Answer:
x = 43.2
Step-by-step explanation:
We're given that 27 is 37.5% of x, so we can set up an equation:
Divide 27 by (1 - 0.375) since it is a percent decrease:
27/0.625 = 43.2
RST is dilated about the origin,O, to creat R’S’T’. Point R is located at (3,9) and point R is located at (1.2, 3.6). Which scale factor was used to perform the dilation
Answer:
The scale factor used is 0.4
Step-by-step explanation:
Given
[tex]R = (3,9)[/tex]
[tex]R' = (1.2, 3.6)[/tex]
Required
Determine the scale factor of RST
The question can be solved using scale factor formula
Scale factor is calculated as thus;
[tex]Scale\ Factor = \frac{New\ Length}{Old\ Length}[/tex]
In this case; R' is the new length and R is the old length
[tex]Scale\ Factor = \frac{R'}{R}[/tex]
Substitute the values of R and R'
[tex]Scale\ Factor = \frac{(1.2,3.6)}{(3,9)}[/tex]
Factorize the denominator
[tex]Scale\ Factor = \frac{(1.2,3.6)}{2.5(1.2,3.6)}[/tex]
[tex]Scale\ Factor = \frac{1}{2.5}[/tex]
[tex]Scale\ Factor = 0.4[/tex]
Hence, the scale factor used is 0.4
P(x) = 2x^4 - x^3 + 2x^2 - k where k is an unknown integer. P(x) divided by (x+1) has a remainder of 2. What is the value of k?
Answer:
k = 3
Step-by-step explanation:
Please help! Having a hard time with these, appreciated if you do :)
Answer:
Hey there!
Here's the first question.
Let l be the length, and w be the width.
Thus, we have 5w=l+4, or 5w-4=l.
The perimeter is 76, so 2l+2w=76.
We see that l=5w-4, so substitute 5w-4 for l.
2(5w-4)+2w=76
10w-8+2w=76
12w-8=76
12w=84
w=7
Thus, the length is 5(7)-4, or 31.
Option C is correct.
Here is the second question)
Let x be the larger angle and y be the smaller angle.
Supplementary angles add to 180 degrees.
x+y=180
x=3y
Similar to the first problem change all the x's into 3y's
3y+y=180
4y=180
y=45
x=135
So the two angles are 45 and 135 and they add to 180 degrees (Choice D)
Hope this helps :)
Which of the following terms correctly describe the object below?
Check all that apply.
A. Polygon
B. Solid
C. Prism
D. Triangle
E. Pyramid
F. Polyhedron
Answer:
Pyramid, solid, polyhedron
Step-by-step explanation:
Took the quiz
A pyramid is a three-dimensional polyhedron with a polygonal base and three or more triangle-shaped faces that meet at a point above the base. The correct options are B, E, and F.
What is a pyramid?A pyramid is a three-dimensional polyhedron with a polygonal base and three or more triangle-shaped faces that meet at a point above the base. The triangle sides are referred to as faces, while the point above the base is referred to as the top.
The given object can be described as a solid, pyramid and a polyhedron as well.
Hence, the correct options are B, E, and F.
Learn more about Polyhedron:
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expand the following 4 (x - 1)
Answer:
4x - 4
Step-by-step explanation:
4 × x = 4x
4 × -1 = -4
4x - 4
Answer:
4x-4
Step-by-step explanation:
4(x-1) 4*x-1*44x-4Use the given information to prove that RSU=TSV
Answer:
Statement, Reason
Given segment RV = segment TU, Given
m∠R = m∠T, Given
Segment RS ≅ segment ST, Base angles theorem
ΔRSV ≅ ΔTSU, SAS rule of congruency
Segment SV ≅ segment SU, CPCTC
VU ≅ UV, Reflexive property
RU = RV + VU, TV = TU + UV, Addition of segments
RV + VU ≅ TU + UV, Addition property of equality
RU ≅ TV, Transitive property of addition
ΔRSU ≅ ΔTSV, SSS rule of congruency
Step-by-step explanation:
Where:
SAS- Side Angle Side
CPCTC -Congruent Parts of Congruent Triangles are Congruent
SSS -Side Side Side
Abby earns $7 per hour working as a cashier at a cafe. She earned $ blank in a week in which she worked 28 hours. She earned $ blank in a month which she worked 112 hours.
Answer:she earned 196$ in a week in which she worked 28 hours. she earned 784$ in a month which she worked 112 hours.
