Answer:
x = number of students in each van = 16
y = number of students in each bus = 47
(bus, van) = (47, 16)
Step-by-step explanation:
Let
x = number of students in each van
y = number of students in each bus
This can be represented by the equation
7x + 6y = 394 (1)
3x + 12y = 612 (2)
Using elimination method
Multiply (1) by 2
14x + 12y = 788 (3)
3x + 12y = 612 (2)
Subtract (2) from (3) to eliminate y
14x - 3x = 788 - 612
11x = 176
x = 176/11
x = 16
Substitute x = 16 into (1)
7x + 6y = 394 (1)
7(16) + 6y = 394
112 + 6y = 394
6y = 394 - 112
6y = 282
y = 282/6
y = 47
x = number of students in each van = 16
y = number of students in each bus = 47
(bus, van) = (47, 16)
7. Jeremiah is going to the local arcade with $32 in his wallet to spend. He plans to bowl one game and play some arcade games. A game of bowling costs $11, the bowling shoe rental is $3.75, and the arcade games cost $0.75 each. Write and solve an inequality to find the number of arcade games Jeremiah can play.
Answer:
x < 25
Step-by-step explanation:
ayee
A soup recipe calls for cup of cheese, cup of milk, and 4 potatoes. The recipe serves 2 people,
What is the correct amount of cheese, milk, and potatoes needed to serve 5 people using this soup recipe?
Answer:
2 1/2 cup cheese
2 1/2 cup milk
10 potatoes
Step-by-step explanation
take half of each and multiply it by 5
Dentro de 15 años la edad de Carlos será el doble de la edad de Ana. Hace 6 años la edad de Carlos era el triple de la de Ana. Calcular la suma de sus edades y dar como respuesta la suma de cifras de este resultado
Answer:
Ana tiene 27 años mientras que Carlos, tiene 69 años
La suma de las edades es: 27+69 = 96
La suma de las cifras de este resultado es 9+6 = 15
Step-by-step explanation:
Vamos a hacer una linea temporal para ubicarnos en tiempo.
AÑO 2021, Ana tiene una edad A mientras que Carlos tiene una edad C
15 años para adelante
AÑO 2036, la edad de Carlos es el doble de la de Ana
C = 2A
Si nos vamos 6 años para atrás
AÑO 2015, la edad de Carlos es el triple de la de Ana
C = 3A
Como de 2015 a 2036 pasan 21 años, podemos plantear que
La edad de Carlos + 21 va a ser 2 veces la edad de Ana, traducido:
C + 21 = 2A, pero en 2015, ya sabemos que la edad de Carlos es el triple de la de Ana, entonces:
3A + 21 = 2A. Si despejamos:
3A - 2A = -21
A = |21| Ésta es la edad de Ana. (Ponemos valor absoluto porque una edad no puede ir negativa.
Si Ana en 2014 tiene 21 años, Carlos tiene 63 (el triple) por lo que sumamos 6 años y llegamos al presente:
En 2021, Ana tiene 27 años (21+6), mientras que Carlos tiene 69 (63+6). Edades actuales.
Nos corremos 15 años al futuro, por lo que llegamos al año 2036.
Carlos pasa a tener 84 años (69+15) y Ana, 42 (27+15) donde verificamos que la edad de Carlos, es el doble que la de Ana, 84/42 = 2.
Finalmente la suma de las edades es: 27+69 = 96
La suma de las cifras de este resultado es 9+6 = 15
Find the missing value for the parallelogram
Answer:
y = 85°
z = 35°
x = 60°
Step-by-step explanation:
y) 180 - 120 = 60, therefore:
180 - (35 + 60)
=> y = 85
z)
=> z = 35
x)
180 - (35 + 85)
=> x = 60
Hope this helps!
Answer:
to find y
you find the bottom right angle
which is 180-120 = 60
then you do 60+35 = 95
then 180 -95 because the sum of all angles in a triangle is 180
so the answer is 85 = y
There is a rule where the alternate angles between the parallel lines are identical
if y = 85 that means that the angle next to 35 is 85
same for angle z, if the top right 35, that means that angle z = 35
Now you add 35 + 85 = 120
180 - 120 = 60 = angle x
In summary
x=60
y=85
z=35
Hope that answers your question
Don't hesitate to leave a comment if you are confused about something
Step-by-step explanation:
Find the area and round it to the nearest hundredth if necessary
Answer:
16.28 squared inches
Step-by-step explanation:
Use the formula A = bh.
b = base
h = height
A = (4.4) (3.7)
A = 16.28
8.6 divided by 1,000 =
find the quotient. divide decimals by power of ten.
