Answer:
Number of two point goals = 169
Number of three point goals = 123
Number of free throws = 139
Step-by-step explanation:
Let the number of two point goals = [tex]x[/tex]
Let the number of three point goals = [tex]y[/tex]
Let the number of free throws = [tex]z[/tex]
As per the given statements:
[tex]x = 2y-77 ...... (1)[/tex]
[tex]z = x-30 ...... (2)[/tex]
Using equation (1):
[tex]z = 2y-107[/tex] ...... (3)
Total number of points from two point goals = [tex]2x[/tex]
Total number of points from three point goals = [tex]3y[/tex]
Total number of points from free throws = [tex]z[/tex]
[tex]2x+3y+z=846[/tex]
using (1) and (3):
[tex]2(2y-77)+3y+2y-107=846\\\Rightarrow 4y-154+5y-107=846\\\Rightarrow 9y-261=846\\\Rightarrow 9y=846+261\\\Rightarrow 9y=1107\\\Rightarrow y =123[/tex]
By (1):
[tex]x = 2\times 123-77 =169[/tex]
By (3):
[tex]z =2\times 123-107 = 139[/tex]
So, answers are:
Number of two point goals = 169
Number of three point goals = 123
Number of free throws = 139
What is the value of w?
2/5 (w+5) = 4/5
Answer:
W = -3
Step-by-step explanation:
Answer:
w = - 3
Step-by-step explanation:
Given
[tex]\frac{2}{5}[/tex] (w + 5) = [tex]\frac{4}{5}[/tex]
Multiply both sides by 5 to clear the fractions
2(w + 5) = 4 ( divide both sides by 2 )
w + 5 = 2 ( subtract 5 from both sides )
w = - 3
in the calculations shown, what will the units of the final answer be? 18 meters/second x 3600 secons/1 hour x 1 mile/ 1609meters A.meters/hour B. miles/second C. meters/second D.miles/hour
Answer:
D. miles/hour
Step-by-step explanation:
The units analysis tells you the units are ...
[tex]\dfrac{\text{m}}{\text{s}}\times\dfrac{\text{s}}{\text{h}}\times\dfrac{\text{mi}}{\text{m}}=\boxed{\dfrac{mi}{h}}[/tex]
Units of meters and seconds cancel, leaving miles/hour.
what is X in the equation. -38+6x = -12x+52
Answer:
x=5
Step-by-step explanation:
add 38 to to the pther side
combine 38+52=90
add 12 to the other side
12+6=18
divide 90 by 18= 5
Can someone answer this circle equation question? PLEASE SHOW STEPS
Answer:
A
Step-by-step explanation:
oh steps are here!
Answer:
a) 5
Step-by-step explanation:
2x² - 6x + 2y² + 2y = 45
Complete the square and get it in the form (x-a)² + (y -b)² = r²
2x² - 6x + 2y² + 2y = 45
Divide the equation by 2
x² - 3x + y² + y = 45/2
x² - 3x + ? + y² + y + ?? = 45/2
? -----> (x coefficient by 2)² = (3/2)² = 9/4
?? ----> (y coefficient by 2)² = (1/2)² = 1/4
Add (9/4) & (1/4) to both sides,
x² -3x +(9/4) + y² + y + (1/4) = (45/2)+ (9/4) + (1/4)
(x - 3/2)² + (y + 1/2)² = (90/4) + (9/4) + (1/4)
[tex](x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=\frac{90+9+1}{4}\\\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=\frac{100}{4}\\\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=25\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=5^{2}[/tex]
Radius = 5
if the sum of a term of an ap is 2n square + 5n then find the 4th term
Answer:
19
Step-by-step explanation
Let the sum of n terms of A.P. = Sn
Enter the sum of numbers as a product of their GCF. 75 + 30 The sum of the numbers as a product of their GCF is
Answer: 75+30 = 15 x 7
Step-by-step explanation:
The given expression is 75+30 (=105) which defines the sum of 75 and 30.
