Answer:
b. length is 4 more than the width.
Step-by-step explanation:
Length - width = x + 4 - x = 4.
When drawing the arcs in order to bisect a line segment, why must the width of the compass be more than half of the length of
the segment? (1 point)
of the compass is not opened that wide, the arcs will not intersect, making the subsequent steps impossible
This is simply a loose guideline and the actual width of the compass does not matter
If the compass is opened wider than that, for example just less than the full length of the line segment, the arcs will not intersect
making the subsequent steps ingyssible
Bisecting means to divide something evenly in half, so the compass should be a little bit wider than half the length of the line segment
but not wider than three-fourths of the length of line segment
Answer: Choice A
If the compass isn't open wide enough, then the arcs won't intersect forming the points we need to create the perpendicular bisector.
Check out this link to see my response to the identical question answered 2 days ago
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feel free to ask any questions you have if you're still stuck
Answer:
a
Step-by-step explanation:
A retailer is having a promotional sale for 35% off all items. There is a 7% sales tax added to the price. Which represents the situation, where x is the original cost of the item(s)?
Answer:
C
Step-by-step explanation:
C on edge
Considering the discount and the sales tax, the equation that represents the situation is:
[tex]C(x) = 0.6955x[/tex]
-------------------------------
The original price, without discount, is of x.Promotional sale for 35% off all items, which means that the amount paid is 100% - 35% = 65% of the original price, thus x is multiplied by 0.65.7% sales tax means that x is also multiplied by 100% + 7% = 107% = 1.07.Thus, the equation that represents the cost is:
[tex]C(x) = x \times 0.65 \times 1.07 = 0.6955x[/tex]
A similar problem is given at https://brainly.com/question/23721710
Approximate the square root of 228 to the nearest hundredth.
Answer:
15.1
Step-by-step explanation:
15.1 times 15.1 = 228.01
Answer:
Nearest hundredth of 228 is 200 so the square root of 200 is 10under root 2.
Step-by-step explanation:
Hope it will help you :)
9. A bank pays interest of 11% on $6000 in a deposit account
After how many years will the money have trebled?
Answer:
Approximately 6.642 years
Step-by-step explanation:
The given parameters are;
The amount in the deposit account = $6,000
The time in which the money will have trebled at 11% compound interest, is given as follows;
[tex]A = P\times \left (1 + \dfrac{r}{n} \right )^{n\cdot t}[/tex]
Where;
A = The amount at the end of the period
P = The amount in the deposit = $6,000.00
r = The rate of interest = 11%
t = The periods that elapsed
n = The number of times the interest is applied per period of time, t = 1
For the money to have trebled, the amount generated at the end of the period will be 200% the amount deposited
Therefore, we have;
Amount, A, at the end of period = 200/100× $6,000 = $12,000
Substituting the values into the formula for the formula, we have;
[tex]\$ 12,000 = \$ 6,000\times \left (1 + \dfrac{0.11}{1} \right )^{1\times t}[/tex]
Which gives;
[tex]\$ 12,000 = \$ 6,000\times \left (1 + {0.11} \right )^{t}[/tex]
[tex]\left (1 .11} \right )^{t} = \dfrac{ \$ 12,000}{\$ 6,000} = 2[/tex]
t = ㏒(2)/(㏒(1.11)) ≈ 6.642 years which is approximately 6 years, 7 months and 24 days
A set of 9 numbers has a mean of 20. What additional number must be included in this set to create a new set with a mean that is 4 less than the mean of the original set?
Greetings from Brasil...
The average for a set of 9 elements will be
(A + B + C + D + E + F + G + H + I) ÷ 9 = 20
Let's make (A + B + C + D + E + F + G + H + I) like S
(I chose S to remember a sum)
Let us think.....
S ÷ 9 = 20
S = 20 × 9
S = 180
So, (A + B + C + D + E + F + G + H + I) = 180
According to the statement, we will include a number (element J) in the sum to obtain a mean of (20 - 4), that is:
(A + B + C + D + E + F + G + H + I + J) ÷ 10 = (20 - 4)as seen above, (A + B + C + D + E + F + G + H + I) = 180, then
(180 + J) ÷ 10 = 16
(180 + J) = 160
J = 160 - 180
J = - 20So, including the number - 20 (minus 20) in the original mean we will obtain a new mean whose result will be 16
Round the number below to the nearest tenth. x = 5.03126
Answer:
See Below:
Step-by-step explanation:
Tenths place is just 1 decimal place thus it is 5.0
Simplify: 7 - 3(2x - 5) - 4x
Answer:
[tex]\Huge \boxed{2(-5x+11)}[/tex]
Step-by-step explanation:
[tex]7 - 3(2x - 5) - 4x[/tex]
Expanding brackets.
[tex]7-6x+15-4x[/tex]
Grouping like terms.
[tex](-6x-4x)+(7+15)[/tex]
Combining like terms.
[tex]-10x + 22[/tex]
Factoring the expression.
[tex]2(-5x+11)[/tex]
PLEASE HELP ME ASAP!!! ILL MARK BRIANLIEST AND GIVE EXTRA POINTS1. When writing a linear equation for a word problem, what are some things to keep in mind or some keywords to watch out for? What do those keywords mean/ why should you watch out for those things?
Answer:
Some keywords include "starting amount," you should look out for this because it will be the y-intercept for the equation. Another keyword may be "daily" or "monthly" or "yearly," which would be the coefficient of x, or the amount that y increases with an increase of 1 in x.
pls mark brainliest :)
If y varies inversely as x, and y = 6 when x = 24, find x when y = 18
Answer:
x = 8
Step-by-step explanation:
Standard form for inverse variation:
y = k/x
We now use the given information to find k.
y = 6 when x = 24
6 = k/24
k = 6 * 24
k = 144
The equation for this inverse relation is
y = 144/x
For y = 18, we get
18 = 144/x
18x = 144
x = 144/18
x = 8
Answer:
x = 8Step-by-step explanation:
To find the value of x when y = 18 we must first find the relationship between them.
The statement
y varies inversely as x is written as
[tex]y \: \: \alpha \: \: \frac{k}{x} [/tex]where k is the constant of proportionality
From the question when
y = 6
x = 24
Substitute the values into the above equation
That's
[tex]6 = \frac{k}{24} [/tex]Cross multiply
That's
k = 24(6)
k = 144
So the formula for the variation is
[tex]y = \frac{144}{x} [/tex]When
y = 18
[tex]18 = \frac{144}{x} [/tex]Cross multiply
18x = 144
Divide both sides by 18
x = 8Hope this helps you
Find The area of each square. Input each area then click them
Answer:
see below
Step-by-step explanation:
Area 1 = 3 x 3 = 9 m²
Area 2 = 4 x 4 = 16 m²
Area 3 = 5 x 5 = 25 m²
The areas are 16 unit², 9 unit² and 25 unit² respectively.
What is Surface Area?The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. Square units are used to measure it as well.
As per the given diagram:
We are given 3 squares, and we have to find out the area of each square.
The area of a square is given by a², where a is the length of the side of the square.
For area of the square with length of the side, 4 units.
A = (4)² unit² = 16 unit²
For area of the square with length of the side, 3 units.
A = (3)² unit² = 9 unit²
For area of the square with length of the side, 5 units.
A = (5)² unit² = 25 unit²
The areas are 16 unit², 9 unit² and 25 unit² respectively.
Hence, The areas are 16 unit², 9 unit² and 25 unit² respectively.
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Se cocina una pizza de 20 cm de radio, en su interior se coloca al azar 12 piezas de salami
circular de 1 cm de radio y en al área restante se pondrá queso.
¿Qué área se tiene para el queso? (Expresar el resultado en términos de 7)
Answer:
The area of cheese is 388π cm.
