Answer:
$9
Step-by-step explanation:
The artist buys 8 brushes that cost $5 each, then all brushes cost
[tex]\$5\cdot 8=\$40.[/tex]
He pays $94 for all brushes and cans of paint, then all cans of paint cost
[tex]\$94-\$40=\$54.[/tex]
If he buys 6 cans of paint, then one can of paint costs
[tex]\$54:6=\$9.[/tex]
A box of markers costs $4. Mr. Reed spent $92 on markers. The number of boxes, b, can be found by solving the equation 4b=92.
Answer: the answer is 23
Step-by-step explanation: since you are trying to find the number of boxes, b, the first thing you do is isolate it by dividing 4b by 4 this eliminates the 4, and because you did it on one side you have to do it on the other so you work would look like this 4b/4=92/4 you equation would look like this when done b=23
To find the number of boxes Mr. Reed bought, we solve the equation 4b = 92. This involves dividing 92 by 4 which results in 23 boxes of markers.
Explanation:The subject of this question is Mathematics, particularly algebra. We need to solve the equation 4b = 92, where 'b' represents the number of boxes Mr.Reed bought.
Step 1: Write down the equation: 4b = 92.
Step 2: We solve for 'b' by dividing each side of the equation by 4. This gives us: b = 92/4.
Step 3: Doing the division, we find that 'b' is 23. Therefore, Mr. Reed purchased 23 boxes of markers with $92.
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will give brainliest
What is the simplified form of 72x16/50x36 ? Assume x ≠ 0.
Answer:
72 / 50 = 36/25
x^16 / x^36
= x^-20
Answer:
[tex]\frac{36}{25x^{20} }[/tex]
Step-by-step explanation:
In order to simplify this function, we have to divide by the maximum common divisor:
[tex]\frac{72x^{16} }{50x^{36} }\\ 72/2=36\\50/2=25\\\frac{36}{25} \\(x^{16} )(x^{-36})=x^{-20}=\frac{1}{x^{20} } \\\frac{36}{25x^{20} }[/tex]
By doing this you can simplify the function into the simplified form.
Cw 7.1 7.2 homework help
60 can be expressed as the sum of 5 consecutive numbers as follows:
60 = 10 + 11 + 12 + 13 + 14
The sum of the greatest and the smallest of these 5 consecutive numbers is 24.
90 can also be expressed as the sum of 5 consecutive numbers. What is the sum of the greatest and the smallest number of these 5 consecutive numbers?
A 36 B 46
C 54 D 84
please someone answer
Answer:
Let 5 consecutive no's be x,x+1,x+2,x+3,x+4
90 = x+ x+1+x+2+ x+3+x+4
90 = 5x+10
18 = x+2
x= 16
so smallest is 16
greatest = 16+4 = 20
sum = 16 +20 = 36
Grace starts with 100 milligrams of a radioactive substance. The amount of the substance decreases by 1/4 each week for a number of weeks, w. She writes the expression 100(1/4)w to find the amount of radioactive substance remaining after w weeks.
Answer:
True
Step-by-step explanation:
Each week the amount of radio active material is 100*(1/4)^x which is correct.
So at the end of 4 weeks she will have
amount = 100*(1/4)^x
amount = 100*(1/4)^4
amount = 100 * (1/256)
amount = 0.390625 grams after 4 weeks.
Answer:
Step-by-step explanation:
There is the answer.
The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function? The domain is all real numbers. The range is {y|y < 16}. The domain is all real numbers. The range is {y|y ≤ 16}. The domain is {x|–5 < x < 3}. The range is {y|y < 16}. The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}. Mark this and return Save and Exit Next
Answer:
The domain is all real numbers. The range is {y|y ≤ 16}.
Step-by-step explanation:
The vertex of a parabola is given by
[tex](\frac{-b}{2a}, \frac{4ac-b^2}{4a})[/tex].
As a = -1, b = -2, c= 15 here, then the vertex is at (1,16).
As a is negative, it opens downward, so the range is {y|y ≤ 16}.
Meanwhile, all parabolic functions have a domain of [tex]\mathbb{R}[/tex].
what is 3w - 60 if the perimiter is 449 yards?
