Answers
2x - 7 < 15 and 2x - 7 > -15
2x < 22 2x > -8
x < 11 x > -4
Or you can write it -4 < x < 11
Related Questions
Roselyn wants to drive her car at a speed of 60 miles per hour for 1.251, point, 25 hours. Her car has a fuel efficiency of 15 miles per gallon. How many gallons of fuel does Roselyn need for her journey? Choose 1 answer: Choose 1 answer: A 2.52, point, 5 gallons B 3.1.25, point, 125 gallons C 0.20, point, 2 gallons D 5 gallons
Answers
Roselyn needs D 5 gallons for her trip.
The number of gallons of fuel Roselyn need for her journey is:
D. 5 gallons
Step-by-step explanation:It is given that:
Roselyn wants to drive her car at a speed of 60 miles per hour for 1.25 hours.
This means that the total distance she covers in 1.25 hours is:
[tex]60\times 1.25=75\ \text{miles}[/tex]
( Since, we know that speed is defined as the ratio of distance to time.
i.e.
[tex]Speed=\dfrac{Distance}{Time}\\\\i.e.\\\\Distance=Speed\times Time[/tex] )
Also, Her car has a fuel efficiency of 15 miles per gallon.
i.e.
She could cover 15 miles with 1 gallon of fuel.
Hence, in order to cover 75 miles.
i.e. to cover (15×5) miles she needs (1×5) gallons of fuel
i.e. she needs 5 gallons of fuel to cover 75 miles.
How to find the volume of a hemispherical bowl depth h?
Answers
Volume of hemisphere [tex]= \frac{2\pi{h^3}}{3}[/tex]
Rocky's car moves to G then it moves to B.His ride is 360 degrees
Answers
Answer:
150
Step-by-step explanation:
30+30+30+30+30=150
Also 5*30=150
Sam's Discount Store offers a 2% discount for paying cash. How much would Joan pay if she pays cash for a set of skillets priced at $38.95?
a. 38.17
b.34.82
c.3695
Answers
Answer:
$ 38.17
Step-by-step explanation:
Suppose you toss a coin 100 times and get 69 heads and 31 tails. based on these results, what is the probability that the next flip results in a tail?
Answers
CAN I GET SOME HELP?!?!?!?!
Answers
and im back
A computer and printer cost a total of 1136
. The cost of the computer is three times the cost of the printer. Find the cost of each item.
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Computer: 3x
Printer: x
We know that the total is 1136, so:
x+3x=1136
4x=1136
Now, we divide 1136 by 4 to get the cost of the printer.
1136/4=284
So, now let's apply this to what we wrote previously.
Answer:
Printer: 284
Computer: 284*3= 852
Hope I helped! If I did, feel free to vote brainliest.
what is the volume of a box that can fit exactly 128 1/8 inch cubes with 1/2 inch sides?
Answers
a 5 inch tall bamboo shoot doubles in height every 3 days. if the equation, y=ab^x where x is the number of doubling periods, represents the height of the bamboo shot, what are the values of a and b?
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Y-height of bamboo
Y=ab^x
1) make a table of values
X Y
1 5
2 10
3 20
2) write equations and substitute
5=ab^1 —> a=5/b^1 —> a=5/b
10=ab^2
Substitute into second equation
10=(5/b)*b^2
10=5b^2/b
10=5b
b=2
Substitute back in
b=2
10=a*2^2
10=4a
a=5/2
End equation:
Y=5/2*2^x
does 6% of a pound weigh more than an ounce
Answers
Answer:
6% of a pound does not weigh more than 1 ounce.
Step-by-step explanation:
First, we will calculate 6% (0.06) of 1 pound.
0.06 × 1 lb = 0.06 lb
1 pound is equal to 16 ounces. 0.06 pounds, expressed in ounces is:
0.06 lb × (16 oz/ 1 lb) = 0.96 oz
6% of a pound = 0.96 oz
0.96 oz < 1 oz
Due to the transitive property, we can affirm that 6% of a pound does not weigh more than 1 ounce.
One side of a triangle is increasing at a rate of 9 cm/s and a second side is decreasing at a rate of 2 cm/s. if the area of the triangle remains constant, at what rate does the angle between the sides change when the first side is 21 cm long, the second side is 36 cm, and the angle is π/6? (round your answer to three decimal places.)
Answers
The rate at which the angle between the sides of the triangle is changing is 4/9 radians per second.
