Answer
Let's just get the answer so that you see what we are trying to do with the distributive property.
Cost = C = n (number of books) * Cost of 1 book.
Cost = 7 * 11.20
Cost = 78.40
Distributive Property
11.20 * (4 + 3)
11.20 * 4 + 11.20 * 3
44.80 +33.60
78.40 which agrees with the multiplication answer
To calculate the total cost we have to multiply 7 books by the cost of each book
Total = 7*$11.20 = $78.4
Answer : $78.4
Hope this helps!
[tex]\textit{\textbf{Spymore}}[/tex]
Simplify the following expression.
7d + 12 – 4d – 3
Hello!
[tex]7d + 12 -4d -3\\[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓
First this problem it should be the group like terms.
[tex]7d-4d+12-3[/tex]
Then you add similar elements.
[tex]7d-4d=3d[/tex]
[tex]3d+12-3[/tex]
You can also add or subtract by the numbers.
[tex]12-3=9[/tex]
[tex]=3d+9[/tex]
Answer⇒⇒⇒3d+9
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
we can solve this by first combining like terms: our like terms in this equation are d and plain numbers
so, this means that we can combine the d's with the d's and the plain numbers with the plain numbers
so,
7d + 12 - 4d - 3 = 0
3d+ 9 = 0
next, we have to get our plain numbers on one side of the equal sign, and our numbers with the d's on the other side of the equal sign: we do this by doing the opposite of what the number is doing on the side it is on, since the 9 is being subtracted from the left hand side, we will subtract it from both sides:
3d = -9
next, we want to get rid of the 3 next to the d
to do this, we would divide the 3 on both sides since it is being multiplied to the d on the left hand side:
d = -3
this is our final answer: d = -3
The ace telephone co. charges a flat monthly fee of $22.00 for a telephone line and $0.20 per minute for long distance calls. Sketch a graph of this equation for up to 100 minutes of calls
What is 254‾‾‾√+524‾‾‾√ in simplified radical form? Enter your answer in the box.
PLLEEEAASSE!!!
[tex]\bf 2\sqrt{54}+5\sqrt{24}\qquad \begin{cases} 54=2\cdot 3\cdot 3\cdot 3\\ \qquad 2\cdot 3\cdot 3^2\\ \qquad 6\cdot 3^2\\ 24=2\cdot 2\cdot 2\cdot 3\\ \qquad 2^2\cdot 6 \end{cases}\implies 2\sqrt{6\cdot 3^2}+5\sqrt{2^2\cdot 6} \\\\\\ 6\sqrt{6}+10\sqrt{6}\implies \stackrel{\textit{adding like-terms}}{16\sqrt{6}}[/tex]
The simplest radical form of the equation [tex]2\sqrt{54} + 5\sqrt{24}[/tex] is [tex]16 \sqrt{6}[/tex].
We have to determine, the simplest radical form [tex]2\sqrt{54} + 5\sqrt{24}[/tex].
To convert the given equation into radical form following all the steps given below.
Equation; [tex]2\sqrt{54} + 5\sqrt{24}[/tex].
Step1; Converting 254 or 524 into small factors.[tex]= 2\sqrt{54} + 5\sqrt{24}\\\\=2 \sqrt{2 \times 3 \times 3 \times 3} + 5\sqrt{2 \times 2 \times 2\times 3}[/tex]
Step2; There are squares of 2 and 3 so the making square and remove from the square root.
[tex]=2 \sqrt{2 \times 3 \times 3 \times 3} + 5\sqrt{2 \times 2 \times 2\times 3}\\\\= 2 \sqrt{2 \times 3 \times 3^2} + \sqrt{2^2\times 2 \times 3} \\\\[/tex]
Step3; Now multiply the terms and solve the equation.[tex]= 2\times 3\ \sqrt{2 \times 3 } + 5 \times 2 \sqrt{2 \times 3}\\\\= 6 \sqrt{6} \ + 10 \ \sqrt{6}\\\\= 16\sqrt{6}[/tex]
Hence, The required simplest radical form of the equation [tex]2\sqrt{54} + 5\sqrt{24}[/tex] is [tex]16 \sqrt{6}[/tex]
To know more about the Radical form click the link given below.
https://brainly.com/question/12186700
Write and solve an equation.
9. In one baseball season, Peter hit twice the difference of home runs Alice hit and 6. Altogether, they hit 18 home runs. How many home runs did each player hit that season?
10. The perimeter of a pallalelogram is 72 meters. The width of the pallalelogram is 4 meters less than its lengh. Find the length and the width of the pallalelogram.
Final answer:
Alice hit 10 home runs and Peter hit 8 home runs that season. The width of the parallelogram is 16 meters and the length is 20 meters.
Explanation:
To solve this problem, we need to set up an equation. Let's say that Alice hit x home runs. Then, Peter hit twice the difference of home runs Alice hit and 6, or 2(x - 6). Together, they hit 18 home runs. Setting up the equation, we have x + 2(x - 6) = 18. Solving for x, we get 3x - 12 = 18, 3x = 30, and x = 10. So, Alice hit 10 home runs and Peter hit 2(10 - 6) = 8 home runs that season.
To find the length and width of a parallelogram, we need to use the information given in the problem. Let's say the width of the parallelogram is W. The length of the parallelogram is then 4 meters more than the width, or W + 4. The perimeter of a parallelogram is given by the formula 2(length + width), so we have 2(W + W + 4) = 72. Simplifying the equation, we get 4W + 8 = 72. Subtracting 8 from both sides, we get 4W = 64. Finally, dividing both sides by 4, we find that the width of the parallelogram is 16 meters and the length is 16 + 4 = 20 meters.
Determine the standard form of the equation of the line that passes through (6,0) and (2,-7).
The equation of the line that passes through the points (6,0) and (2,-7) is '7x - 4y = 42' when transformed into the standard form.
Explanation:In mathematics, especially in linear algebra, the standard form of the line is a way of describing a specific line on the plane. We can get this by using two points through which the line passes. In this case, we have the points (6,0) and (2,-7).
First, we calculate the slope using the formula (y2 - y1) / (x2 - x1). Substituting our values, we have (-7 - 0) / (2 - 6) = -7 / -4 = 7/4. So, the slope is 7/4.
Next, we find the y-intercept (b) by substituting one of the points into the equation y = mx + b. Using the point (6,0), we get 0 = 7/4 * 6 + b. Solving for b, we find that b = -21/2.
The equation is then y = 7/4x - 21/2. To convert this to the standard form, we multiply all parts by 4 to remove the fraction. The equation then becomes 4y = 7x - 42. After arranging, we obtain our final equation: 7x - 4y = 42.
Learn more about Standard Form of a Line here:https://brainly.com/question/32638435
#SPJ2
Find the product. (P+5)(p-2)
Answer:
p^2 + 3p - 10
Step-by-step explanation:
Use the so-called "foil" method of multiplication of binomials:
p^2 -2p + 5p - 10, or p^2 + 3p - 10
Given:-
... ( p+5 )( p-2 )
When we have an equation like,
( a + b ) ( a - c )
... a² + ba - bc - ac
We have,
( p+5 )( p-2 )
... p² - 2p + 5p - 10
... p² + 3p - 10 Is the answer.
Hope it helps!
PLZ HELP ASAP
What is the equation, in point-slope form, for a line that goes through (8, −4) and has a slope of −56?
y+4=−56(x+8)
y−4=−56(x+8)
y+4=−56(x−8)
y−4=−56(x−8)
y + 4 = - 56(x - 8)
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = - 56 and (a, b) = (8, - 4)
y + 4 = - 56( x - 8 ) ← in point-slope form
7.) Walter and Brian each have a CD collection.
Walter has x amount of CDs whereas Brian has 3 times the
number in Walter’s collection. The total number of CDs in both
collections is 144.
What is x, the number of CDs in Walter’s collection?
Owen used these steps to solve the equation 4x+7=1+2(2x+3)
4
x
+
7
=
1
+
2
(
2
x
+
3
)
. Which choice describes the meaning of his result, 7=7
7
=
7
?
SOMEBODY HELP ME PLEASE?! If planet 1 is 31.3 million miles farther from the sun then planet 2 then planet 3 is 23.2 million miles farther from the sun then planet 1. When the totals of the distances for these three planets from the sun is 193.8 million miles, how far away from the sun is planet 2?
All you have to do is add 31300000+23200000 which equals 54500000. Next subtract 54500000 from 193800000 which equals 139300000. So plant 2 is 139.3 million miles away from the sun
Let Planet 2 = X
Planet 1 = X + 31.3
Planet 3 = x +(31.3+23.2) = x + 54.5
Add the 3 distances together:
x + x +31.3 + x + 54.5 = 193.8
3x + 85.8 = 193.8
Subtract 85.8 from each side:
3x = 108
Divide both sides by 3:
x = 108 / 3
X = 36
Planet 2 = 36 million miles
Planet 1 = 36 + 31.3 = 67.3 million miles
Planet 3 = 36 + 54.5 = 90.5 million miles
36 + 67.3 + 90.5 = 193.8
Find the value of x.
