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3 years ago

50 POINTS PLS HELP!!!

Mathematics

1 answer:

Viefleur [7K]3 years ago

7 0

Answer:

1.) 90 ways

2.) 15,600 ways

3.) 24 ways

Step-by-step explanation:

1.) Let's say we are given 2 digits not equal to each other...The number of different orderings would be 2*1 = 2, or if we wanted the number of ways to order 2 digits chosen : 10*9 = 90 ways

2.) The number of ways to arrange 3 letters from 26 letters is:

26 Permutes 3 = 26! / (26 -3)! = 26*25*24 = 15,600 ways to choose 3 letters in a certain order

3.) 4 different chores. The number of ways to do them = 4*3*2 *1 = 24 ways

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identify the solution of the equation x divided by 7 equals 3: 20,21,20 btw this is middle school work. :)

Marrrta [24]

Answer:

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Step-by-step explanation:

7 0

3 years ago

Write the equation of a line that is parallel to y=−5/4x+7

fgiga [73]

Answer:

y=-5/4x-4.

Step-by-step explanation:

parallel lines have to have the same slope so they don't intersect each other

original equation with the same slope and rewrite it using point slope form:

y-y1=-5/4(x-x1) now Substitute the point(-4,1)

y-1=-5/4(x-(-4))

y-1=-5/4(x+4)

Now we can distribute the -5/4 and add 1 to the right to get our final slope-intercept form:

y-1=-5/4x-5

y=-5/4x-4.

The parallel line of y=-5/4x+7 that passes through point (-4,1) is y=-5/4x-4.

7 0

3 years ago

Solve- cbb to work it out

zloy xaker [14]

<h3>Answers: </h3>

➝ Hypotenuse of triangle ( a ) = 21.63 mm

➝ Hypotenuse of triangle ( b ) = 150 mm

➝ Hypotenuse of triangle ( c ) = 111.80 mm

$\quad\rule{300pt}{1.5pt}\quad$

<h3>Solution:</h3>

We have to find the length of hypotenuse in the given 3 triangles, which can be done by using Pythagoras theorem.

Pythagoras theorem states that :

" In a right angled triangle, the square of hypotenuse side is equal to the sum of square of other two sides "

$\qquad \bull \:{\pmb{\mathfrak{ h^2 = b^2 + p^2}}}$

And we have to convert the answer to the units indicated in red i.e, in mm.

Since 1cm = 10 mm, we will convert the given values of length of side in mm before putting the values in the formula

For triangle ( a )

$:\implies\qquad \sf{ h^2 = b^2 + p^2}$

$:\implies\qquad \sf{ h =\sqrt{b^2 + p^2}}$

$:\implies\qquad \sf{h=\sqrt{ (12)^2 + (18)^2 }}$

$:\implies\qquad \sf{ h= \sqrt{144 + 324}}$

$:\implies\qquad \sf{ h = \sqrt{468}}$

$:\implies\qquad\underline{\underline{\pmb{ \sf{ h = 21.63 mm}}}}$

For triangle ( b )

$:\implies\qquad \sf{ h^2 = b^2 + p^2}$

$:\implies\qquad \sf{h =\sqrt{b^2 + p^2} }$

$:\implies\qquad \sf{ h = \sqrt{(90)^2+(120)^2}}$

$:\implies\qquad \sf{ h=\sqrt{8100+14400}}$

$:\implies\qquad \sf{ h =\sqrt{22500}}$

$:\implies\qquad\underline{\underline{\pmb{ \sf{h = 150mm}}} }$

For triangle ( c )

$:\implies\qquad \sf{h^2 = b^2 + p^2 }$

$:\implies\qquad \sf{ h=\sqrt{b^2 + p^2}}$

$:\implies\qquad \sf{ h =\sqrt{(100)^2)+(50)^2}}$

$:\implies\qquad \sf{ h=\sqrt{10000+2500}}$

$:\implies\qquad \sf{ h =\sqrt{12500}}$

$:\implies\qquad \underline{\underline{\pmb{\sf{h = 111.80mm}}} }$

4 0

2 years ago

Is this equation proportional? why? y = 3x - 2

iragen [17]

Answer:

Yes it is proportional

Step-by-step explanation:

If an equation like this one has a constant rate of change then it is. that means that if the ratio always stays the same and never changes, it will be proportional.

5 0

2 years ago

Jane is making a suit which requires 2 5⁄8 yards for the jacket and 1 3⁄4 yards for the skirt. What's the total amount of materi

kow [346]

To find the total amount of material Jane needs, we need to add the individual amounts. Add 2 5/8 and 1 3/4.

2 5/8 + 1 3/4

Convert these mixed numbers to improper fractions before adding. To do so, multiply the denominator by the whole number, and add the numerator. The number that results becomes the new numerator. The denominator remains the same.

2 5/8 --> 8 × 2 + 5 = 21 --> 21/8

1 3/4 --> 4 × 1 + 3 = 7 --> 7/4

We now have:

21/8 + 7/4

To add these, we must get common denominators. Multiply 7/4 by 2/2 to get a common denominator of 8.

7/4 × 2/2 = 14/8

Solve.

21/8 + 14/8 = 35/8

To convert this improper fraction to a mixed number, divide the numerator by the denominator; this becomes the whole number. The remainder goes above the denominator, and that's the new fraction.

35/8 = 4 with a remainder of 3; this goes over the denominator (8).

Answer:

A. 4 3⁄8 yards

3 0

3 years ago