Some friends are going to be driving to a city 900 miles away from home. They are planning to stay the night in a city 420 miles away, then drive the rest of the distance the following day. If they plan to drive on average 60 miles per hour, how long will they be driving the second day?

Solving the fraction negative four and one fifth ÷ two and one fourth gives; negative one and 39 over 45

We want to divide the fraction negative four and one fifth ÷ two and one fourth. This can be expressed as;

-4¹/₅ ÷ 2¹/₄

Converting to improper fraction gives;

-21/5 ÷ 9/4

= -21/5 * 4/9

= -84/45

3 is a common factor that both numerator and denominator can be divided by to get; -28/15

Expressing the answer as a mixed fraction is; -1 ³⁹/₄₅

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The correct option is D,  -√15 < -2.75 < -2 3/8 < 15/2.

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

The value of the given numbers in the decimal form can be written as,

-√15 = -3.873

√15 = 3.873

15/2 = 7.5

-15/2 = -7.5

2 3/8 = 2.375

-2 3/8 = -2.375

Now, let's check in which options are the numbers arranged correctly.

A.) -√15 < -2 3/8 < -2.75 < 15/2

Since -2 3/8 > -2.75. Therefore, this is wrong.

B.) 15/2 < -2 3/8 < -2.75 < -√15

Since -2 3/8 > -2.75. Therefore, this is wrong.

C.) 15/2 < -2.75 < -2 3/8 < -√15

Since 15/2 > -2.75. Therefore, this is wrong.

D.) -√15 < -2.75 < -2 3/8 < 15/2

This is correctly arranged.

Hence, the correct option is D.

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Answer:

280

Step-by-step explanation:

-2 x 7 = -14

-14 x 5 = -70

-70 x -4 = 280

Answer:

280

Step-by-step explanation:

PEMDAS

The PEMDAS rule is an acronym representing the order of operations in math:

According to the order of operations (PEMDAS), when multiplying, work from left to right:

Given expression:

(-2) · (7) · (5) · (-4)

Multiply -2 by 7:

⇒ (-14) · (5) · (-4)

Multiply -14 by 5:

⇒ (-70) · (-4)

Finally, multiply -70 by -4, remembering that if both numbers are negative, the answer is positive:

⇒ 280

Answer:

-5

Step-by-step explanation:

2x+3y-4

Evaluate for x=1,y=−1

(2)(1)+(3)(−1)−4

(2)(1)+(3)(−1)−4

=−5

The volume of the object which is made up of two different cylinders will be 383 cubic inches.

Let r be the radius and h be the height of the cylinder. Then the volume of the cylinder will be given as,

V = π r²h cubic units

The object is made up of two cylinders. Then the volume of the object will be

V = π x (3)² x 8 + π x (5)² x 2

V = π(72 + 50)

V = 3.14 x 122

V = 383.08 ≈ 383 cubic inches

The volume of the object which is made up of two different cylinders will be 383 cubic inches.

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The tree in Naomi's backyard lost 120 leaves in 12 days. Therefore, the required expression is A. 120÷12

Hope this helps :)

you can choose any of the 3 items, or any combination of two of the items unless the hair dryer and the boots, because the combined weight is 3.6lb + 2.5lb = 6.1 lb

The maximum weight that your bag can have is 50 pounds.

The actual weight of your bag is 44.9 pounds, so if we define x as the weight you can add, then we can write the inequality:

44.9 lb + x ≤ 50lb

Solving the inequality for x, we get:

x ≤ 50lb - 44.9 lb

x ≤ 5.1 lb

Now, the weight of the items are:

hair dryer = 2.5 lb

souvenir = 1.3 lb

boots = 3.6 lb

So you can choose any of the 3 items, or any combination of two of the items unless the hair dryer and the boots, because the combined weight is 3.6lb + 2.5lb = 6.1 lb

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Answer:

D.  

Theres no need for a explanation :)

Answer:  13π/6    √45

Step-by-step explanation:

[tex]\displaystyle\\\sqrt{11} +3\approx6.32\\\\\pi +3,8\approx6.94\\\\Hence,\\\\6.32 < x,6.94\\\\\frac{61}{10}=6.1 \notin\\\\\frac{13\pi }{6}\approx6.81\in\\\\\sqrt{45}\approx6.71\in \\\\6\frac{1}{9}\approx6.11\notin\\\\\sqrt{83}-3\approx6.11\notin[/tex]

The additional information required to prove the SSS Triangle Congruence Postulate is TR = JL

The congruence postulate is given as:

SSS Triangle Congruence Postulate

The above means that the three sides of the triangles are congruent.

