a sweater was on 20% discount. the amount of discount was $7 what was the original price?​

[tex]\boxed{\sf Distance=Speed(Time)}[/tex]

Let

Both travelled same distance

[tex]\\ \sf\longmapsto 4x=3(x+10)[/tex]

[tex]\\ \sf\longmapsto 4x=3x+30[/tex]

[tex]\\ \sf\longmapsto x=30mph[/tex]

Answer:

Yes I agree with Morgan

Step-by-step explanation:

The absolute value of a number is its positive distance from 0. Therefore, -8 is 8 units away from 0 while 7 is 7 units away from 0. Since 8>7, then Morgan is correct in his statement.

Answer:

2.108*10^3

Step-by-step explanation:

sin θ = 3 / 7 = .429

sin^2 θ + cos^2 θ = 1      trig identity

9/49 + cos^2 θ = 1

cos^2 θ = 40 / 49 = .816       cos θ = .903

Check .429^2 + .903^2 = 1

cos .903 = 25.4 deg

In the second quadrant sin = +, cos = -, tan = -

So 25.4 deg in the second quadrant = 180 - 25.4 = 154.6 deg

Check:

sin 154.6 = .428

cos 154.6 = -.903

tan 154.6 = -.475

Answer:

5.5 ft

Step-by-step explanation:

because its 4ft for every 1ft there's a ratio of 1:4 so 22 represents the 4 part of the ratio, hence 22 divided by 4 gives us 5.5 on the base

Answer:

488

Step-by-step explanation:

if their corresponding angles are congruent and the corresponding sides are in proportion ...so it will be similar triangle

Answer:

2.5

Step-by-step explanation:

4*2.5= 10

8* 2.5=20

how i got 2.5 is by doing 10 divided by 4

Answer:

2.5

4*2.5= 10

8* 2.5=20

how i got 2.5 is by doing 10 divided by 4

Step-by-step explanation:

The value of b that Lois give Clark will be -7

Rearrange;

2x + 7 - x = 4x + 2b – 3x - 3b.

x + 7 = x + 2b - 3b

2b - 3b = 7

-b = 7

b = -7

Substitute b = -7 into the expression and find the value of x;

2x + 7 - x = 4x + 2(-7) – 3x - 3(-7)

x + 7 = 4x - 3x - 14 + 21

x + 7 = x + 7

Since for every x he picks, the left side is always 3 more than the right side, the equation becomes;

x + 7 = x + 3x + 7

x + 7 = 4x + 7

x - 4x = 0

-3x = 0

x = 0

Hence the value of b that Lois give Clark will be -7

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Answer:

tbh idek bc the pen pen duck duck duck goose I don't know I'm doing this for the beginning part

Answer:

y=x+1

Step-by-step explanation:

1) Find the slope

m=-3-4/-4-3

m=-7/-7

m=1

2) Use y=mx+c

by using the point (3,4)

4=1(3)+c

4=3+c

c=1

3) The answer

y=x+1

Answer:

1332.25 yd²

Step-by-step explanation:

To find the area, you do length times width. Since it is a square and each side is 36.5, you do 36.5 * 36.5 to find the area.

36.5 * 36.5=1332.25

Answer:

A.

(w.3)+5

=w. 3+5

=w . 8

B.

(w.30) +5

=w.30+5

=w . 35

C.

(w.30) + (w.5)

=w.30+w.5

=w+w.30.5

=2w . 35

D.

(w.5)+3

=w . 5+3

=w . 8

so, B is the expression which is equivalent

to w . 35

Answer:

1 a is your answer

Step-by-step explanation:

mark brainlest pls and i hope this helps

From the information given, it can be inferred that the expansion of the equation will be 5a - 9b + 16 - ab.

= 2(- a + 5) – 3 (a + 5b-2)+b (6-a)

We've to expand the functions and this will be:

= -2a + 10 - 3a - 15b + 6 + 6b - ab

Collect like terms

= - 2a - 3a - 15b + 6b + 10 + 6 - ab

= -5a - 9b + 16 - ab

Therefore, the expression is equivalent to 5a - 9b + 16 - ab.

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Answer:

B.

Step-by-step explanation:

You just remove 3 zeros from 10.

