Answer:
1/2 cup of dressing
Step-by-step explanation:
To find the total amount of dressing, we just need to add up the amounts of olive oil and balsamic vinegar.
1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2 cup
Answer:
1/2 cup
Step-by-step explanation:
Simplify the following:
1/3 + 1/6
Hint: | Put the fractions in 1/3 + 1/6 over a common denominator.
Put 1/3 + 1/6 over the common denominator 6. 1/3 + 1/6 = 2/6 + 1/6:
2/6 + 1/6
Hint: | Add the fractions over a common denominator to a single fraction.
2/6 + 1/6 = (2 + 1)/6:
(2 + 1)/6
Hint: | Evaluate 2 + 1.
2 + 1 = 3:
3/6
Hint: | Reduce 3/6 to lowest terms. Start by finding the GCD of 3 and 6.
The gcd of 3 and 6 is 3, so 3/6 = (3×1)/(3×2) = 3/3×1/2 = 1/2:
Answer: 1/2
The amount of a certain medication remaining in the bloodstreamt
hours after taking the medicine is modeled by the equation M(t) = -4**
5x2 + 3x +18. Package directions recommend taking a second dose 4-6
hours after the initial dose,
Answer:
45, 46, 33, 0, 6
Step-by-step explanation:
Find the midpoint of R(2,2) and S(-3,6)
Answer: (-0.5, 4)
Step-by-step explanation:
Midpoint formula: [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]
(x1, x2)=(2, -3)
(y1, y2)=(2, 6)
-----------------------------------------------
[tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]
=[tex](\frac{2-3}{2} ,\frac{2+6}{2} )[/tex]
=[tex](\frac{-1}{2} ,\frac{8}{2} )[/tex]
=[tex](-0.5, 4)[/tex]
Hope this helps!! :)
Please let me know if you have any question or need further explanation
Answer:
[tex]M=(-\frac{1}{2},4)[/tex]
Step-by-step explanation:
The midpoint formula is given by:
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Let (2,2) be x₁ and y₁ and let (-3,6) be x₂ and y₂. Therefore:
[tex]M=(\frac{2+-3}{2},\frac{2+6}{2})[/tex]
Simplify:
[tex]M=(-\frac{1}{2},\frac{8}{2})\\M=(-\frac{1}{2},4)[/tex]
is pie a natural number?
Nope
Step-by-step explanation:
Pi is an irrational number because it can not be expressed by a simple fraction.
Answer: No it's a rational number
Step-by-step explanation:
The line y= -x + 3 best models which of the following scatter plots?
Answer:
a
Step-by-step explanation:
Since we have a negative slope, that means the correlation for the scatter plot also has to be negative.
Since the only scatter plot that has a negative correlation is graph A, a is our answer.
How do I express 32 kilometeters in miles?
Answer:
19.84 Miles
give or take
Step-by-step explanation:
1 km is .62 miles
.62 x 32 = 19.84
Answer:
19.88 miles
Step-by-step explanation:
Why is the sum of a rational number and a irrational number always irrational
Answer:
A rational number is a number able to be put into a fraction, an irrational number is not able to be. Therefore, when adding the two, the rational and the irrational will be irrational. For example, 2 is a rational number, and 1.8903 is irrational. If you add the two, you will get 3.18903, which is unable to be put into a fraction.
Help please functions problem
Answer:
f(3) = 24
Step-by-step explanation:
substitute X for 3.
F(3) = 3 * (2) ^3
= 24
A comparison of two quantities with similar units, by division is called: *
1.ratio table
2.rate
3.ratio
4.origin
Marie goes to the clothing store. Her purchases equal $89.25. The sales tax is 8%. How much tax does she pay?
A $7.14
B $7.86
C S71.40
D S78.60
Answer: A. $7.14
Step-by-step explanation:
price × percentage of sales tax=amount of tax
89.25 × 8%=$7.14
Hope this helps!! :)
Please let me know if you have any question
Perimeter of square = 12 1/2 in
Side length of square=
Help ASAP it’s either
68degrees
110 degrees
136 degrees
or 112 degrees
Answer:112
Step-by-step explanation: Line SW is 180 degrees since it is a straight line. Subtract angle TBU 18 and angle UBW 50 from line SW 180 to get angle SBU which is 112.
Given h(x) = -2x + 5, solve for a when h(x) = 3.
Answer:
Step-by-step explanation:
-2x + 5 = 3
-2x = -2
x = 1
TIMED QUESTION!!!!!!!
Answer: (2 1/2, 0) (the last option)
Step-by-step explanation:
I guess the function is:
f(x) = (2 1/2) - (3 1/2)*x
now, the rule for f-1(x) that we know is:
f-1( f(x) ) = x.
So if we want to find the x-intercept of f-1(x), we must evaluate it in f(0)
f-1(f(0)) = 0.
