Answer:
15 + x(.5) = 24 ; x = 18
Step-by-step explanation:
15 + 18(.5) = 24
15 + 9 = 24
Step-by-step explanation:
t is the number of ride tickets she can buy.
=>
[tex]15 + t \times 0.5 \leqslant 24[/tex]
she has to pay $15 just for entering. the rest of the money she can use for ride tickets.
so, whatever she does, she has to stay inside the $24 limit, as she does not have more money.
the $15 admission goes off the $24 available money. that leaves $9.
each ride ticket costs $0.50, so she can buy max. 9/0.5 = 18 tickets. she can buy fewer tickets, but she cannot buy more than these 18 tickets.
so, again
[tex]15 + t \times 0.5 \leqslant 24[/tex]
[tex]t \times 0.5 \leqslant 24 - 15 = 9[/tex]
[tex]t \times 0.5 \leqslant 9[/tex]
[tex]t \leqslant 9 \div 0.5 = 9 \div (1 \div 2) = 2 \times 9 \div 1 \\ = 18[/tex]
[tex]t \leqslant 18[/tex]
PLEASE HELP ME WITH A MATH PROBLEM!!
Answer:
C.) Side-Angle-Side (SAS)
Step-by-step explanation:
the town halls of havertville and north town are shown on the map if the distance between grid lines represents 1 mile what is the distance between the two town halls? round your answer to the nearest tenth
Answer:
7.2 miles
Step-by-step explanation:
See comment for complete question.
Let:
[tex](x,y) \to Havertville[/tex]
Northtown will be represented as:
[tex](x+6,y+4)[/tex] --- i.e 6 units right and 4 units up
The distance both is calculated using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
This gives:
[tex]d = \sqrt{(x - (x + 6))^2 + (y -( y + 4))^2}[/tex]
Remove brackets
[tex]d = \sqrt{(x - x - 6)^2 + (y - y - 4)^2}[/tex]
Evaluate like terms
[tex]d = \sqrt{(-6)^2 + (-4)^2}[/tex]
[tex]d = \sqrt{36 + 16}[/tex]
[tex]d = \sqrt{52}[/tex]
[tex]d = 7.2\ units[/tex] -- approximated
From the question, we understand that:
[tex]1\ unit = \ mile[/tex]
So:
[tex]d = 7.2\ miles[/tex]
find acute angle between the line 2x+4y=7 and x+2y=5
Answer:
arctan(4/3) ≈ 0.9272
Step-by-step explanation:
On comparing eqⁿ to y = mx + c,
Slope of 2x + 4y = 7 is -2/4 = - 1/2
Slope of x + 2y = 5 is - 1/2
Therefore, if A is the angle b/w them,
A = arctan | (m1 + m2)/(1 - m1m2) |
A = arctan | (-½ - ½)/(1 - ¼) |
A = arctan (4/3)
A mug can hold 15.38 oz of coffee without overflowing. The radius of the mug is 4 cm. Given that 1 cm3 equals approximately 0.034 oz, what is the height of the mug to the nearest centimeter?
A. 13 cm
B. 9 cm
C. 11 cm
D. 7 cm
What is the value of angle vux
==============================================
There are two ways to do this.
The quicker way is to use the remote interior angle theorem. We have the interior angles 53 and 103 which add to 53+103 = 156 which is exactly the exterior angle VUX.
---------------
The slightly longer way involves finding angle TUV first. Let's say this is equal to the variable y
Adding any three interior angles of a triangle always gets us 180
53+103+y = 180
y+156 = 180
y = 180-156
y = 24
Angle TUV is 24 degrees
The angle supplementary and adjacent to this is angle VUX, which I'll call z
z+y = 180
z = 180-y
z = 180-24
z = 156
So this is another way to get to the answer 156 degrees.
If you start with $1000 and invest it in account that pays 3% interest compounded once a year. How much
money will you have in 10 years? (Show your equation)
Answer:
[tex]A = P(1 + \frac{r}{n} )^{nt}\\\\P = 1000\\r = 3\% = \frac{3}{00} = 0.03\\n = 1\\t = 10\\\\A = 1000( 1 + \frac{0.03}{1} )^{10}= 1000(1.03)^{10} =\$1343.92[/tex]
what are some good notes I can use to study for my algebra exam tomorrow?
Answer:
all you need to do is look over your notes continue to partice as much as you can
Step-by-step explanation:
you got this
F
110°
H
G
Find angle G
Answer:
Any picture ?
Step-by-step explanation:
A ladder leans against the wall at the point B
(window end) from a ground level and makes an
angle horizontally at 52º. The height of ladder is 15
m. When the same ladder leans above the point B
at point A (window start) and makes an angle of 85°
horizontally. The distance between point A and
point B is
Answer:
..........