10 —> 1 —> 0.1 —> 0.01 :)

Step-by-step explanation:

al nth term:

numerator:

[tex] = {n}^{2} [/tex]

denominator:

[tex] = n + 1[/tex]

so nth term :

[tex] = \frac{ {n}^{2} }{n + 1} [/tex]

b). 1; 11; 27; 49

first difference: 10; 16; 22

second difference :6

formula for 1st difference:3a+b

formula for 2nd difference:2a

Therefore:

2a=6

a=3

3a+b=10

sub in a

3(3)+b=10

9+b=10

b=1

sub into quadratic formula

[tex] {an}^{2} + bn + c[/tex]

[tex](3) {(1)}^{2} + (1)(1) + c = 1[/tex]

[tex]3(1) + 1 + c = 1[/tex]

[tex]3 + 1 + c = 1[/tex]

[tex]4 + c = 1[/tex]

[tex]c = - 3[/tex]

So Tn:

[tex]3 {n }^{2} + 1n - 3[/tex]

Step-by-step explanation:

a)

it is clearly a sequence of the square numbers over the numbers+1.

1/2 = 1²/(1+1)

4/3 = 2²/(2+1)

9/4 = 3²/(3+1)

16/5 = 4²/(4+1)

so, the nth term would be

n²/(n+1)

b)

an² + bn + c creates the sequence with increasing n (n = 1, 2, 3, 4, ...)

since for sequence the first starting value is often not generated by the general expression, we have to focus on n = 2, n = 3 and n = 4, and with that we get 3 equations with 3 variables (a, b, c) that we can solve :

n = 2

a×2² + b×2 + c = 11 = 4a + 2b + c

n = 3

a×3² + b×3 + c = 27 = 9a + 3b + c

n = 4

a×4² + b×4 + c = 49 = 16a + 4b + c

the first equation gives us

c = 11 - 4a - 2b

when we use this in the second equation, we get

27 = 9a + 3b + 11 - 4a - 2b = 5a + b + 11

b = 16 - 5a

now we use both of that in the third equation :

49 = 16a +4(16 - 5a) + 11 - 4a - 2(16 - 5a) =

= 16a + 64 - 20a + 11 - 4a - 32 + 10a =

= 2a + 43

2a = 6

a = 3

b = 16 - 5a = 16 - 5×3 = 16 - 15 = 1

c = 11 - 4a - 2b = 11 - 4×3 - 2×1 = 11 - 12 - 2 = -3

Answer:

five times a number plus two.

Answer:

i got 47/88

Step-by-step explanation:

Divide each number by two

Answer:

₹1680

Step-by-step explanation:

Road  Length (m)  Width (m)   Area ([tex]m^{2}[/tex])

  1            80              10              800

  2           60              10               600

(800+600) = 1400 ([tex]m^{2}[/tex])

1400 ([tex]m^{2}[/tex])*(₹ 1.20/m) = ₹1680

Answer:

3 is in the wrong place

Step-by-step explanation:

:)

One of the errors made by Margie by saying the set of numbers 0, 1, -1, -21, 4, 3 is that the -21 should be the first number on the list.

The given set of numbers is:

0, 1, -1, -21, 4, 3.

Margie says that the set of numbers above is in order from least to greatest

Kindly note that:

The negative number with the highest magnitude is the lowest

The positive number with the highest magnitude is the highest

Arranging this number by carefully following the note above, the set of numbers above from the least to greatest is:

-21, -1, 0, 1, 3, 4

It is obvious that Margie made a mistake in arranging the numbers, and one of the mistake is that the -21 should be the first number on the list since it is the most negative

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Answer:

19/50

Step-by-step explanation:

19 males and 50 people are in total

Answer:

19/50

Step-by-step explanation:

number of men=19

total passengers = 19+31=50

ratio of men to total people's = 19/50

Answer:

Answer is in the attached file.

Answer: there you go

Step-by-step explanation:

The angle of slope of the line between the coordinates (-4, 10) and (-8, -6) is 4.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

To find the slope of a line, we use the formula:

slope = (change in y) / (change in x)

We can use the given points (-4, 10) and (-8, -6) to find the slope:

change in y = (-6) - 10 = -16

change in x = (-8) - (-4) = -4

slope = (-16) / 4 = 4

Therefore, the slope of the line passing through the points (-4, 10) and (-8, -6) is 4.

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Answer:

-45

Step-by-step explanation:

I think one way you could do it is:

1. –3(–5) = 15

2. (–1)(3)​ = -3

3. (15) (-3) = -45

I used a calculator pls let me know if im incorrect