Answer:
dr. potter provides 54 vaccinations TOTAL (including both measles and polio).
p+m=54
since there are 4 doses of polio and of measles, you have to use a variable to distinguish how many doses were given for measles and polio out of 142 given doses.
4p+2m=142
p+m=54
4p+2m=142
^^system of equation
p+m=54
4p+2m=142
p=54-m
4p+2m=142
(substitute 54-m to the equation)
4(54-m)+2m=142
m=37
(collect like terms, then substitute the value of m into the first equation)
p=54-37
p=17
(m, p)=(37, 17)
Step-by-step explanation:
i hope this helps, sorry for the wait
You invest $20,000 in two accounts paying 12% and 11% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $2,255.00.
Answer: [tex]\$5500, \$14,500[/tex]
Step-by-step explanation:
Given
[tex]\$20,000[/tex] is invested in two accounts with a 12% and 11% rate of interest.
Total interest after a year is [tex]\$2255[/tex]
Suppose x amount is invested in first, so the remaining amount is invested in other
Simple interest and Compound interest is the same for a year
[tex]\therefore \text{Interest}=\dfrac{P\times R\times T}{100}[/tex]
For first investment
[tex]I=\dfrac{x\times 12\times 1}{100}\\\\I=0.12x[/tex]
For second investment
[tex]II=\dfrac{\left(20,000-x\right)\times 11\times 1}{100}\\\\II=0.11\left(20,000-x\right)[/tex]
The sum of the two must be [tex]\$2255[/tex]
[tex]\Rightarrow 0.12x+0.11\left (20,000-x\right)=2255\\\Rightarrow 0.01x=2255-2200\\\\\Rightarrow x=\dfrac{55}{0.01}\\\\\Rightarrow x=\$5500[/tex]
Remaining amount is
[tex]\Rightarrow 20,000-5500\\\Rightarrow \$14,500[/tex]
2x < 18
Is it a solution?
9 yes or no
5 yes or no
12 yes or no
8 yes or no
answer yes or no for EACH one
HELP
Answer:
9 is yes.
5 is no
12 is no
8 is no
MY Last question and I'm done....
b) Suppose that you increase the height of this cylinder by 10 cm.
By how much does the volume increase?
Answer:
785.4
Step-by-step explanation:
1335.18-549.78 = 785.4
Answer:
785.4
Step-by-step explanation:
The volume of the original is 549.77871cm^2
The volume after the height increase is 1335.17688cm^2
1335.17688 - 549.77871 = 785.39817
I don't know how much to round it to but I'll go tenths ig
785.4
PLZ HELP I WILL MARK BRAINLYIST!!!!!!!Explain the difference between a dot plot and a histogram. When would you use each graph?
Answer:
Histograms subdivide data into intervals (bins), and use rectangles (usually columns) to show the frequency (count) of observations in each interval. ... Dot plots include ALL values from the data set, with one dot for each occurrence of an observed value from the set.
Step-by-step explanation:
histogram-Analyzing whether a process can meet the customer's requirements. Analyzing what the output from a supplier's process looks like. Seeing whether a process change has occurred from one time period to another. Determining whether the outputs of two or more processes are different.
Dot plots are used for continuous, quantitative, univariate data. Data points may be labelled if there are few of them. Dot plots are one of the simplest statistical plots, and are suitable for small to moderate sized data sets. They are useful for highlighting clusters and gaps, as well as outliers.
Which shows the given inequalities in slope-intercept form? y < four-fifthsx – one-fifth y < 2x 6 y > four-fifthsx – one-fifths y < 2x 6 y > negative four-fifthsx one-fifth y > 2x 6
y < 4/5x - 1/5 ,y > -4/5x + 1/5, y < 2x + 6, y > 2x + 6 are all in slope-intercept form
The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis. The slope intercept form is given as, y = mx + b, where 'm' is the slope of the straight line and 'b' is the y-intercept.
so the given equation are also in the form of slope intercept form
y < 4/5x - 1/5
y > -4/5x + 1/5
y < 2x + 6
y > 2x + 6
are all in slope-intercept form (y = mx + b) where m is the slope and b is the y-intercept.
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A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets cost $285 each. The business wants each salesperson to have either a laptop or a tablet. There are 30 salespeople. Create a system of equations that models how many of each type of computer the business should buy. 515x 285y
Answer:
515 x + 285 y = 11080
x + y = 30
Step-by-step explanation:
1. Two equivalent cubes are shown. The edge length of each dice are 3 centimeters,
What is the combined volume of the both dice in cubic centimeters?
A 54 cm
B 18 cm
C 9 cm
D 27 cm
Answer:
Step-by-step explanation:
sort these from least to greatest
0
1
1/2
8/9
49/100
11/10
1/13
The numbers are sort from least to greatest as 0, 1/13, 49/100, 8/9, 1/2, 1, 11/10
What is a fraction?A fraction can be defined as the part of a whole number, variable or element.
