Answer:
X=80
Step-by-step explanation:
9x=320+5x
9x-5x=320
4x=320
X=320/4
X=80
So the number of girls =5×80
=400.
Avni designs a game in which a player either wins or loses 4 points during each turn. Which equation represents all numbers of points, p, a player may have after his or her first turn of the game? A. p = 4 B. p = –4 C. |p| = 4 D. |p| = –4
Answer:
C |p| = 4
Step-by-step explanation:
If a player wins 4points during each turn, then, the total points will be +4points
If the player looses 4points, total points lost will be -4points
The total number of point p the player can have will be represented as;
|p| = 4 (since is both positive and negative 4 )
Note that the nodulus of a variable will return both positive and negative value of that variable
I need some assistance please
Answer:
2x + y = 20 . y=3x
2x + 3x = 20
5x = 20
x/5 = 20/5
x = 4
(4,0)
In science class the ratio to girls to boys is 3 to 7.
If their are 50 students in the class, how many boys are there?
Answer:
15 boys
Step-by-step explanation:
7+3=10
10x5=50
there are 3 boys so
3x5=15
Answer:
35
Step-by-step explanation:
Assume 3x is the number of boys in the class.
And 7x as for the girls.
3x+7x=50
10x=50
x=5
Thus, 7*5=35 boys in the science class
Hope this is helpful!
Rosa purchaded a sofa that was on sale for 20% off. The sofa cost $ 1850. How much does the Sofa cost?
Answer:
Step-by-step explanation:
370
f(x)=0.5-2xsquared find the value of f(x) when x=0
Answer:
f(0) = 0.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 0.5 - 2x²
x = 0
Step 2: Evaluate
Substitute in x: f(0) = 0.5 - 2(0)²Exponents: f(0) = 0.5 - 2(0)Multiply: f(0) = 0.5 - 0Subtract: f(0) = 0.5Answer:
f ( 0 ) = 0.5
Step-by-step explanation:
Step 1:
f ( x ) = 0.5 - 2x² Function
Step 2:
x = 0 Given
Step 3:
f ( 0 ) = 0.5 - ( 2 ( 0 ) )² Multiply
Answer:
f ( 0 ) = 0.5
Hope This Helps :)
Mother had 2/3 of a pound of sugar. She used ¼ of it to make a cake. How much sugar did she use?
Answer:
1/6 lb
Step-by-step explanation:
2/3 * 1/4 = 2/12 = 1/6
A pitcher contains 3.85 L of milk. Anna adds 0.475 Lof
chocolate syrup to make chocolate milk.
How many liters of chocolate milk are in the pitcher?
Answer:
[tex]Volume = 4.325 L[/tex]
Step-by-step explanation:
Given
[tex]Initial = 3.85L[/tex]
[tex]Additional= 0.475L[/tex]
Required
Determine the volume of the chocolate milk
Since, the mixture produces a chocolate milk, then the volume is the addition of milk in the pitcher and the chocolate syrup.
i.e.
[tex]Volume = Initial + Additional[/tex]
[tex]Volume = 3.85L + 0.475L[/tex]
[tex]Volume = 4.325 L[/tex]
Hence, there are 4.325 liters of chocolate milk in the pitcher
which of the following tables can be generated from the equation y equals 2x + 1
Answer: 2 the first one
Step-by-step explanation:
Answer: the first one
Step-by-step explanation:
Write the slope- intercept form of the equation of the line described through (4,5) parallel to y= 1/4x-4
Answer:
y = 1/4 x + 4
Step-by-step explanation:
1. Because the new equation is parallel to y= 1/4x - 4 => the slope is still the same => New equation : y = 1/4x + b ( b is a number that we'll find now)
2. Put x = 4 and y = 5 in the new equation
=> 5 = (1/4)(4) + b
=> b = 4
3. So then we'll have the new equation that is parallel to y = 1/4x-4
A supervisor records the repair cost for 14 randomly selected refrigerators. A sample mean of $79.20 and standard deviation of $10.41 are subsequently computed. Determine the 90% confidence interval for the mean repair cost for the mean repair cost for the refrigerators. Assume the population is approximately normal.
Solve: 4|x-1|+2=0
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A teacher gives students the following math problem to solve: (4.20 – 1) × 5.6
Jo solves the problem with a calculator.
Bella solves the problem without a calculator.
Which statements are true? Check all that apply.
Jo’s method is more efficient because there are multiple decimal operations to perform.
Bella’s method could be used if she wanted to use estimation to check the reasonableness of Jo’s calculations.
Jo’s method is more efficient because some of the calculations cannot be done quickly by hand.
Bella’s method is more efficient because calculators should never be used in school.
Bella and Jo can both get the right answer to the problem.
Answer:
It is 1,2,3, and 5. hope this helps! :)
Step-by-step explanation:
A tree initially measured 18 feet tall. Over the next 3 1/2 years
Answer:
5 ft/yr
Step-by-step explanation:
This is the whole question: A tree initially measured 18 ft tall. Over the next 3 1/2 years, it grew to a final height of 35 1/2 feet. During those 3 1 /2 years, what was the average yearly growth rate of the height of the tree?
The tree grew 35.5 - 18 ft = 17.5 feet in 3.5 years
This average leads to 17.5 ft / 3.5 yr = 5 ft/yr
The question is incomplete, the complete question is;
A tree measured 18 feet tall. Over the next 3 1/2 years, it grew to final height of 35 1/2 feet. During those 3 1/2 years, what was the average yearly growth rate of the height of the tree?
Answer:
5 feet per year
Step-by-step explanation:
Given that the initial height of the tree = 18 feet
Final height of the tree = 35.5 feet
Time interval = 3.5 years
Now;
Increase in length of tree = Final height of the tree - initial height of the tree
Increase in length of tree = 35.5 - 18 = 17.5 feet
Rate of growth of tree = increase in height of tree/ time taken
Rate of growth of tree = 17.5 feet/ 3.5 years
Rate of growth of tree = 5 feet per year
Evaluate the expression you wrote to
find the amount Mr. Parker will pay if
he drives 80 miles.
Answer:
$78 or $78.00
Is this a function?explain your choice.be specific by describing the domain and range values that may be problematic
Answer:
No, this is not a function because this would not pass the vertical line test in which only one y point can be on one x axis not two. As you can see, on (0,3) and (0,(-2)) are on the same x axis. So, not a function.
Use the 3 trig ratios to find each unknown side length. Round all answers to 1 decimal
Note: As you missed to add the graph of mentioning the complete question.
So, I am solving your concept based on an assumed graph which I have attached. It would anyways clear your concept.
Answer:
Please check the explanation!
Step-by-step explanation:
Given the attached graph below, it is clear that the right angle triangle ABC is shown.
Here are some of the information we can get from the right angle triangle ABC such as:
The angle at C = 30°side AB = 8 unitsWe have to determine the unknown side 'x' using the trigonometric ratios
As
tan Ф = opp/adjacent
From the diagram it is clear that
Ф = 30°
opp=8
adjacent = BC = x
so
tan Ф = opp/adjacent
tan 30 = 8/x
1/√3 = 8/x
x = 8×√3
x = 13.9
Therefore, the missing length will be: x = 13.9
What is the slope of the line through the points (-2, -1) and (4, 3)?
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
slope formula: [tex]\frac{y{2}-y{1} }{x{2}-x{1}}[/tex]
x1 and y1 are (-2, -1)
x2 and y2 are (4, 3)
[tex]\frac{3-(-1)}{4-(-2)}[/tex]
[tex]\frac{3+1}{4+2}[/tex]
[tex]\frac{4}{6}[/tex]
[tex]\frac{2}{3}[/tex]
In the equilateral triangle below, x =
and the length of each side is
units.
3x + 6
9x – 12
6x - 3
Step-by-step explanation:
3x+6+9x-12+6x-3=180
15x-9=180
x-9=12
x=21
Find the distance between point N and point M.
-N(-1,2)
*M(-4, 4)
square root of 45
square root of 13
square root of 9
square root of 61
Answer:
(-2.5, 3)
Step-by-step explanation:
Using a table, show 60% of 80 60% of 80 is о
A video game cube has 50 members and is losing 3 members each year a sports club has 15 members and is gaining 2 members each year.After how many years will the clubs have the same amount of members
The area of a circle is 36
[tex]\pi[/tex]
cm?.
What is the radius of this circle?
Write the equation of a line that passes through the
points shown in the table.
Which equations represent a line that passes through
the points given in the table? Check all that apply.
х
y
y-2 = -6(x + 10)
Oy-2=-1(x + 10)
-10
2
Oy-1--1(x + 4)
-4
1
y=-6x - 58
8.
-1
y=-3x+
y=-**+5
14
-2
Answer:
it's b on edge 2020
Step-by-step explanation:
you're welcome :)
The equations of the line that passes throught the point given in the table are as follows;
[tex]y = -\frac{1}{6} x+\frac{1}{3}[/tex]
[tex]y-2=-\frac{1}{6}(x+10)[/tex]
Equation of a straight lineThe linear equation of a striaght line is represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore,
m = 1 - 2 / -4 + 10
m = - 1 / 6
Let's find b using (-10, 2)
2 = - 1 / 6(-10) + b
2 = 5 / 3 + b
b = 2 - 5 / 3
b = 6 - 5 / 3
b = 1 / 3
hence,
[tex]y = -\frac{1}{6} x+\frac{1}{3}[/tex]
using y - y₁ = m(x - x₁)
y₁ = 2
x₁ = -10
m = - 1 / 6
Hence,
[tex]y-2=-\frac{1}{6}(x+10)[/tex]
learn more on equation of a line here: https://brainly.com/question/20897328
#SPJ5
Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms X Clear * Undo Redo
Answer:
[tex]T_{10} = 0.05078125[/tex]
[tex]S_{18} = 51.9998016358[/tex]
Step-by-step explanation:
Given:
Sequence = 26, 13, 6.5 ....
Solving (a): The 10th term
The sequence is a geometric progression and the nth term will be solved using:
[tex]T_n = ar^{n-1}[/tex]
In this case:
[tex]n = 10[/tex]
[tex]r = \frac{T_2}{T_1}[/tex] --- Common Ratio
[tex]r = \frac{13}{26}[/tex]
[tex]r = 0.5[/tex]
[tex]a = 26[/tex] --- First term
So, [tex]T_n = ar^{n-1}[/tex] becomes
[tex]T_{10} = 26 * 0.5^{10-1}[/tex]
[tex]T_{10} = 26 * 0.5^{9}[/tex]
[tex]T_{10} = 26 * 0.001953125[/tex]
[tex]T_{10} = 0.05078125[/tex]
Solving (b): The sum of first 18 terms
This will be calculated using:
[tex]S_n = \frac{a(1 - r^n)}{1 - r}[/tex]
Substitute values for n, a and r
[tex]S_{18} = \frac{26 * (1 - 0.5^{18})}{1 - 0.5}[/tex]
[tex]S_{18} = \frac{25.9999008179}{0.5}[/tex]
[tex]S_{18} = 51.9998016358[/tex]
Hence, the sum of first 18 terms is 51.9998016358
1 3/4 divided by 1/2-1 1/2 to the 3rd
Answer:
-7/4
1/8
Step-by-step explanation:
1. If the problem is; (1 3/4) / (1/2 - 1 1/2)^(3)
(a). Convert to improper fractions;
(7/4) / (1/2 - 3/2)^3
(b). Simplify;
(7/4) / (-2/2)^3
(7/4) / (-1)^3
(7/4) / (-1)
-7/4
2. If the problem is; ((1 3/4) / (1/2)) - (1 1/2)^3
(a). Convert to improper fractions;
((7/4)/ (1/2)) - (3/2)^3
(b). Simplify;
((7/4)/ (1/2)) - (3/2)^3
((7/4)*(2/1)) - (27/8)
(7/2) - (27/8)
(28/8) - (27/8)
1/8
There are 25 questions in a quiz, what is the minimum score you can get
Answer:
7/25
Step-by-step explanation:
From randomly guessing, it depends on how many you think you got right and how many you really don't know. You could get all 25 wrong, but more likely at random get 7 right.
Answer:
The minimum score you can get is 0.
Step-by-step explanation:
Carmen is designing an intersection of the rail line and four streets. She wants to know which streets are parallel.
Transversal t crosses lines c, d, e, f forming 16 angles. Clockwise from top left, the angles formed with line c are blank, blank, blank, 114 degrees; with line d are blank, blank, 68 degrees, blank; with line e are blank, 112 degrees, blank, blank; with line f are blank, blank, 66 degrees, blank.
Which streets are parallel? Check all that apply.
c || d
c || e
c || f
d || e
d || f
e || f
Answer:
c || f d || e
step-by-step explanation:
Answer:
C and D
or
c || f
d || e
Hope this Helps!
Solve for a.
5a2=980
Enter your answers in the boxes.
a proportional relationship is represented on a graph with a line that has a slope of 40 what is the unit rate
Answer:40
Step-by-step explanation:
Find the area of a right isosceles triangle with hypotenuse 10\sqrt{2}10
2 units
Answer:
A = 50 square units
Step-by-step explanation:
Right Triangles
A right triangle is identified because it has one internal angle of 90°.
The longest side is called hypotenuse and the other two sides are called legs. Being c the hypotenuse and a and b the legs, the Pythagora's theorem relates the with the equation:
[tex]c^2=a^2+b^2[/tex]
If the triangle is also isosceles, then both legs have the same measure or a=b:
[tex]c^2=a^2+a^2=2a^2[/tex]
Since we know the hypotenuse has a measure of 10\sqrt{2}:
[tex](10\sqrt{2})^2=2a^2[/tex]
Operating:
[tex]100*2=2a^2[/tex]
Dividing by 2:
[tex]a^2=100~~\Rightarrow a=\sqrt{100}[/tex]
a = 10 units
The area of the triangle is:
[tex]\displaystyle A=\frac{a.b}{2}[/tex]
[tex]\displaystyle A=\frac{10*10}{2}[/tex]
A = 50 square units