Mathematics High School

Nada drives her car at an average speed of 60 miles per hour. She is planning a drive between 150 and 180 miles. Write and solve an inequality to model how many hours Nada will be driving

Answers

Answer 1

The inequality model that can be used to solve the number of hours it would take Nada to drive is 2.5 ≤ x ≤3.

What is the number of hours it would take Nada to drive?

Average speed is the total distance travelled per time.

Average speed = total distance / total time

Time = total distance / average speed.

Time if she drives 150 miles = 150 / 60 = 2.5 hours

Time if she drives 180 miles = 180 / 60 = hours

2.5 ≤ x ≤3.

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Related Questions

GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)

Answers

Take the info given
perimeter formula… P = 2L + 2W
so…
30 = 2L + 2W
and L is twice the width
so…
L = 2W

substitute L for 2W and solve for W
2W + 2(2W) = 30
2W +4W = 30
6W = 30
W = 5
If L is twice as long as W (L = 2W) then
L = 10

the area formula.. A = L * W
so
A = 10 * 5

The area of the rectangle is 50cm^2
or 50 square centimeters

of the marbles in a bag 5 are red, 5 are green, and 3 are yellow. sandra will randomly choose one marble from the bag. the probability that sandra will choose a green marble from the bag?

Answers

Answer:

5/13

Step-by-step explanation:

Total amount of marbles: 5 + 5 + 3 = 13

5 out of 13 are green.

You can also turn this into a percentage but that number is not very clear and this answer should be fine if it doesn't state which form the answer has to be in.

what is lim x -> 7 ... (see image)

Answers

Answer:

I think 1/6

Step-by-step explanation:

because 2-3/1-7= -1/-6 so (-)and(-) is a (+)

so 1/6

Write an equation that represents a relationship between these angles. Do NOT use spaces or parentheses.

Answers

Answer:

Angle x measures 33.5 degrees.

Step-by-step explanation:

From the given picture, we can note that angle x and the angle of 23 degrees are vertical opposite angles,

Since lines l and m are perperdicular then the angle between then measures 90 degrees, so we have:

[tex]x+23+x=90[/tex]

By collecting similar terms the equation which represents a relation between these angles is:

[tex]2x+23=90[/tex]

Now, by subtracting 23 to both sides, we obtain:

[tex]2x=90-23\\2x=67[/tex]

and by dividing both sides by 2, we get

[tex]x=\frac{67}{2}[/tex]

[tex]x=33.5\\[/tex]

Then angle x measures 33.5 degrees.

& triangle is inscribed
in a rectangle, as shown below. What is the area of the shaded
region?
5 cm
3 cm
5 cm
11 cm
A. 40 cm2
C. 47.5 cm2
B. 62.5 cm2
D. 22.75 cm2

Answers

Answer: I am not really sure but I think its c

Step-by-step explanation:

we can simply get the area of the whole rectangle, that is, the rectangle including the triangle in it, and then get the area of the triangle and subtract it from that of the rectangle, what's leftover, is the part we did not subtract, namely the shaded region.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(5)(11)}~~ - ~~\stackrel{triangle}{\cfrac{1}{2}(\stackrel{b}{5})(\stackrel{h}{3})}}\implies 55~~ - ~~\cfrac{15}{2}\implies \cfrac{95}{2}\implies 47.5[/tex]

Shelley is making strawberry popsicles to have by the pool on a hot summer day. She
combines the ingredients in a blender shaped like a square prism with a 4-inch by 4-inch
square base. When she is done blending, the strawberry popsicle mixture fills the blender to
a height of 5.8 inches. The popsicle molds she will fill are cylindrical with a radius of 0.6
inches and a height of 4.5 inches.
What is the maximum number of popsicle molds Shelley can fill completely with the popsicle
mixture?
in

Answers

Answer:

Step-by-step explanation:

Explanation is in photo

Monica bought a sweater for $48.00. A week later the sweater went on sale for 25% off the original price. If Monica needed to pay 7% sales tax on any purchase, how many dollars would Monica have saved by waiting to buy the sweater on sale?

A. $12.84

B. $12.00

C. $2.52

D. $0.84

Answers

Answer:

A $12.84

Step-by-step explanation:

Sweater was originally $48.00 before tax. $48.00 x 7% tax rate (.07) = $3.36 in tax

So the sweater originally would've cost $48.00 + $3.36 = $51.36

The sale price was 25% off the $48.00. $48.00 x 25% (.25) = $12.00

Then you subtract the $12.00 from the $48.00 to get the new price of $36.00

Now that's before tax, so $36.00 x 7% tax rate (.07) = $2.52 in tax

So the sweater would cost on sale $36.00 + $2.52 = $38.52

To figure out how much she would've saved you subtract the sale price & tax from the original price & tax $51.36 - $38.52 = $12.84

The graph of f(x) = x2 − 6x − 16 is shown. Which of the following describes all solutions for f(x)? a parabola passing through negative 2 comma zero, 0 comma negative 16, and 8 comma zero (−2, 0), (0, −16), (3, −25), (8, 0) (x, x2 − 6x − 16) for all real numbers (−2, 0), (8, 0) (x, y) for all real numbers

Answers

Let's find out zeros

x²-6x-16=0x²-8x+2x-16=0(x-8)(x+2)=0x=8 or -2

x intercepts

(8,0) U (-2,0)

answer this and win 20 points

Answers

Answer:0.18%

Step-by-step explanation: It is simply but how you know that it is a percentage and you then have to add it as a decimal.

