The cost of dough per ounce is $0.462.
How to calculate the cost per item?In order to calculate the cost of one item, divide the total cost of items by the total number of items.
It is also called the unit rate of that item.
The cost for 25 ounce dough of $11.55.
The price per ounce is equivalent to the unit rate given as,
Unit rate = Total cost ÷ Amount of dough
= 11.55 ÷ 25
= 0.462
Hence, Ethan's price per ounce of dough is $0.462.
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3. The sides of a triangular birdcage are consecutive integers. If the perimeter is 114 centimeters, what is the length of each side? Label each side with an expression that represents its length.
Answer:
Sides of the triangular birdcage are 37 cm, 38 cm, 39 cm.
Step-by-step explanation:
In the given triangular birdcage, sides of the triangle are consecutive integers.
Let sides of the triangle are x, (x + 1), (x + 2) cm.
Perimeter of a triangle = Sum of all sides of the given triangle
114 = x + (x + 1) + (x + 2)
114 = 3x + 3
3x = 111
x = [tex]\frac{111}{3}[/tex]
x = 37
Therefore, sides of the triangular birdcage are 37 cm, 38 cm, 39 cm.
If the length,l, of the yard is 18 feet longer than the width ,w, of the yard, what is the area of the yard , in square yard
Answer: The area is [tex]w^{2}[/tex] + 18w
Step-by-step explanation:
We could represent the length of the yard by l = w+18 and the width as w .
And to find the area we will have to multiply the length by the width.
A= w(w+18 ) multiply
A= [tex]w^{2}[/tex] + 18w
Answer:
27^2 yards
Step-by-step explanation:
Perimeter = 2W + 2L ..... and the width is 18 more than the length....therefore
Perimeter = 2[L + 18] + 2L
72 = 2L + 36 + 2L
72 = 4L + 36 subtract 36 from each side
36 = 4L divide both sides by 4
9 = L and the width is 18 more = 27
So....the area = W x L = 27 x 9 = 243 ft^2 = 27^2 yards
(divide the area value by 9 )
8x+2>34 Y’all know how to do this?
Answer:
x>4
Step-by-step explanation:
8x+2>34
8x+2-2>34-2
8x>32
8x/8>32/8
x>4
{x:x=4,5,6,7,8,9...}
Hope this helps ;)❤❤❤
Answer:
x>4
Step-by-step explanation:
trust
Name three non-collinear points. Please help :)
Answer: M, K, N
Step-by-step explanation: In order points to be non-collinear,
the points can't lie on the same line.
So what we are looking for are points that don't lie on the same line.
The correct answer would be points M, K, N.
Although M, K, R, and R, N, K, look like points that are non-collinear,
they aren't all points since R is the name of the plane.
toilet paper is sold in cases of 36 rolls for 14.99 what is the price per roll (unite rate)
Answer:
0.42 per roll
Step-by-step explanation:
You divide 14.99 by 36 and get 0.4163888 (8 repeating) and you round up because it is money.
/tttybvdhm ghillbhujw w wiqoq w wbwiownq ab
Step-by-step explanation:
don't ask these bad questions
Is the inequality always, sometimes, or never true?
3x - 14 < 3(x-5)
Answer:
3x - 14 < 3x - 15
-14 < -15
never true
Step-by-step explanation:
An angle measures 112º more than the measure of its supplementary angle. What is the
measure of each angle?
Answer:
The angles measure 34 degrees and 146 degrees.
Step-by-step explanation:
The supplement measures x.
The angle measures x + 112.
The measures of supplementary angles have a sum of 180 deg.
x + 112 + x = 180
2x + 112 = 180
2x = 68
x = 34
x + 112 = 146
The angles measure 34 degrees and 146 degrees.
Mr. Drew wants to build a square sandbox with an area of 361 square feet. What is the total length of the wood Mr. Drew needs make the sides of the sandbox
Answer:
The Sandbox must be 19x19 for the area to be 361.
Step-by-step explanation:
(19x19=361)
The length of the sandbox will be 19 feet.
What is the area of the square?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.
Given that Mr. Drew wants to build a square sandbox with an area of 361 square feet.
