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Find the area of the shape
below.
9 cm
11 cm
6 cm
15 cm

Answer:

t=-3.7

Step-by-step explanation:

5 (t+3)=-3.5

solving the bracket we have;

5t+15=-3.5

collect like terms

5t=-3.5-15

5t=-18.5

divide both sides by 5;

t=-3.7

The value of t in the given algebraic expression is; t = -2.3

We are given the equation;

5(t + 3) = 3.5

Using distributive property on the left hand side, we have;

5t + (5 × 3) = 3.5

5t + 15 = 3.5

Using subtractive property of equality, subtract 15 from both sides to get;

5t + 15 - 15 = 3.5 - 15

5t = -11.5

Divide both sides by 5 to get;

5t/5 = -11.5/5

t = -2.3

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Answer:

55

Step-by-step explanation:

The required solution is 40 and after 40days  $10 left for each of the gift card.

It is required to find the solution.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The first equation is 130 - 3x because you start with $130 and subtract 3 for each 30 day period.

The second equation is 110-2.50x

Set them equal to each other:  130 - 3x = 110 - 2.50x

Solve for x:

130 - 3x = 110 - 2.50x

130-110=3x-2.50x

20=0.50x

40 = x

After 30-40 day periods (1200 days), both cards should have equal value.

Card 1 after 40 periods,

=130 - 3(40) = $10 left

Card 2 after 40 periods

=110 - 2.5(40) = $10 left

Therefore, the required solution is 40 and after 40days  $10 left for each of the gift card.

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Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Amount Noah borrowed from his mother = $17

Amount paid = $8

Change in the amount of money Noah's mother has :

Let initial amount her mother has = x

Hence, the amount she has after Noah paid $8 to her will be :

Initial amount - amount borrowed + amount paid

= x - $17 + $8.

The simplified amount = x - $9

The amount Noah still owes :

Total amount owed - amount paid

$17 - $8 = $9

The change in the amount of money that Noah's mother will be $ 9.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Noah borrowed $17 from his mother. He then paid back $8 of the amount he owed.

Then the amount owed will be given as the difference between the initial amount and paid amount.

→ $ 17 - $ 8

→ $ 9

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Answer:

9:16

Step-by-step explanation:

In a similar rectangle , the ratio of lengths should be equal to ratio of widths.

Ratio of lengths =

[tex] \frac{length \: of \: rectangle \: 1}{length \: of \: rectangle \: 2} = \frac{3}{4} [/tex]

Hence , Ratio of widths =

[tex] \frac{width \: of \: rectangle \: 1}{width \: of \: rectangle \: 2} = \frac{3}{4} [/tex]

Area of rectangle 1 = Length 1 × Width 1 = 3×3 = 9

Area of rectangle 2= Length 2 × Width 2= 4×4= 16

Ratio of areas of both rectangles =

[tex] \frac{area \: of \: rectangle \: 1}{area \: of \: rectangle \: 2 \: } = \: \frac{9}{16} [/tex]

Answer:

See Below

Step-by-step explanation:

[tex]\frac{2}{5} -7[/tex]

First, let's make 7 into an improper fraction

7x5 =35

2/5 - 35/5 = -33/5

Answer:

59

Step-by-step explanation:

1. -35

2. +9

3. -23

4. +3

5. +5

6. -7

7. +125

8. -18

Add them all up in a calculator and you get 59

Answer:

-3=a

Step-by-step explanation:

-a+4a-9=8a+6

3a-9=8a+6

3a-9-6=8a+6-6

3a-15=8a

3a-3a-15=8a-3a

-15=5a

-15/5=5a/5

-3=a

Answer:

The opposite of a number is its additive inverse. The sum of a number and its opposite is zero

Step-by-step explanation:

Answer:

- x, 0

Step-by-step explanation:

The opposite of x is - x because they cancel each other out. It doesn't matter what x is because - x and x are the same amount of distance from each other.

The sume of x and its opposite is 0.

Hope This Helps :)

Answer:

0.0045

Step-by-step explanation:

:)

Answer:

24. a. perimeter=6x-6 or 6(x-1) b. area=2x²+x-28

25. -5x² and 2x are not like terms so you cannot combine them.

Step-by-step explanation:

24. a. perimeter:

add up each side:

(2x-7)+(2x-7)+(x+4)+(x+4)= 6x-6 or 6(x-1)

b. area:

F.O.I.L.:

(2x-7)(x+4)=2x²+8x-7x-28

2x²+x-28

Answer:5 12/25

Step-by-step explanation:

48-24-12

over

100-50-25

Answer/Step-by-step explanation:

Given the function, [tex] g(z) = 5z + 2.1 [/tex], the table can be completed by substituting the given value of z as follows:

Question 2: z = -7

[tex] g(-7) = 5(-7) + 2.1 [/tex]

[tex] g(-7) = -35 + 2.1 [/tex]

[tex] g(-7) = 32.9 [/tex]

Question 3: z = -8

[tex] g(-7) = 5(-8) + 2.1 [/tex]

[tex] g(-7) = -40 + 2.1 [/tex]

[tex] g(-7) = 37.9 [/tex]

Answer:

Surface Area would be 200² inches.

Step-by-step explanation:

SA=2(12*9)+2(9*2)+2(12*2)

SA=2(108)+2(18)+2(24)

SA=216+36+48

SA=200² in.

