Dylan earns $17.50 per hour for 4 hours, yielding a total income of $70. After deducting 15% of his total earnings ($10.50) for income taxes, Dylan's earnings reduce to $59.50.
Explanation:To answer this question, we first need to calculate Dylan's total earnings before taxes. He earned $17.50 per hour for 4 hours, so his total earnings would be 4 hours * $17.50/hour = $70.
Next, we determine the amount of income tax. Dylan's income tax rate is 15%, so he would pay 15% of his total earnings in taxes: 15/100 * $70 = $10.50 in taxes.
Finally, we calculate Dylan's net earnings after tax by subtracting the tax amount from his total earnings: $70 - $10.50 = $59.50. Therefore, Dylan will earn $59.50 after taxes for 4 hours of work.
Learn more about Income Tax Calculation here:https://brainly.com/question/34135935
#SPJ12
Dylan earns $59.50 after taxes.
Explanation:To calculate the amount Dylan earns after taxes, we need to first find out his total earnings before taxes.
Dylan works for 4 hours and is paid $17.50 per hour, so his total earnings before taxes are 4 hours multiplied by $17.50, which is $70.
Next, we need to calculate the amount of income tax Dylan needs to pay. He must pay 15% of his total earnings as income taxes, which is 15% of $70, which is $10.50.
To find out how much Dylan earns after taxes, we subtract the income tax amount from his total earnings,
so $70 - $10.50 = $59.50.
Therefore, Dylan earns $59.50 after taxes.
Learn more about Calculating Earnings after Taxes here:
https://brainly.com/question/33832255
#SPJ12
PLEASE HELP QUICKLY IM OFFERING 50PTS AND BRAINLIEST ANSWER. PLEASE SHOW YOUR WORK
See the attached pictures for the answers.
At prom, Dina asks a boy to dance. A moment later, her friend decides to ask a boy to dance, too.
Answer:
Dina's friend is jealous of Dina's confidence so she wanted to "what up" her :)
Step-by-step explanation:
HELP
Money loaned for the purpose of earning a share of the profits is called what? A. A personal loan B. Expansion loan C. Money market D. Venture capital
Answer:
C. Money market
Best regards
Final answer:
Venture capital is money loaned for the purpose of earning a share of the profits in startups or small businesses. Venture capitalists provide funds in exchange for equity in the company.
Explanation:
Venture capital is money loaned for the purpose of earning a share of the profits. It is a form of financing for startups or small businesses that have potential for high growth. Venture capitalists provide funds to these companies in exchange for equity, or ownership stake, in the company.
For example, let's say a student wants to start a tech company but doesn't have the funds to do so. They approach a venture capitalist who believes in their idea and is willing to invest money in their company. In return, the venture capitalist will receive a portion of the company's profits.
So, the correct answer is D. Venture capital.
What is the value of tan r?
Round to four decimal places if needed.
Use a trigonometric ratio to compute a distance
Question 1 options:
0.6897
0.7241
0.9524
1.05
➷ tanR = 20/29
tanR = 0.689655
The correct option would be 0.6897
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
The value of tan R using trignonometic values is 0.9524.
What is the value of tan R?Tan is used to determine the value of an angle given the opposite side and the adjacent side. Tan R is the opposite side divided by the adjacent side.
Tan = opposite / adjacent
Tan = 20/21
Tan = 0.9524.
To learn more about trigonometry, please check: brainly.com/question/27001139
Express cos 7pi/3 as a trigonometric functions of an angle in quadrant 1 (picture provided)
Answer:
[tex]Cos (\frac{\pi}{3})[/tex]
Step-by-step explanation:
To get the angle in the first quadrant, we need to subtract 2π from the angle given as many times we need UNTIL we get an angle that is between 0 degree and 90 degree (1st quadrant).
