Ms. Hartt burns 300 calories when she runs for 1 hour. If Ms. Hartt runs 5 hours in a week how many calories would she burn?
three orders are placed at a pizza shop.
two small pizzas, a liter of soda, and a salad costs $14.
one small pizza, a liter of soda, and three salads costs $15.
three small pizzas, a liter of soda, and two salads costs $22.
how much does each item cost?
Given:
Two small pizzas, a liter of soda, and a salad costs $14.
One small pizza, a liter of soda, and three salads costs $15.
Three small pizzas, a liter of soda, and two salads costs $22.
To find:
The cost of each item.
Solution:
Let x be the cost of a small pizza.
y be the cost of a liter of soda
z be the cost of a salad.
According to the question, two small pizzas, a liter of soda, and a salad costs $14.
[tex]2x+y+z=14[/tex] ...(i)
One small pizza, a liter of soda, and three salads costs $15.
[tex]x+y+3z=15[/tex] ...(ii)
Three small pizzas, a liter of soda, and two salads costs $22.
[tex]3x+y+2z=22[/tex] ...(iii)
From (i), we get
[tex]z=14-2x-y[/tex] ...(iv)
Putting [tex]z=14-2x-y[/tex] in (ii), we get
[tex]x+y+3(14-2x-y)=15[/tex]
[tex]x+y+42-6x-3y=15[/tex]
[tex]-5x-2y=15-42[/tex]
[tex]-(5x+2y)=-27[/tex]
[tex]5x+2y=27[/tex] ...(v)
Putting [tex]z=14-2x-y[/tex] in (iii), we get
[tex]3x+y+2(14-2x-y)=22[/tex]
[tex]3x+y+28-4x-2y=22[/tex]
[tex]-x-y=22-28[/tex]
[tex]-(x+y)=-6[/tex]
[tex]x+y=6[/tex]
Multiply both sides by 2.
[tex]2x+2y=12[/tex] ..(vi)
Subtracting (vi) from (v), we get
[tex]5x+2y-2x-2y=27-12[/tex]
[tex]3x=15[/tex]
[tex]x=5[/tex]
Putting x=5 in (vi), we get
[tex]2(5)+2y=12[/tex]
[tex]10+2y=12[/tex]
[tex]2y=12-10[/tex]
[tex]2y=2[/tex]
[tex]y=1[/tex]
Putting x=5 and y=1 in (iv), we get
[tex]z=14-2(5)-(1)[/tex]
[tex]z=14-10-1[/tex]
[tex]z=3[/tex]
So, [tex]x=5,y=1,z=3[/tex].
Therefore, the cost of a pizza is $5, cost of a liter of soda is $1 and cost of salad is $3.
9 correct : 15 questions = 45 correct: q questions
please help me
Answer: it should be 75
Step-by-step explanation:
9 times 5 is 45 so 15 times 5 should be 75
what 0.05% in as a decimal and a mixed number in simplest form
deimal: 0.05% / 100 = 0.0005
mixed number: 5/10000
A proportional relationship is graphed on the coordinate plane. The line that represents the relationship passes through points (0,0) and (5,10). What is the unit rate of the proportional relationship?
Answer:
Step-by-step explanation:
HELLPPPP
It was found that an unknown solid had a density of 20 g/cm3 and a volume of 30 cm3. Determine the mass of the solid.
Answer:
30
Step-by-step explanation:
The mass of the solid is 600 grams if the unknown solid had a density of 20 g/cm3 and a volume of 30 cm3
What is density?It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.
It is given that:
It was found that an unknown solid had a density of 20 g/cm3 and a volume of 30 cm3
As we know, from the definition of density:the mass-to-volume ratio
Density = mass/volume
mass = densityxvolume
mass =20x30
mass = 600 grams
Thus, the mass of the solid is 600 grams if the unknown solid had a density of 20 g/cm3 and a volume of 30 cm3
Learn more about the density here:
brainly.com/question/952755
#SPJ2
37) True or False: A high school principal surveys the community about the high school's basketball program.
