150x + 400(1900-x) = 440250
150x + 760000 - 400x = 440250
250x = 319750
x = 1279
There were 1,279 children.
in the drawing of triangle XYZ, which angle has the least measure?
log(base 6)6+log(base 6)(x-5)=log( base 6)6
Answer: 6
Step-by-step explanation:
NOTE: log₆6 = 1
log₆6 + log₆(x - 5) = log₆6
1 + log₆(x - 5) = 1
log₆(x - 5) = 0
x - 5 = 6⁰
x - 5 = 1
x = 6
Need some pre-cal help! Will give best answer brainliest
Answer:
f(1) = -3
f(8) =3
f^-1 (5) =2
f^-1 (2) =4
Step-by-step explanation:
f(1) = is the value when x=1 which is -3
f(8) = is the value when x=8 which is 3
f^-1(5) is x value when y=5 so find y=5 in the table and read the x value x=2
f^-1 (2) is the x value when y=2 so find y=2 in the table and read the x value x=4
Express the partial sums ( sn) of the following geometric series recursively (Remember all three parts): 3 + 6 + 12 + 24 + ...
How do you do this 89.25 ×7 1/4 by showing steps
Answer: 1584.1875
Step by Step Explanation:
Step 1. Multiply the fraction
71 x 89.25/4
Step 2. Multiply the numbers 71 x 89.25.
= 6336.75/4
Step 3. Divide the number 6336.75/4.
= 1584.1875
Hope I could help! :)
Christina Stratton invested $8,000 in a certificate of deposit for 4 years. The certificate earns interest at an annual rate of 6.00 percent compounded quarterly. The amount per $1.00 is 1.061831. What is the effective annual yield ? Show work.
The effective annual yield for a certificate of deposit with a 6% annual interest rate compounded quarterly is approximately 6.14%.
Explanation:To find the effective annual yield, we need to use the formula:
Effective Annual Yield = (1 + (interest rate / number of compounding periods))^number of compounding periods - 1
In this case, the interest rate is 6%, which is equivalent to 0.06. The number of compounding periods is 4 per year. Plugging these values into the formula, we get:
Effective Annual Yield = (1 + (0.06 / 4))^4 - 1
Calculating this, we find that the effective annual yield is approximately 6.14%.
Tony plans to purchase a jacket that costs p dollars. In a week the jacket will go on sale for 30% off. Tony writes althea following expression to calculate the cost of the jacket after the discount:
p - .30p
Now which of the following is equivalent?
1.30p
1.70p
2p - .30
.70p
p (1 - .30)
Answer:
.70p
p(1-.30)
Step-by-step explanation:
Tony plans to purchase a jacket that costs p dollars. In a week the jacket will go on sale for 30% off.
Tony writes althea following expression
p - .30p
Here P or 1P are same
So expression becomes 1p - 0.30p
Both are like terms
so we can subtract it
1p - 0.30p = 0.70p
Also we can write 1p - 0.30p as p(1-0.30)
We can take out p that is in common
Equivalent expression is .70p and p(1-.30)
What is the selling cost of a jacket that the store buys for $60 if the markup is 12%?
Answer:
$67.20
Step-by-step explanation:
We need to find out how much 1% costs so we can multiply that cost by 12 because it goes up 12%.
60/100=0.6
0.6*12=7.2
Now that we have the markup amount we add it to the actual price of $60 so
60+7.2=$60.20
Construct a function with a rate of change of 2/3 and an initial value of 4
(put your equation in slope-intercept form)
Answer:
f(x) = 2/3x +4
Step-by-step explanation:
The initial value is another name for the y intercept, so b = 4
Rate of change is another name for slope so m = 2/3
We can use the equation y =mx+b
y = 2/3 x + 4
We want it in function form
f(x) = 2/3x +4
From 6x^2−7xy+8y^2 subtract the sum of x^2−3xy−y^2 and 2x^2+5xy−4y^2
Ginger's cat gave birth to a kitten that weighed ounces when it was born. On the day Ginger sold the kitten to its new owner, it weighed ounces. How many ounces did the kitten gain before it went home with its new owner?
Answer:
C. 2 1/8 ounces
Step-by-step explanation:
The kitten gained 2 1/8 ounces, and you can prove it through the following reasoning.
Kitten at birth was 3 3/8 ounces
Gained Weight (WG) was (unknown)
The kitten was 5 1/2 after being sold.
5 1/2 - 3 3/8 = GW (please note that 1/2 is also 4/8, therefore the equation can be represented by 5 4/8 - 3 3/8 = GW
2 1/8 = GW
Answer: The kitten gained 2 1/8 ounces
Step-by-step explanation:
We have to find the difference between the weights of kitten.
5 1/2 - 3 3/8 = weight gained
We solve the compound fraction like this.
5 1/2
2*5+1 = 11
This goes to 11/2
While
3 3/8
8*3+3 = 27
This goes to 27/8
So we subtract 11/2 - 27/8
44 - 27/8
17 / 8
This comes to 2 1/8 ounces.
GEOMETRY PROBABILITY: EXPLAIN PLEASE! BRAINLIEST GIVEN !!
Answer: 18%
There are 1879 people who are in the "graduate" row and "receiving aid" column. This is out of 10730 people total (bottom right corner)
The probability is 1879/10730 = 0.175 approximately which converts to 17.5% which rounds to 18%
When adding 32.83 to a certain number, the sum is 37.63, as seen below. What number should go in the box to complete the addition problem? 2 3 4 5
Answer:
The answer would be 4.8.
Step-by-step explanation:
The reason for it is because you subtract 37.63 - 32.83 and you get 4.8
Answer: 4
Step-by-step explanation: you will need to subtract 37.63 to 32.83, and so it will give you 4.8. since it is asking for an individual number between 2-5, it is reasonable to choose 4 (ideal because the final answer is 4.8.)
factor the expression using GCF 25+30
Answer:
5(5+6)
Step-by-step explanation:
25+30
Lets factor each expression
25 = 5*5
30 = 5*6
We can factor out a 5
5(5+6)
Lucy had $9.72 after leaving the game store if she bought a game for $34.79 how much money did she have before she went into the game store?
(Trying to help sister, 4th grade math)
You just add the amount she spent and the amount she had left over to find out how much she had before she went into the game store. So 9.72+34.79 is $44.51. Hopefully this helped her out.
Answer:
Add the amount that is left over to them game money
Step-by-step explanation:
34.79 + 9.72 = 44.51 dollars
She had 44.51 before she went to the game store
PLS ANSWER ASAP WILL GIVE BRAINLIEST
The table shows the number of minutes in different numbers of days.
Number of Days 4 7 11
Number of Minutes 5760 10,080 15,840
Which equation expresses the relationship between the number of days, d, and the number of minutes, m?
d = 1440m
m = d + 1440
m=d1440
m = 1440d
Answer:
Last choice
Step-by-step explanation:
Let's assume m is the "y" (dependent variable) and d is the "x" (independent variable) because the number of minutes is larger, and that would make more sense.
5760/4=1440
10080/7=1440
...
Slope is 1440, and it is direct variation
m=1440d
It COULD also be the third choice, but mathematical convention would have us put the coefficient first.
I don’t get what this is. Does anyone else?
Answer:
Step-by-step explanation:
If the lines are parallel, then angles 1, 7, 3, and 5 are congruent because they are vertical/corresponding angles.
Therefore, they are all 113 degrees. For the rest of them, you just subtract from 180 to get 67. Therefore,
2 = 67 degrees
3 = 113 degrees
4 = 67 degrees
5 = 113 degrees
6 = 67 degrees
7 = 113 degrees
8 = 67 degrees
Evaluate the expression for x = 3, y=13 , and z = 5.
12x−3y4x−z
Enter your answer in the box.
i would use cymath or photo math
ps im not a bot lol
On a given blueprint, 1 inch equals 16 feet. If the dimensions of the bedroom on the blueprint are .75 inches x 1.5 inches, what are the actual measurements
The actual measurements are 12 feet by 24 feet.
What is Scale in map?The ratio between a distance on a map and its corresponding distance on the ground is referred to as the "map scale."
The scale of a map is the proportion between the distance shown on paper and the actual distance on the ground.
Given:
1 inch = 16 feet.
Dimension of bedroom on blue print is 0.75 inches x 1.5 inches.
so, the actual dimension of bedroom is
= 0.75 x 16 by 1.5 x 16
= 12 feet by 24 feet.
Hence, the actual measurements are 12 feet by 24 feet.
Learn more about scale map here:
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Find x, using SOHCAHTOA?
Answer:
x = 57.22754579
Step-by-step explanation:
We know cos 63 = adjacent/ hypotenuse
cos 63 = 15 sqrt(3)/x
Multiply each side by x
x cos 63 =15 sqrt( 3 )
Divide each side by cos 63
x cos (63)/ cos (63) = 15 sqrt(3)/cos (63)
x = 15 sqrt(3)/ cos 63
x = 57.22754579
Juanita borrowed $600 to purchase a new computer. She was charged 7% interest for two years. How much interest will Juanita pay? Juanita will pay $ interest
Answer:
The answer is 84
hope this helps :)
Answer:
$84
Step-by-step explanation:
I did it on edg. 2020
The total cost, including shipping, for ordering five uniforms is $61. The total cost, including shipping, for ordering nine uniforms is $ 105. find the slope.
Answer:39/4
Step-by-step explanation: What I'd do first is set the question up as an ordered pair, for example (x,y) have the uniforms be represented by x and the cost be represented by y. We know that the cost of five uniforms is $66, so we can substitute (x,y) into (5,66). We can then do the same for nine uniforms which is 105 (9,105). The equation we are going to use to find the slope is y2-y1/x2-x1 = 105-66/9-5.
This should result in 39/4. Make sure to always simplify when needed, in this case we don't have to.
Hope this helped.
the measure of the vertex angle of an isosceles triangle is 48°. what is the measure of each base angle?
Answer:
66°
Step-by-step explanation:
the base angles of an isosceles triangle are equal
the sum of the 3 angles in a triangle = 180°
subtract the vertex angle from 180 and divide the result by 2
base angles = 180° - 48° = 132°
base angle = [tex]\frac{132}{2}[/tex] = 66°
4 glue sticks cost 7.76$.what equation would help determine he cost of 13glue sticks
Answer:
25.22
Step-by-step explanation:
7.76/4 and then after the unit rate you multipy it by 13
Answer:
13 glue sticks cost $25.22
Step-by-step explanation:
We can use ratio's to solve this problem. We put price over number of sticks.
$7.76 x dollars
------------- = ---------------
4 sticks 13 sticks
Using cross products
7.76 * 13 = 4 * x
100.88 =4x
Divide each side by 4
100.88 /4 = 4x/4
$25.22 =x
what is 4 percent of 320
Answer:
Alright well simplify the expression
which gives u 12.8 Hope this help's Have a nice day :)
Step-by-step explanation:
If u want i can explain with detail
During which interval did the price decrease at the greatest rate? year: 2000,2002,2003,2005 price: 58,54,50,44,43
Answer:
Step-by-step explanation: I would say the 43 which is 2005.The reason for my answer is because you first write down the years. Then write down the price beside the years. Then you put them in order from greatest to least or least to greatest.Once you find out the least value then find the year that price was in. Hope this helps!!!
Please amrk brainliest
Which values in P and Q result in an equation with no solutions? Px+5= -4x+Q
Answer:
Given equation: [tex]Px+5 = -4x+ Q[/tex]
Add 4x on both sides we get;
Px + 5 + 4x = -4x + Qc+ 4x
Simplify:
Px +4x + 5 = Q
or
x(P+4) = Q - 5
Divide P+4 on both sides we get;
[tex]x = \frac{Q-5}{P+4}[/tex]
If we set Q-5 = 0 and P +4 = 0, there will be no solutions.
Since, No solution would mean that there is no answer to the equation.
⇒[tex]Q -5 = 0[/tex]
or
Q = 5
and
⇒[tex]P +4 = 0[/tex]
or
P= -4
Therefore, the values of P = -4 and Q = 5 results in an equation with no solutions.
Answer: P = -4 and Q = -5
PLEASEE HELPPPPP
To solve the system of linear equations 3x-2y=4 and 9x-6y=12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3x-2y=4 and 9x-6y=12 with his graphing calculator, but he could only see one line. Why is this?
A.because the system of equations actually has only one solution
B.because the system of equations actually has no solution
C.because the graphs of the two equations overlap each other
D.because the graph of one of the equations does not exist
The coefficients and constants of the equations are proportional to each other because the graphs of the two equations overlap each other.
The correct option is C.
When Henry multiplied the first equation by -3 and added the two equations together, resulting in the equation 0 = 0, it indicated that the two original equations were dependent and represented the same line. This means that the system of equations has infinitely many solutions. Each point on the line represented by the equations satisfies both equations simultaneously.
When Henry graphed the equations on his graphing calculator and saw only one line, it further confirmed that the two equations are identical or overlapping. The lack of a visible second line indicates that the graphs coincide with each other, overlapping perfectly. This occurs because the coefficients and constants of the equations are proportional to each other, resulting in the same line when graphed.
Hence, option C is the correct choice, as the overlapping of the graphs confirms that the system of equations has infinitely many solutions.
To learn more about the system of equations;
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in a certain city , the hourly wage of workers on temporary employment crontracts is normally distributed. The mean is $15 and the standar deviation is $3. What percentage of temporary workers earn less than $12 per hour?
A) 6%
B) 16%
C) 26%
D) 36%
Answer:
16%
Step-by-step explanation:
The mean is $15 and the standar deviation is $3.
mean = 15 and SD = 3
We need to find percentage less than 12 per hour
P(x<12)= P(x=12)
to find P(x=12) we find z-score
[tex]z= \frac{x-mean}{SD} =\frac{12-15}{3} =-1[/tex]
Now use z-score table . z-score = 0.1587
P(x=12)=0.1587
To get percentage we multiply by 100
0.1587 * 100 = 15.87 = 16%
Right △ABC has coordinates A(-7, 3), B(-7, 10), and C(-1, 3). The triangle is reflected over the x-axis and then reflected again over the y-axis to create △A'B'C'. Which are the coordinates of vertex A'?
Answer:
Your answer should be point (7,3)
Step-by-step explanation:
Answer:
7,3
Step-by-step explanation: