Step-by-step explanation:
-6 = 2/9 x
2/9x = -6
x = (-6)×9/2
= -27
400,000+60,000+5,000+100
Answer:
[tex] 400,000 + 60,000 + 5,000 + 100 [/tex]
46510 (add the zero since there are no ones)
. Leah invested some money at 4.5% annual interest and $1000 more than four times that amount at 6%. Her total annual income from these two investments was $801. How much did she invest at each rate
Answer:
The amount invested are $2600 and $11400 respectively
Step-by-step explanation:
Let the first amount be x
Given:
(First Investment)
Principal (P1) = x
Rate (R1) = 4.5%
Time (T) = 1 year
(Second Investment)
Principal (P2) = 4x + 1000
Rate (R2) = 6%
Time (T) = 1 year
Income = $801
Calculating the income from the first investment;
[tex]I_1 = \frac{P_1R_1T}{100}[/tex]
Substitute values for P1, R1 and T
[tex]I_1 = \frac{x * 4.5 * 1}{100}[/tex]
[tex]I_1 = \frac{4.5x}{100}[/tex]
Calculating the income from the second investment;
[tex]I_2 = \frac{P_2R_2T}{100}[/tex]
Substitute values for P2, R2 and T
[tex]I_2 = \frac{(4x + 1000) * 6 * 1}{100}[/tex]
[tex]I_2 = \frac{6(4x + 1000)}{100}[/tex]
[tex]I_1 + I_2 = Annual\ Income[/tex]
So:
[tex]\frac{4.5x}{100} + \frac{6(4x + 1000)}{100} = 801[/tex]
Multiply through by 100
[tex]100 * \frac{4.5x}{100} +100 * \frac{6(4x + 1000)}{100} = 801 * 100[/tex]
[tex]4.5x +6(4x + 1000) = 801 * 100[/tex]
[tex]4.5x +24x + 6000 = 80100[/tex]
Collect Like Terms
[tex]4.5x +24x = 80100 - 6000[/tex]
[tex]28.5x = 74100[/tex]
Divide through by 28.5
[tex]x = \frac{74100}{28.5}[/tex]
[tex]x = \$2600[/tex]
Recall that; the second invest
Amount Invested = 4x + 1000
This gives
[tex]Amount = 4 * \$2600 + 1000[/tex]
[tex]Amount = \$11400[/tex]
Hence;
The amount invested are $2600 and $11400 respectively
La suma de los ángulos interiores de un dodecágono es: a) 1900 b) 1800 c) 1950 d) 1960 e) 2000
Answer:
La suma de los ángulos interiores de un dodecágono es 1800°
Step-by-step explanation:
Un dodecágono es un polígono (figura plana delimitada por lados rectos, creando una figura cerrada) formado por 12 lados, 12 vértices y por consiguiente, 12 ángulos interiores.
Los ángulos interiores de un polígono son los ángulos delimitados por dos lados y que se encuentran dentro del polígono.
Los polígonos convexos son aquellos en los cuales todos los ángulos del polígono miden menos de 180º y la suma de los ángulos interiores es determinada por el número de lados que posee el polígono de la siguiente manera: 180°*(n-2)
Entonces, la suma de los ángulos interiores de un dodecágono se calcula como: 180*(12-2)= 1800
La suma de los ángulos interiores de un dodecágono es 1800°
determine the quotient of 1 3/4÷2/5
Answer:
Step-by-step expl1 3/4 / 2/5 = 35
8
= 43
8
= 4.375
Pls i need help with this
Answer:
48
Step-by-step explanation:
surface area is the outside of everything.
The radiator in a car is filled with a solution of 70 per cent antifreeze and 30 per cent water. The manufacturer of the antifreeze suggests that for summer driving, optimal cooling of the engine is obtained with only 50 per cent antifreeze. If the capacity of the raditor is 4.7 liters, how much coolant (in liters) must be drained and replaced with pure water to reduce the antifreeze concentration to 50 per cent?
Answer:
0.94 liters antifreeze is drained out and replaced with water to get a concentration to 50 per cent of the solution.
Step-by-step explanation:
Total amount of the solution is 4.7 liters.
It contains 70 percent antifreeze = 70% * of 4.7 = 3.29 liters of antifreeze
It contains 30 percent water = 30% * of 4.7= 1.41 liters water
For the solution to have 50 % antifreeze it must contain
4.7 * 50%= 2.35 antifreeze.
We have 3.29 liters and we want to have 2.35 liters of antifreeze
Therefore we will (3.29-2.35 =)0.94 liters drained out and replace it with water to get a concentration to 50 per cent.
A snack company can pack 16 granola bars in a box. How many boxes are need for 800 granola bars
Answer:
50 granola bars
Step-by-step explanation:
800 divided get 50 bars
Which statement correctly describes the characterization in this excerpt? Indirect characterization is used to show that Steve is confused and lonely. Indirect characterization is used to show that Steve is isolated and worried. Direct characterization is used to show that Steve is confused and lonely. Direct characterization is used to show that Steve is isolated and worried.
Answer:
The answer is B
Step-by-step explanation:
Answer: B- Indirect characterization is used to show that Steve is isolated and worried.
Step-by-step explanation:
What is the least common multiple of 2, 5, and 10?
Submit Answer
Answer:
10
Step-by-step explanation:
The least common multiple is the smallest number that all 3 numbers will multiply properly to. In this case it is 10, because it is a multiple of all three of the numbers (2x5, 5x2, 10x1) and is the smallest as it cannot go below the largest number (10)
Hope this helped!
Answer:
10
Step-by-step explanation:
The least common multiple 10 is a product of common & odd prime factors between the integers which is divisible by each one an integer of this same group.
5. One January morning, the temperature was -8 degrees. By the afternoon, it rose 5 degrees. What was the temperature in the afternoon? (Only enter a number answer) * Your answer This is a required question Pa Back Next ever submit passwords through Google Forms.
Answer: -3
Step-by-step explanation:
96,240 is divisible by 2, 4, and 8. true or false?
Answer:
false
Step-by-step explanation:
96,240
a-9
2,3
8,9
mZFEG=6x - 7 and mZFED=2x +41 , find the mZDEG
Answer:
this might be the answer
What is the value of |-25|?
Answer:
25
Step-by-step explanation:
this answer is 25, essentially you just remove the negative hope this helps
please respond ASAP!!!! in the diagram below, AC is parallel to DF is parallel to BH and CB is parallel to FE. (look at image) a. Find four similar triangles. Explain how you know that they are all similar. b. Using the similar triangles you found in part (a), complete the following extended proportion (look at image)
Answer:
SImilar triangles are: ABC, DBG, DEF, and BEH.
Step-by-step explanation:
There are clealy four well defined triangles in the image:
ABC, DBG, DEF, and BEH.
Given the parallelism of the mentioned lines, one can conclude that when those lines parallel to different sides of the triangle ABC for example (to sides AC and CB), intersect, they will also intersect giving similar angles . That is: angle ACB must equal angle DGB, angle DFE, and angle BHE. Apart from that, the angles around the bases of all four triangles must be equal since they come from parallel lines. That is:
(1) angles BAC, BDG, BDF, and EBH must be equal to each other, and
2) angles ABC, DBG, DEF, and BEH must be equal to each other.
Therefore we have four triangles with congruent angles, which make them similar triangles.
Although the rules of probability are just basic facts about percents or proportions, we need to be able to use the language of events and their probabilities. Choose an American adult aged 20 years and over at random. Define two events:
A= the person chosen is obese
B= the person chosen is overweight, but not obese.
According to the National Center for Health Statistics,
P(A)=0.38
P(B)=0.33
1. Explain why events A and B are disjoint.
a. Because event B rules out obese subjects.
b. Because an obese person is certainly overweight.
c. Because some people may be considered obese and overweight.
d. Because some people are not obese nor overweight.
2. Say in plain language what the event "A or B" is.
a. "A or B" is the event that the person chosen is overweight or obese.
b. "A or B" is the event that the person chosen is overweight and obese.
c. "A or B" is the event that the person chosen is overweight or obese or both.
d. "A or B" is the event that the person chosen is not obese or not over weight.
Answer:
a. Because event B rules out obese subjects.
b. "A or B" is the event that the person chosen is overweight and obese.
Step-by-step explanation:
1. Disjoint events are those events which do not have the same elements. Event A and event B can only be disjoint if they both have separate subjects that is event A contains obese persons and event B contains overweight persons.
Therefore they are only disjoint when set B rules out ( leaves out) obese people. So choice a is the best answer.
Disjoint events are also called mutually exclusive events
2. In statistics the symbol or means including. Event A or B would mean including both types of person obese and overweight. In mathematical expression it is written as
P (A or B) = P (A) + P (B) For mutually exclusive events. ( disjoint events)
Bacteria vary somewhat in size, but a diameter of 1.5 μ m is not unusual.
a. What would be the volume (in cubic centimeters) of such a bacterium, assuming that it is spherical? Express your answer using two significant figures.
b. What would be the surface area (in square millimeters) of such a bacterium, assuming that it is spherical? Express your answer using two significant figures.
Answer:
a) 1.8 × 10^-12 cm³ or 1.8 × 10^-12 cubic meters
b) 7.1 × 10^-6 mm² or 7.1 × 10^-6 square millimeters
Step-by-step explanation:
a) We are assuming that the shape of the bacteria is a sphere.
