2) 3x + 4y = 8
2x+y=42
a) (30, -19)
b) (31, -20)
c) (32,-22)
What is the answer

Answer:

20x+50

Step-by-step explanation:

Let x represent the number of days he has the car

20x+50

It is 20x, because it costs 20 dollars for each day he has the car, and +50, because there is a fee, regardless of how many days he has the car.

Hope this helps!

Answer:

To write the following expressions as a multiple of a power of 10 you need to take each of the numbers and raise them to the power of 10.

An easy way to do this is to find the decimal point and move it over one spot to the right.

a. 0.04- move the decimal one to the right and you get that 0.04^10=00.4.

b. 0.072-move the decimal to the right one spot you get 0.072^10=00.72.

c. 0.0000325-move your decical to get 0.0000325^10=00.000325.

d. 0.003-move the decimal to get 0.003^10=00.03 or three hundredths.

e. 0.23-move your decimal to get 0.23^10=2.3 or two and three tenths.

f. 0.729-move you decimal to the right to get 0.729^10=07.29 or seven and twenty-nine hundredths.

g. 0.000041- move your decimal to the right to get 0.000041^10=00.00041 or forty-one hundred thousandths.

Hope this helps ;)

To write the expression as a multiple of a power of 10 ; we express the decimals in scientific notation :

0.04 :

0.04 = [tex] 4 \times 10^{-2}[/tex]

0.072 :

0.072 = [tex] 7.2 \times 10^{-3}[/tex]

0.0000325 :

0.04 = [tex] 3.25 \times 10^{-5}[/tex]

Three thousandth = 0.003 :

0.003 = [tex] 3 \times 10^{-3}[/tex]

23 hundredths = 0.023:

0.023 = [tex] 2.3 \times 10^{-2}[/tex]

729 thousandths = 0.00729 :

0.00729 = [tex] 7.29 \times 10^{-3}[/tex]

41 millionths = 0.0000041

0.0000041 = [tex] 4.1\times 10^{-6}[/tex]

Hence, the scientific representation.

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The mean length of practice time will be equal to 60 minutes.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

Given data:-

She found that Sven practised for 30 minutes, Li Mihn practised for 45 minutes, Wendy practised for 90 minutes, Thomas practised for 75 minutes, and Gabriel practised for 60 minutes

The mean will be calculated as:-

M = ( 30+45+90+75+60) / 5

M = 60 minutes

Therefore mean length of practice time will be equal to 60 minutes.

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Answer: [tex]m=9[/tex]

Step-by-step explanation:

Step 1: Subtract 8 from both sides: [tex]7m+8-8=71-8[/tex]

[tex]7m=63[/tex]

Step 2: Divide both sides by 7: [tex]7m/7=63/7[/tex]

Get your answer: [tex]m=9[/tex]

Answer:

-4

Step-by-step explanation:

plug in -2

-(-2)^2 = -4

4. You substitute the x with -2, which means the problem is -(-2^2).

Answer:

The coordinates of [tex]P^\prime[/tex] would be [tex](3,\, 0)[/tex].

Step-by-step explanation:

The two points [tex]P[/tex] and [tex]P^\prime[/tex] are on a Cartesian plane.

By convention, the positive [tex]x[/tex]-axis on a Cartesian plane points to the right. As a result,

Also by convention, the positive [tex]y[/tex]-axis on a Cartesian plane points upwards. Similarly,

In this case,

Therefore, the coordinates of [tex]P^\prime[/tex] would be [tex](3,\, 0)[/tex].