Step-by-step explanation:
Given:
The height of the ladder = 15 m
When the ladder leans at point B from the ground level, then it makes an angle of 52° with the horizontal
When the ladder leans at point A from the ground level, then it makes an angle of 85° with the horizontal
To find:
The distance between point A and point B is?
Solution:
To solve the above-given problem, we will use the following trigonometric ratio of a triangle:
Referring to the figure attached below, we will assume,
BD = AD = 15 m = height of the ladder
∠BDC = 52° = angle of elevation to the foot of the window
∠ADC = 85° = angle of elevation to the top of the window
Now,
In ΔBCD, we have
Opposite side = BC
Hypotenuse = BD = 15 m
θ = 52°
∴
and
In ΔACD, we have
Opposite side = AC
Hypotenuse = AD = 15 m
θ = 85°
∴
∴ The height of the window, AB = AC - BC = 14.94 m - 11.82 m = 3.12 m
Thus, the distance between point A and point B is 3.12 m.
-----------------------------------------------------------------------------------------------
Also View:
A ladder leaning against a wall makes an angle of 60 degree with the horizontal If the foot of the ladder is 2.5 m away from the wall , find the length of the ladder.
Please help me on this problem
Answer:
The answer would be 20 mi
Step-by-step explanation:
a^2+b^2=c^2
a^2=144
b^2=256
C^2=400
Then you find the square root of ABC to find that C is 20
Can anyone help me with this please?
Answer:
The ones selected are correct
sadie travels through two intersections with traffic lights as she drives to work. The traffic lights operate inependently. The probability that both lights will be red when she reaches them is 0.22. The probability that the first light will be rerd and the second light will not be red is 0.33. what is the probability that the second light will be red when she reaches it
Answer:
The probability that the second light will be red when she reaches it is 0.4
Step-by-step explanation:
Given the two events are independent
Hence, the probability of both the red light is (P1) * (P2) = 0.22
The probability of first light being red = probability of both the intersections to have red light + probability that the first light will be rerd and the second light will not be red
probability of first light being red = 0.22 + 0.33 = 0.55
(P1) * (P2) = 0.22
Substituting the given values, we get -
0.55 * P2 = 0.22
P2 = 0.4
You randomly roll a number cube (single die).
What is the probability that you roll a 4.
Group of answer choices
2/3
6
1/6
4/5
Answer:
The probability that you will roll a 4 is 1/6
Step-by-step explanation:
A basic number cube has 6 sides.
Each side is marked by one of the numbers: 1, 2, 3, 4, 5, 6
The 4 is only on one out 6 of the sides so it is 1/6 probability
Please considering pressing the thank you button if it helped.
Which of the following is a rational number
answer:
a. √36
step-by-step explanation:
a rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero, whereas an irrational number cannot be expressed in the form of fractions√36 = rational — the answer to this is 6 and it is a whole number
-√12 = -3.46410161514... — it is repeating without an order so irrational
5/0 = irrational — the denominator cannot be a 0
π = irrational — pi is always irrational
Find the measure of the arc or angle indicated
Find the value of x
I give you 10 points if you help
Step-by-step explanation:
x = 55
I hope this is helpful
The terms shown below are the first three terms of a geometric sequence whose common ratio is positive.
7, 4x+8, 112.
a) Determine the value of the common ratio
b) Determine the value of X algebraically.
Answer:
a. 4
b. 5
Step-by-step explanation:
a. r = √(112/7) =√16 =4
b. 4x+8 = 28
4x = 28-8
4x = 20
x= 5
The value of X algebraically is 5 and the common difference is;4.
What is a geometric sequence?There are three parameters which differentiate between which geometric sequence we're talking about.
The first parameter is the initial value of the sequence.
The second parameter is the quantity by which we multiply previous term to get the next term.
We are given that terms shown below are the first three terms of a geometric sequence whose common ratio is positive.
7, 4x+8, 112
Therefore, the common difference is;
r = √(112/7) =√16
r =4
Now, 4x+8 = 28
4x = 28-8
4x = 20
x= 5
The value of X algebraically is 5.
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Can you please Solve for x?
tan( 31 ) = x / 39
0.600860619 = x / 39
x = 0.600860619 × 39
x = 23.433564141
______________________________
Round to the nearest tenth :
x = 23.4
Round to the nearest hundredth :
x = 23.43
Find the sum of the first 30 terms for the given arithmetic sequence.
8, 1, -6, -13,...
