Answer:
True
Step-by-step explanation:
This equation correctly represents the total cost of the food that the friends ended up paying for the popcorn and sodas. In this expression, the cost of each individual soda is represented by the variable x which is multiplied by 4 since each one of the four friend's purchased their own soda. After making this multiplication process that product is added to the initial $12 that they all spent together on the popcorn.
Each friend paid $4 for popcorn.
The total cost of the food can be represented by the expression 4x + $12.
Given
Four friends bought an extra-large $12 popcorn.
Each person bought their own drink.
Let x be the number of friends.
The total cost of food= Total number of friends + cost of popcorn.
The total cost of the food can be represented by the expression 4x + $12.
Therefore;
The amount paid by each friend is;
[tex]\rm 4x=12\\\\x=\dfrac{12}{3}\\\\x=4[/tex]
Hence, each friend paid $4 for popcorn.
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How much interest will you pay on a loan of $2,620, with a 3% interest rate, paid over 5
years?
Answer:
You'll pay $3013
Step-by-step explanation:
Amount to pay=$2620+Interest accrued
A=$2620+($2620×0.03×5)
A=$2620+$393
A=$3013
I need help with this problem please
Answer:
j = 2/3
Step-by-step explanation:
-1/3 = -1/2 j
Multiply each side by -2
-1/3 * -2 = -1/2 j * -2
2/3 =j
Answer:
j = 2/3
Step-by-step explanation:
-2/3 = -j
j = 2/3
As an estimation we are told £3 is €4.
Convert £37.50 to euros.
Answer:41.43 Euro
there ya go
Answer:
50
Step-by-step explanation:
37.50/3=12.5
12.5*4=50
Which expression has a value of 50 after simplifying?
A.
(24 + 48) ÷ 4 + 2
B.
8 + (15 – 4) x 4 – 10 ÷ 5
C.
36 – 24 ÷ 6 + 24
D.
(8 + 12) – 6 + 9
Answer:
B number is right.
8 + (15 – 4) x 4 – 10 ÷ 5
8+11×4--10÷5
8+11×4-2
8+44-2
52-2
50
Brenda and Cody are selling fruit for a school fundraiser. Customers can buy small boxes of tangerines and large boxes of tangerines. Brenda sold 12 small boxes of tangerines and 1 large box of tangerines for a total of $151. Cody sold 1 small box of tangerines and 3 large boxes of tangerines for a total of $68. Find the cost each of one small box of tangerines and one large box of tangerines
Answer:the cost of a small box of tangerine= $11 and the cost of a large box of tangerine= $19
Step-by-step explanation:
Step 1
Let price of small box of tangerines be represented as x
and price of large box of tangerines be represented as y
Such that the equqtion for Brenda who sold 12 small boxes of tangerines and 1 large box of tangerines for a total of $151 be represented as
12x + y = 151--------equation 1
and
the equation for Cody who 1 small box of tangerines and 3 large boxes of tangerines for a total of $68
x + 3y= 68-------equation 2
Step 2
12x + y = 151--------equation 1
x + 3y= 68-------equation 2
By eliminaton methd multiply equation 2 by 12
x + 3y= 68-------equation 2 x (12)
12x + 36y=816 --------equation 3
Subtract equation 1 from equation 3
12x + 36y=816 --------equation 3
-12x + y = 151--------equation 1
35y=665
y=665/35 =19
to get x , we substitute the value of y=19 into equation2
x + 3y= 68
x+ 3 x 19=68
x=68-57
x=11
Therefore the cost of a small box of tangerine= $11 and the cost of a large box of tangerine= $19
what is the value of k in the following equation?
12+k/22=13
Answer: k=22
Step-by-step explanation:
12+k/22=13
-12 -12
k/22=1
k=1*22
k=22
Joshua was offered a job that paid a salary of $77500 in its first year . The salary was set to increase by 2% per year every year. If Joshua worked at the job for 5 years what was the total amount of money earned over the five years . to the nearest whole number
i think you have to use the sum of finite geometric series
a1=77,500
n=5
idk what im doing plz help
Answer:
I didnt get what you mean maybe try to explian it another way
Step-by-step explanation:
Which set of coordinates is NOT a function?