Answer:
sooo sorry im in the third grade and notised that this is not my onw level but i really thought i could help u sorry ;(
Step-by-step explanation:
If f(x)=2x^2-5and g(h)=3x+3 find f-g (x)
[tex](f-g)(x)=f(x)-g(x)\\\\\text{We have}\ f(x)=2x^2-5\ \text{and}\ g(x)=3x+3.\ \text{Substitute:}\\\\(f-g)(x)=(2x^2-5)-(3x+3)=2x^2-5-3x-3=2x^2-3x-8\\\\Answer:\ \boxed{(f-g)(x)=2x^2-3x-8}[/tex]
Julie drew a picture of her rectangular garden,. In her picture,the length of her garden is 7/8 inches and the width is 3/4 inches. She thinks the area of her picture is 21/32 inches. do you agree or disagree with Julie ? JUSTIFY YOUR ANSWER.(Area=Length X Width)
Answer:
21/32 square inches.
Step-by-step explanation:
The area of a rectangle = length x width
The area of her picture = length x widht
= 7/8 x 3/4
= 21/32
The area of her picture is 21/32 square inches.
Yes, I agree the area of the picture is 21/32 square inches.
The area must be in square inches. So she need to specify it.
Thank you.
18 × 106) + (5 × 104)
Answer:
2,428
Step-by-step explanation:
(18 × 106) + (5 × 104)
1908 + 520
= 2,428
I'm really sorry if this isn't what you meant... but if it is then... Hope this helps you! :)
I need helpppppp please
Select the two binomials that are factors of this trinomial x^2+4x-32
So to factor this expression, I'm going to be factoring by grouping. Firstly, what two terms have a sum of 4x and a product of -32x²? That's going to be 8x and -4x. Replace 4x with 8x - 4x:
[tex]x^2+8x-4x-32[/tex]
Now, factor x² + 8x and -4x - 32 separately. Make sure that they have the same quantity on the inside of the parentheses:
[tex]x(x+8)-4(x+8)[/tex]
Now you can rewrite the expression as:
[tex](x-4)(x+8)[/tex]
Answer:In short, the two binomial factors are (x - 4) and (x + 8).
Answer:
x-4 and x+8
Step-by-step explanation:
Factoring a quadratic equation of the form x^2+bx+c:
Divide b into two numbers p and q, so that p+q = b and p*q = c
8 + (-4) = 4 = b
8 * (-4) = -32 = c
x^2+8x-4x-32
Factor by grouping
(x^2+8x)+ (-4x-32) =
x*(x+8) + -4* (x+8) = (x-4)(x+8)
If the Greatest Common Factor of L and M is 6, write the expression for the Least Common Multiple of these numbers.
Answer:
[tex]\frac{(L x M)}{6}[/tex]
Step-by-step explanation:
The greatest common factor is the greatest number that will divide two values. We have two values L and M. Each has numbers which multiply together to give the number. The highest value or most in common they share is 6. This is the GCF.
The least common multiple is the smallest positive number which is a multiple of the two. This means both L and M divide into it evenly.
We know L x M is a multiple because L and M will be factors of it. But we don't know its the least.
As an example if L= 42 and M = 60, they have GCF 6. We can multiply them to find a multiple 42 x 60 = 2520 but we don't know this is the smallest or least multiple we can find. If we divide by the GCF, 2520/6=420. Interestingly, 42 x 10 =420 and 60 x 7 =420. This means 420 is the least common multiple.
We can multiply (L x M) and then divide by the GCF of L & M to find the least common multiple.
[tex]\frac{(L x M)}{6}[/tex]
X+2=x+4
A.The equation has no solution
B.The equation has one solution
C.The equation has infinitely many solutions
Answer:
A. The equation has no solution
Mr. Jensen is a salesperson for an insurance company. His monthly paycheck includes a base salary of $2,175 and a commission of $250 for each policy he sells. Write an equation, in slope-intercept form, that represents the total amount, y, in dollars, of Mr. Jensen's paycheck in a month when he sells x policies. Do not include dollar signs in the equation.
Answer:
y = 250x + 2175
Step-by-step explanation:
Mr. Jensen month pay = 2175
Commission per policy = 250
Let "x" be the number of policy he sells and "y" is the total paycheck including the commission.
y = 250x + 2175
Thank you.
Answer:
y = 250x + 2175
Step-by-step explanation:
can you factories them
For each part A through D below, the idea is to find the common factor between the terms, which you'll then use the distributive property to pull out.
==================================
Part A
3x + 18 = 3(x+6)
Note how we pulled out a 3. If we distribute it back in, we end up with 3x+18 again. The other problems are done in a similar fashion
==================================
Part B
2x - 14 = 2(x - 7)
==================================
Part C
6x + 4 = 2(3x + 2)
==================================
Part D
9x - 15 = 3(3x - 5)
a fast food restaurant sold 35 burgers with cheese if the ratio of burger sold the cheese compared to without cheese with 7 : 3, how many burgers did they sell in total?
