Mr. Baker is driving 100 miles. His average speed, to the nearest 2 miles per hour, is 56 miles per hour. What is the range of possible values

for t, the total time of the drive in hours?

A

1.79
B

1.72 < t < 1.85

с

1.72
1.75 < t < 1.82

Answers

Answer 1

Answer:

1.72 ≤ t ≤ 1.85

Step-by-step explanation:

Given :

Distance = 100 miles ;

Speed = 56 miles per hour, to the nearest 2 miles per hour

Hence, the speed range is :

(56 - 2) mph ; (56 + 2) mph

Range of possible Time taken, t :

Distance / speed ;

100 / 58 ≤ t ≤ 100 / 54

1.72 ≤ t ≤ 1.85


Related Questions

Name the marked angle in 2 different ways.

Answers

Answer:

∠GIH or ∠HIG

Explanation:

Just make sure the vertex of the angle is the middle letter. In this case, it is I.

please help :DDDDDDD

Answers

Answer:

B 5/6 * -11/-7

Step-by-step explanation:

-5 / -7 = 5/7

-11/-6 = 11/6

Multiply

5/7 * 11/6

Rewriting

5/6 * 11/7

We can make  the 11 and the 7 negative (-11/ -7 = 11/7)

5/6 * -11/-7

Escribe un número de tres cifras digamos a1b1c1, en el cual a1 sea distinto de c1; ahora invierte los dígitos a1 y c1, (obtendrás el número c1b1a1 ); resta el número menor al número mayor, es decir a1b1c1 - c1b1a1 o bien c1b1a1 - a1b1c1, obtendrás como resultado un número de tres cifras, digamos a2b2c2 (es posible que a_2=0 ); invierte los dígitos a_2 y c_2. Finalmente suma los números a2b2c2 y c2b2a2 . ¿Qué número obtuviste?

Answers

Answer:

El número obtenido es:

1089.

Step-by-step explanation:

Vamos a escoger tres números sencillos para cada variable como:

a1 = 1b1 = 2c1 = 3

Por lo tanto, nuestro número de tres cifras es:

123 (la única pauta es que a1 sea diferente a c1 y con este número la cumplimos)

Ahora, nos dice que invirtamos los números a1 y c1, por lo tanto, nuestro nuevo número de tres cifras sería:

321

A continuación, nos menciona que restemos el menor del mayor, en este caso, nuestro número menor es 123 y el mayor es 321, por lo tanto:

321 - 123 = 198 (Este resultado será el mismo sin importar cuáles números elijas para el ejercicio)

Como obtuvimos el número 198, se podría decir que:

a2 = 1b2 = 9c2 = 8

Ahora nos piden que invirtamos a2 y c2, por lo tanto nuestro nuevo número sería:

891

Y por último, nos solicita que sumemos los dos últimos números obtenidos, entonces tenemos:

891 + 198 = 1089

Por lo tanto, el número obtenido al final es 1089, el cual obtendrás sin importar qué número de tres cifras elijas al inicio, siempre y cuando no se repitan el primero y el tercer dígito.

Simple interest I in dollars is calculated using the formula I=prt. Here, p represents the
principal, or amount, in dollars that is invested or borrowed; r represents the annual
interest rate, expressed as a percent; and t represents time, in years. Find the value of
the remaining variable in the simple interest formula. (Hint: Write percents as decimals.)
1 = $1080, r = 4%, t = 3 years

Answers

Answer:

129.6

Step-by-step explanation:

In a street of 72 dwellings, 5/12 are bungalows. The rest are two-storey houses. Half of the bungalows are detached and 2/7 of the houses are detached. What fraction of the 72 dwellings are detached?

Answers

Answer:27/ 72 or 3/8

Step-by-step explanation:

Trust me

b / -7 = 4

solve question correctly

Answers

Answer:

b/-7=4

b=4*-7

b= - 28

Step-by-step explanation:

If this helps you mark as brainlist.!

Answer: -28

Variable/unknown - B

Numbers we know: -7 and 4.

How to solve: Use inverse division. The inverse of division is multiplication.

7 has a negative sign. However, 4 is positive.

N + P = N

P + N = N

Rules of integers:

If both the signs of the two numbers are the same, it will be positive.If both the signs of the two numbers are different, it will be negative.

