Answer:
√81/63
Step-by-step explanation:
(9x-18)7x+5= 63x^2-86+5; 63x^2=81;x=√81/63
WHAT IS THE SOLUTION TO THIS LINEAR SYSTEM?
The coordinate plane has the following points A=(2, 1), B=(5, 1), C=(7,2), and 1 point
D=(4,2). What is the length of CD?
Answer:
d = 3
Step-by-step explanation:
Coordinate Plane
The image provided shows the four points given:
A=(2, 1), B=(5, 1), C=(7,2), D=(4,2).
It can be clearly seen the length of CD is just the difference of their x-coordinates:
CD = 7 - 4 = 3
We can also use the formula of the distance.
Given two points C(x,y) and D(w,z), the distance between them is:
[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]
[tex]d=\sqrt{(2-2)^2+(7-4)^2}[/tex]
[tex]d=\sqrt{0^2+3^2}[/tex]
[tex]d=\sqrt{9}[/tex]
d = 3
A basketball player for the Seattle Supersonics averages about 2 three-pointers for every 5 he shoots. If he attempts 10 three-pointers in a game,
how many would you expect him to make ?
a
8
b
25
c
4
d
5
Answer:
C. 4
Step-by-step explanation:
If he makes 2 for every five then he will make 4 for every 10 he shoots
Solve this picture problem
Answer:
5 boxes with a X on it
Step-by-step explanation:
The number of apps a developer sells daily has the probability distribution represented in the table.
Number of Apps, x | 0 20 40 60 80 100
P(x) 0.05 0.25 | 0.18 0.12 0.3 0.1
If each app sells for $5.99, what is the expected daily total dollar amount taken in by the developer from the sale of apps?
A. $5.99
B. $53.40
C. $59.90
D. $314.22
E. $319.87
Answer:
Total amount taken in by the depeloper from the sale of apps = sum(5.99 * x * P(x))
= 5.99*0*0.05 + 5.99*20*0.25 + 5.99*40*0.18 + 5.99*60*0.12 + 5.99*80*0.3 + 5.99*100*0.1
= 319.87
Ans: $319.87
Step-by-step explanation:
The expected daily total dollar amount taken in by the developer from the sale of apps is $319.87 option (E) is correct.
What is uniform distribution?The continuous uniform distribution, sometimes known as the rectangle distribution, is a family of symmetric probability distributions in probability theory and statistics.
We have:
The number of apps a developer sells daily has the probability distribution represented in the table:
Number of Apps, x 0 20 40 60 80 100
P(x) 0.05 0.25 0.18 0.12 0.3 0.1
Each app sells for $5.99
We can calculate the expected daily total dollar amount taken in by the developer from the sale of apps:
The total amount is taken in by the developer from the sale of apps:
= sum(5.99x[P(x)])
= 5.99×0×0.05 + 5.99×20×0.25 + 5.99×40×0.18 + 5.99×60×0.12 +
5.99×80×0.3 + 5.99×100×0.1
= 0 + 29.95 + 43.128 + 43.128 + 143.76 + 59.9
= 319.866 ≈ $319.87
Thus, the expected daily total dollar amount taken in by the developer from the sale of apps is $319.87 option (E) is correct.
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Find the missing number so that the equation has no solutions.
Answer: ok
Step-by-step explanation: I THINK it E2
Answer:
-6
Step-by-step explanation:
2x-8=-6x-11
Expresiones algebraicas. 1- Escribe en el lenguaje algebraico las siguientes expresiones del lenguaje común. Dos terceras partes de un número. ____________________________ Un número menos su doble. ________________________________ La suma de los cuadrados de tres números. _____________________ El producto de dos números divididos por un tercer número.________________ La suma de tres números consecutivos. _____________________________
Answer:
Dos terceras partes de un número: [tex]\frac{2}{3}*x[/tex]
Un número menos su doble: x - 2*x
La suma de los cuadrados de tres números: x² + y² + z²
El producto de dos números divididos por un tercer número: [tex]\frac{x*y}{z}[/tex]
La suma de tres números consecutivos: x+(x+1)+(x+2)
Step-by-step explanation:
Una expresión algebraica es un conjunto de números y letras que se combinan con los signos de las operaciones aritméticas. En otras palabras, el lenguaje algebraico es el que utiliza letras, símbolos y números para expresar en forma breve y concisa enunciados en los que se pide realizar operaciones matemáticas.
