Solving the inequality, it is found that the correct interpretation of the solution is:
Reina's family can drive 83 more miles before they need to refill the gas tank.
The amount x of miles they can still travel is modeled by the following inequality:
[tex]221 + x \leq 304[/tex]
To solve it, we treat it similarly to an equality, hence:
[tex]x \leq 304 - 221[/tex]
[tex]x \leq 83[/tex]
Hence:
Reina's family can drive 83 more miles before they need to refill the gas tank.
A similar problem is given at https://brainly.com/question/11713066
The answer prior to this is WRONG. The correct answer is "at most 83" miles.
find the missing triangle measurements. I WILL GIVE BRAINLIEST! PLEASE
Answer:
ABC= 60
DCE= 65
DEF= 105
Step-by-step explanation:
Answer:
60°; 65°; 115°Step-by-step explanation:
ΔABC is equilateral since all sides marked as congruent. Therefore:
m∠ABC = 60°ΔCDE is isosceles since two sides marked as congruent:
m∠DCE = m∠DEC = 1/2(180° - 50°) = 1/2(130°) = 65°∠DEF forms a linear pair with ∠DEC, so they sum to 180°:
m∠DEF = 180° - 65° = 115°The density of glass in a bottle is 2.4gcm^3. The volume of glass used to make the bottle is 13.4cm^3. Calculate the mass of the glass bottle.
Answer:
Density is g/cm^3, not gcm^3
Mass = 32.16 grams [32.2 grams for 3 sig figs)
Step-by-step explanation:
Density = Mass/Volume
Density = 2.4g/cm^3
Volume = 13.4cm^3
---
2.4g/cm^3 = Mass/13.4cm^3
Mass = (2.4g/cm^3)*(13.4cm^3)
Mass = 32.16 grams [32.2 grams for 3 sig figs)
The mass of the glass-bottle is 32.16 grams.
What is volume?Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.
Given:
The density of glass in a bottle is 2.4 grams per cubic centimeters.
The volume of glass used to make the bottle is 13.4 grams per cubic centimeters.
Density = Mass/Volume
Density = 2.4 grams per cubic centimeters.
Volume = 13.4 cubic centimeters.
Substituting all the values,
2.4 = Mass / 13.4
Mass = 13.4 x 2.4
Mass = 32.16
Therefore, mass = 322.16 grams.
To learn more about the volume;
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#SPJ2
what is a trinomial?
Answer:
In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials.
Answer:
An algebraic expression of three terms
Step-by-step explanation:
A trinomial consists of 3 terms connected to one another by + or - sign(s).
Examples: x^2 - 2x - 5 is a trinomial: Its 3 terms are arranged in descending order by powers of x.
A retirement account was opened with a $900 deposit. If the account earns 4.25% interest compounded continuously and has no other deposits or withdrawals, how long will it take the value to double?
It will take 16.66years long for the money to double
The formula for calculating the compound amount is expressed as:
A = P(1+r)^t
A is the amount after t years = 2(900) = $1800P is the amount invested = $900r is the rate in decimal = 4.25% = 0.0425Substitute into the formula to have:
1800 = 900(1+0.0425)^t
2 =(1+0.0425)^t
2 = 1.0425^t
ln2 = tln1.0425
t = ln2/ln1.0425
t = 0.6931/0.0416
t = 16.66years
This shows that it will take 16.66years long for the money to double
Learn more on compound interest here: https://brainly.com/question/18483293
Twelve square tiles, each measuring 5 inches
on a side, are laid side by side. What is the total
width of the tiles?
Answer:
pretty sure 60, 5 x 12
Step-by-step explanation:
just do 5 x 12 if there's 12 tiles and their measurement is 5 inches each
please dont give a useless answer
Answer:
[tex]\frac{7}{10} ,0.7[/tex]
Reasoning:
Do the inverse of adding 4/5 to isolate and find a.
