Answer:
Step-by-step explanation:
Let
Price of
Hotdogs = x
Sodas = y
Candy bar = z
Smith family
Hotdogs = 3
Sodas = 2
Candy bar = 1
Total cost = $16.50
3x + 2y + z = 16.50
Patterson family
Hotdogs = 4
Sodas = 4
Candy bar = 2
Total = $26
4x + 4y + 2z = 26
Nguyen family
Hotdogs = 2
Sodas = 1
Candy bar = 3
Total cost = $13.75
2x + y + 3z = 13.75
The equations
3x + 2y + z = 16.50 (1)
4x + 4y + 2z = 26 (2)
2x + y + 3z = 13.75 (3)
Multiply (1) by -2
-2(3x + 2y + z = 16.50)
-6x - 4y - 2z = -33
-6x - 4y - 2z = -33 (1a)
4x + 4y + 2z = 26 (2)
Add (1a) and (2)
-6x + 4x = -33 + 26
- 2x = -7
x = -7/-2
= 3.5
x = $3.5
Multiply (3) by -4
-4(2x + y + 3z = 13.75) (3)
-8x - 4y - 12z = -55 (3a)
Add (3a) and (2)
-8x - 4y - 12z = -55 (3a)
4x + 4y + 2z = 26 (2)
-8x + 4x -12z + 2z = -55 + 36
-4x - 10z = -29
Substitute the value of x into
-4x - 10z = -29
-4(3.5) - 10z = -29
-14 - 10z = -29
-10z = -29 + 14
-10z = - 15
z = -15 / - 10
= 1.5
z = $1.5
Substitute values of x and z into (1)
3x + 2y + z = 16.50
3(3.5) + 2y + 1.5 = 16.50
10.5 + 2y + 1.5 = 16.50
12 + 2y = 16.50
2y = 16.50 - 12
2y = 4.50
y = 4.50 / 2
y = $2.25
im confused someone help
what fractions are equivalent to 3.375
Answer:
3/8 6/16 12/32 24/64 48/128 96/256
Step-by-step explanation:
1/8 is .125 so .375 is 3/8
Mark brainliest pls
The given decimal can be converted into fractions such as 3375/1000, 675/200, 135/40 and 67/20 respectively.
What is a Decimal number?A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.
The decimal number is given as 3.375.
It can be written in the form of fraction as below,
3.375 = 3375/1000
Now, the other fractions can be obtained by dividing the numerators and denominators by the common factors as follows,
3375/1000 = 675/200 = 135/40 = 67/20
Hence, the fractions that are equivalent to the given decimal are 3375/1000, 675/200, 135/40 and 67/20 respectively.
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2x - 3x = 33
what is it .?
Answer:
- 33
Step-by-step explanation:
Step 1:
2x - 3x = 33 Equation
Step 2:
- x = 33 Subtract
Answer:
x = - 33
Hope This Helps :)
The solution to the equation 2x - 3x = 33 is x = -33.
To solve the equation 2x - 3x = 33, we need to combine like terms on the left side of the equation and then solve for x.
Combine like terms:
2x - 3x = -x
Rewrite the equation with the combined terms:
-x = 33
To isolate x, we need to multiply both sides of the equation by -1:
(-1)(-x) = (-1)(33)
This simplifies to:
x = -33
Therefore, the solution to the equation 2x - 3x = 33 is x = -33.
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13+4+ 10 = 13+ 10 is that communicative property or associative property
Answer:
its commutative property
Answer:
It is communicative property :)
Step-by-step explanation:
The fraction 26/5 is between which two numbers?
Answer:
25/5 and 27/5
Step-by-step explanation:
26/5 = 4 1/5
26/5 is between 4 and 5.
230.071 in expanded form
200+30+0+0.70+0.01
Hope it's right
Answer:
Expanded Notation Form:
200
+ 30
+ 0
+ 0.0
+ 0.07
+ 0.001
Expanded Factors Form:
2 × 100
+ 3 × 10
+ 0 × 1
+ 0 × 0.1
+ 7 × 0.01
+ 1 × 0.001
Expanded Exponential Form:
2 × 102
+ 3 × 101
+ 0 × 100
+ 0 × 10-1
+ 7 × 10-2
+ 1 × 10-3
Word Form:
two hundred thirty and seventy-one thousandths
Step-by-step explanation:
if x and y vary directly, and x=3/4 and y =15 which of following represents this situation?
a x=11.25y
b y=11.25x
c x=20y
d y=20x
Answer:
A
Step-by-step explanation:
Because your not studying
Answer:
D
Step-by-step explanation:
simple plug and chug.
