ANSWER:
How to construct a Line Segment Bisector AND a Right Angle
using just a compass and a straightedge.
STEP-BY-STEP EXPLANATION:
Steps:
1)Place the compass at one end of line segment.
2)Adjust the compass to slightly longer than half the line segment length
3)Draw arcs above and below the line.
4)Keeping the same compass width, draw arcs from other end of line.
5)Place ruler where the arcs cross, and draw the line segment.
Please answer with steps on how you solved it!
Jason bought a soft drink for $3 dollars and 9 candy bars. He spent a total of $30. How much did each candy bar cost?
How do you Solve by factoring
Final answer:
To solve an equation by factoring, find the factors, set them equal to zero, and solve for the variable.
Explanation:
To solve an equation by factoring, you need to find the factors of the equation and set each factor equal to zero. Then, solve each equation separately to find the values of the unknown variable. Let's take an example:
If we have the equation [tex]x^2 - 5x + 6 = 0[/tex]:
Factor the quadratic expression: (x - 2)(x - 3) = 0Set each factor equal to zero and solve: x - 2 = 0 and x - 3 = 0solve each equation separately to find the values of x: x = 2 and x = 3This method of factoring and setting each factor equal to zero is a systematic approach to solving quadratic equations, providing a structured way to identify the solutions for the unknown variable. The application of this technique is fundamental in algebra, enabling the efficient determination of roots in quadratic expressions and contributing to a comprehensive understanding of solving equations.
multiply (2.1 x 10^3) x (3.5 x 10^2)
A. 7.35 x 10^5
B. 3.6 10^1
C. 6.9 x 10^3
D. 2.83 x 10^2
Ezekiel was having a pizza party, so he bought 7 pizzas, each with 8 slices. Unfortunately, word of his party got out, and the party got out of control. Now, Ezekiel is trying to figure out how many people showed up. If he assumes that on average each person ate 3 1/2 slices, and if all the pizza was eaten, how many people would Ezekiel guess showed up?
solve
4x + 6 = 38
A. 144
B. 11
C. 8
D. 3.5
HELP! CONFUSED ON WHAT TO DO!
Marathon Training
Amanda and Kevin are training for a marathon. To prepare for this marathon they have been training and tracking their progress periodically. In the first week of training Kevin ran an average of 9.00 minutes per mile. Later, in week five of training he ran an average of 6.50 minutes per mile. In the first week of training Amanda ran an average of 10.00 minutes per mile. Later, in week seven of training she ran an average of 5.00 minutes per mile. Assuming that Kevin and Amanda continue to train and improve their times at the same rate your task is to determine which week they will have the same average minutes per mile. We will assume that the relationship is linear as they will be training for a maximum of 10 weeks. To complete this task follow the steps below.
1. Determine the equation of a line in standard form that represents Kevin’s training progress. His progress corresponds to the points (1, 9.00) and (5, 6.50). 2. Determine the equation of a line in standard form that represents Amanda’s training progress. Her progress corresponds to the points (1, 10.00) and (7, 5.00) 3. Solve the system of equations (showing work would be awesome!)
4. In which week will Kevin and Amanda have the same average minutes per mile?
5. If Kevin and Amanda continue to train until week 16, what will their times be? 6. Do you believe a linear model best represents the relationship of the time of the runners and the weeks that passed?(Hint: look at question 5). What do you think this says about problems in the real world? Justify your thoughts in 3-4 sentences.
Sorry it's this long, but please, I really don't know where to start or what to use to solve! I really need the help to understand. If you can't answer all, it's OK, but at least 2 or more would be great, so that way, I'll know to where to start!
George uses the diagram below to help determine 30% of 60. Which expression could George have used?
Answer:
[tex]\frac{3}{10}\times 60\text{ or }\frac{30}{100}\times 60[/tex]
Step-by-step explanation:
Given expression,
30% of 60,
We know that,
Convert percentage to fraction :
[tex]a\% =\frac{a}{100}[/tex]
Thus,
[tex]30\% = \frac{30}{100}=\frac{3}{10}[/tex]
So, 30% of 60 = [tex]\frac{3}{10}\times 60[/tex]
Which is the required expression.