The school sends surveys to 5,000 households and receives 120 forms back. This is an example of nonresponse.
Answer:
true
Step-by-step explanation:
Gina popped 7 times as many balloons as Sam did. If Sam popped n balloons, how many balloons did Gina pop?
O A 7-n
7n
O c 7+1
o
Answer:
B. 7n
Step-by-step explanation:
Gina popped 7 times more than Sam, the keyword is times, so u have to multiply the amount of balloons Sam poppes, n, with 7
If it said Gina popped 7 balloons more, then it would be 7 + n
Solve the equation.
8 (2-6v) +19=-61
Answer:
v = 2
Explanation:
8(2 − 6v) + 19 = −61
[ Simplify both sides of the equation ]
8(2 − 6v) + 19 = −61
(8)(2) + (8)(−6v) + 19 = −61 (Distribute)
16 + −48v + 19 = −61
(−48v) + (16 + 19) = −61 (Combine Like Terms)
−48v + 35 = −61
−48v + 35 = −61
[ Subtract 35 from both sides ]
−48v + 35 − 35 = −61 − 35
−48v = −96
[ Divide both sides by -48 ]
−48v / -48 = −96 / -48
v = 2
- PNW
PLEASEEEE HELPPPPP!!!!!!!
plz don't answer if you don't know because this is a exam
Answer:
-1.5
Step-by-step explanation:
Write an equation in slope intercept form with the slope as 1/3 and the point (-3,4)
Answer:
[tex]y = \frac{1}{3}x + 5[/tex]
Step-by-step explanation:
Slope (m) = 1/3
(-3 , 4)
y - y1 = m(x -x1)
y - 4 = (1/3) (x - [-3])
[tex]y - 4 = \frac{1}{3}(x + 3)\\\\y - 4 = \frac{1}{3}x + \frac{1}{3}*3\\\\y - 4 = \frac{1}{3}x + 1\\\\ y = \frac{1}{3}x + 1 + 4\\\\ y = \frac{1}{3}x + 5[/tex]
find the surface area of the cereal box of 30x20x5
Answer:
1700 units squared
Step-by-step explanation:
Answer:
ITS 3000
Step-by-step explanation:
Find X HELP ME please!!
Answer:
The answer is A) 3 Hope this helped
Select two ratios that are equivalent to 2:9
Choose 2 correct answers
Answer:
4:18 and 6:27
Step-by-step explanation:
Conic section
For questions 10 - 11, solve each system. In your work, identify the shape of the graph of each
equation. (5 points each)
(7y2 + x2 = 64
10.
x+y = 4
Answer:
Step-by-step explanation:
7[tex]y^{2}[/tex]+[tex]x^{2}[/tex]=64x+y=4First, we isolate the variable on the second equation so that we can have an x solution to plug in:
x=-y+4Now, we plug this in to the first equation:
[tex]7(-y+4)^{2} +(-y+4)^{2} =64[/tex]
We can now put the 7 into the parentheses and then square root the equation:
[tex]\sqrt{(-7y+28)^{2}} +\sqrt{(-y+4)^{2}} =\sqrt{64}\\-7y+28-y+4=8\\-8y=40\\y=-40[/tex]
We then plug this in to the original equation to find x
[tex]x+-40=4\\x=-36[/tex]
This means y=-40 and x=-36. I believe that's what you were asking. Let me know if it is something else
The rule is applied to ΔBCD to produce ΔB"C"D". Point B" of the final image is at (–4, 1).
What are the coordinates of point B on the pre-image?
(–2, –5)
(0, –5)
(2, 3)
(5, 0)
Answer:
2,3
Step-by-step explanation:
i took the quiz
Answer:
2,3
Step-by-step explanation:
what is 8x+6 simplified?
Answer:
4x+3
Step-by-step explanation:
8 and 6 are multiple of 2 so divide 8 /2 = 4 and divide 6/2=3
Last month you spent $30 on clothing. This month you spent 150% of what you spent last month. Set up a proportion to model this situation. How much did you spend this month?
You spent $*blank* this month.