Explanation:In this problem, we are given that one side of the triangle is increasing at a rate of 9 cm/s and a second side is decreasing at a rate of 2 cm/s. We need to find the rate at which the angle between the sides is changing.
To solve this, we can use the formula:
angle_rate = (-side2_rate/side1)*(cos(angle))/(sin(angle))
Substituting the given values:
angle_rate = (-(-2)/9)*(cos(π/6))/(sin(π/6))
Simplifying, we get:
angle_rate = 4/9
Therefore, the rate at which the angle between the sides is changing is 4/9 radians per second.
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A thermometer is removed from a room where the temperature is 70° f and is taken outside, where the air temperature is 30° f. after one-half minute the thermometer reads 50° f. what is the reading of the thermometer at t = 1 min? (round your answer to two decimal places.)
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_____
Every half-minute, the temperature difference from the 30 °F air temperature is divided by 2. After 1 minute, the initial 70-30=40 degree difference will be divided by 4. The thermometer will read 30° +40°/4 = 40°
If a sequence us defined recursively by f(0)= 3 and f (n+1)= -f (n) +5 for n>_ 0 then f (2) is equal to?
Answers
f(2) = -f(1) +5 = -2 +5 = 3
f(2) = 3
_____
The sequence appears to alternate between 3 and 2.
Consider a group of people who have received treatment for a disease such as cancer. let tt be the survival time, the number of years a person lives after receiving treatment. the density function giving the distribution of tt is p(t)=ce−ctp(t)=ce−ct for some positive constant cc, and the cumulative distribution function is p(t)=∫t0p(x)dxp(t)=∫0tp(x)dx. think carefully about what the practical meaning of p(t)p(t) is, being sure that you can put it into words.
Answers
[tex]p(t)=ce^{-ct}[/tex]
Suppose we are looking at the probability that a person in the group live less than d days. Then we will use the integral the following way:
[tex]P(x\ \textless \ d)=\int_{t_0}^dce^{-ct}dt[/tex]
Solution :- Let X be a group of people who have received treatment for cancer ,
and t be the survival time(The number of years a person lives after receiving treatment).
Now the density function giving the distribution of t =[tex]p(t)=ce^{-ct}[/tex]
for some positive constant c.
So to know the probability of a person of the given group live not more than d days, the cumulative distribution function is given by
[tex]P(X\leq\ d )=\int\limits^d_{t_0}{ce^{-ct}\ dt[/tex] where c be any constant.
The distribution function P(t), also called the cumulative distribution function (CDF) , which tells the probability that a variate T takes a value less than or equal to a number t. And P(t)is greater than 0 and less than1
if i have 2 c's 2 A's 3 b's and 1 d what is my gpa and would i be able to pass 8th grade
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B= 3 points
C= 2 points
D= 1 point
F= 0 points
So you add 2+2+4+4+3+3+3+1
Which equals 22
Now divide 22 by 8
You get 2.75
So yes with a 2.75 gpa you should pass 8th grade as most schools require nothing less than a 2.0
Find the domain and range of the relation and determine whether it is a function.
a. domain: all real numbers; range: all real numbers; Yes, it is a function.
b. domain: positive integers; range: positive integers; No, it is not a function.
c. domain: x ≥ 0; range: y > 3; No, it is not a function.
d. domain: x > 3; range: y > 0; Yes, it is a function.
Answers
Let's look at the graph. If we do the vertical line test, we can figure out that YES, it is a function, so option b and c are already out of the picture.
Now, to find the domain, look at the graph and shade it back to the x-axis. The domain includes every number greater than 3, so the domain is x>3.
To find the range, take a look at the graph and shade it back to the y-axis. The range includes every real number greater than 0, so the range is y>0
This means that d is the answer.
I really hope this helps!
Best wishes :)
Using function concepts, it is found that the correct option is:
d. domain: x > 3; range: y > 0; Yes, it is a function.
A relation is a function if for each value of the input, there is only one respective value of the output. In a graph, it means that for each value of x, there is only one respective value of y.
In this graph, there is only one value of y for each value of x, hence, it is a function.The domain of a function is the set that contains all possible input values. In a graph, it is the values assumed by x, the horizontal axis.
In this graph, x assumes values greater than 3, hence the domain is x > 3.The range of a function is the set that contains all possible output values. In a graph, it is the values assumed by y, the vertical axis.
In this graph, y assumes values greater than 0, hence the range is y > 0.A similar problem is given at https://brainly.com/question/10891721
Look at this cube and its net. Cube with one side labeled 8 centimeters. Net of the same cube also shown with one side labeled 8 centimeters. What is the surface area of this cube? cm²
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Find the value of x to the nearest tenth.
