3 ½ – 2 ⅓

Give your answer as a improper fraction

Answer:

[tex]x=-1;\ y=8\\x=5;\ y=2[/tex]

Step-by-step explanation:

You can make both equations equal and solve for the variable x, as you can see below:

[tex]-x+7=0.5(x-3)^2[/tex]

Keep on mind that:

[tex](a-b)^2=a^2-2ab+b^2[/tex]

Then:

[tex]-x+7=0.5(x-3)^2\\-x+7=0.5(x^2-2(x)(3)+3^2)\\-x+7=0.5x^{2}-3x+4.5\\0=0.5x^2-2x-2.5[/tex]

Apply the quadratic formula:

[tex]x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}\\\\x=\frac{-(-2)+/-\sqrt{(-2)^2-4(0.5)(-2.5)}}{2(0.5)}\\x=-1\\x=5[/tex]

Substitute each value into one of the originl equations to find y, then:

[tex]y=-(-1)+7=8\\y=-5+7=2[/tex]

Answer:

The solutions are (-1,8) and (5,2).

Step-by-step explanation:

For this problem, we plug in the numbers for t and the appropriate letters for e to the equation e = 300 - 10t.

a) a = 300 - 10(-2)

simplify: a = 300 + 20

simplify: a = 320 ft.

But, this is not a viable point because when t≤0, she doesn't move anywhere, thus, should consistently be 300 ft.

b) b = 300 - 10(3.5)

simplify: b = 300 - 35

simplify: b = 265 ft.

c) c = 300 - 10(30)

simplify: c = 300 - 300

simplify: c = 0 ft.

Answer:

Step-by-step explanation:

one head is 1/2 tails twice is 1/4

multiply and get 1/8 but thats not the answer yet

a possibility could be htt or tht

so u muiltiply by number of possibilities of one head which 3!/2!

3/8

Answer:

[tex]\frac{3}{8}[/tex] is the probability of getting exactly one heads.

Step-by-step explanation:

Probability : It is defined as the extent to which an event is likely to occur. That means, it is measured by the ratio of the favorable outcomes to the total number of possible outcomes.

[tex]\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}[/tex]

We have : sample space = S =[HHH,HHT,HTH,HTT,THH,THT,TTH,TTT ]

Favorable outcomes of getting single head (H) = [HTT, THT, TTH]

Probability of getting single heads = P(H)

P(H) = [tex]\frac{3}{8}[/tex]

[tex]\frac{3}{8}[/tex] is the probability of getting exactly one heads.

Answer:

20.

Step-by-step explanation:

We found the factors and prime factorization of 80 and 100. The biggest common factor number is the GCF number. So the greatest common factor 80 and 100 is 20

The greatest common factor (GCF) of 80 and 100 is 20.

To find the greatest common factor (GCF) of 80 and 100, we can determine the common factors of both numbers and identify the largest one.

The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.

The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, and 100.

The common factors of 80 and 100 are: 1, 2, 4, 5, 10, 20.

The largest common factor among these is 20.

Therefore, the greatest common factor (GCF) of 80 and 100 is 20.

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Answer:

Option 3

Step-by-step explanation:

If you look it has 2 rectabgular shaped at the top and bottom of the net allowing it to make the rectangular sides on number 3. Good Luck! Hope this helps.

Answer:

Uhm I very late but I u can give them the crown lol also was that answer correct? I’m on it right now-

Step-by-step explanation:

your answer will be a=1 b=1 c= -4

Answer:

50 pairs

With the sum of 99, we will get 50 pairs whole numbers. Why? Therefore, if you're going to count all pairs of whole number, you will get 50 pairs of whole number with the sum of 99

Answer:

The tree grew 8 and 3/4 inches.

Step-by-step explanation:

To get this answer, first subtract the whole numbers.

21 - 12 = 9

Now do the same with the fractions.

1/8 - 3/8 = -2/8

Now add those two together.

9 - 2/8 = 8 6/8 = 8 3/4

Answer:

366 muffins

Step-by-step explanation:

28 x 12 = 336

5 x 6 = 30

336 + 30= 366 muffins

The total number of muffins the store ordered is, 366

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A store ordered 28 boxes holding 12 banana muffins each and five boxes holding 6 blueberry muffins each.

Hence, Number of banana muffins is,

⇒ 28 x 12 = 336

And, Number of blueberry muffins is,

⇒ 5 x 6 = 30

Thus, The total number of muffins the store ordered is,

336 + 30 = 366 muffins

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Answer:

4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Both dice have odd numbers 1, 3, 5. The chances of getting an odd number on each number is 3/6

The probability of getting odd numbers on both is:

3/6 ⋅ 3/6 = 9/36 = 1/4

Answer:

Its x/2 = -25 because if you transpose 2 to the other side, it'll become -25*2 which is equal to -50

Answer:

x/2 = -25

Step-by-step explanation:

A hundredth is 0.01

A hundred is 100.

You look at the digital to the right of the 1, in the example above. If that digit is 5 or greater, round up, other round down.

In both cases, you will look at the 0, therefore you would round down.

1800 to the nearest hundredth is 1800.00.

1800 to the nearest hundred is 1800.

The slower plane is flying at a speed of 380 mph and the faster plane is flying at a speed of 420 mph.

For your question, we can use the rates, times, and distances properties for the two planes.

Scene: Two planes are flying towards each other, so their speeds will add up. Their total combined distance covered will be 1680 miles (they cover this in 2 hours). As stated, the speed difference between the two planes is 40 mph.

Let's denote the slower plane's speed as x (in mph) then the speed of the faster plane will be x + 40 mph.

For each plane, we know that distance = speed * time, so over those 2 hours, the slower plane travels 2x miles and the faster one travels 2*(x + 40) miles. The total distance both planes traveled is 1680 miles, so we can set up the following equation:

2x (slower plane's distance) + 2(x + 40) (faster plane's distance) = 1680

Solving this equation for x, we get x = 380 mph. Therefore the slower plane speed is 380 mph and the faster plane speed is 380 mph + 40 mph = 420 mph.

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Answer:

Yes

Step-by-step explanation:

Multiply 4/5 so that they have a common denominator.

14/15 > 12/15 (4/5)

yes, 14/5 is larger than 4/5

reflection is when a shape is flip on the x or y axis and changes the original points to a new point

Answer:

See below  

Step-by-step explanation:

A reflection is a mirror flip of an object across a line (called a mirror line or a line of reflection).

In the diagram, Points A, B, and C in the object are the same distance from the mirror line as Points A', B', and C' in the mirror image.

Answer:    13

Step-by-step explanation:

you subtract 15 and 2 you will get 13

b. alternate angles are equal

hope this helps!!

b.) alternate angles are equal

If a transversal intersects two parallel lines, each pair of alternate angles are equal.

Given: Two parallel lines and a transversal.

Prove: Each pair of alternate angles are equal (same degrees).

Alternate interior angles are formed when a transversal passes through two lines. The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The theorem says that when the lines are parallel, that the alternate interior angles are equal

Try using a protractor to measure the angles to prove that they have the same angle degrees.

Answer:

m<A = 133

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

That means that m<A + m<C = 180.

m<A + m<C = 180

4x + 5 + x + 15 = 180

5x + 20 = 180

5x = 160

x = 32

m<A = 4x + 5

m<A = 4(32) + 5

m<A = 128 + 5

m<A = 133

Answer:

9

Step-by-step explanation:

If original rect was 5 square units and if new rect is 45 square units, then

scale factor  = 45/5 = 9

Answer:

The scale factor is 3

Step-by-step explanation:

The area of rectangle N is 5 units

The area of rectangle P is 45 units

Distance is times the scale factor

Area is times the scale factor squared

Volume is the scale factor cubed

Area of rectangle N * scale factor  squared = Area of rectangle P

5 * SF ^2 = 45

Divide each side by 5

5/5 * SF ^2 = 45/5

SF ^2 = 9

Now we need to take the square root of each side to find the scale factor

sqrt(SF ^2) = sqrt(9)

SF = 3

Answer: k= around -9.33

Step-by-step explanation:

-42-7k=14-k

Move the terms

-7k+k=14+42

collect the like terms

calculate the sum

-6k=56

divide both sides by -6

k=-28/3

alternative form

-9.33

Answer:  AC = 15, BD = 7.2

Step-by-step explanation:

Use Pythagorean Theorem to solve for AC:

AB² + BC² = AC²

12² +  9²  = AC²

144 + 81  = AC²

        225 = AC²

      √225 = √AC²

          15 = AC

To solve for BD, set up a proportion using the the small side and hypotenuse of ΔABC and ΔADB.

[tex]\dfrac{s}{h}:\dfrac{9}{15}=\dfrac{BD}{12}[/tex]

      [tex]\dfrac{9(12)}{15}=BD[/tex]

            7.2 = BD

Answer:

n - 13

Step-by-step explanation:

n-4-9

We can combine like terms.

n - (4+9)

n - 13

Answer:

A: 1,400

Step-by-step explanation:

$196 * 7 = 1365

rounded up to 1,400

Answer:

It's the 2nd one.

Step-by-step explanation:

-1 1/8, - 5/8, 0, 1/2, and 6.

Answer:

10+x/6

Step-by-step explanation:

The IQR of the given data set is 23, calculated by ordering the data, finding the first and third quartiles, and then subtracting the first quartile from the third quartile.

To find the Interquartile Range (IQR) of the given data set, you must first order the data from least to greatest, then find the median (Q2), the first quartile (Q1), and the third quartile (Q3). The IQR is the difference between Q3 and Q1.

The IQR of the data set is 23.