196$ and 784$ are your answers
Step-by-step explanation:
PLZ HELP! QUICK! WILL MARK BRAINLIEST!!! 20 POINTS!!! A portion of the Quadratic Formula proof is shown. Fill in the missing statement.
Answer:
D.
Step-by-step explanation:
After the third step, take the square root of both sides.
Third Step:
[tex](x+\frac{b}{2a})^2=\frac{b^2-4ac}{4a^2}[/tex]
Thus, the fourth step is:
[tex]\sqrt{(x+\frac{b}{2a})^2}=\sqrt{ \frac{b^2-4ac}{4a^2}} }[/tex]
The left side cancels:
[tex](x+\frac{b}{2a})=\pm\sqrt{ \frac{b^2-4ac}{4a^2}} }[/tex]
D.
Answer:
x + [tex]\frac{b}{2a}[/tex] = ±[tex]\sqrt \frac{b^{2} - 4ac }{4a^{2} }[/tex] aka choice D
Step-by-step explanation:
Write the equation of the line in Point-Slope Form given the information below. Slope=-1/5 y-intercept=-3
Answer:
your correct answer is y=-1/5-3
Step-by-step explanation:
The linear equation of the line is y = -1/5x - 3 and y + 3 = -1/5(x - 0)
How to determine the line equation?The slope is given as:
m = -1/5
The y-intercept is given as:
c = -3
A linear equation in slope intercept form is represented as:
y = mx + c
So, we have:
y = -1/5x - 3
The equation in point slope form is calculated as follows:
y = -1/5x - 3
Add 3 to both sides
y + 3 = -1/5x
Express -1/5x as -1/5(x)
y + 3 = -1/5(x)
Subtract 0 from x
y + 3 = -1/5(x - 0)
Hence, the linear equation of the line is y = -1/5x - 3 and y + 3 = -1/5(x - 0)
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Gavin combines 32 ounces of water and 7.15 ounces of lemon juice in a pitcher to make lemonade. Which is the
most reasonable estimate for the amount of liquid in the pitcher?
39 ounces
42 ounces
O 45 ounces
47 ounces
Answer:
Estimated amount of liquid in the pitcher = 39 ounces (Approx)
Step-by-step explanation:
Given:
Amount of water = 32 ounces
Amount of lemon juice = 7.15 ounces
Find:
Estimated amount of liquid in the pitcher
Computation:
Estimated amount of liquid in the pitcher = Amount of water + Amount of lemon juice
Estimated amount of liquid in the pitcher = 32 ounces + 7.15 ounces
Estimated amount of liquid in the pitcher = 39.15 ounces
Estimated amount of liquid in the pitcher = 39 ounces (Approx)
Two numbers are in the ratio 3:2. if 5 subtracted to each
the new ratio becomes 2:3 find the numbers.
> Solution
Answer:
3 and 2
Step-by-step explanation:
The ratio of the 2 numbers = 3 : 2 = 3x : 2x ( x is a multiple )
When 5 is subtracted from both , that is
3x - 5 : 2x - 5 = 2 : 3
Expressing the ratio in fractional form
[tex]\frac{3x-5}{2x-5}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3(3x - 5) = 2(2x - 5) ← distribute both sides
9x - 15 = 4x - 10 ( subtract 4x from both sides )
5x - 15 = - 10 ( add 15 to both sides )
5x = 5 ( divide both sides by 5 )
x = 1
Thus the 2 numbers are
3x = 3(1) = 3 and 2x = 2(1) = 2
Graphically, a point is a solution to a system of two inequalities if and only if the point
o lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality
O lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality
O lies in the shaded regions of both the top and bottom inequalities
x does not lie in the shaded region of the top or bottom inequalities.
Intro
Done
Answer:
Lies in the shaded regions of both the top and bottom inequalities.
Step-by-step explanation:
The point of solution for BOTH systems of inequalities must work for both equations. Therefore, the point has to lie in both top and bottom shaded regions or it won't work for both, but just one.
Answer:
C: Lies in the shaded regions of both the top and bottom inequalities.
Step-by-step explanation:
Hope this helps!
Identify whether the relationship between ∠a and ∠b in the image below is complementary, linear pair/supplementary, adjacent, or vertical.
Answer:
Adjacent
Step-by-step explanation:
Adjacent angles are angles that are side-by-side.
