Answer:
5 sandwiches.
Step-by-step explanation:
$15 for the water, $10 for the soda. So if you add 15 and 10 that's 20. 40-25 = 15 on sandwiches. If each sandwich is $3, then that's 5 sandwiches.
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The number of sandwiches bought is 3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Cost of a bottle = $1.50
Cost of a soda = $2
Cost of a sandwich = $3
Number of bottles bought = 10
Number of sodas bought = 5
Number of sandwiches bought = S
Total amount spend = $40
Now,
10 x 1.50 + 5 x 2 + 3S = 40
Simplify.
15 + 10 + 3S = 40
25 + 3S = 40
Subtract 25 on both sides.
3S = 40 - 25
3S = 15
Divide both sides by 3.
S = 15/3
S = 3
Thus,
The number of sandwiches bought is 3.
Learn more about expressions here:
https://brainly.com/question/3118662
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please help// geometry question.... “the distance from” is cut off from the picture
Answer:332
Step-by-step explanation:
Write a ratio for the following description: Kaleel made three times as many baskets as John during basketball practice. Type your answer in the format: 3:4 with no spaces.
Answer:
3:1
Step-by-step explanation:
hey there,
< We know Kaleel made 3x as many baskets as John.
We're going to make our ratio Kaleel:John.
The answer would be 3:1 because every time John makes 1 basket, Kaleel makes 3 baskets. If John made 2, then Kaleel would make 6, etc...
Sorry, I can't explain this very well! >
Hope this helped. Feel free to ask anything else.
Write 6.93 repeating a mixed number in simplest form.
6.93 =?
Answer:
[tex]6\frac{93}{100} = \frac{693}{100}[/tex]
Step-by-step explanation:
Turn 6.93 into a fraction: [tex]6\frac{93}{100}[/tex] To turn into a mixed number, first multiply 6 and 100, then add 93. Put 693 over 100: [tex]\frac{693}{100}[/tex]I hope this helps!
Answer: [tex]6 \frac{31}{33}[/tex]
This is a mixed number where the whole part is 6, and the fractional part is 31/33.
=============================================
Explanation:
The 93 repeats forever, so we can say
x = 6.939393...
100x = 693.939393....
Subtracting the left hand sides leads to 100x-x = 99x
Subtracting the right hand sides leads to 693.939393.... - 6.939393... = 687
Notice how the decimal terms cancel out when we subtract.
We're left with 99x = 687 which solves to x = 687/99
This reduces to 229/33 when you divide both parts by 3.
The last step is to convert to a mixed number
The answer will be in the form [tex]6 \frac{x}{33}[/tex] where 6 is the whole part and x/33 is the fractional part. We know the whole part is 6 from the 6 in the original number given.
229/33 = 6.939393... helps confirm we're on the right track so far
this is another way of saying 229/33 = 6 remainder x, where x is the unknown remainder and the numerator we're after for the fraction x/33.
To get the remainder, we just compute 229-6*33 to get 31
This means 31/33 = 0.93939393...
and that [tex]6 \frac{31}{33} = 6.\overline{93} = 6.93939393...[/tex]
1/2(-2x - 12) > 7(3 - 4x)
The solution is____
Answer:
x > 1
interval (1,∞)
Step-by-step explanation:
1/2(-2x - 12) > 7(3 - 4x)
-x - 6 > 21 - 28x
-x + 28x > 21 + 6
27 x > 27
x > 27 / 27
x > 1
interval (1,∞)
-x - 6 > 21 - 28x if x = 2
-2 - 6 > 21 -28(2)
-8 > 21 - 56
- 8 > - 35
A research company wants to test the claim that a new multi vitamin helps improve short term memory state the objective of the experiment suggest a population determine the experimental and control groups and describe a simple procedure
Answer:
To test the effects of the multi-vitamin, we must test it on people with short-term memory loss. So the population should be people with short-term memory loss. The independent variable is the multi-vitamin and the dependent variable is the short term memory state of the people being tested. A control group can consist of people with short-term memory loss NOT being treated by the multi-vitamin.
If you would like more help on math or other subjects for FREE, check out growthinyouth.org.
Complete the equation involving x. Order terms like the physical situation, and don't simplify. A 6 foot wide painting should be centered on a 10 foot wide wall. How many feet (x) should be on each side of the painting?
Answer:
The space on each side of the painting = 2 feet
Step-by-step explanation:
Attached this answer is a diagram to give you visuals on how the value of x is calculated
Given:
width of wall = 10 feet
width of painting = 6 feet
Since the painting is centred on a wall, there is meant to be an equal space on each side of the painting, from the diagram, the following eaquation can be gotten
x + 6 + x = 10
2x + 6 = 10
2x = 10 - 6
2x = 4
x = 4 ÷2
x = 2 feet
Therefore, the space on each side of the painting = 2 feet
The cost in dollars of making x items is given by the function C(x)=10x+800. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. Fixed cost =$ Number b. What is the cost of making 25 items? C(25)=$ Number c. Suppose the maximum cost allowed is $2300. What are the domain and range of the cost function, C(x)? When you enter a number in your answer, do not enter any commas in that number. In other words if you want to enter one thousand, then type in 1000 and not 1,000. It's not possible to understand what the interval (1,000,2,000) means, so you should write that as (1000,2000). Domain: Preview Range: Preview
Answer:
1. Fixed cost is $800
2.Cost of 25 bags is $1025
3. (170,2300)
Step-by-step explanation:
Given
[tex]c(x) = 10x + 800[/tex]
Solving (a): Fixed cost
From the question, fixed cost is when x = 0;
Substitute 0 for x in [tex]c(x) = 10x + 800[/tex]
[tex]c(0) = 10 * 0 + 800[/tex]
[tex]c(0) = 0 + 800[/tex]
[tex]c(0) = 800[/tex]
Hence, the fixed cost is $800
Solving (b): Cost of making 25 items
Here; x = 25
Substitute 25 for x in [tex]c(x) = 10x + 800[/tex]
[tex]c(25) = 10 * 25 + 800[/tex]
[tex]c(25) = 250 + 800[/tex]
[tex]c(25) = 1025[/tex]
Hence, the cost of 25 bags is $1025
Solving (c): Domain and Range where Maximum cost = $2300
Here; c(x) = 2500
Substitute 25 for c(x) in [tex]c(x) = 10x + 800[/tex]
[tex]2500 = 10x + 800[/tex]
Subtract 800 from both sides
[tex]10x = 2500 - 800[/tex]
[tex]10x = 1700[/tex]
Divide both sides by 10
[tex]x = 170[/tex]
The domain and range of a function is in form of (x,c(x))
Hence, the domain and range is (170,2300)
Simplify: (3n2 +9+5n4 – 3n)+(-9n* - 7 -5n?)
Answer:
3n^2+9+5n^4+55n
Step-by-step explanation:
Steps
$\left(3n^2+9+5n^4-3n\right)+\left(-9n\left(-7\right)-5n\right)$
$\mathrm{Remove\:parentheses}:\quad\left(a\right)=a,\:-\left(-a\right)=a$
$=3n^2+9+5n^4-3n+9n\cdot\:7-5n$
$\mathrm{Add\:similar\:elements:}\:-3n-5n=-8n$
$=3n^2+9+5n^4-8n+9\cdot\:7n$
$\mathrm{Multiply\:the\:numbers:}\:9\cdot\:7=63$
$=3n^2+9+5n^4-8n+63n$
$\mathrm{Add\:similar\:elements:}\:-8n+63n=55n$
$=3n^2+9+5n^4+55n$
How can i write all the names that apply √36 NEED IT ASAP
Answer:
square of 36 is 6
or maybe 6²
u= ab/k, for a
Solve form A
a = uk/b
Step-by-step explanation:u = ab/k
uk = ab
a = uk/b
49 divided by 7 get a decimal answer
Answer:
7.0?
Step-by-step explanation:
49/7 would be 7, If the question was 7/49 the answer would be 0.14285714285 (a decimal)
17 POINTS!!!! List the elements in the set described. {x|x is a natural number between 9 and 17} (Use a comma to separate answers as needed. use ascending order.)
Answer:
10, 11, 12, 13, 14, 15, 16
Step-by-step explanation:
The natural numbers are 1, 2, 3, 4, ...
The natural numbers between 9 and 17 are 10, 11, 12, 13, 14, 15, 16.
