The cost of one small box is $10 and the cost of one large box of grapefruit is equal to $16.
This type of problem can be solved using linear equations.
If we consider x to be the cost of one small box and y to be the cost of one large box of fruit, the linear equations can be given as;
12x + 5y = 200
4x + 10y = 200
Multiplying the second equation by 3
12x + 5y = 200
12x + 30y = 600
Now by subtracting both equations we get;
-25y = -400
y = -400 / -25
y = 16
Now adding this value of y = 16 in the first equation;
12x + 5y = 200
12x + 5(16) = 200
12x + 80 = 200
12x = 200 - 80
12x = 120
x = 120 / 12
x = 10
Therefore, $10 is the cost of one small box and $16 is the cost of one large box of grapefruit.
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What is the slope equation for (7,5) and (2,-5)
Answer:
2
Step-by-step explanation:
To find the slope, m, you use the equation:
[tex]m \: = \frac{y2 - y1}{x2 - x1} [/tex]
From our question, (x1 = 7, y1 = 5) ; ( x2 = 2, y2 = -5)
Substitute the values into the equation:
[tex]m \: = \frac{ - 5 - 5}{2 - 7} \\ = 2[/tex]
The slope, m is therefore 2
Joaquin works at a loading dock. He has been asked to load 30 trucks today, and so far he has finished loading 12. Name the numerator and denominator of the fraction that represents the number of trucks that he has loaded out of the total needing to be loaded .
Answer:
first choice in the image.
numerator: 12
denominator: 30
Step-by-step explanation:
"Name the numerator and denominator of the fraction that represents the number of trucks that he has loaded out of the total needing to be loaded"
so numerator = "number of trucks that he has loaded"
and denominator = "total needing to be loaded"
Joaquin was asked to load 30 trucks today. So his/her total would be 30.
thus the denominator is 30.
Joaquin has finished loading 12 already, which means he/she has loaded 12. so, the numerator is 12.
please answer this question to do with shapes
please explain the steps in detail
Area of the shape formed by joining triangle , trapezium and rectangle with height 3.5cm is equal to 6.25cm².
As given in the question,
Height of the shape = 3.5cm
length of the rectangle =3cm
Base of a triangle= 8mm
= 0.8cm
Parallel sides of the trapezium
side1 = 0.8cm
side 2= 3cm
Let x represents the height
Ratio of the height of rectangle ,trapezium and triangle =2:3:2
2x +3x+2x =3.5
⇒7x =3.5
⇒x =0.5
Height of rectangle =2×0.5
= 1cm
Height of trapezium =3×0.5
= 1.5cm
Height of the triangle =2×0.5
= 1cm
Area of triangle = (1/2)× 0.8 ×1
= 0.4cm²
Area of trapezium = (1/2) ×(0.8+3)×1.5
= 2.85cm²
Area of rectangle = 3 ×1
=3cm²
Area of the shape =0.4 +2.85 +3
= 6.25cm²
Therefore, area of the shape formed by joining triangle , trapezium and rectangle with height 3.5cm is equal to 6.25cm².
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a large water tank holds 800 gallons of water . it is losing water at the rate shown in the table. PLEASE HELP- I CAN'T FIND ANY ANSWER FOR THIS ANYWHERE
The slope of equation is -80 and the equation of a line is y=-80x+800.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Given that, a large water tank holds 800 gallons of water.
From the table, we have (0, 800) and (1, 720)
Here, slope m=(720-800)/(1-0)
m= -80
Substitute m=-80 and (x, y)=(0, 800) in y=mx+c, we get
800=-80(0)+c
c=800
Substitute m=-80 and c=800 in y=mx+c, we get
y=-80x+800
Therefore, the slope of equation is -80 and the equation of a line is y=-80x+800.
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4.
Rectangle MATH was translated 7 units to the left and 4 urlits down to create rectangle M'ATH'. Which rule describes this transformation?
The rectangle MATH is translated by using the transformation rule P'(x, y) = (x - 7, y - 4) to create the rectangle M'A'T'H'.
What is the resulting rule transformation for the translation of a rectangle?
In this problem we have the case of a rectangle, a geometric locus, that is translated both horizontally (7 units to the left) and vertically (4 units down). Vectorially speaking, a translation is represented by the following vector sum:
P'(x, y) = P(x, y) + T(x, y) (1)
Where:
P(x, y) - Original point.P'(x, y) - Resulting point.T(x, y) - Translation vector.If we know that P(x, y) = (x, y) and T(x, y) = (- 7, - 4), then the transformation rule is derived below:
P'(x, y) = (x, y) + (- 7, - 4)
P'(x, y) = (x - 7, y - 4)
The rectangle MATH is translated by making use the transformation rule P'(x, y) = (x - 7, y - 4).
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Make x the subject of the following equation:
[tex] \sqrt{4x} = 3a - y \\ \sqrt{4} \times \sqrt{x} = 3a - y \\ 2 \sqrt{x} = 3a - y \\ \frac{2 \sqrt{x} }{2} = \frac{3a}{2} - \frac{y}{2} \\ \sqrt{x} = \frac{3a}{2} - \frac{y}{2} \\ ( { \sqrt{x} })^{2} = {( \frac{3a}{2} - \frac{y}{2} })^{2} \\ x = ( \frac{3a}{2} - \frac{y}{2} ) ^{2} [/tex]
ATTACHED IS THE SOLUTION
Ella needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3 hours and charged her $61 for parts. The total was $226. Write and solve an equation which can be used to determine x, the cost of the labor per hour.
Answer:
x = 55
Step-by-step explanation:
61+3×X=226
61+3x=226-61
3x=165
x= 165/3
x= 55
-k-(-8k+7)
what is the answer
Answer:
7k-7
Step-by-step explanation:
[tex]-k-(-8k+7) \\ \\ =-k+8k-7 \\ \\ =7k-7[/tex]
HELPPPPPPPPPPPPPPP MEEEE
Answer: 244.92 square inches
Step-by-step explanation:
The radius is half the diameter so is 3 inches
Substitute r=3 and pi= 3.14 into the equation:
SA= (2x3.14x9) + (2x3.14x3x10)
Put that into your calculator and you get 244.92
What is 2.87 rounded to the nearst tenth
What is the value of x in the equation?
6x + 24 - 4x = 30
Answer:2x+ 24
Step-by-step explanation:
6x-4x=2x+ 24
Answer:
✨hello mark as branlist pls x=3
Step-by-step explanation:
6x+24−4x=30
6x+24−4x=30
6x+24+−4x=30
(6x+−4x)+(24)=30
2x+24=30
2x+24=30
2x+24−24=30−242x=6
2x
2
=
6
2
x=3
Increasing
decreasing
concave up
concave down
Answer:
won't that be concave up?
Three less than the product of 7 and half a number
MATHEMATICALLY THIS CAN BE WRITTEN AS
Let that number =x
[tex] \frac{1}{2} (x) \times 7 - 3 \\ = \frac{x}{2} (7) - 3 = \\ = \frac{7x}{2} - 3[/tex]
State a true conclusion.
1) If Bis between A and C, then AB+ BC = AC.
2) Qis between Rand S.
Conclusion:
Both conclusion are correct and the second conclusion is RS = RQ + QS.
What is a midpoint of line segment?The midpoint is halfway between the two end points, Its x value is halfway between the two x values. Its y value is halfway between the two y values.
Given that,
Part 1, If B is between A and C then AB + BC = AC
Then, we need to find the conclusion in Part 2 if Q is between R and S.
The required conclusion can be find out by using the concept of deductive reasoning.
Deductive reasoning involves a pattern which is followed in one argument and by following the same pattern we reach to a conclusion for some other argument.
