Answer:
80
Step-by-step explanation:
Change 40% to a decimal by moving the decimal 2 places left or divide 40 by 100. Write an equation.
[tex].4p = 32[/tex]
divide both sides by .4
[tex]p = 80[/tex]
In the standard (x,y) coordinate plane, point A has coordinates (–9,–1). Point A is translated 9 units to the right and 1 unit up, and that point is labeled A′. What are the coordinates of A′ ?
A.(-18,-2)
B.(-10,-10)
C.(-9,-2)
D.(0,0)
E.18,2)
Translation involves changing the position of a point in the coordinate plane.
The coordinate of the translated point A' is (D) (0,0)
The coordinate of the point is given as:
[tex]A = (-9,-1)[/tex]
The rule of translation 9 units right, and 1 unit up is:
[tex](x,y) \to (x+9,y+1)[/tex]
So, we have:
[tex]A' = (-9+9,-1+1)[/tex]
Simplify the expression
[tex]A' = (0,0)[/tex]
Hence, the coordinate of the translated point A' is (D) (0,0)
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If the coordinate is translated 9 units right and 1 units up, the resulting coordinate will be at (-9 + 9, -1 + 1) which is A'(0, 0). Option D is correct
Given the coordinate point A (x, y), if the coordinate is translated a unit right and b units up, the resulting coordinate will be at (x + a, y + b)
Note that both values are added to the coordinate points.
Given the coordinate point A (-9, -1), if the coordinate is translated 9 units right and 1 units up, the resulting coordinate will be at (-9 + 9, -1 + 1) which is A'(0, 0)
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helppppppppp??? Pls !!!
Answer:
a. 19
Step-by-step explanation:
5/6x-1/5x=19
5/6(30)-1/5(30)=19
25-6=19
19=19
?/30(30)=19
19/30(30)=19
19=19
I'm not sure if this is exactly what you're looking for, but 19=19 if you plug in 19 for the box (and x=30 because of the first section, I'm guessing)
I need help on this I've been struggling to solve
Answer:
ok
Step-by-step explanation:
Use the hundredths grid to answer the question.
A 10 by 10 grid is shown. 3 columns and 6 squares are red. 2 columns and 7 squares are blue.
Which of the equations is shown by the shaded area of the model?
A.
0
.
29
+
0
.
37
=
0
.
63
B.
0
.
34
+
0
.
23
=
0
.
57
C.
0
.
36
+
0
.
27
=
0
.
63
D.
0
.
24
+
0
.
33
=
0
.
57
9514 1404 393
Answer:
C. 0.36 +0.27 = 0.63
Step-by-step explanation:
3 columns and 6 squares of a hundredths grid is a representation of ...
0.30 +0.06 = 0.36
2 columns and 7 square is a representation of ...
0.20 +0.07 = 0.27
The total shaded area is the sum of these:
0.36 +0.27 = 0.63
A line with a slope of -3 passes through (-8,p) and (2,3p).
Find the value of p.
(3p-p)/(2-(-8))= -3
2p/10= -3
2p= -30
p= -15
Answer:
-15
Step-by-step explanation:
Given that a line has a slope of -3 and passes through the points (-8,p) and (2,3p) . And we need to find out the value of p . As we know that the slope is ,
[tex]\longrightarrow\sf slope = y_2-y_1/x_2-x_1[/tex]
Substituting the respective values ,
[tex]\longrightarrow[/tex] -3 = (p - 3p)/(-8-2)
Simplify ,
[tex]\longrightarrow[/tex] -3 = -2p/-10
[tex]\longrightarrow[/tex] -3 = p/5
[tex]\longrightarrow[/tex] p = 5 * -3
[tex]\longrightarrow[/tex] p = -15
Hence the value of p is -15 .Eraph the line that represents the equation Y = -2/3x + 1
I need answer ASAP
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The equation is given in "slope-intercept" form.
y = mx + b
where m is the slope, and b is the y-intercept.
__
For graphing, it is usually convenient to start with the y-intercept. The value of 'b' in your equation is +1, so the graph will go through the point y=1 on the y-axis. That point's coordinates are (0, 1).
The value of m represents the slope, or "rise"/"run" of the line. A slope of -2/3 means the line "rises" -2 units for each "run" of 3 units to the right. Then another point on the graph will be 3 units to the right of the y-axis, and 2 units down from y = 1. That point is (3, -1).
The line is drawn through these points you found on the graph.
Simplify the linear expression.
Answer:
5a/3+1/8-a/6-1/2
Step-by-step explanation:
What is an equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25x+5y=25?
Answer:
[tex]y = - \frac{1}{5} x - 7[/tex]
Step-by-step explanation:
let's rewrite the equation
[tex]x + 5y = 25 \\ 5y = - x + 25 \\ y = - \frac{1}{5} x + 5[/tex]
Now let's use the given point and substitute it to find the y-intercept
[tex] - 6 = - \frac{1}{5} ( - 5) + b \\ - 6 = 1 + b \\ b = - 7[/tex]
The required solution of the given equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25 is
[tex]y=\frac{-1x}{5} -7[/tex].
What is slope?Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.
Given:
The point is (-5,-6) and is parallel to the line x+5y=25.
According to given question we have
By use of slope we get
x+5y=25
5y=25-x
Divide both sides 5 we get,
y=-1/5x+5
Where m= -1/5
Now you can find the equation of the parallel line using
[tex](y-y_{0} )=m(x-x_{0})[/tex]
Put the given point as (-5,-6) we have,
[tex](y+6)=\frac{-1}{5} (x+5)\\\\y=\frac{-1x}{5} -1-6\\\\y=\frac{-1x}{5} -7[/tex]
Therefore, the required solution of the given equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25 is
[tex]y=\frac{-1x}{5} -7[/tex].
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What single decimal multiplier would you use to decrease by 2% followed by a 7% decrease?
9514 1404 393
Answer:
0.9114
Step-by-step explanation:
That multiplier would be ...
(1 -2%)×(1 -7%)
= (1 -0.02)(1 -0.07)
= 0.98×0.93 = 0.9114
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 5 milliliters of compound B. If a chemist wants to make 408 milliliters of the drug, how many milliliters of compound A are needed?
Answer:
153
Step-by-step explanation:
The formula is 3 mL of A to 5 mL of B.
Let's say the chemist uses just the numbers in the formula.
Add 3 mL of A to 5 mL of B.
3 mL + 5 mL = 8 mL
The chemist ends up with 8 mL of the drug.
He really want 408 mL.
408 mL is how many times greater than 8 mL?
408/8 = 51
He needs to use 51 times the numbers in the formula.
51 * 3 mL of A + 51 * 5 mL of B =
= 153 mL of A + 255 mL of B
= 408 mL of the drug
Answer: 153
Base BC of an equilateral triangle ABC is root2 x+y+2=0. If vertex A is the origin, then the area of triangle ABC is (in sq. units) A) 3 root3 B) 2/3 root3 C) 4/3 root3 D) 6 root3
Answer: Choice C
4/(3*sqrt(3))
which is the same as writing [tex]\frac{4}{3\sqrt{3}}[/tex]
==============================================================
Explanation:
We have the line [tex]\left(\sqrt{2}\right)x+y +2 = 0[/tex] in which points B and C are on this line. In other words, all of segment BC is on that line.
Point A is somewhere off that line as the diagram below indicates. We need to find the line through A that is perpendicular to the given line.
Recall that for any line of the standard form [tex]Px+Qy+R = 0\\\\[/tex], any perpendicular line will look like this: [tex]Qx-Py+S = 0\\\\[/tex]. Note the swap and sign change for the P,Q coefficients.
So anything perpendicular to [tex]\left(\sqrt{2}\right)x+y +2 = 0[/tex] will be of the form [tex]x-\left(\sqrt{2}\right)y+S = 0[/tex]. The sub-goal here is to find what S is equal to.
If you plugged in the origin point (x,y) = (0,0), then you should find that S = 0.
Therefore, the equation [tex]x-\left(\sqrt{2}\right)y = 0[/tex] is perpendicular to the given line and it passes through point A(0,0).
---------------------------
The reason why we computed that perpendicular line is to help determine the point D as shown in the diagram below. This point is at the intersection of the green perpendicular lines. This is at the base of the triangle such that BC is the base.
To find the location of point D, you need to solve this system of equations
[tex]\begin{cases}\left(\sqrt{2}\right)x+y +2 = 0\\\\x-\left(\sqrt{2}\right)y = 0\end{cases}[/tex]
Let's isolate x in the second equation
[tex]x-\left(\sqrt{2}\right)y = 0\\\\x=\left(\sqrt{2}\right)y\\\\[/tex]
Then substitute that into the other equation. Solve for y.
[tex]\left(\sqrt{2}\right)x+y +2 = 0\\\\\left(\sqrt{2}\right)*\left(\sqrt{2}\right)y+y +2 = 0\\\\2y+y +2 = 0\\\\3y +2 = 0\\\\3y = -2\\\\y = -2/3\\\\[/tex]
Now we can find x like so
[tex]x=\left(\sqrt{2}\right)y\\\\x=\left(\sqrt{2}\right)*(-2/3)\\\\x=\frac{-2\sqrt{2}}{3}\\\\[/tex]
The point D is located at the exact coordinates of
[tex]D=(x,y) = \left(\frac{-2\sqrt{2}}{3},\frac{-2}{3}\right)\\\\[/tex]
---------------------------
Next, we use the distance formula to compute the distance between point A and point D.
I'll use lowercase d to represent distance.