Let's start by subtracting 2π from the angle given:
[tex]\frac{7\pi}{3}-2\pi\\=\frac{7\pi -2\pi(3)}{3}\\=\frac{7\pi - 6\pi}{3}\\=\frac{\pi}{3}[/tex]
This angle is in the 1st quadrant, so we don't need to subtract 2π anymore. Thus we can write:
[tex]Cos(\frac{7\pi}{3})=Cos(\frac{\pi}{3})[/tex]
A probability experiment is conducted in which the sample space of the experiment is S={ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, event F={5, 6, 7, 8, 9}, and event G={9, 10, 11, 12}. Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule.List the outcomes in F or G. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. F or G = { _____ }(Use a comma to separate answers as needed.)B. F or G = { }Find P(F or G) by counting the number of outcomes in F or G. P(F or G) =________(Type an integer or a decimal rounded to three decimal places as needed.)Determine P(F or G) using the general addition rule. Select the correct choice below and fill in any answer boxes within your choice.(Type the terms of your expression in the same order as they appear in the original expression. Round to three decimal places as needed.)A. P(F or G)=_______+_______−________=_______B. P(F or G)=_______+_______=________
Answer:
A) F or G = {5, 6, 7, 8, 9, 10, 11, 12}; B) P(F or G) = 8/12 = 0.667
Step-by-step explanation:
The outcomes in event F are 5, 6, 7, 8 and 9. The outcomes in event G are 9, 10, 11 and 12. This means that the event F or G, containing all elements of both events, will be
{5, 6, 7, 8, 9, 10, 11, 12}. Note that we do not count 9 twice; it only appears in the sample space once. There are 8 elements out of 12 total in the sample space; this means the probability is 8/12 = 0.667.
Using the addition rule, we begin with P(F). There are 5 elements in this event; this makes P(F) = 5/12.
For P(G), there are 4 elements in G; this makes P(G) = 4/12.
To add them, we add P(F) and P(G) but then must take out the element counted twice; this gives us
5/12+4/12-1/12 = 9/12-1/12 = 8/12 = 0.667.
We have that
F&G={5, 6, 7, 8, 9, 10, 11, 12}[tex]P(FG)=0.667[/tex][tex]P(F or G)=5/12+4/12-(1/12)\\\\ P(F or G)=5/12+1/4[/tex]From the question we are told
S={ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, F={5, 6, 7, 8, 9}G={9, 10, 11, 12}
a)
Generally
The P(F or G) by counting the number of outcomes in F or G is
F&G={5, 6, 7, 8, 9, 10, 11, 12}
b)
P(F or G) using the general addition rule
[tex]P(FG)=\frac{N_f}{N_g}\\\\P(FG)=\frac{8}{12}[/tex]
[tex]P(FG)=0.667[/tex]
c)
Generally Using addition Rue to attain P(F or G) we have
For P(F or G)
[tex]P(F or G)=PF+PG-P(F+G)[/tex]
[tex]P(F or G)=5/12+4/12-(1/12)\\\\ P(F or G)=5/12+1/4\\\\ P(F or G)=\frac{8}{12}[/tex]
For more information on this visit
https://brainly.com/question/23366835?referrer=searchResults
Who is correct and why? Kayla is correct; the center is a fixed point in the middle of the sphere. Kayla is correct; the center is a line segment from the center to the surface of the sphere. Raymond is correct; the radius is the fixed point in the middle of the sphere. Raymond is correct; the radius is a chord that is from the center to the surface of the sphere.
Answer:
Kayla is correct; the center is a fixed point in the middle of the sphere.
Answer:
Kayla is correct; the center is a fixed point in the middle of the sphere
Step-by-step explanation:
To understand the solution we need to understand what a sphere is.
What is Sphere?
Sphere is a 3 dimensional solid where every point is equidistant from the center.
what is center and radius?
Center is the point in the middle
radius is the line joining any point on the surface to the center of the sphere
To learn more about sphere visit https://brainly.com/question/1293273
#SPJ2
Help!!!!!!!!!!!!!!!!!! Look at the picture.
Answer:
[tex]f(a^{2})=7(a^{4})-8[/tex]
Step-by-step explanation:
we have
[tex]f(x)=7x^{2}-8[/tex]
we know that
[tex]f(a^{2})[/tex]
Is the value of f(x) for [tex]x=a^{2}[/tex]
so
substitute the value of x in the function
[tex]f(a^{2})=7(a^{2})^{2}-8[/tex]
[tex]f(a^{2})=7(a^{4})-8[/tex]
Choose the function that represents the graph of the transformation of f(x) = |x| that opens down and has a vertex of (3,2)
f(x) = |x - 3| - 2
f(x) = -|x - 3| + 2
f(x) = |x + 3| + 2
f(x) = -|x + 3| + 2
Answer:
f(x) = -|x - 3| + 2.