There are several types of fractions, some of which includes;
Mixed fractionsProper fractionsImproper fractionsComplex fractionsSimple fractionsFrom the information given, we have the fractions;
0, 1, 1/2, 8/9, 49/100, 11/10, 1/13
To arrange the values from least to greatest, we have to divide the fractions and find their decimal forms, we have;
1/2 = 0.5
8/9 = 0.89
49/100 = 0.49
11/10 = 1.1
1/13 = 0. 08
However, the arrangement is 0, 1/13, 49/100, 8/9, 1/2, 1, 11/10
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Find the perimeter of the parallelogram with these vertices.
(3, 6), (-5, 6), (6, -1), (-2, -1)
The perimeter of the parallelogram with the given vertices is 33.
What is perimeter?The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges.
Given that:
A = (3, 6)
B = (-5, 6)
C= (6 , -1)
D = (-2, -1)
The length of side is given by the formula:
[tex]L = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Substitute the values in the formula to find the sides of the parallelogram.
[tex]AB= \sqrt{(-5 -3)^2 + (6-6)^2} = 8\\ \\BC = \sqrt{(6+5)^2 + (-1 - 6)^2} = 13\\\\CD= \sqrt{(-2+6)^2 + (-1 +1)^2} = 4\\\\\DA= \sqrt{(3+2)^2 + (6+1)^2} = 8[/tex]
The perimeter is obtained by adding all the sides of the given two-dimensional shape.
P = 8+13+4+8
P = 33
Hence the perimeter of the parallelogram is 33.
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Please help there’s no example on how to do this so I’m confused
sorry i cant help im not there yet im not that high a grade yet
In a survey of 500 high school students, 108 have taken Trigonometry, 391 have taken Physics, and 58 have taken both. How many have taken either Trigonometry or Physics?
Answer:
109 took physics and 392 took Trigonometry
Step-by-step explanation:
Suppose that $x$ is directly proportional to $y$. Let $x_1, x_2$ be two values of $x$ such that $\frac{x_1}{x_2} = 4$. Let their corresponding values be
$y_1$, $y_2$ respectively. If at least one of $y_1, y_2$ is nonzero, find $\frac{y_2}{y_1}$.
If at least one of $y_1, y_2$ is nonzero, then $\frac{y_2}{y_1}$ = $\frac{1}{4}$
If x is directly proportional to y, we can write this as x = ky for some constant k.
Since $\frac{x_1}{x_2} = 4$, we can write it as $x_1 = 4x_2$.
Now, substituting the value of $x_1$ in equation x = ky gives
$4x_2 = ky_1$.
Also, since x = ky, we can write $x_2 = ky_2$.
Now, we can substitute the value of $x_2$ in the equation $4x_2 = ky_1$
So, $4ky_2=ky_1$, which gives $\frac{y_2}{y_1} = \frac{1}{4}$
Therefore, $\frac{y_2}{y_1}$ = $\frac{1}{4}$ when x is directly proportional to y and $\frac{x_1}{x_2} = 4$.
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The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high, sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of data collection, the sales team determines that the monthly profit is approximated by f(p)= -50p2 + 1600p - 11,000, where p is the price per shirt and f (p) is the monthly profit based on that price. (a) Find the price that generates the maximum profit. (b) Find the maximum profit. (c) Find the price(s) that would enable the company to break even. If there is more than one price, use the "and" button. Part 1 of 3 (a) The price that generates the maximum profit is S 16 Part 2 of 3 (b) The maximum profit is $ 1800 Part: 2/3 Part 3 of 3 (c) The price(s) that would enable the company to break even:
The price that maximize the profit is $10 or $22.
What is maximum profit?
In economics, profit maximization is the short run or long run process by which a firm may determine the price, input and output levels that will lead to the highest possible total profit.
Given:
f(p) = -50p^2 + 1600p - 11000
Now to find velocity point
[tex]-\frac{b}{2a} = \frac{-1600}{2(-50)} = \frac{1600}{100} = 16[/tex]
So for the price p = 16 that generates maximum profit.
Now
f(16) = -50(16)^2 + 1600(16) - 11000 = 1800
The maximum profit is 1800.
At breakeven, f(p) = 0
So,
[tex]-50p^2 + 1600p - 11000 = 0\\p = \frac{-1600 + -\sqrt{(1600)^2 - 4(-50)(-11000)} }{2(-50)} \\p = \frac{-1600 + - \sqrt{2560000 - 2200000} }{-100} \\p = \frac{-1600+-\sqrt{360000} }{-100} \\p = \frac{-1600+-600}{100}\\ p = 10, 22[/tex]
So p = $10 or p = $22
Hence, the price that maximize the profit is $10 or $22.