In the figure, AB||CB. If CD:BA = 6:5 and the area of CED is 288, find the area of BEA
Answer:
The area of BEA is 200 square units.
Step-by-step explanation:
Given information: AB||CD and CD:BA = 6:5.
Let the length of sides CD and BA are 6x and 5x respectively.
If a transversal line intersect two parallel lines, then the alternative interior angles are equal.
[tex]\angle EAB=\angle EDC[/tex] (Alternate interior angles)
[tex]\angle EBA=\angle ECD[/tex] (Alternate interior angles)
[tex]\angle AEB=\angle DEC[/tex] (Vertically opposite angles)
By AAA property of similarity,
[tex]\triangle ABE\sim \triangle DEC[/tex]
The area of two similar triangles is proportional to the square of their corresponding sides.
[tex]\frac{Area(CED)}{Area(BEA)}=\frac{CD^2}{BA^2}[/tex]
[tex]\frac{288}{Area(BEA)}=\frac{(6x)^2}{(5x)^2}[/tex]
[tex]\frac{288}{Area(BEA)}=\frac{36x^2}{25x^2}[/tex]
[tex]\frac{288}{Area(BEA)}=\frac{36}{25}[/tex]
[tex]288\times 25=36\times Area(BEA)[/tex]
[tex]7200=36\times Area(BEA)[/tex]
Divide both sides by 36.
[tex]200=Area(BEA)[/tex]
Therefore the area of BEA is 200 square units.
What does the y intercept mean
One day, a person went to a horse racing area. instead of counting the number of humans and horses, he counted 72 heads and 192 legs. how many humans and horses were there?
John's gas tank is 16 full. after he buys 5 gallons of gas, it is 12 full. how many gallons can john's tank hold?
What is the solution to 2h+8>3h-6
Of all rectangles with a perimeter of 21 21, which one has the maximum area? (give the dimensions.) let a be the area of the rectangle. what is the objective function in terms of the width of the rectangle, w?
To find the rectangle with the maximum area, we need to find the dimensions and write the objective function in terms of the width of the rectangle.
Explanation:To find the rectangle with the maximum area, we need to find the dimensions of the rectangle that will give us the maximum area. Let's assume the width of the rectangle is w. Since the perimeter of the rectangle is given as 21, we can write the equation:
2w + 2l = 21
We can rearrange this equation to solve for l:
2l = 21 - 2w
l = (21 - 2w)/2
The area of the rectangle can be calculated as:
A = w * l
Substituting the expression for l we obtained earlier:
A = w * (21 - 2w)/2
Expanding and simplifying this equation will give us the objective function in terms of the width w.
Find the value of y.
–2y + 16 + 6y = 44
a. 15
b. 7
c. 3.5
d. –6
If y varies directly as x, and y = 12 when x = 15, find x when y = 21.
The length of a rectangle is the square root of 100 times an unknown number, x. The width is one-half an unknown number, y, less three-halves x. If the area of the rectangle is 125 cm2, find an equation that would give the width of the rectangle given the length.
Delia uses 3.5skeins of yard to knit one scarf how many scarves can she completed if she has 19skeins of yarn
What is the answer to H(x)=8x-10
How do you rank an answer the brainliest? Really would like to know.
All tutors that are employed at a local college must take a test and must score in the top 20%. if the scores are normally distributed with a mean of 78 and a standard deviation of 5, what is the cutoff score to be hired?
To solve this problem, we use the z statistic with formula:
z = (x – u) / s
or
x = s z + u
First we find the value of z at P = top 20%
z = 0.84
So the cut-off is:
x = 5 * 0.84 + 78
x = 82.2 (ANSWER)
You and your friend are buying throw blankets with your names embroidered on them.The cost of the throw blanket is x dollars and the cost of each embroidered letter is y dollars.Your name has 6 letters and the total cost is $29.Your friend’s name has 3 letters and the total cost is $24.50.Find the cost of the throw blanket and the cost of each embroidered letter.
