Answer:
-71/15
Step-by-step explanation:
Order of operations rules require that we do any work enclosed in parentheses first. Thus, we must evaluate -13÷3/5. Multiplication and division can be done in either order, but for the sake of consistency, move from left to right:
-13÷3 comes out to -13/3. Divide this result by 5, obtaining -13/15.
Then the original expression, −29−(−13÷3/5), becomes -29-(-13/15), or
-29 + 13/15.
Since -29 is negative and + 13/15 is positive, we must add 13/15 to -29:
-29
+13/15
----------
This is easily done if we rewrite -29 as -28 - 15/15.
Then we have:
-28 - 15/15 +13/15, which simplifies to -28 - 2/15, or -28 2/15.
As a single fraction, that would be -71/15.
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.
5 pounds of chocolate cost $36.50. How much is each pound of Chocolate? (Please include Work)
Answer:
Each pound of chocolate costs $7.30
Step-by-step explanation:
if 5 pounds of chocolate costs $36.50 then you could simply divide the $36.50 by 5 to calculate the cost of 1 pound of chocolate.
So, 36.50 ÷ 5 = 7.30
Each pound of chocolate costs $7.30
To find the cost of each pound of chocolate, you divide the total cost by the total number of pounds. Given a total cost of $36.50 for 5 pounds of chocolate, the resulting calculation is $36.50 ÷ 5 = $7.30. Thus, each pound costs $7.30.
Explanation:If you have 5 pounds of chocolate that cost $36.50 in total, and you need to find the cost of each pound of chocolate, you can determine this by dividing the total cost by the number of pounds. This is similar to how in our reference material, to compute the cost of each piece of fruit, you divided the total expense by the quantity of fruit.
In this case, you need to divide the total cost, which is $36.50, by the quantity, which is 5 pounds. So the calculation is $36.50 ÷ 5 = $7.30. Therefore, each pound of chocolate costs $7.30.
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I need helpppppp please
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
The velocity of a car increases from 2.0 m/s to 16.0 m/s in a time period of 3.5 s. What was the average acceleration?
The average acceleration of the car is 4 m/s²
The given parameters:
initial velocity of the car, u = 2 m/s
final velocity of the car, v = 16 m/s
time of motion of the car, t = 3.5 s
To find:
the average acceleration of the carThe average acceleration of the car is calculated as the change in velocity per change in time.
The formula for average acceleration is given below;
[tex]a = \frac{\Delta v}{\Delta t} = \frac{v- u}{t} = \frac{16 - 2}{3.5} = 4 \ m/s^2[/tex]
Thus, the average acceleration of the car is 4 m/s²
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Cw 7.1 7.2 homework help
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)
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
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
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]
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)
last year the attendance at the homecoming football game was 300.This year , 360 attended What was the percent increase from last year to this year ?
Answer:
20%
Step-by-step explanation:
Percent increase is difference/original
360-300) / 300
60/300 / 60/60 = 1/5 * 20/20 = 20/100
Percent is out of 100
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.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]
Please help me, ASAP!
A candy mixture is made from 6 pounds of sugar sticks of $10 per pound and 14 pounds of jelly beans of $8 per pound. Find the price of the candy mixture per pound.
Answer: The price per pound is $18
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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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.
abcd is not drawn to scale. based on the diagonal measures given abcd
Answer:
DAB must equal 52 because same side interior angles are supplementary. Supplementary describes 2 angles whose measures add up to 180
Answer: May or may not be
Step-by-step explanation:
check the picture and trust me
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]
(03.02 LC)
Look at the figure below:
Triangle ABC with a segment joining vertex A to point D on side BC.
Which information is required to prove that angle ABD is congruent to angle ACD? (6 points)
Segment AC is congruent to segment AB.
Segment AD is congruent to segment AC.
Segment BD is congruent to segment AD.
Segment AB is congruent to segment BD.
Answer:
SEgment AC is congruent to segment AB
Step-by-step explanation:
given is a triangle ABC with a segment joining A to D on side BC.
To prove that ABD is congruent to ACD
Let us compare these two triangles.
AD = AD (reflexive) Thus one side is equal.
IF AB = AC, then by isosceles triangles property we have angle B = angle C
Thus we get two sides equal. But this is a necessary condition not sufficient.
Because to prove congruence we need one more condition either CD = BD or Angle CAD = angle DAB
Thus if either AD is angle bisector, or D is mid point besides AC = AB we get
the two triangles are congruent.
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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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
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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Order each step and justification that is needed to solve the equation below. 2/3y+ 15=9
[ Answer ]
Y = -9
[ Explanation ]
Subtract 15 from both sides:
2/3y + 15 - 15 = 9 - 15
Simplify:
2/3y = -6
Multiply each side by 3:
3 * 2/3y = 3 (-6)
Simplify:
2y = -18
Divide both sides by 2:
2y / 2 = -18/2
y = -9
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Using the simplification, it is proven that the y = -9 from the equation 2/3y + 15 = 9.
What is a system of equations?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.
Given that 2/3y + 15 = 9
Subtract 15 from both sides;
2/3y + 15 - 15 = 9 - 15
Now Simplify,
2/3y = -6
Multiply each side by 3,
3 (2/3y) = 3 (-6)
2y = -18
y = -9
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-x+2 > 3 whats the answer plz its urgent thanks
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].
3x + 5 equals 19 - 4x what does x equals to
Answer:
x = 2Step-by-step explanation:
3x + 5 = 19 - 4x subtract 5 from both sides
3x = 14 - 4x add 4x to both sides
7x = 14 divide both sides by 7
x = 2
Answer:
x=2
Step-by-step explanation:
3x + 5 = 19 - 4x
Add 4x to each side
3x + 5 +4x= 19 - 4x+4x
7x+5 = 19
Subtract 5 from each side
7x+5-5 =19-5
7x =14
Divide each side by 7
7x/7 = 14/7
x = 2
(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.
which expression is equivalent to (7x^2-4)(5x+7)
Expand to get 35x^3+49x^2-20x-28
Answer:
3x(3x + 2)
Step-by-step explanation:
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?