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The base of an open rectangular box is of length (2x + 5) cm and width x cm.
The area of this base is 58 cm².
The height of the open box is (x - 2) cm.
I have attached a pic
(I already did part (a) and (bi) and you may use the answers to help you do the (bii) question)
+ the answer for (bi) if you can’t see it, it is 4.28 and -6.78
This is the question:
b) (ii) Hence calculate the volume of the box, stating the units of your answer.
A box's volume equals [tex]135.25cm^{3}[/tex] the length (2x + 5) cm and breadth x cm of the base of an open rectangular box.
what is volume?The area occupied within an object's three-dimensional bounds is referred to as its volume. The basic formula for volume is length, width, and height, as opposed to the basic formula for the area of a rectangular shape, which is length, breadth, and height. No matter how you refer to the various dimensions, the calculation remains the same. It is sometimes referred to as the vessel's "capacity" or "volume." infant milk bottle with milliliter measuring indications and juice bottle with a 1 liter capacity.
given
Calculate the box's volume and provide your answer in units.
Due to the fact that x = 4.28, the remaining sides are 2x + 5 = 2(4.28) + 5 = 13.56
and x - 2 = 4.28 -2 = 2.28.
We are aware that volume is calculated as follows: 13.56 (4.28) ( 2.28 )
=[tex]135.25cm^{3}[/tex]
A box's volume equals [tex]135.25cm^{3}[/tex] the length (2x + 5) cm and breadth x cm of the base of an open rectangular box.
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What is the value of x in log2 x 3?
value of x = 8 as per logarithm laws.
What is logarithm?In mathematics, logarithm is an exponent or power for which a particular number is raised to achieve a required number. In other words, logarithm is a mathematical expression that states about how many times a number can be multiplied by the same number to get some required numbers.
The method of expressing any exponential relationship in the inverse form is called log notation.
What is the value of x in the question?In this question, we are given a log base 2 or binary logarithm.
given, ㏒₂ x = 3
as per the logarithm laws ㏒a y = m
y = a∧m
we write. ㏒₂ x = 3
x = 2³
hence, x = 8
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Write down the value of angle x, y and z and give a reason for your answers: Angles
The missing angles and their reasons are as follows;
a) x = 65°; Opposite angles
b) y = 71°; Alternate angles
c) z = 44°; sum of angles in a triangle
What are the missing angles of the triangle?a) In triangles or line geometry, we know that the angles that are directly opposite to each other are known as opposite angles. They are also referred to as as vertical angles or even vertically opposite angles in some cases and are always congruent to each other.
We see that x is an opposite angle to 65 and so;
x = 65°
b) Alternate angles are gotten on the opposite sides of a transversal line they always have the same size. In this problem, we see that y is an alternate angle to 71° and as such;
y = 71°
c) The sum of angles in a triangle is 180° and as such;
x + y + z = 180°
Thus;
65 + 71 + z = 180
z = 180 - 136
z = 44°
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A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. After
11
11
11
11
months, he weighed
140
140
140
140
kilograms. He gained weight at a rate of
5.5
5.5
5.5
5, point, 5
kilograms per month.
Let
y
y
y
y
represent the sumo wrestler's weight (in kilograms) after
x
x
x
x
months.
Complete the equation for the relationship between the weight and number of months.
The equation of line is given by y = 13.45x - 7.95 where the slope of the line is m = 13.45 and y is the weight in kilograms , x is the number of months
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
The weight in kilograms = y
The number of months = x
Let the first point be represented as P = P ( 11 , 140 )
Let the second point be represented as Q = Q ( 1 , 5.5 )
Now , the slope of the line is given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 140 - 5.5 ) / ( 11 - 1 )
Slope m = 134.5 / 10
Slope m = 13.45
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 140 = 13.45 ( x - 11 )
On simplifying the equation , we get
y - 140 = 13.45x - 147.95
Adding 140 on both sides of the equation , we get
y = 13.45x - 7.95
when x = 11 months
y = 13.45 ( 11 ) - 7.95
y = 147.95 - 7.95
y = 140 kilograms
Therefore , the value of A is y = 13.45x - 7.95
Hence , the equation is y = 13.45x - 7.95
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What is the value of tan θ?
The value of tan 1 is 45 degree.
tangent is the trigonometric ratio.
we can find out the value of tangent by taking opposite side of the theta angle divided by the adjacent side of the theta angle.
tan Q = perpendicular of triangle /base of triangle.
sine theta divided by cos theta gives the value of tan theta.
tan Q = sin Q/ cos Q.
some formula of the tan Q are as follows,
1- tan Q = sin Q/cos Q
2- tan Q= 1 /cot Q
3-tan^2 Q =sec^2 Q -1
4- tan(90 - Q)=cot Q
5- tan (Q+π)=tan Q
6- tan (π-Q)=-tan Q
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Art Show Attendance Day Attendance Sunday 54 Monday 29 Tuesday 22 Wednesday 28 Thursday 12 Friday 15 Saturday ? What does the attendance need to be on Saturday to have an average attendance for the week of 30 people per day?
Answer:
50
Step-by-step explanation:
mean = sum of observations / number of observations
sum of observations = 30 x 7 = 210
saturdays attendance = 210 - (54 + 29 + 22 + 28 + 12 + 15) = 50
Find the magnitude and direction of the vector <3,9>. Round angles to the nearest degree and other values to the nearest tenth.
Answer:
Magnitude: 3√10
Direction angle: 71.56°
Step-by-step explanation:
The magnitude ||v|| of a vector <a,b>, would be:
[tex]||v||=\sqrt{a^{2}+b^{2}[/tex]
[tex]||v||=\sqrt{3^{2}+9^{2}[/tex]
[tex]||v||=\sqrt{9+81}[/tex]
[tex]||v||=\sqrt{90}[/tex]
[tex]||v||=3\sqrt{10}[/tex]
The vector's reference angle would be:
[tex]tan\alpha =|\frac{b}{a}|[/tex]
[tex]tan\alpha =|\frac{9}{3}|[/tex]
[tex]tan\alpha =|3|[/tex]
[tex]tan\alpha =3[/tex]
[tex]\alpha = 71.56[/tex]
If [tex]\alpha[/tex] is your reference angle, then your direction angle ∅ depends on what quadrant the vector is located in. Since <3,9> is located in Quadrant I, then ∅= [tex]\alpha[/tex], which means your direction angle is also 71.56°
Answer:
9.5; 72°
Step-by-step explanation:
Tamika makes $2,436 each month. If there are four weeks in one month, how much does Tamika make in one week?
Answer: $609
Step-by-step explanation:
2436/4 = 609
How many 2/3 cup servings are 4 3/4 cups of milk
7 1/8
You divide 4 3/4 by 2/3
urgent: help!!!
To own and operate a poster printer, it costs $250 for the printer and an additional $0.20 per poster for ink. To print out posters at a print store, it costs $1 per poster. Let p represent the number of posters.
When will the cost for owning and operating a poster printer equal the cost for printing at a print store?
Answer:
312.5
Step-by-step explanation:
250+(0.2p)=1p
p=312.5
Maryah and Mariah make egg sandwiches. Maryah can make 5 sandwiches in 3
hours and Mariah can make 3 sandwiches in 2 hours.
Enter an equation that can be used to find the number of hours, t, it takes Maryah and Mariah to
make 38 sandwiches. Enter your response in the first response line.
Enter the number of hours, t, it takes Maryah and Mariah to make 38 sandwiches
4 x 9 1/2
four times 9 and a half
Answer:
38
Step-by-step explanation:
4*9 1/2=38
Hand written explanation:
4*9=36
4*1/2=4/2=2
36+2=38
Answer:
the answer is actually 38 that is the correct answer for this particular question it's saved 4 * 9 and a half and the answer is 38
Can anyone help???????
f(x) = -1/2x^2 + 3/2x - 2 I need to find the zeros
Answer:
f(x) = -1/2x² + 3/2x - 2
f(0) = (-1/2 × 0²) + (3/2 × 0) - 2
f(0) = 0 + 0 - 2
f(0) = -2
THANK YOU!!( ◜‿◝ )♡
28 = 4/5x - 8 what value of x makes the equation true?
Answer:
1.6285
Step-by-step explanation:
28 = 4/5x-8
Cross multiply
140x-224=4
140x =224+4
140x = 228
x = 228/140
x = 1.6285
which two angles named below are supplementary in the figure? ill give brainliest
Answer:
D. Angles 4 and 7
Step-by-step explanation:
Answer 1 and 4 are supplementary angles.
Step-by-step explanation:
Supplementary angles are angles adding up to 180, the only angles listed that are supplementary angles is 1 and 4.
Have a good day!
How do you do log 10 on a calculator?
To calculate log 10 on a calculator, you will typically use the "log" button. Depending on the type of calculator, you may need to enter the number 10 first, then hit the "log" button.
For example, if using a standard scientific calculator, you would enter 10, then hit the "log" button. On some calculators, you may need to hit the "10x" button first before hitting the "log" button. On some graphing calculators, you may need to use the "log base" button. When using this button, you would enter 10 as the base and the number you are trying to calculate the log of.
In some cases, you may need to use the "ln" (natural log) button instead of the "log" button. In this case, you would need to use the conversion formula of "ln x = 2.303 log 10 x" to get the desired number. Finally, some calculators may have an "antilog" button. This button will calculate the inverse of the logarithm or the power of 10 of a given number. To use this button, you would enter the number, then press the antilog button.
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