Answer: 10, 11, 12, 13, 14, 15, 16
Simplify 3√-1000 and 3√g6h30
Answer:
[tex] \sqrt[ ]{1000} [/tex]
Step-by-step explanation:
[tex]3 \sqrt{ - 1000} = 3 \sqrt{1000i {}^{2} } \\ = 3 \times 10i \\ = 30i \\ (in \: complex \: form \: i {}^{2} = - 1)[/tex]
Answer:
1st one = -10
2nd one = g2h10
Step-by-step explanation:
Edge2020!!
3x-30 =1.5 plz help me
Answer:
x = 10.5
Step-by-step explanation:
3x - 30 = 1.5
3x = 31.5
x = 10.5
Find each of the following functions and state their domains. (Enter the domains in interval notation.)
f(x) = x3 + 4x2, g(x) = 5x2 − 1
(a) f + g
f + g =
domain =
(b) f - g
f − g =
domain =
(c) fg
fg =
domain =
(d) f/g
f/g =
domain =
Answer:
Step-by-step explanation:
Given functions are,
f(x) = x³ + 4x²
g(x) = 5x² - 1
(a). (f + g)(x) = f(x) + g(x)
= x³ + 4x² + 5x² - 1
= x³ + 9x² - 1
Since the composite function is defined for all values of x, domain of the function will be (-∞, ∞)
(b). (f - g)(x) = x³ + 4x² - (5x² - 1)
= x³ - x² + 1
Domain of the function : (-∞, ∞)
(c). (f.g)(x) = f(x) × g(x)
= (x³ + 4x²)(5x² - 1)
= 5x⁵+ 20x⁴ - x³ - 4x²
Domain of the function will be (-∞, ∞).
(d). [tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}[/tex]
= [tex]\frac{x^3+4x^2}{5x^2-1}[/tex]
Since this function is not defined at [5x² - 1 = 0] Or x = ±[tex]\frac{1}{\sqrt{5}}[/tex]
Therefore, Domain of the composite function will be,
(-∞, -[tex]\frac{1}{\sqrt{5}}[/tex]) ∪ [tex](-\frac{1}{\sqrt{5}},\frac{1}{\sqrt{5}})[/tex] ∪ ([tex]\frac{1}{\sqrt{5}}[/tex], ∞)
View Lab
Which of the following functions is most likely to have the smallest value for y if x is large? (Assume k is positive.)
a direct variation function with a small value fork
a direct variation function with a large value fork
an inverse variation function with a small value fork
an inverse variation function with a large value fork
Nexi
Subm
Save and Exit
Mark this and retum
Answer:
an inverse variation function with a small value for k
Step-by-step explanation:
The attached graph shows the cases described. The function with the smallest function value for large x is ...
an inverse variation function with a small value for k
___
On the graph, it is the green curve. The inverse variation functions both continue to decrease for large x, but the function with the smaller k value has a smaller function value.
Answer:an inverse variation function with a small value for k
Step-by-step explanation:Because i took the test
A 2000 kilogram sports car accelerates at a ratr of 30 meters per second squared. The velocity of the car is v=at where a is acceleration in meters per second squaref and t is tome in seconds. The kinetic energy of the car is KE = 1/2 mv^2
Answer:
KE = 900,000t²
Step-by-step explanation:
The formula for calculating the kinetic energy of a body is expressed as KE = 1/2mv² where;
m is the mass of the sport car = 2000kg
v is the velocity of the car
Since v = at
v = 30t
Substituting the given values into the KE formula;
KE 1/2 * 2000 * (30t)²
KE = 1000*900t²
KE = 900,000t² Joules where t is the time measured in seconds
Answer:
KE = 900,000t²
Step-by-step explanation:
Answer is D if you use edgenuity, answers do not mix
Helpp me out pls!!!!!!!!!
Answer:
a. Maurice walked farther.
b. 0.62 m
Step-by-step explanation:
Maurice
4.1 × 1.8 = 7.38 miles
Junnie
2.5 × 3.2 = 8 miles
This shows that Junnie walked more than Maurice.
8 - 7.38 = 0.62
Junnie walked 0.62 m more than Maurice
Lee spent $29 to purchase a combination of drinks, sandwiches, and chips for himself and his friends. A drink costs $1.50, a sandwich costs $5, and chips cost $1.25. Identify the linear equation that represents this situation.