Prime factorization of 75 and 30 are as below:
75 = 5 x 5 x 3
30 = 5 x 3 x 2
GCD (75,30) = 5x 3 = 15 [Note: GCD = Greatest common divisor]
Consider 75+30 = (15 x 5) + (15 x 2) [75 = 15 x 5 and 30= 15 x 2]
= 15 (5+2) [taking 15 as common ]
= 15 x (7)
(=105)
So, 75+30 which is sum of the numbers and it is expressed as 15 x 7 which a product of their GCF.
let f(x)=x-3and h(x)=x2+6.what is (h⁰g)(1)
Answer:
The answer is 10 .
Step-by-step explanation:
f(x) = x-3
h(x) = [tex]x^{2} +6[/tex]
Now ,
hog(1)
=h (1-3)
=h (-2)
= [tex](-2)^{2}[/tex] +6
= 4+6
= 10
-5x+7x+8=1+3x im am looking for what makes this equation true
Answer:
x=7
Step-by-step explanation:
Start with the left side
-5x+7x+8
combine like terms
2x+8=1+3x
subtract 2x from both sides to get 8=1+x
subtract 1 from both sides to get 7
put the variable on the left
x=7
Hope this helps :-)
Sharonda is plotting quadrilateral PQRS on the graph below. She will plot the fourth and
final vertex, S, at (9,5). What will be the length of side PS?
Answer:
11 units
Step-by-step explanation:
Length of side PS can be calculated using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Where,
[tex] P(-2, 5) = (x_1, y_1) [/tex] (the coordinate of P is gotten from the graph)
[tex] S(9, 5) = (x_2, y_2) [/tex] (given)
[tex] PS = \sqrt{(9 - (-2))^2 + (5 - 5)^2} [/tex]
[tex] PS = \sqrt{(11)^2 + (0)^2} [/tex]
[tex] PS = \sqrt{121} = 11 units [/tex]
25 POINTS -4(x+2) Plz help asap
Answer:
[tex] - 4x - 8[/tex]
Step-by-step explanation:
[tex] - 4(x + 2) = - 4x - 8[/tex]
Hope this helps ;) ❤❤❤
Answer: It's -4x- 8
Step-by-step explanation: Hope it hepls.
a college admissions office collects data from each incoming freshman on several quantitative variables distance from their home to campus, number of siblings, how many books they have read in the past month and how long it took them to complete an online survey. classify each variable as discrete or continuous
Answer:
1) Distance from their home to campus → Continuous
2) The number of siblings → Discrete
3) How many books they have read in the past month → Discrete
4) How long it took them to complete an online survey → Continuous
Step-by-step explanation:
A discrete variable is a variable with a constant value which is found to be accurate by counting of articles in the subject.
Examples of discrete variables are the amount of money in a person's pocket, the number of people in a bus
A continuous variable is one that is a variable that if it is possible for the variable to have values between two values, then the variable can have any of the values in between the two values
Example of a continuous variable are
The Height of people within a building
The distance traveled to a location.
Therefore, we have the following classification of the data is given as follows;
1) from their home to campus is a Continuous variable
2) The number of siblings is a Discrete variable
3) How many books they have read in the past month is a Discrete variable
4) How long it took them to complete an online survey is a Continuous variable.
HELP PLEASE!!!!!! ONLY HAVE 40 MINUTES
Answer:
B. f(x) domain: x ≥ 1
f–1(x) range: y ≥ 1
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
Because the two functions are inverse to each other, so we all know that the domain of f(x) will be the range of and the range of f(x) will be the domain of
As can be seen from the attached photo,
f(x) extends to the right of x=1, so its domain is x ≥ 1.
<=> range is y≥ 1.
Therefore, we choose answer B
Hope it will find you well.
(I found this somewhere else)
Expresa en lenguaje algebraico la expresión: Dimensiones de un rectángulo en el que su largo tiene 6 metros más que el ancho.
Answer:
Expresa la expresión en lenguaje algebraico: Dimensiones de un rectángulo en el que su longitud es 6 metros más que su ancho.
Sea la longitud representada por ly el ancho por w
entonces ; l = 6 metros + w
Step-by-step explanation:
How would I create a graph for this equation? The equation is c=4.95+3.99b
Answer:
plot two points and draw a line through them
Step-by-step explanation:
The graph is created for this the same way it is for any function: find some points on the graph, plot them, and draw an appropriate curve through them.
Since this is a linear equation, the graph is a straight line. Only two points are needed to allow you to plot the entire line.