Understand that variables are already defined, x=3/4, y=15 meaning that if we plug one of the variables into an equation, we should obtain the other variable's number.
y=20x will result in y=15 when x=3/4 and vice versa.
I need the answer ASP ILL GIVE EXTRA POINTS
(28 POINTS) write the next three terms in the sequence.
Answer:
25, 34, 43
Step-by-step explanation:
its +9 per number
The total cost to take the ferry to Greene Island is a $12 fee for the car plus $3 for each passenger in the car. The graph shows this relationship.
50
45
40
35
Cost of Ferry 30
(s)
25
20
15
10
5
0
1
5
09
2
3
4
Number of Passengers
How will the graph change if the car fee is changed to $10?
A. The y-intercept will shift up.
B. The y-intercept will shift down.
OC. The slope of the line will increase.
D. The slope of the line will decrease.
Answer:
B. The y-intercept will shift down
Step-by-step explanation:
Hello!, All I wanted to ask was what is the answer to this question “Evaluate 9 + 7 x 5”
AND what does Evaluate mean?
Answer:
the answer is 44 and evaluate is just a fancy word for solve i believe
Step-by-step explanation:
6x=2x+-16 Same as the others I tried and I failed. :(
2 cm X 2.4 X ? = 10.08cm
Answer:
2 × 2.4 = 4.8
10.8÷ 4.8 = 2.1cm
i need help w this math q, ill mark branliest
Answer:
I would say 17.6 miles
Step-by-step explanation:
30 miles in 2 hours but we wanna know how many miles in 1.7 hours, I simply divided 30 by 1.7 and got 17.6 miles.
Simplify (1/2)^4.......................................................................
Answer:
[tex]-1/16[/tex]
Step-by-step explanation:
Answer:
1/16
Step-by-step explanation:
(1/2 × 1/2 × 1/2 × 1×2)
(1/4 × 1/4)
(1/16)
1. Name the x- and y-intercepts for the equation: 2x + y = 6 (0, 3) and (60) (0, -3) and (-6,0) (3,0) and (0,6) (-3,0) and (0, -6)
Answer:
x- (3,0) and y- (0,6)
Step-by-step explanation:
see picture below
hope this helps!! :)
— Зу + 5х = 26
- 2 - 5x = -16
y =
Answer:
y= -4
Step-by-step explanation:
-3y + 5x = 26
0y -5x = -14
____________
-3y = 12
y = -4
Plz help!
The Gazelle football team made 5 plays in a row where they gained
3 yards on each play. Then they had 2 plays in a row where they lost 12 yards on each play. What is the total change in their position from where they started?
Answer:
5 times 3 equals 15 so they gained 15 yards. 12 times 2 equals 24. 24 minis 15 equals 9.
(-5)²×(-5)⁴
answer it please
Answer:
15625
Step-by-step explanation:
(-5) ^ 2 * (-5) ^ 4
-5 to the second power is -25
-5 to the 4th power is -625
-25 * -625 = 15625
Just multiply 25 by 625 to get 15625 because negative * negative = positive
HOPE IT HELPED
3(x+-10)=5(2x+8) Honestly I hate math lol.
Answer:
- 10
Step-by-step explanation:
Step 1:
3 ( x - 10 ) = 5 ( 2x + 8 ) Equation
Step 2:
3x - 30 = 10x + 40 Multiply
Step 3:
- 30 = 7x + 40 Subtract 3x on both sides
Step 4:
- 70 = 7x Subtract 40 on both sides
Step 5:
x = - 70 ÷ 7 Divide
Answer:
x = - 10
Hope This Helps :)
in the diagram (triangle) ABC = (triangle) PQR.
a. Describe one transformation that maps (triangle) ABC to (triangle) PQR.
b. Describe two reflections that map (triangle) ABC to (triangle) PQR.
c. Reflect (triangle) ABC across the line y = x. Describe how to map image to (triangle) PQR.
Any number divisible by 3 is divisible by 6.
A.) True
B.) False, counterexample of 12
C.) False, counterexample of 15
Answer:
C.) False, counterexample of 15
1) 15 is divisible by 3 but not by 6
we know that 15 = 3*5 or 15/3=5, So 15 IS DIVISIBLE BY 3
BUT 15/6=2.5 THIS PROVES 15 IS NOT PERFECTLY DIVISIBLE BY 6
2) 12= 3*4 & 6*2
SO 12 IS PERFECTLY DIVISIBLE BY 3 & 6 BUT 15 IS NOT. THUS THE ANSWER IS 'C'
Answer:
c. False, counterexample of 15
Step-by-step explanation:
This statement is entirely incorrect although it can work vice versa meaning all multiples of 6 will be divisible by 3
A retiree has $200,000 to invest and needs to make $13,000 with her investments. If she can invest in government bonds at 6% or investment grade bonds at 8%, how much should she invest in each?