Step-by-step explanation:
f(x) = |x| is shaped like a V and the vertex is at (0, 0). f(x) = -|x| is a reflection in the x-axis so will be an inverted V , opening down. f(x) = - |x - 3| will be the -|x| moved 3 units to the right with the vertex at (3, 0). To bring the vertex to (3, 2) it will move upwards 2 units.
So it is f(x) = -|x - 3| + 2.
f(x)=-|x-3|+2
Negative before the abs value inverts the graph and it moves right 3 and up 2
What is the surface area of the rectangular prism, if its length is 17 meters?
114 m 2
114 m3
182 m 2
182 m3
see image
Two sides are 3 by 2 = 2 x 3 x 2 = 12 square m.
Two sides are 17 by 2 = 2 x 17 x 2 = 68 square m.
Two sides are 17 by 3 = 2 x 17 x 3 = 102 square m.
Total = 12 + 68 + 102 = 182 m²
Answer:
114m 2
Step-by-step explanation:
Use the x-intercept method to find all real solutions of the equation.
x^3-12x^2+39x-28=0
Answer:
d. [tex]x=1,4,\:or\:7[/tex]
Step-by-step explanation:
The given equation is
[tex]x^3-12x^2+39x-28=0[/tex]
To find all real solutions using the x-intercept method, we to graph the corresponding function using a graphing tool.
The corresponding function is;
[tex]f(x)=x^3-12x^2+39x-28[/tex]
The real solutions to [tex]x^3-12x^2+39x-28=0[/tex], are the x-intercepts of the graph of the corresponding function.
From the graph the x-intercepts are
(1,0),(4,0) and (7,0).
Therefore the real solutions are
[tex]x=1,4,\:or\:7[/tex]
Use green's theorem to compute the area inside the ellipse x252+y2172=1. use the fact that the area can be written as ∬ddxdy=12∫∂d−y dx+x dy . hint: x(t)=5cos(t). the area is 85pi .
b.find a parametrization of the curve x2/3+y2/3=42/3 and use it to compute the area of the interior. hint: x(t)=4cos3(t).
The area of the ellipse [tex]E[/tex] is given by
[tex]\displaystyle\iint_E\mathrm dA=\iint_E\mathrm dx\,\mathrm dy[/tex]
To use Green's theorem, which says
[tex]\displaystyle\int_{\partial E}L\,\mathrm dx+M\,\mathrm dy=\iint_E\left(\frac{\partial M}{\partial x}-\frac{\partial L}{\partial y}\right)\,\mathrm dx\,\mathrm dy[/tex]
([tex]\partial E[/tex] denotes the boundary of [tex]E[/tex]), we want to find [tex]M(x,y)[/tex] and [tex]L(x,y)[/tex] such that
[tex]\dfrac{\partial M}{\partial x}-\dfrac{\partial L}{\partial y}=1[/tex]
and then we would simply compute the line integral. As the hint suggests, we can pick
[tex]\begin{cases}M(x,y)=\dfrac x2\\\\L(x,y)=-\dfrac y2\end{cases}\implies\begin{cases}\dfrac{\partial M}{\partial x}=\dfrac12\\\\\dfrac{\partial L}{\partial y}=-\dfrac12\end{cases}\implies\dfrac{\partial M}{\partial x}-\dfrac{\partial L}{\partial y}=1[/tex]
The line integral is then
[tex]\displaystyle\frac12\int_{\partial E}-y\,\mathrm dx+x\,\mathrm dy[/tex]
We parameterize the boundary by
[tex]\begin{cases}x(t)=5\cos t\\y(t)=17\sin t\end{cases}[/tex]
with [tex]0\le t\le2\pi[/tex]. Then the integral is
[tex]\displaystyle\frac12\int_0^{2\pi}(-17\sin t(-5\sin t)+5\cos t(17\cos t))\,\mathrm dt[/tex]
[tex]=\displaystyle\frac{85}2\int_0^{2\pi}\sin^2t+\cos^2t\,\mathrm dt=\frac{85}2\int_0^{2\pi}\mathrm dt=85\pi[/tex]
###
Notice that [tex]x^{2/3}+y^{2/3}=4^{2/3}[/tex] kind of resembles the equation for a circle with radius 4, [tex]x^2+y^2=4^2[/tex]. We can change coordinates to what you might call "pseudo-polar":
[tex]\begin{cases}x(t)=4\cos^3t\\y(t)=4\sin^3t\end{cases}[/tex]
which gives
[tex]x(t)^{2/3}+y(t)^{2/3}=(4\cos^3t)^{2/3}+(4\sin^3t)^{2/3}=4^{2/3}(\cos^2t+\sin^2t)=4^{2/3}[/tex]
as needed. Then with [tex]0\le t\le2\pi[/tex], we compute the area via Green's theorem using the same setup as before:
[tex]\displaystyle\iint_E\mathrm dx\,\mathrm dy=\frac12\int_0^{2\pi}(-4\sin^3t(12\cos^2t(-\sin t))+4\cos^3t(12\sin^2t\cos t))\,\mathrm dt[/tex]