Answer:
$45
Step-by-step explanation:
x=1.5(30)
x=45
i need help with this
Answer:
X=5
Step-by-step explanation:
20= 1/2 x 8 x X
20= 4x
x=5
PLS HELP WILL GIVE BRAINLIEST
How can parents that dont have a O blood type still have a O blood type baby???
Answer: While a child could have the same blood type as one of his/her parents, it doesn’t always happen that way.
Step-by-step explanation:
For example, parents with AB and O blood types can either have children with blood type A or blood type B. These two types are definitely different than parents’ blood types!
$43 shirt; 6% tax Please Help!!
Answer:
tax is 2.58
Step-by-step explanation:
Answer:
.06 times 43 is $2.53 in tax
Step-by-step explanation:
What is the cubic Yardage of a 60'X40'X6"
thick lab?
Answer:
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Step-by-step explanation:
HEEELPPPPP PPLS The second side of a triangle is 8 inches less than the first side. The third side is 14 inches more than the first side. The perimeter of the triangle is 78 inches. Find each side of the triangle.
Answer: ):
Step-by-step explanation:
Answer:
second side is 16
third side is 38
Step-by-step explanation:
x + (x - 8) + (x + 14) = 78
3x + 6 = 78
3x = 78 - 6
3 x = 72
x = 72/3
x = 24
24 + (24 - 8) + (24 + 14) = 78
24 + 16 + 38 = 78
What are the solutions of the quadratic equation?
12x^2 - 64 = -x^4
Please explain the relationship between a hypothesis and an experiment.
Answer:
A hypothesis is "is a suggested solution for an unexplained occurrence that does not fit into current accepted scientific theory. The basic idea of a hypothesis is that there is no pre-determined outcome.". And an experiment is "is defined as to try out something new or to test a theory. An example of experiment is when you try out a new hair style. An example of experiment is when you use test tubes and chemicals in a lab to complete a project and to try to better understand chemical reactions.".
How do I solve this?
Answer:
The answer is 7.5
Step-by-step explanation:
3x+18=9x−27
3x+18−9x=9x−27−9x
−6x+18=−27
−6x+18−18=−27−18
−6x=−45
−6x /−6 = −45 /−6
x = 15 /2 which is equal to 7.5 as a decimal.
I have reached 250 thanks which means I helped 250 wonderful people :D
Answer:
that's great to hear :)
Step-by-step explanation:
Answer:
Wow! Congratulations....
Other:
Umm brainliest?
8 times the difference between a number and 6 is equal to 4 times the number.
What is the number?
OA. 12
OB. 4
OC. 16
OD. 48
Answer:
it's either A (12) or B(4) but I think it's 12
Step-by-step explanation:
if we make it into an equation, we get
8(x-6)=4x
8x-48=4x
-48=-4x
-12=-x
x=12
the reason why it might be 4 as well is if we switch the order
8(6-x)=4x
48-8x=4x
48=12x
x=4
So both of those could be correct, but I'm thinking that because they said between a number and 6, then x goes first, so therefore, I think it is 12
Which of the following is true about the linear function f(x) = 5?
Function fis parallel to the x-axis and has a slope equal to zero.
Function fis parallel to the x-axis and has an undefined slope.
Function fis perpendicular to the x-axis and has a slope equal to zero.
Function fis perpendicular to the x-axis and has an undefined slane
Answer:
Function f is parallel to the x-axis and has a slope equal to zero
Step-by-step explanation:
The equation of a line
The slope-intercept form of the equation of a line is given by:
y = mx + b
Where:
m = slope of the line
b = y-intercept, or the point where the graph intercepts the y-axis
We have the equation of a line:
y = 5
It corresponds to a line with m=0 and b=5. This line has a slope of 0 and a y-intercept of 5.
A zero-slope line is a horizontal line, i.e., parallel to the x-axis.
The correct statement is (first choice):
Function f is parallel to the x-axis and has a slope equal to zero
Select all the equations below that have a slope of -5.
A
y=2x−5
B
y=−5x+2
C
y=10−5x
D
y=10x−5