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
ladessa [460]
3 years ago
12

A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 6 grams and the amo

unt of gold in each necklace is 16 grams. The jeweler used 178 grams of gold and made 7 more necklaces than bracelets. Write a system of equations that could be used to determine the number of bracelets made and the number of necklaces made. Define the variables that you use to write the system.
Mathematics
1 answer:
nikitadnepr [17]3 years ago
4 0

Answer:

The jeweler made 11 bracelets and 7 necklaces.

Step-by-step explanation:

Given that a jeweler had a fixed amount of gold to make bracelets and necklaces, and the amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 16 grams, knowing that the jeweler used 178 grams of gold and made 7 more necklaces than bracelets, to determine a system of equations that could be used to determine the number of bracelets made and the number of necklaces made, the following mathematical reasoning should be considered:

(16 - 6) x 7 = 70

178 - 70 = 108

108/6 = 18

18 - 7 = 11

(11 x 6) + (7 x 16) = X

66 + 112 = X

178 = X

Thus, the jeweler made 11 bracelets and 7 necklaces.

You might be interested in
What expression is equavalent to -72x+60
lozanna [386]
-36x+30

-24x+20

-18x+15

-12x+10


8 0
3 years ago
Based on the regression output, which of the following is the predicted time, in minutes, that it took to gather the items if th
devlian [24]

Answer:

The predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

Step-by-step explanation:

Regression Output :

Predictor                            Coefficient

Constant                             3.0979

Square root of items          2.7633

R.sq.- 96.7%

So, with this data the regression equation is,

\hat{y}=3.0979+2.7633x

Now we are supposed to find the predicted time, in minutes, that it took to gather the items if the order has 22 items

Substitute x =22 in equation

\hat{y}=3.0979+2.7633(22)

\hat{y}=63.8905

Hence the predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

8 0
3 years ago
a bathtub mat is in the shape of a semicircle. the straight side of the mat is 24 in. What is the perimeter of the mat in terms
matrenka [14]
24 x 3.14= 75.36
75.36÷2=37.68
5 0
3 years ago
A school has two varsity basketball teams. One is the girls' team, and the other is the boys' team. On any given Saturday in Dec
belka [17]

The probability that either the girls' or boys' team gets a game is 0.85            

Step-by-step explanation:

Step 1:

Let P(G) represent the probability of girls team getting a game and P(B) represent the probability of the boys team getting a game.

P(B ∪ G) represents the probability of either girls and boys team getting a game.

P(B ∩ G) represents the probability of both girls and boys team getting a game.

Step 2:

It is given that P(G) = 0.8, P(B) = 0.7 and P(B ∩ G) = 0.65

We need to find the probability of either girls or boys team getting a game which is represented by P(B ∪ G)

Step 3:

P(B ∪ G) = P(B) + P(G) - P(B ∩ G)

= 0.8 + 0.7 - 0.65 = 0.85

Step 4:

Answer:

The probability that either the girls' or boys' team gets a game is 0.85

5 0
3 years ago
XYZ is a dilation of triangle ABC by a scale factor of 5. Which of the following proportions verified that triangle ABC and XYZ
Dima020 [189]

Answer:

C. AB/XY = AC/XZ

Step-by-step explanation:

Dilation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The original figure either stretches or shrinks by a certain factor.

In the problem, the dilation is by a factor of 5 and we can see that ABC shrinks to form XYZ.

So, ABC and XYZ are similar triangles which means that the ratio of their corresponding sides will be equal:

AB/XY = AC/XZ = BC/YZ = 5

5 0
3 years ago
Read 2 more answers
Other questions:
  • Find the product of (x² - 5)² using identities​
    12·1 answer
  • Emily made 75% of the baskets that she attempted if she may nine baskets how many attempts did you make?
    15·1 answer
  • Help Please?
    10·1 answer
  • Use the data in the table to answer the question. Citations are "speeding tickets." You may fill in the table to help you answer
    8·1 answer
  • What are the answers to these and how do I do it
    7·1 answer
  • Which is a good comparison of the estimated sum and actual sum of 7 holes 9+/12<br> holes and 11 12s
    8·1 answer
  • Which statements are true about x? Select three options. x ∈ B ⋃ C x ∈ B ∩ C x ∈ A ⋃ C x ∈ A ∩ C x ∈ A
    5·2 answers
  • QUICK HELP
    12·1 answer
  • 8. What is m&lt;1<br> 77<br> 1<br> 56<br> A 103°<br> | C 133°<br> C °<br> D 124°<br> B 47°
    6·1 answer
  • Helpppppp what is the x!!!!!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!