To find the values of x and y in the equation 40 = 12x + 4y, isolate the x term and solve for x, then substitute the value of x into the equation to solve for y.
Explanation:To find the values of x and y in the equation 40 = 12x + 4y, you need to solve for one variable at a time. First, isolate the x term on one side of the equation by subtracting 4y from both sides:
40 - 4y = 12x
Then, divide both sides by 12 to solve for x:
x = (40 - 4y) / 12
Now you have the equation for x in terms of y. To find the values of y, you can substitute the expression for x into the original equation and solve for y.
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1
- divided by 4
2
1/2 divided by 4 would become 1/2 times 1/4 (Since you change the division sign into multiplication and you'd flip the 4 into 1/4), so the final answer would be 1/8
Hello there!
This question is so super easy to me.
1/2÷4
Explanation:
↓↓↓↓↓↓↓↓↓↓↓↓
First you had to used apply fraction rule.
[tex]\frac{1}{2*4}[/tex]
Then multiply by the numbers.
[tex]2*4=8[/tex]
[tex]=\frac{1}{8}[/tex]
Answer⇒⇒⇒1/8
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
Round the nearest thousand 354 605
Answer:
355,000
Step-by-step explanation:
the 6 is greater than 5, so it would make the 4 a 5
Paula is going to choose the size, color, phrase, and picture for a birthday card for her friend. There are 222 sizes, 444 colors, 777 phrases, and 444 pictures for her to choose from. (The printing company charges a fee to add extra design elements, so she will choose only one of each.)
Answer:
Step-by-step explanation:
Do you mean 2 x 4 x 7 x 4 = 224
Paula has a staggering total of 224 choices to choose from when customizing her friend's birthday card. That's a lot of possibilities!
Paula has quite a variety of choices for customizing her friend's birthday card!
Let's calculate the total number of different combinations she can create:
Number of sizes = 222
Number of colors = 444
Number of phrases = 777
Number of pictures = 444
To find the total number of combinations, we multiply the number of choices for each element:
2* 4* 7* 4 = 224
Complete Question:
Paula is going to choose the size, color, phrase, and picture for a birthday card for her friend. There are 2 sizes, 4 colors, 7 phrases, and 4 pictures for her to choose from. (The printing company charges a fee to add extra design elements, so she will choose only one of each.) How many different card designs are possible?
The sum of two consecutive odd integers is 236. What is the smaller integer? (1 point)
A. 117
B. 115
C. 113
D. 119
Answer:
Step-by-step explanation:
Option A is the correct option as X is let smallest integer in both. solution is given in attachment.
A band earns 2/3 of their profit from selling concert tickets and 1/5 of their profit from selling merchandise. The band earns $1500 from selling concert tickets. How much money does the band earn from selling merchandise?
The band makes $300 from selling merchandise.
I found this out by finding the LCD for 3 and 5, which is 15.
Then I multiplied the 2 from 2/3 by 5, and the 1 from 1/5 by 3, which results in 10/15 and 3/15.
Next I divided 1500 by 15, which is 100.
Then I multiplied 100 by 3, and got 300.
The band earns $450 from selling merchandise.
Explanation:To find out how much money the band earns from selling merchandise, we need to determine what fraction of their profit comes from merchandise sales. We know that the band earns 2/3 of their profit from selling concert tickets, which equals $1500. Let's use this information to find the total profit.
Since 2/3 of the profit is $1500, we can find the total profit by multiplying $1500 by 3/2. $1500 x 3/2 = $2250. Therefore, the total profit the band earns is $2250.
Next, we need to find out how much money the band earns from selling merchandise, which is 1/5 of the total profit. To find this amount, we can multiply the total profit of $2250 by 1/5. $2250 x 1/5 = $450. So, the band earns $450 from selling merchandise.
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The Woods family traveled 25 miles in 1/3 hour. If it is currently 3:00 PM, and the family’s destination is 225 miles away, at what time will they arrive?
1/2 Hour = 20 Minutes
25 miles in 20 minutes
75 miles in 60 minutes
225-25=200
200/75= 2 1/3
3:00 PM + 2:30 = 5:30 PM
They will arrive at the desired destination in 2:30 minutes, which is 5:30 PM
:)
What are the factors of m2-6m+6m-36
m^2-36
(m+6)(m-6)
or
m(m-6)+6(m-6)
(m+6)(m-6)
help me plss now! can't get the answer
-8p - 10 = -10p + 10
In order to solve this, first add 10p on both sides of the equation to get the variable on one side only.
[tex]-8p-10=-10p+10[/tex]
[tex]-8p+10p-10=-10p+10p+10[/tex]
[tex]2p-10=10[/tex]
Now add 10 on both sides of the equation.
[tex]2p-10+10=10+10[/tex]
[tex]2p=20[/tex]
Divide both sides by 2 for x.
