answer.
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
Irina18 [472]
2 years ago
12

555 grams of wool were needed to knit a sweater, a hat, and a scarf. The hat required 5 times less wool than the sweater and 5 g

rams more than the scarf. How many grams of wool did each item require?
Pls help!
Mathematics
1 answer:
Grace [21]2 years ago
4 0

Answer:

The grams of wool needed to knit a sweater was 400 grams

The grams of wool needed to knit a hat was 80 grams

The grams of wool needed to knit a scarf was 75 grams

Step-by-step explanation:

Let

x ------> grams of wool needed to knit a sweater

y -----> grams of wool needed to knit a hat

z -----> grams of wool needed to knit a scarf

we know that

x+y+z=555 -----> equation A

y=x/5 ----> x=5y -----> equation B

y=z+5 ---> z=y-5 ----> equation C

substitute equation B and equation C in equation A and solve for y

(5y)+y+(y-5)=555

7y=555+5

7y=560

y=80 grams

<em>Find the value of x</em>

x=5(80)=400 grams

<em>Find the value of z</em>

Z=80-5=75 grams

therefore

The grams of wool needed to knit a sweater was 400 grams

The grams of wool needed to knit a hat was 80 grams

The grams of wool needed to knit a scarf was 75 grams

You might be interested in
Quadrilateral ABCD is translated 7 units down and 2 units to the right.
Inessa05 [86]
It will remain the same. 
6 0
2 years ago
Read 2 more answers
A single carton of juice costs $4.20. A special offer pack of 3 cartons costs $9.45. Ali bought a special offer pack instead of
fgiga [73]

1 cartons of juice = $4.20

3 single cartons = 4.20 * 3 =  $12.60

1 pack = $9.45

He saved 12.60 - 9.45 = $3.15

So, he saved $3.15, compared to the total ($12.60)

To calculate the percentage, we will do a proportion:

3.15 (money saved) : 12.60 (total of 3 single cartons) = x (how much percentage) : 100 (total)

3.15 : 12.6 = x : 100

To calculate x, we will moltiplicate the ends (where we have known numbers) than divide all per 12.6

So

x = (3.15 * 100) / 12.60 = 315 / 12.6 = 25

So the percentage saving is 25%

6 0
2 years ago
Heidi grew her hair out for many years. Her hair was 1\dfrac{1}{3}1 3 1 ​ 1, start fraction, 1, divided by, 3, end fraction of a
RSB [31]

Answer:

Heidi hass really kong hair and should cut it

7 0
2 years ago
A dentist is making identical dental care bags for patients using 56 tubes of toothpaste, 112 packets of floss, and 85 toothbrus
marin [14]

Answer : Greatest number of identical dental care bags the dentist can make with the least items leftover is 1.

Number of bags will be 2,4,3 respectively.

Explanation:

Number of tubes of toothpaste = 56

Number of packets of floss = 112

Number of toothbrushes = 85

So, Greatest number of identical dental care bags the dentist can make with the least amount of items leftover from toothbrush  = H.C.F of 56,112, 85=   1   ( ∵ as they are coprime to each other )

Since there is no common factor among 56,112,85 but there is common factor between 56 and 112 i.e. 56 remaining bags from toothbrushes will be 85-56=29 .

So we consider 28 ,

Now, 56 can be written as 28×2

112 can be written as  28×4 and

84 can be written as 28× 3

So, there can be 28 bags in which all the three materials can be present  and there is no leftover from toothpaste and floss but there is leftover from toothbrushes only as we consider 84 instead of 85 to get divisible by 28 so we get the common factor easily.

so, there will be 2 two bags for toothpastes and 4 bags for floss and 3 bags for toothbrushes.

8 0
2 years ago
A contractor is in charge of hiring people for a construction project. The number of days it would take to complete the project
sweet-ann [11.9K]

Answer:

\text{Domain of x}=[1,\infty), x \in Z^+

Step-by-step explanation:

Given the function: f(x)=\dfrac{280}{x},$ where:

f(x) =number of days it would take to complete the project

x =number of full-time workers.

\text{When x=0, }f(x)=\dfrac{280}{0}=$Undetermined\\\text{When x=1, }f(x)=\dfrac{280}{1}=$280 days\\\text{When x=280, }f(x)=\dfrac{280}{280}=$1 day\\\text{When x=560, }f(x)=\dfrac{280}{560}=$0.5 days

The domain of a function is the complete set of possible values of the independent variable.

In this case, the independent variable is x, the number of full-time workers. We have shown that x cannot be zero as there must be at least a worker on ground.

Therefore, an appropriate domain of the function f(x) is the set of positive integers (from 1 to infinity).

\text{Domain of x}=[1,\infty), x \in Z^+

7 0
2 years ago
Other questions:
  • Which expression has the same value as -18÷(-9)
    9·2 answers
  • Determine the total value of the merchandise using net realizable value. item quantity selling price commission doll 10 $7 $2 ho
    15·2 answers
  • If there are 3 boys for every 4 girls in the choir, how many boys are there if there are 42 students?
    7·1 answer
  • The linear equation shown below expresses the revenue of a café based on the number of children and adults who ate there last Tu
    11·2 answers
  • Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is viable solutio
    7·1 answer
  • Lakya is using the Distributive Property to divide 128 by 4. Which does not show a
    6·1 answer
  • A hot tub pump circulates 4 cubic feet of water per minute. How many cubic inches of water does it circulate each minute?
    14·1 answer
  • Which function has the same domain as y = 2 StartRoot x EndRoot
    15·1 answer
  • The student council is selling cupcakes at the school play.
    8·1 answer
  • 311, 305,299,...Find the 32nd term.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!