For this case we have to represent the following expression algebraically:
"10 less than x is -45"
So:
10 less than x is represented as: [tex]x-10[/tex]
Then, the complete expression is represented as:
[tex]x-10 = -45[/tex]
Adding 10 to both sides of the equation:
[tex]x = -45 + 10\\x = -35[/tex]
Thus, the value of the variable is [tex]x = -35[/tex]
Answer:
[tex]x = -35[/tex]
Convert 45°C to Fahrenheit using the formula F = 5 C + 32.
081°F
O 113°F
O 57°F
138.6°F
Question #25MultipleChoice
Answer:113
here you go
Answer:
113
Step-by-step explanation:
Here you go
Suppose that each quarter at a particular community college Jared has to pay $785 in tuition and $23 in fees. If Jared has 2 quarters remaining find the total amount he will need for tuition and fees
Answer:
he will need exactly $808.75
Jared's total expense for the remaining 2 quarters would amount to $1616, which is the sum of tuition ($785) and fees ($23) per quarter, multiplied by the total remaining quarters (2).
Explanation:To determine the amount Jared will need for tuition and fees, we first have to calculate the total cost for each quarter. For every quarter, the total cost comprises of $785 in tuition and $23 in fees. Consequently, the overall cost per quarter will be 785 (for tuition) + 23 (fees), which amounts to $808.
Given that Jared still has 2 quarters remaining, the net amount he would require will be the product of the amount needed per quarter and the number of remaining quarters i.e., 808 * 2, therefore equally to $1616.
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Find the vertex of the function given below.
y = 3x2 + 6x +1
Answer: The coordinates of the vertex are : (-1,-2)
Step-by-step explanation: To find the x coordinate, we use the formula:
Xv = -b/2a = -6/(2.3) = -6/6 = -1
Replacing x by -1, we write:
y = 3. (-1)^2 + 6. (-1) +1 = 3 - 6 + 1 = -2
The vertex of the function will be (-1, -2)
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The function is,
⇒ y = 3x² + 6x + 1
Now,
Since, The function is,
⇒ y = 3x² + 6x + 1
By comparing with the standard form of a quadratic equation ax²+bx+ c , we get;
⇒ a = 3, b = 6 c = 1
Since, The x- coordinate of the vertex is,
⇒ x = - b/2a
Substitute all the values, we get;
⇒ x = - 6/2×3
⇒ x = - 6/6
⇒ x = - 1
And, Put x =- 1 in the function, we get;
⇒ y = 3x² + 6x + 1
⇒ y = 3(-1)² + 6(-1) + 1
⇒ y = 3 - 6 + 1
⇒ y = - 2
Thus, The value of vertex = (- 1, - 2)
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Solve the equation c2 = 4.
Answer:
C = 2
Step-by-step explanation:
[tex]2*2=4[/tex]
The required solution for the given equation c² = 4 is c = 2.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given equation is,
c² = 4
Since factor 4 = 2 x 2
Therefore, 4 = 2 x 2 = 2²
So the given equation becomes,
c² = 2²
Taking square root both the side we get,
√c² = √2²
Therefore,
c = 2
which is the required solution of the given equation.
Thus, The required solution for the given equation c² = 4 is c = 2.
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HELP will mark brainilest
The original price of a sound system is $1250. For one day only, the store is offering a frequent shopper discount of 35% on all merchandise. Which expressions can be used to find the discounted price of the sound system? Check all that apply.
0.35($1250)
$1250 + 0.35($1250)
0.65($1250)
$1250 – 0.35($1250)
Answer:
The answer to your question is $1250 - 0.35($1250)
Step-by-step explanation:
'Find the highest common factor of 32, 48 and 72. show your working'
please please help asap <3
Answer:
HCF(32,48,72) = 8
Step-by-step explanation:
We have ,
32 = 2×2×2×2×2 =
48 = 2×2×2×2×3 = 2⁴×3¹
72 = 2×2×2×3×3 = 2³×3²
Now,
HCF(32,48,72) = 2³ = 8
/* Product of the smallest power of each common prime factors of the numbers */
What is the surface area of a sphere with a diameter of 8 mm?
Use 3.14 for π .
Answer:
Step-by-step explanation:
804.25mm
If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?
Final answer:
To find the expression representing segment PS, we add the expressions for segments PR (4x - 2) and RS (3x - 5) to get PS as 7x - 7.
