A calculator screen shows a number in scientific notation as 1.04E10. Write this number in standard form.

Answer: Cost of a side dish = $ 7

Cost of a roll = $1

Cost of prime rib = $21

Step-by-step explanation:

Let x = cost of a side dish , y= cost of a roll

Then, cost of a prime rib = 3x

Jackie's meal : prime rib, 2 side dishes, and a roll, it came to $36

i.e. 3x+2x +y = 36

⇒ 5x+y=36   (i)

Ted's meal : prime rib, 3 side dishes, and 2 rolls, it came to $44.

i.e. 3x+3x +2y = 44

⇒6x+2y=44

⇒ 3x+ y= 22   (ii)  [divide both sides by 2]

Subtract (ii) from (i), we get

2x= 14

⇒ x=7               [divide both sides by 2]

Put x=7 in (ii), 3(7)+y=22

⇒ 21+y=22

⇒  y =22-21

⇒ y= 1

So, cost of a side dish = $ 7

cost of a roll = $1

cost of prime rib = 3x $7 = $21

Answer:

It's in standard form

Step-by-step explanation:

Hello.

If ΔTGS ≅ ΔKEL, then angle ∠T ≅ ∠K because:

∠T ≅ ∠K

∠G ≅ ∠E

∠S ≅ ∠L

Answer:

Then it is K

But you aren't giving me a lot of information

to work with here, so I answered it the best I know-how.

Step-by-step explanation:

:) Hope you enjoy it :)

Answer:

( g − f ) ( a ) = g ( a ) − f ( a )

( g −f ) ( a ) = g ( a ) − f ( a )

= − 3 a − 3 − a 2 − 5

= − a 2 − 3a − 8

Step-by-step explanation:

After calculating, the value of (g f) (t) is ( - 4t + 13).

A relation between a set of inputs having one output each is called a function.

Given that;

The functions are,

⇒ g(t) = -2t + 3 and f (t) = 2t - 5

So, The value of function (g f) (t) is find as;

⇒ (g f) (t) = g (f (t))

             = g (2t - 5)

             = - 2 (2t - 5) + 3

             = - 4t + 10 + 3

             = - 4t + 13

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Answer:

3 = 0.25 + 0.5d

Step-by-step explanation:

Given that:

Amount charged per hour = $2

Time left before inserting $d = 15 minutes

Total time after inserting $d = 3 hours

Total time of 3 hours = time left by previous driver + hours purchased with $d

$2 = 1 hour

$d = x

2x = d

x = d/2 ; 0.5d

Since 15 minutes is left before inserting $d

15 minutes to hour ; 15/60 = 0.25

Total time of 3 hours = time left by previous driver + hours purchased with $

3 = 0.25 + 0.5d

Answer:

3.90

Step-by-step explanation:

Answer:

34 unit squared

Step-by-step explanation:

4*12 then divide 2

4*5 then divide by 2

add two values together and get 34

Answer:

24

Step-by-step explanation:

A=bh x (1/2)

base times height divided by two

Problem 18

Answers:

~P -> Q: "if it is not fall, then the leaves change colors"

~P -> ~Q: "if it is not fall, then the leaves don't change colors"

P -> ~Q: "If it is fall, then the leaves don't change colors"

Q -> ~P: "If the leaves change colors, then it is not fall"

----------

Explanation:

Simply replace each letter with the corresponding definition. We replace each P with "it is fall" and each ~P with "it is not fall". The squiggly line means "not". The same idea applies with Q and ~Q.

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

Problem 19

Answer: Choice A) 134

----------

Explanation:

AB = CD

8x = 4x+24

8x-4x = 24

4x = 24

x = 6

BC = 18x+26

BC = 18*6+26

BC = 134

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

Problem 20

Answer: Choice C) x = 5 and y = 11

----------

Explanation:

(anglePQR)+(angleRQS) = 90

(12x-2)+(6x+2) = 90

18x = 90

x = 5

angle TQU = 90

10y-20 = 90

10y = 110

y = 11

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

Problem 21

Answer:  99

----------

Explanation:

The remote interior angles add to the exterior angle (remote interior angle theorem)

(angle RPQ) + (angle PQR) = angle PRS

(3x-29) + (7x-42) = 6x-3

10x-71 = 6x-3

10x-6x = -3+71

4x = 68

x = 68/4

x = 17

angle PRS = 6x-3

angle PRS = 6*17-3

angle PRS = 99

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

Problem 22

Answer: 116

----------

Explanation:

Refer to the diagram below.

Solve 105+x = 180 to get x = 75

Solve 135+y = 180 to get y = 45

Solve x+y+z = 180 to get z = 60

Solve z+82+p = 180 to get p = 38

Solve p+78+q = 180 to get q = 64

Solve q+r = 180 to get r = 116

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

Problem 23

Answer: B) between 4 and 44 inches

----------

Explanation:

We use a variation of the triangle inequality theorem here.

If p is the missing side length, then

24-20 < p < 24+20

4 < p < 44

So,

4 < XY < 44

The side XY cannot be 4 inches and it cannot be 44 inches either.

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

Problem 24

4 Answers: A, B, C, D

----------

Explanation:

Same idea as problem 23

24-10 < x < 24+10

14 < x < 34

So we'll select values between 14 and 34, excluding each endpoint. Those values are x = 16, 18, 24, 26

In other words, only 12 and 34 are non-answers.

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

Problem 25

Answer: C) 84 degrees

----------

Explanation:

The given exterior angle is 152 degrees

Subtract that from 180 to get the adjacent interior angle 180-152 = 28

Now let's find the missing angle of triangle DEB

D+E+B = 180

28+68+B = 180

96+B = 180

B = 180-96

B = 84

This is the measure of angle DBE

This is also the measure of angle ABC because the two angles are vertical angles.