Which of the following is a solution of

Answers

[tex]\frac{7+\sqrt{13}}{6}[/tex] is the answer

Step-by-step explanation:

Answer:

The dimensions of a matrix are the number of rows by the number of columns.

Isabel created the table of x and y values shown here. O 2 14 6 19 Which equation represents the relationship between the x values and the y values in Isabel's table? A y = 4x + 4 C y= 2.5x + 4 B y= 2x + 4 Dy=4x+1

Answers

The equation that represents the relationship between the x values and the y values in Isabel's table is y = 5/4 x - 11.5

Linear functions

Linear functions are functions that have a leading degree of 1. The linear equation is expressed as:

y = mx + b

where:

m is the slope

b is the y-intercept

Using the coordinate points (2, 14) and (6, 19)

Determine the slope

Slope = 19-14/6-2
Slope = 5/4

For the y-intercept

14 = 5/4(2) + b
14 = 2.5 + b
b = 11.5

Determinethe required linear equations

y = 5/4 x + 11.5

Learn more on linear equation here https://brainly.com/question/1884491

Abbi is a years old. Abbi is 5 years older than cathy. Bobby is twice as old as Abbi. The total of their ages is less than 35. Solve the inequality

Answers

Answer:

Step-by-step explanation:

A+C+B>35

A = 7

B = 14

C = 2

A+B+C<35=

23<35

Mason earns $17.65 per hour. He worked 40 hours last week. What was his straight time pay?

Answers

Answer:

$706

Step-by-step explanation:

$17.65 per hour

40 hours worked

17.65 · 40 = $706

Hope this helps and God bless!

Which question cannot be answered by the solution to the equation 3x=27 ?

Elena read three times as many pages as Noah. She read 27 pages. How many pages did Noah read?
Elena read three times as many pages as Noah. She read 27 pages. How many pages did Noah read?

Lin has 27 stickers. She gives 3 stickers to each of her friends. With how many friends did Lin share her stickers?
Lin has 27 stickers. She gives 3 stickers to each of her friends. With how many friends did Lin share her stickers?

Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza?
Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza?

The coach splits a team of 27 students into 3 groups to practice skills. How many students are in each group?
The coach splits a team of 27 students into 3 groups to practice skills. How many students are in each group?

Answers

Answer:

Step-by-step explanation:

"Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza? "

Hope this helps :)

QUESTION 25 The area of the triangle shown is 54cm. The ratio of side to side is 3:4 What is the length of side in centimetres? A 6 B.9 C, 12 D. 15

Answers

Answer:

Step-by-step explanation:

Diagram would be helpful.... I am assuming this is a right triangle with legs ratio 3:4

Write a story problem with a diver and the values -20 and +15.

Answers

A diver is on a 5 foot ledge and dives down 20 feet and comes back up 15

Hey guys I need help with this no links and please explain your work

Answers

Answer:

x = 0.17

Step-by-step explanation:

Solve for x:

First, take the ln of both sides:

ln(1/16) = ln(8^(4x-2))

You can now bring down (4x-2) in front of the ln:

ln(1/16) = (4x-2)ln(8)

ln(1/16)/ln(8) = 4x-2

4x = ln(1/16)/ln(8) + 2

x = ln(1/16)/4ln(8) + 1/2

x = 0.17

Which expression is equivalent to (x^1/4y^16) ^1/2

Answers

Answer:

x^1/8 y^8

Step-by-step explanation:

= x^(1/4 * 1/2) y^(16 * 1/2) =

Wanwan is 1.69 m tall and is flying a kite. She holds the string of the kite just above her head. The string is 80 m long and makes, x°, between 54° and 55° with the horizontal. Assuming that the string is taut, estimate (2 decimal places) the vertical height of the kite from the ground

Answers

Since, the kite is taut the vertical height of the kite from the ground is 66.82 meters

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

Therefore, the string length is the hypotenuse side. The angle formed is between 54 degree to 55 degrees. Therefore,

sin 54.5 = opposite / hypotenuse

sin 54.5 = h / 80

cross multiply

h = 80 × sin 54.5

Describe any patterns observed between buffer capacities and the concentration of acid or base in each buffer solution.

Answers

The higher the concentration of species in solution, the higher the buffer capacity.

What is a buffer?

A buffer is a substance that mitigates against changes in acidity and alkalinity. The buffer capacity has to do with the greatest amount of acid/base that the buffer can effectively neutralize without a significant change in the pH of the solution.

We must know that the higher the concentration of species in solution, the higher the buffer capacity of the solution for any given ratio of [HA] to [A⁻] concentration.

Learn more about buffer: https://brainly.com/question/3435382?

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