Answer: Hot dog = $3.50
Drink = $2.0
Step-by-step explanation:
Let the cost of a hot dog be x
Let the cost of a drink be y.
From the question above, we can form an equation as:
3x + 4y = 18.50 ....... i
4x + 2y = 18 ......... ii
Multiply equation i by 4
Multiply equation ii by 3
12x + 16y = 74 ...... iv
12x + 6y = 54 ...... v
Subtract v from iv
10y = 20
y = 20/10
y = 2
A drink cost $2
From equation ii
4x + 2y = 18
Recall that y = 2
4x + 2(2) = 18
4x + 4 = 18
4x = 18 - 4
4x = 14
x = 14/4
x = 3.5
A hot dog ost $3.50
Rewrite using a single positive exponent.
8
.8
-3
What is 4 5/13 as a decimal rounded to the nearest tenth
Answer:
4.4
Step-by-step explanation:
4 5/13 = 4 + 5/13 = 4 + 0.384615... = 4.384615...
Answer: 4.4
Answer:
4.4
Step-by-step explanation:
PLEASE HELP ME WITH THIS QUESTION! I haven’t got any answers for this question so please help!
Answer:
15 slices
5 slice more
Step-by-step explanation:
1 and 1/4 ÷ 1/12 = 15
5/6 ÷ 1/12 = 10
15 - 10 = 5
Solve the equation -25p – 2 = 48 for p.
A. -2
B. 1
C. 3
D. 8
Answer:
A. -2
Step-by-step explanation:
-25p - 2 = 48
First, add 2 to both sides
That gives you
-25p = 50
Then, divide both sides by -25. Then that leaves the answer.. p = -2
What is the value of the expression of 1.623/100
Step-by-step explanation:
1.623/100
=1.623×10^-2
or
=0.01623
Hope it helps
The square root of 5 , has a decimal expansion that does not end or repeat. To which set of numbers does it belong?
A. rational
B. Natural
C. Integer
D. Irrational
Answer:
Irrational numbers is correct.
The required square root of 5 is an irrational number.
Given that,
The square root of 5, has a decimal expansion that does not end or repeat. To which set of numbers does it belong is to be determined.
In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.
What are irrational numbers?An irrational number is a type of real number which cannot be represented as a simple fraction or the values that have face value are irrational numbers. Example: √2, √3, and π are all irrational.
Here,
√5 = 2.2360679775..
Which is an irrational number.
Thus, the required square root of 5 is an irrational number.
Learn more about rational numbers here:
https://brainly.com/question/17450097
#SPJ2
Find the perimeter of the shaded region. Round your answer to the nearest hundredth.
Answer:
59.16 units
Step-by-step explanation:
Given that,
The length of rectangle, L = 13
The breadth of the rectangle, B = 6
The perimeter of the shaded region = perimeter of rectangle - 2(perimeter of semicircle)
[tex]P=13\times 6-[2\times \dfrac{2\pi r}{2}]\\\\=78-2\pi r\\\\=78-2\times 3.14\times 3\\\\=59.16[/tex]
So, the perimeter of the shaded region is 59.16 units.
Anna makes a quilt by sewing together green, white, and yellow fabric. When she finishes, 2/6 of the quilt is green, and 3/6 is yellow. The rest is white. What fraction of the quilt is white? Show your work.
Answer:fraction of the quilt is white = 1/6
Step-by-step explanation:
Let the total quilt be = 1 ( since we are dealing with fraction)
The portion of quilt that is green 2/6
The portion of quilt that is yellow 3/6
The portion that is white = Total quilt −( portion of quilt that is green and yellow)
=1−( 2/6 + 3/6 )
=1 −5/6
=1/6
Evaluate -4x^2 + 2x - 6 when x = -2.
Answer:
-26
Step-by-step explanation:
-4(-2)^2 + 2(-2) - 6
-4(4) + -4 - 6
-16 -10
-26
The value of equation [tex]-4x^{2}+2x-6[/tex] is -26 when x = -2
What is equation?"An equation is a statement of equality between two expressions consisting of variables and/or numbers."
Substitute the value x = -2 in the given equation
[tex]=-4(-2)^{2}+2(-2)-6 \\=-4(4)-4-6\\=-16-4-6\\=-16-10\\=-26[/tex]
Hence, the value of the given equation is -26
To learn more about equation here
https://brainly.com/question/12263808
#SPJ2
Mary has a budget for groceries fuel, and utilities. She spent 30% of her budget in groceries if mary spent 42$ on groceries than how much is her budget
Given:
Mary spent 30% of her budget in groceries.
She spent 42$ on groceries.
To find:
The total amount of her budget.
Solution:
Let x be the total amount of the budget.
Then, the amount spent on groceries is 30% of x.
[tex]\dfrac{30}{100}x=0.3x[/tex]
She spent 42$ on groceries.
[tex]0.3x=42[/tex]
Divide both sides by 0.3.
[tex]x=\dfrac{42}{0.3}[/tex]
[tex]x=140[/tex]
Therefore, the total amount of the budget is 140$.
find the unknown value in the pair of equivalent fractions.
5/? = 15/45
Answer each question.
Help please its geometry
Answer:
b
Step-by-step explanation:
Opposite angles are equal in a parallelogram. Therefore 2 angles are 112°. Angles in a parallelogram or any quadrilateral are equal to 360°. To find the remaining sides: 360-(112×2) and divide your answer by 2.
2 24-5what is 24 - 2x wanted to 24 - 5 exponent
Answer:
24-5:x2
Step-by-step explanation:
im not sure
mark brainliest if it helps
Find the total surface area of the prism
Answer:
A. 88 square inches
Step-by-step explanation:
I hope this is right
Answer:
88in^2
Step-by-step explanation:
find the surface area of each surface
4 x 2 = 8
2 x 6 = 12
6 x 4 = 24
there is 2 of each type of surface so multiply by 2 then add all surface areas together
16 + 24 +48 = 88
The straight line y = 3x +2 intersects the curve y = 2x^2 + 7x-11 at two points. Find the coordinates of these two points Give your answers correct to 2 decimal places.
Given:
The equation are
[tex]y=3x+2[/tex]
[tex]y=2x^2+7x-11[/tex]
To find:
The coordinates of intersection points.
Solution:
We have,
[tex]y=3x+2[/tex] ...(i)
[tex]y=2x^2+7x-11[/tex] ...(ii)
From (i) and (ii), we get
[tex]3x+2=2x^2+7x-11[/tex]
[tex]0=2x^2+7x-11-3x-2[/tex]
[tex]0=2x^2+4x-13[/tex]
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then by quadratic formula:
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
In the equation [tex]0=2x^2+4x-13[/tex], we have [tex]a=2,b=4,c=-13[/tex].
Using quadratic formula, we get
[tex]x=\dfrac{-4\pm \sqrt{4^2-4(2)(-13)}}{2(2)}[/tex]
[tex]x=\dfrac{-4\pm \sqrt{16+104}}{4}[/tex]
[tex]x=\dfrac{-4\pm \sqrt{120}}{4}[/tex]
Now,
[tex]x=\dfrac{-4+\sqrt{120}}{4}[/tex] and [tex]x=\dfrac{-4-\sqrt{120}}{4}[/tex]
[tex]x=1.7386[/tex] and [tex]x=-3.7386[/tex]
[tex]x\approx 1.74[/tex] and [tex]x\approx -3.74[/tex]
Putting x=1.74 in (i), we get
[tex]y=3(1.74)+2[/tex]
[tex]y=5.22+2[/tex]
[tex]y=7.22[/tex]
Putting x=-3.74 in (i), we get
[tex]y=3(-3.74)+2[/tex]
[tex]y=-11.22+2[/tex]
[tex]y=-9.22[/tex]
Therefore, the coordinates of the intersection points are (1.74, 7.22) and (-3.74,-9.22).
Eric takes a train to his parent’s house 320 miles away. If the trip takes 4 hours, what is the unit rate of the train?
1. Use the known information to write a rate.
2. The train’s rate: StartFraction 320 miles over 4 hours EndFraction
3. Write an equivalent rate with a denominator of 1.
4. Unit rate:
5. Check: The product of the unit rate and the total time should equal the total distance
Answer:
80 miles per hour
Step-by-step explanation:
Answer:
80 mph
cheese
Step-by-step explanation:
How would you solve this?
