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
german
3 years ago
14

Kate used 555 grams of wool to knit a sweater, a hat, and a scarf. She used 5 times fewer grams for the hat than for the sweater

. She used 5 grams more for the hat than for the scarf. How many grams of wool did she use to knit each item?
Mathematics
1 answer:
elena55 [62]3 years ago
3 0

Answer:

Sweater =400 grams

Hat =80 grams

Scarf =75 grams

Step-by-step explanation:

The amount of wool used to make a sweater, a hat and a scarf=555 grams

Let the amount of wool used to make a sweater be = x

The amount of wool for the sweater =x/5

The amount of wool used for the scarf=x/5 -5

Total amount of wool used = x+(x/5)+(x/5-5)

x+x/5 +x/5-5=555

Multiply all through by the LCM 5

5x+x+x-25=2775

7x=2800

x=400

Sweater =400 grams

Hat=400/5=80 grams

Scarf =400/5 -5=75 grams

You might be interested in
A random sample of size 100 was taken from a population. A 94% confidence interval to estimate the mean of the population was co
Firlakuza [10]

Answer:

Step-by-step explanation:

1) The z value was determined using a normal distribution table. From the normal distribution table, the corresponding z value for a 94% confidence interval is 1.88

The correct option is D

2) if 70% of all internet users experience e-mail fraud. It means that probability of success, p

p = 70/100 = 0.7

q = 1 - p = 1 - 0.7 = 0.3

n = number of selected users = 50

Mean, u = np = 50×0.7 = 35

Standard deviation, u = √npq = √50×0.7×0.3 = 3.24

x = number of internet users

The formula for normal distribution is expressed as

z = (x - u)/s

We want to determine the probability that no more than 25 were victims of e-mail fraud. It is expressed as

P(x lesser than or equal to 25)

The z value will be

z = (25- 35)/3.24 = - 10/3.24 = -3.09

Looking at the normal distribution table, the corresponding z score is 0.001

P(x lesser than or equal to 25) = 0.001

7 0
4 years ago
Where does the FDIC’s reserve fund come from?
stich3 [128]
B I think we’ll hope this helps
8 0
3 years ago
If 66 oranges cost $15, how many oranges can be purchased for $5?
Rasek [7]

Answer:

22 oranges

Step-by-step explanation:

$15 --- 66 oranges

$5 --- \frac{5}{15} × 66 oranges = 22 oranges

7 0
3 years ago
A
max2010maxim [7]

Answer:

I guess 400g good for your diet. and health

3 0
3 years ago
2-2x2-(39 divided by 1)+2+9
artcher [175]
-30 is the answer for your question
6 0
3 years ago
Other questions:
  • If f(x)=7x, which of the following is the inverse of f(x)?
    13·2 answers
  • Pls help ill give brainiest
    14·1 answer
  • A florist is arranging flowers in vases. There are 4 red flowers and 5 white flowers in every vase. The florist wants to make on
    6·1 answer
  • Jin bought a pair of pants that cost $47.83. The sale tax in her state is 7.43 % what is the total cost of the pants ?
    15·1 answer
  • 4% of what number is 44?
    5·2 answers
  • Amelia filled 1/8 of her new aquarium with gravel. How much gravel did Amelia use?
    13·2 answers
  • There were 7 pizzas. 5 people ate all of the pizzas. each person ate an equal amount of pizza. how much pizza did each person ea
    15·1 answer
  • Attempt 1 of 2
    15·1 answer
  • If angle three is equal to 6x+16 and angle seven is equal to 2x+2 , solve for x.
    15·2 answers
  • 1) Consider the angle measurements. Which sides are congruent?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!