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Marrrta [24]
3 years ago
14

Pablo's Gourmet Pretzel Shop specializes in selling the very finest chocolate covered pretzels. Rico bought 4 white chocolate pr

etzels and 6 dark chocolate pretzels for $10.50. Holden bought 8 white chocolate and 3 dark chocolate pretzels for $9.75. Determine the total cost for 6 white chocolate pretzels and one dark chocolate pretzel.
Mathematics
1 answer:
Evgen [1.6K]3 years ago
7 0

Answer:

Step-by-step explanation:

Let x represent the cost of one white chocolate pretzel.

Let y represent the cost of one dark chocolate pretzel.

Rico bought 4 white chocolate pretzels and 6 dark chocolate pretzels for $10.50. This means that

4x + 6y = 10.5 - - - - - - - - - - -1

Holden bought 8 white chocolate and 3 dark chocolate pretzels for $9.75. This means that

8x + 3y = 9.75 - - - - - - - - - 2

Multiplying equation 1 by 8 and equation 2 by 4, it becomes

32x + 48y = 84

32x + 12y = 39

Subtracting, it becomes

36y = 45

y = 45/36 = $1.25

Substituting y = 1.25 into equation 1, it becomes

4x + 6 × 1.25 = 10.5

4x + 7.5 = 10.5

4x = 10.5 - 7.5 = 3

x = 3/4 = $0.75

the total cost for 6 white chocolate pretzels and one dark chocolate pretzel would be

6 × 0.75 + 1 × 1.25 = 4.5 + 1.25 = $5.75

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This question is too hard
OLga [1]

Answer:

27 children

Step-by-step explanation:

For every 9 children, there are 4 adults. Those numbers added together equal 13. Now, if we divide the total number of adults and children by 13, we will get the number of how many groups there are of 9 kids and 4 adults.

39 / 13 = 3

There are 3 groups of 9 kids and 4 adults, which means to find the total number of children, we have to multiply 3 by 9.

3 * 9 = 27

Therefore, there are 27 children total. I know this was probably really confusing, but I hope it helped in some way! Have a lovely day!! :)

3 0
2 years ago
MO bisects angle LMN , angle LMO = 6x-22 and angle NMO = 2x +34. Solve for x and find angle LMN.
Mkey [24]

Answer:

  • x=14
  • \angle{LMN}=124\textdegree

Step-by-step explanation:

<u><em>To Determine:</em></u>

Solve for x and find angle LMN.

<u><em>Fetching Information and Solution Steps:</em></u>

Considering the angle \angle{LMN}

As MO bisects the angle \angle{LMN} into two equal angle parts. These equal angles are:

\angle{LMO}=6x-22

\angle{NMO}=2x+34

As these angles are equal. i.e.

\angle{LMO}=\angle{NMO}

6x-22=2x+34

\mathrm{Add\:}22\mathrm{\:to\:both\:sides}

6x-22+22=2x+34+22

6x=2x+56

\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}

6x-2x=2x+56-2x

4x=56

\mathrm{Divide\:both\:sides\:by\:}4

\frac{4x}{4}=\frac{56}{4}

\mathrm{Simplify}

x=14

Hence, x=14

As  \angle{LMN} was cut into two equal parts \angle{LMO} and \angle{NMO}

So,

\angle{LMN} = \angle{LMO} + \angle{NMO}

            = 6x-22+2x+34

            = 8x + 12

            = 8(14) + 12     ∵ x=14

            = 124\textdegree

Therefore, \angle{LMN}=124\textdegree

Keywords: angle bisector, congruent angles

Learn more about angle bisector and congruent angles from brainly.com/question/711370

#learnwithBrainly

3 0
3 years ago
A scientist testing the effects of a chemical on apple yield (apples/acre) sprays an orchard with the chemical. A second orchard
JulsSmile [24]

Following are the dependent variables:

<em>1. The amount of water that each orchard receives.</em>

<em>2. The species of trees in the orchard.</em>

Reason:

The exercise scientist is looking for the effects of a chemical between an apple crop to which it is administered and another to which it is not, 4 options are presented, of which it is essential to count as a variable the amount of water each Orchard and tree species in the orchard, since they can generate alterations in the results, the other two variables of the exercise such as number of apples and size of the orchards are not significant and their variations do not affect the scientist's objective.

Learn more about Dependent Variable on:

brainly.com/question/1670595

#SPJ4

3 0
2 years ago
How to isolate a variable
Oksana_A [137]

Answer:

The basic technique to isolate a variable is to “do something to both sides” of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number. By repeating this process, we can get the variable isolated on one side of the equation.

Step-by-step explanation:

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3 years ago
A store sells a twelve pack of markers for $20. How much does it cost for one marker?
Elenna [48]

Answer:

$1.67

Step-by-step explanation:

Take the total cost and divide by the number of markers

$20/12 =1.6666666

Since we are dealing with money we round to the nearest cent

$1.67

7 0
3 years ago
Read 2 more answers
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