[tex]A = (x_1,y_1) = (0,0)\\\\D = (x_2,y_2) = \left(\frac{-2\sqrt{2}}{3},\frac{-2}{3}\right)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{\left(0-\left(\frac{-2\sqrt{2}}{3}\right)\right)^2 + \left(0-\left(\frac{-2}{3}\right)\right)^2}\\\\d = \sqrt{\left(\frac{2\sqrt{2}}{3}\right)^2 + \left(\frac{2}{3}\right)^2}\\\\d = \sqrt{\frac{8}{9} + \frac{4}{9}}\\\\d = \sqrt{\frac{12}{9}}\\\\d = \sqrt{\frac{4}{3}}\\\\d = \frac{\sqrt{4}}{\sqrt{3}}\\\\d = \frac{2}{\sqrt{3}}\\\\[/tex]
This represents the exact length of segment AD.
---------------------------
Since triangle ABC is equilateral, this means triangles ADB and ADC are identical mirrored copies of each other. Those two smaller triangles are equal in area and combine to form triangle ABC back again. Furthermore, they are right triangles. This last fact mentioned will allow us to use the pythagorean theorem like so
[tex]a^2+b^2 = c^2\\\\\left(\text{AD}\right)^2+\left(\text{DC}\right)^2=\left(\text{AC}\right)^2\\\\\left(\frac{2}{\sqrt{3}}\right)^2+\left(\frac{x}{2}\right)^2=\left(x\right)^2\\\\[/tex]
where x represents the lengths of AB, BC and AC.
After skipping a bit of steps, solving that said equation should lead to these two solutions
[tex]x = -\frac{4}{3}, \ x = \frac{4}{3}[/tex]
Because x is a side length, we ignore the negative solution.
---------------------------
We can now compute the area of triangle ABC
[tex]\text{area of triangle} = \frac{1}{2}*\text{base}*\text{height}\\\\\text{area of triangle ABC} = \frac{1}{2}*\text{BC}*\text{AD}\\\\\text{area of triangle ABC} = \frac{1}{2}*\frac{4}{3}*\frac{2}{\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{1*4*2}{2*3*\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{8}{6\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{4}{3\sqrt{3}}\\\\[/tex]
which points us to choice C as the final answer.
When writing this on a keyboard, we would write "4/(3*sqrt(3))" without quotes. The use of parenthesis is needed to ensure we divide by all of 3*sqrt(3). Otherwise, the computer might mistake it for [tex]\frac{4}{3}\sqrt{3}[/tex] which is entirely different.
6x²+2x-8÷(2x-2)=
How do you divide polynomials by binomials
9514 1404 393
Answer:
3x +4
Step-by-step explanation:
Polynomial long division is done the same way numerical long division is done.
The next quotient term is found by dividing the highest-degree dividend term by the highest-degree divisor term. The result is the exact quotient term. There is no need to go back and make an adjustment as there sometimes is with numerical long division.
Once you have the quotient term, you multiply that by the divisor and subtract from the dividend. This is the same procedure as is used with numerical long division. The difference is the new dividend, and the process repeats.
When the dividend is lower-degree than the divisor, that dividend is the remainder. For this division, the remainder is zero, so the quotient has no fractional part.
__
Both the quotient and the divisor can have any degree and any number of terms. It is useful to write both so all powers of the variable are accounted for, using 0 as a coefficient where necessary. This helps keep things straight when you're multiplying and subtracting. As you know, only "like" terms (terms of the same degree) can be combined by addition or subtraction.
How can the vertex of a parabola be used in solving
real-world problems?
Answer:
The vertex is the maximum or minimum point of the quadratic function. It can be used to solve real world problems optimization problems that can be modeled with quadratic functions
Step-by-step explanation:
hope this helps^^
brainliest maybe??<3
Help me with this math, please!! <3
After training for and running a marathon, an athlete wants to reduce her daily run
by half each day. The marathon is about 26 mi. How many days will it take after the
marathon before she runs less than a mile a day? Show your work.
Answer:
6 days
Step-by-step explanation:
This question becomes much easier when written out per day (shown below). The question tells us that she is reducing her run by half every day, so all we need to is divide the previous day by 2 to get the current day. She starts out with 26 miles so this is our day 1 value.
Day 1 = 26 miles
Day 2 = 13 miles (26÷2=13)
Day 3 = 6.5 miles (13÷2=6.5)
Day 4 = 3.25 miles (6.5÷2=3.25)
Day 5 = 1.625 miles (3.25÷2=1.625)
Day 6 = 0.8125 miles (1.625÷2=0.8125)
We can see that by day 6, her total running amount is less that 1 mile, so the final answer is 6 days.