-3107
-2805
-1705
-2508
Answer:
Step-by-step explanation:
Find the last term of the sequence.
a1 = 8
d = -7
n = 30
a30 = 8 + (n - 1)*(-7)
a30 = 8 + (30 - 1)*-7
a30 = 8 + 29*-7
a30 = 8 - 203
a30 = -195
Sum = (a + L)*n/2
Sum = (8 + -195) * 30/2
Sum = - 187 * 15
Sum = - 2805
what is a 10th term and the first 3 terms of :(
−
2
)
⋅
Step-by-step explanation:
your question is quite easy but the way you put it makes it complicated for me to understand. please can you rewrite it in a more easier way
What type of number is
5
6
A) rational
B) irrational
C) integer
D) whole
Answer:
whole number if you can pick more choices it would be A, C, and D
hope this helps
have a good day :)
Step-by-step explanation:
the radius of a circle is 14.2 m. Find the circumference to the nearest tenth.
Answer:
C=89.2
Step-by-step explanation:
The formula of the circumference of a circle is C=2piR (or C=piD). Now, when calculating, plug in the numbers, giving you C=2pi14.2. Multiply everything, you get a super long irrational number; just round. You will get 89.2.
Write an equation of the line with slope -1 passing through (8,5).
Answer:
y = -1x + 13
Step-by-step explanation:
y = -1x + b
5 = -1(8) + b
5 = -8 + b
13 = b
You want to buy a new HD TV for $454.95. The salesperson says if you buy the weekend of Father's day you can get a 15% discount. Find the following.
The Discount = enter how much you will save, not the percentage.
Price after Discount =
Sales Tax = (Use a sales tax of 8.25%)
Total Cost =
Answer:
See below.
Step-by-step explanation:
454.95x.15=68.24 DISCOUNT
454.95-68.24=386.71 Price After Discount
386.71x.0825=31.91 Sales Tax
386.71+31.91=418.62 Total Cost
Find the value of x, when log 10x + log 2 = log 60
Answer:
x = 3
Step-by-step explanation:
log 10x + log 2 = log 60
Subtract log 2 from each side
log 10x + log 2 -log 2 = log 60 - log 2
log 10x = log 60 - log 2
We know that log a - log b = log (a/b)
log 10 x = log (60/2)
log 10x = log 30
We know log a = log b that a = b
10x = 30
Divide by 10
10x/10 = 30/10
x =3
Is 2.99 irrational or rational?
Answer:
rational
Step-by-step explanation:
its decimal expansion terminates after 9 and it can also be represented as fraction.
Answer:
Rational
Step-by-step explanation:
Irrational numbers are numbers that cannot be written as a fraction (denominator of 1 does not count). 2.99 can easily be written as a fraction (e.g. [tex]\frac{299}{100}[/tex]) and therefore is rational.
What attributes were used to organize the shapes in Circle A and Circle B?
I need a answer ASAP! And I really want it to be right!!
Have a great day!
For circle A, attribute used is right angle.
For circle B, attribute used is parallel lines.
What is right triangle?A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle.
What are Similarities of square, rectangle and parallelogram?A square, rectangle and parallelogram are quadrilaterals. Opposite sides of square, rectangle and parallelogram are parallel to each other. Adjacent angles of square, rectangle and parallelogram are supplementary. Diagonals of square, rectangle and parallelogram bisect each other.
Circle A consists of triangles.
By observing clearly that in circle A there are two right angled triangles.
For circle A, attribute used is right angle.
Circle B consists of 1 square, 1 rectangle and 2 parallelogram.
We know that in a square, rectangle and parallelogram, there are two pair of parallel lines. Opposite sides of square, rectangle and parallelogram are parallel to each other.
For circle B, attribute used is parallel lines.
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Sue is two years older then Lily who is twice as old as Heather. if the total ages of all the girls is 27, how old is each girl?
Answer:
sue = 12
lily = 10
heather = 5
Step-by-step explanation:
'l' = lily's age
'h' = heather's age
sue = 'l + 2' but, since 'l' is 2h we can say sue's age is '2h+2'
l = 2h
2h+2 + 2h + h = 27
5h = 25
h = 5
l = 2(5) = 10
sue is 10+ 2, or 12
Y/3+y/4=5/6
Find the LCD that would eliminate the fractions
Answer:
the answer is in the picture
One ticket to a show costs $20 at full price. Susan buys 4 tickets using a coupon that gives her 25% discount.
Answer: [tex]\$60[/tex]
Step-by-step explanation:
Given
One ticket costs $20
Susan buys 4 tickets with 25% discount
Cost of 4 tickets is [tex]4\times 20=\$80[/tex]
On applying discount, it costs
[tex]\Rightarrow 80-80\times 0.25\\\Rightarrow 80(1-0.25)\\\Rightarrow 80\times 0.75=\$60[/tex]
So, total cost of tickets is [tex]\$60[/tex].