Step-by-step explanation:
Given that,
Radius of pizza = 20 cm
Number of pieces = 12
Radius of circle = 1 cm
We need to calculate the area of pizza
Using formula of area
[tex]A=\pi\times r^2[/tex]
Put the value into the formula
[tex]A=\pi\times20^2[/tex]
[tex]A=400\pi\ cm^2[/tex]
We need to calculate the area of circle
Using formula of area
[tex]A'=\pi\times r^2[/tex]
Put the value into the formula
[tex]A'=\pi\times1^2[/tex]
[tex]A'=\pi\ cm^2[/tex]
Now, we multiply the result by 12 because they are 12 salamis.
So. the area of salamis will be
[tex]A'=12\pi\ cm^2[/tex]
We need to calculate the area of cheese
The total area of the pizza and subtract the area of the salamis
[tex]A''=A-A'[/tex]
Put the value in to the formula
[tex]A''=400\pi-12\pi[/tex]
[tex]A=388\pi\ cm^2[/tex]
Hence, The area of cheese is 388π cm.
what is 3x + 4 = 12
Answer:
3x - 4 = 12
3x = 12 + 4
3x = 16 (divide both sides by 3 to get x)
3x/3 = 16/3
x = 5.333.......
19x+rx= -37x+w what is the x
Answer:
x = w / (56 + r)
Step-by-step explanation:
Given the equation :
19x + rx= -37x + w ; find x
Collecting like terms
19x + rx + 37x = w
Factorizing x in the Left hand side
x(19 + 37 + r) = w
x(56 + r) = w
Therefore we can obtain x by dividing both sides by (56 + r)
x(56 + r) / (56 + r) = w / (56 + r)
x = w / (56 + r)
The theoretical probability of a customer
walking into Andy's deli and purchasing a
sandwich is 6 in 10. Which of the
following predictions about Andy's deli is
most likely true?
Point M is the midpoint between points A and B. If A(-7, 2) and B(-1,-4)
find the location of M.
Answer:
M(-4, -1)
Step-by-step explanation:
M = (A +B)/2
M = ((-7, 2) +(-1, -4))/2 = (-8, -2)/2 = (-4, -1)
The location of M is (-4, -1).
In a dessert, the ratio of the number of ounces of dark chocolate used to the number of ounces of white chocolate used is 8 : 5 How many ounces of dark chocolate are used for every 1 ounce of white chocolate used to make the dessert ?
Answer:
1.6 ounces
Step-by-step explanation:
Divide the ratio by 5 to get the number of ounces of dark chocolate used for 1 ounce of white chocolate, since 5/5 = 1
8/5 = 1.6
5/5 = 1
The new ratio is 1.6 : 1
This means that 1.6 ounces of dark chocolate are used for every 1 ounce of white chocolate
Jacques is standing 1200 meters from a
cliff he is planning to climb. The angle of
elevation from the ground to the top of the
cliff is 35º. To the nearest meter, how tall is
the cliff?
Answer:568.58
Step-by-step explanation:
Tan(35)=h/1200
1200tan(35)=h
568.57766=h
568.58
There are a total of 84 people, lions, and giraffes at the zoo. Cassie visits the
zoo and counts 282 total legs. If you were to double the number of people,
that is equivalent to tripling the number of lions. How many of each are at the
zoo?
