On​ Monday, Luis picked up seven scones and six large coffees for the office staff. He paid $ 29.97. On​ Tuesday, Rachel picked up four scones and five large coffees for the office staff. She paid $ 20.08. What is the cost of one​ scone? What is the cost of one large​ coffee?

Answers

Answer 1
Answer:

Answer:

each scone cost 2.67

each coffe cost 1.88

Step-by-step explanation:

Luis:

(1)  29,97=7Scons+6Coffe

(2)  Scons=(29,97-6coffe)/7

Rachel

(3)  20,08=4scons+5Coffe

if we replace eq.(2) in (3)

(4)   20,08=4*(29,97-6coffe)/7+5coffe

 (5)  20,08=17.1257+1,5714 coffee

(6)  coffe=1,88

if we replace (6) in (2) we obtain

scons=(29,97-6*1.88)/7=2.67

Answer 2
Answer:

Final answer:

Let S represent the price of a scone and C represent the price of a coffee. Form equations from the given information (7S + 6C = $29.97 and 4S + 5C = $20.08) and solve them simultaneously to find the price of a scone and a coffee.

Explanation:

This is an algebra problem where you can set up two equations based on the information given. If we represent the price of a scone as S and the price of a large coffee as C, we can say:

  • 7S + 6C = $29.97 (Luis' purchase)
  • 4S + 5C = $20.08 (Rachel's purchase)

You can then solve these equations simultaneously to find the values of S and C, which represent the price of a scone and a large coffee, respectively.

Learn more about Algebra here:

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Solve the system:
2x-5y=7
3x-2y=-17

Answers

\begin{cases}2x-5y=7 \ \ /*3 \n 3x-2y=-17\ \ / *(-2) \end{cases}\n \n\begin{cases}6x-15y=21 \n -6x+4y= 34 \end{cases}\n+ \ ------- \n-11y=55 \ \ / :(-11)\n \ny=-(55)/(11)

y=-5 \n \n 2x-5y=7\n \n2x-5*(-5)=7\n \n2x+25=7\n \n2x=7-25

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let m represent the number of Children playing soccer these Children are separated in to 4 equal teams write an expression for the number of Children on each team

Answers

m children are separated into 4 equal teams.

The number of children on each team:
\boxed{(m)/(4)}

Answer: m/4


Step-by-step explanation:

M represents the number of children so you would divide them into 4 groups

A researcher wished to gauge public opinion on gun control. He randomly selected 1000 people from amongst all registered voters and asked them the following question: "Do you believe that gun control laws which restrict the ability of Americans to protect their families should be eliminated?". Identify the abuse of statistics.A) nonresponse

B) loaded question

C) self interest

D) reported results

Answers

Answer:

B) Loaded question  is the answer. A loaded question is a complex question that contains unjustified assumptions.

Step-by-step explanation:

The abuse of statistics refers to the misuse of numerical data sometimes due to error or sometimes intentionally to manipulate people's opinions. This abuse can cause a biased opinion if the person is not careful to notice the error or manipulation.

Here, we can see that the researcher has clearly stated, that gun control law prevents the ability of families to protect themselves. This can give biased opinions. Rather it should have been simply asked if the people wanted to eliminate such law.

The answer is
B. Loaded question

The ratio of boys to girls in a group is 7:2. If there are 65 more boys than girls, work out how many boys there are.

Answers

Answer:

91 boys

Step-by-step explanation:

Given that the ratio of boys to girls = 7 : 2 = 7x : 2x ( x is a multiplier )

There are 65 more boys than girls , thus

7x = 2x + 65 ( subtract 2x from both sides )

5x = 65 ( divide both sides by 5 )

x = 13

There are 7 × 13 = 91 boys in the group

低于当地人民:或立场上有一些事情了!儿女情长的好了吗我想做出

what is the approximate volume of a tree trunk if the trunk is 13 feet tall with a circumference of 4.5 feet

Answers

Answer:

V=21.17³

Step-by-step explanation:

c=2πr

4.5=2(3.14)r

4.5/6.28=6.28r

6.28s cancel each other out

7.16=r

round

V=πr²h

V=21.17³

Volume of a cylinder is \pi r^(2) h
C = \pi 2r
4.5/2\pi = r
0.7162 = r
\pi r^(2) 13 = 20.91

What are the dimensions of the rectangle?

Answers

the dimensions would be 18 by 5.5. because you know the area is 99, and you know the area formula is length multiplied by width, you set the dimensions to 99, and continue to solve for x. then you plug the x value into the length’s dimension to get 18.