Answer:

(3,0)

Step-by-step explanation:

The two points  and  are on a Cartesian plane. By convention, the positive -axis on a Cartesian plane points to the right. As a result,Moving a point to the right by  units is the same as adding  to its -coordinate. If the point was initially at , it would be moved to .Moving a point to the left by  units is the same as subtracting  from its -coordinate. If the point was initially at , it would be moved to .Also by convention, the positive -axis on a Cartesian plane points upwards. Similarly, Moving a point upwards by  units is the same as adding  to its -coordinate. If the point was initially at , it would be moved to .Moving a point downwards by  units is the same as subtracting  from its -coordinate. If the point was initially at , it would be moved to .In this case, Point  was initially at . is at  after it is moved to the left by  units. That's the same as . is at  after it is moved upward by  units. That's the same as .Therefore, the coordinates of  would be .

Answer:it is 18

Step-by-step explanation:

You do 40=2x+4 then do 40-4 and get 36 then 36/2 is 18

Slope is 4.5 or 9/2

Step-by-step explanation:

y = 4.5 x

∴ Slope, m = 4.5 or 9/2

Answer:

2/4

Step-by-step explanation:

Bonnie and  Maria combined = 1/4 + 2/4 = 3/4

Gracie run = 5/4

=> How much  farther, f, did Gracie run than Bonnie and  Maria combined

= 5/4 - 3/4 = 2/4

So Gracie run 2/4 more than Bonnie and  Maria combined

Answer:

2/4 mile.

Step-by-step explanation:

Given:

Db = 1/4 mile

Do = 3/4 mile

Dg = 5/4 mile

Dm = 2/4 mile

Dt = Db + Dm

= 1/4 + 2/4

= 3/4 mile

= Dg - Dt

= 5/4 - 3/4

= 2/4 mile.

Answer: x=0

Step-by-step explanation:

Answer:

100/Hundreds

Step-by-step explanation:

4 is the thousands -> 4000

1 is the hundreds -> 100

0 is the tens -> 0

5 is the ones -> 6

8 is the tenths -> 0.8

Answer:  100

Answer:

hundreds place

Step-by-step explanation:

When a number is 3 places to the left of the decimal, then it is in the hundreds place. Same thing if it is 3 places to the right of the decimal, only it'll be in the hundredths.

full timers work 5 hours a day whereas Part timers work 3 hours a day!

Step-by-step explanation:

Here we have , The difference in hours between full times and the part timers to work three hours a day is 2 working hours  . We need to find that  how many hours per day to full timers work . Let's find out:

Let full timers work x hours , Part time workers work 3 hours a day , According to question, difference in hours between full times and the part timers to work three hours a day is 2 working hours  i.e.

⇒ [tex]x-3 = 2[/tex]

Adding 3 to make x term alone :

⇒ [tex]x-3+3 = 2+3[/tex]

⇒ [tex]x=5[/tex]

Therefore, full timers work 5 hours a day whereas Part timers work 3 hours a day!

Answer:

I collect 4 rocks and 16 fossils. While my friend collects 12 rocks and 8 fossils.

Step-by-step explanation:

The number of total objects collected by me  = 20

The number of objects collected by my friend  = 20

Let us assume:

The number of rocks collected by me  = m

The number of fossils collected by me  = 2 k

⇒ m +  2 k =  20  .... (1)

So, according to the question:

The number of rocks collected by my friend = 3 x (rocks collected by me)  

= 3 x (m)  = 3 m

The number of fossils collected by my friend = 1/2 x (fossils collected by me)    = 1/2 x (2k )  = k

⇒ 3 m +   k =  20  .... (2)

Solving (1)and (2) for the value of m and k, we get:

m +  2 k =  20     ⇒ m = 20 - 2 k ... Put this in (2)

3 m +   k =  20  ⇒  3 (20 - 2 k) +  k = 20

⇒ 60 - 6 k +  k  = 20

or, - 5k = -40

or, k = 40/5  = 8

⇒ k= 8

m + 2(8)  = 20

or, m = 4

Hence, the number of rocks collected by me  = m = 4

The number of fossils collected by me  =  2 k = 2 (4)  = 16

Hence, the number of rocks collected by my friend   = 3 m  = 3 x 4 = 12

The number of fossils collected by my friend   =   k =  8

Hence, I collect 4 rocks and 16 fossils. While my friend collects 12 rocks and 8 fossils.