Answer:
adjacent
Step-by-step explanation:
Adjacent angles are two angles that have a common side but no common interior points.
X^2-5x-8=0 find the roots (zeros)
Answer:
[tex]x_1=\dfrac{5-\sqrt{57}}{2}\ ,\quad x_2=\dfrac{5+\sqrt{57}}{2}[/tex]
Step-by-step explanation:
[tex]x^2-5x-8=0\\\\a=1\,,\ b=-5\,,\ c=-8\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-(-5)\pm\sqrt{(-5)^2-4\cdot1\cdot(-8)}}{2\cdot1}=\dfrac{5\pm\sqrt{25+32}}{2}=\dfrac{5\pm\sqrt{57}}{2}[/tex]
Determine whether the given source has the potential to create a bias in a statistical study: An article in Journal of Nutrition noted that chocolate is rich in flavonoids. The article reports that "regular consumption of foods rich in flavonoids may reduce the risk of coronary heart disease." The study received funding from the candy company, and the Chocolate Manufacturers Association. Identify and explain at least one source of bias in the study describe. Then suggest how the bias might have been avoided?
Answer: The source has the potential to create bias because it was sponsored by companies that will benefit from it. This might have been avoided by stoping these companies from sponsoring the study.
Explanation:
A study is biased if its results or process is not objective, which means they have been influenced by a specific perspective or interest, and the results are inaccurate. One of the factors that causes bias is the participation of entities with economic interests in the study.
This occurs in the case described because a candy and a chocolate company sponsored the studies, and therefore results might be modified to benefit the companies. According to this, the study has the potential of being biased, and the main source is the fact it was sponsored by companies with interests.
Besides this, this can be avoided if the study does not accept sponsoring by companies with specific interests. In this way, the study will be objective, and the results will not be influenced, which means the information provided by the study would be accurate and credible.
please simplify this
Answer:
root 10
Step-by-step explanation:
Para repartir en partes iguales 5 alfajores entre 3 niñas y niños,sin que sobre nada,ana dibujo todos los alfajores y "corto" cada uno en 3 partes igualdad. Despues,indico que le corresponde 1/3 de cada alfajor para cada niña y niño recibe 5 pedacitos de 1/3 de alfajor,es décir 5/3. Departing 7 alfajore entre 4 niñas y niños de manera que todos reciban lo mismo y no quede nada sin repartir
Answer:
Para compartir 7 alfajores entre 4 niños y niñas para que no quede nada, a cada niño y niña se les debe dar 7/4 alfajores
Step-by-step explanation:
Al compartir 5 alfajores, entre 3 niños y niñas, los alfajores se cortan en tres partes cada uno de manera que cada niño y niña recibe 5/3 piezas de alfajore
Luego, la pregunta es, ¿cómo se pueden compartir 7 alfajores entre 4 niñas y niños sin que quede nada?
Por el proceso de compartir ejemplos, obtenemos;
Cada alfajores debe dividirse en el número total de niños y niñas, que son cuatro piezas cada uno.
El número total de 1/4 piezas = 7 × 4 = 28 piezas de 1/4 alfajores
Cada niño y niña recibe 7 de las piezas de 1/4 alfajores
El número total de alfajores, n, compartidos entre los cuatro niños y niñas viene dado por la expresión;
n = 7 (1/4 alfajores) × 4 = 28 piezas de 1/4 alfajores
Por lo tanto, para compartir 7 alfajores entre 4 niños y niñas para que no quede nada, cada niño y niña debe recibir 7/4 alfajores.
In this activity, you will find out how many cars the baseball team needs to wash before it starts making a profit. The team spent $75 setting up the car wash, and they are charging $5 per car for a wash.
Answer:
16
Step-by-step explanation:
75/5 is 15 and in order to start making a profit than you have to wash 16 cars
hope this helps
Answer:
Step-by-step explanation:
The idea is to find out after what number car washed will they begin to make money. That means that this is an inequality. If they charge $5 per car, and the number of cars is our uknown, then the expression for that charge is 5x. If they need to make more than what they spent on setting up, they want to make more than $75, which looks like this: > 75. Putting that together:
5x > 75 and solving for x,
x > 15.
That means that they have to wash 15 cars to just break even and starting on the 16th car on up, they will see a profit.
Can someone help me with this question please.....
