The longer piece of wood has dimensions of 2 inches by 2 inches by 7 inches. The shorter piece of wood has dimensions of 4 inches by 2 inches by 2 inches. How many square inches of purple paint will Lisa use to paint her letter L?
Answer:
TA of longer piece = 2(lw) + 2(hw) + 2(lh) 2*1*1 +2*6*1 + 2*1*6 = 2 + 12 + 12 = 26 TA of shorter piece = 2(lw) + 2(hw) + 2(lh) = 2*1*1 + 2*3*1 + 2*1*3 = 14 Add the two surface areas together. 26 + 14 = 40 Subtract the area where the two pieces of wood are attached. Because that section will not be painted on either piece of wood, two times that area must be subtracted. 40 - (2*1*1) = how many square inches of purple?
Step-by-step explanation:
Subtract. (29v)−(−13v+59)
Answer: 42v-59
Step-by-step explanation:
Combine like terms
29v- -13v= 42v
The negative sign turns 59 into -59
The value of the equation is A = 42v - 59
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = ( 29v ) - ( -13v + 59 ) be equation (1)
On simplifying the equation , we get
A = 29v - ( -13v ) - 59
On further simplification , we get
A = 29v + 13v - 59
The value of A = 42v - 59
Therefore , the value of A is 42v - 59
Hence , the equation is A = 42v - 59
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Use interval notation to express the set of real numbers $x$ that satisfies the inequality $-2 \leq x < 5$.
Answer:
[-2, 5)
Step-by-Step Explanation:
The solution set of the given inequality {x ;-2 ≤ x < 5} will be; [-2, 5).
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Given that the inequality y = {x ; -2 ≤ x < 5}
WE are asked to find the solution set for the given inequality;
⇒ y={x ; -2 ≤ x < 5} i.e domain= [-2, 5)
⇒y=x ∀ x ∈ [-2, 5)
The solution of the given inequality;
x ∈ [-2, 5)
Therefore, The solution set of the given inequality {x ;-2 ≤ x < 5} will be; [-2, 5).
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Simplify the expression using the properties of operations.
The simplified form of the expression (5.23x + 3.76) − (3.67x − 6.39) is
Answer:
Step-by-step explanation:
5.23x+3.76-3.67x+6.39
x(5.23-3.67) +(3.76+6.39)
1.56x + 10.15
Answer:
1.56x + 10.15
Step-by-step explanation:
(5.23x + 3.76) – (3.67x – 6.39)
(a + b) – (c – d) = a + b – c + d
Remove the parentheses and change the signs as needed:
5.23x + 3.76 – 3.67x + 6.39.
Group the like terms and simplify:
5.23x – 3.67x + 3.76 + 6.39
1.56x +10.15.
HELP ME HELP HELP Josiah has a mask collection. He keeps 117 of the masks on his wall, which is 65% of
his entire collection. What is the total number of masks in Josiah's collection?
Answer:
x=180
Step-by-step explanation:
Let us have x represent the entire mask collection
We know that 117 is 65% of his collection. We want to know the total number of masks he has
The equation we set up is:
117 is 65% of x: this translates to
117=0.65x, then we solve for x by dividing 0.65 by both sides
180=x
The total number of masks Josiah has is 180.
Solve for n: n/3 > 66 2/3
Answer: The 2 answers are inequality form and interval notation: n>200, and (200, ∞).
Step-by-step explanation: To solve for n, you’ll need to simplify the both sides of the inequality, and then isolating the variable.
Would you please help me on this question?
Answer:
x = 2
Step-by-step explanation:
Given that the measure of segment BC must equal the addition of the measure of segment BA plus the measure of segment AC, we can write this in equation form:
BC = BA + AC
then we replace them with the measure information they provide:
12 x + 4 = 7 x - 4 + 8 x + 2
and we solve for x in the equation:
12 x + 4 = 15 x - 2
subtract 12 x from both sides:
4 = 15 x - 12 x - 2
4 = 3 x - 2
add 2 on both sides
4 + 2 = 3 x
6 = 3 x
x = 6/3
x = 2
Find the value of r.
Answer:
r=0
Step-by-step explanation:
the line passes through the origin which means there is no y-intercept
Understand the question explain and u will be brainiest
solve write a linear equation in slope-intercept form for the graph shown the y-intercept of the line is 2 the slope is
Answer:
this is the answer.
Step-by-step explanation:
Find the Equation of a Line Given That You Know Its Slope and Y-Intercept. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
Write an equation of a line perpendicular to line CD in slope-intercept form that passes through the point (−1, 6).
Line CD is shown. C is at 1, 1. D is at 3, 5.
y = −0.5x − 5.5
y = −0.5x + 5.5
y = 2x + 13
y = 2x − 13
Answer:
its b
Step-by-step explanation:
i took the test
y = - 0.5x + 5.5 is the equation of a line perpendicular to line CD in slope-intercept form that passes through the point (−1, 6).
What is the slope-intercept form of a straight line?The slope-intercept form of a straight line is y = mx + c.