If 98 - 32 = 66,
then x = 66°
A school has 1800 students and 1800 light bulbs, each with a pull cord and all in a row. All the lights start out off. The first student walks down the hall and pulls each cord turning them on. The second student pulls the cord on all the even numbered light bulbs turning those ones off. The third student approaches every third light bulb and changes it's state. If it was on, he turns it off, if it was off, he turns it on. The fourth student does the same to every fourth light bulb and so on through the 1,800 students. After all the 1,800 students pass down the hall, how many light bulbs end up in the on position and which ones are they?
Solution-
A school has 1800 students and 1800 light bulbs, each with a pull cord and all in a row.
As all the lights start out off, in the first pass all bulbs will be turned on.
In the second pass all the multiples of 2 will be off and rest will be turned on.
In the third pass all the multiples of 3 will be off, but the common multiple of 2 and 3 will be on along with the rest. i.e all the multiples of 6 will be turned on along with the rest.
In the fourth pass 4th light bulb will be turned on and so does all the multiples of 4.
But, in the sixth pass the 6th light bulb will be turned off as it was on after the third pass.
This pattern can observed that when a number has odd number of factors then only it can stay on till the last pass.
1 = 1
2 = 1, 2
3 = 1, 3
4 = 1, 2, 4
5 = 1, 5
6 = 1, 2, 3, 6
7 = 1, 7
8 = 1, 2, 4, 8
9 = 1, 3, 9
10 = 1, 2, 5, 10
11 = 1, 11
12 = 1, 2, 3, 4, 6, 12
13 = 1, 13
14 = 1, 2, 7, 14
15 = 1, 3, 5, 15
16 = 1, 2, 4, 8, 16
so on.....
The numbers who have odd number of factors are the perfect squares.
So calculating the number of perfect squares upto 1800 will give the number of light bulbs that will stay on.
As, [tex]\sqrt{1800} =42.42[/tex] , so 42 perfect squared numbers are there which are less than 1800.
∴ 42 light bulbs will end up in the on position. And there position is given in the attached table.
Old holiday light strings with bulbs that act as open switches will go out entirely if one bulb fails, while new versions with bulbs that short circuit will keep the remaining bulbs lit. Each bulb in an old 40-bulb series string on 120 V would be 3 V, while in a new 39-bulb series string it would be approximately 3.08 V per bulb. In a series circuit, a 60 W bulb would be brighter than a 100 W bulb.
When holiday lights wired in series have a bulb that burns out, in the old versions with bulbs that act like an open switch, the entire string of lights will go out. This is because the electrical circuit is broken, and current cannot flow through the circuit anymore. If the string operates on 120 V with 40 identical bulbs, the normal operating voltage of each bulb when all are functioning is 120 V / 40 bulbs = 3 V per bulb.
In contrast, newer versions are designed so that when a bulb burns out, it acts like a closed switch. This means the rest of the bulbs will stay lit because the circuit remains closed, allowing current to continue flowing. If one bulb short circuits and there are 39 remaining bulbs, each bulb will have an operating voltage of 120 V / 39 bulbs ≈ 3.08 V per bulb.
Regarding two household lightbulbs rated 60 W and 100 W connected in series, the one with the higher resistance (which is typically the lower-wattage bulb) will be brighter because it drops more voltage across it compared to the higher-wattage bulb with lower resistance.
Q26. Meena bought a cake and left it on the table in the morning. When she came home in the evening, she saw that of the cake had been eaten. She ate of the remaining cake. Her brother ate of the remaining cake. Find the portion of the remaining cake?
The answer is; 24/75 of the entire cake remained
If 2/5 of the initial cake was eaten, the 3/5 is what remained
MInu ate 1/3 of the 3/5 = 3/15
3/5 – 3/15 = 6/15 remained
Her brother ate; 1/5 of 6/15 = 6/75
6/15 – 6/75 = 24/75 remained
PLEASE HELP!!! This is a trigonometry question on right angle triangle. A bullet is found embedded in the wall of a room 2.9 m above the floor. The bullet entered the wall going upward of 38.2 degrees. How far from the wall was the bullet fired if the gun was held 1.3m above the floor?