Answer:
1.5d+5s+1.25c=29
Step-by-step explanation:
let d be the number of drinks, s be the number of sandwich, and c be the number of chips Lee purchased.
1.5×d and 5×s and 1.25×c must total 29, or
1.5d+5s+1.25c=29.
which function below is the Inverse of f(x)= 7x-1/2
Answer:
[tex]f-1(x)= \frac{x}{7} +\frac{1}{14}[/tex]
Step-by-step explanation:
If we have y=7x-1/2, the inverse is where we solve for x instead of y.
We can isolate x to get 7x=y+1/2, then divide by 7 to get x=y/7+1/14.
Therefore,[tex]f-1(x)= \frac{x}{7} +\frac{1}{14}[/tex]
Hope that helped,
-sirswagger21
Principal: $1500.
Annual interest rate: 72%.
What is the interest after
6 months?
Please help me with the question below
Answer:
The answer is A.
Step-by-step explanation:
This is because Tia's amount of money minus Dana's amount of money should be at least 5
circle the digit is in the tens place
219,358,675
Answer:
219,358,675
the tens digit is the second digit before decimal point (from right to left)
219,358,675
Hope this helps!! :)
Answer:
Hey!
The 7 in *...675* is in the tens place!!
Step-by-step explanation:
Tens place??
AkA THE SECOND PLACE IN FROM RIGHT
▶hOPE IT HELPED!!◀
please quickly answer. i cant be waiting for 20 mins.
Answer:
C ( -2,4)
Step-by-step explanation:
In quadrant II, the x values are negative and the y values are positive
( -, +)
(-2,4) is the only point that meets this
Answer:
[tex]\huge \boxed{\mathrm{\bold{C.}} \ ( -2,4)}[/tex]
Step-by-step explanation:
The x values are negative and the y values are positive in quadrant II.
The point (-2, 4) is in quadrant II.
Determine the rate of change for 3/2x -5/4y = 15
Answer:
-6/5
Step-by-step explanation:
3/2x - 5/4y = 15
-5/4y = -3/2x + 15
multiply each side by (-4/5)
(-4/5)(-5/4y) = (-4/5)(-3/2x + 15)
y = -6/5x - 12
rate of change: -6/5
Each school day, Aidon wolks 11 blocks to school after school, he wolks 4 blocks to the library
and 12 blocks home. How many blocks does Aidon wolk in a week? *
e
Answer:
189
Step-by-step explanation:
Aidon walked 11 blocks to begin with than he walks 4 blocks to the library and 12 blocks home. This mean we add 11+4+12=27 and a week has 7 days which means we need to multiply that by 7 which gives us the product of 189.
Also, i double checked
Solve the equation 6x + 2x - 5= 19 x=? Simplify your answer
Answer:
x = 3
Step-by-step explanation:
6x + 2x - 5= 19
8X -5 = 19
8x = 24
x = 3
If you count 14 beats in 6 seconds, what is your approximate rate?
Answer:
About 2.3 beats per second
Step-by-step explanation:
14 / 6 is approximately 2.3.
Answer: About 2.33 beats per second
Step-by-step explanation:
Divide the number of beats by the seconds and find the approximation rate.
I NEED HELP Are the two functions inverses? f ( x ) = − 8 x + 5 g ( x ) = − 1 8 x + 5 8 Group of answer choices Yes No
Answer: No
Step-by-step explanation:
To know if the functions are inverses of each other, it is easiest to just find the inverse of one of the functions. To find the inverse, you want to replace y with x and x with y and solve for y.
y=-8x+5 [switch x with y and y with x]
x=-8y+5 [subtract both sides by 5]
x-5=-8y [divide both sides by -8]
y=(x-5)/-8
f⁻¹(x)=(x-5)/-8
Since we know that the inverse doesn't match g(x), we know that these functions are not inverses of each other.
Please help me please
Answer:
y = 4 (Answer C)
Step-by-step explanation:
We want to find side y. The sine function relates the 30 degree angle, the hypotenuse 8 and the opposite side y:
y
sin 30 degrees = 1/2 = -----------
8
so y = 4 (Answer C)