And we have that f(0) = (2 1/2) - (3 1/3)*x = 2 1/2
This means that the x-intercept of f-1(x) will be when x= 2 1/2, so the intercept is:
(2 1/2, 0)
Multiplying a number by which of the following would result in a smaller number?
O 100
O 101
O 102
10-1
Answer:
10^(-1)
Step-by-step explanation:
Recall that a value that is multiplied by a number that is between 0 and 1 will result in a number that is smaller than the original number.
the first 3 are all greater than 1, hence will result in a greater value if when multiplied with another number.
The last one is 10^(-1) = 0.1
Anything multiplied by 0.1 will result in a value that is 1/10th of the original value.
Hence this is the answer.
Answer:
10/\-1 is correct
Step-by-step explanation:
A city council consists of 8 members. Of the 3 men on the committee, 1 has a bachelor's degree and the other 2 have master's degrees. Of the 5 women on the committee, 4 have bachelor's degrees and 1 has a master's degree. A member is chosen at random to take notes at a meeting. What is the probability that the committee member has a bachelor's degree?
Answer:
5/8
Step-by-step explanation:
1 man, 4 women out of 8 people total
25=19+k. What’s the answer?
Answer:
k=6
Step-by-step explanation:
25=19+k
Subtract 19 from each side
25-19=19-19+k
6 = k
Answer:
k = 6
Explanation:
to find the value of k in the equation provided, you must subtract nineteen from both sides. this will isolate the variable.
25 = 19 + k
25 - 19 = 19 - 19 + k
6 = k
k = 6
therefore, the value of the variable k in 25 = 19 + k is 6.
Write the equation of the line that passes through the points (-7, -5) and
(-7,–7). Put your answer in fully reduced point-slope form, unless it is a vertical or
horizontal line.
Answer:
vertical
Step-by-step explanation:
Find the value of x in the triangle shown below.
Answer:
55
Step-by-step explanation:
98+27+x=180
Answer:
Step-by-step explanation:
x + 98° + 27° = 180
x + 125° = 180°
x = 55°
Old Mc Donald raises ducks and cows. The animals have a total of 100 heads and 354 feet. How many ducks and how many cows does Old Mc Donald have?
Answer:
The number of ducks Old Mc Donald raises are 23 and the number of cows Old Mc Donald raises are 77.
Step-by-step explanation:
We are given that Old Mc Donald raises ducks and cows. The animals have a total of 100 heads and 354 feet.
Let the number of ducks Old Mc Donald raises be 'x' and the number of cows Old Mc Donald raises be 'y'.
So, according to the question;
The first condition states that the animals have a total of 100 heads, that means;[tex]x+y=100[/tex]
[tex]x=100-y[/tex] -------------------- [equation 1]
{because one head of a duck and one head of cow}
The second condition states that the animals have a total of 354 feet, that means;[tex]2x+4y=354[/tex]
[tex]x+2y=177[/tex] --------------- [equation 2]
{because there are two feet of a duck and four feet of cow}
Now, putting the value of x in equation 2 we get;
[tex]100-y+2y=177[/tex]
[tex]y=177-100[/tex]
y = 77 cows
Putting this value of y in equation 1 we get;
x = 100 - y
x = 100 - 77 = 23 ducks
Hence, the number of ducks Old Mc Donald raises are 23 and the number of cows Old Mc Donald raises are 77.
Solve the following simultaneous equations : with the help of steps
1. x + 2y = 1, 3x - y = 17
Answer:
x = 5, y = -2
Step-by-step explanation:
Given equations:
x + 2y = 13x - y = 17From the first equation we get:
x = 1 -2ySubstitute x in the second equation, find y:
3x - y = 173*(1-2y) - y = 173 - 6y - y = 17-7y = 17 - 3-7y = 14y = -14/7y = -2Find x:
x = 1 - 2y x = 1 - 2*(-2)x = 1 + 4x = 5Rita has 1 3/4 yards of red material, 3 1/3 yards of blue material, and 4 1/2 yards of striped material. Altogether, how much material does Rita have?
Answer:
9 7/12
Step-by-step explanation:
1 3/4 + 3 1/3 + 4 1/2
1 + 3 + 4 = 8
8 + 3/4 + 1/3 + 1/2
8 + 9/12 + 4/12 + 6/12
8 + 19/12
8+ 1 7/12
9 + 7/12
9 7/12
d) Make a is the subject of the formula, ab + bc = ad
e) Define Pythagoras' Theorem.
Answer:
(D) ab + bc =ad
ab-ad = -bc
a(b-d) =bc
a = bc / b-d
(e) The Pythagoras Theorem states that in a Right angled triangle the {hypotenuse}^2 = {opposite}^2 + {adjacent}^2
Step-by-step explanation:
The following list details the numbers of tickets sold for a talent show grade 9:22; grade 10:32; grade 11: 41; and grade 12:30. What are the
domain and range of this relation?
A domain: (22, 32, 41, 30); range: {9, 10, 11, 12}
B. domain: {9, 22, 10, 32); range: {11, 41, 12, 30}
C. domain: {9, 10, 11, 12); range: (22, 32, 41, 30)
D
domain: {11, 41, 12, 30}; range: {9, 22, 10, 32)
Answer: C. domain: {9, 10, 11, 12); range: (22, 32, 41, 30)
Step-by-step explanation:
The data set is:
(9, 22)
(10,32)
(11, 41)
(12, 30).
In the usual notation, the number at the left is the input (belons to the domain) and the number in the right is the output (belongs to the range).
Then the domain would be:
{9, 10, 11, 12}
and the range:
{22, 32, 41, 30}
The correct option is C
What is the solution for this inequality? 8x ≤ -32
Answer:
x≤-4
Step-by-step explanation:
There is one very important exception to the rule that multiplying or dividing an inequality is the same as multiplying or dividing an equation. Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign.
8x≤-32
1. Divide both sides by 8
Determine whether each ordered pair is a solution of y = x+3. (2,5) (4,6) (5,8) (3,7)
Answer:
(2,5) and (5,8)
Step-by-step explanation:
you can just plug in the numbers to get your answer and if two numbers aren't the same then its not a solution
example: (2,5)
5 = 2 + 3
5 = 5
5 does equal 5 making it a solution because it makes sense right?
example: (4,6)
6 = 4 + 3
6 = 7
this isn't a solution because six doesn't equal 7
Answer:
[see below]
Step-by-step explanation:
[tex]y=x+3[/tex]
(2,5):[tex]5=2+3\\\\\boxed{5=5}[/tex]
The ordered pair is a solution.
(4,6):[tex]6=4+3\\\\\boxed{6\neq7}[/tex]The ordered pair is not a solution.
(5,8):[tex]8=5+3\\\\\boxed{8=8}[/tex]The ordered pair is a solution.
(3,7):[tex]7=3+3\\\\\boxed{7\neq 6}[/tex]
The ordered pair is not a solution.
Hope this helps.
i need help , what’s the answer ?
Answer:
D,
Step-by-step explanation:
that's because you only factorise when you have a common factor, ax-3b cannot be factorised because they have nothing in common so it is wrong to use x to factorise it. If you want to be sure that it is not factorisable, try expanding it and you'll see that you will not get the same answer.
The city of Atlanta plans to hold a parade after the Atlanta Falcons win the Super Bowl. They intend to allow fans to watch from the sidewalk on both sides of Peachtree Street. The parade route will be 1 mile long (5,280 feet are in a mile) and the sidewalks are 10 feet deep. If the average person takes up 3 square feet of space, what is the estimate for the number of people who can attend the parade?
Answer:
17600 people.
Step-by-step explanation:
Given that The parade route will be 1 mile long (5,280 feet are in a mile) and the sidewalks are 10 feet deep.
The area of the parade route will be
5280 × 10 = 52800 ft^2
If the average person takes up 3 square feet of space, then, divide the area by 3. That is,
52800 / 3 = 17600 people.
Therefore, the estimate for the number of people who can attend the parade will be 17600 people.
A new community sports complex is being build in Madison. The perimeter of the rectangular playing field is 466 yards. The length of the field is 7 years less than quadruple the width. What are the dimensions of the playing field?
Answer:
The dimensions of the field is 185 yards by 48 yards
Step-by-step explanation:
Here, we are interested in calculating the dimensions of the field.
Let the width of the field be x yards
From the question, we are made to know that the length of the field is 7 yards less than quadruple ( 4 times) the width
So mathematically, the length of the field will be ;
(4x -7) yards
The perimeter of the field mathematically is:
2(l + b)
Thus;
2(x + 4x- 7) = 466
2(5x -7) = 466
divide both side by 2
5x - 7 = 466/2
5x - 7 = 233
5x = 233 + 7
5x = 240
x = 240/5
x = 48 yards
Length of field is; 4x -7 = 4(48) -7 = 192 - 7 = 185 yards
If 3x - 8= -2, find the value of x - 6.
Answer:
x-6 = -4
Step-by-step explanation:
3x - 8= -2
Add 8 to each side
3x - 8+8= -2+8
3x = 6
Divide by 3
3x/3 = 6/2
x =2
We want to find x-6
2-6 = -4
Answer: - 4
Step-by-step explanation:
3x - 8 = -2
3x = -2 + 8
3x = 6
x = 6/3
x = 2
so, therefore x - 6 => 2 - 6 = -4
Can someone help me with these word problems?