[tex]1\frac{1}{2} - \frac{4}{5} =\frac{7}{10}[/tex]
Decimal Form:
[tex]1.5-0.8=0.7[/tex]
Answer:
a = 0.7 = 7/10
Step-by-step explanation:
Subtract 4/5 from both sides.
a + 4/5 = 1 1/2
a + 0.8 = 1.5
a + 0.8 -0.8 = 1.5 -0.8 . . . . subtract 4/5 from both sides
a = 0.7 = 7/10
_____
If you like, you can solve this a couple of other ways:
1) Solve it as an integer problem.
10a +8 = 15 . . . . . . multiply the given equation by 10 to clear fractions
10a = 7 . . . . . . . . subtract 8
a = 7/10 . . . . . . divide by 10
2) Use a common denominator
a +8/10 = 1 5/10
a = 1 5/10 -8/10 . . . . . subtract 8/10
a = 15/10 -8/10 = (15 -8)/10 = 7/10 . . . . . convert to improper fraction
__
Additional comment
It is a good idea to get comfortable working with numbers in any form in which they are presented: decimal, fraction, mixed number, scientific notation, percentage. Knowing how to convert between forms is essential.
What is meaning of irrational exponents.
Answer:
Here
Step-by-step explanation:
Irrational exponents are non repeating or infinite decimals while rational exponents are rational numbers. The value of an irrational exponent when calculated is approximate in nature while the value of rational exponent is exact.
The slope of the line formed between point A and point C on the graph is 2/3
What is the slope of the line formed between point C and point E?
Answer:
B. 1/2
Step-by-step explanation:
i think
Dante argues that point P is the circumcenter of the triangle. Determine if
Dante is correct and justify your answer.
Dante is incorrect because point P is not the circumcenter of the triangle.
What is the circumcenter of a triangle?The circumcenter of a triangle is a specific point or location either inside or outside the triangle that represents the center if a circumcircle is drawn or if a circle that touches all the vertices of a triangle is drawn.
How to identify a circumcenter?There are some simple characteristics to determine if a circumcenter is correct.
All the vertices of a triangle have the same distance from the circumcenter.In obtuse triangles like the one shown in the image, this point is located outside the triangle.Based on these characteristics we can conclude Dante is incorrect because the distance from point P to the three vertices is not the same and this point should be located outside not inside the triangle.
Learn more about triangle in: https://brainly.com/question/25813512
5
7
2
8
1) what is the area (square units)
solve |8y+4|=2|y-1|
please show the work!
Which division problem is modeled
Answer:
The first one
Step-by-step explanation:
if you count, there are five full rows, and two extra, so 52/100. then you count the sections that the colored area is: 4. then count how many squares are in each colored section: 13.
HELP 35 POINTS
State the domain and range to each of these functions and determine function or not.
Answer:
see below
Step-by-step explanation:
2.x<1, y=all real numbers
3. -1<=x<=3 -3<=y<=2
4. x= all real numbers, y>-2
5. 7<=x<5, 3<=y<1
6.x>-4, y>-1
what is 18 kg in grams
Answer:
18 000
Step-by-step explanation:
One kg is 1000 grams. 18 kg are 18 x 1000 = 18 0000 grams.
Please help me and
explain how you got the answer
Answer:
x = 7°
Step-by-step explanation:
∠WST is an exterior angle of the triangle
The two interior angles (5x - 1) and (57) add up to WST ( 12x + 7) because they are the non-adjacent interior angles
Solve:
(5x - 1) + (57) = (12x + 7)
5x - 1 = 12x - 50
-1 = 7x - 50
49 = 7x
x = 7
-Chetan K
The distance around the edge of a circular pond is 88m. The radius,in meters,is?
Answer:
88/ 2π
Step-by-step explanation:
Suppose the graph of y = f(x) is translated left 2 units, and up 8 units, then stretched vertically by a
factor of 3.
The new graph will have equation y =
Answer: f(x)=3(x+4)+ 8
Step-by-step explanation:
Stretch vertically by a factor of 3: y = 3x
Then, translate two units leftward: y = 3(x+2)
Then, translate 8 units upward: y = 3(x+4)+ 8
[tex]\boxed{\sf 2x+31=5}[/tex]
2x + 31 = 5
2x = 5 - 31
2x = -26
x = -26/2
x = -13.
_______
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
[tex] \sf \: 2x + 31 = 5[/tex]
[tex]\sf \longmapsto \: 2x = 5 - 31[/tex]
[tex]\sf \longmapsto \: 2x = -26[/tex]
[tex]\sf \longmapsto{x }= \frac{ - 26}{2} [/tex]
[tex]\sf \longmapsto \: x = - 13[/tex]
[tex] \boxed{\sf - 13}[/tex]
I need helpppp with 1-9
100 points if you get this
Answer:
....
Step-by-step explanation:
Answer:
I AGREE
Step-by-step explanation:
it takes clay 1/2 hour to mow his lawn how much of the yard will be mowed after 1/3 hour
Answer:
Step-by-step explanation:
Clays rate is 1/2 hour per lawn. We can write this as Rate = 3/2 hr/lawn.
If Clay mows for 1/3 hour, we can determine the amount of lawn mowed by dividing the 1/3 hour by the rate:
(1/3 hr)/(3/2 hr/lawn) = (1/3)*(2/3) = 2/9 of a lawn.
a.
Write the equation in slope intercept form of a line that goes through the points
(-7, 10) and (1,4). Hint: once you find m, you will need to solve for b
Answer:
y= -¾x + 19/4
Step-by-step explanation:
get gradient and substitute
Owen had 8,452 books donated to our school. If he shares with with 23 classes about how many books does each class get? Again assesment due tom :,)
Answer:
327.5
Step-by-step explanation:
8452/23 = 327.478
Round to about 327.5 books per class
Answer:
each class gets 367 books
In two or more complete sentences describe how to determine if the function, f(x) =3cos(x) is even by looking at a graph
Answer:
You know that a cosine graph is a sine graph moved to the left by pi/2, therefore, like a linear equation, you need to make the cosine graph 3 times less width.
Step-by-step explanation:
Please help me with this
Ahmed invests an amount of $1200 for three years at 6%. Work out its a- Simple interest b- Total amount after three years.
Answer: In 3 years the money earned 18%. If we rounded to 20%, the interest would have been 500(0.20) or $100. Yes, $90 is reasonable.
[tex]\sf 78-2x=87-3x[/tex]
Answer:
x = 9
Step-by-step explanation:
78 - 2x = 87 - 3x
3x - 2x = 87 - 78
x = 9
x = 9
Step-by-step explanation:
=> 78-2x= 87 -3x
=> 78-87=-3x+2x
=> -9 = -x
=> x = 9
Which value of m is a counterexample for the following statement?
If m is an odd prime number, then m + 2 is also prime.
Group of answer choices
7
3
5
9
11
Answer:
3
Step-by-step explanation:
because 3 is a prime number and 3+2=5 which is also a prime number
What is the answer to 3) 1 + 4x = −5 + 7x
Answer:
x = 2
Step-by-step explanation:
HELLO PLEASE GIVE ME THE RIGHT ANSWER ASAP THANK YOU !
[tex]\large\underline{\sf{Solution-}}[/tex]
[tex]\textsf{Given expression;}\\[/tex]
[tex] \rm{23 = \frac{7}{9}(6x - 36) + 9 } \\ [/tex]
[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 256)}{9} + 9 \\ [/tex]
[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 256 + 81)}{9} \\ [/tex]
[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 175)}{9} \\ [/tex]
[tex] \rm{\longmapsto} \: \frac{23}{1} = \frac{(42x - 175)}{9} \\ [/tex]
[tex]\textsf{By doing cross multiplication, we get}\\[/tex]
[tex] \rm{\longmapsto}23(9) = 1(42x - 175) \\ [/tex]
[tex] \rm{\longmapsto}207 =42x - 175\\ [/tex]
[tex]\rm{\longmapsto} \: 42x = - 175 - 207 \\ [/tex]
[tex]\rm{\longmapsto} \: 42x = - 379 \\ [/tex]
[tex]\rm \therefore \: x = - \frac{375}{42} \\ [/tex]
[tex]\textsf{Hence, the value of x will be -375/42 respectively.}\\[/tex]
[tex]\textbf{Read more:}[/tex]
[tex]\textsf{Similar Questions}[/tex]
Solve the expression and find the value of x. [tex] \frac{x…
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