-7 is negative.

4 is positive.

Formula: N + P = N

-7 x 4 = -28

Final answer: -28

Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)

Part B: The area of a rectangle is (25x2 − 16y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answers

Answer:

A. (3x-2)^2

B. 5x-4y

5x=4y

Step-by-step explanation:

The base of a triangle is 20m and its area is 250m.What is the height of the triangle

Answers

Answer:

the height of the triangle is 25

Answer:

height = 25 m

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here A = 250 and b = 20 , then

[tex]\frac{1}{2}[/tex] × 20 × h = 250 , that is

10h = 250 ( divide both sides by 10 )

h = 25 m

Please, can I get help?

Answers

Answer:

a- 14,11

b-13,63

Step-by-step explanation:

Which of the following is the solution set for -3t + 11 > 20?

t < 3
t > 3
t < -3
t > -3

Answers

Answer:

t < -3

Step-by-step explanation:

-3t + 11 > 20

subtract 11 from both sides

-3t > 9

Divide both sides by -3

when multipying or dividing by a negative the inequality must be reversed

t < -3

The Marked price of a jacket at a dealer's shop is 2400. The dealer allows a discount of 15% to the retailer. As the company's policies the marked price of the retailer should be the same as the dealer's marked price. What SP should the retailer fix for the jacket? What would its final price be if 10% VAT is imposed? What would be the actual gain of retailer?
Ans
2280,2502,240​

Answers

Answer:

2400

2640

360

Step-by-step explanation:

I am not sure the description is totally clear.

my assumptions are (based on my interpretations of the text) :

the retailer buys from the dealer with 15% discount.

but the retailer has to sell the jacket for the same price as the dealer.

so, both mark the sale price as 2400.

if the customer buys from the retailer, the retailer makes 15% profit (the discount he got from the dealer).

15% = 2400 × 15/100 = 24 × 15 = 360

the retailer makes this profit no matter what other fees or taxes are added.

if the customer buys from the dealer, the dealer makes these 15% and some more (we don't know how much) profit.

now, the final price is to include also 10% VAT

100% = 2400

1% = 2400 / 100 = 24

10% = 24 × 10 = 240

so,

final price = SP + VAT = 2400 + 240 = 2640

what is the domain of the function represented by the graph

Answers

Answer:

Domain:  all real numbers

Step-by-step explanation:

The domain is the values that x can take

X can be any real number

Domain:  all real numbers

Algebra 2 Problem! Rational Roots

Answers

Answer:

este no hablo inglés

Which 2 options are correct?

Answers

Answer:

A,C

Step-by-step explanation:

i took the test

A = (-123) + 77 + (-257) + 23 – 43

Answers

Answer:

[tex]A=-323[/tex]

Step-by-step explanation:

A = (-123)+77+(-257)+23-43

A = -46+(-257)+23-43

A = -303+23-43

A = -280-43

A = -323

Hope this helps

Which is the graph of y – 3 =-2/3 (x + 6)?

Answers

Answer:

see graph below

Use the tax table to help answer the following question.
A 9-column table with 7 rows is shown. Column 1 is labeled If the wages are at least with entries 720, 740, 760, 780, 800, 820, 840. Column 2 is labeled But less than with entries 740, 760, 780, 800, 820, 840, 860. Column 3 is labeled And the number of withholding allowances is 0, the amount of income tax withheld is, with entries 80, 83, 86, 89, 92, 95, 98. Column 4 is labeled And the number of withholding allowances is 1, the amount of income tax withheld is, with entries 62, 65, 68, 71, 74, 77, 80. Column 5 is labeled And the number of withholding allowances is 2, the amount of income tax withheld is, with entries 44, 47, 50, 53, 56, 59, 62. Column 6 is labeled And the number of withholding allowances is 3, the amount of income tax withheld is, with entries 26, 28, 31, 34, 37, 40, 43. Column 7 is labeled And the number of withholding allowances is 4, the amount of income tax withheld is, with entries 14, 16, 18, 20, 22, 24, 26. Column 8 is labeled And the number of withholding allowances is 5, the amount of income tax withheld is, with entries 1, 3, 5, 7, 9, 11, 13. Column 9 is labeled And the number of withholding allowances is 6, the amount of income tax withheld is, with entries 0, 0, 0, 0, 0, 0, 1.
Luce is single and making $763 biweekly. She claims no federal withholding allowances. If the state tax is 19% of the federal tax, how much in state tax does Luce contribute? a.
$12.92
b.
$15.13
c.
$15.77
d.
$16.34

Answers

Answer: d. $16.34

Step-by-step explanation:

The table shows that if the wages are between 760 and 780 and there are no withholding allowances, the federal tax is $86.