[tex]=\displaystyle24\int_0^{2\pi}(\sin^4t\cos^2t+\cos^4t\sin^2t)\,\mathrm dt[/tex]
[tex]=\displaystyle24\int_0^{2\pi}\sin^2t\cos^2t\,\mathrm dt[/tex]
[tex]=\displaystyle6\int_0^{2\pi}(1-\cos2t)(1+\cos2t)\,\mathrm dt[/tex]
[tex]=\displaystyle6\int_0^{2\pi}(1-\cos^22t)\,\mathrm dt[/tex]
[tex]=\displaystyle3\int_0^{2\pi}(1-\cos4t)\,\mathrm dt=6\pi[/tex]
The areas of the ellipse and curve interior can be calculated using Green's Theorem and the respective parametrizations, x(t) = 5cos(t) and x(t) = 4cos3(t), followed by integrating.
Explanation:To compute the area inside the ellipse using Green's Theorem, we use the fact that the area can be written as ∬ dxdy = 1/2 ∫ d(−y dx+x dy). Using the hint, x(t) = 5cos(t), we parametrize the ellipse and integrate over the boundary to compute the area.
Similarly, for the parametrization of the curve x2/3 + y2/3 = 42/3, we could use the hint x(t) = 4cos3(t), which is a cube root form representation. After this, compute the area of the interior using the proper integration methods.
Learn more about Area calculation using Green's Theorem here:https://brainly.com/question/33913012
#SPJ11
Caroline's gross annual salary is $47,448 What is the max amount of rent she can afford to pay?
Will give BRAINLIEST. Thank you! Double checking.
47,448/12=$3954
As, 28/36 rule states that maximum of 28% of your monthly expenditure should be spent on housing finances.
0.28*3954=$1107,12
Answer: $1107.
The SSS proof used the rigid transformations illustrated here. Which transformations are used?
Answer:A translation then rotation then reflection
Step-by-step explanation:
In the context of the Side-Side-Side (SSS) theorem in geometry, the rigid transformations referred to are typically translation, rotation, and reflection. By strategically applying these transformations, one can map one triangle onto another, thereby demonstrating their congruence according to the SSS theorem.
Explanation:Rigid transformations in the context of geometry often refer to transformations that preserve the shape and size of geometric figures. The characterization quoted as 'SSS proof' likely refers to the Side-Side-Side congruence theorem in geometry, which states that if the three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. This congruence can be proven through certain rigid transformations, most commonly, translation, rotation and reflection.
In the case of the SSS proof, one or a combination of these three transformations can be used to map one triangle onto another. For example, you can translate one triangle so that a vertex matches a corresponding vertex on the other triangle. Then rotate the translated triangle if necessary so that one side matches the direction of the corresponding side on another triangle, this is rotation. Finally, if the triangle is flipped relative to the other one, reflect along the appropriate axis to match the final side. Again, this is the most common example and sometimes you may need to combine the transformations.
The inquiry about Einstein's postulate and other references seems unrelated to rigid transformations in Geometry and the SSS proof specifically.
Learn more about Rigid Transformations here:https://brainly.com/question/29001060
#SPJ2
It can be helpful to classify a differential equation, so that we can predict the techniques that might help us to find a function which solves the equation. Two classifications are the order of the equation -- (what is the highest number of derivatives involved) and whether or not the equation is linear .