You collect 4 rocks and 16 fossils. Your friend collects 12 rocks and 8 fossils.

You and your friend each collect 20 objects. Let's define our variables:

Let R represent the number of rocks you collect. Let F represent the number of fossils you collect.

You collect 20 objects in total:

R + F = 20

Your friend collects three times as many rocks and half as many fossils as you:

Rocks: 3R Fossils: F / 2

Your friend also collects 20 objects in total:

3R + F / 2 = 20

We have two equations:

R + F = 20 and 3R + F / 2 = 20

First, solve equation 1 for F:

F = 20 - R

Next, substitute this into equation 2:

3R + (20 - R) / 2 = 20

Multiply everything by 2 to clear the fraction:

6R + 20 - R = 40

Simplify:

R + 20 = 40

Subtract 20 from both sides:

5R = 20

Divide by 5:

R = 4

Now, substitute R back into the equation for F:

F = 20 - 4

F = 16

Then, 3R= 12 and F/2 = 8

Thus, you collect 4 rocks and 16 fossils.  Your friend collects 12 rocks and 8 fossils.

Answer:

[tex]\large\boxed{x^2-4}[/tex]

Step-by-step explanation:

Here we have a Difference of Two Squares:

[tex](a-b)(a+b)=a^2-b^2[/tex]

[tex]\therefore (x - 2)(x+2)=x^2-4[/tex]

Once the standard form of a polynomial is when terms are ordered from the biggest exponent to the lowest exponent,

The polynomial in standard form is [tex]x^2-4[/tex]

Answer:

  Dee won

Step-by-step explanation:

Using < to mean "finished ahead of ", we are given ...

  B = 3

  D < B

  D < C

  A < C

  D < A

Dee finished ahead of Air, Bart, and Caper, so Dee won the race.

_____

The order of finish must be D, A, B, C.

Answer:

14[tex]\frac{1}{10}[/tex] or [tex]\frac{141}{10}[/tex]

Step-by-step explanation:

Turn your fractions into improper and make them have the same denominator

[tex]\frac{95}{10}[/tex]+[tex]\frac{46}{10}[/tex]=[tex]\frac{141}{10}[/tex]

Leave it as is or simplify to 14 [tex]\frac{1}{10}[/tex]

Answer:

14 1/10

Step-by-step explanation:

Make it to improper fraction

9 1/2 would be 19/2

and 4 3/5 = 23/5

Then to add u have to make the denominators common:

19/2 + 23/5

Both goes common denominator with 20

To make it 20:

(19 × 10/2 ×10) + (23 ×4/5×4)

190 / 20 + 92 / 20

Add those (190 + 92) / 20

282 / 20

Make it to the simplest form:

141 / 10

Then make it mixed fraction:

14 1/10

Answer:

If the ratio is cavities to volume, you need cavities/V where V is some sort of volume.  cm^3 is a volume.

Step-by-step explanation:

Answer:

negative

Step-by-step explanation:

the answer will be negative because one fraction is negative and the other is positive. there is nothing to cancel out the negative sign

Answer:

[tex]\frac{9}{20}[/tex]

Step-by-step explanation:

Step 1:  Simplify

[tex]\frac{45}{100}[/tex]

[tex]\frac{45 / 5}{100/5}[/tex]

[tex]\frac{9}{20}[/tex]

Answer:  [tex]\frac{9}{20}[/tex]

Answer:

[tex]\frac{9}{20}[/tex]

Step-by-step explanation:

means 45/100

the common factors that go into both 45 and 100 is 5

hence divide 45 and 100 by 5

[tex]\frac{45/5}{100/5}[/tex]

= [tex]\frac{9}{20}[/tex]

Answer:

If the hands are at 12 and 3 you would have 1/3

Step-by-step explanation:

At 12 and 3 the hand will take up a third of the clock because at 12 and 3 the clock hands will have a portion of the clock taken up

The fraction of the clock represented when the hands are at 12 and 3 is 1/4.

A fraction is a mathematical term that represents a part of a whole. It is written in the form of a numerator over a denominator, separated by a horizontal line. The numerator represents the part of the whole that is being considered, while the denominator represents the total number of equal parts that make up the whole.

If the hands of a clock are at 12 and 3, then the hour hand is pointing directly at the 3, while the minute hand is pointing directly at the 12.

The fraction of the clock represented by this configuration is the fraction of the total circumference of the clock that is between the 12 and the 3.

Since there are 12 hour markings on a clock face, each hour marking represents 1/12 of the total circumference. Therefore, the distance between the 12 and the 3 is 3/12 or 1/4 of the total circumference.

So, the fraction of the clock represented when the hands are at 12 and 3 is 1/4.

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Answer:

0.32

Step-by-step explanation:

First you divide 2.40 by 30 and then it gives you the cost of each individual piece of candy.then you multiply 4 by that amount.

Answer: The expression is prime and can't be factored with rational numbers.

Step-by-step explanation:

Answer:

I think you meant y^2 + 6y + 8

that is (y + 4)(y + 2)

Step-by-step explanation:

y^3 + 6y + 8 stays the same and cannot be factored

Answer:

The total cost is $34.24.

Step-by-step explanation:

Given : Bob is looking to buy a new baseball cap with his favorite team’s logo on it. He finds one that normally sells for $32. If a 7% sales tax is added.

To find : What is the total cost?

Solution :

The sales price = $32

The tax rate = 7%=0.07

The sales tax is given by,

[tex]\text{Sales tax}=\text{Rate}\times \text{Price}[/tex]

[tex]\text{Sales tax}=0.07\times 32[/tex]

[tex]\text{Sales tax}=2.24[/tex]

Now, adding to sales price

Total cost = 32+2.24

Total cost = $34.24

Therefore, the total cost is $34.24.

Step-by-step explanation:

Given is a 45°-45°-90 ° angled triangle.

By 45°-45°-90 ° angled triangle theorem:

side opposite to 45° angle is [tex] \frac{1}{\sqrt 2} [/tex] times of hypotenuse.

[tex] \therefore \: 7 = \frac{1}{ \sqrt{2} } \times m \\ \\ \huge \red{ \boxed{\therefore \: m \: = 7 \sqrt{2} \: units}} \\ \\ n \: = \frac{1}{ \sqrt{2} } \times m \\ \\ \therefore \:n \: = \frac{1}{ \sqrt{2} } \times 7 \sqrt{2} \\ \huge \purple{ \boxed{\therefore \:n \: = 7 \: units}} \\ [/tex]

Answer:

35.

So that we have:

KLN = 54          JKN =36

LKN = 72          NMJ = 18

KNM = 126       JLM = 72

LJM = 90          KLM = 126

36.

CE = 6√13

37.

m∠Z = 88°

38.

m∠GFE = 85

Step-by-step explanation:

35.

As KLMN is a kite:

+) KL = KN

=> Triangle KLN is  an isosceles triangle.

=> m∠KLN = m∠ KNL = m∠KNJ = 54°

In triangle KLN, total measure of three internal angles are 180 degree, so that: m∠KLN + m∠ KNL + m∠ LKN = 180°

=> 54 + 54 + m∠ LKN = 180°

=> m∠ LKN = 180 - 54 - 54 = 72°

+) KM is the bisector of both Angle LKN and Angle LMN

So that we have:

+) KM and LN is perpendicular to each other at point J

=> m∠LJM = 90°

+) m∠KLM = m∠KNM; m∠KLM + m∠KNM + m∠LKN + m∠LMN = 360°

=> m∠KLM + m∠KLM + 72 + 36 = 360

=> 2 m∠KLM = 360 - 72 - 36 = 252

=> m∠KLM = 252/2 = 126 = m∠KNM

+) We have: m∠KLM = m∠KLN + m∠JLM

=> m∠JLM = m∠KLM - m∠KLN = 126 - 54 = 72

36.

As BCDE is a kite, we have:

+) BC = BE; CD = DE = 21

+) BD is perpendicular to CE and intersect each other point F

=> Angle CFD = 90

=> Triangle CFD is the right triangle

According to Pythagoras theorem: CF^2 + DF^2 = CD^2

=> CF^2 = CD^2 - DF^2  = 21^2 - 18^2 = 441 - 324 = 117

=> CF = [tex]\sqrt{117} =3\sqrt{13}[/tex]

+) According to the feature of a kite shape, F is midpoint of CE

=> CF = FE = 1/2 x CE

=>CE = 2 x CF = 2 x [tex]3\sqrt{3} = 6 \sqrt{13}[/tex]

So that CE = 6√13

37.

As given, WXYZ is a kite shape.

According to the feature of a kite shape, angle ZWX and angle ZYX are equal to each other.

=> ∠ZWX = ∠ZYX

=> 8x -23 = 6x +11

=> 8x - 6x = 11 + 23

=> 2x = 34

=> x = 34/2 = 17

=> ∠ZWX = 8x - 23 = 8*17 - 23 = 113°

=> ∠ZWX = ∠ZYX = 113°

As WXYZ is a kite shape, so that total measure of 4 internal angles of it are 360 degree

So that we have:

∠Z + ∠ZWX + ∠ZYX + ∠WXY = 360

=> ∠Z + 113 + 113 + 46 = 360

=> ∠Z = 360 -113 -113-46 = 88°

So that the measure of ∠Z is 88°

38.

As GDEF is a kite shape. As we can see, GE is the longer diagonal, so that it is the bisector of both Angle DGF and Angle DEF.

H is on GE and GE is the bisector of Angle DEF, so we have:

m∠HEF = m∠GEF = 1/2. m∠DEF = 1/2 . (12x- 16)= 6x - 8

As GDEF is a kite shape so that the two diagonals DF and GE are perpendicular to each other, so that: m∠EHF = 90

In the triangle EHF, m∠EHF = 90

=> EHF is a right triangle

=> m∠HEF + m∠EFH = 90

=> 6x - 8 + 3x -1 = 90

=> 9x = 90 + 8 + 1 = 99

=> x = 99/9 =11

=> m∠HEF = 6x - 8 = 6*11 - 8 = 58 = m∠GEF

GE is the bisector of both Angle DGF

=> m∠EGF = 1/2. m∠DGF = 1/2 . 74 = 37

In the triangle GEF, total measure of three internal angles are 180

=> m∠GFE + m∠EGF + m∠GEF = 180

=> m∠GFE + 37 + 58 = 180

=> m∠GFE = 85

a collision damage waiver

Josh have to use Collison Damage waiver.

Managing your risk is possible with insurance. You purchase protection against unforeseen financial losses when you purchase insurance. If something unpleasant happens to you, the insurance company pays you or someone else of your choosing.

Collision damage waiver (CDW), often known as car rental insurance, releases a car renter from responsibility for all or some accident-related damage to a rental car.

If you are struck by a driver without auto insurance, you are protected by uninsured motorist coverage.

No fault insurance can assist in paying your medical costs and lost wages in the event of a covered accident, regardless of who was at fault.

So, Josh have to use Collison Damage waiver.

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Answer:

q/2=14

Step-by-step explanation:

Half of q is q/2

We know that it is 14

So, q/2=14

Answer:

63ft

Step-by-step explanation:

area=basexheight so 7x9 which is 63

Answer:

interest is $255

Step-by-step explanation:

Answer:$255

Step-by-step explanation:

Principal(p)=$1000

Rate(r)=8.5%

Time(t)=3years

Simple interest(SI)=?

SI=(pxrxt)/100

SI=(1000x8.5x3)/100

SI=25500/100

SI=$255