Answer:
79
Step-by-step explanation:
Let's say that N is the number of cards.
So the first step is N+5, because dan bought 5 new cards.
Next his dog ate half the collection, so the 2nd piece of the problem is [tex]\frac{N+5}{2}[/tex]
The last step is to now make it an equation. Because there are now 46 cards left, [tex]\frac{N+5}{2}[/tex]=42.
Now solve for N which is N+5=84=> N=79
brainliest would be appreciated!
The national mean annual salary for a school administrator is $90,000 a year (The Cincinnati Enquirer, April 7, 2012). A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state and to see if they differed from the national average. Click on the datafile logo to reference the data.
A. Formulate hypotheses that can be used to determine whether the population mean annual administrator salaries in Ohio differ from the national mean of $90,000.
B. The sample data for 25 Ohio administrators is contained below. What is the p-value for your hypothesis test in part A?
C. At alpha = 0.05, can your null hypothesis be rejected? What is your conclusion?
D. Repeat the preceding hypothesis test using the critical value approach?
Salary Data
77600
76000
90700
97200
90700
101800
78700
81300
84200
97600
77500
75700
89400
84300
78700
84600
87700
103400
83800
101300
94700
69200
95400
61500
68800
Mark rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 5
Answer:
1/3
Step-by-step explanation:
p=1/6+1/6
=2/6
=1/3
In a park, the ratio of adults to children is 11 to 9. If there are 320 people in the park, how many children are there?
Answer:
144
Step-by-step explanation:
320 ÷ 20 = 16
adults : children
11 : 9
9×16 = 144
7x + 9 = 58? solve for x
The solution to the equation 7x + 9 = 58 is x = 7.
To solve the equation 7x + 9 = 58 for x, we can follow these steps:
Subtract 9 from both sides of the equation to isolate the term with x:
7x + 9 - 9 = 58 - 9
7x = 49
Divide both sides of the equation by 7 to solve for x:
7x / 7 = 49 / 7
x = 7
Therefore, the solution to the equation 7x + 9 = 58 is x = 7.
To know more about equation:
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The library of a contemporary elementary school is circular. The floor
plan includes sectors reserved for science materials, literary materials,
reference materials, and so on. Find the area of the reference section
excluding its storage area.
The area of the reference section excluding its storage area is
(Round to the nearest hundredth as needed.)
Answer:
The area of the reference section excluding its storage area is approximately 157.78 square feet.
Step-by-step explanation:
The area of the reference section excluding its storage area ([tex]A[/tex]), in square feet, is the area of the greater circular sector minus the lesser circular sector, that is:
[tex]A = \frac{1}{2}\times \frac{45^{\circ}}{180^{\circ}} \times \pi \times (37.5\,ft)^{2} - \frac{1}{2}\times \frac{45^{\circ}}{180^{\circ}}\times \pi \times (12\,ft)^{2}[/tex]
[tex]A \approx 157.781\,ft^{2}[/tex]
The area of the reference section excluding its storage area is approximately 157.78 square feet.
In the figure below, what is the measure of _x?
30
х
O A. 70°
OB. 300
o C. 60°
D. 90°
Answer:
50
Step-by-step explanation:
The sum of angle on a straight line is 180degres, hence;
X+3+x+20+x+7 = 180
3x+30=180
3x=180-30
3x = 150
X = 150/3
x = 50
Hence the value of x is 50
Help!
Find the measures of the indicated angle in the parallelogram
Aquestion that can be answered by
collecting data that has variability,
You need to give more info
Can the sides of a triangle have lengths 8, 17, and 18?
Answer:
Step-by-step explanation:
Tak
HELPPP. 6th GRADE MATH!!! ITS EASY IF YOU ARE GOOD AT IT!!!
:( No links and non-useful answers will be reported. Please help!
Answer:
1. Howard
2. Peter
Step-by-step explanation:
Answer:
1 is A, 2 is B
It says on image below I think
Answer:C
Step-by-step explanation:
Answer: bro i cant see it can you make it lighter
Step-by-step explanation:
2, 1, 1/2, 1/4 which number should come next
The courtyard outside East Middle School is in the shape of a rectangle and half-circle.
What is the approximate area of the courtyard?
Answer:
The correct option is the third one counting from the top. (5892 m^2)
Step-by-step explanation:
First, we need to remember that:
For a rectangle of length L and width W, the area is:
A = L*W
For a circle of diameter D, the area is:
A = pi*(D/2)^2
Where pi = 3.14
In the image, we can see a rectangle and half a circle, the total area of the image will be equal to the area of the rectangle plus the area of the half circle.
In the image, we can see a rectangle of length L = 100m and width W = 50m
Then the area of the rectangle is:
A = 100m*50m = 5000m^2
And we can see that for the half-circle the diameter is D = 50m
Note that the area of a half-circle is half of the area of a complete circle, then the area of that half-circle is:
A = (1/2)*(3.14*(50m/2)^2) = 981.25 m^2
If we add these two areas we get:
Total area = 5000m^2 + 981.25 m^2 = 5981.25 m^2
If we round it up, we get:
Total area = 5982 m^2
The correct option is the third one counting from the top.
evaluate the expression for the given value 3a^2 + 6b^3. a=3 b=2
Answer:
5. is the answer
Step-by-step explanation:
HELP ME OUT PLEASE URGENT
Two sides of an isosceles triangle are 4 and 8. Which of the following choices could be the measure of the third side?
A. 10
B. 8
C. 6
D. 4
Answer:
8 is answer. isoceles triangles must have two equal sides, where the smaller makes the base and the two larger are the legs.
Step-by-step explanation:
The measure of the third side of an isosceles triangle is 8 units.