Answer:
Throw Blanket : $20
Embroidered Letter: $1.50
Step-by-step explanation:
Create a set of equations to solve this problem, where x is cost of throw blanket and y is cost of single embroidered letter.
My name:
[tex]x+6y=29\\x=29-6y[/tex]
Friend's name:
[tex]x+3y=24[/tex]
Substituting x into friend's name equation:
[tex](29-6y)+3y=24.5\\3y-6y=24.5-29\\-3y=-4.5\\y=1.5[/tex]
Substituting y into equation for x:
[tex]x=29-6(1.5)\\x=29-9\\x=20[/tex]
Coach Stevens needs to purchase sprinklers to water the baseball field. The standard distance between bases is 90 feet and the infield is a perfect square.
Coach Stevens found one sprinkler that sprays a maximum distance of 50 feet.
If Coach Stevens placed the sprinkler on the pitcher's mound, would the water spray so that the entire infield was watered? Justify your response.
Answer:
So, if coach Stevens places as sprinkler of maximum distance 50 ft, he won't be able to cover the entire infield.
Step-by-step explanation:
Consider the infield as a polygon ABCDE.
It is given that each side AB, BC, CD, and DA is of length 90ft. It is also given that the infield is a perfect square.
Thus, the area of the square ABCD = 8100 ft.
Now consider the triangle BCD. Because of symmetry, the area of this triangle equals half the area of the square. Again, because of symmetry, the length of the base BD equals twice the length of the height EC.
Thus from to the formula of area of the triangle:
base × height = 4050 base × height = 8100 2(height) × height= 8100 height63.64 ft
Jerry has 64 cupcakes. Jane has 5 more cupcakes. How many cupcakes does Jane and Jerry have together?
Which of the binomials below is a factor of this trinomial?
x2 - 10x + 24
A. x + 4
B. x - 3
C. x - 4
D. x + 3
Answer:
Option (c) is correct.
(x-4) is a factor of given trinomial.
Step-by-step explanation:
Consider the give trinomial [tex]x^2-10x+24[/tex]
We have to find the factors of given binomial and choose the correct one from the given options.
Consider the given polynomial [tex]x^2-10x+24[/tex]
We will simplify the given quadratic equation using middle term split method,
-10x can be written as -4x-6x
Such that the product of term will give the product of the remaning terms,
Thus, the given trinomial becomes,
[tex]x^2-4x-6x+24[/tex]
Taking x common from first two terms and -6 common from last two terms, we have,
[tex]x(x-4)-6(x-4)[/tex]
Thus, take (x-4) common , we have,
[tex](x-4)(x-6)[/tex]
Thus, out of given factors (x-4) is a factor of given trinomial.
Which shape has the same volume as the given rectangular prism?
Thank you!
Answer:
The correct option is (A) i.e. cylinder.
Step-by-step explanation:NET BANGERZ
simplify
3√45
a)5√15
b)9√5
c)15√9
For what values of x is the following inequality true? 5/7 + x/7 >(underlined) 10. PLZ HELP!!! 12 points
4.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(x+5) - (10 * 7) / 7 = x - 65 / 7
Equation at the end of step 4:
x - 65 / 7 > 0
Step 5: 5.1 Multiply both sides by 7
Solve Basic Inequality:If dh = 3x-3 and fh=x+7 find the value of x for which defg must be a parallelogram
parallelogram
DH = FH
3x -3 = x + 7
2x = 10
x = 5
Answer
c. 5Which of the following is a radical equation?
Answer:
Option D. 7√x = 14
Step-by-step explanation:
By definition radical equation is an equation in which a variable is under radical.
Now we see the options given only in option D. x is variable under radical.
Therefore, 7√x = 14 is the radical equation.
Hence Option D. is the correct option.
A company has found that its supply function is equal to the square of the price of their product, all divided by three. The market for its products is also related to price. demand is a basic 920 units minus thirty times price, minus a quarter of the square of the price. What is the ideal price of their product, to make sure that there is neither a surplus nor a shortage? How many units will they sell at this price?