Answer:
The answer is 4.5 cups of cereal and 1.5 cups of mixed nuts
Step-by-step explanation:
Let 'c' be the number of cups of cereal.
Let 'n' be the number of cups of mixed nuts.
One batch of his recipe makes 6 cups of snack mix, so equation becomes:
[tex]c+ n=6[/tex] ..... (1)
Also given that Brad uses 3 times as much cereal as mixed nuts, so equation becomes:
[tex]c=3n[/tex] ......(2)
Substituting (2) in (1)
[tex]3n+n=6[/tex]
=> [tex]4n=6[/tex]
=> [tex]n=1.5[/tex]
Since c = 3n, then
[tex]c=3*1.5=4.5[/tex]
So, the answer is 4.5 cups of cereal and 1.5 cups of mixed nuts.
Write this scientific notation in standard form.
3x10^-3
To write 3 × [tex]10^{-3}[/tex] power in standard notation, we first will start with
3. Next, we look at the exponent which in this case is negative so we will
have to move the decimal point 3 places to the left.
3. ⇒ 0.003
Therefore, 3 × [tex]10^{-3}[/tex] turned into standard notation is 0.003.
State the vertical, horizontal asymptotes and zeros of the rational function, f(x) = x2+3x+2 x2+5x+4 . why is there no zero at x = –1?
The shortest known adult woman is about 24 inches tall and tallest known adult woman is about 92 inches tall. Write an absolute value equation that represents the minimum and maximum heights. Use x to represent the heights.
Answer:
An absolute value equation that represents the minimum and maximum heights 24 ≤ x ≤ 92.
Step-by-step explanation:
First we have to know about the middle number. The middle number between 24 and 92 is :
[tex]\frac {(24+92)}{2}= 58.[/tex]
Now positive difference is: 58-24=34 and 92-58=34.
Thus the height of a woman x, can vary at most 34, from 58. That is the height of a woman can be 34 ft less or more than 58.
In absolute value notation this is expressed as:
x-58≤34
what this means is that:
x-58≤34 or 58-x≤34
Further solving the equation gives: |x-58|≤34 ;
24≤x≤92
Which of these is the distance from the head of the piston not including any dishes or domes to the deck surface of the engine block?
One cubic foot is equal to 144 cubic inches.
true
false
False
A cubic foot would be 12 x 12 x 12 = 1728 cubic inches
Which of the following inequalities is not true?
-22 < 3
|-1| ≥ 0
|-9| ≠ |9|
-7 ≤ -5
Answer:
ccccccccccccccccccccc
Step-by-step explanation:
The false statement is |-9| ≠ |9|.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12. This is a real-world example of an inequality.
Given:
-22 < 3 is true.
|-1| ≥ 0
It is true because |-1| is +1. which is greater than 0.
|-9| ≠ |9|
It is false because |-9| = +9 and |9|= 9 which are equal.
-7 ≤ -5
It is true because the smaller the small the negative number the greater its value.
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Help Please?
In which diagram do angles 1 and 2 form a linear pair?
Answer:
Step-by-step explanation:
it is the 4th one
Which is the line shown in the figure?
Solve each literal equation for 'K'.
a) T=4K/M b) bm-Kn=14
The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. What are the coordinates of the vertex of the graph?
x=−5; y=−(−5)2−10(−5)+16
y= −25+50+16 = −25+66 = 41
Vertex (−5,4)
Simplify the complex expression (3+2i) + (-4+6i)
Which equation applies the associative property of multiplication? −65−(53−14)=(−65−53)−14 (−12⋅47)+(−12⋅23)=−12⋅(47+23) 89⋅74⋅(−58)=89⋅(−58)⋅74 (−94⋅32)⋅(63⋅57)=−94⋅(32⋅63)⋅57
Answer:
The ansewer is D. I just took the test. Happy Holidays!
Step-by-step explanation:
ABCD is a square. What is the measure of angle BAC? °
Answer:
∠BAC = 45° is the measure.