Answer:
The equation has three solutions:
x= [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex]
x=1
x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
||[tex]4^{x} - 3[/tex]|[tex]-2[/tex]| = 1
|[tex]4^{x} - 3[/tex]|[tex]-2[/tex] = 1 |[tex]4^{x} - 3[/tex]|[tex]-2[/tex] = - 1
|[tex]4^{x} - 3[/tex]| = 1+2 |[tex]4^{x} - 3[/tex]| = -1+2
|[tex]4^{x} - 3[/tex]|=3 |[tex]4^{x} - 3[/tex]| = 1
[tex]4^{x} - 3[/tex] =3 [tex]4^{x} - 3[/tex] = - 3 [tex]4^{x} - 3[/tex] = 1 [tex]4^{x} - 3[/tex] = - 1
x= [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex] x∉∅ x=1 [tex]x = \frac{1}{2}[/tex]
The union of these four solutions is: [tex]\frac{1}{2} , 1,[/tex] [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex]
I hope this is clearly and understandably written to you :)
2+5.67890654321678-5432
Lilo has 1,000 minutes per month on her cell phone plan. Write and solve an inequality showing the maximum number of minutes that Lilo can use it not be charge extra on her cell phone plan when she only used 615 minutes.
Answer:
Lilo has a maximum of 385 minutes to use on her cell phone.
A ≤ 385
Step-by-step explanation:
Let letter A represent the additional number of minutes that Lilo can talk
A + 615 ≤ 1,000
subtract 615 from both sides
A + 615 - 615 ≤ 1,000 - 615
A + 0 ≤ 385
A ≤ 385
Lilo has a maximum of 385 minutes to use on her cell phone.
A + 615 ≤ 1,000; A ≤ 385
Frost used 4 2/3 gallons of paint to paint 1 2/5 of a shed how many gallons of paint will it take to paint a whole shed?
Answer:
1 2/5
Step-by-step explanation:
Find the simple interest paid on a loan of $4,750 at a rate of 19.5% for 30 months.
Answer:
Monthly Payment $201.31
Total Interest Paid $1,289.26
Total Paid $6,039.26
Step-by-step explanation:
Simplify the expression. 9.6r - 6.3r =
3.0 r is the answer
Step-by-step explanation: I help ;)
what is the table rule
Answer:
x+4 = y
Step-by-step explanation:
Pretty simple
The value of Kensington's car decreases in value according to the exponential decay
function V
Pe-0.12t , where Vis the current value of the vehicle, t is the
number of years Kensington has owned the car and P is the purchase price of the car,
$20,000. To the nearest dollar, what will be the value of Kensington's car in 8 years?
use the following values for x {-1 ,0 , 1 , 2 } for the function f{x} = 4x+3 to make a function table
please help me , and thanks
Answer:
f(x)= -1
f(x)= 3
f(x)= 7
f(x)= 11
Step-by-step explanation:
You need to add the values of x into the function
f(x)= 4(-1) + 3
f(x)= 4(0) + 3
f(x)= 4(1) + 3
f(x)= 4(2) + 3
In XYZ, X = 57 cm, z = 54 cm and ZZ=112°. Find all possible values of ZX, to the
nearest degree
Answer:
No Possible Triangles
Step-by-step explanation:
Deltamath
Answer:
102
Step-by-step explanation:
sinA/a = sinB/b
sin x /57=sin 112/54
0.9786941
sin ^ -1 (0.786941)=78
180- 78=102
HELP please I don’t know what to do
Answer:
47 degrees
Step-by-step explanation:
180-133=47
Answer:
∠Q = 44°
Step-by-step explanation:
∠R = 180° - 133° = 47°
∠Q = 180° - 89° - 47° = 44°
Please help, we only have about a few minutes left.
The value of 3° is
its from the chapter exponenets
Answer:
1
Step-by-step explanation:
=>. the value of 3° = 1
=> it is known to us that any number to the
power zero is equals to 1
hope it helps