Here, x and y are coordinates, m is the slope and c is the y-intercept of the line.
Given, two points are C(1, 1) and (3, 5).
Therefore, equation of the line CD is:
[tex]\frac{x - x_{1} }{y-y_{1} }[/tex] = [tex]\frac{x_{1}-x_{2}}{y_{1}-y_{2}}[/tex]
⇒ [tex]\frac{x - 1}{y-1}[/tex] = [tex]\frac{1-3}{1-5}}[/tex]
⇒ [tex]\frac{x - 1}{y-1}[/tex] = [tex]\frac{-2}{-4}}[/tex]
⇒2(x - 1) = (y - 1)
⇒ y = 2x - 1
Let, line AB is perpendicular to the line CD and passes through the point (-1, 6).
Therefore, slope of the line CD is = 2.
We know, slope of CD × slope of AB = -1
Therefore, slope of AB = -1 / slope of CD = [tex]-\frac{1}{2}[/tex].
Now, line AB has a slope of [tex]-\frac{1}{2}[/tex] and passes through the point (-1, 6).
Therefore, equation of the line AB is:
(y - y₁) = m(x - x₁)
⇒ [y - (6)] = [tex]-\frac{1}{2}[/tex][x - (- 1)]
⇒ 2(y - 6) = (-x - 1)
⇒ 2y - 12 + x + 1 = 0
⇒ x + 2y = 11
⇒ y = - 0.5x + 5.5
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What is the first step in solving for z in the equation
5z−4=26?
Answer:
Step-by-step explanation:
This is the completed answer.
5z - 4 = 26
5z−4+4=26+4
5z=30
Divide both sides by 5.
5z/5 = 30/5
z=6
How many more miles is 27.2 than 6.8
Answer:
20.4 miles
Step-by-step explanation:
Answer: 20.4
Step-by-step explanation: How many more miles is 27.2 than 6.8
usually these kind of equations mean to subtract, in other terms find the underlined key words
27.2-6.8= 20.4
The length of a rectangle is four times its width.
If the perimeter of the rectangle is 90 yd, find its length and width.
Answer:
Length of rectangle = 36 yd and width of rectangle = 9 yd
Step-by-step explanation:
Let width of rectangle = w
Length of rectangle = 4w (four times the width)
Perimeter of rectangle = 90 yd
We need to find length and width of rectangle.
The formula used will be: [tex]Perimeter \ of \ rectangle=2(l+w)[/tex]
Where l is length and w is width
Putting values and finding length and width of rectangle
[tex]Perimeter \ of \ rectangle=2(l+w)\\90=2(4w+w)\\90=2(5w)\\90=10w\\w=\frac{90}{10}\\w=9[/tex]
So,width (w) of rectangle is w= 9 yd
Finding length of rectangle = 4w = 4*9 = 36 yd
So, length of rectangle = 36 yd and width of rectangle = 9 yd
12 divide 4 x 7 - 18 =
Answer:
20
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Determine if the following argument always applies, sometimes applies, or never applies. Provide at least 2 examples in your explanation.
"The sum of a number and its opposite is always 1."
Answer:
Never applies
Step-by-step explanation:
Given
Argument: The sum of a number and its opposite is always 1
Assume a positive number x
The opposite of the number is negative x (i.e. -x)
The sum of both numbers is:
[tex]Sum = x + (-x)[/tex]
Open Bracket
[tex]Sum = x -x[/tex]
[tex]Sum = 0[/tex]
Now, take for instance.
[tex]Number = 5[/tex]
Opposite would be
[tex]Opposite = -5[/tex]
Their sum is:
[tex]Sum = 5 + (-5)[/tex]
[tex]Sum = 5 -5[/tex]
[tex]Sum = 0[/tex]
Another instance is:
[tex]Number = -8[/tex]
Opposite would be
[tex]Opposite = 8[/tex]
Their sum is;
[tex]Sum = -8 + 8[/tex]
[tex]Sum = -0[/tex]
Hence, the argument never applies because the sum is never 1
Find an equation of the hyperbola having foci at (-9,-4) and (7,-4) and vertices at (-6, -4) and (4.-4).
Answer:
-9,-4
Step-by-step explanation:
Given f(x)=2x+5 find f(3)
answer choices are:
1. ) 28
2.) -28
3.) 11
4.) 6x+5
5.) 5
Answer:
3.) 11
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
f(x) = 2x + 5
f(3) is x = 3
Step 2: Solve
Substitute: f(3) = 2(3) + 5Multiply: f(3) = 6 + 5Add: f(3) = 11HELP FOR 40 POINTS PLEASE AND BRAINLIST
Yen paid $10.50 for 2.5 pounds of pretzels. What price did she pay for each pound of pretzels?
After dividing 25 into 105, the next step is to
25 by 4.
The next step is to
100 from 105.
The next step is to
the next number.
Answer:
the price of each pound of pretzels is 4.20
Step-by-step explanation
1 pound · [tex]\frac{10.50}{2.5 pound} = 4.20$\\[/tex]
Answer:After dividing 25 into 105, the next step is to
25 by 4.
The next step is to
100 from 105.
The next step is to
the next number.
Step-by-step explanation:
What is the equation for the line in slope-intercept form?
Answer:
y=mx+b is slope-intercept form
where m is the slope and b is the y intercept.
Since the line crosses the y axis at 0,0 the intercept is +0 or just nothing.
now all we need to do is find the slope
to do that just go from the y intercept (the first point) y units up and x units over untill u cross at the next point. for examples from (0, 0) to (1, 8)-the next point- i need to go up 8 units up and 1 unit over. this is described as rise over run and that is your slope 8/1 rise/run. rise is how many units i go up (or down) from the y intercept until the next point that lies on the line and run is how far i need to go over from how many units i just went up. If u continue to go 8 up and 1 over from each point u will see that u get a point lying of the line. This is why 8/1 is your slope
8/1 is the slope and 0,0 is your y intercept so we put nothing
the equation is y=8x
Step-by-step explanation:
Answer:
y=8x
Step-by-step explanation:
Pick two points (0,0) (2,16)
Then 16-0/2-0= 8
8 is the slope
The y intercept is 0 so
y=8x
PLEASE HELP ME
Describe the graph of the function
[tex]f{x} = x {}^{3} - 18 {}^{2} + 107x - 210[/tex]
Include the y-intercept, x-intercepts, and the shape of the graph.
Answer:
x-intercept= (4.265,0)
y-intercept= (0,-534)
Step-by-step explanation:
An angle measures 79.4 degrees more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
The angles are: 50.3 and 129.7
Step-by-step explanation:
The sum of supplementary angles is 180°.
Let x be one angle then the other angle will be x+79.4
Using the supplementary angle sum
[tex]x+x+79.4 = 180\\2x+79.4 = 180\\2x = 180-79.4\\2x = 100.6\\\frac{2x}{2} = \frac{100.6}{2}\\x = 50.3[/tex]
For the measurement of 2nd angle
x+79.4 => 50.3+79.4 => 129.7
Hence,
The angles are: 50.3 and 129.7
When playing the lottery game Cash4Life, you must choose a cash ball number from 1 through 4. What is the probability that the randomly drawn cash ball is at least 2?
A. 0.50
B. 0.75
C. 0
D. 0.25
Answer:
[tex]P(At\ least\ 2) = 0.75[/tex]
Step-by-step explanation:
Given
Balls = 1 to 4
Required
Determine the probability of selecting ball numbered at least 2
Here, we'll assume that all numbers have the same probability.
The probability of each ball will be:
[tex]Probability = \frac{1}{4}[/tex]
So:
[tex]P(At\ least\ 2) = P(2) + P(3) + P(4)[/tex]
Recall that
[tex]Probability = \frac{1}{4}[/tex] --- for each ball
So, the equation becomes
[tex]P(At\ least\ 2) = \frac{1}{4} + \frac{1}{4} + \frac{1}{4}[/tex]
[tex]P(At\ least\ 2) = \frac{3}{4}[/tex]
[tex]P(At\ least\ 2) = 0.75[/tex]
What is the x-intercept of
3x – 4y = 242
Answer:
x=242/3
alternative form= 80 2/3, x=80.6
Step-by-step explanation:
3x-4y=242
substitute y = 0
3x-4x0=242
calculate the product
3x-0=242
remove 0
3x=242
divide both sides (by 3 in order to leave x by itself)
done
aye i have a code karen someone help please
go to this question on my page and then go to the first answer and there's a Karen in the comments
"1. what do you do to check weather a number is rational or irrational? in your explanation, use an example of irrational and a rational number. 2. how does finding the square root of a number compare to finding the cube root of a number? use the number 64 in your explanation. REALLY HIGH BRAINIRLY"
Answer:
1. If you're taking square roots, the number must be a perfect square to give a rational root.
64 = 8^2, so √64 = 8 is rational
Similarly, since
64 = 4^3, ∛64 = 4 is rational.
For small numbers, it's easy to check for possible roots, as there aren't that many candidates. In general, it's much more difficult.
2.
Step-by-step explanation:
Solve the equation 3(x + 4.5) = 36.
If you get stuck, use the diagram. first one and with an explanation will get brainllest
Answer:
.75
Step-by-step explanation:
there is prof
Please help me please and fast
Answer:
b
Step-by-step explanation:
sorry if wrong
Hint : Add togheter and =180
Answer:
100 + 80
Step-by-step explanation:
Which statement is correct when solving the expression 5y2 – 3y2?
Question 19 options:
Add the exponents (2 + 2).
Subtract the exponents (2 – 2).
Subtract the coefficients (5 – 3).
Add the coefficients (5 + 3).
Answer:
The answer is C
subtract the coefficients
What is the perimeter of this square?
aaaaaaaaaaaaaa
11 in
Answer:
44 in
Step-by-step explanation:
Perimeter is adding up all the sides together and since we know it is a square that means each side is equal
11 in + 11 in + 11 in + 11 in = 44 in