the signs when ever we change its place, like changing from one side to another

x=35-24

x=11. ✓

Answer:

(x^2+5x)

Step-by-step explanation: