Keith bought 6 new baseball trading cards to add to his collection. The next
day his dog ate half of his collection. There are now only 25 cards left.
How many cards did Keith start with ?

Answer:

If we stipulate that a baby is premature if the length of pregnancy is in the lowest 4%, find the length that separates premature babies from those who are not premature. The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days.

hope it helps :)

please mark it the brainliest!

Answer:

about $1.90

Step-by-step explanation:

$320 per week.

There are 168 hours in a week.

$320 divided by 168 hours = about $1.90 an hour

Check: $1.90 x 168= $319.2 (rounded to $320)

Answer:

6x+2y just add them lol

Step-by-step explanation:

Answer:

8x + 3y - 2x - y

8x - 2x + 3y -y

6x - 3y

is your answer

brain list plzzz

Answer:

875 ft³

Step-by-step explanation:

First, let's break it down into three different sections.

Starting with the cube on the bottom and then the rest of the Rectangular Prism.

The formula for Volume Cube  V = a³

The formula for Volume of Rectangular Prism:  V = lwh

From the picture we can see that the bottom is a cube with a lenght of 5 ft thus V = 5³ = 125 ft³

The second Rectangular Prism in the middle has a lenght of 20 ft (15 + 5), a width of 5 ft and a height of 5 ft. Use the formula above 20x5x5 = 500 ft³

The top  Rectangular Prism has a lenght & with of 5 ft and a height of 10 ft.

So again 5x5x10 = 250 ft³

Now all we need is to add them all together:

125 + 500 + 250 = 875 ft³

Answer:

e

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

After substituting -2 for m and 5 for n, the original expression becomes:

|(-2)^2 - 7| + (5)^2, or

|4 - 7| + 25  or

|-3| + 25 = 28

Answer:

t-5 = Ned's age

Step-by-step explanation:

t = teds age

Ted is 5 years older than Ned

t = Ned +5

Subtract 5 from each side

t-5 = Ned

t-5 = Ned's age

ted = 5 tears older than Ned.

ted = t years.

→ t = Ned's age + 5

→ Ned's age + 5 = t

→ Ned's age = t - 5

So,

Then, t - 5 = Ned's age.

Answer:

37.68cm (i used 3.14 for pi)

Answer:

17⋅24+32-13=427

Step-by-step explanation:

17⋅24=408   408+32=440   440-13=427

Answer:

1,000 because it's in the thousands place

Step-by-step explanation:

Answer:

Step-by-step explanation:

From Thales' theorem:

                                        [tex]\dfrac y7\ =\ \dfrac45\\\\y=\dfrac45\cdot7\\\\y = \dfrac{28}5\\\\y = 5.6[/tex]

Answer:

The innings pitched last season is 225.

Step-by-step explanation:

Given that,

Earned run average = 2.80

Allowed earned run = 70

The given equation is

[tex]E=\dfrac{9R}{I}[/tex]

We need to calculate the innings pitched last season

Using given equation

[tex]E=\dfrac{9R}{I}[/tex]

[tex]I=\dfrac{9R}{E}[/tex]

Where, E = earned run

R = allowed earned run

I = innings pitch

Put the value into the formula

[tex]I=\dfrac{9\times70}{2.80}[/tex]

[tex]I=225[/tex]

Hence, The innings pitched last season is 225.

Answer:

401 MILES

Step-by-step explanation:

miles from A to B:

64 * 5.5 = 352 miles

miles from A to C:

352 + 49 = 401 miles

Answer:

Why is looking at cash flow an important step in a good financial plan ? At the most fundamental level, a company's ability to create value for shareholders is determined by its ability to generate positive cash flows, or more specifically, maximize long-term free cash flow

Step-by-step explanation:

Answer:

Well,

Step-by-step explanation:

First, we need it so we don't get in low finical areas and owe the government tons of money. We also need it for our houses and if you start checking your cash flow and you see its low and you want to make it higher than that helps too! But, its very good for your bank account and helps you grow ideas to your financial plan. Hopes this helps!

Answer:

Area = 154 m²

Step-by-step explanation:

i pressume base = 14 m

height = 22 m

Area of a triangle = 1/2 * base * height

Area = 1/2 * 14 * 22

Area = 154 m²

The area of the triangle is given by the equation A = 154 m²

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the area of the triangle be represented as A

Now , the value of A is

Let the height of the triangle be h

The value of h = 22 m

Let the base of the triangle be b

The value of b = 14 m

Now , area of the triangle = ( 1/2 ) x Length x Base

Substituting the values in the equation , we get

Area of the triangle A = ( 1/2 ) x 22 x 14

Area of the triangle A = 154 m²

Therefore , the value of A is  154 m²

Hence , the area of the triangle is  154 m²

To learn more about triangle click :

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Answer:

64

Step-by-step explanation:

Hello, we can write this two digit number 'ab', a and b being positive integer between 0 and 9.

For instance , 54, a = 5 and b =4

The number can be written 10*a+b (54=5*10+4, for instance)

The sum of a two digit number is 10.

a + b = 10

The value of the number is 16 times the units digit.

10a + b = 16b <=> 10a = 16b - b = 15b

[tex]<=> a = \dfrac{15}{10}b=\dfrac{3}{2}b=\dfrac{3}{2}(10-a)=15-\dfrac{3}{2}a\\\\<=> \dfrac{2+3}{2}a = 15\\\\<=> 5a=30 <=> a = 6[/tex]

and then, b = 10 - 6 = 4.

So the solution is 64.

Thank you

Answer:

Step-by-step explanation:

-2(36) - 18 - 8

-72 - 26

-98 is the solution

Answer:

[tex]sin\theta =\pm\dfrac{4}{5}\\tan\theta =\pm\dfrac{3}{4}[/tex]

Step-by-step explanation:

Kindly refer to the attached image of a right angled [tex]\triangle ABC[/tex].

Let [tex]\angle C = \theta[/tex]

Sides BC = a

AB = c and

AC = b respectively.

To prove:

[tex]sin^2\theta+cos^2\theta =1[/tex]

Proof:

Using Sine and Cosine values:

[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin\theta =\dfrac{AB}{AC} = \dfrac{c}{b }[/tex]

[tex]cos\theta =\dfrac{Base}{Hypotenuse}\\\Rightarrow cos\theta =\dfrac{BC}{AC} = \dfrac{a}{b}[/tex]

As per Pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow b^{2} = a^{2} + c^{2} .......... (1)[/tex]

Considering the LHS of [tex]sin^2\theta+cos^2\theta =1[/tex]:

[tex](\frac{c}{b})^2+(\frac{a}{b})^2\\\Rightarrow \frac{c^2+a^2}{b^2}[/tex]

Now, using equation (1):

[tex]\Rightarrow \dfrac{b^2}{b^2} = 1 = RHS[/tex]

Hence, proved that : [tex]sin^2\theta+cos^2\theta =1[/tex]

Now, we are given that:

[tex]cos\theta =\frac{4}{5}[/tex]

To find, sine and cosine values of the angle i.e. [tex]sin\theta = ?[/tex] and [tex]tan\theta = ?[/tex]

Using [tex]sin^2\theta+cos^2\theta =1[/tex]:

[tex]sin^2\theta+(\dfrac{4}{5})^2 =1\\\Rightarrow sin^2\theta = \dfrac{9}{25}\\\Rightarrow sin\theta = \pm \dfrac{3}{5}[/tex]

We know that:

[tex]tan\theta =\dfrac{sin\theta}{cos\theta}\\\Rightarrow tan\theta =\pm \dfrac{\dfrac{3}{5}}{\dfrac{4}{5}}\\\Rightarrow \bold{tan\theta =\pm \dfrac{3}{4}}[/tex]

Answer:

A) 435,050/6,215,000= 0.07= 7%

B) 4,972,000/6,215,000= 0.8= 80%

C) 6,215,000-(4,972,000+435,050)= 807,950

807,950/6,215,000=0.13=13%

Answer:  see proof below

Step-by-step explanation:

Use the following Half-Angle Identities:    tan (A/2) = (sinA)/(1 + cosA)

                                                                     cot (A/2) = (sinA)/(1 - cosA)

Use the Pythagorean Identity: cos²A + sin²B = 1

Use Unit Circle to evaluate: cos 45° = sin 45° = [tex]\frac{\sqrt2}{2}[/tex]

Proof LHS → RHS

Given:                       [tex]cot\ (22\frac{1}{2})^o-tan\ (22\frac{1}{2})^o[/tex]

Rewrite Fraction:     [tex]cot\ (\frac{45}{2})^o-tan\ (\frac{45}{2})^o[/tex]

Half-Angle Identity:   [tex]\dfrac{sin(45)^o}{1-cos(45)^o}-\dfrac{sin(45)^o}{1+cos(45)^o}[/tex]

Substitute:                  [tex]\dfrac{\frac{\sqrt2}{2}}{1-\frac{\sqrt2}{2}}-\dfrac{\frac{\sqrt2}{2}}{1+\frac{\sqrt2}{2}}[/tex]

Simplify:                      [tex]\dfrac{\frac{\sqrt2}{2}}{\frac{2-\sqrt2}{2}}-\dfrac{\frac{\sqrt2}{2}}{\frac{2+\sqrt2}{2}}[/tex]

                               [tex]=\dfrac{\sqrt2}{2-\sqrt2}-\dfrac{\sqrt2}{2+\sqrt2}[/tex]

                               [tex]=\dfrac{\sqrt2}{2-\sqrt2}\bigg(\dfrac{2+\sqrt2}{2+\sqrt2}\bigg)-\dfrac{\sqrt2}{2+\sqrt2}\bigg(\dfrac{2-\sqrt2}{2-\sqrt2}\bigg)[/tex]

                               [tex]=\dfrac{2\sqrt2+2}{4-2}-\dfrac{2\sqrt2-2}{4-2}[/tex]

                               [tex]=\dfrac{4}{2}[/tex]

                               = 2

LHS = RHS:  2 = 2  [tex]\checkmark[/tex]

The line crosses (1/2,0) and (0,4/7)

Let m be the slope of this line

● m = [0-(4/7)]/[(1/2)-0)]

● m = (-4/7)/(1/2)

● m = (-4×2)/7

● m = -8/7

So the slope of this line is -8/7

Answer: $1,500

Step-by-step explanation:

Let x represent the total income.

20% of the total amount = 300   -->  0.20x =  300

                                                          ÷0.20     ÷0.20

                                                                   x = 1500

Answer:

The total income is $1,500.

Step-by-step explanation:

$300 / 20% = $15       [ budget percent x 15 = budget amount in dollars]

Housing:            10 x 15 = $150

Food:                  30 x 15 = $450

Fuel:                    15 x 15 = $225

Clothing:            20 x 15 = $300

Health:                15 x 15 = $225

Miscellaneous:   10 x 15 = $150

Total Income:   150+450+225+300+225+150 = $1500

Answer:

[tex]\boxed{a \leq 3}[/tex]

Step-by-step explanation:

Hey there!

Well to find "a" we need to single it out.

3a - 4 ≤ 5

+ 4 to both sides

3a ≤ 9

Divide both sides by 3

a ≤ 3

Hope this helps :)

a ≤ 3 is value of a inequality.

What are an example of inequality?

3a - 4 ≤ 5

+ 4 to both sides

3a ≤ 9

Divide both sides by 3

a ≤ 3

Learn more about inequality

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Answer:

8.17.4 miles per 1 gallons 9. 2 miles per second.

Step-by-step explanation:

so you have yo divide 384 divided by 22 then boom.

Once again you have to divide 60 which is 1 hour (60 minutes is an hour) to the 32 miles. :)

Problem 8

-----------------------

Explanation:

You divide the number of miles over the number of gallons to get this result

384/22 = 17.45

Another way you could think of it is to say

384 miles = 22 gallons

Then you divide both sides by 22 getting

17.45 miles = 1 gallon

Showing that 1 gallon of gas gets you roughly 17.45 miles

=============================================

Problem 9

---------------------

Explanation:

Check out the attached diagram below. For the first column, I placed "32 miles" over "1 hour" to indicate "32 miles per hour". The second column is from the idea that 1 hour = 60 minutes. This helps us convert from hours to minutes. Note how the "hour" units cancel when we divide.

The third column helps us convert from minutes to seconds. We have the "minutes" units cancel out when they divide. It's important that one "minute" unit is on top, and the other is on the bottom. Finally, the last column helps us convert from miles to feet since 1 mile = 5280 feet.

Once this table formed, you multiply the numbers across the top to get 32*1*1*5280  = 168960

And you multiply everything along the bottom row: 1*60*60*1 = 3600

The last step is to divide the two results (top row over bottom row) getting

168960/3600 = 46.933 approximately

So 32 mph converts to roughly 46.933 ft per second.

Side note: the conversion method I used is called the "railroad method" or "railroad tracks method" as the table lines form what appears to be railroad tracks of sorts.

Answer:

[tex]y = 0.01092395604x^3[/tex]

Step-by-step explanation:

Given:

[tex]y = 0.000304x^3[/tex]

Where y is in pounds and x is in inches

Required

Represent y in kilogram and x in centimetre

[tex]y = 0.000304x^3[/tex]

The expression can be rewritten as

[tex](y\ pound) = 0.000304(x\ inch)^3[/tex]

------------------------------------------------------------------------------------------------

If [tex]0.394\ inch= 1\ cm[/tex]

Divide both by 0.394

[tex]\frac{0.394\ inch}{0.394}= \frac{1\ cm}{0.394}[/tex]

[tex]1\ inch= \frac{1\ cm}{0.394}[/tex]

[tex]1\ inch = 2.538\ cm[/tex] (Approximated)

Multiply both sides by x

[tex]x * 1\ inch = 2.538\ cm * x[/tex]

[tex]x \ inch = 2.538x\ cm[/tex]

------------------------------------------------------------------------------------------------

If [tex]2.20\ pound = 1\ kg[/tex]

Divide both by 2.20

[tex]\frac{2.20\ pound}{2.20} = \frac{1\ kg}{2.20}[/tex]

[tex]1\ pound = \frac{1\ kg}{2.20}[/tex]

[tex]1\ pound = 0.455\ kg[/tex] (Approximated)

Multiply both sides by y

[tex]y * 1\ pound = 0.454\ kg * y[/tex]

[tex]y \ pound = 0.454y\ kg[/tex]

------------------------------------------------------------------------------------------------

Substitute 0.455y kg for y pound and 2.538x cm for x inch in [tex](y\ pound) = 0.000304(x\ inch)^3[/tex]

[tex]0.454y = 0.000304(2.538x)^3[/tex]

[tex]0.454y = 0.000304(16.35x^3)[/tex]  Approximated

[tex]0.454y = 0.0049704x^3[/tex]

Divide both sides by 0.455

[tex]\frac{0.455y}{0.455} = \frac{0.0049704x^3}{0.455}[/tex]

[tex]y = \frac{0.0049704x^3}{0.455}[/tex]

[tex]y = 0.01092395604x^3[/tex]

Answer:

GK = 10x+1

GH = 16.4

HK = 20.6

Step-by-step explanation:

Given the expressions 4x+2=GH, 6x-1=HK and GK = 37, according to vector addition GH + HK = GK

Substituting the functions into the formula we will have:

GK = 4x+2 + 6x-1

collect like terms

GK = 4x+6x +2-1

GK = 10x+1

The algebraic expression that represents GK is 10x+1.

To get the value of x, since GK = 37

10x+1 = 37

10x = 37-1

10x = 36

x = 36/10

x = 3.6

Since GH =4x+2, substitute x = 3.6 into the function

GH = 4(3.6)+2

GH = 14.4+2

GH = 16.4

Also HK = 6x-1

HK = 6(3.6)-1

HK = 21.6-1

HK = 20.6

Hence the algebraic expression that represents GK is 10x + 1 and the value GH is 16.4, HK is 20.6

Answer:

6c^4 - 2c^3 + 4

Step-by-step explanation:

Answer: 6[tex]c^{4}[/tex] - 2[tex]c^{3}[/tex] + 4

Step-by-step explanation:

[tex](4c^{4} +1)- (7c^{3} -3)+(2c^{4} + 5c^{3} )[/tex]

[tex]= 4c^{4} +1-7c^{3} +3+2c^{4} +5c^{3}[/tex]

Combine like terms

[tex]= 6c^{4} -2c^{3} + 4[/tex]

Answer:

3, -2, -1, 0, 1, 2, 3

Step-by-step explanation:

Given the inequality expression |x| < 4 where x is unknown. To her the possible values of x, we must undeterstand that the absolute value of a number returns both positive and negative value.

Hence |x| can either return +x or -x

If x is positive, the inequality expression will be x<4.

If the value of x is negative, then -x<4

From -x<4

Multiply both sides by minus sign will change the sense of the inequality sign.

-(-x) > -4

x>-4

If x is greater than -4, then -4<x.

Combining both inequality will give;

-4 < x and x<4

-4<x<4

Hence the possible values of Javier's number are integers between -4 and 4.

The values are -3, -2, -1, 0, 1, 2, 3.

Answer: The answer is y=9 i did the math twice to make sure.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

The equation is in the form:

Ax + By =C

3x + 2y = 18

y-intercept = C/B = 18/2 = 9

Answer:

b = sqrt(161)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

8^2 + b^2 = 15^2

64 + b^2 = 225

Subtract 64 from each side

b^2 = 225-64

b^2 =161

Take the square root of each side

sqrt(b^2) = sqrt(161)

b = sqrt(161)

Answer:

Its a rational number

Step-by-step explanation:

because a rational number has fractions and -22 is a fraction or a decimal