Answer:
She should invest 150,000 in government bonds and 50,000 in investment grade bonds
Step-by-step explanation:
Let the amount invested in government bonds be $y while the amount invested in investment bond be $x
Since total is $200,000
Then:
x + y = 200,000 ••••••(i)
Since 13,000 is what is expected to be earned, then this is like the interest.
thus;
6% of x + 8% of y = 13,000
6x/100 + 8y/100 = 13,000
Multiply through by 100
6x + 8y = 1300000 •••••••(ii)
From i, x = 200,000 - y
insert this into ii
6(200,000-y) + 8y = 1300000
1200000-6y + 8y = 1300000
2y = 1300000-1200000
2y = 100,000
y = 100,000/2
y = 50,000
but x + y = 200,000
thus, x = 200,000 - 50,000
x = 150,000
A fraction bar labeled 1. Under the 1 are 2 boxes containing one-half. Under the 2 boxes are 4 boxes containing one-fourth. 2 one-fourths are circled.
A fraction bar labeled one-fourth. Under the one-fourth are 2 boxes containing one-half. Under the 2 boxes are 4 boxes containing 1. 2 boxes containing 1 are circled.
A fraction bar labeled 1. Under the 1 are 4 boxes containing one-fourth. Under the 4 boxes are 8 boxes containing one-half. One box containing one-half is circled.
A fraction bar labeled 1. Under the 1 are 4 boxes containing one-fourth. Under the 4 boxes are 2 boxes containing one-half. One box containing one-half is circled.
Answer:
i think option D
Step-by-step explanation:
Answer:the man above me
Step-by-step explanation:
a large study used records from canada's national health care system to compare the effectiveness of two ways to treat prostate disease. The two treatments are traditional surgery and a new method that does not require surgery. The records described many patients whose doctors had chosen each method. The study found that patients treated by the new method were significantly more likely to die within 8 years. You have 300 prostate patients who are willing to serve as subjects in an experiment to compare the two methods. Describe a completely randomized design for this experiment. Write a few sentences describing how you would implement your design.
Answer:
To order to obtain the outcome, researchers should provide the health outcomes of every other process. Below however is the clarification given.
Step-by-step explanation:
Researchers are gathering medical reports from 200 surgeons as well as 200 non-surgeons who use surgical care. For such individuals, the researchers report ten-decade health outcomes as well as to measure which group lasts longer.These are ended up finding, as stated in the above research article, that patients treated by either a particular technique are more likely to suffer in less than 8 years.
Find the point-slope equation for the line
that passes through the points (30, 2) and
(15, -28). Use the first point in your
equation
y - [?
l(x - [
Answer:
y-30=2(x-2)
Step-by-step explanation:
m=y2-y1/x2-x1
-28-2=(-30)
15-30=(-15)
-30/(-15)=2
m=2
hope this helps =3
sorry if im wrong
how many moles is 264.06 grams of carbon dioxide?
6h + 20 is greater than for equal to 100 in a real world problem
Answer:
im sorry whats the question
Step-by-step explanation:
Answer:
Example:
John has 6 baskets that contain "h" amount of apples. His mom gives 20 more apples to him. The sum of John's dad's apples is 100. Write an inequality showing how many baksets of apples John needs in order to have more apples than his dad.
Solve for h: A = (1/2)*b*h*
O h = 2*A*b
O h = A *(b/2)
O h = (2*A)/b
0 h = (2+b)/A
Step-by-step explanation:
The answer is the third option
DeShaun and Vu are brothers who like to make bets about the outcomes of different contests between them. Before the last bet, the ratio of the amount of Deshaun's money to the amount of Vu's money was 4:7. Vu lost the latest competition, and now the ratio of the amount of Vu's money is 8:3. If Vu had $280 before the last competition, how much does Vu have now that he lost the bet?
Answer: Vu have $60.
Step-by-step explanation:
Given: Before bet, the ratio of the amount of Deshaun's money to the amount of Vu's money was 4:7.
Let Deshaun's money =4x and Vu's money = 7x
If Vu had $280 before the last competition, then
7x = 280
⇒ x = 40 [Divide both sides by 7]
Deshaun's money = 4x = 4 x 40 = $160
After Vu lost bet, ratio becomes 8:3.
Let Deshaun's money = 8y and Vu's money = 3y
For Deshaun, 8x = 160 ⇒ y = 20 [divide both sides by 8]
Vu's money = 3 (20)=$60
Hence, Vu have $60.
Answer:
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Step-by-step explanation:
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