Molly's custom kitchen supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supples to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks fr $5.60 and spoons for $5.40. Last April Molly's custom kitchen supples spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20 . How many forks and how many spoons did they make?

Answers

Answer 1

Answer: let the no of forks be x and no of spoon be y
1.7x + 1.3y = 37.9
5.6x + 5.4y = 147.2
solving for x and y, we get
multiplying eqn 1 by 5.6 and equation 2 by 1.7 we get
9.52x + 7.28y = 212.24
9.52x + 9.18y = 250.24
subsrtracting eqns we get
7.28y - 9.18y = 212.24 - 250.24
1.9y = 38
y = 20
x = (37.9 -1.3*20)/1.7
= 7

Related Questions

how many rectangular prism can you make out of 20 snap of cubes
The football team has 30 more members than the basketball teams. If each group had 10 more members, the ratio of their membership would be 3:2. How many members are in each group? Write your answer as football x basketball yHELP PLEASE !
How to factor completely: 15x²-40x-15
A map is drawn using a scale of 80 mi to 1 cm. On the map , the two cities are 7.5 cm apart. What is the actual distance between the two cities ??
Lourdes is listening to an audio book that is 9 hours long. She has listened for 6 1/6 hours so far. How many hours of listening time are left.

Two friends, Bob and Ben, each buy one lottery ticket. Each ticket contains six numbers from a total of one hundred numbers (0–99). Bob chooses the numbers 1, 2, 3, 4, 5, 6, and Ben chooses the numbers 39, 45, 66, 72, 74, 89. Who has a higher probability of winning?

Answers

Answer: Both has equal probability of winning.

Step-by-step explanation:

It is given that Bob and Ben, each buy one lottery ticket.

Each ticket contains six numbers from a total of one hundred numbers (0–99).

Since, both the friends have bought same number of ticket with 6 numbers on each ticket.

Probability for choosing any numbers from (0-99) is same for all numbers from 0 to 99 i.e. $(1)/(100)$ .

Therefore, The probability of winning would be equal for both the friends.

Ben has the higher probability of winning. I don't know the mathematical explanation but its kinda just really obvious that when they do the lottery balls (what are those called idk) there is a very very very little chance of them calling out those numbers in order. just because, you know, THERE'S A LOT OF FLIPPING NUMBER COMBINATIONS WHY GO WITH A FUDGING SEQUENCE WHAT THE FRUIT BOB

IF the navy pier ferris wheel in chicago has a circumference that is 56% of the circunference of the first ferris wheel built in 1893. a. What is the radius of the navy pier wheel?
b. what was the radius of the first ferris wheel?
c. The first ferri wheel took nine minutes to make a complete revolution. how fast was the wheel moving?

Answers

Answer:

a. The radius of the navy pier wheel is 56% of the radius of the first ferris wheel

b. The radius of the first ferris wheel was 179% of the radius of the navy pier ferris wheel

c. The wheel was moving at 0.70 $(rad)/(min)$

Step-by-step explanation:

Navy pier wheel circumference = Cn

First ferris wheel circumference = Cf

Cn = 0.56*Cf

Circumference Perimeter = 2*π*Radius

Navy pier wheel radius = Rn

First ferris wheel radius = Rf

Cn = 0.56*Cf

2*π*Rn = 0,56*2*π*Rf (equation 1)

dividing both sides by 2π

Rn = 0,56*Rf

From equation 1

2*π*Rn = 0,56*2*π*Rf

dividing both sides by 2π

Rn = 0.56*Rf

dividing both sides by 0.56

Rf = $(1)/(0.56)$ *Rn

Rf = 1.79*Rn

9 minutes / revolution

1 revolution = 2π radians

The wheel makes 2π radians in 9 minutes

Wheel velocity = $(2\pi )/(9) (rad)/(min)$

Wheel velocity = 0.70 $(rad)/(min)$

Lori rented a car for one day. The daily rental rate was $12.50 plus 25 cents per mile. The total cost of her rental was $46. How many miles did she drive that day?

Answers

134 miles is the distance she travelled

or the function f given above, determine whether the following conditions are true. Input T if the condition is ture, otherwise input F . (a) f′(x)<0 if 00 if x>2; F (c) f″(x)<0 if 0≤x<1; T (d) f″(x)>0 if 14; T (f) Two inflection points of f(x) are, the smaller one is x= 2 and the other is x= 2

Answers

In linear equation, the two inflection points of f(x) are at x = 1 or x = 4

What are instances of linear equations?

Ax+By=C is the typical form for linear equations involving two variables.
A standard form linear equation is, for instance, 2x+3y=5. It is rather simple to locate both intercepts when an equation is stated in this way (x and y).
When resolving systems of two linear equations, this form is also incredibly helpful.

We are aware that f(x) has a decreasing order if f'(x) 0 and a rising order if f'(x) > 0.

seen in the graph If f(x) is evidently growing on x (2, ) and decreasing on x ( 0,2) Since f(x) is dropping, if 0 x 2 is true, then f'(x) 0.

Since f(x) is rising, f'(x) > 0 if x > 2 is true.

Since f(X) is concave down, if 0 x 1 is true, then f"(x) 0 and vice versa.

Since f(X) is concave up, f"(x) > 0 and is true if 1 x 4

Given that f(X) has a concave downward shape, e) f"(x) 0 if x > 4 is true.

The two inflection points of f(x) are at x = 1 or x = 4.

Learn more about linear equation here:

brainly.com/question/11897796

#SPJ2

Answer:

0 if 0≤x<1; T (d) f″(x)>0 if 14; T