Set up 2 equations:
Kyle: 5h + 3f = 14.50
Myles: 4h + 2f = 11.00
Lets get the two h's to cancel out.
Multiply Kyle by 4 and Myles by -5:
Kyle: 20h + 12f = 58
Myles: -20h - 10f = -55
Now add the two equations together:
2f = 3
Divide both sides by 2:
f = 3/2
f = 1.50
1 french fry cost $1.50
Now solve for the price of a hot dog:
5h + 3(1.50) = 14.50
5h + 4.50 = 14.50
Subtract 4.50 from both sides:
5h = 10.00
Divide both sides by 5:
h = 2
One hot dog cost $2.00
Roopa takes 8
minutes to jog around the garden. Risha takes 8
minutes to do the same. Who
takes more time and by what fraction?
Answer:
Since them taken same time so the fraction is 1/1
John bought a crate of floor tiles $100. The crate had 5 boxes of floor tiles. Each box contained 40 floor tiles. What is the cost per tile ?
There are 20 students in a math class. Thirty percent of the
students are randomly chosen to participate in a teacher
evaluation. How many combinations of students are possible?
Answer:
Step-by-step explanation:
20% of 30 is 6 are randomly selected.
30 choose 6 = 30! / (30-6)! 6!
= 30! / 24!6!
= 30 * 29 * 28 * 27 * 26 * 25
--------------------------------- <-- 24! cancels
6 * 5 * 4 * 3 * 2 * 1
= 29 * 28 * 27 * 26 * 25
---------------------------------- <--- 30 = 6 * 5 cancels
4 * 3 * 2 * 1
= 29 * 7 * 9 * 13 * 25 <-- 4 cancels 28, 3 cancels 27, 2 cancels 26
= 593775
cómo se clasifican los huesos del esqueleto humano
The bones of the body come in a variety of sizes and shapes. The four principal types of bones are long, short, flat and irregular. Bones that are longer than they are wide are called long bones. They consist of a long shaft with two bulky ends or extremities.
1.0) In spanishLos huesos del cuerpo tienen una variedad de tamaños y formas. Los cuatro tipos principales de huesos son largos, cortos, planos e irregulares. Los huesos que son más largos que anchos se llaman huesos largos. Consisten en un eje largo con dos extremos o extremidades voluminosas.
If i'm wrong please tell me
Help with pic please as siin as possibke SIMPLIFY....
Answer:
[tex]2x^3y^3[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{2x^5y^7} * \sqrt[3]{4x^4y^2} \\\\2x^3y^3[/tex]
find the value of each trigonometric ratio to the nearest ten throusandth.
Answer:
19) 0.8000
20) 0.8824
21) 0.2800
22) 1.8750
23) 0.8000
24) 0.8000
Step-by-step explanation:
sin = opp/hyp
cos = adj/hyp
tan = opp/adj
19) sin Z = 40/50 = 0.8
20) sin C = 30/34 = 0.882352941
21) sin A = 7/25 = 0.28
22) tan X = 30/16 = 1.875
23) cos X = 28/35 = 0.8
24) cos C = 36/45 = 0.8
In ΔOPQ, p = 4.8 cm, o = 4.7 cm and ∠O=69°. Find all possible values of ∠P, to the nearest 10th of a degree.
Answer:
72.4 and 107.6
Step-by-step explanation:
on delta math
You have a cup containing 4 green skittles, 5 red skittles, 7 yellow skittles, and 10 purple skittles. What is the probability of not pulling a purple skittle?
Answer:
about 62%
Step-by-step explanation:
add all of the numbers
subtract the number of purple skittles
do 16÷26
multiply your answer by 100
get 61.5
round up
what is 1+12x-40 evaluated
Answer:
12x-39
Step-by-step explanation:
40-1=39
A 30-foot long escalator forms a 41° angle at the second floor. Which is the closest height of th
141
30 feet
A 20 feet
B. 22.5 feet
C. 24.5 feet
D. 26 feet
Answer:
[tex]\huge\boxed{\text{B) } 22.5 \ \text{feet}}[/tex]
Step-by-step explanation:
We can use basic trigonometric functions to find the closest height of the escalator.
Let's set up a picture from what we already know. The length of the escalator is 30 feet, and it forms a 41 degree angle with the top. Since it will form a 90 degree angle with the ground, we can find the angle between the ground and the beginning of the escalator.
Since all triangles have an angle sum of 180:
[tex]90+41+x=180[/tex] [tex]131+x=180[/tex] [tex]x = 180-131[/tex] [tex]x=49[/tex]Now we know that the triangle looks something like this.
/ | 41°
/ |
/ |
/ |
30 / |
/ |
/ |
/ |
/__________| 90°
49°
We need to find the length of the side between the 41 and 90° angle.
To find which trigonometric operation to use on this triangle, we can use the acronym SOH CAH TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
We can use the sine of the 49 degree angle (opposite / hypotenuse) to find our missing side (since we know the hypotenuse).
Let's set up an equation and solve with our calculator.