[tex]\frac{2p}{2}[/tex]=[tex]\frac{20}{2}[/tex]
[tex]p=10[/tex]
Hello!
Answer: ⇒⇒⇒⇒⇒⇒⇒ p=10
Step-by-step explanation:
First you had to add by 10 from both sides of equation.
[tex]-8p-10+10=-10p+10+10[/tex]
Simplify.
[tex]-8p=-10p+20[/tex]
Add by 10p from both sides of equation.
[tex]-8p+10p=-10p+20+10p[/tex]
Simplify.
[tex]2p=20[/tex]
Divide by 2 from both sides of equation.
[tex]\frac{2p}{2}=\frac{20}{2}[/tex]
Simplify.
[tex]p=10[/tex]
Hope this helps!
Thank you for posting your question at here on brainly.
Have a great day!
-Charlie
If one endpoint of a line segment is (2, 8) and the midpoint is (-4, 7), what is the other endpoint? (8, -5)
( - 10, - 22 )
using the midpoint formula,
let the other endpoint have coordinates (x, y) then
[tex]\frac{1}{2}[/tex] (2 + x ) = - 4 ( multiply through by 2 )
2 + x = - 8 ( subtract 2 from both sides ) then
x = -8 - 2 = - 10 ← value of x-coordinate
Similarly for y-coordinate
[tex]\frac{1}{2}[/tex] (8 + y ) = - 7 ( multiply through by 2 )
8 + y = - 14 ( subtract 8 from both sides )
y = - 14 - 8 = - 22 ← y -coordinate
the other endpoint is ( - 10, - 22 )
a band earns 2/3 from ticket sales and 1/5 from merchandise. the band earns 1500 in ticket sales. how much from merchandise
Answer: $750
Step-by-step explanation:
If the band is earning $1,500 on ticket sales, that is equal to 2/3 aka 6/15. 1/5,or, 3/15 is earned on merchandise. Since 3/15 is half of 6/15, that means that merchandise makes half of $1,500, (1500÷2) or $750.
So, the band earns $750 from merchandise
750
Rosa earns $200 a month delivering newspapers, plus an average of $11 per hour babysitting. If her goal is to earn at least 295 this month, how many hours will she have to babysit?
9=w-14
A)24
B)126
C)5
D)23
Hello there!
The answer should be the last option D.
This question is so easy to me.
[tex]9=w-14[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓
First you had to switch sides of the equation.
[tex]w-14=9[/tex]
Then you add 14 from both sides of the equation.
[tex]w-14+14=9+14[/tex]
Simplify it should be the right answer.
[tex]w=23[/tex]
Answer⇒⇒⇒w=23
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
Which number is four thousand times larger than 1.1 x 103 ? A) 1.1 x 106 B) 1.1 x 107 C) 4.4 x 106 D) 4.4 x 107
The answer to this problem is D
Answer: Hello!
I think that 1.1 x 103 is maybe bad written, and you wanted to write 1.1x10^3, i will solve this for this last one.
We are looking for a number that his four thousand times larger than 1.1x10^3, this number is equivalent to 4000*1.1x10^3
and we know that 4000 = 4x10^3, then we are looking for:
(4x10^3)*(1.1x10^3) = (4*1.1)x10^(3 + 3) = 4.4x10^6
So the correct answer is the option C : 4.4x10^6
3/5 of the students in a room are girls. 1/3 of the girls have blonde hair. 1/2 of the boys have brown hair.
one fifth of the boys in the classroom have brown hair.
point b has the points (5 -2) is rotated 180 about the origin, its image has coordinates
When rotating a point 180 degrees about the origin, you are simply inverting the points.
(5, -2) rotated 180 degrees results in (-5, 2).
To rotate point B(5, -2) 180 degrees about the origin, its image would have coordinates (-5, 2).
Explanation:To rotate a point about the origin, we can use the formula (x', y') = (-x, -y). In this case, point B has coordinates (5, -2). To rotate it 180 degrees about the origin, we substitute the coordinates into the formula:
(x', y') = (-5, 2)
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when does a figure have rotational symmetry
Choose an object and rotate it up to 180 degrees around its center. If at any point the object appears exactly like it did before the rotation, then the object has rotational symmetry.
Step-by-step explanation:
We are asked to determine when does a figure have rotational symmetry.
We know a figure has a rotational symmetry, when the figure maps onto itself after rotating it less than 180 degrees.
In other words, we can say it is the property that a shape has when it looks the exactly same after some rotation.
When a figure maps onto itself exactly at 180 degrees, then the figure has a point symmetry.
Therefore, a figure has rotational symmetry if it maps onto itself after a rotation less than 180 degrees.
What are five fractions equivalent to 4/12?
1/3, 2/6, 3/9, 5/15, 6/18, And so on...
There are infinite equivalent fractions to 4/12.