The Hu family goes out for lunch, and the price of the meal is $52. The sales tax on the meal is 7%, and the family also leaves a 20% tip on the pre-tax amount. What is the total cost of the meal?
Answer:
60.04
Step-by-step explanation:
I got the tax amount and tip amount and added them.
Answer:
Step-by-step explanation:
cost of meal=$52
tax=52×7 %=3.64$
tip=52×20%=10.40$
total cost of meal=52+3.64+10.40=66.04 $
Help please! i don't understand what the questoin is asking me to put
Answer:
Bx72
Step-by-step explanation:
Hope this helps
Answer:
it is asking what name of this solution is and how to solve it
Step-by-step explanation:
HELPPPPPPPPPPP
Find the volume of the cone.
Either enter an exact answer in terms of
π
πpi or use
3.14
πpi and round your final answer to the nearest hundredth.
Answer:
V = 18.84 units³
Step-by-step explanation:
The formula for the volume of a cone of base radius r and height h is
V = (1/3)(pi)(r²)(h).
Here, with pi = 3.14, r = 3 and h = 2, we get:
V = 18.84 units³
Function “p” is in the form y=ax^2 + C. If the values of “a” and “c” are both less than 0, which graph could represent “p”?
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
B
Step-by-step explanation:
Since the value of a is less than 0, the graph of the parabola would be opening downwards. Because of this we can rule out option C. In a quadratic equation, c represents the y-intercept, and, in this case c is negative, meaning the y-intercept is less than 0. Only option B has a downward-opening curve and a y-intercept less than 0, so it is the answer.
Answer:
B. Graph B
--------------------
hope it helps...
have a great day!!!
How many solutions does the equation
-2(x + 3) = 2x - (5 – x) have?
Step-by-step explanation:
-2(x + 3) = 2x - (5 – x)
-2x+6= 2x-5+x
-2x+6=3x-5
-2x-3x=-5-6
-5x=-11
x= 11/5
( 1 solution)
Answer:
Solution given:
-2(x + 3) = 2x - (5 – x)
-2x-6=2x-5+x
-6+5=2x+2x+x
5x=-1
x=[tex] \frac{-1}{5} [/tex]
It has one Solution.
Which expression is equivalent to 16x4 – 64? and explain the answer plzz
Answer:
4(4x1-16)
Hope this helps
Have a good day :)
PS I disibuted 4 to 4x1 to get 16 and 4 to -16 to get -64
Step-by-step explanation:
What is the domain of the function y = l n (x + 2)
A. x < -2
B. x > -2
C. x < 2
D. x > 2
Answer:
Option B.
Step-by-step explanation:
For a function f(x), the domain is the set of all the possible values of x that can be used in the function.
We know that the natural logarithm is only defined for positive real numbers.
So, the function:
Ln(x + 2)
Works always that
x + 2 > 0
So we can just solve this inequality for x, and that will give us the domain of the function.
To isolate x, we just need to subtract 2 in both sides of the inequality.
x + 2 - 2 > 0 - 2
x > - 2
This is the domain of the function.
The correct option is B.
Answer:
b.x>-2
Step-by-step explanation:
edge 2021
hey! i’ll give brainliest please help.
Answer:
shah
:) hope this helps!
Find the value of x in the figure shown.
Answer:
x= 17
Step-by-step explanation:
Assuming that the total degree of this side is also 90, we'll subtract 90 with 39.
90 - 39= 51
since x is 3 times the total degree, we'll divide 51 by 3, leaving us with 17.
Use a calculator to find the value of these data. Round the value to three
decimal places.
A-0.953
B. -1.909
C. 0.909
D. 0.953
The value of coefficient of correlation coefficient is -0.953 which is a negative correlation between x and y option (A) is correct.
What is correlation?It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
We have given data in the table.
As we know, the formula for the correlation is given by:
[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]
After plugging the value, we will get the value of r:
r = -0.953
Thus, the value of coefficient of correlation coefficient is -0.953 which is a negative correlation between x and y option (A) is correct.
Learn more about the correlation here:
brainly.com/question/11705632
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Can someone help me ASAP
Answer:
48 cm^2
Step-by-step explanation:
The area of a trapezoid is calculated using the following formula :
(a+b)2*h (a: base, b: base, h: height)
(8+16)/2*4 = 48 cm^2
Solve for x. Rolind to the nearest hundredth.
there are 30 students in a class. of those, 15 take history, 18 take geography, and 5 take neither of
these subjects. how many students
take both subjects?
.
Answer:
n(U)=30
n(H)=15
n(G)=18
n(H ∪ G)'=5
n(H ∪ G)=n(U)-n(H ∪ G)'
=30-5=25
So ,n(H ∩ G)=n(H)+n(G)-n(H ∪ G)
=15+18-25=8
Therefore, 8 students take both subjects.
A set is a mathematical model for a collection of diverse things. The total number of students who who take both History and Geography is 8.
What is a set?A set is a mathematical model for a collection of diverse things; it comprises elements or members, which can be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.
Given that there are 30 students in a class. of those, 15 take history, 18 take geography, and 5 take neither of these subjects. Therefore, we can write the following values,
Total students, n(S)=30Students who take History, n(H)=15Students who take Geography, n(G)=18Students who take neither of the subject, n(H' ∪ G') =5Now, the number of students who take at least one of the two subject can be written as,
Students who choose at least one subject
= Total students - Students who take neither of the subject
n(H ∪ G) = n(U) - n(H ∪ G)'
n(H ∪ G) = 30 - 5
=25
Further, the total number of students who who take both the subjects can be written as,
Students who take both the subjects = Students who take History + Students who take Geography - Students who choose at least one subject
n(H ∩ G) = n(H) + n(G) - n(H ∪ G)
n(H ∩ G) = 15 + 18 - 25
n(H ∩ G) = 8
Hence, the total number of students who who take both History and Geography is 8.
Learn more about Sets here:
https://brainly.com/question/8053622
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will give brainlyist if quick Which of the equations is graphed below?
Answer:
c
Step-by-step explanation:
Declan says that any number n, the product 4 times n is greater than 4. Which value of n shows why declan is incorrect
Answer: [tex]n>1[/tex]
Step-by-step explanation:
Given
The product of 4 times n is greater than 4 i.e.
[tex]\Rightarrow 4\times n>4\\\text{Dividing both side of inequality by 4}\\\\\Rightarrow \dfrac{4n}{4}>\dfrac{4}{4}\\\\\Rightarrow n>1[/tex]
It can be said that the value of n must be greater than 1.
Plssss help SUNDAY HOMEWORKKKKKKKKKKKK
Answer:
already did
Step-by-step explanation:
when you see the word expect you will
Answer:
Um, yes? No clue what you're asking.
Answer:
could you try to rephrase that question? I don't think I understand it.
Which point has coordinates (-5, -5) ?
Please help ASAP!! I will give 20 points !! for correct answer
Answer:
Your answer is S
Step-by-step explanation:
You move 5 to the left on the X axis, side to side.
Then you move 5 down on the Y axis, up and down.
An experiment consists of spinning the spinners shown and adding the numbers together. Complete the array.
Answer:
[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {2} & {3} & {4} & {5} & {2} & {3} & {4} & {5} & {6} & {3} & {4} & {5} & {6} & {7} & {4} & {5} & {6} & {6} & {8} \ \end{array}[/tex]
Step-by-step explanation:
Given
[tex]Spinner = \{1,2,3,4\}[/tex]
Array:
[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {} & { } & { } & {5} & {2} & { } & {} & { } & { } & {3} & {4} & { } & {} & { } & {4} & { } & {6} & { } & {} \ \end{array}[/tex]
Required
Complete the blanks
To do this, we simply add up corresponding row and column elements.
[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {} & { } & { } & {5} & {2} & { } & {} & { } & { } & {3} & {4} & { } & {} & { } & {4} & { } & {6} & { } & {} \ \end{array}[/tex]
So, we have:
[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {1+1} & {1+2 } & {1+3 } & {4} & {2} & {2+1 } & {2+2} & {2+3 } & {2+4 } & {3} & {4} & {3+2 } & {3+3} & {3+4 } & {4} & {4+1 } & {6} & {4+3 } & {4+4} \ \end{array}[/tex]
Add
[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {2} & {3} & {4} & {5} & {2} & {3} & {4} & {5} & {6} & {3} & {4} & {5} & {6} & {7} & {4} & {5} & {6} & {6} & {8} \ \end{array}[/tex]
Show the given equation in a graph
x + y = 5
Answer:
you us the equation given and plot points in the graph that are given with the equation.
ahhhh someone help pls!!!!
Answer:
I may be wrong but I think it's 90 I may be wrong but hey I tryed.
Step-by-step explanation:
A circle has a circumference of 10 feet. What is the
diameter?
Which of the following rational functions is graphed below?
the answer is
C.IN MY OPINION HOPE IT HELPEDSimplify √14q times 2√4q
Answer:
[tex]4\sqrt{14} q^{2}[/tex]
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.