Entonces, siendo x, y, z números al cual desear aplicar una operación aritmética, y teniendo en cuenta que:
dos terceras partes= [tex]\frac{2}{3}[/tex]doble: se calcula multiplicando el número por 2Cuadrado de un número n: se representa como n², y se calcula multiplicando el número por sí mismo.Producto: hace referencia a la multiplicación.Un número consecutivo se obtiene sumando una unidad al anterior.las siguientes expresiones escritas en lenguaje algebraica serán:
Dos terceras partes de un número: [tex]\frac{2}{3}*x[/tex]
Un número menos su doble: x - 2*x
La suma de los cuadrados de tres números: x² + y² + z²
El producto de dos números divididos por un tercer número: [tex]\frac{x*y}{z}[/tex]
La suma de tres números consecutivos: es la suma del primer número, más el segundo que seria el primero más uno, más el tercero que seria el primero más 2. Esto es: x+(x+1)+(x+2)
I need help with this one exercise to finish so any help would be greatly appreciated!
|4x - 3| + 10 < 2
Answer:
No Solutions
Step-by-step explanation:
for |4x -3| + 10 < 2
|4x - 3| < -8
Not possible since absolute value is positive
-10=-b/4 can some on pls help me
Answer:
b = 40
Step-by-step explanation:
The first step you have to do is multiply 4 on each side to cancel out the 4 under -b, so you can get b by itself.
4 x -10 = -b x 4 should get this -40 = -b
4
Now the final step is to divide -1 on each side to cancel out the negative by b, thus getting b by itself. Then once that is done you will see that your answer is b=40.
-40 = -b should get this 40=b or b=40
-1 -1
Hope this helped!
2.
Ms. Lecky ordered pizza for a party. 1 5/8 of the vegetarian pizza and 2/3
of the ham and pineapple pizza were not eaten. How much pizza was left
The standard form of y = -x + 2 is x + y = 2.
Group of answer choices
True
False
What is the difference of (-3.4x + 4.7) - (3 + 2.9x)?
A. -0.5x + 1.7
B. -6.3x - 1.7
C. -0.5x - 1.7
D. -6.3x + 1.7
Answer:
-6.3x +1.7
Step-by-step explanation:
(-3.4x +4.7) - (3+2.9x)
= - 3.4x - 2.9x +4.7 - 3
= - 6.3x + 1.7
Answer:
d
Step-by-step explanation:
URGENT!! DUE IN 15 MIN!!
*don't mind the answer I chose*
What is 38% of 96? just need someomne to walk me through it plz
Answer:
37.24
Step-by-step explanation:
ok so there's a strategy I got taught ready?
100%- 96.
38%-x
~cross multiply~
100x= 3724
÷100 ÷100
________________
x=37.24
Hope this helps :D p.s- i recommend using this strategy :D
Answer:
38.96
Step-by-step explanation:
Ok so its hard to explain but 38% u move the percent sign 2 times to the left and then u get 38. then u put 96 as the decimal there it is!
PLEASE HELP!
Fill in the blank
1. 40 times the sum of 24 and 36
2. Divide the difference between 1,600 and 400 by 4
Answer:
A. The expression of "40 times the sum of 24 and 36" would be 40 x (24+36), and the value would be 2400.
B. for the words portion it would be "20 times the sum of 650 and 350", and the value of that expression is 20,000.
C. The expression of "divide the difference between 1,600 and 400 by 4" should be 1200 / 4, and if that is the correct way to format the expression then the value would be 300.
D. for the words portion it would be "100 times the sum of 78 and 12", and the value of that expression is 10,000.
Step-by-step explanation:
Answer:
40 times the sum of 24 and 36
40 × (24 + 36)
2400
20 times the sum of 650 and 350
20000
divide the difference between 1600 and 400 by 4
(1600 - 400) ÷ 4
300
100 times the sum of 78 and 12
9000
The sum of the measures of the three angles is equal to 180 degrees. What is the measure of angle B?
The angle measures of a triangle are shown
Angle A: (5x - 5) degrees
Angle B: (3x + 3) degrees
Angle C: (5x) degrees
Answer:45°
Step-by-step explanation:
First we need to find x
(5x-5)+(3x+3)+(5x)=180
Simplify
13x-2=180
Add 2 to each side
13x=182
Divide each side by 13
x=14
Now apply our x to angle B
3(14)+3
42+3
45
Angle B=45°
In the accompanying diagram of triangle XYZ and triangle ABC, angle X cong angle A and angle Y cong angle B . If XY = 5 , YZ = 12 , and AB = 15 , what is BC? A 15X 5 Y12B с
Answer:
BC = 36
Step-by-step explanation:
If <X ≅ <A, and <Y ≅ B, therefore ∆XYZ is similar to ∆ABC.
Since ∆XYZ is similar to ∆ABC, it follows that the ration of their corresponding side lengths would be equal.
That is:
[tex] \frac{AB}{XY} = \frac{BC}{YZ} = \frac{AC}{XZ} [/tex]
AB = 15
XY = 5
YZ = 12
Thus:
[tex] \frac{AB}{XY} = \frac{BC}{YZ} [/tex]
Plug in the values
[tex] \frac{15}{5} = \frac{BC}{12} [/tex]
Multiply both sides by 12
[tex] \frac{15}{5}*12 = \frac{BC}{12}*12 [/tex]
[tex] \frac{15*12}{5} = BC [/tex]
[tex] 36 = BC [/tex]
The length of the segment BC is 36 and this can be determined by using similar triangle properties and the given data.
Given :
Angle X congruent to angle A and angle Y congruent to angle B. XY = 5 , YZ = 12 , and AB = 15.The following steps can be used in order to determine the length of the segment BC:
Step 1 - According to the given data, XY = 5 , YZ = 12 , and AB = 15. Also angle X congruent to angle A and angle Y congruent to angle B.
Step 2 - So, according to the given data, it can be concluded that both the triangles are similar.
Step 3 - From the above steps, it can be concluded that the corresponding sides ratios of the triangles are equal.
[tex]\rm \dfrac{AB}{XY}=\dfrac{BC}{YZ}=\dfrac{AC}{XZ}[/tex]
Step 4 - Now, substitute the values of YZ, XY, and AB in the above expression.
[tex]\rm \dfrac{15}{5}=\dfrac{BC}{12}[/tex]
Step 5 - Simplify the above expression.
BC = 36
For more information, refer to the link given below:
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your friend is choosing between two music download companies. MyTunes charges $2.50 per song. Great Songs charges $1.50 per song and has a one-time membership fee of $50. When will Great Songs be the better deal?
Answer:
After 100 songs
Step-by-step explanation:
2.50x=1.50x+50
.50x=50
÷.50
X=100
Great Songs will be the better deal after 100 songs.
What are mathematical operations?Mathematical operations can also be defined by using built-in functions to subtract, divide, and multiply. The arithmetic operator is the one who conducts the arithmetic operation.
* Multiplication procedure: Values on both sides of the operator are multiplied.
For instance, 7×2 = 14
/ Division: Divides the left operand by the right operand
For instance, 4/2 = 2
MyTunes imposes a fee of $2.50 per song. Great Songs charges $1.50 for each song and includes a $50 one-time membership fee, as stated in the question.
Let the songs that come after Great Songs would be x, the better the deal.
⇒ 2.50x = 1.50x + 50
⇒ 0.50x = 50
Divided by 0.50 into both sides of the equation,
⇒ x = 100
Therefore, Great Songs will be the better deal after 100 songs.
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There are 80 cups of water in 5 gallons of water. What is the total number of cups of water in one half-gallon of water?
Answer:
8 cups
Step-by-step explanation:
Answer:
8 Cups
Step-by-step explanation:
The first thing you do is divide 80 by 5 and it will give you 16. It says one half gallon so 16 is for a full gallon so you will end up dividing 16 by 2 and get eight.
What must be true about the sides and angles of congruent triangles?
Answer:
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
Answer:
sides stay the same length and angles must be equal
Step-by-step explanation:
Please help me with this question, I will really appreciate it.
Answer:
Is that army I spot here?
Step-by-step explanation:
The arithmetic sequence a_ia i a, start subscript, i, end subscript is defined by the formula: a_1 = 15a 1 =15a, start subscript, 1, end subscript, equals, 15 a_i = a_{i - 1} -7a i =a i−1 −7a, start subscript, i, end subscript, equals, a, start subscript, i, minus, 1, end subscript, minus, 7 Find the sum of the first 660660660 terms in the sequence.
Answer:
-1,512,390
Step-by-step explanation:
Given
a1 = 15
[tex]a_i = a_{i-1} -7[/tex]
Let us generate the first three terms of the sequence
[tex]a_2 = a_{2-1}-7\\a_2 = a_1 - 7\\a_2 = 15-7\\a_2 = 8[/tex]
For [tex]a_3[/tex]
[tex]a_3 = a_{3-1}-7\\a_3 = a_2 - 7\\a_3 = 8-7\\a_3 = 1[/tex]
Hence the first three terms ae 15, 8, 1...
This sequence forms an arithmetic progression with;
first term a = 15
common difference d = 8 - 15 = - -8 = -7
n is the number of terms = 660 (since we are looking for the sum of the first 660 terms)
Using the formula;
[tex]S_n = \frac{n}{2}[2a + (n-1)d]\\[/tex]
Substitute the given values;
[tex]S_{660} = \frac{660}{2}[2(15) + (660-1)(-7)]\\S_{660} = 330[30 + (659)(-7)]\\S_{660} = 330[30 -4613]\\S_{660} = 330[-4583]\\S_{660} = -1,512,390[/tex]
Hence the sum of the first 660 terms of the sequence is -1,512,390
For what value of a does the equation 3x+5=Ax+5
A small fruit basket costs $8 and a large fruit basket costs $24. The small basket
contains 6 apples and 4 pears. The large basket contains 18 apples and 12 pears.
a. Write a system of linear equations to represent this situation.
b. Can you find the unit price of each fruit?
Answer:One apple is 1.17
One pear 0.25
See below :)
Step-by-step explanation:
Stella sold five items at a
garage sale for $12.50, $2.75,
$0.50, $20.00, and $8.50.
How much money did she
make? Plz help
Answer:
$44.25
Step-by-step explanation:
12.5 + 2.75 + .5 + 20 + 8.5 =44.5
2.75 + .5 = 3.25
20 + 12.5 + 32.5
3.25 + 32.5 + 8.5 = 44.25
Write an expression equivalent to: -3(6x-10)
Answer:
Pemdas:
Step-by-step explanation:
-3*6x then -3*10
-18x+30= -0.6
What is the solution of the system
of equations?
2x + 5y = 20
y=-2/5x-1
Answer: the answer is A
Step-by-step explanation
I Took The Quiz
There are 6 ouces of dough and 4 ounces of suase for each person at a party including yourself once you have a total of guest you buy exactly the needed amount of all ingredientsthe dough and sause weigh 130 ounces all together how many ounces of dough did you buy and how many ouces of suase did you buy and how may guests are coming to the party?
Answer:
Number of guests = 13
Sauce = 52 ounces
Dough = 78 ounces
Step-by-step explanation:
you are having a pizza making party. You will need 6 ounces of dough and 4 ounces of sauce for each person at the party (including myself the host) Once you have a total count of guests you have exactly the amount needed for ingredients. the dough and sauce that I have is 130 ounces all together. How many ounces of dough did I buy? Explain How many ounces of sauce did I buy? Explain How many guests are coming to the party? Explain
Dough = 6 ounces
Suase = 4 ounces
Dough + sauce = 6 + 4 = 10
Let x = total number of guests
Dough ingredients + sauce ingredients = 130
10x = 130
Divide both sides by 10
x = 130/10
= 13
x = 13
Number of guests = 13
Total ounces of dough = 6 ounces × 13 guests
= 78 ounces of dough
Total ounces of sauce = 4 ounces × 13 guests
= 52 ounces of sauce
Therefore,
Number of guests = 13
Sauce = 52 ounces
Dough = 78 ounces
The small rectangle was enlarged to create the big rectangle. A smaller rectangle has a length of 12 feet and a width of 2 feet. A larger rectangle has a length of x feet and a width of 5 feet. Not drawn to scale What is the missing measure on the big rectangle?
Answer:
the bigger rectangle = 30 x 5
Step-by-step explanation:
divide the bigger width by the smaller width to find the rate of change (2.5) and multiply both numbers (length and width) to get the larger rectangle.
Answer:
30
Step-by-step explanation:
30
Which of the following graphs represents a function? Choose all that apply.
Answer:
d
Step-by-step explanation: