Today's cafeteria specials at a high school in Westford are a deluxe turkey sandwich and a chef salad. During early lunch, the cafeteria sold 13 turkey sandwiches and 69 chef salads, for a total of $151. During the late lunch, 61 turkey sandwiches and 41 chef salads were sold, for a total of $143. How much does each item cost?
Answer:
chef salads = $2
turkey sandwiches = $1
Step-by-step explanation:
two equations can be derived from the question
13t + 69c = 151 eqn 1
61t + 41c = 143 eqn 2
t = turkey sandwiches
c = chef salads
multiply equation 1 by 61 and equation 2 by 13
793t + 4209c = 9211 eqn 3
793t + 533c = 1859 eqn 4
subtract equation 4 from 3
7352 = 3676c
c =2
substitute for c in equation 1
13t + 69(2) = 151
13t + 138 = 151
13t = 151 - 138
13t = 13
t = 1
Susie flips a coin three times. what is the probability of her getting tails all three times?
Answer:
18
Step-by-step explanation:
Hoped this helped!!
Answer:
1/8 or 12.5%
Step-by-step explanation:
It is a 0.5 percent chance of getting tails in a coin flip. Since you flip the coin three times, multiply the probability of getting tails in a coin flip three times. (0.5) Times (0.5) Times(0.5)= 1/8 or 12.5%.
Classify the quadrilateral.
and what do the arrows mean?
Answer:
parallelogram is yr answer.
and the arrow means the direction of line.
stay safe healthy and happy.The temperature was 70 then dropped to 30 how much is it now?
Answer:
nmdjskln Jdj
Step-by-step explanation:
A man walks 1500 metres.
On a map this is shown as 3cm.
What is the scale on the map?
The scale on the map is 1 cm for 500 m.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Given that, A man walks 1500 metres. on a map, this is shown as 3 cm.
3 cm = 1500 m
1 cm = 500 m
Hence, The scale on the map is 1 cm for 500 m.
For more references on scale, click;
https://brainly.com/question/841108
#SPJ2
...5, ___, 29, .....
The missing term is ___
Answer:
17
Step-by-step explanation:
I think the answer is 17 if helpful please mark me brainliest!
Answer:
12
Step-by-step explanation:
see if you do the math you will find out that its 12 17+12=29
A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square prism.The company wants to use the package that has the least amount of wasted space. The company should choose
Answer:
The Company should choose to get the cylinder packages ( V = 42.39 in³ )
Step-by-step explanation:
The volume of a cylinder of radius of circumference 1.5 in and h = 1.5*4
h = 6 in is:
V(c) = π *r²*h = π * (1.5)²*6 = π *2.25*6
V(c) = 42.39 in³
Now V(p) = Square of the base ( of side 3 in) * h
h = 6 in
V(p) = (3)²*6
V(p) = 54 in³
If we compare these two volumes we see that the volume of the cylinder is small than that of the square prism
Find the volume of the rectangular prism
Thank you!!
Answer:90
Step-by-step explanation: do length x base x height to get your answer
The restaurant manager wants to find how much they are spending for pies and cakes. Last week they payed 204$ for 12 pies and 8 cakes
Answer: See explanation
Step-by-step explanation:
Your question isn't complete and I couldn't get the exact question online but let's reframe it and solve it.
The restaurant manager wants to find how much they are spending for pies and cakes. Last week they payed 204$ for 12 pies and 8 cakes. This week, they paid $129 for 5 pies and 7 cakes.
Let's say the cost of pies is x
Let's say the cost of cake is y.
We'll then use the information given to make an equation which will be:
Last week they payed 204$ for 12 pies and 8 cakes. This will be:
12x + 8y = 204........ i
This week, they paid $129 or 5 pies and 7 cakes. This will be:
5x + 7y = 129 ........... ii
Therefore,
12x + 8y = 204........ i
5x + 7y = 129 .......... ii
Multiply equation i by 5
Multiply equation ii by 12
60x + 40y = 1020 ....... iii
60x + 84y = 1548 ........ iv
Subtract iii from iv.