Step-by-step explanation:
In a square all sides are equal and all the angles are 90°.
We have to measure the angle BAC.
since both the sides AB and BC of the triangle BAC are equal. Therefore angles opposite to these sides ∠BAC and ∠ACB will be equal.
Since ∠BAC + ∠ACB + 90° = 180° ( Sum of all angles of ΔABC = 180°)
∠BAC + ∠BAC + 90° = 180°(∠BAC = ∠ACB)
2∠BAC = 180 -90 = 90°
∠BAC = 90/2 = 45°
∠BAC = 45° is the answer.
A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animanl is faster and by how many miles per hour? There are 5,280 feet in one mile
the bison runs 3520 feet per minute
convert that to miles per hour
3520/5280 = 2/3 of a mile per minute
2/3 x 60 = 40 miles per hour
the bison runs 10 miles per hour faster
what operation should be performed SECOND to solve this problem?
The Johnson family can fly from Washington DC to to London for $18 per mile per person the distance is 3,663 miles. how much will the trip cost if four people go?
A subtraction
B multiplication
C division
D addition
There is 1 in. of water in a pool. The water level is increasing at 0.75 in./min . Which linear equation represents the total depth of the water, in inches, after x minutes?
y=0.75x
1+y=0.75x
y=0.75x+1
x=0.75y
Let
x-------> the time in minutes
y------> the water level in inches
we know that
the slope of the linear equation is equal to
[tex]m=0.75\frac{in}{min}[/tex]
The y-intercept is the value of y when the value of x is equal to zero
In this problem the y-intercept is equal to
[tex]b=1\ in[/tex]
the equation of the line in the slope-intercept form is equal to
[tex]y=mx+b[/tex]
substitute the values
[tex]y=0.75x+1[/tex]
therefore
the answer is
[tex]y=0.75x+1[/tex]
2% of the students at Hamilton Middle School have red hair. There are 700 students at Hamilton Middle School. How many students at Hamilton Middle School have red hair?
2% = 0.02
700 * 0.02 = 14
14 students have red hair
Answer:
There are 14 students at Hamilton Middle School having red hair.
Step-by-step explanation:
The total number students at Hamilton Middle School is 700. And it has been given that 2% of the total number of students have red hair.
Hence, in order to find the number of students having red hair, we can find 2% of 700.
[tex]\text{Number of student having red hair}=0.02\times 700\\=14[/tex]
Therefore, 14 students at Hamilton Middle School have red hair.
Marianna buys a snack combo for 2.50 if the sales tax rate is 8% what is the total price of the combo including tax
What is the factored resulting perfect trinomial for x squared + 14x?
Solve the equation. (find only the real solutions. enter your answers as a comma-separated list.) x4 − 7x2 6
Answer please, Thanks. More questions coming.
FCD=x+41, BCF=x+78, BCD=95. Find x
To find x in a geometry problem involving angle measures BCD, BCF, and FCD.
The given information:
- B = 77.08795270
- C₁ = -7.062084 257
- D₁ = -0.6291204730 E₁ -14.17590540 F₁-62.91204730
Step-by-step solution:
Express BCD as a combination of the other angles: BCD = BCF + FCD. Substitute the given values: 95 = (x + 78) + (x + 41).
Simplify the equation: 95 = 2x + 119.
Solve for x: 2x = 95 - 119 = -24, x = -12.
Trapezoid W′X′Y′Z′ is the image of trapezoid WXYZ under a dilation through point C.
What scale factor was used in the dilation?
−6/5
−5/6
5/6
6/5
Answer:
Just took the test and the answer was 5/6
The answer is in the screenshot for future people looking for answers :-)
A theater manager is planning an upcoming concert. Regular tickets will cost $12 and student tickets will cost $8. The theater can seat at most 200 people. The manager wants to collect at least $1000 from ticket sales.
Let x represent the number of regular tickets sold. Let y represent the number of student tickets sold.
Which inequalities are among the constraints for this situation?
Select each correct answer.
12x+8y≤1000
12x+8y≥1000
x+y≥1000
x+y≤200
x+y≥200
12x+8y≤200
Answer:
Option B and Option D is correct.
The inequalities are among the constraints for the given situation is,
[tex]12x+8y\geq 1000[/tex] and [tex]x+y\leq 200[/tex]
Explanation:
Let x represents the number of regular ticket sold.
and y represents the number of student ticket sold.
then, 12x represents the regular tickets at $12 each,
and 8y represents the student tickets at $8 each.
As the manager wants to collect at least $ 1000 from the ticket sale or we can say that the manager wants $ 1000 or more from the ticket sale.
then, we have the inequalities for this;
[tex]12x+8y\geq 1000[/tex]
As, the theater can seat at most 200 people or we can also say that the theater can seat 200 or less people .
therefore, the inequalities for this we have;
[tex]x+y\leq 200[/tex]
Therefore, the inequalities are among the constraints for the given situation is,
[tex]12x+8y\geq 1000[/tex] and [tex]x+y\leq 200[/tex]
The average of 80 ,95 ,75 ,60
How do you write in numbers a hundred and one thousand dollars?
To write 'a hundred and one thousand dollars' in numbers, combine the place values to get $101,000. The number 101 represents 'one thousand' plus 'one hundred,' followed by 'thousand,' which is represented by three zeros after 101.
Writing 'a hundred and one thousand dollars' in numbers involves understanding the place value of numbers and how to represent large numbers. In the decimal number system, the place values increase as powers of 10 from right to left, starting with the 1's place, 10's place, 100's place and so on. When dealing with large numbers, we use the powers of 1000, such as thousand (103), million (106), and billion (109).
To write 'a hundred and one thousand dollars' in numbers, you would write $101,000. Here, 'hundred' refers to the 100's place, and 'one thousand' refers to the 1,000's place. Therefore, you have one thousand plus one hundred, which is '101' followed by the 'thousand' represented by three zeros to make 101,000. When writing amounts in dollars, you use the dollar sign '$' in front of the number.
It's essential to remember that when expressing large numbers in written form, no apostrophes are used for the plurals. Also, in general, we use numerals to express numbers 10 and above, which helps in clarity and readability, especially when dealing with money or scientific notation.
All birds have wings. A bat has wings, so it is a bird. What type of reasoning is this? inductive
deductive
a baker orders 162 eggs. each carton contains 18 eggs. which equation can you use to find the number x of cartons? explain your reasoning and sold the equation.
To solve for the number of cartons the baker needs, divide the total number of eggs by the eggs in each carton. This gives the equation x = 162 ÷ 18. Solve the equation to find that the baker needs 9 cartons.
Explanation:The subject of this question is mathematics, specifically division. When a baker orders 162 eggs and each carton contains 18 eggs, to find out how many cartons (represented by x) the baker needs, we would need to divide the total number of eggs by the number of eggs in each carton. This gives us the equation:
x = 162 ÷ 18
Solving this equation, we find that x equals 9. Therefore, the baker needs to order 9 cartons of eggs.
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How many times longer is the diameter of a grain of sand than the diameter of the average cell in the human body? Show your work.
What is the completely factored form of 2x2 – 32?
A) (2x2 + 16)(x – 16) '
B) 2(x + 4)(x – 4)
C) 2(x + 8)(x – 4)
D) 2(x – 8)(x – 4)
The completely factored form of [tex]2x^2 - 32[/tex] is 2(x + 4)(x - 4).
Given that,
The equation is [tex]2x^2 - 32[/tex].We have to determine the factors of the above equation.Based on the above information, the calculation is as follows:
[tex]= 2x^2 - 32\\\\= 2(x^2 - 16)[/tex]
= 2(x + 4)(x - 4)
Therefore we can conclude that option B is correct.
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