O {(5,5), (3, 9), (2, -1), (5, 8)}
O {(2,5),(3,9),(4, -1), (5,9)}
O {(-2,-5).(-3,5),(4,-5), (5,5)}
Answer:
O {(-2,-5).(-3,5),(4,-5), (5,5)}
Step-by-step explanation:
brainest plz
7x-7=3x-23. can u show the steps
Answer: ight bet i gotchu its x=−4
Step-by-step explanation:
Let's solve your equation step-by-step.
7x−7=3x−23
Step 1: Subtract 3x from both sides.
7x−7−3x=3x−23−3x
4x−7=−23
Step 2: Add 7 to both sides.
4x−7+7=−23+7
4x=−16
Step 3: Divide both sides by 4.
4x/4=-16/4
ANSWER: X = -4
1/8 + c = 4/5
what is c
Answer:
27/40
Step-by-step explanation:
One to one function and value
Answer:
yes
Step-by-step explanation:
no two points have the same y value
3-⁶x (3^4 ÷ 3⁰)²
simplify
Answer:
Step-by-step explanation:
– 634302
8. Write the equation of the line in standard form with integer coefficients.
y= 3/2 x - 1/2
Answer:
y= 1 1/2x-1/2
Step-by-step explanation:
Does (–3, 9) make the equation y = –3x true?
Answer:
Yes, (-3,9) makes the equation of y = -3x true
Step-by-step explanation:
y = -3x (-3,9)
9 = -3(-3)
9 = 9
TRUE
Answer:
Move convo here
Step-by-step explanation:
solve 6x^2 - 12x + 24 = 0 by completing the square
Answer: [tex]\quad x=1+\sqrt{3}i,\:x=1-\sqrt{3}i[/tex]
Step-by-step explanation: [tex]x_{1,\:2}=\frac{-\left(-12\right)\pm \sqrt{\left(-12\right)^2-4\cdot \:6\cdot \:24}}{2\cdot \:6}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-12\right)\pm \:12\sqrt{3}i}{2\cdot \:6}[/tex][tex]x_1=\frac{-\left(-12\right)+12\sqrt{3}i}{2\cdot \:6},\:x_2=\frac{-\left(-12\right)-12\sqrt{3}i}{2\cdot \:6}[/tex][tex]x=1+\sqrt{3}i,\:x=1-\sqrt{3}i[/tex]PLEASE HELP!! ASAP!!
Answer the following question
1. Bejar is now known as the city of San Antonio. The author says, “ As one covers the distance from Béjar to this town, he will note that Mexican influence is proportionately
diminished “What cardinal direction can you assume he has traveled from Bejar to reach “This Town"?
2. why might the influence of the Mexican government and culture diminish the further away one travels from Bejar?
3. Terran discovered that the foreigners outnumber the Mexican by what ratio?
4. Who are the “foreigners” that Teran repeatedly refers to?
5. What does Teran predict could happen in Texas if the Mexican government does not strengthen its control over Texas?
Answer: 1.Twelve months have now elapsed since the first half volume of this work was offered to the public. The favourable reception it has experienced gives the Editor reason to hope that he has fulfilled the engagements which he came under at its first appearance, and is a powerful inducement to continue his utmost exertions to preserve and improve the character of the work. In the four volumes which are now published, several extensive and important original articles are introduced, which have not hitherto appeared in any similar collection, and had not even been previously translated into English. These materially contribute towards the ample information which was formerly announced, in the Preface to the first Volume, as a leading object in this Collection. In the subsequent parts of the work, every effort shall be made to fill up its several divisions with original articles of similar interest and equal importance.
Encouraged by a satisfactory and increasing sale, the progress of publication has been somewhat hastened, beyond what was originally promised in the Prospectus and Conditions; as the whole of the fourth Volume is now published, at the period when only its first half was to have appeared. It is intended to repeat this anticipation occasionally, by the publication of two numbers or half-volumes at once, when opportunity offers. While this may gratify one portion of our readers, it is not meant to preclude others from continuing to be supplied, as before, with the numbers or half volumes at regular intervals, in their own option.
2.As the population in Texas from the United States swelled, Mexican authorities grew increasing nervous. In 1827, the Mexican government sent General Manuel de Mier y Terán to investigate the situation. He warned that unless the Mexican government took timely measures, settlers were certain to rebel. Differences in language and culture, Terán believed, had produced bitter enmity between the colonists and native Mexicans. The colonists refused to learn the Spanish language, maintained their own separate schools, and conducted most of their trade with the United States.
3.While holding out the possibility of compromise, the Texans prepared for war. The provisional government elected Sam Houston, a former Tennessee governor, to lead whatever forces he could muster. Then in early 1836, a band of three hundred to five hundred Texans captured Mexico's military headquarters in San Antonio. The Texas revolution was under way.
4.Don Manuel de Mier y Terán: As It Affected Texas-Mexican Relations (Continued)
5. THEY MARCHED AN ARMY INTO TX TO STOP THE REBELLION. THE MEXICAN GOVERNMENT “DISOWNED” SANTA ANNA AND THE TREATY; IT DID NOT RECOGNIZE TX INDEPENDENCE FORMALLY UNTIL THE END OF THE MEXICAN AMERICAN WAR.
Step-by-step explanation:
The revenue from selling x tickets is r(x) = 10x. The cost for buying x tickets is c(x) = 8x + 40. The profit from selling x tickets is p(x) = r(x) – c(x).9. What is p(x)? *
Answer:
p(x)=2x-40
Step-by-step explanation:
Substitute the variables
p(x)=10x-(8x+40)
p(x)= 10x-8x-40
p(x)=2x-40
Answer:
p(X) = r(X) - c(X).9
⇔ p(X) = 10x - (8x+ 40).9
⇔ p(X) = 10x - 72x - 360
⇔ p(X) = -62x - 360
Step-by-step explanation:
What is the slope of a line that is perpendicular to the
line shown on the graph?
5
4
4 3
2
1
54 -3 -2 -11
1 2 3 4 5 X
4
-2
1-3
-4
25
Answer:
The slope of a line that is perpendicular to the line
shown in the graph is = 4
Hence, option 'd' is true.
Step-by-step explanation:
From the line equation, let us take two points
(0, 2)(4, 1)Finding the slope between two points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(4,\:1\right)[/tex]
[tex]m=\frac{1-2}{4-0}[/tex]
[tex]m=-\frac{1}{4}[/tex]
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be:
[tex]-\frac{1}{-\frac{1}{4}}=4[/tex]
Thus, the slope of a line that is perpendicular to the line
shown in the graph is = 4
Hence, option 'd' is true.
Anyone know this pls help me
At a store each notebook has a cost of
inequality?
dollars. Which situation can be represented by this
5x < 3x + 2
A The cost of 5 notebooks is greater than the cost of 3 notebooks plus a $2 pen.
B The cost of 5 notebooks is less than the cost of 3 notebooks with a $2-off coupon,
C The cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen.
D The cost of 5 notebooks is $2 greater than the price of 3 notebooks.
Answer:
The answer is C.
Step-by-step explanation:
The < sign means that it will be less than so you can remove A and D. But it's not B either because of the $2 off coupon. Off means you would be subtracting meaning it'll look like this 5x < 3x - $2. So the correct answer is C.
Hope this helps!
The inequality is transformed into a sentence will be the cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen. Then the correct option is C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The act of converting mathematical equations into a specified statement is known as equation-to-sentence transformation.
The inequality is given below.
5x < 3x + 2
The inequality is transformed into a sentence will be the cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen. Then the correct option is C.
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PLEASE HELP ITS DUE IN 15 MINSS!!!!!
Given the equation of a circle below, find the diameter of the circle. Use only the digits 0-9 to enter the diameter.
x squared plus y squared minus 16 x plus 12 y equals 21
Answer
he diameter of the circle is 22 units.
x² + y² - 16x + 12y = 21
If this answer is correct, please make me Brainliest!
HAVE AN AMAZING DAY GOODLUCK
-Ary
Combine like terms:
8b + 8 -4b -3
The sum of two numbers is 240. If one of them
is y find the other number.
Answer:
120?
Step-by-step explanation:
Let's solve the problem step by step: Let's assume the other number is x. According to the problem, the sum of the two numbers is 240. so we can write the equation as: [tex]x + y = 240[/tex]
To find the value of x, we need to substitute the value of y into the equation. Since y is given, we can substitute it. [tex]x + y = 240 x + y = 240 x + y + (-y) = 240 + (-y) x = 240 - y[/tex] Now, we have an equation expressing x in terms of y. To determine the value of x, we need to know the value of y.
Without that information, we cannot calculate the value of x specifically. However, based on the information given, we can conclude that the value of x will be equal to 240 subtracted by the value of y.
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A student has a container with the volume 1.5 liters. She estimates the volume to be 1.2 liters. By what percent is the student's estimate off? I don't need a step-by-step explanation, I just want the right answer.
Answer:
20%.
1.2/1.5 = 0.8
0.8*100 = 80%
100%-80% = 20%.
We can verify this:
1.5-20% = 1.2.
Answer: 20%
Step-by-step explanation:
The sum of three consecutive numbers is 84. What is the largest of these numbers? (5 points) a 28 b 26 c 29 d 27
Answer:
The answer is c.29
Step-by-step explanation:
I used Google xD
Answer:
Largest number = 29
Step-by-step explanation:
Let the consecutive numbers by (x + 1) ; (x + 2) and (x +3)
x +1 + x + 2 + x + 3 = 84 {Combine like terms}
x + x +x + 1 + 2 + 3 = 84
3x + 6 = 84
3x = 84 - 6
3x = 78
x = 78/3
x = 26
Largest number = x + 3 = 26 + 3
=29
ASAP solve 21x+6=300 30 points
Answer:
x = 14
Step-by-step explanation:
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression. 21x+6=300 X=14, 21x14=294+6=300.
Determine the intercepts of the line.
y-intercept: (___, ___)
x-intercept: (___,___)
Convert 11/3 into a mixed number.
3 2/3
4 1/3
3 1/6
Answer:
3 2/3
Step-by-step explanation:
(Timed) Solve the system of equations work shown
Substitution Method
For x:
[tex]y = \frac{5}{4}x - 2\\y = -\frac{1}{4}x + 19\\\\\frac{5}{4}x - 2 = -\frac{1}{4}x + 19\\\\\frac{3}{2}x - 2 = 19\\\\\frac{3}{2}x = 21\\\\x = 14[/tex]
For y:
[tex]y = \frac{5}{4}(14) - 2\\\\y = 17.5 - 2\\\\y = 15.5[/tex]
Solution:
[tex](14, 15.5)[/tex]
Graphing Method
According to this graph, the solution will be [tex](14, 15.5)[/tex].
Please answer ASP
1. Fill in the blank. When you clear out the fractions in the equation you ______.
2. Trey was solving the equation below in class. The teacher has already told Trey his answer is incorrect but he can’t find his mistake. What mistakes has Trey made that are preventing him from getting a correct answer? What is the correct answer?
9514 1404 393
Answer:
1. multiply both sides by 3
2. (a) chose to multiply by 2/3 instead of 3/2; (b) did the multiplications incorrectly, both for the fraction and the integer; (c) x = 9
Step-by-step explanation:
1. If you want to "clear fractions," you multiply by the denominator of the fraction.
3(2/3)x = 3(6)
2x = 18
__
2. The coefficient of x is 2/3. If you want it to be 1, you need to multiply by the multiplicative inverse of 2/3, which is 3/2. Doing that gives ...
(3/2)(2/3)x = (3/2)6
Then simplifying gives ...
x = 18/2 = 9
__
Trey's mistakes were: a) choosing the wrong multiplier; b) carrying out the multiplication incorrectly. (2/3)(2/3) = 4/9, and 6(2/3) = 4. Had Trey done the multiplications correctly, he would have seen that he needed a different multiplier to get to the answer.