Answer:
x = -5
Step-by-step explanation:
add 14 to both sides:
x = -19 + 14
x = -5
An urn contains 19 red marbles, 29 blue marbles, and 43 yellow marbles. one marble is to be chosen from the urn without looking. what is the probability of choosing a red marble?
The probability of choosing a red marble is 1/6.
What is probability ?Probability is the chance of occurring a certain event out of total possible events that can order in a given situation.
According to the given question an urn contains 19 red marbles, 29 blue marbles, and 43 yellow marbles.
So there are total of ( 19 + 29 + 43 ) = 85 marbles.
∴ No. of sample space N(s) = 85.
No. of red marble N(red) = 19.
One marble is to be chosen from the urn without looking the probability of choosing a red marble P(red) is N(red)/N(s) which is
P(red) = 19/85
P(red) = 1/5.
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Zeke is making posters for the school play. He borrows 12 bottles of paint from the art teacher. Each bottle has 300 milliliters of paint. To make his posters really sparkle, he also brings 400 milliliters of glitter paint from home. How many liters of paint does he have in all?
Answer:
4 liters
Step-by-step explanation:
300 × 12 = 3600 ml
3600 + 400 = 4000 ml
1 liters = 1000 ml
liters to milliliters need to × 1000
milliliters to liters need to ÷ 1000
4000 ÷ 1000 = 4 liters
Caleb's vegetable garden yielded 48 pounds of bell
peppers. He gave of the yield to his neighbor, Jacob.
Caleb Sold to a local restaurant He saved the rest of
the bell peppers. How many pounds of bell peppers did
he give Jacob? How many pounds did he sell? How
many pounds did he save for himself?
Answer:
16 each
Step-by-step explanation:
Since you didn't say how much of the yield Jacob gave to the restaurant or the neighbor, I'm going to assume he kept an even share and gave them each the same share.
Assuming that, we would have to divide his harvest by 3
48/3 = 16
this means that 16 went to his neighbor, 16 to the restaurant and 16 were saved for himself.
Hope this helps! ^^
B
Set-up an equation and solve for x.
2x-12
H
C
x+9
12
D
+
|| || ||
0000
Answer:
2x – 12 + 12 = x + 9
2x = x + 9
x = 9
In exercises 21 and 22, find the indicated angle measure. (See photo)
Answer:
42°, 101°
Step-by-step explanation:
These answers come from the angle subtraction postulate.
Last year, Chau invested his money in two purchases. He purchased a certificate of deposit for 1000 that paid 2% interest per year and purchased 3000 in corporate bonds paying 7% interest per year.
The total interest earned at the end of first year is $250 and the percentage of interest for his total investment is 6.25%.
Given, Chau invested his money by purchasing the following:
a certificate of deposit for $1000 at the rate of 2% per year, and
corporate bonds for $3000 at the rate of 7% per year.
we know that simple interest is calculated by multiplying the amount invested P by the interest rate r times the number of years invested t.
therefore, I = P × r × t
a. The first investment has a principal of P = $1,000, r = 2% = 0.02, t = 1 yr
I₁ = 2000 × 0.04 × 1
I₁ = 40
The second investment has a principal P = $3,000, interest rate r = 7% = 0.07 and time t = 1yr
I₂ = 3000 × 0.07 × 1
I₂ = 210
Therefore, total interest = I₁ ₊ I₂
= 40 ₊ 210
= $250
b. The overall rate of interest can be found by dividing:
Total interest/Total amount invested × 100
= 250/(1000 ₊ 3000) × 100
= 250/4000 × 100
= 25/4
= 6.25%
Hence we get the total interest earned at the end of first year as $250 and its overall rate of interest as 6.25%
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Your question was incomplete. Please find the missing content here.
Last year, Chau invested his money in two purchases. He purchased a certificate of deposit for $1000 that paid 2% interest per year and purchased $3000 in corporate bonds paying 7% interest per year.
(a) What was the total investment earned at the end of 1 year?
(b) What was the percentage interest for her total investment?
Who is correct? (−3, 6), (−2, 4), (−3, −1), (−1, −6), (−4, −5), (−2, −7), (−5, −9), (−8, −9), (−12, −3), (2, 4), (3, 2) and (4, 1).
Regarding the quadrants, we have that:
Leila is correct, as most y-coordinates are also negative, meaning that most points are in quadrant 3.
What are the signals of the coordinates in each quadrant?There are four quadrants of points (x,y), and their signals are given as follows:
Quadrant 1: x > 0, y > 0.Quadrant 2: x < 0, y > 0.Quadrant 3: x < 0, y < 0.Quadrant 4: x > 0, y < 0.For this problem, we have that Leila is correct, as most y-coordinates are also negative, meaning that most points are in quadrant 3.
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Write two expressions that represent the volume of the cube, one with exponents and one without.
Round 9.7 to the nearest whole number.
Answer:
10
Step-by-step explanation:
If the decimal is .5 or above, round up to the next whole number. If the decimal is below .5, round down to the last whole number. Because .7 is greater than .5, we round up to 10.
Answer:
10
Step-by-step explanation:
In rounding, we look at the digit one place to the right of what we are rounding to. If that digit that is one place to the right is 5 or greater, we increase our digit by one. If that digit that is one place to the right is 4 or less, we leave our digit as it is.
Find the value of x needed to make the equation below true.
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
[tex]-4\left(1.5x-5\right)+4x=26[/tex]
Subtract 20 from both sides.
[tex]-2x+20-20=26-20[/tex]
-2x=6
[tex]\frac{-2x}{-2}=\frac{6}{-2}[/tex]
[tex]x=-3[/tex]
two primary services of operating system
Answer:
Step-by-step explanation:
it provides services to both the user and the programs.
it provides program an environment to execute.
Answer:
manage the computer's resources, such as the central processing unit, memory, disk drives, and printersestablish a user interfaceexecute and provide services for applications software.Step-by-step explanation:Given m|n, find the value of x.
one advantage of the experimental method over the correlational method is that the experiment , but the correlational study does not.
The experimental method has one advantage over the correlational method in that it "determines cause and effect," whereas the correlational study does not.
What is defined as correlational method?Quantitative methods are used in both experimental and correlational research to investigate interactions between variables. However, there are significant differences with how data is gathered as well as the conclusions that can be drawn.
A correlational research design looks into interactions between variables without allowing the researcher to control or manipulate any of them.A correlation is a measurement of the strength and/or direction of a relation between two (or more) variables. A correlation's direction may be positive or negative.What is defined as experimental method?Experimental research is scientific research that employs two sets of variables. The first set serves as a constant against which the differences in the second set are measured. Experimentation is used in quantitative research, for example.
If you lack sufficient information to back up your decisions, you should first establish the facts. Experimental research collects the information needed to make better decisions.Experimentation is used in any research done under scientifically acceptable conditions.To know more about the correlational method, here
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a candy bar box is in the shape of a triangular prism. the volume of the box is 1,200 cubic centimeters. a triangular prism is shown with base of triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm. part a: what is the height of the base? show your work.
Height of the base = 10cm
The definition of triangular volume?
The formula Area = Half of Base by Altitude is used to determine the area of a triangle. A = 0.5 X b X a . The formula for determining a triangular prism's volume is V = 0.5 X b X an X h.Given a candy box is in the shape of triangular prism
Volume of the box = 1200 cm³
Base of the triangle = 10cm
Side of the triangle = 13cm
Length of the box = 20 cm
Let the height of the base = h cm
Volume of the triangular prism = 1/2×(Base of triangle)×(Height of triangle)×(length of prism)
1200 = (1/2)×10×h×20
1200 = 100h
h = 1200/100
h = 12 cm
So, height of the triangle = 10cm
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In an apartment building block there are apartments with 2 rooms and with 3 rooms. in the building there are 20 apartments and 45 rooms in total. how many appartments with 3 rooms are in the building?
Using algebraic expressions and equations to solve this problem, there are 15 apartments with 2 rooms and 5 apartments with 3 rooms.
An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".
If there are 20 apartments, we can write the equation for the sum of two different kind of apartments.
let x = number of apartments with 2 rooms
y = number of apartments with 3 rooms
x + y = 20 (equation 1)
If there are x apartments with 2 rooms and y apartment with 3 rooms and there are 45 rooms in total, we can express this as the equation:
2x + 3y = 45 (equation 2)
Rewriting equation 1 as an equation of y in terms of x,
x + y = 20 (equation 1)
y = 20 - x
Substitute this expression of y to equation 2, and solve for x.
2x + 3y = 45 (equation 2)
2x + 3(20 - x) = 45
2x + 60 - 3x = 45
-x = 45 - 60
-x = -15
x = 15
Substitute the value of x in either equation 1 or 2 and solve for y.
x + y = 20 (equation 1)
15 + y = 20
y = 20 - 15
y = 5
If x is the number of apartments with 2 rooms and y is the number of apartments with 3 rooms, then there are 15 apartments with 2 rooms and 5 apartments with 3 rooms.
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Find the midpoint of the given line segment with the given endpoints
(5,1) and (4, -4)
Answer:
Step-by-step explanation:
(5 + 4)/2 = 9/2
(1 - 4)/2= -3/2
What is an equation of the line that passes through the
points (2, -3) and (2, 6)?
Answer: It is the point where the line crosses the x axis of the cartesian coordinates. We can write an equation of the line that passes through the points y=0 as follows: Using the equation: y = 3x – 6, put y=0. To find the x-intercept. 0 = 3x – 6. 3x = 6. The x-intercept is 2 of the slope-intercept form of line
A woman has a total of $9,000to invest. She invests part of the money in an account that pays7%per year and the rest in an account that pays9%per year. If the interest earned in the first year is$710, how much did she invest in each account? She invested $___ at 7% and $___ at 9%.
She invested $5,000 at 7% and $4,000 at 9%
How much is invested at each rate of return?
The amount invested at 7% can be assumed to be x, such that the amount invested at 9% would be total investment of $9000 minus x, which has been invested at the initial rate of 7%
total interest at 7%=interest rate*amount invested
interest rate=7%
amount invested=x
total interest at 7%=7%*x=0.07x
total interest at 9%=9%*(9000-x)
total interest at 9%=810-0.09x
total interest on both accounts=0.07x+810-0.09x
total interest on both accounts=810-0.02x
total interest earned=$710
710=810-0.02x
0.02x=810-710
0.02x=100
x=100/0.02
x=amount invested in the account which earns 7%=$5,000
amount invested at 9%=$9000-$5000
amount invested at 9%=$4,000
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How many triangles can be made if one angle is 95° and another angle is acute?
A. 1
B.2
C. More than 2
D. None
Answer:
D. None Beacouse triangles are 3-sided not 2-sided.
Step-by-step explanation:
None
Write a rule for the function:
1 6
2 11
3 16
4 21
Answer:
4 21
Step-by-step explanation:
Its probably the answer you are looking for
11) Mike is thinking of two numbers. Their difference is 12. If one of the numbers is 19, what is the other
number? Is there only one answer? If not, what is the other possibility for the second numbe? Explain
your reasoning.
Answer: 7, and 31
Step-by-step explanation:
7 + 12 = 19 or 19 - 12 = 7
19 + 12 = 31
The other number will be - 7.
Yes, There is only one answer.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The difference of two numbers is 12.
And, one of the numbers is 19.
Now,
Let two numbers are x and y.
So, We get;
x + y = 12
Here, one of the numbers is 19.
So, x = 19
We get;
x + y = 12
19 + y = 12
y = 12 - 19
y = - 7
Thus, The other number will be - 7.
Yes, There is only one answer.
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HELP EMERGCNY ILL MARK YOU BRAINLIST SHOW YOUR WORK
Answer:
3(c+30)+4(c+30), 7c + 210, 3c+90+4c+120
Step-by-step explanation:
I this helps :D
Answer:
I think it's the first one
Step-by-step explanation:
because he went to class 3 times a week and u would need to multiply 3 by c minutes + 30 minutes ( u have to add them to find the total amount of minutes he exercised during one class and multiply that by 3 after adding them together bc he did that class 3 times which means he did the exercise 3 times so u multiply) then u add that with next week where he went 4 times and did c minutes+ 30 minutes. HOPE THIS HELPS!
t = 1,000 + 18h
in the equation above, T represents Brittany's total take home pay, in dollars...
Answer:
c. 55
Step-by-step explanation:
because if you divide the numbers you'll get this
Which of the following options are examples of how you can name the angle?
Answer:
<STP
Step-by-step explanation:
Use your calculator to work out the following and
write all the figures from your display.
a) √17.5
b) 2.3² + √5.6
Determine the smallest integer that makes -3x + 7 -5x < 15 true.
Step-by-step explanation:
-3x+7-5x<15
-5x-3x+7<15
-8x+7<15
-8x<15-7
-8x<8
The smallest integer is -3x.
which value of x is a solution...
Answer:
(4), -5/6
Step-by-step explanation:
[tex]13-36x^2-13=-12-13\\-36x^2=-25\\\frac{-36x^2}{-36}=\frac{-25}{-36}\\x^2=\frac{25}{36}\\x=\sqrt{\frac{25}{36}},\:x=-\sqrt{\frac{25}{36}}[/tex]For x^2 = f(a), x = f(a), -f(a)
[tex]x=\sqrt{\frac{25}{36}},\:x=-\sqrt{\frac{25}{36}}\\\sqrt{\frac{25}{36}}\\\sqrt{25}\\\sqrt{5^2}=5\\=\frac{5}{\sqrt{36}}\\\sqrt{36}\\=\sqrt{6^2}=6\\=\frac{5}{6}[/tex]
Reverse the same equation from the negative side
[tex]=-\frac{\sqrt{25}}{\sqrt{36}}\\\sqrt{25}\\=\sqrt{5^2}\\=5\\=-\frac{5}{\sqrt{36}}\\\sqrt{36}\\=\sqrt{6^2}\\=6\\=-\frac{5}{6}[/tex]
Therefore,
[tex]x=\pm\frac{5}{6}[/tex]
Which of the following options are examples of how you can name the angle?
Answer:
∠T and ∠STP
Step-by-step explanation:
You can name an angle by their middle vertex letter which, in this case, is T.
And you can name an angle using the three letters provided. P, T, and S are the three letters provided. However, the vertex letter always has to be in the middle. So, it could be ∠STP or even ∠PTS.
Let me know if you don't understand or need more explanation.
Raíz cuadrada de 864
Raíz cuadrada de 864
Para resolver este problema debemos tomar en cuenta los datos que nos dan y la ecuación de una hipérbola. Comencemos con los datos:
The general equation of ellipse is given as, x2a2+y2b2=1 x 2 a 2 + y 2 b 2 = 1 , where, a is length of semi-major axis and b is length of semi-minor axis.
centro: (0,0)
focus : (0, -√28) , (0, √28)
eje conjugado = 2√3
por los focos podemos ver que la hipérbola se dirige hacia el eje y, por lo que debemos tomar la siguiente forma de la ecuación de la parábola:
de los focos podemos obtener que: √28
y del eje conjugado podemos saber que al dividir la longitud del eje conjugado dentro de 2 obtenemos b, así que:
b = √3
podemos utilizar la siguiente fórmula para obtener a:
si despejamos a en la ecuación obtenemos lo siguiente:
ahora podemos sustituir los valores:
a=5
así que media vez conozcamos a, podemos sustituir los datos en la ecuación de la hipérbola así que obtenemos lo siguiente:
si graficamos la hipérbola, queda como en el documento adjunto.
To learn more hipérbola
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Suppose that f(1) = 1, f(4) = 5, f '(1) = 3, f '(4) = 3, and f '' is continuous. find the value of 4 1 xf ''(x) dx.
Answer: b
Step-by-step explanation:
I think