Answer:
A pound of potato costs $3.10
A dozen egg costs $5.5
A wheel of cheese costs $6.25
Step-by-step explanation:
Represent
- a dozen egg with D
- a wheel of cheese with W
- a pound of potato with P
For Adam:
[tex]3D + W + 5P = 38.25[/tex] ---- (1)
For Barry:
[tex]D + 10P = 36.50[/tex] ---- (2)
For Charles:
[tex]2D + 2P = 17.20[/tex] ---- (3)
Make D the subject in (2)
[tex]D = 36.50 - 10P[/tex]
Substitute 36.50 - 10P for D in (3)
[tex]2(36.50 - 10P) + 2P = 17.20[/tex]
[tex]73 - 20P + 2P = 17.20[/tex]
[tex]73 - 18P= 17.20[/tex]
Collect Like Terms
[tex]- 18P= 17.20 - 73[/tex]
[tex]- 18P= -55.8[/tex]
[tex]18P= 55.8[/tex]
Solve for P
[tex]P = 55.8/18[/tex]
[tex]P = 3.1[/tex]
Substitute 3.1 for P in [tex]D = 36.50 - 10P[/tex]
[tex]D=36.50 - 10 * 3.1[/tex]
[tex]D=36.50 - 31[/tex]
[tex]D=5.5[/tex]
Substitute 3.1 for P and 5.5 for D in [tex]3D + W + 5P = 38.25[/tex]
[tex]3(5.5) + W + 5(3.1) = 38.25[/tex]
[tex]16.5 + W + 15.5 = 38.25[/tex]
Solve for W
[tex]W = 38.25 - 16.5 - 15.5[/tex]
[tex]W = 6.25[/tex]
HELP PLEASE I DONT UNDERSTAND AND NEED TO PASS
Answer:
20 for de first one and answer (B) for the second.
Step-by-step explanation:
20 for de first one and answer (B) for the second.
hope this helped;3
talk to me i talk back
Answer:
Hi, parrot
Step-by-step explanation:
Please give me brainliest
Does anyone has Algebra ll and if so can you please help me with this problem 5i/-2-6i And also I can't pay you but I hope God can give more good luck
Answer:
[tex]s = \frac{5i}{-2-6i} = -\frac{30}{40}-\frac{10}{40}i[/tex]
Step-by-step explanation:
We have the following complex number [tex]s = \frac{5i}{-2-6i}[/tex], we proceed to simplify the expression as follows:
1) [tex]\frac{5i}{-2-6i}[/tex] Given.
2) [tex](5i)\cdot (-2-6i)^{-1}[/tex] Definition of division.
3) [tex][(5i)\cdot (-2-6i)^{-1}]\cdot [(-2+6i)\cdot (-2+6i)^{-1}][/tex] Modulative and associative properties/Existence of the additive inverser
4) [tex][(5i)\cdot (-2+6i)]\cdot [(-2-6i)^{-1}\cdot (-2+6i)^{-1}][/tex] Commutative and associative properties.
5) [tex][(5i)\cdot (-2+6i)]\cdot [(-2-6i)\cdot (-2+6i)]^{-1}[/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
6) [tex][(5i)\cdot (-2+6i)]\cdot [4+36]^{-1}[/tex] [tex](a+b)\cdot (a-b) = a^{2}-b^{2}[/tex]/Definition of complex number/ [tex]a\cdot (-b) = -a\cdot b[/tex]
7) [tex][(5i)\cdot (-2)+(5i)\cdot (6i)]\cdot 40^{-1}[/tex] Definition of sum.
8) [tex](-10\cdot i+30\cdot i^{2})\cdot 40^{-1}[/tex] [tex]a\cdot (-b) = -a\cdot b[/tex]/Associative and commutative properties.
9) [tex](-30-10i)\cdot 40^{-1}[/tex] Commutative properties/Definition of complex number/ [tex]a\cdot (-b) = -a\cdot b[/tex]
10) [tex]-30\cdot 40^{-1}-(10i)\cdot 40^{-1}[/tex] Distributive property.
11) [tex]-\frac{30}{40}-\frac{10}{40}i[/tex] Definition of division/Result.
[tex]s = \frac{5i}{-2-6i} = -\frac{30}{40}-\frac{10}{40}i[/tex]
Through (-3,-2), perpendicular to y=-x-4
Answer:
your answer is not perpendicular
Step-by-step explanation:
so first you put the y which is -2 and the -x with -3
[tex]-2=(-3)-4[/tex]
when you subtract the -3 from 4 you will get 7
[tex]4-(-3)=7[/tex]
7 is not equal to -2 so it is not perpendicular
[tex]7\neq -2[/tex]
Two sides of a triangle are equal in length, and the third slide is 5 less than the length of the equal sides. If the perimeter of the triangle is 49, how long are it's sides?