[tex]\text{sin}(49) = \frac{\text{opposite}}{\text{hypotenuse}}[/tex] [tex]\text{sin}(49) = \frac{x}{\text{30}}[/tex] [tex]30 \cdot \text{sin}(49) = x[/tex]We can calculate the sine of 49 with our calculator. We'd end up multiply 30 and that value and get 22.6.
Since the closest value to 22.6 on the answer choices is 22.5, the correct answer would be B) 22.5 feet.
Hope this helped!
Answer:
The answer is B.
Step-by-step explanation:
B. 22.5 feet
Amir buys a new car for £16470. The value of the car will depreciate by 2% each year. Work out how much amir's car will cost after 23 years
Answer:
Amir's car will cost £10348.88 after 23 years.
Step-by-step explanation:
I finally found a UK human!
This is compound interest so you have to find a decimal multiplier and multiply that with £16470 to the power of 23.
The decimal multiplier would be 0.98. This is because you do 100% - 2% as depreciating basically means a decrease, which gives you 98% and then you divide that by 100 to get your decimal multiplier - 0.98.
16470 × [tex]0.98^{23}[/tex] = £10348.88
I hope that helps you!! ^-^
Lucas deposits $4,000.00 for 6 years at 2% interest, compounded monthly. How much interest does he earn at the end of the 6 years? Round to the nearest cent. SHOW THE WORK PLEASE
Answer:
$12644.56
Step-by-step explanation:
one year = 12 month
4,000 * (1.02)^(6*12) = 16644.5615
16644.5615-4000 = 12644.5615
Answer:
Step-by-step explanation:
[tex]A=P(1+r/c)^{ct}\\ \\ A=4000(1+.02/12)^{12(6)}\\ \\ A\approx \$ 4509.54[/tex]
Carter, Michelle, and Jen work at a coffee shop. All three of them worked 6 hours on Monday. Michelle and Jen worked 7 hours on Tuesday. On Wednesday, Carter worked 5 hours. On Thursday, Carter and Michelle worked 4 hours, and Jen worked 8 hours. Use a matrix to organize the number of hours all three employees worked Monday through Thursday.
please help, i will give brainliest!! <3
Sorry i dont know what a matrix is but the answer to all 3 of the workers time is, 66
WILL GIVE BRAINLIEST
Which expression correctly represents "nine less than the quotient of a number and four, increased by three”?
A. N/4 - 9 + 3
B. 4/N - 9 + 3
C. 9 - n/4 + 3
D. 9 - 4/n + 3
Answer:
c
a fraction bar Is just a division bar, it's c.
Find the domain of the graphed function
Answer:
D. 2 ≤ x ≤ 5
Step-by-step explanation:
Notice that there are no points on the graph for x ≤ 2 and x ≥ 5. Or another way to look at it is that the x's are between 2 and 5, inclusive.
The domain is the set of possible x values. Therefore, 2 ≤ x ≤ 5 is the set of values for the domain
Find the values of x and y. y=? x=? PLEASE HELP
Answer:
x=15.714
y=5.715
Step-by-step explanation:
Answer:
x=10, y=20
Step-by-step explanation:
okay so to find x, or the way I did it, we just have to look at the top, we know one line is 180 degrees, and we see three angles, 7x,90, and 20
so 90+20+7x=180
and:110+7x=180
therefore: 7x=70
and finally: x=10
To find y also isn't had if we just look at the blue and green lines we see they are intersecting and opposite angles in intersecting lines are congruent meaning they are the same. So we now know that:
5x+2y=90
and we know x=10
so 5x=50
meaning that: 50+2y=90
therefore: 2y=40
and in conclusion y=20
How far from zero is 5.5?
Answer: 5.5
When you subtract 5.5 from 5.5 you get 0
what are the coordinates for the center of the circle in the length of the radius X squared plus Y squared minus X minus 2Y -11 over four equals zero
Given:
The equation of a circle is:
[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]
To find:
The center of the circle and its radius.
Solution:
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex] ...(i)
Where, (h,k) is center and r is the radius of the circle.
The given equation of the circle is:
[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]
Write the given equation in standard form of a circle.
[tex](x^2-x)+(y^2-2y)-\dfrac{11}{4}=0[/tex]
[tex]\left(x^2-x+\left(\dfrac{1}{2}\right)^2\right)+(y^2-2y+1^2)-\dfrac{11}{4}-\left(\dfrac{1}{2}\right)^2+1^2=0[/tex]
[tex]\left(x-\dfrac{1}{2}\right)^2+(y-1)^2-\dfrac{11}{4}-\dfrac{1}{4}-1=0[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2-\dfrac{12}{4}-1=0[/tex]
On further simplification, we get
[tex]\left(x-0.5\right)^2+(y-1)^2-3-1=0[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2-4=0[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2=4[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2=2^2[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]h=0.5,k=1,r=2[/tex]
Therefore, the center of the circle is (0.5,1) and radius is 2 units.
28. Construct a rectangle ABCD in which AB = 4 cm, BC = 3.5 cm. Construct a triangle whose area is equal to that of rectangle ABCD
Answer:
Triangle b = 4, h = 7
Step-by-step explanation:
Rectangle area = L*W
Triangle area = (B*H)/2
Rectangle/2 = Triangle
If you want triangle to = rectangle, then rectangle*2/2
Rectangle = 4*3.5 = 14
Triangle = 4*7 = 28/2 = 14
Find the length of the third side. If necessary, write in simplest radical form 8 5
Answer: c = [tex]\sqrt{89}[/tex]
8² + 5² = c²
64 + 25 = c²
[tex]\sqrt{89}[/tex] = [tex]\sqrt{c^{2} }[/tex]
[tex]\sqrt{89}[/tex] = c
The length of the third side is 9.4.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
Applying Pythagorean theorem.
Third side = x
x² = 8² + 5²
8 x 8 = 64 and 5 x 5 = 25
So,
x² = 64 + 25
x² = 89
x = √89
x = 9.4333
Rounding to the nearest tenth
x = 9.4
Thus,
The length of the third side is 9.4.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ2
)) Evaluate the expression for b = 7.
11b - 75 =
Answer:
The answer is 2.
Step-by-step explanation:
11(7) - 75
77-75
=2
Im giving 30 points pls help
Step-by-step explanation:
Pathagory and Theorem
a^2+b^2=c^2
(x-3)^2+(x-4)^2=6^2
expand:
2x^2-14x+25=36
2x^2-14x-11=0
x=(\sqrt{71}+7)/2
perimeter=(x-3)+(x-4)+6=2x-1
insert the value for x into 2x-1
[tex]\sqrt{71}[/tex]+6=perimeter
Hope that helps :)
9514 1404 393
Answer:
2x -1
Step-by-step explanation:
The perimeter is the sum of the side lengths.
P = 6 + (x -4) + (x -3)
P = 2x -1 . . . . . . collect terms
The perimeter is 2x -1.
_____
Additional comment
There is nothing in the problem statement that suggests this is a right triangle. Without knowing at least one angle, we cannot solve for a numerical value for the perimeter. The problem title suggests we're to leave the result in polynomial form.
Nabil earns $2100 a month. He spends 30 % of it and saves the rest. How much does he save each month?
$ 1470
$ 1400
$ 1450
Answer:
$1470
Step-by-step explanation:
$2100 * 70% = $1470
$7,000 is invested in an account that earns 1.5% annual interest, compounded quarterly. What is the value of the account after 18 years?
Answer:
$9,151.38
Hopefully that is correct!!
SOLVE PLS HURRY PLS INCLUDE STEPS 4a + 1 - a = 19
Answer:
a=6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4a+1−a=19
(4a+−a)+(1)=19 (Combine Like Terms)
3a+1=19
Step 2: Subtract 1 from both sides.
3a+1−1=19−1
3a=18
a=18/3
a=6
--
Part B
What is the density of the plne log? Show your work.
Answer:
Please Provide the an attachment.Then i can show u my answer
Please help ASAP Gavin works as a salesperson at an electronics store and sells phones and phone accessories. Gavin earns a $12 commission for every phone he sells and a $3.50 commission for every accessory he sells. On a given day, Gavin made a total of $135 in commission and sold 12 more accessories than phones. Determine the number of phones sold and the number of accessories sold.
There were
____phones sold and
____ accessories sold.
Answer:
6 phones and 18 accessories
Step-by-step explanation:
12P + 3.50A = 135
A = 12 + P
12P + 3.50(12 + P) = 135,
12P + 42 +3.50P = 135
15.50P = 93
P = 6 phones
A = 12 + 6 = 18 accessories
Can someone pls help need it ASAP and can you pls explain in full detail how to do it
:)
Will give brainlist for the first person to explain and do it
Answer:
x= 1 , y=4
Step-by-step explanation:
x-y= -3 => Equation 1
x+5y= 21 => Equation 2
Substitution Method:
Substitute Equation 1=>
x=y-3 <= Equation 3
Put x=y-3 in Equation 2:
x+5y=21
( y-3)+5y=21
y-3+5y=21
6y-3=21
6y=21+3
6y=24
y=24÷6
y=4
Put y=4 in Equation 1:
x-y= -3
x-4=-3
x=4-3
x=1
Hope this helps :)
Answer:
x = 1
y = 4
Step-by-step explanation:
x - y = -3 then x = y - 3
x + 5y = 21
substitute for x:
y - 3 + 5y = 21
reduce:
6y = 24
y = 4
x = 4 - 3 = 1
check:
1 - 4 = -3
-3 = -3
and
1 + 5(4) = 21
21 = 21
Find the percent of change. Round your answer to the nearest tent necessary, Please explain.
Original price: $185
New price: $160
Original number of students: 56
New number of students: 77
Answer:
No answer just clues
Step-by-step explanation:
x/100*160/1=185/1
y/100*56/1=77/1
I just can't do anymore metal math today, sorry.
What is another word for zeros?
1. roots
2. axis of symmetry
3.vertex
4. y-intercept
Answer:
I think it's vertex bestie not sure tho lmk if it's wrong