Answer:
9g/cm3 (g/ml)
Step-by-step explanation:
d(roe)=m/v=63g/7cm3=9g/cm3(g/ml)
d(roe)=m/v=117g/13cm3=9g/cm3(g/ml)
Step-by-step explanation:
We can get the density either by converting both the masses and the volumes or we solve them like like that using the formula Density = P = Mass/Volume. After converting both mass and volume, your unit will be in kg/m^3..........Without converting, your unit will be in g/cm^3Which of the following are possible side lengths of a triangle? (select all that apply) a. 1, 1, 2 b. 3, 4, 5 c. 5, 5, 11 d. 7, 8, 12 e. 4, 4, 4 f. 4, 8 ,13
Choice B
Choice D
Choice E
=================================================
Explanation:
Use the triangle inequality theorem. This is the idea where adding any two sides must lead to a result larger than the third side; otherwise, a triangle is not possible. I recommend cutting out strings of paper of these lengths to confirm that you can make a triangle or not.
----------------------------------
For choice A, a triangle is not possible since the first two sides add to 1+1 = 2, but this isn't larger than the third side of 2 units. All we can do really is just form a straight line and not a triangle. We can rule choice A out.
----------------------------------
Choice B is a triangle. Specifically it is a 3-4-5 right triangle that is famous with the pythagorean theorem. Note how...
3+4 = 7 is larger than 54+5 = 9 is larger than 33+5 = 8 is larger than 4so adding any two sides of this triangle leads to the sum being larger than the third remaining side. Choice B is one of the answers.
----------------------------------
Choice C is not a triangle. We have 5+5 = 10 but that isn't larger than 11. We can rule this out.
----------------------------------
Choice D is a triangle since
7+8 = 15 is larger than 127+12 = 19 is larger than 88+12 = 20 is larger than 7any two sides sum to a value larger than the third side
----------------------------------
Choice E is a triangle. We have an equilateral triangle with all sides the same length, and all angles the same value (60 degrees). This is another answer.
----------------------------------
Choice F is similar to choice C. We have the first two sides add to something smaller than the third side (4+8 = 12 is smaller than 13). We can rule this out.
Use stigma notation to represent the dune of the first seven terms of the following sequence: -4, -6, -8, ...
Answer:
7Σn=1 (-2n - 2)
Step-by-step explanation:
Sigma notation:
The top number is stop at n = 7 (inclusive)
The bottom number is start at n = 1
The equation is the expression for each term in the sum
Find explicit formula
d = -2, a₁ = -4
-4 - 2(n - 1)
-4 - 2n + 2
-2n - 2
7 goes on top of Σ
n = 1 goes on the bottom of Σ
-2n - 2 goes to the right of Σ
Mary has $311.75 to convert into yen. The currency exchange she is using charges a surcharge of 6% when converting currency. About how many more yen will Mary receive if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate?
Answer:
¥1,512.49
Step-by-step explanation:
Here is the complete question:
The exchange rate between non-fixed currencies continually fluctuates. The chart below shows the exchange rate of the US dollar to the Japanese yen over the course of six days.
Day
$:¥
Monday
1:88.6122
Tuesday
1:90.8305
Wednesday
1:87.5507
Thursday
1:91.2323
Friday
1:92.7120
Saturday
1:89.4477
Mary has $311.75 to convert into yen. The currency exchange she is using charges a surcharge of 6% when converting currency. About how many more yen will Mary receive if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate?
Solution:
Of all the days of the week, the most favorable exchange rate day is Friday where the exchange rate is ¥92.7120 and the lease favorable exchange rate day is on Wednesday where the exchange rate is ¥87.5507.
If Mary converted the currency, she will receive only 94% of her money excluding 6% surcharge.
Favorable day(Friday)= ($311.75) x (92.7120/1) x 0.94
=¥27,168.788
Least Favorable day(Wednesday) =($311.75) x (87.5507) x 0.94
=¥25,656.294
The difference between most favorable day and least favourable day = ¥27,168.788 - ¥25,656.294
= ¥1,512.49
Answer:
¥1,513
Step-by-step explanation:
Positive numbers are located to the
left of zero on the number line.
O True
O False
If a number is located farther right on
the number line than another, then it
is larger
O True
O False
Answer:
1. False
2. True
Step-by-step explanation:
What is the median of the data set?
|2x-1|=2 find the value of x
Answer:
x = 3/2, -1/2 OR x = 1.5, -0.5 OR x = 1 1/2, -1/2
Any of these above work!