The five fractions equivalent to 4/12 are 8/24, 12/36, 16/48, 20/60, and 24/72.
We have to determine five fractions equivalent to 4/12.
According to the question
To determine the fraction following all the steps given below.
The five fractions of the 4/12 are as follows;
1. The first fraction is equivalent to 4/12 is determined by multiplying and dividing by 2.
[tex]= \dfrac{4}{12}\\\\= \dfrac{4}{12} \times \dfrac{2}{2}\\\\= \dfrac{8}{24}[/tex]
The first fraction equivalent to 4/12 is 8/24.
2. The second fraction is equivalent to 4/12 is determined by multiplying and dividing by 3.
[tex]= \dfrac{4}{12}\\\\= \dfrac{4}{12} \times \dfrac{2}{2}\\\\= \dfrac{8}{24}[/tex]
The second fraction equivalent to 4/12 is 12/36.
3. The third fraction is equivalent to 4/12 is determined by multiplying and dividing by 4.
[tex]= \dfrac{4}{12}\\\\= \dfrac{4}{12} \times \dfrac{4}{4}\\\\= \dfrac{16}{48}[/tex]
The third fraction equivalent to 4/12 is 16/48.
4. The fourth fraction is equivalent to 4/12 is determined by multiplying and dividing by 5.
[tex]= \dfrac{4}{12}\\\\= \dfrac{4}{12} \times \dfrac{5}{5}\\\\= \dfrac{20}{60}[/tex]
The fourth fraction equivalent to 4/12 is 20/60.
5. The fifth fraction is equivalent to 4/12 is determined by multiplying and dividing by 6.
[tex]= \dfrac{4}{12}\\\\= \dfrac{4}{12} \times \dfrac{6}{6}\\\\= \dfrac{24}{72}[/tex]
The fifth fraction equivalent to 4/12 is 24/72.
Hence, the five fractions equivalent to 4/12 are 8/24, 12/36, 16/48, 20/60, and 24/72.
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Which equation demonstrates the distributive property?
A)
20 + 36 = 56
B)
20 x 36 = 36 x 20
C)
20 + 36 = 4(5 + 9)
D)
(5 + 9)4 = 4(5 + 9)
Answer:
C) 20 + 36 = 4(5 + 9)
Step-by-step explanation:
The distributive property:
a(b + c) = ab + ac
Therefore your answer is C)
4(5 + 9) = (4)(5) + (4)(9) = 20 + 36
Answer: c
Step-by-step explanation: 20 + 36 = 36 x 20
Mercury melts at 38
below zero .write this temperature as an integer
"38 below zero" can be displayed as -38.
The negative sign implies that the number is whatever the value is less than the value of 0.
Thus, -38 + 38 = 0.
the integer is -38 because an integer can not be a fraction or a decimal.. and the problem says that mercury melts at 38 below zero, so, this would be 0-38=-38
Paul says that 7/10 is the same as 7%. Is he correct or incorrect. Explain your reasoning and show your work
a restaurant sold 28 hamburgers and 21 hot dogs last week.How many hamburgers on average were sold each day?
28 divided by 7 days a week would be 4 a day
Three times the sum of x and seven is greater than it equal to the sum of two x and six
3(x + 7) ≥ 2x + 6
Distributive property.
3x + 21 ≥ 2x + 6
Subtract 2x from both sides.
x + 21 ≥ 6
Subtract 21 from both sides.
x ≥ -15
The solution to the inequality is [tex]\(x \geq -15\)[/tex].
To translate the given statement into an inequality, you can follow these steps:
1. **Translate the first part of the sentence:**
"Three times the sum of x and seven" can be written as \(3(x + 7)\).
2. **Translate the second part of the sentence:**
"The sum of two x and six" can be written as \(2x + 6\).
3. **Combine the translated parts with the inequality:**
"Three times the sum of x and seven is greater than or equal to the sum of two x and six" can be translated into the following inequality:
[tex]\[3(x + 7) \geq 2x + 6\][/tex]
4. **Solve the inequality for x:**
Distribute the 3 on the left side:
[tex]\[3x + 21 \geq 2x + 6\][/tex]
Move the \(2x\) term to the left side by subtracting \(2x\) from both sides:
[tex]\[3x - 2x + 21 \geq 6\][/tex]
Simplify:
[tex]\[x + 21 \geq 6\][/tex]
Move the 21 to the right side by subtracting 21 from both sides:
[tex]\[x \geq -15\][/tex]
So, the solution to the inequality is \(x \geq -15\). This means any value of \(x\) greater than or equal to -15 will satisfy the given inequality.
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Find f(5) for f(x)=1/9(3)^x
We know: 9 = 3²
Therefore [tex]\dfrac{1}{9}=\dfrac{1}{3^2}[/tex]
We know the property:
[tex]\dfrac{a^n}{a^m}=a^{n-m}[/tex]
Therefore [tex]\dfrac{1}{9}\cdot3^x=\dfrac{3^x}{3^2}=3^{x-2}[/tex]
We must find f(5). Put x = 5 to the equation of the function:
[tex]f(5)=3^{5-2}=3^3=3\cdot3\cdot3=27[/tex]
Answer: f(5) = 27.The value of f(5) is 27 of function f(x) = 1/9(3)ˣ
What is the function?The function is defined as mathematics expression defines a relationship between one variable and another variable. When we say that a variable quantity y is a function of a variable quantity x, we indicate that y depends on x and that value of x determines what value of y will be. This relationship can be expressed as follows: y = f (x)
What is Exponential Function?An exponential function is defined as function has a constant as its base and a variable as its exponent.
In mathematical form an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function.
For the function f defined by f(x) given as :
f(x) = 1/9(3)ˣ ,
To determine the value of f(5).
f(x) = 1/9(3)ˣ,
Substitute the value of x = 5 in the function,
f(5) = 1/9(3)⁵ , [ 3⁵ = 243 ]
f(5) = 1/9(243),
f(5) = 27
Hence, the value of f(5) is 27.
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I GIVE BRAINLIEST!!!! What is 1457.506 rounded to the nearest hundredth?
whats the step by step and answer for 15h+30<10h-45
suppose you earn 3% on a $1200 deposit for 5 years . explain how the simple interest is affected if the rate is increaced by 1% . what happens if the time is increaced by 1 year
To calculate simple interest, use the formula Simple Interest = Principal × Rate × Time. If the rate is increased by 1%, the simple interest will increase. If the time is increased by 1 year, the simple interest will also increase.
Explanation:To calculate the simple interest on a deposit, you can use the formula:
Simple Interest = Principal × Rate × Time
Now let’s address the first part of the question. If the rate is increased by 1%, the new rate would be 3% + 1% = 4%. Using the same formula, the simple interest would now be:
Simple Interest = $1200 × 0.04 × 5 = $240
Now, let’s move on to the second part of the question. If the time is increased by 1 year, the new time would be 5 years + 1 year = 6 years. Using the same rate of 3%, the simple interest would now be:
Simple Interest = $1200 × 0.03 × 6 = $216
The parents are making sandwiches for the class picnic. They have 72 turkey slices and 18 cheese slices what is the greatest number of sandwiches they can make if each sandwich has the same filling
To determine the maximum number of sandwiches that can be made with the given turkey and cheese slices, we need to divide the total number of each type of slice by the number of slices needed for one sandwich. The minimum of these two results gives us the maximum number of sandwiches. In this case, the maximum number of sandwiches that can be made is 18.
Explanation:To find the greatest number of sandwiches they can make, we need to determine how many sandwiches can be made with the available turkey slices and cheese slices. Since each sandwich has the same filling, we need to divide the number of slices of each type by the number of slices needed for one sandwich.The number of sandwiches that can be made with the turkey slices is determined by dividing the total number of turkey slices by the number of turkey slices needed for one sandwich. Similarly, the number of sandwiches that can be made with the cheese slices is determined by dividing the total number of cheese slices by the number of cheese slices needed for one sandwich.We want to make the maximum number of sandwiches, so we take the minimum of the two results. This ensures that we have enough filling to make as many sandwiches as possible without running out of any particular type of filling.In this case, we have 72 turkey slices and 18 cheese slices.
Let's assume each sandwich requires 2 turkey slices and 1 cheese slice. The number of turkey sandwiches that can be made is 72 divided by 2, which equals 36. The number of cheese sandwiches that can be made is 18 divided by 1, which equals 18.Therefore, the maximum number of sandwiches that can be made is the minimum of the number of turkey sandwiches and the number of cheese sandwiches, which is 18.
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Solve for y 31=2y-5
31=2y-5
Add 5 on both -5+5 which cancels out and 31+5 which is 36 and then divide 36 by 2 which equals to 18.
So y=18 hope this helped (':
Hey!
[tex]31=2y-5[/tex]
First, this problem should be switch sides.
[tex]2y-5=31[/tex]
Secondly, add 5 from both sides of equation.
[tex]2y-5+5=31+5[/tex]
Then, simplify
[tex]2y=36[/tex]
In fact, you had to divide 2 from both sides of equation.
[tex]\frac{2y}{2}=\frac{36}{2}[/tex]
Finally, simplify
[tex]y=18[/tex]
And the answer is [tex]y=18[/tex]
I hope this helped!
Thank you for posting your question.
-Charlie
What is a third variable condition that could create the following correlation? The popularity of online job portals is correlated to the number of people changing jobs. A. internet connectivity B. peer pressure C. lots of available jobs D. health benefits E. availability of better technology
b hope this helps i think
Answer:
C lots of available jobs