10.0
6.0
9.3
4.0
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20/3x-8 = 6/3
18x-48 = 60
18x = 60+48
18x = 108
x = 6
Answer:
The value of x is 6
Step-by-step explanation:
Given the figure in which
DE=3x-8 and BC=20
we have to find the value of x.
By mid-point theorem which states that the line segment which is drawn to the mid-points of two sides of triangle is parallel to the third side and also half of the length of third side.
[tex]DE=\frac{1}{2}BC[/tex]
[tex](3x-8)=\frac{1}{2}\times 20[/tex]
[tex]3x-8=10[/tex]
[tex]3x=18[/tex]
[tex]x=\frac{18}{3}=6[/tex]
The value of x is 6
Option 2 is correct.
One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of the hypotenuse? 2.5 inches 5.0 inches 7.1 inches 9.8 inches
Answers
Answer: 7.1 inches
Step-by-step explanation:
Given: One leg of isosceles right triangle = 5 inches
Since in isosceles right triangle , two sides have same side length , therefore the length of the other leg should be 5 inches.
Let H be the hypotenuse of the isosceles right triangle
Now, by Pythagoras Theorem , we have
[tex]H^2=5^2+5^2=25+25=50\\\\\Rightarrow\ H=\sqrt{50}=5\sqrt{2}\\\\\Rightarrow\ H==5\times(1.41421356237)\\\\\Rightarrow\ H==7.07106781187\approx7.1\ inches[/tex]
Hence, the approximate length of the hypotenuse = 7.1 inches
Answer: C
Step-by-step explanation: 7.1 inches
The distance from town A to town B is divided into 8 equal parts. So far, a bus has traveled 12 Miles. How far apart are town A and town B? Explain
Answers
4 parts = 12 miles
1 parts = 12miles/4= 3 miles
The total distance of town A to town B is 8 parts. So, the total distance in miles would be:
8 parts * 3miles/part= 24 miles
Town A and Town B are 1.5 miles apart.
Explanation:The distance between town A and town B can be found by multiplying the distance traveled by the number of equal parts that make up the whole distance. In this case, the bus has traveled 12 miles out of 8 equal parts. To find the total distance, we can set up a proportion:
12 miles / 8 parts = x miles / 1 part
Cross-multiplying gives us:
8x = 12 miles
Dividing both sides by 8 gives us:
x = 1.5 miles
Therefore, town A and town B are 1.5 miles apart.
In a circle with a radius of 27 2/5 in., an arc is intercepted by a central angle of 7π/4 radians. What is the arc length? Use 3.14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box.
Answers
For future reference, Scapazzi was correct.
The arc length will be given as the circumference of the circle is 150.56 inches long.
What is a circle?It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
In a circle with a radius of 27 + 2/5 inches.
That can be written as 27.4.
An arc is intercepted by a central angle of 7π/4 radians.
The arc length will be given as the circumference of the circle
[tex]\rm Arc \ length = \dfrac{\theta}{2\pi} 2 \pi*r\\\\Arc \ length = \theta * r\\\\Arc \ length = \dfrac{7 \pi }{4} * 27.4 \\\\Arc \ length = 150.56[/tex]
Thus, the arc length will be given as the circumference of the circle is 150.56 inches.
More about the circle link is given below.
https://brainly.com/question/11833983
Emily dropped a coin from rest, and the distance traveled by the coin is given by the formula below, where s is the distance the coin has fallen, g is a constant representing Earth's gravity, and t is the duration of time over which the coin falls. Emily measured the distance in feet, the time in seconds, and now wants to calculate the value of g. What must be the units of g?
Answers
[tex]s = \frac{1}{2}gt^{2}[/tex]
Putting units where each of the variables are, we have
.. ft = g*s^2
Solving for the units of g, we get
.. g = ft/s^2 . . . . . feet per second per second, or feet per second squared
To match the units of distance in feet and time in seconds, the units of the gravitational constant g must be feet per second squared (ft/s^2). On Earth, g is roughly 32.17 ft/s² in U.S. Customary units.
When Emily drops a coin from rest, the distance traveled by the coin (s) can be used to calculate the acceleration due to gravity (g) when the time (t) the coin took to fall is known. The formula provided suggests that distance is equal to 0.5 times gravity acceleration times the square of time (s = 0.5 * g * t²).
Given that Emily measured the distance in feet and the time in seconds, the units for g must be compatible with these measurements. Since distance is in feet and time is squared in seconds, the unit for g must be feet per second squared (ft/s²) to ensure that all units cancel out correctly, leaving us with the unit of distance in feet. On Earth's surface, the value of g using U.S. Customary units is approximately 32.17 ft/s².
Help please!!! Need to find the height!!
Answers
which is 83.088 or 83.1, D)
Annie is planning a business meeting for her company. She has a budget of $1325 for renting a meeting room at a local hotel and providing lunch. She expects 26 people to attend the meeting. The cost of renting the meeting room is $270. Which inequality shows how to find the amount, x, Annie can spend lunch for each person? A. 26x + 270 ≥ 1,325 B. 26x + 270 ≤ 1,325 C. 270x + 26 ≥ 1,325 D.270x + 26 ≤ 1,325
Answers
Answer: B. [tex]26x+270\leq1,325[/tex]
Step-by-step explanation:
Let 'x' denote the amount of money Annie can spend lunch for each person.
Given: The cost of renting the meeting room = $270
The number of people attend the meeting = 26
Then, the expression for total amount spent on lunch will be :-
[tex]\text{Total amount on lunch}=26x[/tex]
The expression for total spent by Annie will be:-
[tex]26x+270[/tex]
Since, the budget for renting a meeting room at a local hotel and providing lunch= $1325
Thus, the inequality shows how to find the amount, x, Annie can spend lunch for each person will be :-
[tex]26x+270\leq1,325[/tex]
708,000 divided by 3,000 equals
Answers
[tex] \frac{708000}{3000} = 236[/tex]
The answer is "236".
Reason:
First write the equation:
708,000/3,000=236
=236
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
least common denominator for 1/49 1/21 1/3
Answers
I hope this helped!
Rebekah wants to read a certain number of pages each day during summer vacation. Today, she read 204 pages, which is 136% of her goal. How many pages does Rebekah want to read each day?
Answers
Answer:
Her goal is to read 150 pages each day.
Step-by-step explanation:
Let p represent the number of pages she wants to read each day.
Then 136% of that number is 204 pages, or, in an equation,
1.36p = 204
Solving for p, we get: p = 204/1.36 = 150 pages
Her goal is to read 150 pages each day.
1.) A circle has a radius of 12 centimeters. Find the area of the sector of the circle formed by an angle of 25 degrees. is necessary, round the answer to two decimal places.
2.) Is the function f(theta) = sin theta + cos theta even, odd, or neither? show how
Answers
360o / pi*r^2 = 25/ x where x is the area when the central angle is 25o.
Cross multiply
360x = 25*3.14*12^2
360x = 11304
x = 11304 / 360
x = 31.4 cm^2
Two
f(x) = sin(theta)+cos(theta)
f(-x) = sin(-theta) + cos(-theta)
f(-x) = - sin(theta) + cos(theta) They are not the same. f(x) is odd.
Write the equation of the parabola in vertex form.
vertex (0,4), point (1,-3)
f(x)=
Answers
y=k(x-0)²+4
if x=1 then y=-3
==> -3=k*1+4==>k=-7
y=-7x²+4
The equation of the parabola in vertex form is f(x) = -7x^2 + 4
Explanation:To write the equation of a parabola in vertex form, we use the formula f(x) = a(x - h)^2 + k where (h, k) represents the vertex. In this case, the vertex is (0,4) so our equation becomes f(x) = a(x - 0)^2 + 4 which simplifies to f(x) = ax^2 + 4. To find the value of a, we substitute the coordinates of the point (1,-3) into the equation and solve for a. Plugging in these values, we get -3 = a(1)^2 + 4, which simplifies to -3 = a + 4. Solving for a, we find that a = -7. Therefore, the equation of the parabola in vertex form is f(x) = -7x^2 + 4.
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NEED ANSWER IN LEAST THAN 3 Minutes
Anita owns a beauty supply store. Every two weeks she receives a supply of shampoo. Every four weeks she receives a carton of nail polishes. Every eight weeks she receives a box of combs, and every twelve weeks she receives a box of hair dyes. If Anita received a shipment of all these supplies today, when is the next time all four supplies will arrive on the same day?
Answers
nail polish: 4, 8, 12, 16, 20,. 24
combs: 8, 16, 24
hair dryers, 12, 24
find the least common multiple of the weeks given, 2, 4, 8, 12
the number is 24 so every 24 weeks