At 3:20, what is the degree measure of the acute angle formed by the hour hand and the minute hand on a 12-hour analog clock?
Answer:
20 deg
Step-by-step explanation:
A 12-hour analog clock face has 12 hour markers in 360 degrees, so the angle between one hour and the the next hour is 30 deg.
At 3:00 the hour hand makes a 90 deg angle with the 12 marker.
At 4:00 the hour hand makes a 120 degree angle with the 12 marker.
At 3:20, the hour hand has gone 20/60 of the way from the 3 marker to the 4 marker, so it has gone 1/3 of the way from 90 degrees to 120 degrees with the 12 marker. 1/3 * 30 + 90 = 100 deg. The hour hand is making a 100-deg angle with the 12 marker.
At 3:20, the minutes hand is at the 4 marker, so it makes a 120-degree angle with the 12 marker.
The angle made by the hands is 120 deg = 10 deg = 20 deg.
Answer:
its not 20 i did it cus im also doing aops not right
Step-by-step explanation:
what is an interept?
Answer:
Where either the graph crosses the x-axis when y = 0 or where the graph crosses the y-axis when x = 0.
Step-by-step explanation:
Intercepts are the point where they touch/cross an axis.
Answer:
The intercept of a line is the y-value of the point where it crosses the y-axis.
Step-by-step explanation:
please hellp please helllp
Answer:
a) y = [tex]\frac{7}{17}[/tex]
b) x = 4
Step-by-step explanation:
a) [tex]\frac{3y+2}{5} =4y-1[/tex]
3y + 2 = 20y - 5
2 = 20y - 3y - 5
2 = 17y - 5
2 + 5 = 17y
7 = 17y
y = [tex]\frac{7}{17}[/tex]
b) x² + 5 = 21
x² = 21 - 5
x² = 16
x = √16
x = 4
Check the attachment... hope it helps :)
x= +4 or -4
y= 7/17
Construct an inscribed circle in triangle PQR by finding the incenter of the triangle.
Answer:
Check it below
Step-by-step explanation:
Hello!
By definition, the intercept of the 3 bisectors, within a triangle is the Incenter. So let's get started, by tracing three bisectors.
In the triangle PQR::
Use a compass, open its legs with a little more than half of [tex]\overline{PQ}[/tex] . Place the needle point in the vertex of P. Mark!Do the same, placing the needle point in Q, following [tex]\overline{QP}[/tex] direction. MarkRepeat it with the other triangle's line segment, namely:[tex]\overline {QR},\:\overline{PR}[/tex]
4.Trace with a ruler, from each intersection point a line. You'll trace three lines then.
5. Place the compass' needle point in this intersection point, (inside the triangle) with a hinge up to the triangle side, draw the circle inscribed.
Answer:
edg but few yrs later
Step-by-step explanation:
A scientist measured the amounts of fertilizer given to plants, the heights to which the plants grew, and the amount of fruit the plants produced. 2 2-column tables with 5 rows. For table 1, column 1 is labeled Fertilizer (ounces) with entries 175, 192, 130, 128, 184. Column 2 is labeled Height of tree (inches) with entries 50, 52, 36, 35, 50. For table 2, column 1 is labeled Fertilizer (ounces) with entries 175, 192, 130, 128, 184. Column 2 is labeled amount of fruit produced (pounds) with entries 112, 115, 87, 85, 112. The scientist graphed the two sets of data and found that a positive correlation exists in each set. Which statement explains whether there is a relationship between the height of the tree and the amount of fruit produced. Although fertilizer is in both data sets and is positively correlated, only a weak correlation can exist between tree height and fruit yield. Although fertilizer is in both data sets and is positively correlated, it is impossible for any correlation to exist between tree height and fruit yield. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is likely that tree height and fruit yield are negatively correlated. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.
Answer:
d. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.
Step-by-step explanation:
The correlation refers to the relationship between two or more variables i.e how they are interrelated to each other. It can be positive, negative, perfect, etc
As we can see in the figure that in both the data sets the fertilizer contains the same values which depict that they are positively correlated with respect to the height of tree and fruit yield that derives that the height of tree and fruit yield is also positively correleated
Here positive correlation means that the two variables moving in a similar direction i.e if one variable increased so the other is also increased
Therefore the option d is correct
Answer:
D
Step-by-step explanation:
I got it right on the test.
Trust me