Answer:
The sides are 14.6, 14.6, 9.6
Step-by-step explanation:
Step one:
given
Perimeter= 49
let the equal sides of the triangle be x
so the third side will be x-5
hence the first side is=x
the second side =x
and the third side=x-5
the perimeter of triangle is
P= A+B+C
where A B and C represents all the sides
49=x+x+(x-5)
solve for x
49=2x+x-5
49=3x-5
49-5=3x
44=3x
x=44/3
x=14.6
Hence the third side is
=x-5=14.6-5
=9.6
The sides are 14.6, 14.6, 9.6
Answer:
18 for same length and 13 for 3 length
Step-by-step explanation:
★PLSSSSS HELPPPPPPPPP★
Answer:
I cant really read the question
If G( x ) = 3 x + 1, then G -1 (1) is...
-1/3
-4
-0
Answer:
-4
Step-by-step explanation:
3+1 = 4 so just put a dash at the start and you ger -4
Please hurry I need this fast
Answer:
Option 2
Step-by-step explanation:
∠CAB ≅ ∠CED (Given)
∠ACB ≅ ∠ECD (Vertical angles)
2). AA
what is the area of ABC round to the nearest tenth of a square unit
Jada’s bike wheels have a diameter of 20 inches. How far does she travel if the wheels rotate 37 times?
A. 2,549 inches
B. 2,324 inches
C. 2,347 inches
D. 2,515 inches
(SHOW YOUR WORK FOR A BRAINLIEST)
Answer:
C
Step-by-step explanation:
Answer:
B. 2,324 inches
Step-by-step explanation:
You need to find the circumference of the bike wheels first so that you know how much she would travel if her wheels rotated 1 time. Circumference of circle = pi × d
1 time = 20pi
37 times = 20pi × 37
= 740pi
= 2324.778564...inches
The diameter of a cartwheel is 2.1 m. Find the distance travelled when it completes 100 revolutions.
You need to find the circumference of the cartwheels first so that you know how much it would travel if her wheels revoluted 1 time. Circumference of circle = pi × d
1 revolution = 2.1pi
100 revolutions = 2.1pi × 100
= 210pi
= 659.7344573...m
The diameter of a circular park is 98 m. Find the cost of fencing it at $4 per meter.
You need to find the circumference of the park first so that you know how much it would cost. Circumference of circle = pi × d
Circumference of park = 98pi
Cost of fencing = 4 × 98pi
= 392pi
= $1231.50
≈ $1232.00
Simplify
-4x+2x2-x2+5-3x
Answer:
9 - 7x - x²
Step-by-step explanation:
-4x+2x2-x²+5-3x = -4x-3x+2x2+5-x²
I arranged the like terms together so it is easier to do the calculations.
-4x-3x+2x2+5-x² = -7x+4+5-x²
Simplify.
-7x+4+5-x² = 9-7x-x²
Answer:
[tex]x^{2} -7x+5[/tex]
Step-by-step explanation:
First, organize it by highest degrees: [tex]2x^{2} -x^{2} -4x-3x+5[/tex]
Then combine like terms: [tex]x^{2} -7x+5[/tex]
A park in the shape of a rectangle is 18 miles long and 24 miles wide. How much shorter is your walk
if you walk diagonally across the park instead of along the two sides of it?
Cab you please help me...
Answer:
- 2x² + x + 42x² + x + 43Step-by-step explanation:
Given functions
r(x) = x + 4s(x) = 2x²Finding (r-s)(x), (r+s)(x), (r*s)(-1)
(r - s)(x) = r(x) - s(x) = x + 4 - 2x² = - 2x² + x + 4(r + s)(x) = r(x) + s(x) = x + 4 + 2x² = 2x² + x + 4(r*s)(-1) = r(-1)*s(-1) = (-1 + 4)*(-1)² = 3*1 = 3Answer:
1. - 2x² + x + 4
2. 2x² + x + 4
3. Answer = 3
Example functions we are given:
r(x) = x + 4
s(x) = 2x²
Now, we Find (r-s)(x), (r+s)(x), (r*s)(-1)
(r - s)(x) = r(x) - s(x) = x + 4 - 2x² = - 2x² + x + 4
(r + s)(x) = r(x) + s(x) = x + 4 + 2x² = 2x² + x + 4
(r*s)(-1) = r(-1)*s(-1) = (-1 + 4)*(-1)² = 3*1 = 3
Enter the equation in standard form.
y = 4x − 2
Answer:
y-4x=-2
Step-by-step explanation:
standard form is just putting both variables on the same side.
hope this helps :)
Determine the type of triangle that is drawn below.
