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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Danny purchases a shirt for $30. The store charges him 8% sales tax on the purchase. How much sales tax will the store charge on the purchase?
Answer:
tax = $30.00 * 8% tax = $30.00 * 0.08 tax = $2.40
Step-by-step explanation:
Factor the polynomial:
462 + 15b - 4
Answer:
15([tex]\frac{458}{15}[/tex]+b) or
15(b+[tex]\frac{458}{15}[/tex])
Step-by-step explanation:
First we can subtract the 4.
458 + 15b
Now we need to find the GCF, but they do not share any kinds of factors together. This might look ugly, but it is what it is. We factor out 15 to get b by itself.
15([tex]\frac{458}{15}[/tex]+b) or
15(b+[tex]\frac{458}{15}[/tex])
5x -3x + 19 = 2x - 10
Answer: x = 7.25
Explanation:
Which numerical expression represents, two fifths of the product of five eighths and sixteen? please help
9514 1404 393
Answer:
[tex]\dfrac{2}{5}\times\left(\dfrac{5}{8}\times 16\right)[/tex]
Step-by-step explanation:
In this context, "of" means "times". A product of two numbers is computed by taking one "times" the other. In short, the operations being described by the words are two uses of "times". That shows up in only one answer choice.
Calculate the quotient. Use paper to show all calculations. Enter your answer in the box below.
6/7 divided by 7 1/2
Answer:
4/35
Step-by-step explanation:
1. Find 7 1/2
15/2
2. Flip 15/2
2/15
3. Multiply
12/105
4. Simplify
4/35
Determine whether or not the following graph represents two quantities that are proportional to each other. Explain your reasoning.
Answer:
The quantities are not proportional.
Step-by-step explanation:
The values, x and y, do not begin or pass through the origin, (0,0). This means they are not proportional.
The graph represents two quantities are not proportional to each other.
What is Proportional?A relationship is proportional if each pair of data values are related in the same way, by multiplying by a factor. You can recognize a proportional relationship by looking at data, an equation, or a graph.
Given:
As, A relationship is proportionate if its graph is a line or ray that passes through the origin.
and, It is not proportionate if the line or ray does not go through the origin. Additionally, if anything is not linear, it is not proportional.
Here the graph also does not pass through the origin.
Hence, the graph is not proportional.
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Suppose that the functions r and s are defined for all real numbers x as follows.
Answer:
a) ( r+ s) (x) = 3 x + 9
b) ( r . s ) (x) = 2 x² + 13 x +20
c) ( r- s) (x) = -1 -x
Step-by-step explanation:
Step(i):-
Given that r(x) = x +4 and s(x) = 2x + 5
a) ( r+ s) (x) = r(x) + s(x)
= x +4 + 2x +5
= 3 x + 9
( r+ s) (x) = 3 x + 9
b)
( r . s ) (x) = r(x) . s(x)
= (x+4) . ( 2x +5)
= x ( 2x +5) + 4( 2x +5)
= 2 x² + 5 x + 8 x +20
= 2 x² + 13 x +20
( r . s ) (x) = 2 x² + 13 x +20
c)
( r- s) (x) = r(x) - s(x)
= (x+4 - ( 2x +5)
= x +4 - 2x -5
= -x -1
( r- s) (x) = -1 -x
0.62 devided by 3 please
Answer:
0.206 and then it repeats 6 over and over again
Step-by-step explanation:
hope it helped :)
Answer:
hey there!Step-by-step explanation:
the answer is:
0.20666666666
hope it helped and have a nice day!What three pairs of numbers have 5 as there greatest common factor?
Answer:
10 and 15, 20 and 25, and 35 and 45.
Step-by-step explanation:
Apply the Distributive Property and simplify.
- 8(x + 3) = 24
- 8x +
= 24
Answer:
x=-6
Step-by-step explanation:
-8(x+3)=24 first, divide both sides to get x+3=-3
then move the constant to the right and change its sign to get x=-3-3 and calculate to get your answer.
hope this helps!
. log 3x4
Expand each expression
Answer:
12
Step-by-step explanation:
because 3x4 is 12
2 divided by 9/10 (in fraction or mixed number form)
Answer:
decimal: 2.22 mixed number: 2 2/9
12 The sixth grade at Johnson Middle School set a goal to raise $8,000 for their end-of -the-year field trip to Washington DC. September December March $10,000 $10,000 $9,000 $9,000 $8,000 Goal $7,000 $10,000 $9,000 $8,000 Goal $8,000 Goal $7,000 $7,000 $6,000 $5,000 $6,000 $5,000 $4,000 $3,000 $2,000 $1,000 $6,000 $5,000 $4,000 $4,000 $3,000 $3,000 $2,000 $1,000 $2,000 $1,000 60 Grade Grade 6 Grade (a) On the first day of school, Bethany's family donated $60 to the field trip fundraiser. What percent of their total goal did Bethany's family donate? F 0.75% G 75% H 2.5% J 0.25%
Answer:
0.75%
Step-by-step explanation:
Total amount to generate at fundraiser = $8000
Amount donated by Bethany family = $60
The percentage of Bethany's donation towards the fundraiser is :
Let percentage = x
x% of 8000 = 60
x/100 * 8000 = 60
0.01x * 8000 = 60
80x = 60
Divide both sides by des by 80
80x / 80 = 60 / 80
x = 0.75
luke bought 6 pretzels for himself and friends he spent a total of $13.50 let p represent the price of one pretzel
Answer:
6p=$13.50
Step-by-step explanation:
estimate 7/8 of 4/5. I will give brainiest
Answer:
0.7
Step-by-step explanation: I used a calculator.
1) The perimeter of a square is 16 inches. What is the length of each side?
4 inches
8 inches
64 inches
32 inches
Done >
The polygons are similar. Solve for x.
scale factor from A to B = 3:5
Answer:
9
Step-by-step explanation:
if scale factor is 3/5, then
(x+12):35=3:5, ⇒
[tex]\frac{x+12}{35} =\frac{3}{5}; x=21-12; x=9[/tex]
3,500 divided by what =70
Answer:
50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
3500 ÷ 70 = 50
3500 ÷ 50 = 70
Simplify 32 ⋅ 35. (4 points)
Question 3 options:
1)
37
2)
310
3)
97
4)
910
Answer:
Jul 25, 2019 — Click here to get an answer to your question ✍️ 3. Simplify 32 • 35 ... 3. Simplify 32 • 35. (4 points) 37 310 97 910. 2. See answers. Log in to ...
2 answers
Step-by-step explanation:
Solve for x.
−3x + 2b > 8
Answer:
x<2/3b+-8/3
Step-by-step explanation:
Let's solve for x.
−3x+2b>8
Step 1: Add -2b to both sides.
2b−3x+−2b>8+−2b
−3x>−2b+8
Step 2: Divide both sides by -3.
-3x/-3>-2b+8/-3
x<2/3b+-8/3
Answer is : x<2/3b+-8/3
a street sign is 104 inches tall. How tall is it in feet and inches.
Answer:
8 ft 8 in
Step-by-step explanation:
104/12 = 8.666...
This shows that there are 8 total feet because there are 12 inches in a foot
Then, multiply 8*12 to get 96 in order to get the remainder of the inches left that do not make up one whole foot.
Then subtract 96 from 104 (104-96) to get the remainder which is 8 inches.
What is M - 3 > -2???
Answer:
m>1
Step-by-step explanation:
inverse operations... add 3 to both sides so you get -2+3=1!!
This is marked as wrong? Can anyone please correct my mistake?
Answer:
y - 0 = -⅔(x - 3)
Step-by-step explanation:
Given a point, (a, b) and slope, m, equation of the line in point-slope form can be written.
Thus:
Substitute (a b) = (3, 0), and m = -⅔ into y - b = m(x - a).
y - 0 = -⅔(x - 3) (the equation in point-slope form)
can you help me i have only one day
Answer:
n = -1.825
Step-by-step explanation:
8n + 16.2 = 1.6 (Given)
8n = -14.6 (Subtract 16.2 on both sides)
n = -1.825 (Divide 8 on both sides)
Step-by-step explanation:
Move all terms not containing
n
to the right side of the equation.
Tap for fewer steps...
Subtract
16.2
from both sides of the equation.
8
n
=
1.6
−
16.2
Subtract
16.2
from
1.6
.
8
n
=
−
14.6
Divide each term by
8
and simplify.
Tap for fewer steps...
Divide each term in
8
n
=
−
14.6
by
8
.
8
n
8
=
−
14.6
8
Cancel the common factor of
8
.
Tap for more steps...
n
=
−
14.6
8
Divide
−
14.6
by
8
.
n
=
−
1.825
why do planets orbit
Answer:
Newton realized that the reason the planets orbit the Sun is related to why objects fall to Earth when we drop them. The Sun's gravity pulls on the planets, just as Earth's gravity pulls down anything that is not held up by some other force and keeps you and me on the ground.
Step-by-step explanation:
A speed skater skates 1.5 km in 78 s. What is her speed in km/h? Round to the nearest
Answer:
Step-by-step explanation:
Speed=Distance/Time
1.5/78=0.01923076923
Answer rounded=0.02/0.019
A triangle has a base of 16" in height of 1/8 inch what is the area?
Answer:
Area of triangle is 1 inches²
Step-by-step explanation:
We are given:
Base of triangle = 16 inches
Height of triangle = [tex]\frac{1}{8} \:[/tex] inches
We need to find:
Area of triangle
The formula used to find Area of triangle is:
[tex]Area \:of\: triangle=\frac{1}{2}\times b \times h[/tex]
where b is base and h is height.
Putting values and finding area:
[tex]Area \:of\: triangle=\frac{1}{2}\times 16 \times \frac{1}{8}\\ Area \:of\: triangle=\frac{16}{16}\\ Area \:of\: triangle=1\:inches^2[/tex]
So, Area of triangle is 1 inches²
Please any help with steps
Answer:
C
Step-by-step explanation:
1 inch=400 miles
x =200 miles
200 is half of 400, so the measurement should be halved as well.
Pls help on #10 will give brainliest
Point A is located at (8, 7) and Point B is located at (0, 5) find the midpoint of line segment overline AB .
Answer:
The midpoint of the line segment D = ( 4, 6)
Step-by-step explanation:
Explanation:-
Given points are A(8,7) and B(0,5)
The midpoint of line segment overline AB
Let 'D' be the midpoint of AB
[tex]D= (\frac{x_{1} + x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]
[tex]D = (\frac{8+0}{2} , \frac{7+5}{2} )[/tex]
[tex]D = (\frac{8}{2} , \frac{12}{2} )[/tex]
The midpoint of the line segment
D = ( 4, 6)