From the figure, the following side lengths are said to be congruent

ST and KL

SR and KJ

For the congruence postulate of the triangle to be SSS Triangle Congruence Postulate, then the third corresponding sides must be congruent

This is represented as:

TR = JL

Hence, the additional information required to prove the SSS Triangle Congruence Postulate is TR = JL

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Answer: 9.5 and 9.500

Answer:

One would be 9/5 and another could be 1.8

Answer:

2yds 33 in

Step-by-step explanation:

Convert everything to the lowest unit(inches) perform the operation and convert back

1 yard = 3 feet
1 foot = 12 in
1 yard = 3feet x 12in = 36 in

19yd, 28in = 19 x 36 + 28 = 684 + 28 = 712 in

16yd, 31 in= 16 x 36 + 31 = 576 + 31 = 607 inches

19yd, 28in - 16yd, 31 in = 712 - 607 = 105 inches

Divide by 36 to get the whole number of yards as quotient
105/36  with remainder of 33

∴ 19yd, 28in - 16yd, 31 in = 105 inches = 2yds 33 inches

We can verify this by converting 2yds 11inches to inches and seeing the values agree

2 yds 33 in = 2 x 36 + 33 = 105

The transformed function is g(x) = 20x-6.

The graph of the function y=f(ax) represents a Horizontal Shrink by a factor of "1/a" of the graph y=f(x) .

To find the horizontal shrink by a factor of 1/a we multiply the input by a .

In the given question

f(x)=5x-6 , is horizontally shrink by a factor of 1/4.

So we multiply the inputs by 4 .

On multiplying the inputs by 4 , we get

f(4x)=5(4x)-6        (...as 5*4=20)

Let g(x) represents the horizontal shrink of f(x) by factor 1/4 , So

g(x)=20x-6

Therefore , the horizontal shrink of the graph of f by a factor of 1/4 is g(x)=20x-6.

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The number of weeks it would take the workers to build 15 more floors is 5 weeks.

The number of weeks it would take to build 15 more floors can be determined by dividing the number of additional floors by the number of floors the workers can build in one week.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations. The result of the division process is known as the quotient.

Number of weeks = additional floors ÷ number of floors that can be built in a week

15 ÷ 3 = 5 weeks

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Answer: Between 2 and 7

Answer:

2 to 5

Step-by-step explanation:

i don't know because of i don't this transmission may not have the completed Questionnaire

Step-by-step explanation:

hey try out the questions urself some tips would be to make the 1/2 and 3/5 have the same denominator as those shown in the diagram denominator means the number below

so1/2 x5 would give u 5/10 and 3/5 would give you 6/10

Answer:

Y+5=0

Step-by-step explanation:

Here,given eqn of line is 0.X+Y+1=0_____(i)

since required eqn is parallel to eqn (i)

0.X+Y+K=0____(ii)

passing point (-3,5)

putting the value of Y

5+K=0

.-.K=(-5)

r required eqn is Y-5=0

The sum of two odd integers is an even integer. Therefore, the set S is not closed under addition.

The following subsets of Z (with ordinary addition and multiplication) satisfy all but one of the

axioms for a ring. In each case, which axiom fails?

(a) The set S of odd integers.

• The sum of two odd integers is an even integer. Therefore, the set S is not closed under addition.

Hence, Axiom 1 is violated.

(b) The set of nonnegative integers.

• If a is a positive integer, then there is no solution of a + x = 0 that is also positive. Hence, Axiom

5 is violated.

In general, to show that a subset S of a ring R, is a subring of R, it is sufficient to show that

(i) S is closed under addition in R

(ii) S is closed under multiplication in R;

(iii) 0R ∈ S;

(iv) when a ∈ S, the equation a + x = 0R has a solution in S.

Let a, b, c ∈ S ⊂ Z with a = rk, b = sk, c = tk.

(i) a + b = rk + sk = (r + s)k ∈ S

(ii) ab = (rk)(sk) = (rsk)k ∈ S

(iii) 0Z = 0 = 0 · k ∈ S

(iv) a = rs ∈ S ⇒ x = −rs ∈ S is a solution ofa + x = 0S

Thus, S is a subring of Z.

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The minimum temperature recorded is -32.4°C and the maximum temperature is 24.2°C, as seen by basic comparison of values.

The process of comparison of numbers establishes the similarities between two numbers and determines which number is greater, smaller, or equal to another number.

Now, given values :11.0, 24.2, -32.4, -0.6, 0.5

Arranging them in ascending order: -32.4, -0.6, 0.5, 11.0, 24.2Thus, The minimum temperature recorded is -32.4°C and the maximum temperature is 24.2°C, as seen by basic comparison of values.

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Based on the price of hot dog buns decreasing, the impact on the market would be the equilibrium price of hot dogs decreases.

The equilibrium quantity of hot dogs decreases.

The supply curve shifts left. The demand curve shifts right.

When the price of a good like the hot dog duns decreases, supplier will have less incentive to keep making it and so will reduce the quantity supplied to the market. This would mean that the supply curve would shift left.

The demand curve on the other hand would shift right because more people would demand the cheaper hotdogs. The equilibrium price which had fallen would then have to rise.

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Answer:

(a)20π

(b)74π

Step-by-step explanation:

(a) 2π(5) + (2π(10) × 1/2) = 2π(5) + 2π(5)

= 2π(10)

= 20π

(b) π(5)^2 + (π(10)^2 × 1/2) = 25π + 50π

=75π

Answer: P=20 cm    S=75 cm²

Step-by-step explanation:

We have 2 semicircles with diameter d=10 cm and 1 semicircle with diameter D=20 cm

[tex]\displaystyle\\The\ length \ of \ the\ circle\ is\ \pi D\\The\ length\ of \ the\ semicircle \ is\ \frac{\pi D}{2}[/tex]

[tex]\displaystyle\\a)\\P=2*\frac{\pi d }{2} +\frac{\pi D}{2} \\\\P=\pi d+\frac{\pi D}{2} \\\\P=\pi *(d+\frac{D}{2} )\\P=\pi *(10+\frac{20}{3} )\\\\P=\pi *(10+10)\\\\P=20\pi \ cm\\\\[/tex]

[tex]b)\\\displaystyle\\The\ area \ of \ the\ circle\ is\ \frac{\pi D^2}{4} \\The\ area\ of \ the\ semicircle \ is\ \frac{\pi D^2}{8}\\\\S=2*\frac{\pi d^2}{8} +\frac{\pi D^2}{8} \\\\S=\frac{2*\pi *10^2}8} +\frac{\pi *20^2}{8} \\\\S=\frac{2*\pi*100 }{8} +\frac{\pi *400}{8} \\\\S=\frac{200\pi }{8}+\frac{400\pi }{8} \\\\S=\frac{600\pi }{8} \\\\S=75\pi \ cm^2[/tex]

The required solution of the given expression is x = 17, this is been evaluated by the association of alike terms.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
x - 5 = 12
Now,
Adding 5 on both sides,
x = 17

Thus, The required solution of the given expression is x = 17, this is been evaluated by the association of alike terms.

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Answer: x=-3.25

y=7/12

Step-by-step explanation:

2x + 6y = -3

12y = 4x + 20

6y = -3-2x

6y=20-(-3)+4x-(-2x)

6y=20+3+4x+2x

6y=23+6x

23+6x=-3-2x

23=-3-8x

-8x=26

x=-13/4

x=-3.25

12y = 4(-3.25) + 20

12y=-13+20

12y=7

y=7/12

Step-by-step explanation:

gradient = slope. or similar names.

it expresses the "steepness" of the line. how strongly is it going up or down or ... at all ?

it is represented by the ratio

(y coordinate difference / x coordinate difference)

when going from one point on the line to another.

for these 2 points we see (when going from the first to the second)

x changes by +1 (from -1 to 0).

y changes by -6 (from 2 to -4).

so the slope or gradient is

-6/+1 = -6

If the side's measure is 30 centimeters, then the side of a square measures 3 decimeters, is the "if-then" form of A side of a square measures 3 decimeters if the side's measure is 30 centimeters.

A statement with an assumption and a conclusion is known as a conditional statement (also known as an if-then statement). The hypothesis is the initial clause, or "if," part of a conditional statement which is followed by the second, or "then," component of a conditional statement is the conclusion. The theory led to the conclusion.

Thus, option B is correct which is, if the side's measure is 30 centimeters, then the side of a square measures 3 decimeters.

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The coordinate of B is (13, -3).

What is Midpoint of line?

Measure of Distance between the two points and then divide by two is known as midpoint of line.

Given that;

The midpoint of the line AB is M (-5, 0).

The coordinate of A is (-3, 3).

Now, Let the coordinate of the point B is (x, y )

Then, By definition of midpoint of two point,

(-3 + x / 2 , 3 + y / 2 ) = (-5, 0)

By compare we get;

-3+ x / 2 = -5

- 3 + x = 2 * 5

- 3 + x = 10

x = 10 + 3

x = 13

And, 3 + y / 2 = 0

3 + y = 0

y = -3

Hence, The coordinate of B (x, y) = (13, -3).

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Answer:  (−7,−3)

Step-by-step explanation: I had the question