simplify the expression -2-17+12-(-4)

The rate in miles per gallon will be 45 miles per gallon. Then the correct option is D.

Conversion means to convert the same thing into different units.

In a test, a hybrid car drove 619 yards on 1 fluid ounce of gasoline.

We know that 1 yard = 1/1760 miles. Then we have

619 yards = 619 x 1 / 1760 miles

We know that 1 fluid ounce = 1 / 128 gallons

The rate in miles per gallon will be

R = (619 / 1760) / (1 / 128)

R = 619 x 128 / 1760

R = 45 miles per gallon

The rate in miles per gallon will be 45 miles per gallon. Then the correct option is D.

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Answer:

x = [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{3}[/tex] + [tex]\frac{1}{3}[/tex] x = 2x

Multiply through by 3 to clear the fractions

2 + x = 6x ( subtract x from both sides )

2 = 5x ( divide both sides by 5 )

[tex]\frac{2}{5}[/tex] = x

Answer:     x=2/5

Step-by-step explanation:

Trust me

Answer:

16

Step-by-step explanation:

If we plug in all the variables, we get 2(3+5)

Evalutation: 2(3+5)=2(8)=16

So the value is 16

Hope this helped!

Answer:

16

Step-by-step explanation:

a =2

b = 3

c =5

a(b +c)

2(3+5)

2x3 + 2x5

6 + 10

16

Answer:

3 3/4

Step-by-step explanation:

Answer:

15/4

in order to simplify you need to find the gcf (greatest common factor) and divide by that number on both numerator and denominator, since two is the gcf, 15/4 is the answer

Answer:

answer is b

Step-by-step explanation:

look at picture shown

Answer: you still need help? let me know okay UwU

Step-by-step explanation:

When solving graphically ,which system of equations will have exactly one point of intersection.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Let consider an example.

Consider the slope-intercept form of equations: y = -6x+8  and y=-3x-4

Since the slopes are different, the lines must intersect.

Because the lines intersect at a point, there is one solution to the system of equations the lines represent.

Hence, when solving graphically, the linear system of equations will have exactly one point of intersection.

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Answer:

1)m<DCH =89

2)m<BCD=103

Step-by-step explanation:

1) We have that:

m<EFB=91 degree.

We want to find m<DCH.

By same side interior angle property:

m<DCH +m<EFB=180

m<DCH +91=180

m<DCH=180-91

m<DCH =89

2) Given that: m<HFG=103, we seek to find m<BCD.

By the alternate exterior angle property:

m<HFG=m<BCD

Therefore

m<BCD=103

Therefore $754.94 will be in account after 15 years.

Step-by-step explanation:

Given , Sarah opens a saving account that has a 2.75% annual interest rate , compounded monthly. She deposits $500 into the account.

P = $500, r = 2.75% = 0.0275 , t = 15 years and n= 12

[tex]Amount (A) =P(1+\frac{r}{n})^{nt}[/tex]

                 [tex]=\$500(1+\frac{0.0275}{12})^{(12\times15)}[/tex]

                  =$754.94

Therefore $754.94 will be in account after 15 years.

After 15 years with a 2.75% annual interest rate, compounded monthly, an initial deposit of $500 in a savings account will grow to approximately $754.94.

The student has asked how much money will be in a savings account after 15 years with an initial deposit of $500 if the account has a 2.75% annual interest rate, compounded monthly. To calculate the future value of this account, we can use the compound interest formula:

A = P (1 + r/n)^(nt)

Where:

Here, P is $500, r is 0.0275 (2.75% expressed as a decimal), n is 12 (since the interest is compounded monthly), and t is 15 years.

So, the calculation is:

A = $500 * (1 + 0.0275/12)^(12*15)

By computing this, we can determine the future value of the savings account after 15 years:

A ≈ $500 * (1 + 0.00229167)^(180)

A ≈ $500 * (1.00229167)^180

A ≈ $500 * 1.510383954

A ≈ $754.94

Therefore, the amount in the savings account after 15 years will be approximately $754.94.