Answer: equilateral
Step-by-step explanation:
Which statement is true?
Answer:
Step-by-step explanation:
c.
Your buddy constructs an angle bisector BD−→− for ∠ABC. She says that m∡ABD and m∡DBC formed by the angle bisector are congruent. Do you think that is always, sometimes or never true for angle bisectors?
Answer:
Always true
Step-by-step explanation:
The definition of an interior or internal angle bisector is the the dividing line segment that splits the angle into two equal angles (parts)
Therefore, given that the segment BD is the bisector of ∠ABC, then the formed angles m∡ABD and m∡DBC are, by definition of bisected ∠ABC, always congruent
Leslie and Surekha were standing on opposite sides of a road. Suddenly, they spotted a puppy stranded on the road and both rushed straight to where the puppy was, to pick it up. If Leslie ran at an angle of 35 degrees to the edge of the road and Surekha at an angle of 70 degrees, at what angle did their path meet?
Answer:
75°
Step-by-step explanation:
we can form a triangle to help us understand how to solve this problem:
puppy
∠ Leslie = 35° ∠ Surekha = 70°
If Leslie's angle is 35° and Surekha's angle is 70°, that gives us a total of 105°. Since the sum of the triangle's three angles is 180°, then the angle at which they will meet is 180° - 105° = 75°
In this exercise, we have to calculate the angle of the path that they met, so we will have:
75°
We know that the geometric figure in question is a triangle and that the sum of its internal angles must be equal to 180 degrees, thus:
[tex]180-105=X\\180-105=75\\[/tex]
See more about triangles at brainly.com/question/2269348
help ! but people who cannot help me with this please don't answer because i don't know how to do this. i was not in class when they reviewed this, you don't have to give me the answer but at least tell me how to do it.
Answer:
$16
Step-by-step explanation:
If 3 rides cost $28 and 6 rides cost 40, each ride costs $4. 28 - (3 x 4) = $16 admission fee
Carlos bought 4 yards of packing tape. He used 1 3/5 yards on a package for his father and 2 1/3 for a package. How many yards of packing tape does Carlos have left (only write the fraction with no words as your answer)?
Answer:
1/15 yards
Step-by-step explanation:
Total yards of packing tape = 4 yards
Yards used for his father = 1 3/5 yards
Yards used for another package = 2 1/3 yards
Total yards used = 1 3/5 + 2 1/3
= 8/5 + 7/3
= 24+35/15
= 59/15 yards
How many yards of packing tape does Carlos have left
Total yards left = Total yards of packing tape - Total yards used
= 4 - 59/15
= 60-59/15
= 1/15
Total yards left = 1/15 yards
please ive been trying to get help all day :(
Answer:
its D
Step-by-step explanation:
Draw the shape!
Find the volume!
PLEASE INCLUDE WORK!
The first several steps of evaluating (-2)(3&4/7) are shown, including the distributive property. What is (-2)(3&4/7)?
Answer:
-7 1/7
Step-by-step explanation:
Answer:
a or 7 1/7
Step-by-step explanation:
One side of a rhombus is 9 ft. What
is its area?
Answer:
48
Step-by-step explanation:
just sub in the formula
solve the following equation
7/3x=5
Answer:
15/7. This the answer answer. But if it tells you simplify this then simplify it.
Step-by-step explanation:
Answer:
X = 15/7
Step-by-step explanation:
what distinguishes the diagonals of rectangles from those of other parallelograms
Answer: The diagonals are thus equal, and divides the rectangle into right triangles, whereas the diagonals of a parallelogram are not equal and bisect it into two congruent triangles with angles depending on that of the parallelogram.
Simplify [2(5 – 4) + 6(7 – 3)] ÷ 2
A 21
B 13
C 15
D 19
Answer:
B
Step-by-step explanation:
ill make you brainliest just please help me <3
Answer: the answer is below!!!!!!
Step-by-step explanation:
first: take 28 and divide it by 2 and you will get 14
now take 2 and divide it by 2 and you will get 1
now take the 14 put it over 1 like this------>14/1
Second:take the 5 and divide it by 2 and you get 2.5
not take the 2 and divide it by 2 and you get 1
now take 2.5 and put it over the 1 like this-------->2.5/1
third: take the 3 and divide it by 3/4
When the distributive property is used to solve the equation 9(x+4)=8x-3, what is the next step.
Can uh help me Please
with work show will give uh brainlish!!!
Answer:
2a. 9854, 24219, 30045
2b. 7986, 17213, 19000, 88344
3a. 108359
3b. 41059
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
Answer:
Q2. a. 9854; 24219; 30045
Q2. b. 7986; 17213; 19000; 88344
Q3 a. 108349
Q3 b. 41059