The number of small sized bowls on the counter = 68 bowls
The number of medium sized bowls on the counter = 82 bowls
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of small bowls on the counter be = x
Let the number of medium bowls on the counter be = y
The total number of bowls is = 150
So , the equation will be
x + y = 150 be equation (1)
The amount the small bowl can hold = 4 ounces
The amount the medium bowl can hold = 6 ounces
The total amount of all the bowls on the counter = 764 ounces
So , the equation will be
4x + 6y = 764 be equation (2)
Now , on simplifying the equation (1) and equation (2) , we get
Multiply equation (1) by 4 , we get
4x + 4y = 600 be equation (3)
Subtracting equation (3) from equation (2) , we get
2y = 164
Divide by 2 on both sides , we get
y = 82
Therefore the number of medium sized bowl is 82 bowls
Substituting the value of y in equation (1) , we get
x + y = 150
x + 82 = 150
Subtracting 82 on both sides , we get
x = 68
Therefore , the number of small sized bowl is 68 bowls
Hence ,
The number of small sized bowls on the counter = 68 bowls
The number of medium sized bowls on the counter = 82 bowls
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(GIVING BRAINLIEST!!)
Choose the equation that represents the fraction one twelfth.
12 ÷ 1 = ________
12 ÷ 11 = ________
1 ÷ 12 = ________
11 ÷ 12 = ________
The first equation (12÷1) represents the fraction one twelfth since it can be written as 1/12.
Hope it helps!
Answer:
The one that represents the fraction one twelfth is the 3rd option down 1 divided by 12
Step-by-step:
1 divided by 12 gives u the decimal for 1/12.
Use the numbered angles in the diagram to answer the question.
Which angles are congruent? How do you know?
what is the oxidation number of carbon
+4
The oxidation number of C must be +4, to make the oxidation number of the ion the same as its charge.
number of C must be + 4 to make the oxidation number of the ion the same as its charge
Find the value of ƒ(5) if
Question 12 options:
A)
19
B)
-5
C)
3
D)
7
Answer:
the value of ƒ(5) is 19
Step-by-step explanation:
Answer:
dk
Step-by-step explanation:
1/3 x 6/7=?
How do you multiply fractions?
Answer: 2/7
Step-by-step explanation:
You take the top numbers and multiply them and then take the bottom numbers and multiply them and then you simplify.
1/3 × 6/7 = 6/21 = 2/7
To multiply fractions we'll multiply numerator with the numerator and denominator with the denominator and simplify (1/3 × 6/7) = 6/21 = 2/7.
What are fractions?Fractions are written in p/q form,where q ≠ 0 as it would become undefined.Fractions are of two types one is proper fraction and another one is improper fraction.
A fraction is is the form of numerator divided by the denominator.
To multiply two or more fraction we simply have to multiply numerator with the numerator and denominator with the deominator to combine them into one fraction and then we simplify the combined fraction until both the numerator and the denominator has HCF of 1.
Given (1/3 × 6/7) which is,
= 6/21.
= 2/7.
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Freddy went to the museum and bought a reduced copy of a painting he saw in a exhibit. If the actual painting is 12 inches high, how wide is it ?
Answer:
It is probably 6 inches wide. I tried my best
Step-by-step explanation:
Please answer thank you !!!
haha u got go gairdian too
Here is a representation showing the amount of red and blue paint that make 2 batches of purple paint. a. On the double number line, label the tick marks to represent amounts of red paint (cups) red and blue paint used to make blue paint (cups) batches of this shade of purple paint. a. How many batches are made with 12 cups of red paint? red paint (cups) + b. How many batches are made with 6 cups of blue paint? blue paint (cups)
Answer:
Step-by-step explanation:
5 percent of adults participate in at least 30 minutes from of exercise each day. How likely is it that a randomly chosen adult will exercise 30 minutes each day
Answer:
5% probability that the adult will exercise 30 minutes each day
Step-by-step explanation:
The exercise states that 5 percent of adults participate in at least 30 minutes from of exercise each day.
The interpretation of this is that if we choose a randomly selected adult, there is a 5% probability that the adult will exercise 30 minutes each day.
Give the coordinates of point A.
A.
A. (2,5)
O B. (5,2).
C. (-5,-2)
O D. (-2,-5)
Answer:
Its D (-2,-5)
Step-by-step explanation:
Point A rest in the (negative, negative) and you have to go along the x first which is -2 and down which is -5 so your answer in (-2,-5)
Also I just did this and is was correct.