What is an isosceles triangle?An isosceles triangle is a triangle with (at least) two equal sides. A polygon that consists of two equal sides, two equal angles, three edges, three vertices and the sum of internal angles of a triangle equal to 180°.
For the given situation,
The sides of an isosceles triangle are 4 and 8.
In isosceles triangle, two sides have equal length and the base should be less.
From the measurements given, the base could be 4 units and the third side is same as 8 units.
Hence we can conclude that the measure of the third side of an isosceles triangle is 8 units.
Learn more about an isosceles triangle here
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Can someone solve for x? And maybe explain it in a simple way?
Answer:
x=10
Step-by-step explanation:
Because of the two parallel lines, the ratio between the sides must be the same. Since the bottom is 12 to 18 (a ration of two to three) we know that x and x+5 would have the same ratio. Logically, x would have to equal 10 so that x+5 would equal 15 and a ratio of two to three would exist there too. If you go to solve a problem and the answer isn’t obvious, jut set up a ratio.
12/18=x/(x+5)
then cross multiply and solve
12(x+5)=18x
12x+60=18x
60=18x-12x
60=6x
10=x
Answer:
x=10
Step-by-step explanation:
You can set it up as a proportion, since the lines are parallel, the sections are proportionate to each other.
[tex]\frac{x}{12} = \frac{x+5}{18} \\18x=12(x+5)\\18x=12x+60\\6x=60\\x=10[/tex]
whats the ansewr to 4/7--3/7
Answer:
1
Step-by-step explanation:
4-3=1 denominator never changes may i be marked brainliest?
SEND HELP
Write the standard form of the equation of the circle.
9514 1404 393
Answer:
(x +4)^2 +(y +6)^2 = 18
Step-by-step explanation:
The standard form equation for a circle centered at (h, k) with radius r is ...
(x -h)^2 +(y -k)^2 = r^2
The center of the given circle is (-4, -6). The radius (or squared radius) can be found by putting the point (-7, -3) into the left-side expression.
(-7 -(-4))^2 +(-3 -(-6))^2 = r^2 = 9 +9 = 18
Then the equation of the circle is ...
(x +4)^2 +(y +6)^2 = 18
number of side number of triangle sum of the measure of the angles
Answer:
Quadrilateral
#sides = 4
#∆ = 4-2 =2
sum= n(4-2)180° = 360°
pentagon
#sides =5
#∆ = 5-2 = 3
sum = n = (5-2)180° = 540°
Octagon
#sides = 8
#∆= 8-2 = 6
sum = n = (8 - 2)180° = 1080°
Nonagon
#sides =9
#∆ =9-2 = 7
sum = n=(9-2)180° = 1260°
Heptagon
#sides= 7
#∆= 7-2 = 5
sum = n= (7-2)180° = 900°
Write the partial fraction decomposition of the rational expression:
(3x-5)/(x^2 - 6X - 16)
Answer:
Step-by-step explanation:
write an equation in point-slope form of the line that passes through the point (3, 5) and has a slope or -1
Answer:
y = -x + 8
Step-by-step explanation:
m = -1 ; x1 = 3 ; y1 = 5
Slope point form: y - y1 = m(x -x1)
y - 5 = -1(x - 3)
y - 5 = -1x - 3 *(-1)
y - 5 =-x + 3
y = -x + 3 + 5
y = -x + 8
trigonometry
y=? x=?
Answer:
y=9cm
x=90°
Step-by-step explanation:
y=9cm(being perpendicular)
x=90°=being perpendicular)
What are m21 and m_2?
Answer:
<1 = 35degrees
<2 = 30degrees
Step-by-step explanation:
Using the theorem that the sum of external angle is equal to sum of interior angle
Considering the smaller triangle
Exterior angle = 115 degrees
Sum of interior = <1 + 80
Equating both
<1 + 80 = 115
<1 = 115 - 80
<1 = 35degrees
For the big rectangle
Exterior angle = 115 degrees
Sum of interior = <2 + 85
Equating both
<2 + 85 = 115
<2 = 115 - 85
<2 = 30degrees
pls help me ill mark brainliest
Answer:
Step-by-step explanation:
I got 480 in^3
Help Please‼️ Thank you
A company has a total of 209 employees in the marketing and sales offices. For every 5 people employed in sales, there are 14 employed in marketing.
How many people in the office work in marketing?
How many people in the office work in sales?
Answer:
154 people work in marketing.
55 people work in sales.
Step-by-step explanation:
For every 5 people employed in sales, there are 14 employed in marketing.
This means that:
5/(5+14) = 5/19 of people work in sales.
14/(5+14) = 14/19 of people work in marketing.
Total of 209 people:
14*209/19 = 154
154 people work in marketing.
5*209/19 = 55
55 people work in sales.
HELP I REALLY NEED HELP WITH THIS
Write an equation with a variable AND solve it. A truck contained 77 gallons of gas. It leaked 11 gallons per minute, m, until here were 22 gallons left. How many minutes passed?
Equation:
Answer:
Answer:
answer = 5
Step-by-step explanation:
77-22=55
55÷11=5
Cara is making 25 sundaes with mint, chocolate, and vanilla ice cream. 1/5 of the sundaes are mint ice cream and 1/2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?
Answer:
5
Step-by-step explanation:
HOPE THIS HELPS YOU!
brainliest?
Please help me (>^ <)
-Solving Equations with variables on both sides
Answer:
1) x = -1
2) x = 11
3) x = -3
4) x = -14
5) x = -7
6) x = 5
7) x = 12
8) x = -4
Step-by-step explanation:
use the photomath app
True or false
A sample space can be written as an organized list, a table or a tree diagram.