WILL GIVE BRAINLIEST! THIS IS 20PTS! Which mathematical property is demonstrated? If x = –3 and –3 = z, then x = z. A.) symmetric property of equality B.) transitive property of equality C.) closure property of multiplication D.) closure property of addition
Answer:
B.) transitive property of equality
Step-by-step explanation:
x = –3 and –3 = z, then x = z.
Symmetric property of equality: if a = b then b = a
Transitive property of equality: if a = b and b = c, then a = c
Closure property of multiplication: the set is closed under multiplication
Closure property of addition: the set is closed under addition
(10 points)Julia exercises at the gym. For every
3 minutes she spends running, she spends
5 minutes lifting weights. Choose 2 answers♾
Answer:
The answer is B and E
Step-by-step explanation:
Julia runs 5 time and lifts 5 times in B. She also runs 10 times and lifts 10 times in E.
solve the following system of equations by graphing y=2x+2y=x-1
y = 2x + 2
for x = 0 → y = 2(0) + 2 = 0 + 2 = 2 → (0, 2)
for x = -1 → y = 2(-1) + 2 = -2 + 2 = 0 → (-1, 0)
y = x - 1
for x = 0 → y = 0 - 1 = -1 → (0, -1)
for x = 1 → y = 1 - 1 = 0 → (1, 0)
Look at the picture.
Answer: (-3, -4) → x = -3 and y = -4.Terry bakes bread. He uses the equation 3x-18=y to find the profit, y , in dollars. He paid $18 for supplies and earns $3 for each loaf he sells. What does x represent?
Answer:
The number of loaves sold
Step-by-step explanation:
Solve x2 + 12x + 6 = 0 using the completing-the-square method.
A) x = negative six plus or minus the square root of thirty
B) x = six plus or minus the square root of thirty
C) x = negative six plus or minus the square root of six
D) x = six plus or minus the square root of six
Answer:
Option A is correct.
[tex]x = -6 \pm \sqrt{30}[/tex]
Explanation:
Given the expression: [tex]x^2+12x+6 = 0[/tex]
[tex]x^2+12x+6=0[/tex]
Subtract 6 from both sides, we get
[tex]x^2+12x=-6[/tex]
halve linear coefficient,then square it, and add it to both sides
[tex]x^2+12x+36=30[/tex]
Now, the left side is a perfect square
[tex](x+6)^2=30[/tex]
Now, take square root to both sides.
[tex]x+6=\sqrt{30}[/tex]
Subtract 6 from both sides, we get;
[tex]x = -6 \pm \sqrt{30}[/tex]
So, the solutions are : [tex]x = -6 \pm \sqrt{30}[/tex]
Answer:
The correct answer is A
[tex]x=-6\pm \sqrt{30}[/tex]
Step-by-step explanation:
The given expression is
[tex]x^2+12x+6=0[/tex]
Add [tex]-6[/tex] to both sides
[tex]x^2+12x=-6[/tex]
Add [tex](\frac{12}{2} )^2=(6)^2[/tex] to both sides.
[tex]x^2+12x+(6)^2=-6+(6)^2[/tex]
We got a perfect square on the left hand side
[tex](x+6)^2=-6+36[/tex]
Simplify the left hand side to get,
[tex](x+6)^2=30[/tex]
Take square root of both sides
[tex](x+6)=\pm \sqrt{30}[/tex]
Solve for [tex]x[/tex].
[tex]x=-6\pm \sqrt{30}[/tex]
20 POINTS ANSWER SOON PLEASE
Which table represents a proportional situation?
x f(x)
–1 –3
0 0
1 3
4 12
x f(x)
–2 2
0 4
2 6
3 7
x f(x)
–1 –5
0 –2
1 1
2 4
x f(x)
–1 5
0 1
1 –1
2 –3
Answer:
78
Step-by-step explanation:
A division of a ———ends?
The complete statement is a division of long form ends with zeroes as remainders
What is division and long division method? What is a expression? What is a mathematical equation?Division is the process of splitting a number or an amount into equal partsLong Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following statement -
A division of _____ ends?
The complete statement is -
A division of long division form ends with zeroes as remainders
Therefore, the complete statement is a division of long form ends with zeroes as remainders.
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How would u convert 5 feet 6 inches in inches
1 feet is 12 inches.
We have 5 feet and 6 inches. First, let's convert the feet to inches. 5 times 12 is 60, so 5 feet is 60 inches.
Now add 60 inches to the 6 inches that we didn't mention. 60 plus 6 is 66. Thus, 5 feet and 6 inches is 66 inches.
Answer:
The answer is 66
Step-by-step explanation: 1 foot is 12 inches so you do 12 times 5 and get 60 and then add the next 6 inches... :)
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
Answer:
y=5x+17
Step-by-step explanation:
perpendicular slope is 5
y-7=5(x+2) convert this equation into slope intercept and that's your answer
Factorize 21x^2 - 16-7x / 3x^2-4 = 5
Answer: [tex]\bold{(12x - 7 - i\sqrt{47})(12x - 7 + i\sqrt{47})=0}[/tex]
Step-by-step explanation:
[tex]\dfrac{21x^2-7x - 16}{3x^2-4}=5[/tex]
cross multiply: 21x² - 7x - 16 = 15x² - 20
set equal to 0: 6x² - 7x + 4 = 0
Use quadratic formula to find the roots:
a=6, b=-7, c=4
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]=\dfrac{-(-7) \pm \sqrt{(-7)^2-4(6)(4)}}{2(6)}[/tex]
[tex]=\dfrac{7 \pm \sqrt{49-96}}{12}[/tex]
[tex]=\dfrac{7 \pm \sqrt{-47}}{12}[/tex]
[tex]=\dfrac{7 \pm i\sqrt{47}}{12}[/tex]
[tex]x_1 =\dfrac{7 + i\sqrt{47}}{12} \qquad >>\qquad (12x - 7 - i\sqrt{47})= 0[/tex]
[tex]x_2 =\dfrac{7 - i\sqrt{47}}{12} \qquad >>\qquad (12x - 7 + i\sqrt{47})= 0[/tex]
All the members of a construction crew work at the same pace. Four of them working together are able to pour concrete foundations in 32 hours. How many hours would this job take if the number of workers
decreased 2 times
increased 2 times
increased 4 times
plz help plz WILL GIVE ALL POINTS
Answer:
Step-by-step explanation:
Please find attachment for step by step explanation.
What is the approximate area that is shaded red?
A.
42 in2
B.
54 in2
C.
66 in2
D.
396 in2
To find the area that is shaded red, you find the area of the rectangle and subtract it by the area of the triangle.
Area of a rectangle:
A = l × w [ l = 11 in ; w = 6in ] Plug these numbers into the equation
A = 11 · 6
A = 66 in²
Area of a triangle:
[tex]A=\frac{1}{2}bh[/tex] [ b = 4 in ; h = 6 in ] Plug these #s into the equation
[tex]A = \frac{1}{2}(4)(6)[/tex]
[tex]A=\frac{24}{2}[/tex]
A = 12 in²
Area of rectangle - Area of triangle = Area of the shaded region
66 in² - 12 in ² = 54 in²
Your answer is B
The required red shaded region has the area of 54 in²
What is a rectangle?A figure bounded by 4 sides in which the opposite sides are equal and all the internal angles are 90 ° is called a rectangle.
What is a triangle?A figure bounded by 3 sides and all the internal angles add up to 180 ° is called a triangle.
What is a right angled triangle?A triangle in which one angle in 90° is called a right angled triangle.The side opposite to the right angle is called the hypotenuse which is the longest side of the triangle.Area of the right angled triangle can be found with the formula :Area = (1/2)(base)(height)
How to find the area of the red shaded region?In the given problem, there is a rectangle with in which there is a white colored right angled triangle.The required area will be (Area of the rectangle) - (Area of the triangle).Area of the rectangle = (11 x 6) in² = 66 in²
Area of the right angled triangle = (1/2)(6 x 4) in² = 12 in²
∴ Area of the red shaded region = (66 - 12) in² = 54 in²
Option B is correct.
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Hello! Can someone please help me with this? There are four answers in total. :D
Problem 1
a) y = 8 and c) x = 2 are perpendicular lines to one another. The first is horizontal and the second is vertical.
The other two lines are not perpendicular because their slopes (1/8 and 8) do not multiply to -1. This rule only applies to lines that are neither horizontal nor vertical.
Answers: A and C.
============================================
Problem 2
Equations b) y = (-1/2)x - 4 and c) y-4 = 2(x+3) are perpendicular. Equation B has a slope of -1/2, while equation C has a slope of 2. Those two values multiply to -1. One slope is the negative reciprocal of the other. It might help to think of 2 as 2/1.
The other two equations are not perpendicular to each other, nor are they perpendicular to B or C. Equation A has a slope of 0. Equation D has a slope of -2.
Answers: B and C