Vertical angles are always congruent.

Answer:

A. it goes up by 4 each time so 4 to 10 would be 14 and 4 up from that would be 18

Answer:

x= 13

Step-by-step explanation:

Answer:

Each vertex is 3 times as far from P as the original. Each segment is 3 times as long. It is easy enough to count grid squares to plot the points in the right places.

Step-by-step explanation:

see attachment

Answer:

2 and 4/5

Step-by-step explanation:

If you ate 2/5 of a pizza in 1/7 of an hour then you need to multiply 2/5 by 7

Start by converting 7 into a fraction

7 = 7/1

then multiply the top and bottom of the fractions

2 * 7 = 14

5 * 1 = 5

2/5 * 7/1 = 14/5

Convert 14/5 into a mixed number

14/5 = 2 and 4/5

Answer:85

Step-by-step explanation:

[tex]F[/tex]High temperature last Thursday of city is [tex]85[/tex]°

        [tex]81[/tex]°[tex]F[/tex],then the five high temperatures are listed in order from greatest          

         to least (or least to greatest),

                A.[tex]85[/tex]°[tex]F[/tex]

                B.[tex]75[/tex]°[tex]F[/tex]

               C.[tex]65[/tex]°[tex]F[/tex]

               D.[tex]55[/tex]°[tex]F[/tex]

        [tex]81[/tex]°[tex]F[/tex].

         [tex]81[/tex]°[tex]F[/tex].

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Answer:

a = 14.4

Step-by-step explanation:

8a/8 = a       8(-a+4)/8=-a+4      equation is now    -a+4=-6a-8

-6a/-6 = a      -a/-6=1/6a    equation is now   1/6a + 4 = a-8

a-8 + 8 = a      1/6a + 4 + 8 = 1/6a + 12     equation is now     a = 1/6a+12

5/6 are left of the variable  12/5=2.4    12 + 2.4 = 14.4

Answer:

Jessica's mum will give her 44.46

Step-by-step explanation:

To solve this, we will first of all need to get the total cost of sending the birthday invitations across. After that, we can now split the cost into two.

Cost of sending birthday invitations:

Package cost = 16.95

Number of packages bought = 4

total sum spent on packages = 4 X 16.95 = 67.8

Each package contains 12 invitations.

There are 4 packages.

Total number of invitations = 12 X 4 = 48 invitations

One stamp cost 0.44.

Putting stamps on all 48 invitations will cost 0.44 X 48 = 21.12

Therefore the total cost will be  the total sum spent on packages +the total sum spent on stamps = 67.8 + 21.12 = 88.92

Her mum has agreed to pay half of this cost which is 88.92 / 2 = 44.46

Answer:

50

Step-by-step explanation:

Let the number of orders required be x

Fund raiser A , 1.50 for each other plus bonus of 75

for x orders, we have 1.50 * x = 1.50x

Add the bonus = 1.50x + 75

Fund raiser B, $3 for each other , no bonus

Total from fund raiser B is 3 * x = 3x

So to make them equal, we ensure that e equate both values;

3x = 1.5x + 75

3x -1.5x = 75

1.5x = 75

x = 75/1.5

x = 50

50 orders will make both funds equal

Answer:

40% off

Step-by-step explanation:

Answer:

Step-by-step explanation:

Initial price

Later price

Percent change:

Answer: $335.40

.....................................

Answer:

y-intercept=-4

x-intercept=12

Answer:

RS=13

Step-by-step explanation:

RS+ST=RT

2w+1+w-1=18

3w=18

w=6

RS= 2w+1= 2(6)+1= 12+1= 13

Answer:

[tex]Point-Slope \: Form \: (using \: the \: point \: (1,9) \to \boxed{y-9=2x- 2}\\

Slope-Intercept \: Form \to \boxed{y = 2x + 7}\\

Standard \: Form\to\boxed{ 2x - y = - 7}[/tex]

Step-by-step explanation:

[tex]the \: equation \: is \: gotten \: by \: applying : \ \\ (m) = \frac{ y_{2} -y_{1} }{x_{2} - x_{1}} .............(the \: slope) \\ y-y_{1} =m (x- x_{1})..............(point \: slope \: form) \\ y = mx + c..............................(Slope-Intercept \: Form) \\ \alpha x + \beta y = c...................(Standard \: Form) \\ \\ part \: a. \to \\ Point-Slope \: Form \: (using \: the \: point (1, \: 9)): \\ y-y_{1}=m (x- x_{1}) \\ y-9=m (x- 1) \\ but \: m = \frac{ y_{2} -y_{1} }{x_{2} - x_{1}} = \frac{9 - 7}{1 - 0} \\ m = 2. \\ therefore \: the \: required \: equation \: is : \\ \boxed{y-9=2x- 2}. \\ \\ part \: b. \to \\ Slope-Intercept \: Form: \\ since \: m \: is \: already \: given \: then \: we \: apply : \\ y = m(x) + c \\ c = y - m(x) \\ c = 9 - 2(1) \\ c = 7. \\ therefore \: the \: required \: equation \: is : \\ \boxed{y = 2x + 7}. \\ \\ part \: c. \\Standard \: Form: \\ the \: standard \: form \: is \: given \: by : \\ \alpha x + \beta y = c \\ \boxed{ 2x - y = - 7} \\ is \: the \: required \: equation.[/tex]

♨Rage♨

Answer:

m = -k/7

Step-by-step explanation:

(to) Solve for m;

7m + k = 0.         Given

      - k     -k        Subtract K from both sides

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

      7m = -k        K becomes negative since it was subtracted

        _      _

        7      7         Divide both sides by 7 to get m by itself

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

        m = -k/7      Answer