Hence, Volume of the Sphere(Bacteria) = 4/3 × π × r³
Diameter = 1.5 μm
Radius = Diameter/2 = 1.5μm/2
= 0.75μm
We are told that the volume should be in cubic centimeters
Converting 0.75μm to centimeters
1 μm = 1 × 10^-4 cm
0.75 μm =
Cross Multiply
= 0.75 μm × 1 × 10^-4 cm/ 1 μm
= 0.000075cm
Volume of the Sphere(Bacteria) = 4/3 × π × r³
= 4/3 × π × (0.000075)³
= 1.767145867 × 10^-12 cm³
Approximately as 2 significant figures = 1.8 × 10^-12 cm³
b) The formula for the Surface area of a Sphere = 4πr²
Diameter = 1.5 μm
Radius = Diameter/2 = 1.5μm/2
= 0.75μm
We are told that the surface area should be in square millimeters
Converting 0.75μm to millimeters
1 μm = 0.001 mm
0.75 μm =
Cross Multiply
= 0.75 μm ×0.001mm/ 1 μm
= 0.00075mm
Surface Area of a Sphere
= 4 × π × r²
= 4 × π × 0.00075²
= 7.06858 ×10^-6 mm²
Approximately to 2 significant figures
= 7.1 × 10^-6 mm²
there are eight more women than men in a theater group. The group has a total of 44 members. How many men and how many women are in the group?
The number of men and women in the group will be 18 and 26 respectively.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that there are eight more women than men in a theater group. The group has a total of 44 members.
Let the number of men in the group be {x}. Then, the number of women will be (x + 8). We can write -
x + (x + 8) = 44
2x = 36
x = 18
Number of women : x + 8 = 26
The number of women in the group will be 26.
Therefore, the number of men and women in the group will be 18 and 26 respectively.
To solve more questions on algebraic expressions, visit the link below -
brainly.com/question/1041084
#SPJ2
please helppp
copying an angle
copy angle def to the line so that S is the vertex.
The tale with be complete when you have constructed and angle with vertex S that is congruent to angle def
Answer:
Step-by-step explanation:
To copy an angle we follow the following steps,
1). Draw a working line with the help of a straightedge.
2). Now we put a point S as the vertex of the angle.
3). Construct an arc with a radius 'r' (any length ) from vertex S which intersects the working line say at V.
4). With the same radius we draw an arc from point E which intersects the line ED and EF at G and H respectively.
5). Mark an arc from point G which intersects line EF at I.
6). Measure the distance between points G and I with compass and mark an arc from point V which intersects the previous arc say at U.
7). Now join the points S and U.
Hence we copy any angle.
What are the steps, in order, needed to solve 3x + 4 = 13? Divide by 3, and then subtract 4. Multiply by 3, and then add 4. Add 4, and then multiply by 3. Subtract 4, and then divide by 3.
Answer:t
Step-by-step explanation:
3x + 4 = 13
3x = 9
x = 3
Option 3
Answer:
subtract 4 then divide by three
Step-by-step explanation:
Which point on the number line best represents -2/2
Answer:
B
Step-by-step explanation:
Consider the following linear combination: Z = 4X - 5Y with E(X) = 3.2, V(X) = 1.3, E(Y) = 4.6, V(Y) = 5.1, and Cov (X, Y) = 0. What is the correct value of E(Z)? A. -20.3 B. -10.2 C. -6.7 D. 10.2 E. 20.3
Answer:
Option B.
Step-by-step explanation:
The given values are
E(X) = 3.2, V(X) = 1.3, E(Y) = 4.6, V(Y) = 5.1, and Cov (X, Y) = 0.
The given linear combination is
[tex]Z=4X-5Y[/tex]
Now,
[tex]E(Z)=E(4X-5Y)[/tex]
It can be written as
[tex]E(Z)=4E(X)-5E(Y)[/tex]
Now, substitute the given values.
[tex]E(Z)=4(3.2)-5(4.6)[/tex]
[tex]E(Z)=12.8-23[/tex]
[tex]E(Z)=-10.2[/tex]
Therefore, the correct option is B.
Anna says that x 6/4× x 3/4=x 18/16 but Tim says that x 6/4× x 3/4= x 9/4 Who is correct and why?
Answer:
Anna
Step-by-step explanation:
First of all, let's look at both equations. 6x/4 multiplied by 3x/4 will equal 18x/6. Anna's equation is correct, but let's look at Tim's equation. Tim says that the answer would be 9x/4. However, he had incorrectly simplified it. Simplifying 18x/16 would be 9x/8, not 9x/4.