Hope this helps!
The coordinates of point A is (-2,-5).
What is a coordinate of a point?Each point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate). The origin is located at (0,0).
The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane.
From the given graph, we can see
Point A rest in the (negative, negative) and you have to go along the x first which is -2 and down which is -5 so your answer in (-2,-5)
The coordinates of point A is (-2,-5).
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y = -2, 3y-4 evaluate it please
What is the solution for 7 +2x/5=13
Answer:
The correct answer is,
[tex]x = \frac{65}{37} [/tex]
how to calculate area when you are given volume of 182m3 and height of 2.8m
Hey there!
We simply have to do 182/2.8, and you will get the area (65m^2).
We know that the formula for area is length x width, and the formula for volume is length x width x height. In the volume formula, we can see it can also be area x height to get volume. So, we know that area x height = volume, right? And in this equation, we are given volume and height. If V = ha, with V = volume; h = height; a = area, we can divide "h" on both sides, and we get V/h = a, or volume divided by height is area. To solve for the above equation, we can plug the numbers in the formula: 182/2.8 = a, or 65 = a.
Hope this helps! Have an amazing day, and remember, you've got this!
8. Write an algebraic expression to represent each
word expression.
e. fourteen less than three times a number n
what is the volume of the right cone shown below?
Answer:
A it's a because 45 x 10³ is 75
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the estimate to have a maximum error of 0.14 gallons. A previous study found that for an average family the standard deviation is 1.4 gallons and the mean is 15.9 gallons per day. If they are using a 80% level of confidence, how large of a sample is required to estimate the mean usage of water
Answer:
A sample of 164 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.8}{2} = 0.1[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.1 = 0.9[/tex], so [tex]z = 1.28[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
How large of a sample is required to estimate the mean usage of water
We need a sample of n.
n is found when [tex]\sigma = 1.4, M = 0.14[/tex]. So
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.14 = 1.28*\frac{1.4}{\sqrt{n}}[/tex]
[tex]0.14\sqrt{n} = 1.28*1.4[/tex]
[tex]\sqrt{n} = \frac{1.28*1.4}{0.14}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.28*1.4}{0.14})^{2}[/tex]
[tex]n = 163.84[/tex]
Rounding up
A sample of 164 is needed.
What happens when you add and subtract like fractions
Answer:hey must have the same denominator (the bottom value). If the denominators are already the same then it is just a matter of either adding or subtracting the numerators (the top value). If the denominators are different then a common denominator needs to be found.
Step-by-step explanation:
Compute $\left(\sqrt{675} - \sqrt{363}\right)^2$.
Answer:
( √675 - √363 )²
= (( 988 - ( √363 × 363 ))
= (( 988 - 131.769 ))
= - 130.781
The expression equivalent to the given one is - 130.781.
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple,
We have given an expression;
( √675 - √363 )²
= (( 988 - ( √363 × 363 ))
= (( 988 - 131.769 ))
= - 130.781
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What is the outlier in the following data set? 12,24,15,63,12,22,26,15,30
Answer:
63
Step-by-step explanation:
very far from thesecond largest number
hope this helps <3
Help Me! With this question
Nancy has 7 boxes of tomatoes. Each day, she picks another
2
box. How many boxes of
tomatoes will Nancy have in 6 days? Write an equation, complete the table, and then graph to
solve the problem.
Answer:
19 boxes of tomatoes
Step-by-step explanation:
If she starts with 7 boxes of tomatoes and she picks 2 more each day for 6 days then you can multiply 2 by 6 and get 12 tomatoes then you add the 7 boxes she originally started with and you get 19 boxes of tomatoes.
The number of boxes Nancy had after 6 days is 19, the equation representing the given phrase is y = 2x + 7, and the graph is attached below.
What is graph?A collection of objects is arranged in a graph, where some object pairings are conceptually "linked." Each pair of connected vertices is referred to as an edge, and the objects are represented by mathematical abstractions known as vertices.
Given:
Nancy has 7 boxes of tomatoes,
Each day, she picks another 2 boxes,
The equation which will represent the above phrase is shown below,
Total number of tomatoes = The number of tomatoes she already had + number of days × each day's tomatoes picked by Nancy,
Assume the total number is y and the number of days is x then,
y = 7 + 2 × x
y = 2x + 7
Put the value of x = 6,
y = 2 × 6 + 7
y = 12 + 7
y = 19
Thus, she has a total of 19 boxes of tomatoes after 6 days.