Paris Saint-Germain, a French professional soccer team, led the 2015 ESPN/Sporting Intelligence Global Salary Survey with the largest payroll for all professional sports teams. A soccer fan looks up the salaries for all of the players on the 2015 Paris Saint- Germain team. Because the fan took a statistics course, the fan uses all of these salaries to get a 95% confidence interval for the mean salary for all 2015 Paris Saint-Germain players. This makes no sense. Why not
The confidence interval for the mean gives an estimated range in which the true population mean of the data resides. Since, the fan uses all the population data, then he could find the population mean directly.
The population mean gives the value of the mean using all the data in the population, it is often referred to as the true mean. In cases where the entire population data is not available or incomplete, the true mean can be estimated using the sample mean within a given range called the confidence interval of the mean.Therefore, since the fan is already using all the population data, then he could just calculate the population mean directly.
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The box-and-whisker plot represents the number of tickets
sold for each show of a musical in the first month.
Ticket Sales for Musical
100 120 140 160 180 200 220 240
what is the range?
Answer:
345
Step-by-step explanation:
please show work if needed if not then just answer:)
Answer:
Not here.
Step-by-step explanation:
F. The converse of the conditional.
The converse would state the following:
"If it is January, then it is winter in the United States" (Original).
"If it is winter in the United States, then it is January" (Converse).
It is not true, as it can be December, January, or February during the winter season.
G. The inverse of the conditional.
The inverse would state the following:
"If it is January, then it is winter in the United States" (Original).
"If it is not January, then it is not winter in the United States" (Inverse).
Again, as the above states, the winter season encompasses more than just the month of January.
H. The contrapositive of the conditional.
The contrapositive would state the following:
"If it is January, then it is winter in the United States" (Original).
"If it is not January, then it is not winter in the United States" (Contrapositive).
Again, there is more than just January in the winter season.
~
If y = 14 when x=8, determine the value
of y when x = 12.
Answer:
y = 18
Step-by-step explanation:
Without a picture or more information, this question is actually unsolveable. The answer could be multiple things, because there are multiple way to get from 8 to 14. But I will just assume that the equation for solving is:
x + 6 = y
So plug in 12 for x and you get y = 18.
Pleaaaaaaseeee
10 points
In the playing card deck below what is the chance of pulling 4 face cards without replacing the cards in between pulls? Answer in decimal form rounded to the 6th digit after the
decimal
Answer:
0.13000
there is 52 cards in a deck so you take 52 and divide it by 4 since there is only 4 face cards you then get 13 and turn it into 0.13 then round to the 6th digit or millionth after the decimal so you would get 0.130000
If ABC is congruent to DEC…..what is x
Answer:
x = 32.5
Step-by-step explanation:
If ABC is congruent and equal to DEC then angle CDE = angle CBA since AB || DE
thus ABC = 2x = 65 where x = 65/2 = 32.5
Eleanor has £50. Trevor takes £y. Write an expression for how much Eleanor has got left.
Answer:
50-y
Step-by-step explanation:
Hope this helps :).
Which statememt best describes the value of .[tex]8[/tex]
Answer:
if you have rational value then 4/5, this is equal to .8
tonight's attendance was 100 more than double the attendance last night. If 500 attended tonight, how many attended last night?
Answer: 200
Step-by-step explanation: 200 doubled would be 400 and it says that tonights attendence was 100 more than the doubled which would add up and equal 500 (400+100=500) so 200 is your answer.
Which of the following represents, "The difference between a number and elght Is twenty-two"?
A. N-8=22
B. 8 - N= 22
C. 8 - 22 N
Answer:
A.
Step-by-step explanation:
The difference means subtraction. The number mean a variable which is N. Then it is 8 (is means equal sign). Then 22 is the answer. The answer is N-8=22.
Have a great day!
I got 445.1 as the answer because it says round to the nearest tenth so 446 is wrong. is 445.1 right ?
Answer:
yes your correct
Step-by-step explanation:
Whats 1 and 2
true
false
true/false
Answer:false true
Step-by-step explanation:
3 boys share £99. John gets twice as much as Robert and three times as much as Edward. How much does Edward get?
Answer:
£18
Step-by-step explanation:
Ratio is 6:3:2
(john:robert:edward)
added together is 11, divide 99 by 11 to get 9, multiply the ratio numbers by 9
54:27:18
Check answers:
27 times 2 = 54 yes
18 times 3 = 54 yes
54 + 27 + 18 = 99 yes
Since it goes John : Robert : Edward (edward is last) and 54:27:18 (18 is last)
Edward got £18
Find the missing factor A that makes the equality true
8x 3 =(−2x)(A)
Joshua delivered 30 hives to the local fruit farm. If the farmer has paid to use 5% of the total number of Joshua’s hives, how many hives does Joshua have in all?
Answer:
600 hives
Step-by-step explanation:
If 30 is 5% of the total number of hives Joshua has, then 5%x20=100%
So, 30x20=100%
30x20=600
hope it helped :)