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, [tex]18 inches = 1.5 ft[/tex]

Thus, the length of the rug is [tex]l=1.5+w[/tex]

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

[tex]A=length\times width[/tex]

[tex]10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0[/tex]

Solving the expression using the quadratic formula,

[tex]$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$[/tex]

Substituting the values, we have,

[tex]$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\[/tex]

[tex]$w=\frac{-15 \pm \sqrt{4225}}{20}$[/tex]

[tex]$w=\frac{-15 \pm 65}{2 0}$[/tex]

Thus,

[tex]w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5[/tex]  and   [tex]w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4[/tex]

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting [tex]w=2.5[/tex] in [tex]l=1.5+w[/tex], we get,

[tex]l=1.5+2.5\\l=4[/tex]

Thus, the length of the rug is 4 ft.

It's A

length 4 and width 2.5

The answers is 2,200

Answer:

2600

Step-by-step explanation:

first you would round them to the nearest hundred. this means that if the figure in the tens column is greater than or equal to 5 you would round up. if it is less than 5 you round down

so 1400+400+800=

then you would add them up

so 1400+400+800=2600

1400+400=1800

1800+800=2600

Answer: 18/40 and 27/60

Step-by-step explanation:

Multiply the numerator and denominator by whatever number it needs to be multiplied by

9*2 to get 18

20*2 to get 40

9*3 to get 27

20*3 to get 60

Answer: A. Subtract 6 from 18

The average speed calculated over the given time intervals is

Given formula is y = 54t - 1.86t²

Speed = dy/dt = 54 - 3.72t

a) Average speed over the time intervals given below are:

b) When t = 1, the speed is v = 50 - (3.72*1) = 50.28 m/s

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Answer:

When you use 2 GB

Step-by-step explanation:

Data Plan a Formula 35(12p)

P = per GB

Data Plan B 25(17p)

Set each on equal to each other

Please Check my work, but I think this is on the right track.

The costs for both the data plans A and B will be the same for 2GB of data. The cost for each plan will be $59.

This problem is essentially asking us to find the number of gigabytes (GB) at which both data plans A and B cost the same. We can form two equations representing the costs of the plans. For plan A, the cost is $35 + $12 per GB. For plan B, the cost is $25 + $17 per GB. We can express these costs mathematically as: 35+12x=25+17x (where 'x' is the number of gigabytes). By solving this equation for 'x', we subtract 25 from both sides and also subtract 12x from both sides, which gives us 10 = 5x. Dividing by 5 from both sides give us x = 2 GB. So, for 2GB of data, the costs for both the data plans will be the same and the cost for each plan is $35 + 12(2) = $59 for plan A and $25 + 17(2) = $59 for plan B.

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Answer:

24/1

Step-by-step explanation:

Answer:

The approximate total cost for the blanket is $10.08 ⇒ B

Step-by-step explanation:

The formula of the area of a rectangle is A = L × W

The formula of the perimeter of a rectangle is P = 2(L + W)

where:

∵ The baby blanket shaped a rectangle

∵ The dimensions of the blanket are 3 feet and 5 feet

- Find the area of the blanket

∵ A = 3 × 5 = 15 feet²

- Change feet to yard because the cost is by square yard

∵ 1 foot = [tex]\frac{1}{3}[/tex] yard

∴ 1 foot² = [tex](\frac{1}{3})^{2}=\frac{1}{9}[/tex] yard²

∴ 15 feet² = 15 × [tex](\frac{1}{9})[/tex] = [tex]\frac{5}{3}[/tex] yards²

∴ The area of the blanket is  [tex]\frac{5}{3}[/tex] yards²

∵ The fabric cost of the blanket is $1.25 per square yard

∴ The fabric cost =  [tex]\frac{5}{3}[/tex] × 1.25

∴ The fabric cost = 2.08333 dollars

∵ Heather is going to put a ribbon border around it

- The length of the ribbon is equal to the perimeter of the blanket

∵ P = 2(3 + 5) = 16 feet

∴ The length of the ribbon is 16 feet

∵ The cost of the ribbon is $0.5 per foot

∴ The cost of the ribbon = 16 × 0.5

∴ The cost of the ribbon = 8 dollars

Now add the fabric cost to the ribbon cost to find the total cost of the blanket

∵ The total cost = 2.08333 + 8

∴ The total cost = 10.08333

- Round it to the nearest cent

∴ The total cost = 10.08 dollars

The approximate total cost for the blanket is $10.08

Answer:

18 dimes and 9 nickels

Step-by-step explanation:

I assume you mean twice as many dimes "then" nickels which would make it 18 dimes = 1.80$ 9 nickels=0.45$

Answer:

1.) C

2.) C

3.) D

4.) D

5.) C

Step-by-step explanation:

1.) Each coin has two possible outcomes, and they are two coins in total.

2 (outcomes) x 2 (coins) = 4 possible outcomes

*hint: Look at the 1st column of the diagram and count how many branches come from it

*another hint: The branches are equal to the number of H's and T's in the 2 Column (4 branches or 4 possible outcomes)

2.) Each coin has two possible outcomes, and they are three coins in total.

2 (outcomes) x 3 (coins) = 6 possible outcomes

*hint: Look at the number of branches coming from 3 of the H's and T's in the 2nd column. (6 total branches or possible outcomes)

3.) They are 3 different types of phones, and 3 different types of cases.

3 (phones) x 3 (cases) = 9 possible combinations

{4R,4B,4C,5R,5B,5C,6R,6B,6C,}

*hint: Count 3 cases for each phone and add them (9 total)

4.)Each Dice has 6 sides (cube) and there are 2 Dice. But Each side gets paired with another side, so

6 (sides) x 6 (sides) = 36 possible outcomes

A - Shows outcomes for 1 Dice

B - Shows sum for both Dice

C - Shows some possible combinations when they are both the same number

D - Shows some more possible combinations including those when both dice are not the same number

D Appears to be the best answer as it has more details

5.) 2 Types of bottom wear (shorts or jeans),  3 Types of shirts (red, blue, green) and 2 Types of shoes (flip flops or tennis shoes).

2 (bottom) x 3 (top) x 2 (feet) = 12 possible combinations

*hint: For each bottom wear (shorts or jeans) there are 6 possible combinations so multiplying by two will give you the amount for each one.

Answer:

2 is 8 :)

Step-by-step explanation:

Step-by-step explanation:

Given, the chipmunks dropped an acron from the top of a tree. The acron was 0.25 kg and had a velocity of 4 m/s when it hit ground.

Kinetic energy =[tex]\frac{1}{2} m v^2[/tex]

Here m = 0.25 kg and v =4 m/s

Kinetic energy of the acron had =[tex]\frac{1}{2}\times 0.25 \times 4^2[/tex] J

                                                    = 2 J

The kinetic energy of the Chipmunk is 2 Joules.

Kinetic energy is the energy than an object possesses due to its motion. It is given by:

Kinetic Energy(KE) = (1/2)mv²

Where m is mass, v is velocity.

Given that m = 0.25 kg, v = 4 m/s, hence:

KE = (1/2)mv²

KE = (1/2) * 0.25 * 4² = 2J

The kinetic energy of the Chipmunk is 2 Joules.

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The equation to find David’s hourly wage is:

David’s hourly wage =  [tex]\frac{1}{2}[/tex] x + 1.75, where x represents Amelia’s hourly wage

Step-by-step explanation:

The given is:

Amelia’s hourly wage is $3.50 less than double David’s hourly wage

We need to find an equation to find David’s hourly wage

Assume that:

∵ Amelia’s hourly wage is $3.50 less than double David’s

   hourly wage

- That means multiply David’s hourly wage by 2, then

    subtract 3.50 from the product to get Amelia’s hourly wage

∴ x = 2y - 3.50

Now let us find y in terms of x

∵ x = 2y - 3.50

- Add 3.5 to both sides

∴ x + 3.50 = 2y

- Divide each term by 2

∴ [tex]\frac{1}{2}[/tex] x + 1.75 = y

- Switch the two sides

∴ y =  [tex]\frac{1}{2}[/tex] x + 1.75

∵ y represents David’s hourly wage

∴ David’s hourly wage =  [tex]\frac{1}{2}[/tex] x + 1.75, where x represents

   Amelia’s hourly wage

The equation to find David’s hourly wage is:

David’s hourly wage =  [tex]\frac{1}{2}[/tex] x + 1.75, where x represents Amelia’s hourly wage

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Step-by-step explanation:

Given,

The height of a rectangular prism(h) =  3 in and

The perimeter of a rectangular prism =  88 in

To find, the base of a rectangular prism(b) = ?

We know that,

The perimeter of a rectangular prism = 2l + 2b or 2b + 2h or 2h + 2l

∴ 2b + 2(3) = 88

⇒ 2b = 88 - 6

⇒ 2b = 82

⇒ b = 41 in

Thus, the base of a rectangular prism(b) = 41 in.

Answer:

Option C. 11

Step-by-step explanation:

If a point P lies on an ellipse, The sum of distances between the point p and the foci will be equal the major axes.

So, applying the previous rule to the problem

The red line + the blue line = major axis

6 + the blue line = 17

So, the blue line = 17 - 6 = 11

The answer is option C. 11

After the second day of their road trip, the Murphy family has

9/20 or 45% of the total distance left to travel.

To solve this problem, let's denote the total distance of the trip as $D$.

On the first day, the Murphy family travelled 30% of the total distance, which can be written as:

[tex]\[ 0.30 \times D = \frac{30}{100} \times D = \frac{3}{10} \times D \][/tex]

On the second day, they travelled another 1/4 of the total distance, which is: [tex]\[ \frac{1}{4} \times D \][/tex]

The total distance travelled after two days is the sum of the distances travelled on the first and second days: [tex]\[ \frac{3}{10} \times D + \frac{1}{4} \times D \][/tex]

To add these fractions, we find a common denominator, which is 20:

[tex]\ total \ distance \ travelled =6/20D+5/20D[/tex]

[tex]\ total \ distance \ travelled =11/20D[/tex]

The remaining distance after the second day is:

Distance left=D−Total distance travelled

[tex]Distance \ left=D-11/20D[/tex]

[tex]Distance \ left=20/20 D-11/20D[/tex]

[tex]Distance \ left=9/20D[/tex]

Express the fraction and percentage of the distance left:

Fraction of the total distance left:

Fraction= Distance left/D

[tex]Fraction=9/20D/D=9/20[/tex]

After the second day, the Murphy family has 9/20 of the total distance left.​

Percentage of the total distance left:

Percentage= Distance left/D×100%

[tex]Percentage= 9/20D/D*100%[/tex]

[tex]Percentage=9/20*100%[/tex]

[tex]Percentage=45[/tex]

Therefore, after the second day of their road trip, the Murphy family has

9/20 or 45% of the total distance left to travel.

Answer:

Step-by-step explanation:

Subtract  

6 u  from  2 u .

− 4 u + 9 = 19

Move all terms not containing  u  to the right side of the equation.

− 4 u = 10

Divide each term by  − 4  and simplify.

u = −  [tex]\frac{5}{2}[/tex]

The result can be shown in multiple forms.

Exact Form:

u = −  [tex]\frac{5}{2}[/tex]

Decimal Form:

u =− 2.5

Mixed Number Form:

u = −  2 [tex]\frac{1}{2}[/tex]

The product of 9.42 and 6.83 is found by direct multiplication, which is not listed in the reference provided. The correct answer, using standard multiplication, is approximately 64.355 when rounded to three decimal places.

To calculate the product of 9.42 multiplied by 6.83, we use the multiplication method that is taught in mathematics. Multiplying these two numbers together is a straightforward process:

9.42 × 6.83

This calculation is something we can easily undertake with a calculator or by using the long multiplication technique. Neither of the reference information provided lists this specific product, so to ensure accuracy, we would perform the calculation directly. The correct solution is not provided in the data set above.

The answer to 9.42 multiplied by 6.83 is approximately 64.355 when rounded to three decimal places.

Answer:

14

Step-by-step explanation:

Replace n with 1/2

5(1/2 + 3) -7(1/2)

17.5 - 3.5

=14

So, n=14

Answer:

14

Step-by-step explanation:

5(n + 3) -7n

putting value of n

5(1/2 + 3) - 7/2

5(0.5 + 3) - 3.5

5(3.5) - 3.5

17.5 - 3.5

14

Answer:

0.45

Step-by-step explanation:

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