Answer:
14 giraffes, 28 people and 42 lions
Step-by-step explanation:
you add how many legs for all 3 x1
add this you have a total 14
double that is 28 triple that is 42
total 84
Suppose the test scores of students in a class are normally distributed with a mean of 86 and a standard deviation of 4. What is the z-score for a student that scored 76 on a test? A.−4 .−2.5 C.2.5 D.4
Answer:
-2.5
Step-by-step explanation:
Here in this question, we are interested in calculating the z-score for a student that had a particular mark at the test
To calculate the z-score, we need to use a mathematical formula
Mathematically;
z-score = (x - mean)/SD
From the question;
x = 76
mean = 86
standard deviation SD = 4
Plugging these values in the equation, we have;
z-score = (76-86)/4 = -10/4 = -2.5
2 which of the following is a perfect cube
a) 400 -
D. 3375–
C 8000 -
Answer:
8000 is a perfect cube but 3375 can be also but i m a little sure that 8000 is a perfect cube
Consider the system of quadratic equations \begin{align*} y &=3x^2 - 5x, \\ y &= 2x^2 - x - c, \end{align*}where $c$ is a real number. (a) For what value(s) of $c$ will the system have exactly one solution $(x,y)?$ (b) For what value(s) of $c$ will the system have more than one real solution? (c) For what value(s) of $c$ will the system have no real solutions? Solutions to the quadratics are $(x,y)$ pairs. Your answers will be in terms of $c,$ but make sure you address both $x$ and $y$ for each part.
Hello, we need to solve this system, c being a real number.
[tex]\begin{cases}y &= 3x^2-5x\\y &= 2x^2-x-c\end{cases}[/tex]
y=y, right? So, it comes.
[tex]3x^2-5x=2x^2-x-c\\\\3x^2-2x^2-5x+x+c=0\\\\\boxed{x^2-4x+c=0}[/tex]
We can compute the discriminant.
[tex]\Delta=b^2-4ac=4^2-4c=4(4-c)[/tex]
If the discriminant is 0, there is 1 solution.
It means for [tex]4(4-c)=0 <=> 4-c=0 <=> \boxed{c=4}[/tex]
And the solution is
[tex]x_2=x_1=\dfrac{4}{2}=2[/tex]
If the discriminant is > 0, there are 2 real solutions.
It means 4(4-c) > 0 <=> 4-c > 0 <=> [tex]\boxed{c<4}[/tex]
And the solution are
[tex]x_1=\dfrac{4-\sqrt{4(4-c)}}{2}=\dfrac{4-2\sqrt{4-c}}{2}=2-\sqrt{4-c}\\\\x_2=2+\sqrt{4-c}[/tex]
If the discriminant is < 0, there are no real solutions.
It means 4(4-c) < 0 <=> 4-c < 0 <=> [tex]\boxed{c>4}[/tex]
There are no real solutions and the complex solutions are
[tex]x_1=\dfrac{4-\sqrt{4(4-c)}}{2}=\dfrac{4-2\sqrt{i^2(c-4)}}{2}=2-\sqrt{c-4}\cdot i\\\\x_2=2+\sqrt{c-4}\cdot i[/tex]
Thank you.
Solve. 10. On weekdays, Kiki walks 2 miles in the morning and I mile in the evening. On Saturdays, she walks 4 miles. Place parentheses in the expression to represent the number of miles Kiki walks each week. 5x 2 + 1 + 4 USING GROUPING SYMBOLS (C)
Answer:
The parenthesis should be placed as shown:
5 x (2+1) + 4
Step-by-step explanation:
What Kiki walks every week day is : 2 miles + 1 mile = (2+1)
since this is done 5 times per week (on weekdays) to obtain the total walked on weekdays, you multiply this by 5: 5 x (2+1)
and we need to add to this what Kiki walks on Saturdays (4 miles){
5 x (2+1) + 4
10 = 7 - m*
It says solve & check solution. Can someone help asap
Answer:
see explanation
Step-by-step explanation:
Given
10 = 7 - m ( subtract 3 from both sides )
3 = - m ( multiply both sides by - 1 )
- 3 = m , or
m = - 3
As a check
Substitute m = - 3 into the right side of the equation and if equal to the left side then it is the solution
7 - m = 7 - (- 3) = 7 + 3 = 10 = left side
Thus m = - 3 is the solution to the equation
f(x)= (1,2) (3, -4) (-5, -8)
Answer: y= 156
Step-by-step explanation:
y= 12(3-4) (-5 -8)
Solve log x = 4.