For b=0, the point is (b, C) = (0, 4.95)
For b=5, the point is (b, C) = (5, 24.90)
The graph might look like the attached.
_____
For b=5, the equation gives ...
C = 4.95 +3.99(5) = 4.95 +19.95 = 24.90
30 seconds of 2.5 mins in percentage
Answer:
20%
Step-by-step explanation:
2.5 min =(60×2.5)sec=150 sec
30sec to 150sec=30×100/150=20%
Answer:
20 %
Step-by-step explanation:
2.5 mins = 150 sec
30 sec of 150 sec in % = 30/150 × 100
= 20 %
*PLEASE ANSWER, DIFFICULT QUESTION, ASAP* An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup. This is a tree diagram that represents the probability of customers choosing the different ice cream options.
What is the value of Z?
a.)0.2
b.)0.45
c.)0.4
d.)0.35
Answer:
What was it?
Step-by-step explanation:
¿Cuál es la intersección con el eje y de la gráfica de la ecuación? y = X 2 - 2 X + 3?
Answer:
1
Step-by-step explanation:
la respuesta sería un por que si multiplicas el 2 y luego más tres te da un resultado como uno
Answer:
Step-by-step explanation:
mZAOB = 6x- 12°
mZBOC = 3x+ 30°
Find mZAOB:
Answer:
36°
Step-by-step explanation:
I’m assuming <AOC is a right angle.
6x-12+3x+30=90
9x+18=90
9x=90-18
9x=72
x=8
<AOB=6x-12=6*8-12=48-12=36°
Let f(x) = x2 − 8x + 5. Find f(−1).
Answer:
14
Step-by-step explanation:
[tex]f(x)=x^2-8x+5\\f(-1)=(-1)^2-8(-1)+5\\f(-1)=1+8+5\\f(-1)=14\\[/tex]
Please help me qwq In a reflection, what are corresponding angles?!
Answer: When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Example: a and e are corresponding angles. When the two lines are parallel Corresponding Angles are equal.
Identify the missing factors:
d) 20 = (4) (?)
e) -14x = (7)(?)
f) x3 =x2 (?)
Ur solution is in the attachment.
Answer:
d) ? = 5
e) ? = -2x
f) ? = x
Step-by-step explanation:
d) 20 = (4)(?)
20/4 = ?
5 = ?
Check:
20 = 4*5
e) -14x = (7)(?)
-14x/7 = ?
-2x = ?
Check:
-14x = 7*-2x
f) x³ =x² (?)
x³/x² = ?
x³⁻² = ?
x¹ = ?
x = ?
Check:
x³ = (x²)(x)
The quotient of 64 and x
Answer:
[tex]\frac{64}{x}[/tex] quotient means you divide
Step-by-step explanation:
Maylin is mailing a package that has the
size shown below. What is the volume
of the package? Write the expression
you used to find the volume.
7 in.
Area of base:
54 in.2
Answer:
V=378 inch³
Step-by-step explanation:
The package is in the shape of a cuboid. The volume of a cuboid is given by :
V = lbh
l=length, b=breadth and h=height
Area of base = 54 inch²
Height of box, h = 7 in
It means that, volume of the package is :
V = 54 × 7
V=378 inch³
So, the volume of the package is 378 inch³.
En un triangulo ABC, el angulo B mide 64° y el angulo C mide 72°. La bisectriz interior CD corta a la altura BH y a la bisectriz BM en P y Q respectivamente. Hallar la diferencia entre el mayor y menor angulo del triangulo PBQ.
Answer:
The difference between the greatest and the smallest angle of the triangle PBQ is 98°.
Step-by-step explanation:
The question is:
In a triangle ABC, angle B measures 64 ° and angle C measures 72°. The inner bisector CD intersects the height BH and the bisector BM at P and Q respectively. Find the difference between the greatest and the smallest angle of the triangle PBQ.
Solution:
Consider the triangle ABC.
The measure of angle A is:
angle A + angle B + angle C = 180°
angle A = 180° - angle B - angle C
= 180° - 72° - 64°
= 44°
It is provided that CD and BM are bisectors.
That:
angle BCP = angle PCH = 36°
angle CBQ = angle QBD = 32°
angle BHC = 90°
Compute the measure of angle HBC as follows:
angle HBC = 180° - angle BHC + angle BCH
= 180° - 90° - 72°
= 18°
Compute the measure of angle BPC as follows:
angle BPC = 180° - angle PCB + angle CBP
= 180° - 18° - 36°
= 126°
Then the measure of angle BPQ will be:
angle BPQ = 180° - angle BPC
= 180° - 126°
angle BPQ = 54°
Compute the measure of angle PBQ as follows:
angle PBQ = angle B - angle QBD - angle HBC
= 64° - 32° - 18°
angle PBQ = 14°
Compute the measure of angle BQP as follows:
angle BQP = 180° - angle PBQ - angle BPQ
= 180° - 14° - 54°
angle BQP = 112°
So, the greatest and the smallest angle of the triangle PBQ are:
angle BQP = 112°
angle PBQ = 14°
Compute the difference:
d = angle BQP - angle PBQ
= 112° - 14°
= 98°
Thus, the difference between the greatest and the smallest angle of the triangle PBQ is 98°.
A lot is 50 m by 32 m. A house 27 m by 9 m is built on the lot. How much area is left over?
Answer:
1357 sq.m
Step-by-step explanation:
50*32= 1600
27*9= 243
Area left = 1600 - 243 = 1357
Simplify 24y^7z^3/6yz^6
Answer: 24x^6e^4/7ry^3
Step-by-step explanation:
Use the figure to answer the question.
9 cm
10 cm
18 cm
9 cm
4 cm
10 cm
What is the volume of the figure? Enter the answer in the box.
cubic centimeters
Answer:
1,530 cm³
Step-by-step explanation:
The figure consists of two rectangular prism or cuboid.
The dimension of cuboid 1:
[tex] l = 10cm, w = 9cm, h = 9cm [/tex]
[tex] Volume_1 = l*w*h = 10*9*9 = 810 cm^3 [/tex]
The dimension of cuboid 2:
[tex] l = 18cm, w = 10cm, h = 4cm [/tex]
[tex] Volume_2 = l*w*h = 18*10*4 = 720 cm^3 [/tex]
Volume of the figure = 810 + 720 = 1,530 cm³
Answer: 1,530
Step-by-step explanation:
-2x + 4x = -4 + 0
What is the answer?
Answer:
x = -2
Step-by-step explanation:
-2x + 4x = -4 + 0
2x = -4
2x/2 = -4/2
x = -2
Hope this helps.
Answer:
The answer is -2
Step-by-step explanation:
You add the 4x to the -2x to get 2x, then you add -4 to zero to get -4. You are then left with 2x=-4 meaning that x would be -2
A bakery the price of the cake is nine dollars more than the price of a pie. One day the bakery sold 8 cakes and 14 pies for a total of $402. The system of equations below can be used to find c the cost in dollars of a cake and P the cost in dollars of a pie. What is the price of a cake?
Answer:
The price of the cake is $24 and the price of the Pie is $15
Step-by-step explanation:
Given
Represent price of Cake with C and Price of Pie with P
[tex]C = 9 + P[/tex]
Cakes sold = 8
Pies sold = 14
[tex]Total = \$402[/tex]
Required
Determine C and P
To represent the cakes and pies sold, we have the following expression
[tex]8C + 14P = 402[/tex]
Substitute 9 + P for C
[tex]8(9+P) + 14P = 402[/tex]
Open the bracket
[tex]72 + 8P + 14P = 402[/tex]
Collect Like Terms
[tex]8P + 14P = 402 - 72[/tex]
[tex]22P= 330[/tex]
Divide both sides by 22
[tex]P = \frac{330}{22}[/tex]
[tex]P = 15[/tex]
Recall that
[tex]C = 9 + P[/tex]
[tex]C = 9 + 15[/tex]
[tex]C = 24[/tex]
Hence, the price of the cake is $24 and the price of the Pie is $15
WILL MARK BRAINLIEST
NEED HELP ASAP
Solve for x: 3/ 4 x+ 1 /4 =2x
Answer:
X=1/5
Step-by-step explanation:
Please see the attachment.
Answer:
Maybe? kinda confused
Step-by-step explanation:
3/4x+1/4=2x
-3/4 -3/4
x+1/4=1 1/4
-1/4 -1/4
x=1