Linearity is important because the structure of the the family of solutions to a linear equation is fairly simple. Linear equations can usually be solved completely and explicitly. Determine whether or not each equation is linear:
1. (1+y2)(d2y/dt2)+t(dy/dt)+y=et
2. t2(d2y/dt2)+t(dy/dt)+2y=sin t
3. (d3y/dt3)+t(dy/dt)+(cos2(t))y=t3
4. y''-y+y2=0
You have 10 choices to choose for each problem:
a. 1st. order linear differential equation
b. 2nd. order linear differential equation
c. 3rd. order linear differential equation
d. 4th. order linear differential equation
e. 5th. order linear differential equation
f. 1st. order non-linear differential equation
g. 2nd. order non-linear differential equation
h. 3rd. order non-linear differential equation
i. 4th. order non-linear differential equation
f. 5th. order non-linear differential equation
The equations are classified as follows: 1. 2nd order non-linear differential equation, 2. 2nd order linear differential equation, 3. 3rd order non-linear differential equation, 4. 1st order non-linear differential equation.
Explanation:The task given is to classify each differential equation into one of several categories: whether the order of the equation is first, second, third, fourth or fifth, and whether or not it is a linear differential equation.
(1+y2)(d2y/dt2)+t(dy/dt)+y=et is a g. 2nd. order non-linear differential equation because it involves the second derivative and y2 makes it non-linear. t2(d2y/dt2)+t(dy/dt)+2y=sin t is a b. 2nd. order linear differential equation because it involves the second derivative and all terms are linear in y. (d3y/dt3)+t(dy/dt)+cos2(t)y=t3 is an h. 3rd. order non-linear differential equation due to the cos2(t)y term. y''-y+y2=0 is a f. 1st. order non-linear differential equation because it involves only the first derivative and the y2 term makes it non-linear.Learn more about Classifying Differential Equations here:https://brainly.com/question/39328181
#SPJ11
(Q10) It's a long question so I will give you 30 points for answering it. Thank You!
(Picture Below)
Answer:
c. 30.9 °C; 32.9 °C
Step-by-step explanation:
Put the given numbers into the given formula and do the arithmetic.
(a) The temperature of sample 1 is ...
y = (100 -24)e^(-0.12·20) + 24 ≈ 30.9
___
(b) The temperature of sample 2 is ...
y = (100 -4)e^(-0.12·10) +4 ≈ 32.9
Hey nice job up there. Well thought out answer.
F 1 /2 an apple was shared equally among the 3 people, what fraction of the whole apple did each person receive?
1/6 because 1/3 of 1/2 is 1/6
My niece wanted to create a coverup she saw on Pinterest. It required a square piece of patterned fabric. We found an online store with some bright and fun samples of fabric at a reasonable price. They charge a flat shipping fee of $10 and then $3 per yard.
The formula 3n + 10 = t can be used to determine the total cost of the fabric, where n is the number of yards purchased, and t is the total cost of the fabric
1.1. What is the dependent variable (or write “neither” if there is not one)? _______________
Explain why or why not:
Answer:
The dependent variable is the total cost "t"
Explanation:
The given equation is:
3n + 10 = t
where n is the number of yards and t is the total cost
We have two variables in this equation, n and t
We know that the total cost "t" will depend on the number of yards of fabric she buys
This means that the total cost will change by changing the number of yards bought
For example:
If she bought 1 yard: t = 10 + 3(1) = $13
If she bought 3 yards: t = 10 + 3(3) = $19
Therefore, the total cost "t" depends on the number of yards which means that "t" is the dependent variable in the equation
Hope this helps :)
The diagonal of a square is 6 meters long. How long is a side of the square? What is the area of the square?
Answer:
4.24
Step-by-step explanation:
You can use the formula d=sqrt(2a to calculate this with ease.
The sum of 4 consecutive odd numbers is 40. What is the greatest of the 4 numbers
Answer:
13
Step-by-step explanation:
The 4 consecutive odd numbers that have a sum of 40 are 13, 11, 9, 7. 13 is the greatest of these numbers.
Hope this helps
MARKING BRAINLIEST! What is 14 x 90 divided by 200
This is through multiplication and division.
Remember your order of operations!
Answer: 6.3
Good luck!
-RxL
Answer:
The answer is 6.3
Step-by-step explanation:
14 x 90 divided by 200 = 14*90/200
= 7*9/10
= 6.3
Jennifer has a map of Yellowstone National Park. The scale on this map is 1 cm = 9.8 miles. Jennifer measured some distances on the map. What is the actual distance from Old Faithful to West Thumb? A) 22.54 miles B) 24.5 miles C) 27.44 miles D) 29.4 miles
Answer:
its b . 24.5
Step-by-step explanation:
Answer:
24.5
Step-by-step explanation:
Write an equivalent exponential equation for:
[tex]log_{2} (\frac{1}{4} ) = -2[/tex]
Answer: [tex]\frac{1}{4}=2^{(-2)}[/tex]
Step-by-step explanation:
You know that an expression written is logarithmic form is:
[tex]x=log_b(y)[/tex]
And an expression equivalent to the expression above that is written in exponential form is:
[tex]y=b^x[/tex]
Therefore, keeping the information above on mind, you have that an equivalent exponential equation for [tex]log_{2}(\frac{1}{4}) =-2[/tex] , is the shown below:
[tex]\frac{1}{4}=2^{(-2)}[/tex]
Answer:
[tex]\frac{1}{4} =2^{-2}[/tex]
Step-by-step explanation:
We are given the following expression and we are to write an equivalent exponential equation for it:
[tex] log_2 (\frac { 1 } { 4 } ) = - 2 [/tex]
We know that the standard form of a logarithmic expression is given by:
[tex] y = log_a ( x ) [/tex]
which is equivalent to the exponential form [tex] x = a ^ y [/tex].
Therefore, for the given expression, the equivalent exponential equation will be:
[tex] \frac { 1 } { 4 } = 2 ^ { - 2 } [/tex]
Evaluate the log without a calculator ( Show your work )
[tex]log_{3} \frac{1}{9}[/tex]
Answer:
-2
Step-by-step explanation:
log3 (1/9)
Replace 1/9 with a power of 3
1/9 = 3^-2
log3 (3^-2)
Using the power of power rule loga (b^c) = c log a(b)
-2 log3(3)
We know that loga(a) =1
-2 (1)
-2
PLEASE HELP ME OUT..........
I got your answer right my guy X=12
What is the value of x in this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. X = ° A right triangle. The perpendicular is labeled as 5. The base is labeled as 20. The alternate base angles are labeled as right angle and x degrees
Answer:
14.04°
Step-by-step explanation:
In this right triangle, we're seeking the measurement of an angle at the base of the triangle and we have the measurements of two of the sides (none are the hypotenuse) : the opposite one of the angle and the adjacent side.
The relationship between the two sides we have the measurement and the angle we are looking for is the tangent:
[tex]tan(\alpha) = \frac{a}{b} = \frac{5}{20} = 0.25[/tex]
To find the angle we do an arctan on 0.25 and we get an angle of 14.04 degrees.
Answer:
14.04
Step-by-step explanation:
i took the test
Fiona is standing 26 meters from the base of an oak tree. If she measures the angle of elevation to the top of the tree to be 37 degrees, how tall is the tree? Estimate your answer to two decimal places.
let's say hight of tree is x.
from figure attached , using trigonometry we can say
tan 37 = x / 26
multiplying by 26 both side
tan 37 × 26 = x/26 × 26
tan 37× 26 = x
putting value of tan 37
x = tan 37 × 26 = 0.7535 × 26
x = 19.592 meters
If (x, y) is a solution to the system of equations, what is the value of x? 2x + 1 2 y = 2 1 2 x + 2y = 6 A) 4 17
Answer:
(1.5, 1.5)
Step-by-step explanation:
To solve the system of equations, use elimination, substitution, or graphing to find the solution. The solution is the point (x,y) where they intersect.
Graph 2x + 12y = 21 and 2x + 2y = 6.
See attached picture.
The solution is (1.5, 1.5).
Which of the following number lines models the expression below?
-2.5 + (-1)
Answer:
The first option i.e a
Step-by-step explanation:
- 2.5 + (-1) = - 2.5 -1 = -3.5
and the arrow indicating towards -3.5 is first option
Samuel needs 233 feet of wood to build a fence. The wood comes in lengths of 11 feet. How many total pieces of wood will Samuel need? Please explain your answer. :)
233÷11=21.18
for a total of 22 pieces of wood