In the system of equations 4x + 2y = 10 and 12x - 3y = 3, what is the solution?
Hint: SOLVE BY ELIMINATION

Answers

Answer 1

Answer:

solution = (3, 11)

Step-by-step explanation:

4x + 2y = 10

*subtract 4x from both sides*

2y = -4x + 10

*divide by 2* --> y = -2x +5

12x - 3 y = 3

*add 3y to both sides*

12x = 3y + 3

*subtract 3 form both sides*

12x - 3 = 3y

*divide by 3* --> y = 4x - 3)

2x + 5 = 4x - 1

*subtract 2x form both sides*

5 = 2x -1

*add 1 to both sides*

6 = 2x

*divide by 2x* --> x = 3

y = 2(3) + 5   (plug in 3 for x to solve for y)

y = 6 + 5

y = 11


Related Questions

What is the domain of the function y = l n (x + 2)
A. x < -2
B. x > -2
C. x < 2
D. x > 2

Answers

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

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.​

Answers

Answer:

x < 25

Step-by-step explanation:

ayee

will give brainlyist if quick Which of the equations is graphed below?

Answers

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

Answers

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.

hey! i’ll give brainliest please help.

Answers

Answer:

shah

:) hope this helps!

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?

Answers

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 $

How many solutions does the equation
-2(x + 3) = 2x - (5 – x) have?

Answers

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​

Answers

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:

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

Answers

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

bag of candy contains 4 strawberry
flavored gumdrops, and 5 orange
flavored gumdrops. If Billy reaches in,
takes one out and eats it, and then 20
minutes later selects another and eats
that one as well, what is the probability
that they were both orange flavored
gumdrops? Leave answer as a fraction in simplest form.

Answers

There are 9 candies in total, with 5 being orange. Think of it. For the first grab, you have a 5/9 chance of it being orange flavored. Now there are 4 orange flavored candies, and 8 total candies in the bag. Grabbing a second candy, Billy has a 4/8 chance of grabbing an orange flavored candy. So your two fractions are...

5/9, 4/8

Can you combine these two fractions for a final answer?

8.6 divided by 1,000 =
find the quotient. divide decimals by power of ten.

Answers

The android sjsjsben 86

An experiment consists of spinning the spinners shown and adding the numbers together. Complete the array.

Answers

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]

Simplify √14q times 2√4q

Answers




4q√14 hope this help


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.

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?






.​

Answers

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') =5

Now, 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

#SPJ2

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?

Answers

2 1/2 cups of cheese, 2 1/2 cups of milk and 10 potatoes.

Double everything to get to 4 servings and then half everything to get 1 serving. Add it all up!

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

Solve for x. Rolind to the nearest hundredth.

Answers

Your answer is A) 4.41

cos(51°) = x/7
x = 7 • cos(51)
x = 4.4052 = 4.41

A circle has a circumference of 10 feet. What is the
diameter?

Answers

the diameter would be 3.18
um the diameter would be 3.18

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.

Answers

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

Can someone help me ASAP

Answers

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

Which point has coordinates (-5, -5) ?

Please help ASAP!! I will give 20 points !! for correct answer

Answers

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.

hey! please help i’ll give brainliest

Answers

Answer:

Your answer would be C: occurred during the same period of time

Step-by-step explanation:

The answer is C! Reason being is because the person speaking specifically says “WHILE”. While typically means that two or more events are occurring at the same time.

Show the given equation in a graph
x + y = 5​

Answers

Answer:

you us the equation given and plot points in the graph that are given with the equation.

ahhhh someone help pls!!!!

Answers

Answer:

I may be wrong but I think it's 90 I may be wrong but hey I tryed.

Step-by-step explanation:

Which of the following rational functions is graphed below?

Answers

the answer is

C.IN MY OPINION

HOPE IT HELPED

Find the missing value for the parallelogram

Answers

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:

Plssss help SUNDAY HOMEWORKKKKKKKKKKKK

Answers

Answer:

already did

Step-by-step explanation:

when you see the word expect you will

Answers

Answer:

Um, yes? No clue what you're asking.

Answer:

could you try to rephrase that question? I don't think I understand it.

Help please! i don't understand what the questoin is asking me to put

Answers

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:

Find the area and round it to the nearest hundredth if necessary

Answers

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

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

Answers

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!!!

Other Questions
The graph shows the relationshipbetween the number of hours and the number of miles walked.What rule relates the number of hours to the number of miles walked?A. Multiply the number of hours by 1/2 B. Multiplied the number of miles walked by 2C. Multiply the number of hours by 2 1/2D. Multiply the number of hours buy 2 These marbles are placed in a bag and twoof them are randomly drawn.What is the probability of drawing two yellowmarbles if the first one is NOT placed back intothe bag before the second draw?Give your answer as a rational number, reduced tosimplest terms.1[ ?Hint: Multiply the probability of the 1st Event by theprobability of the 2nd Event to get your answer. which name and country of picture? guys please help me on this question I am so confused and nooo links please One of the biggest environmental factors affecting organizational structure is whether the A) competitor's structure matches industry needs. B) external culture clashes with intrinsic values. C) suppliers' cultures match the company's. D) outside environment is stable or dynamic. E) internal environment is stable or dynamic. Cesar wants to buy grass seed to cover his whole lawn, except for the pool. The pool is 7 1 2 m by 3 1 4 m. Find the area the grass seed needs to cover. Karla Buys a $5,250 air conditioning system using an installment plan thatrequires 18% down. How much is the down payment? Discuss the income and wealth disparity in the State of Washington. in English explains how adjectives can be transformed into adverbs and provide an example. In French Solve for x in the equation below. (x 2) = 14(x 8) Select the correct answer. i'm doing math and i need a bit of help Percentages and isAn article costing GH 2000.00 is sold at aprofit of 60%. Calculate the selling priceof the article. A road toll is 3 for 5 kilometers. How much for 125 kilometers? How do soldiers benefit from direction from leadership?Effective military leadership is critical to the development of personnel. It builds discipline and gives soldiersland In your own words, Describe how Hitler established Nazi Germany.15 points :) the sum of 1/2 , 1/4 and 2/5 as a mixed number and in it's simplest form Help me out its important thank youuuu Select all the correct answers.Which of these statements about algebra are true? True or false the Aztecs and Incas both sacrificed humans. What do all heterotrophs have in common?A.Their diets must include meatB.They must drink at least one liter of water each day to surviveC.They must consume nutrients to surviveD.They must breathe oxygen to surviveNO LINKS OR WILL REPORT AND WILL MARK BRAINLIEST