Explanation:
The question asks us to determine the expression that represents the segment PS given the expressions for segments PR and RS. PR is given as 4x - 2 and RS is given as 3x - 5. To find the length of PS, we add PR and RS because PS is the sum of PR and RS when they form a continuous line segment. Therefore, PS is (4x - 2) + (3x - 5). Simplifying this expression, we get PS as 7x - 7.
I need help solving this equation does anybody know what x is? 5+x+(-2)=-8
Answer: x=5
Step-by-step explanation:
5+x+(−2)=−8
Simplify
5 + x - 2 = -8
x + 3 = -8
Subtract 3 to both sides
x + 3 - 3 = -8 +3
Simplify
x = -5
Answer:
x=-11
Step-by-step explanation:
5+x+(-2)=-8
x+(-2)=-13
x=-11
2a - 14 - 7b + 10
Select ALL coefficients from the expression above. I NEED AN ANWSER ASAP
its called be a smart kid and actually paying attention u downs syndrome idiot
How do I write 1,948,447 In expanded notation
Answer:
Step-by-step explanation:1,000,000+900,000+40,000+8,000+400+40+7
If A= (-1,-3) and B = (11,-8), what is the length of Ad?
Answer:
AB = 13Step-by-step explanation:
The formula of a distance between two points
[tex]A(x_1,\ y_1),\ B(x_2,\ y_2)\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have the points A(-1, -3) and B(11, -8).
Substitute:
[tex]AB=\sqrt{(-8-(-3))^2+(11-(-1))^2}=\sqrt{(-8+3)^2+(11+1)^2}\\\\=\sqrt{(-5)^2+12^2}=\sqrt{25+144}=\sqrt{169}=13\\\\\sqrt{169}=13\ \text{because}\ 13^2=169[/tex]
which whole number is closest to the value of square root of 54?
[tex] \sqrt{54} [/tex]
1. 6
2. 7
3. 8
4. 9
What is the image point of (9,8) after a translation right 4 units and up 2 units?
Answer:
(13,10)
Step-by-step explanation:
On the graph, all the points going right starting from 0, would be positive, and all points going up starting from 0 would be positive.
You should also know that going right would mean the x (which is 9 here) would get bigger; and the y (which is 4) going up would get bigger too.
So if you move (9,8) right 4 times 9 + 4 = 13, so now you have (13,8).
Then, you move (13,8) up 2 units, so 8+2 more units = 10, so then your final answer would be (13,10).
Hope this helped, sorry if its confusing I wasn't born to teach lol
The image point of (9, 8) is (13, 10), after the translation.
What is the required image point ?
In graphs, we know that the horizontal line is the x-axis, more we go right in that line, more positive values of x we get & in similar manner, more we go left, we get more negative values of x.
So, if we translate (9, 8), 4 units in the right, then we get larger value of x, i.e. 9+4=13 and the point becomes (13,8)
Also, the vertical line on a graph defined the y-axis, more we go up in that line, more we get positive values of y and more we go down that line, more we get negative values of y.
So, if we up the value of y 2 units, then the co-ordinate of y is 8+2 = 10
And the point becomes (13,10)
So, the required image point is (13,10)
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You need 35 black tiles and 28 white tiles to tile a patio. How many
tiles will you need in all? Use the Distributive Property to help you
find the sum.
In a simple addition problem like this, just directly add the number of black tiles (35) and white tiles (28). So, 35 + 28 equals 63. You will need 63 tiles in all to tile the patio.
The question asks you to find the total number of black and white tiles needed to tile a patio, using the Distributive Property to do the math.
However, the Distributive Property is used for multiplying a number by a group of numbers added together, not for a simple addition problem like this. For this question, you directly add the number of black tiles (35) and white tiles (28).
So, 35 (number of black tiles) + 28 (number of white tiles) equals 63. Therefore, you will need 63 tiles in all to tile the patio.
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Please answer this asap for 15 pt
Answer:
Step-by-step explanation:
what is question that you whant my to answer
What is the range of the function in this table?
|
|
24
3 | 3
4 | 2
recall that in a function, the output or f(x) or namely the dependent variable set is the range.
[tex]\bf \begin{array}{ccll} \stackrel{domain}{x}&\stackrel{range}{y}\\ \cline{1-2} 2&4\\ 3&3\\ 4&2 \end{array}\qquad \qquad \stackrel{\mathbb{RANGE}}{\{4,3,2\}}[/tex]
Grade 6,7, and 8 at a middle school each have 180 students. The student council is throwing a school dance and they want to know what Theme to have for the dance. Since the student council cannot ask everyone they will Survey a group of students. Which sample can best help the council to draw conclusions about the preferences of all the students in the school.
A. 6 students from each grade
B. 25 students from each grade
C. 6 students from the entire school
D. 25 students from the entire school
f (x) = (x + 1)(x - 3)(x-4)
Factored form number of roots
There are 3 factors.
One root per factor.
Set each factor to 0 and solve for x individually.
complement of angle Y. Y=(8x-20°)
Answer:
Step-by-step explanation:
Complement = 90 - Angle
Complement = 90 - y
Complement = 90 - (8x - 20)
Complement = 90 - 8x + 20
Complement = -8x + 110
The complement of an angle Y denoted as (8x-20°), is found by subtracting the angle from 90°. After distribution and addition, the final formula for the complement of angle Y is 110° - 8x.
Explanation:The complement of an angle is defined as the difference between 90 degrees and the angle. In this case, we need to find the complement of angle Y, represented as (8x-20°).
To find the complement, we subtract the angle from 90°. So, the complement of angle Y is given by the formula 90° - (8x - 20°).
When you distribute the negative sign into the parentheses, the formula becomes 90° - 8x + 20°. Adding 90° and 20° gives us 110°, making the final formula for the complement of angle Y as 110° - 8x.
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what is the answer to 1/8÷1/4
1/8÷1/4
Flip over the second fraction
1/4=4/1
1/8 *4/1
Cross out 8 and 4 ,divide by 4
8/4=2
4/4=1
1/2 *1/1=1/2
Answer: 1/2
Answer:
1/2
Step-by-step explanation:
1/8 divided by 1/4 becomes
1/8 multiplied by 4/1
(When we divide fractions the second fraction flips and we multiply instead of division)
So the answer is 1/2
Pleassseee help, and show steps
Answer:
(p +5)² = 26
Step-by-step explanation:
p²+10p = 1
try to arrange them like a²+2ab+b² ;
here,
a² = p² → ∴a=p
and,
2ab = 10p
⇒2ab = 10a [∵a=p]
∴ b=5 [dividing both sides by 2a]
∴b²=5²
hence,
⇒ p² + 2 .p.5 + 5² = 1+5² [add 5² on both sides ]
⇒ (p +5)² =1+25
∴ (p +5)² = 26
The PSU charges $2 for a package weighing up to 3 lbs, plus an additional fee of $0.15 per lb over 3lbs . what is the most a package can weigh that you plan to mail if you have 3 dollars ? (the nearest whole lb)
Find the difference. –12 – (–21) = _____ –33 –9 33 9
Answer:
9Step-by-step explanation:
(-)(-) = (+)
(-)(+) = (-)
(+)(-) = (-)
(+)(+) = (+)
-(-21) = (-)(-21) = (+)21 = 21
-12 - (-21) = -12 + 21 use commutative property: a + b = b + a
= 21 + (-12) = 21 - 12 = 9
Match the property of equality with the example that models the property.
multiplication property of equality
55/11 = 11x/11
addition property of equality
3x - 4 + 4 = 12 + 4
subtraction property of equality
(4x)(1/4) = (3)(1/4)
division property of equality
(1/2) + 5x -(1/2)=8-(1/2)
Answer:
Each property is about an operation. Specifically, each property indicates that an equality is like a balance, if we operate one side, we must also operate the other side with the same operation and number.
So, the example that shows a division, that is representing the division property, and so on.
Division property of equality: this property states that if we divide one side of the equation, we must divide the other side by the same number.
[tex]\frac{55}{11}=\frac{11x}{11}[/tex]
Multiplication property of equality: this property states that if we multiply one side of the equation, we must multiply the other side by the same number
[tex](4x)(\frac{1}{4} )=(3)(\frac{1}{4} )[/tex]
Adition property of equality.
[tex]3x-4+4=12+4[/tex]
Subtraction property of equality.
[tex]\frac{1}{2}+5x-\frac{1}{2}=8-\frac{1}{2}[/tex]
The corret match is as follows:
Multiplication property of equality: (4x)(1/4) = (3)(1/4)
Addition property of equality : 3x - 4 + 4 = 12 + 4
Subtraction property of equality: (1/2) + 5x -(1/2)=8-(1/2)
Division property of equality: 55/11 = 11x/11.
For multiplication property of equality:
Consider an equation:
4x = 3
Multiply by (1/4) on both sides by this property we get,
(4x)(1/4) = (3)(1/4)
For addition property of equality:
Consider an equation:
3x - 4 = 12
Add 4 both sides we get,
3x - 4 + 4 = 12 + 4
For subtraction property of equality:
Consider an equation:
(1/2) + 5x=8
Subtract both sides by (1/2)
(1/2) + 5x -(1/2)=8-(1/2)
For division property of equality:
Consider an equation:
55= 11x
Divide both sides by 11 we get,
55/11 = 11x/11.
Hence,
The corret match is:
Multiplication property of equality: (4x)(1/4) = (3)(1/4)
Addition property of equality : 3x - 4 + 4 = 12 + 4
Subtraction property of equality: (1/2) + 5x -(1/2)=8-(1/2)
Division property of equality: 55/11 = 11x/11.
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What is the least common multiple (LCM) of 10 and 12?
Answer:
60
Step-by-step explanation:
Some people think this concept is confusing. Let's break it down. First, let's ask, what is a multiple?
We get a multiple of a number when we multiply it by another number other than zero. For example:
Multiples of 10: [tex]10, 20, 30, 40, 50, 60, 70, 80, 90, 100...[/tex]
Multiples of 12: [tex]12,24,36,48,60,72,84,96,108...[/tex]
The Least Common Multiple is the smallest multiple of the two numbers. The smallest multiple we see 10 and 12 have is 60.
Look at these equations.
11 = 5 + a
a + 4 = b + 3
Use both equations to work out the value of b.
Pls Help
Bonjour cheese gateou! je help tes maths!
11=5+a
11-5=a
6=a
a + 4 = b + 3
a - b = - 4 + 3
a-b=-1
Merci beaucoup...
300 students were surveyed. 240 completed the survey. What is the percentage of students surveyed
240 divided by 300 would be 0.8 multiply by 100 giving you 80. 80 percent.
To calculate the percentage of students who completed the survey, divide the number who completed it (240) by the total number surveyed (300) and then multiply by 100, yielding 80%.
Explanation:To find the percentage of students who completed the survey, we use the formula for calculating a percentage: (Number of Students Who Completed the Survey ÷ Total Number of Students Surveyed) × 100. In this case, it's (240 ÷ 300) × 100, which equals 80%. Therefore, 80% of the students surveyed completed the survey. This is a common type of problem in statistics that involves dealing with portions and percentages of a whole.
. In this case, 240 students completed the survey out of 300 students surveyed. So, the percentage of students surveyed is:
Percentage = (240 / 300) * 100 = 80%
What is the slope of the line represented by the equation y = -x-3?
Answer:
(C) 1/3
Step-by-step explanation:
The slope intercept form: y = mx + b.
Note:
m = slope
b = y-intercept
x & y = (x , y) for the points.
You are trying to get the y-intercept of the following function given:
f(x) or y = (-2/9)x + (1/3)
1/3 is your answer, or (C), for 1/3 replaces the b inside the equation.
If you really need the slope, the slope of the following equation is (-2/9), which replaces the m inside the equation.
~
Two stores sell the same computer for the same original price. Store A advertises that the computer is on sale for 25% off the original price. Store B advertises that it is reducing the computer’s price by $180. When Brittany compares the sale prices of the computer in both stores, she concludes that the sale prices are equal. What is the computer’s original price? Write and solve an equation.
Let the price of the computer = X
Store A is selling it for 25% off, so they are selling it for 75% of the original price, so you have 0.75X
Store B is selling it for 180 less the original price, so you have X - 180
Now set both equations to equal and solve for x:
0.75x = X-180
Subtract 1X from each side:
-0.25x = -180
Divide both sides by -0.25:
x = -180 / -0.25
X = 720
The original price is $720
check:
720 x 0.25 = 180
The original price of the computer is $720, calculated by setting the 25% sale price equal to the flat $180 discount and solving the resulting equation.
Brittany wishes to determine the original price of a computer based on the sale prices from two different stores. Store A offers a 25% discount while Store B offers a flat $180 discount. To find the original price when the sale prices are equal, we set up an equation.
Let the original price be represented by x. The sale price at Store A is therefore x - 0.25x or 0.75x. At Store B, the sale price is x - $180.
To find the original price when the sale prices are equal, we set the equations equal to one another:
0.75x = x - $180
We solve the equation by subtracting x from both sides:
0.75x - x = -$180
-0.25x = -$180
Then we divide both sides by -0.25 to solve for x:
x = -$180 / -0.25
x = $720
Therefore, the original price of the computer is $720.