The length will be calculated by using the area formula for square;
Area of square = Length x width
Then the area of the square can be written as;
Area of square = ( Length )²
361= ( Length )²
( Length ) = √361
( Length ) = 19feet
Therefore, the length of the sandbox will be 19feet.
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PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY IM JUST DUMB!! 2 QUESTIONS!!
3. Which information can always be read directly from an equation written in point-slope form?
A) The location of the X-intercept.
B) The location of 2(X,Y) coordinate points.
C) The location of a point on the line.
5. Which is the slope-intercept form of the equation y-9=3(x-1)
A) Y= -1/3x-3
B) Y= 3x+6
C) Y= 3x-12
Answer:
5. (B) Y= 3x+6Step-by-step explanation:
5.
[tex]y-9=3(x-1)\\y -9 =3x-3\\y= 3x-3+9\\y = 3x+6\\\\Slope-intercept form = y=mx+b\\\\y = 3x+6[/tex]
Answer:
3. C
Step-by-step explanation:
Point slope form shows you the slope and point on the graph, NOT Y INTERCEPT
Hope this helps
As always comment if i made a mistake here
Complete the following problem and round to the correct number of significant figures:
1.050 + 3.0 + 7.8000
What is the answer for this equation or problem? y+6=52 and what does y equal.
Answer: y=46
Step-by-step explanation:
Subtract 6 from either side to ensure that the y is alone. This then equals y=52-6.
52-6= 46
So therefore, y=46
Answer:
y=46
Step-by-step explanation:
We are given the equation:
y+6=52
and asked to solve for y. Therefore, we must isolate y on one side of the equation.
6 is being added to y. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.
y+6-6=52-6
y=52-6
y= 46
Let’s check our solution. Plug 46 in for y and solve.
y+6=52
46+6=52
52=52
This checks out, so we know our solution is correct.
The solution to the equation y+6=52 is y=46
Which expression is represented by the diagram? ( Marked 1-4, I can't paste the question.)
Answer:
-6-(-1)
Step-by-step explanation:
Since all the boxes are negative, and there are 6 boxes, the first part of the equation is -6. Then since the last box is being taken away, we are subtracting it. The last box is still negative though so the last part is -1. Since -6 subtracted by -1 is -6-(-1), the answer is:
-6-(-1)
Equivalent expressions to an-1
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
what is 7a - 6 + 8a simplfied?
Answer:
15a - 6
Step-by-step explanation:
7a - 6 + 8a
Combine like terms
15a - 6
Lydia guessed there were 180 jelly beans in a container.
There were actually 220 jelly beans in the container.
What was Lydia's percent error?
Answer:
18.18% error
Step-by-step explanation:
Use the percent error formula,
% error = | (measured - accepted) / accepted | x 100
Plug in the values we know:
% error = | (180 - 220) / 220 | x 100
% error = | - 0.18 | x 100
% error = 18.18% error
Warm-Up
Match the math vocabulary to parts of the expression w+ 5w. Two tiles will not be used.
Tiles
term
exponent
constant
expression
equation
variable
coefficient
Pairs
w2 + 5w
the win w2 + 5w
the 2 in w2 + 5W
the 5 in w2 + 5w
the w? or the 5w in w2 + 5w
Submit
Answer:
The w in w² + 5·w → Variable
The 2 in w² + 5·w → Exponent
The 5 in w² + 5·w → Coefficient
Step-by-step explanation:
1) The variable in an equation are the unknown values of the equation, and the values of the variables that meet the requirements of the equality are known as the solutions of the equations;
2) The exponent is the power to which a number or a variable is raised. It shows the number of times the variable or number multiples itself
3) The coefficient is the factor multiplying the variable in an equation or expression.
Answer:
w2 + 5w →→→ Expression
The w in w² + 5·w →→→ Variable
The 2 in w² + 5·w →→→ Exponent
The 5 in w² + 5·w →→→ Coefficient
the w? or the 5w in w2 + 5w →→→ Term
Step-by-step explanation:
P is a point inside a rectangle ABCD, where PA = 3, PC = 7 and PD = 6. Find PB.
Answer: I believe PB is 4
Step-by-step explanation: The diagonal AC equals 10 (7 + 3) and for diagonal DB to equal the same length, PB must be 4 (6 + 4=10).
Convert 3.5×104 to standard form
HELPPP ASAP Explain why each number is irrational
Answer:
okay check this ans
Step-by-step explanation:
1} pi is because it is non terminating...2) root seven also is because square roots of perfect squares are integers, the square roots of all other integers are irrational so..3) because its non-terminatingHOPE YOU FOUND THIS HELPFUL...
PLZ MARK BRAINLIEST IF YOU DID
HeLp PlEasE What is the factored form of the following expression? 9x2 + 18x + 9 A. 3(x + 3)(3x + 1) B. 9(x + 1)2 C. (9x + 1)(x + 9) D. 3(x + 1)2 help DDDDDDD:
Answer:
The answer is option BStep-by-step explanation:
9x² + 18x + 9
Factor out 9 from the expression
That's
9( x² + 2x + 1)
Using the identity
a² + 2ab + b² = ( a + b)² factor the expression
We have the final answer as
9( x + 1)²Hope this helps you
what is 10+y,and 10+inf
Answer:
inf is the answer
Step-by-step explanation:
Answer:
∞Step-by-step explanation:
Find the co-ordinate of a pont on Y-axis which is at a distance of 17 units from the point(-8,3)
Answer:
15 units
Step-by-step explanation:
√[ 17² - ( - 8)² ] = 15 ( on y-axis )
Coordinate of the point = ( 0 , 15 )
Which answer choice properly reflects labeling a ray with endpoint B and direction C.
Answer:
the 4th choice
Step-by-step explanation:
To name a ray, use two letters which are the names of points on the ray. The first letter is the endpoint of the ray. Here it is B. Then you use a letter which another point on the ray. Here it is C.
Answer: the 4th choice
A car factory cuts sheets of metal that are two and ninety-eight thousandths meters long. How could you write the length of the sheets of metal in standard form?
Answer:
We can write it as: 298000 meters long
David is a truck driver. He drives 546 miles each day. How many total miles does he drive in 12 days?
Answer:
6552
Step-by-step explanation:
546 x 12
Answer:
6,552 miles
Step-by-step explanation:
Daily: 546 miles
you need to find out how many miles he drives in 12 days, so that would be the daily amount by 12
546× 12 =6,552 miles
what math symbol is this?
Σ
Answer:
summation
Step-by-step explanation:
This symbol is the summation symbol
It means to sum what comes after it
Mandy's science class counted the bones in an owl pellet.
How many more rib bones were there than skull and jaw bones combined?
Mario and Luigi want to purchase some extra controllers for their friends. Each controller costs $29.99. Use an algebraic expression to describe how much they will spend in total, before sales tax, based on purchasing the console, the number of games, and the number of extra controllers
Answer:
C = 299x + 59.99y + 29.99z
Step-by-step explanation:
An algebraic expression is an expression in which it involves the numbers like 1,2,3 also it includes the operations such as additions, subtraction, multiplication, etc
Fo mentioning an algebraic expression, we do have following components
x = number of consoles purchased
y = number of games purchased
z = number of controllers purchased
C = total cost
Also, the total cost would be equivalent to the sum of the price and then it multiplied with the numbers as stated above
So, the algebraic expression is
C = 299x + 59.99y + 29.99z
A 3% salt solution weighing 100g represents 100g of water in which 3g of salt is dissolved (=3/10). What amount of salt would be combined in 100g of a 14% salt solution? And how many grams of water are in the same solution?
Answer:
There would be 12 g of salt (12.3 g actually but rounded) and 88g of water (88.7 g actually but rounded)
Step-by-step explanation:
From the question, a 14% salt solution means 14g of salt in 100g of water.
What this means is that, the fraction of salt to water in the solution would be 14/100 which is same as 7/50
Now, we want to know the amount of salt and the amount of water in a 100g of 14% salt solution.
Looking at the ratio salt to water, we have 7 to 50
For every 50 parts of water, there are 7 parts of salt.
So the ratio of both is 7:50
For salt, the amount in grammes present will be ;
7/(50 + 7) * 100g = 7/57 * 100 = 12.3 g or 12g to the nearest whole number
The amount in grammes of water present will be ;
50/(50 + 7) * 100g = 50/57 * 100 = 87.7g or 88g to the nearest whole number