Answer:

K

Step-by-step explanation:

As per diagram, the intersection of the line JL and plane R is the point K

Correct option is the last one

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

B (4, 6) and K (–6, –2)

The distance is

[tex] |BK| = \sqrt{ ({4 + 6})^{2} + ({6 + 2})^{2} } \\ = \sqrt{ {10}^{2} + {8}^{2} } \: \: \: \: \: \: \: \: \: \\ = \sqrt{100 + 64} \: \: \: \: \: \: \: \: \: \\ = \sqrt{164} \\ = 2 \sqrt{41} \\ = 12.80[/tex]

We have the final answer as

Hope this helps you

Answer:

15

Step-by-step explanation:

Answer: 11 stickers each

Step-by-step explanation:

given data:

packs of stickers bought by mark = 12 ( 5 ) = 60 stickers

no of stickers left with mark = 27

= Total no of stickers – stickers remaining with mark

= 60 – 27

= 33 stickers

he gave his 3 friends equal number of stickers.

3x = 33

x = 11

number of stickers received by each friend is 11

Answer:12

Step-by-step explanation:6+(5+1)

5+1=6

6+(6)=12

Answer:

-2x^2

Explanation:

=-2*x^2

=-2*(x*x)

=-2x^2

Answer:

D'(1, - 1 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply the coordinates of D by [tex]\frac{1}{2}[/tex] , that is

D(2, - 2 ) → D'([tex]\frac{1}{2}[/tex] (2) , [tex]\frac{1}{2}[/tex] (- 2) ) → D'(1, - 1 )

Answer:

3 divided by 4

Step-by-step explanation:

the slash mark means divided.

Answer:

Length is 5, width is 3.

Step-by-step explanation:

The formula for the perimeter of a rectangle is:

[tex]P=2l+2w[/tex]

Where P is the perimeter, l is the length, and w is the width.

With the original length and width, the perimeter is 16, thus:

[tex]16=2l+2w[/tex]

Now, if we double the length, the 2l will become 4l. Also, the perimeter will change to 26. Thus:

[tex]26=4l+2w[/tex]

Now, we have a system of equations. We can solve it using elimination. Multiply everything by -1 in the first equation:

[tex]16=2l+2w\\-16=-2l-2w[/tex]

Now, add the equations:

[tex]-16=-2l-2w\\26=4l+2w[/tex]

-16 plus 26 is 10. -2l plus 4l is 2l. The 2w cancel. Thus:

[tex]10=2l[/tex]

Divide both sides by 2:

[tex]l=5[/tex]

So, the original length was 5.

To find the original width, substitute 5 back into the first equation:

[tex]16=2(5)+2w[/tex]

Multiply:

[tex]16=10+2w[/tex]

Subtract 10 from both sides:

[tex]2w=6[/tex]

Divide both sides by 2:

[tex]w=3[/tex]

So, the original width was 3.

And we're done!

Checking:

Originally, our length was 5 and 3. This means that the perimeter is 2(5+3)=2(8)=16 which is correct.

After we double our length, our length will be 10. This means that the new perimeter is 2(10+3)=2(13)=26. So, our answers are correct!

Let's assume that length be L and width be B.

Perimeter of rectangle is given by,

Perimeter = 2( L + B)

So,

⇒ 16 cm = 2 ( L + B )

⇒ 8cm = L + B _______( Say equation 1)

Now, we are given that when length is doubled perimeter is 26.

So,

⇒ 26 cm = 2 ( 2 L + B )

⇒ 13 cm = 2 L + B

⇒ 13 cm = L + L + B

Now use equation-1

⇒13 cm = L + 8cm

⇒13 cm - 8 cm = L

⇒5 cm = L

Therefore length is 5cm.

Now substitute this value in equation 1

⇒L + B = 8 cm

⇒5cm + B = 8 cm

⇒B = 8 cm - 5 cm

⇒B = 3 cm

Therefore breadth is 3 cm.

Step-by-step explanation:

for a perpendicular,

make x the subject.

8x=11-3y

x=11/8 +3/8

for a perpendicular, the gradient

x= -1/m

x= (-1/11/8) - (-1/3y/8)

x= 8/3y -8/11.

therefore the gradient (m) = 8/3y -8/11.

Answer:

i. $26

ii. $(8 + 3t)

Step-by-step explanation:

Given that: automatic fee is $8, and fee per hour is $3. Then;

i. If he left his car in the lot for 6 hours, amount to be paid can be calculated as thus;

since fee per hour is $3, then for 6 hours; the fee = 6 x $3

                                                                                   = $18

Total amount to be paid after 6 hours = automatic fee + $18

                                                               = $8 + $18

                                                               = $26

For parking his car for 6 hours, he would pay $26

ii. Amount paid for t hours = automatic fee + $ 3 x t

                                                          = $(8 + 3t)

Answer:

i think underroot 29 is a midpoint of this two unit

Answer:

B(-6,7)

mid point (1,5)

Step-by-step explanation:

A=-2,-3  M (-4,2) is the midpoint between A and B

x of M=(xA+xB)/2

-4=-2+xB/2

-4(2)=-2+xB

yM=(yA+yB)/2

2=(-3+yB)/2

2(2)=-3+yB

yB=4+3

midpoint (xa+xb/2 , ya+yb/2)

(-1+3/2 ,4+6/2)

(1,5)

GCF = 38

38 = 2×19

76 = 4×19 = 2²×19

114 = 2×3×19

GCF = 2×19 = 38