Now, If we see in Part 1 if B is between A and C then the length of line segment AC is equal to sum of its mid segments AB and BC
⇒ AB + BC = AC
Similarly, if Q is between R and S, then the length of line segment RS is equal to sum of its mid segments RQ and QS
⇒ RS = RQ + QS
Hence, The required Conclusion is RS = RQ + QS.
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3
5
of the fish in Carson's fish tank are guppies.
3
4
of the guppies are red. What fraction of the fish in Carson's tank are red guppies?
Answer:
9/20
Step-by-step explanation:
3/5 is the same as 12/20, so 12 fish are guppies, now 3/4 is also 9/12, so 9 of the fish are red guppies, 9/20 is in the simplest form
Please help!
In the diagram of triangle ABD shown below, point C is located on BD such that AB is congruent AC and AC DC. I
m/B=62°, what is the measure of angle ADC?
Step-by-step explanation:
follow the steps and apply the rules of geometry
A bakery made 9 cakes using 3 bags of flour. The bakery uses the same relationship between cakes made and the amount of flour used to make all their cakes.
Which table of values shows the relationship between the number of cakes the bakery makes and the number of bags of flour the bakery uses?
The table of values showing the relationship between the number of cakes the bakery makes and the number of bags of four the bakery uses is:
Cakes | 3 6 9 12 15
Bags of flour| 1 2 3 4 5
A bakery made 9 cakes using 3 bags of flour.
We can introduce a relation between the number of cakes and the bags of flour in the form of a ratio.
Then, cakes : bags of flour = 9 : 3
We can simplify this ratio into 3:1.
So the ratio between the number of cakes and bags of flour = 3:1
We take values for number of bags of flour from 1 to 5 and found the corresponding values for number of cakes using the ratio 3:1.
For each value of number of bags of flour, we just needed to multiply 3 with it to get the number of cakes made.
So using this relationship between cakes made and the amount of flour used to make all their cakes, we can makes table with values:
Cakes | 3 6 9 12 15
Bags of flour| 1 2 3 4 5
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Erin and her dad share an intense love of baseball. every weekend, they go to the batting cages to practice hitting. erin's dad buys tokens for her to use in the batting cage. there is a proportional relationship between the number of tokens erin uses, x, and the number of pitches thrown by the pitching machine, y. x (tokens) y (pitches) 1 14 2 28 3 42 7 98 write an equation for the relationship between x and y. simplify any fractions.
The relationship between x and y is given by Y=14*X;
Relationship between the number of tokens Erin uses, x, and the number of pitches thrown by the pitching machine, y. x (tokens) y (pitches) 1 14 2 28 3 42 7 98
by, observing the given data we say that;
x is proportional to y so, the general equation is given by
x ∝ y so, by removing the proportionality sign we get y=k*x;
now using given x and y we put in this equation to get the value of k; then by substituting the value of k in this equation we get our required equation.
so, putting x=1 and y=14 we get k=14;
and, putting x=2 and y=28 we get k=14;
and putting x=3 and y =42 we get k=14;
similarly, the last data satisfy the equation.
By putting k =14 in the equation we get, Y=14*X
thus, Y=14*X is our required answer.
also, we solve this problem by using the equation of line concept;
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Multi step equation: -8(2-3x)=104
Of the 50 students in the sixth grade, 16 are girls. What percent are girls?
Answer:
Step-by-step explanation:
That is (16/50) * 100
= 16 * 100/50
= 16 *2
= 32%.
Answer: 32%
Step-by-step explanation:
put it into a fraction, 16/50 then multiply by 2 to get 32/100 now you can turn that into a percent to get 32%
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Match the operation with it's inverse operation you would use to solve an equation
Answer:
1. e
2. c
3. f
4. b
5. a
6. d
Step-by-step explanation:
Addition - Subtraction
Subtraction - Addition
Multiplication - Division
Division - Multiplication
x^2 = square root X
square root x = x^2
Answer:
A to 5. B to 3. C to 1. D to 6. E to 2. F to 4.
Step-by-step explanation:
It makes sense.
What’s x-7-9=2-8x
Please I need it now
hope it's true.
yes
x-7-9=2-8x
-16-2 = -8x-x
x= 18/9
x= 2
Use the number 2 4 6 and 8
__+(__-__)_=2
2) you are comparing two investment options that each pay 6 percent interest, compounded annually. both options will provide you with $12,000 of income. option a pays $2,000 the first year followed by two annual payments of $5,000 each. option b pays three annual payments of $4,000 each. which one of the following statements is correct given these two investment options? assume a positive discount rate. (no calculations needed.) a) both options are of equal value since they both provide $12,000 of income. b) option a has the higher future value at the end of year 3. c) option b has a higher present value at time 0. d) option b is a perpetuity. e) option a is an annuity.
Answer:
The correct answer is B) Option B has a higher present value at time zero.
Step-by-step explanation:
We use spreadsheets to compare both options.
We have to calculate
future value
present value
Option A
Net Present Value (NPV) 10534,87
Future value 12.547
Option B
Net Present Value (NPV) 10692,05 is higher than option A
Future value 12.734 is higher than option A
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If two dice are rolled at one time what's the probability of getting a sum less than or equal to 10
Answer
Step-by-step explanation:
When one dice is rolled, the total sample space = 6 When two dice is rolled, total sample space = 6*6=36 A) P(sum less than 9) = 1 - P(sum greater than or equal to 9) Sample outcomes for sum greater than or equal to 9 = {(3,6),(4,5),(5,4),(6,3),(4,6), (5,5),(6,4), (5,6), (6,5),(6,6)} P(sum greater than or equal to 9) = 10/36 = 5/18 or 0.2778 P(sum less than 9) = 1-5/18 = 13/18 or 0.7222 B)Sample outcomes for sum greater than or equal to 10 = {(4,6),(5,5),(6,4), (5,6),(6,5),(6,6)} P(sum greater than or equal to 10) = 6/36 = 1/6 or 0.1667 C) sample outcomes for event 3 on one die or both = {(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),(1,3),(2,3), (4,3),(5,3),(6,3)} P(3 on one die or both die) = 11/36 or 0.3056
Round to the nearest dollar $6.34
How do I find x in this question?
Answer:120
Step-by-step explanation:
When it is flat it is 180 degree so
180=60+x
Minus 60 on both side
120=x
20 POINTS A company uses functions to model the costs to produce and market a product.
The cost, in thousands of dollars, to produce x units of the product is modeled by function j:
j(x) = 17 + 0.05x.
The cost, in thousands of dollars, to market x units of the product is modeled by function k:
k(x) = 4 + 0.03x.
Which function correctly represents the total cost, in thousands of dollars, to produce and market x units of the product?
A.
c(x) = 21 + 0.08x2
B.
c(x) = 13 + 0.02x2
C.
c(x) = 13 + 0.02x
D.
c(x) = 21 + 0.08x
Answer:
D
Step-by-step explanation:
We can add the two functions.
[tex]j(x)+k(x)=(17+0.05x)+(4+0.03x)=21+0.08x[/tex]
L2) In a class of 27 students, there are 13 male students and 14 female students. What is the probability of randomly choosing 2 male students for class representatives?
Help -crys- "pacman traveled 18 feet every 6 seconds. pacman's distance is proportional to time. (im not in high school im in middle school i dont know why it says that)
Constant of Proportionality
k=___
Based on the distance that Pacman traveled for every 6 seconds, and the distance being proportional to time, the Constant of Proportionality is 3.
How to find the constant of proportionality?The Constant of Proportionality shows how the quantity of a variable increases of decreases as the quantity of another related variable increases or decreases as well.
In the distance traveled by Pacman, the constant of proportionality can be found by the formula:
= Distance traveled / Time traveled
= 18 feet / 6 seconds
= 3 feet per second
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