Answer:
Anna
Step-by-step explanation:
First of all, let's look at both equations. 6x/4 multiplied by 3x/4 will equal 18x/6. Anna's equation is correct, but let's look at Tim's equation. Tim says that the answer would be 9x/4. However, he had incorrectly simplified it. Simplifying 18x/16 would be 9x/8, not 9x/4.
simplify the expression where possible (x^3 y^2) ^4
Answer:
[tex]x^{12} y^{8}[/tex]
Step-by-step explanation:
[tex](x^{3} y^{2})^{4}[/tex] You must multiply the outside exponent with the inside exponents.
[tex]x^{12} y^{8}[/tex]
A short order cook can prepare 40hamburgers in 30 minutes
Answer:1.33333333333 hamburgers every minute
Step-by-step explanation:40 burgers ÷ 30minutes = 1.333333 burgers every minute
Solve 2g - 13 = 3.
g=
Answer:
8
Step-by-step explanation:
2g = 3 + 13
2g = 16
g = 16/2
g = 8
Answer:
g=8
Step-by-step explanation:
2g-13=3
2g-13+13=3+13
2g=16
2g/2=16/2
g=8
Find the p-value using Excel (not Appendix D): (Round your answers to 4 decimal places.) p-value (a) Right-tailed test t = 1.465, d.f. = 11 (b) Two-tailed test t = 2.522, d.f. = 12 (c) Left-tailed test t = –1.952, d.f. = 22
Answer:
(a) 0.0855
(b) 0.0268
(c) 0.0319
Step-by-step explanation:
The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or greater than what was truly observed.
A small p-value (typically p ≤ 0.05) specifies sturdy proof against the null hypothesis (H₀), so we discard H₀. A large p-value (p > 0.05) specifies fragile proof against the H₀, so we fail to discard H₀.
(a)
Use the Excel function "=T.DIST.RT(1.465,11)" to compute the right-tailed p-value for a test statistic of, t = 1.465 and s degrees of freedom of, df = 11.
p-value = 0.0855
(b)
Use the Excel function "=T.DIST.2T(2.522,12)" to compute the two-tailed p-value for a test statistic of, t = 2.522 and s degrees of freedom of, df = 12.
p-value = 0.0268
(c)
Use the Excel function "=T.DIST(-1.952,22,TRUE)" to compute the left-tailed p-value for a test statistic of, t = -1.952 and s degrees of freedom of, df = 22.
p-value = 0.0319
the product of twenty and a number
The product of twenty and a number means; 20 * n
Whatever the number equals is what we have to multiply 20 too.
Best of Luck!
find the measure of the third angle of a triangle if the measures of the other two angles are given 118.6 and 42.3
Answer:
[tex]\boxed{\bold{\huge{\boxed{\mathrm{Third\ Angle = 19.1\ degrees}}}}}[/tex]
Step-by-step explanation:
The interior angles of a triangle add up to 180 degrees. So, to find an unknown interior angle, we need to subtract rest of the two angles from 180 degrees.
So,
Third Angle = 180 - 118.6 - 42.3
Third Angle = 19.1 degrees
evaluate the 1/3 of 10.25
[tex]\textsf{Hey there!}[/tex]
[tex]\textsf{The word OF means MULTIPLY in mathematical terms }[/tex]
[tex]\mathsf{So, \ your\ equation\ becomes: \dfrac{1}{3}\times 10.25 }[/tex]
[tex]\mathsf{You\ can\ convert\ \dfrac{1}{3}\ into\ a\ decimal\ and\ solve\ from \ there}[/tex] [tex]\textsf{(if you want to)}[/tex]
[tex]\mathsf{\dfrac{1}{3} \times 10.25=3.416667}[/tex]
[tex]\boxed{\textsf{Thus your answer is: \boxed{\huge\text{\bf{3.416667}}}}}}\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Kevin and Randy Muise have a jar containing 100 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $15.00. How many of each type of coin do they have?
Answer:
what do we know?
we know that a quarter is $0.25 and a nickel is $0.05
4x$.25 = $1
20x$0.05 = $1
and we have 84 coin
n = the number of nickels
q = the number of quarters
(1) n + q = 84 and
(2) 5*n + 25*q = 100*11.80 (always work in cents)
(3) 5*n + 25*q = 1180
Now substitute n from equation (1) into equation (3) and get
5*(84 - q) + 25*q = 1180
420 - 5*q + 25*q = 1180
20*q = 1180 - 420
20*q = 760
q = 38
Then using equation (1), plug in q
n + 38 = 84
n = 46
now check these values.
Is (.05*38 + .25*46 = 11.80)?
Is (2.30 + 9.50 = 11.80)?
Is (11.80 = 11.80)? Yes
Step-by-step explanation:
Plz Mark me as brainliest
Answer: 7 quarters and 19 nickels
Step-by-step explanation: