1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BigorU [14]
2 years ago
7

Malik stops at the grocery store to buy a bag of diapers and 2 cans of formula. He spends a total of $37. The next week he stops

and buys 2 bags of diapers and 5 cans of formula for a total of $87. How much does a bag of diapers cost? How much is one can of formula?
Mathematics
2 answers:
Sedbober [7]2 years ago
8 0

Answer:

Diapers costs $11 and formula is $13.

Step-by-step explanation:

Let's name diapers as A and formula as B.

Simply the equations:

1A + 2B = $37(1)

2A + 5B = $87(2)

Clear D from one equation.

A = $37 - 2B(1)

Replace D into the other equation.

2*($37 - 2B) + 5B = $87(2)

$74 - 4B + 5B = $87

$74 + B = $87

B = $87 - $74 = $13

Find A, now knowing B.

A = $37 - 2($13)

A = $37 - $26 = $11

Vaselesa [24]2 years ago
7 0

Answer:

Cost of a bag of diapers is $11 and cost of one can of formula is $13.

Step-by-step explanation:

Let cost of each diaper = $D and cost of each cans of formula = $C

Malik shops a bag of diapers and 2 cans of formula.

He spends total of $37.

So the equation will be

D + 2C = 37 -------(1)

Next week he stops and buys 2 bags of diapers and 5 cans of formula.

He spends total $87.

Equation for this purchase will be

2D + 5C = 87 ----------(2)

Multiply equation (1) by 2 and subtract it from equation (2).

2(D + 2C) - (2D + 5C) = 2×37 - 87

2D + 4C - 2D - 5C = 74 - 87

-C = - 13

C = 13

From equation (1)

D + 2×13 = 37

D + 26 = 37

D = 37 - 26

D = 11

Therefore, cost of a bag of diapers is $11 and cost of one can of formula is $13.

You might be interested in
A 10-yr-old competes in gymnastics. For several competitions, she received the following "All-Around" scores: 35.5, 36.3. 36.6,
Delicious77 [7]

Answer:

The child needs a score of 37.2 to move up to the next level of the competition.

Step-by-step explanation:

The mean is the sum of all scores divided by the number of competions. So

M = \frac{S}{T}

In which S is the sum of all her scores and T is the number of competitions.

The child has five competions:

Which means that T = 5

She has to get a mean of at least 36.5, so M = 36.5

Her scores are: 35.5, 36.3. 36.6, and 36.9. Her last score, i am going to call x. So

S = 35.5 + 36.3 + 36.6 + 36.9 + x = 145.3 + x

The child needs a score of _____ to move up to the next level of the competition.

This score is x. So

M = \frac{S}{T}

36.5 = \frac{145.3 + x}{5}

145.3 + x = 36.5*5

x = 37.2

3 0
2 years ago
What is the inverse of f(x)=x^4+7 for x&gt;0 where function g is the inverse of function f?<br> -
Ann [662]

Answer:

g(x) = \sqrt[4]{x-7},~ x\geq 7

Step by step explanation:

y= f(x) = x^4+7\\\\\text{Replace x with y and solve for y:}\\\\~~~~~~~x = y^4 +7\\\\\implies y^4 = x-7\\\\\implies y = \pm\sqrt[4]{x-7}\\\\ \implies f^{-1}(x) = \pm\sqrt[4]{x-7}

7 0
1 year ago
I need to solve xy I am so confused please
pychu [463]

Answer:

Step-by-step explanation:

In the question it’s given that : y=|x| => even if x will be a negative number,y will be positive.

1) -3 ; 3 ; (-3,3)

2) -2 ; 2 ; (-2,2)

3) -1 ; 1 ; (-1,1)

4) 0 ; 0 ; (0,0)

5) 1 ; 1 ; (1,1)

6) 2 ; 2 ; (2,2)

7) 3 ; 3 ; (3,3)

8 0
2 years ago
28 divided by 52 by using long division
OLga [1]

yea this is a tough one it wouldn't even have a full number t would be decimals

3 0
3 years ago
The price P of a good and the quality Q of a good are linked.
Irina-Kira [14]

the equilibrium point, is when Demand = Supply, namely, when the amount of "Q"uantity demanded by customers is the same as the Quantity supplied by vendors.

That occurs when both of these equations are equal to each other.

let's do away with the denominators, by multiplying both sides by the LCD of all fractions, in this case, 12.


\bf \stackrel{\textit{Supply}}{-\cfrac{3}{4}Q+35}~~=~~\stackrel{\textit{Demand}}{\cfrac{2}{3}Q+1}\implies \stackrel{\textit{multiplying by 12}}{12\left( -\cfrac{3}{4}Q+35 \right)=12\left( \cfrac{2}{3}Q+1 \right)} \\\\\\ -9Q+420=8Q+12\implies 408=17Q\implies \cfrac{408}{17}=Q\implies \boxed{24=Q} \\\\\\ \stackrel{\textit{using the found Q in the Demand equation}}{P=\cfrac{2}{3}(24)+1}\implies P=16+1\implies \boxed{P=17} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{Equilibrium}{(24,17)}~\hfill



3 0
3 years ago
Other questions:
  • What is the product in simplest form? −5/12⋅8/13
    10·1 answer
  • If m is the number of magic markers, which variable expression represents the phrase below?
    11·2 answers
  • What is the value of n in the equation<br> 1/2(n-1) - 3 = 3 - (2n + 3)?
    5·1 answer
  • Please help I don’t know how to simplify this
    15·1 answer
  • The difference between a number and 8
    14·1 answer
  • Monthly budget- Total income 2910. 52 Mortgage 1100, childcare 682, Electric 200, phone 188, cable/tv 190. 76, food and grocerie
    6·1 answer
  • Need help ASAP ..... Which of the following pairs best describes a transformation of Figure 1 into Figure 2 followed by a transf
    13·1 answer
  • Each Saturday morning, Beau practices throwing pitches to his dad. His dad estimates the probability of each pitch Beau throws b
    8·1 answer
  • (g o f)(6)
    7·2 answers
  • The base of a ladder is placed 2.8m away from a tree that is 4.5m tall. The end of the ladder touches the top of the tree. Calcu
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!