Ox=4
O x = 40
Ox= 1,000
Ox= 10,000
Hi there! :)
Answer:
[tex]\huge\boxed{x = 10,000}[/tex]
Given:
[tex]logx = 4[/tex]
The given expression is a logarithm with a base of 10, therefore we can rewrite this as:
[tex]10^{4} = x[/tex]
Evaluate:
[tex]x = 10,000[/tex]
Which undefined terms are needed to define a line segment?
Answer: The correct answer is point and line. Explanation: These are two of the fundamental undefined terms in geometry. A line segment is a part of a line that has two defined points at each end; therefore "line" and "point" are used in the definition.
Step-by-step explanation:
The undefined terms which are needed to define a line segment are Point and line.
Line Segment: A line segment is a part of the line that connects two endpoints. A line is also the shortest distance between the two points.Undefined terms: Point: A Point indicates a location that has no size. Line: A line is a set of continuous points, which extends continuously at both ends.
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describe a situation that could be modeled with the ration 4:1
Answer:
There could be many situations that use this ratio, but one example could be For every 4 pencils purchased 1 large eraser will be purchased.
But, as said before anything can be used as an example.
How many dots are there at t minutes? Solve the problems by your preferred method. Your
solution should indicate how many dots will be in the pattern at 3 minutes, 100 minutes,
and t minutes. Be sure to show how your solution relates to the picture and how you
arrived at your solution.
The image to the question is missing, but I found a matching image, which is attached to this solution
Answer:
3 minutes = 13 dots
100 minutes = 401 dots
t minutes = 4(t) + 1 dots
Step-by-step explanation:
From the image, the following can be noticed:
time (Mins) dots
0 1
1 5
2 9
The pattern gotten from this progression is that, if the time is multiplied by 4, and the result added to one, the result will be the number of dots.
hence, when the time is 0 minutes:
0 × 4 = 0
0 + 1 = 1 ( 1 dot)
when the time is 1 minute
1 × 4 = 4
4 + 1 = 5 (5 dots)
when the time is 2 minutes
2 × 4 = 8
8 + 1 = 9 ( 9 dots)
Therefore,
when the time = 3 minutes
3 × 4 = 12
12 + 1 = 13 dots
at 100 minutes:
100 × 4 = 400
400 + 1 = 401 dots
at t miutes
t × 4 = 4t
4t + 1 = number of dots
Therefore number of dots at t minutes = 4(t) + 1
Please solve, 7(2-2x)= -13-5x
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
We can try and isolate x on one side of the equation to find its value.
First let's apply the distributive property on the left side and get a simpler equation.
[tex]7(2-2x)=-13-5x\\\\14-14x = -13-5x[/tex]
Now, to simplify this down, we can add 5x to both sides.
[tex]14-14x + 5x = -13-5x + 5x\\\\14-9x=-13[/tex]
Now we can add 13 to both sides:
[tex]14-9x+13=-13+13\\\\27-9x=0[/tex]
Now we subtract 27 from both sides:
[tex]27-9x-27=0-27\\\\-9x=-27[/tex]
And finally we divide both sides by -9.
[tex]-9x\div-9=-27\div-9\\\\x=3[/tex]
Hope this helped!
Answer:
[tex]\Huge \boxed{x=3}[/tex]
Step-by-step explanation:
[tex]7(2-2x)= -13-5x[/tex]
Expanding brackets.
[tex]14-14x= -13-5x[/tex]
Adding 5x and -14 to both sides.
[tex]-14x+5x=-13-14[/tex]
[tex]-9x=-27[/tex]
Dividing both sides by -9.
[tex]x=3[/tex]
A triangle has sides with lengths of 5x - 2, 4x - 4, 6x - 8. What is the perimeter of the triangle?
Answer:
(15x - 4) units
Step-by-step explanation:
5x-2 + 4x-4 + 6x - 8
15x - 14