Luce therefore has a federal tax of $86 as she falls in the bracket described.

If state tax is 19% of this, state tax is:

= 19% * 86

= $16.34

The amount of state tax which is contributed by the Luce for the no federal withholding allowances is $16.34.

What is federal income tax?

Federal income tax is the tax which is used to develop and run the city or country and charged on the citizen residing there  .

A 9-column table with 7 rows is given in the prooblem.

Luce is single and making $763 biweekly. She claims no federal withholding allowances.

This amount is come between the values of $760 and $780.  If we look into the table provided into the problem, the federal tax for this slab is $86.  

Now the state tax is 19% of the federal tax. Thus, the 19 percent of the federal tax $86 is,

[tex]\rm tax=86\times\dfrac{19}{100}\\tax=16.34[/tex]

Thus the amount of state tax which is contributed by the Luce for the no federal withholding allowances is $16.34.

Learn more about the federal income tax here;

https://brainly.com/question/25504589

plz help me I will give u branist and follow u and also give u like plz help me​

Answers

Answer:

2166.53

Step-by-step explanation:

a = 10,000(1.04)⁵

a = 12,166.53

12,166.53 - 10,000 = 2166.53

what is the examole of equal set ? ​

Answers

Answer:

Two sets are equal, if they have exactly the same elements. Example: {a, c, t} = {c, a, t} = {t, a, c}, but {a, c, t} ≠ {a, c, t, o, r}. Example: {x : x is a letter in the word “book”} = {b, o, k}, but {b, o, k} ≠ {b, o, t}.

Step-by-step explanation:

What is the value of x in the equation 6 +4x = 7

Answers

Answer:

x = - [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given

6 + 4x = 7 ( subtract 6 from both sides )

4x = 1 ( divide both sides by 4 )

x = [tex]\frac{1}{4}[/tex]

Answer:

x = 1/4

Step-by-step explanation:

6 +4x = 7

collect terms

4x = 7 - 6

4x = 1

Divide both sides by 4

x = 1/4

Bye ! :-)

The picture is above I’ll mark as brainliest.

Answers

Answer:

22

Step-by-step explanation:

P=(8*2)+(3*2)

16+6=22

Answer:

22 inches

Step-by-step explanation:

Perimeter = 8 + 3 + 8 + 3

= 22 inches

Using the image above, which of the following are opposite rays?
Select one:
LQ and PQ
LP and QP
QP and PL
PL and PQ

Answers

Answer:

The answer is LP and QP, and PL and PQ.

Step-by-step explanation:

Do you want to know from where I got the answer?

I got this answer from an app called Gauthmath where I found the solution for it direct from the tutor, which is right in most cases. You can check the app at Play Store and App Store.

Hope this helps.

The present ages of hero and hero in the ratio 3 is to 4 5 years from now their ratio of their ages will be 4 is 25 find the present ages

Answers

Answer:

Presently; Veeru is 15 and Neeru is 20

Step-by-step explanation:

Given

See comment for proper format of question

Let their present ages be x and y

So:

[tex]x : y = 3 : 4[/tex]

5 years time, the ratio will be:

[tex]x + 5: y + 5= 4 : 5[/tex]

Required

Their present ages

Express both ratios as fractions

[tex]x : y = 3 : 4[/tex] becomes

[tex]\frac{x}{y} = \frac{3}{4}[/tex]

and

[tex]x + 5: y + 5= 4 : 5[/tex] becomes

[tex]\frac{x+5}{y+5} = \frac{4}{5}[/tex]

Make x the subject in: [tex]\frac{x}{y} = \frac{3}{4}[/tex]

[tex]x = \frac{3}{4}y[/tex]

[tex]x = 0.75y[/tex]

Cross multiply in [tex]\frac{x+5}{y+5} = \frac{4}{5}[/tex]

[tex]5(x + 5) = 4(y + 5)[/tex]

Substitute [tex]x = 0.75y[/tex]

[tex]5(0.75y + 5) = 4(y + 5)[/tex]

Open brackets

[tex]3.75y + 25 = 4y + 20[/tex]

Collect like terms

[tex]3.75y -4y = -25 + 20[/tex]

[tex]-0.25y = -5[/tex]

Divide by -0.25

[tex]y = 20[/tex]

Substitute [tex]y = 20[/tex] in [tex]x = 0.75y[/tex]

[tex]x = 0.75 * 20[/tex]

[tex]x = 15[/tex]

Please help me on this question

Answers

Answer:

√20

Or

2√5

Step-by-step explanation:

It is very easy just substitute

It will be:

simplify  ( √ 5 ) ( 3 √ 5 )

Answers

Answer:

[tex]5^\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{5}[/tex] can be represented as [tex]5^{\frac{1}{2}}[/tex] and [tex]\sqrt[3]5}[/tex] can be represented as [tex]5^{\frac{1}{3}}[/tex]. Therefore, the expression can be rewritten as:

[tex]5^{\frac{1}{2}}*5^{\frac{1}{3}}[/tex]

The rule for multiplying two exponents with the same base is you add the exponents. For example: [tex]x^m*x^k=x^{m+k}[/tex]

We can use the same property to get:

[tex]5^{\frac{1}{2} +\frac{1}{3}}[/tex]

which is just [tex]5^\frac{5}{6}[/tex] after you add the fractions

James inherited 19.5hectares of land from his father. The area of the land he inherited is 65% of the total land his father owned. Calculate the total area of the land that his father owned​

Answers

Answer:

30 hectares

Step-by-step explanation:

Answer:

Step-by-step explanation:

Land area James inherited = 19.5 hectares

The area of the land he inherited is 65% of the total land his father owned.

Let

x = Total land his father owned

Land area James inherited = 65% of the total land his father owned

19.5 = 65% of x

19.5 = 65/100 * x

19.5 = 0.65 * x

19.5 = 0.65x

x = 19.5 / 0.65

x = 30

x = Total land his father owned = 30 hectares

1521 milliliters equals to how many liters??

Answers

Answer:

It is 1.521 Liters

Step-by-step explanation:

Which of the following is a solution to the quadratic equation below?
X2 + 14x +45=0
O A. 4
O B. -9
O C. 15
O D. 59

Answers

Answer:

B. -9

Step-by-step explanation:

X² + 14x +45=0

(x+9)(x+5)=0

x = -9 or x = -5

x = -9 is the answer

Answer:

B. -9

Step-by-step explanation:

X^2 + 14x +45=0

Factor

What two numbers multiply to 45 and add to 14

5*9 = 45

5+9 = 14

(x+5)(x+9) = 0

Using the zero product property

x+5 =0  x+9=0

x+5-5 =0-5    x+9-9 = 0-9

x = -5            x=-9

square root of 129 is greater than, less than or equal to 95/8?​

Answers

√129 is less than [tex] \frac{95}{8} [/tex].

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

Let us first solve for √129.

➝[tex] \:\sqrt{129} [/tex]

➝[tex]\:11.3578[/tex]

Now,

➝[tex]\: \frac{95}{8} [/tex]

➝[tex]\:11.875[/tex]

Clearly,

➵[tex]\:11.3578 < 11.875[/tex]

➵[tex]\: \sqrt{129} < \frac{95}{8} [/tex]

Hence, √129 is less than [tex] \frac{95}{8}[/tex].

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}[/tex]

find the value of x. round to the nearest tenth.

Answers

Answer:

x = 26.4

Step-by-step explanation:

Hi there!

What we need to know:

Basic trigonomic ratios (θ is the reference angle):

Sine θ = opposite / hypotenuseCosine θ = adjacent / hypotenuseTangent θ = opposite / adjacent

Given the diagram, we can see that the reference angle is x. We are also given the hypotenuse (9) and the opposite side length (4). With the opposite and the hypotenuse, we know that we need to use the sine ratio:

sin(x) = 4/9

To solve for an angle given the side lengths, we use the inverse functions:

x = sin^-1 (4/9)

x = 26.4

I hope this helps!

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