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The cost of making copies at Store W is $14 regardless of the number of copies. The cost of making copies at Store Z is 60cents per copy plus a $2 charge for the use of the machine. The total cost, c, of making n copies at either store can be represented by an equation. Write and graph a system to find how many copies you have to make for the cost to be the same at both stores. Use pencil and paper. If you have to make a small number of copies which store should you go to? If you have to make a large number of copies which store should you go to? Explain.
Answer:
store w: c = $14
store z: c = 0.60n + 2
Step-by-step explanation:
i had a similiar question with different numbers so i just changed the numbers for ur equation :)
The equation to make for the cost to be the same at both stores would be; 14 = 0.60n + 2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We are given that cost of making copies at Store W is $14 regardless of the number of copies. And the cost of making copies at Store Z is 60 cents per copy plus a $2 charge for the use of the machine.
The total cost, c, of making n copies at either store can be represented by an equation as;
The store w:
c = $14
The store z:
c = 0.60n + 2
Solving for n then
14 = 0.60n + 2
0.60n = 12
n = 20
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Hello! Please answer this question with all of the info it is asked for. Please be sure to include all of your work and share any of your thoughts you had when solving. Please do not answer unless you know the answer. Thanks! Good Luck!
3) A diver springs up off of a diving board at an initial velocity of 24 ft/sec. The diving board is 30 feet above the water. The function that models the diver's height is: h(t) = -16t^2 + 24t + 30.
a) Find how long it takes for the diver to reach maximum height. Why can't we double this time to find how long the diver is in the air before hitting the water?
b) Determine the maximum height of the diver.
c) How far is the diver from the water after 2 seconds?
Answer:
a) 3/4 secb) 39 feetc) 14 feetStep-by-step explanation:
Given function:
h(t) = -16t^2 + 24t + 30a) Maximum height is the vertex of the graph. Time needed:
t = -24/2(-16) = 24/32 = 3/4 secIf we double this time then diver will pass the peak point and it doesn't double the height
b) Maximum height is at vertex:
h(3/4) = -16*(3/4)^2 + 24*3/4 + 30 = 39 feetc) Distance from water after 2 seconds:
h(2) = -16*2^2 + 24*2 + 30 = 14 feetSOS! Can some please help me!
Answer:
8.9
Step-by-step explanation:
1. DE:BC=AD:AB
2. AD=AB+BD, but according to the conditions AB=5, then
AD=5+BD.
3. after the substitution DE=16; BC=9; AB=5 and AD=5+BD into the formula:
16:9=(5+BD):5;
[tex]\frac{16}{9} =\frac{BD+5}{5};[/tex]
BD=80/9 - 5≈3.9.
4. if AD=AB+BD, then AD=5+3,9=8,9
Answer:
8.9 is your answer to the question
A miniature golf course has a special group rate. You can pay $20 plus $3 per person when you have a group of 5 or more friends. Let be the number of friends and be the total cost.
1) Determine which variable is independent and which is dependent.
2) Write an equation that models the situation.
Please help me.
1 - Dependent Variable
2- 3x + 20 = 35
how do I write 10b4 + 3b2 - 11 in quadratic form
Answer:
46b-11
Step-by-step explanation:
Are these ratios equivalent?
6 centiliters every 2 months
48 centiliters every 16 months
what’s the equation of the following
[tex] \bold {m = \frac{rise}{run} } \\ m = \frac{0 - ( -2)}{0 - 10} \\ m = \frac{0 + 2}{ - 10} \\ m = \frac{2}{ - 10} \\ m = - \frac{1}{5} [/tex]
From the slope-intercept form.[tex]y = mx + b \\ m = slope \\ b = y - intercept[/tex]
Because the graph passes origin point (0,0). Therefore the value of b is 0.
Answer[tex] \large \boxed {y = - \frac{1}{5} x}[/tex]
There are 60 students in a choir. Of those students, 55% of them warm up before a performing. How many students warm up before performing
a) Find the center-radius form of the equation of the circle with center (0,0) and radius 12.
b) Graph the circle.
a) The center-radius form of the equation of the circle is
(Type an equation.)
Answer:
The general equation of circle is given by:
(x-h)² + (y-k)² = r², where, (h,k) is the center and 'r' is the radius of circle.
Here, (h , k) = (0, 0) and r = 12
∴ Equation of circle is (x-0)² + (y-0)² = 12²
or, x² + y² =144