I think it is 1.6m but I'm not sure
H(x) = x2 - 4
What is the domain of h
( - ∞, ∞ )
h(x) is a polynomial and is defined for all real values of x thus domain ∈ R
or ( - ∞, ∞ ) ← in interval notation
convert 1 1/3 to decimal
it will be 1.33= 1 1/3
PLEASE HELP IVE BEEN DOING THIS FOR 2 HOURS
I say when she starting to put weight on the trampoline for the first part she making energy you see. Same thing with the second picture she charging up the energy more and more then when she jumps all that energy is being released making her jump up in the air higher so i say the 3rd picture first then 2nd then first because she preparing the energy to jump then she is adding more energy after that she releases it and jumps high
The ratio 2.5 metres to 60 centimetres can be written in the form 1:n find the valur of n
To convert the ratio 2.5 metres to 60 centimeters to the form 1:n we first change metres to centimeters, which gives 250 cm to 60 cm, then divide 250 by 60 to get n = 4.1667.
To find the value of n when the ratio is converted to the form 1:n, we need to express both measures in the same unit. We know that 1 metre is equivalent to 100 centimeters, so we can convert 2.5 metres to centimeters:
2.5 metres times 100 cm/metre = 250 cm
Now, we have the two measures in centimeters: 250 cm to 60 cm. Next, we divide both these numbers to find the ratio in the form 1:n.
250 cm / 60 cm = n
We simplify the ratio by dividing both numbers by 60 cm:
n = 250 cm / 60 cm = 4.1667
Therefore, the ratio of 2.5 metres to 60 centimeters expressed as 1:n is approximately 1:4.1667.
find the ordered pair whose x-coordinate is 5. 4x=6y+8
(6, 2 )
substitute x = 5 into the equation and solve for y
6y + 8 = 20 ( subtract 8 from both sides )
6y = 12 ( divide both sides by 6 )
y = [tex]\frac{12}{6}[/tex] = 2
the ordered pair is (5, 2 )
plug in 5
4(5)=6y+8
20=6y+8
12=6y
2=y
(5,2)
Find the area of segment CFD given the following information: radius = 8in, area of ΔCBD = 25.9in2, and m∠CBD = 54° Round your answer to the nearest hundredths if necessary.
A. 4.26 in2
B. 20.10 in2
C. 3.23 in2
D. 17.90 in2
Answer:
A. 4.26 in^2
Step-by-step explanation:
Step 1: Find the area of the sector DBC. Here we have to use the formula.
Area of a sector = Central Angle/360 *π[tex]r^{2}[/tex]
The area of the sector DBC = (54/360)*3.14*[tex]8^{2}[/tex]
= 30.16
Step 2: Area of segment CFD = Area of the sector DBC - Area of the ΔCBD
= 30.17 - 25.9
Area of segment CFD = 4.27in^2
Answer:
4.24 in ^2
Step-by-step explanation:
extra added: Use 3.14 for the value of π. Round your answer to the nearest hundredths if necessary.
What is (X-3)(3x+4) simplified
Hey there!!
Given equation :
... ( x - 3 ) ( 3x - 4 )
... ( x ) ( 3x ) + ( x ) ( -4 ) + ( -3 ) ( 3x ) + ( -3 ) ( -4 )
... 3x² - 4x - 9x + 12
... 3x² - 13x + 12
Hope my answer helps!!
Find the value of x that will make L||M.
Please help me on this one!!!!!!! I need this done.
The given angles are known as alternate interior angles.
For line L and M to be parallel, the two given angles must be the same.
Set them to equal each other and solve for X.
7x - 7 = 4x +14
Add 7 to each side:
7x = 4x +21
Subtract 4x from each side"
3x = 21
Divide both sides by 3:
X = 21 / 3
X = 7
Answer:
7
Step-by-step explanation:
i need points
This is in integers.
Q: evaluate (+5)-(+9)-(-7)
can be simplified as 5-9+7=-4+7=3
Q: evaluate (+5)-(+9)-(-7
A: if you remember how to add integers correctly, your answer would have been 3
(i added a picture to help you a little bit more)
hope this helps! ❤ from peachimin
Find the x and y intercepts of the linear equation: 4x-3y=12 Please help!
The x- intercept would be (3,0) or 3
The y-intercept would be (0,-4) or -4
What kind of associations do you find if you compare the data set of IQ vs. GPA with the data set of IQ vs. SAT? Are GPAs and SAT scores correlated? Explain.
IQ scores and GPAs are positively correlated with a strong relationship. Similarly, IQ and SAT scores are positively correlated with a strong relationship. Because the variable IQ is in both sets, there is likely to be a relationship between the other two variables, GPAs and SAT scores.
Correlation is a measure which describes if an association or relationship exists between two variables. Since there is a positive relationship between IQ and both GPA and SAT score, then GPA and SAT should correlate.
IQ and SAT score exhibit a strong linear relationship which denotes that students with high IQ score tends to have a high SAT score and vice versa. Similarly, IQ and GPA also exhibit a strong positive relationship, with high IQ score most likely attributed to high GPA scores and vice versa. Since both GPA and SAT score are correlated with IQ score, then GPA and SAT should be correlated.Learn more : https://brainly.com/question/18405415
match the inequality to its graph
-1 > -4
3 > 0
1 > -2
3 > -5
I don't understand the second one sorry.
The inequalities should be matched with the graphs that represent them as follows;
6. 4y + 3 ≤ y + 6 ↔ graph C.
7. -2y > 2 ↔ graph A.
8. y/3 < -1 ↔ graph D.
9. 3y ≤ 2y + 3 ↔ graph B.
Based on the information provided, we would determine the solution set for each of the given inequality by simplifying as follows;
4y + 3 ≤ y + 6
By rearranging and collecting like terms, we have the following;
4y - y ≤ 6 - 3
3y ≤ 3
By dividing both sides of the inequality by 3, we have;
y ≤ 1 (solid dot at point 1 and it decreases to the left).
Part 7.
-2y > 2
By dividing both sides of the inequality by -2, we would flip (reverse) the inequality symbol;
-2y/-2 > 2/-2
y < -1 (hollow dot at point -1 and it decreases to the left).
Part 8.
y/3 < -1
By cross-multiplying, we have;
y < -3 (hollow dot at point -3 and it decreases to the left).
Part 9.
3y ≤ 2y + 3
By rearranging and collecting like terms, we have the following;
3y - 2y ≤ 3
y ≤ 3 (solid dot at point 3 and it decreases to the left).
is x equals negative 1 a solution to the equation -4x + 9 equals 13
yes it is, -4x+9=13, subtract 9 from both sides, -4x=4, divide by negative 4 from both sides, x= -1. Hope I helped!
-4x + 9 = 13
-4x = 4
x = -1
Answer is Yes
x = - 1 is a solution
What is 98/1000 in decimal form?
0.98 0.0 = tenths 0.00 = hundredths 0.000 = thousandths
How many square feet of carpet will be needed to recarpet the hallway?
A.
197 square feet
B.
321 square feet
C.
425 square feet
D.
554 square feet
E.
672 square feet
ANSWER
The correct answer is A
EXPLANATION
We divide the hallway into 2 rectangles as shown in the diagram attached.
The length of the longer is 25 and the with is 5 feet.
The area of this rectangle
[tex]=25\times 5[/tex]
[tex]=75[/tex] square feet
The smaller rectangle has length 6 feet and width 12 feet
The area of the smaller rectangle
[tex]=6\times 12[/tex]
[tex]=72[/tex] square feet
Adding the two areas gives the area of the hallway
[tex]=125+72=197[/tex] square feet
Solve for w. 5w + 9z = 2z + 3w w = z w = z w = –2z w = –7z
5w + 9z = 2z + 3w
Subtract 2Z from each side:
5w + 7z = 3w
Subtract 5w from each side:
7z = -2w
Divide both sides by -2:
w = 7z / -2
We have been given an equation and we are asked to find value of w from our given equation.
[tex]5w+9z=2z+3w[/tex]
First of all we will subtract 3w from both sides of our equation.
[tex]5w-3w+9z=2z+3w-3w[/tex]
[tex]5w-3w+9z=2z[/tex]
Now let us subtract 9z from both sides of our equation.
[tex]5w-3w+9z-9z=2z-9z[/tex]
[tex]5w-3w=2z-9z[/tex]
[tex](5-3)w=(2-9)z[/tex]
[tex]2w=-7z[/tex]
Now let us divide both sides of our equation by 2.
[tex]\frac{2w}{2}= \frac{-7z}{2}[/tex]
Upon cancelling 2 from left side of our equation we will get,
[tex]w=\frac{-7}{2} z[/tex]
Therefore, we can see that [tex]w=\frac{-7z}{2} [/tex].