44y = 528
y = 528/44
y = 12
The cost of cake is $12.
From equation i,
12x + 8y = 204
12x + 8(12) = 204
12x + 96 = 204
12x = 204 - 96
12x = 108
x = 108/12
x = 9
The cost of pies is $9.
PLEASE HELP!!! I really need help with this question, so if anyone could spare a few min then thank you so much!! ;w;
Answer:
Hello! answer: -6
Step-by-step explanation:
Hope that helps!
A rainwater collection tank is shaped like a cylinder with a diameter of 4 ft and a height of 6 ft. What is its volume?
i need help please !
Answer:
[tex]D.\ 7 \frac{3}{4} * \frac{\sqrt{16} }{5} = \frac{31}{4} * \frac{4}{5} = \frac{31}{5} \\\\C. \ 7 \frac{3}{4} + \frac{\sqrt{16} }{5} =\frac{31}{4} + \frac{4}{5} = \frac{171}{20}[/tex]
Help me plz thank you
Answer:C
Step-by-step explanation: 100 x 23/100=23
Determine the equation of the circle graphed below.
Answer:
Step-by-step explanation:
the formula for a circle not on the origin is :
(x−h)^2+(y−k)^2=r^2
for the circle shown it looks like the circle is centered at (1,3)
then h=1 and k=3 and the radius looks to be about 2
(x−1)^2+(y−3)^2=2^2
(x−1)^2+(y−3)^2=4
there is your equation for that circle shown in the graph
Find an expression which represents the sum of (-4x + 3) and (8x + 2) in
simplest terms.
Answer:
4x + 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
(-4x + 3) + (8x + 2)
Step 2: Simplify
Combine like terms (x): 4x + 3 + 2Combine like terms: 4x + 5The radius of a circle is 6 feet. What is the circle's circumference? Use 3.14
What is the area of the shaded region?
12"
7"
15"
Area: _____
square inches
Answer:
first find the area of the triangle by the formula of 1/2 b. h ( . means multiply) then find the area of rectangle by the formula of (length . width) then. the area of rectangle -the area of triangle
Greata had a price of cloth that is 9 yards long. She cuts it into prices that are each 1/3 yard long. How many prices of cloth does Greata have now?
Given:
Length of cloth = 9 yards
Length of pieces = [tex]\dfrac{1}{3}[/tex] yards each
To find:
The number of pieces of cloths after cutting.
Solution:
Let n be the number of required pieces.
Length of each piece is [tex]\dfrac{1}{3}[/tex] yards. So, the length of n pieces is [tex]\dfrac{1}{3}n[/tex] yards.
The length of the whole cloth is 9 yards. So, [tex]\dfrac{1}{3}n[/tex] yards must be equal to 9 yards.
[tex]\dfrac{1}{3}n=9[/tex]
Multiply both sides by 3.
[tex]n=9\times 3[/tex]
[tex]n=27[/tex]
Therefore, the Greata have 27 pieces of cloths.
-4x > 500...........................................
help me pleaseeeee. what is this?
Answer:
104
Step-by-step explanation:
all the angles of a triangle add up to 180, so set up an equation like this:
x+35+41=180
now solve for x
x=180-35-41
x=104
Which is the better buy? 16 cards for $12.20 OR 14 cards for $10.90
Answer:
The better buy is 16 cards for $12.20 because
Step-by-step explanation:
You need to find the individual price for each card in the packet. So first lets do 16 cards for $12.20, you divide $12.20 by 16 to get the price of one card. 12.2/16=0.7625, or about $0.76. Next we do $10.90 divided by 14, 10.9/14=0.7785, or about $0.78, which means 16 cards for $12.20 is the better buy!
Evaluate the piece wise function for the given values of x by matching the domain values to the range values.
Domain values
x=1 f(x)=
x=3 f(x)=
x=5 f(x)=
x=12 f(x)=
x=15 f(x)=
Answer:
when
x=1 then f(x)= -5
x=3 then f(x)= 2
x=5 then f(x)= 18
x=12 then f(x)= 15
x=15 then f(x)= 13
Step-by-step explanation:
An animal with ________ has identical body parts on both sides of its body.
Answer:
Bilateral Symmetry?
Step-by-step explanation:
Which equation gives the volume of the sphere? V = two-thirds (27 pi) V = four-thirds (27) V = two-thirds (27) V = four-third (27 pi)
Answer:
V = four-third (27 pi)
Step-by-step explanation:
Complete question;
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed.
A sphere with height h and radius r. A cylinder with height h and radius r.
Which equation gives the volume of the sphere?
V = two-thirds (27 pi)
V = four-thirds (27)
V = two-thirds (27)
V = four-third (27 pi)
Volume of the cylinder V = πr²h
If Volume is 27pi feet cubed, hence;
27pi = πr²h
27 = r²h
Since r = h
27 = r³
r = ∛27
r = 3
Since the volume of the sphe4/3πr³re = 4/3πr³
Volume of sphere = 4/3π(27)
Volume of sphere = 4/3(27π)
Hence the correct option is V = four-third (27 pi)
My brain is not cut out for this. Plz help lol.
Answer:
Step-by-step explanation:
It’s c
heyy! i’ll give brainliest please help.
2) Mass of the earth is 5976000000000000000000000 kg and that of Uranus is 86800000000000000000000000 kg , which one has greater mass ? and how much ? compare in exponential form.
Step-by-step explanation:
mass of earth=5.976×10^24 and
mass of Uranus =8.68×10^25
the mass of
Uranus is greater than that of the Earth by comparing its power 10
The mass of Uranus is greater than that of the Earth by comparing its power 10
What is an exponential form of 10?It is a shortcut way of writing repeated multiplication involving base and exponents. For example the 3 in [tex]10^{3}[/tex] is called the exponent. The expression [tex]10^{3}[/tex] is called exponential expression.
Given
Mass of the earth = 5976000000000000000000000 kg
Rewrite in exponential form
Mass of the earth = 5.976×10^24
Mass of Uranus = 86800000000000000000000000 kg
Rewrite in exponential form
Mass of the Uranus = 8.68×10^25
∴ 8.68 × [tex]10^{25}[/tex] > 5.976 × [tex]10^{24}[/tex]
We can clearly say that by seeing the exponential form of masses of earth and Uranus i.e.,
The mass of Uranus is greater than that of the Earth by comparing its power 10.
Learn more about exponential form of 10 here
https://brainly.com/question/26540624
#SPJ2
Please help! DO NOT SEND LINK!
Answer:
Mizuki here to answer!
The correct answer would be 15 inches!
Step-by-step explanation:
7200 ÷ (24 x 20) = 15
Answer:
Hello! answer: 15
Step-by-step explanation:
The volume is 7200 volume is found by doing length × width × height therefore the height is 15 because... 24 × 20 × 15 = 7200 HOPE THAT HELPS!
Write the slope intercept form of the equation for a line passing through (-3,-1) and
(0,4)
Answer:
y = 5/3x + 4
Step-by-step explanation:
First, you need to find the slope. Use the slope formula of (y^2-y^1) / (x^2 - x^1).
Plug the numbers in.
(4 - (-1)) / (0 - (-3))
5 / 3
Slope is 5/3
Now, you have an equation of y = 5/3x + b.
Since one of the points shows you what y equals when x=0, that is your y intercept.
What is the surface area of the rectangular prism shown by net?
The surface area of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with flat polygonal faces), for which the surface area is the sum of the areas of its faces. Smooth surfaces, such as a sphere, are assigned surface area using their representation as parametric surfaces. This definition of surface area is based on methods of infinitesimal calculus and involves partial derivatives and double integration.