Answer:
The number of yards of silk = x = 1.5 yards
The number of yards of cotton = y = 2.75yards
Step-by-step explanation:
At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard.
Find the solution of the system of equations. Explain or show your reasoning
{x+y=4.25} ; {16.90x+4y=36.35}
Let the number of yards of silk = x
The number of yards of cotton = y
We are given the system of equations:
{x+y=4.25} ......Equation 1
x = 4.25 - y
{16.90x+4y=36.35}....... Equation 2
4.25 - y for x in Equation 2
16.90(4.25 - y) + 4y = 36.35
71.825 - 16.90y + 4y = 36.35
71.825 - 36.35 = 16.90 - 4y
35.475 = 12.90y
y = 35.475/12.90
y = 2.75 yards.
The number of yards of cotton = y
{x+y=4.25} ......Equation 1
x = 4.25 - y
x = 4.25 - 2.75
x = 1.5 yards
The number of yards of silk = x = 1.5 yards
The yards of silk bought is 1.49 yards and the yard of cotton bought is 2.76 yards.
The two equations are known as simultaneous equation. They would be solved using elimination method.
x + y = 4.25 equation 1
16.90x + 4y = 36.25 equation 2
where:
x = yards of silk bought
y = yards of cotton bought
In order to determine the value of x, multiply equation 1 by 4.
4x + 4y = 17 equation 3
Subtract equation 3 from 2
19.25 = 12.90x
Divide both sides of the equation by 12.90
x = 1.49 yards
In order to determine the value of y, substitute for x in equation 1
1.49 + y = 4.25
y = 4.25 - 1.49
y = 2.76 yards
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
3m - 3(m + 8) > 3m
A) m 8
C) m > -8
D) m < -8
lp assap
A housing policy research group reported that the proportion of homeowners in the U.S. who struggle to make monthly mortgage payments is 0.29, or 29%. A real estate company is interested in examining this claim in a particular state that has experienced recent economic hardships Refer to the information above regarding the survey of homeowners with mortgages. The survey found that in a sample of 451 randomly selected homeowners, 183 reported having difficulty paying their mortgages each month. If a hypothesis test were to be conducted to determine if the problem is worse in this particular state, which of the following would be the correct value of the test statistic? Choose the closest value, taking all calculations to four decimal places.
a) 5.42
b) 0.45
c) 0.36
d) 18.99
e) 0.26
Answer:
The option is A
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.29[/tex]
The sample size is n = 451
The number that was having difficulty is k = 183
Generally the sample proportion is mathematically represented as
[tex]\^ {p} = \frac{k}{n}[/tex]
=> [tex]\^ {p} = \frac{183}{451}[/tex]
=> [tex]\^ {p} = 0.4058[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{ \^ {p} - p }{ \sqrt{\frac{p (1-p)}{n} } }[/tex]
=> [tex]t = \frac{0.4058 - 0.29 }{ \sqrt{\frac{0.29 (1-0.29)}{451} } }[/tex]
=> [tex]t = 5.42 [/tex]
joaquin has been working on homework for 3 1/2 hours. if each assignment takes him 1/4 of an hour, how many assignments has he completed?
Convert 3 1/2 to a improper fraction:
3 1/2 = 7/2
Divide 7/2 by 1/4:
7/2 ÷ 1/4
7/2 × 4/1
28 / 2
= 14
Joaquin has finished 14 assignments
Answer:
14
Step-by-step explanation:
FIRST RIGHT GETS BRAINLIEST
PLEASE HELP!! Which equations represent a proportional relationship? If yes, give the constant of Proportionality.
Answer:
The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX.
Step-by-step explanation:
The owner of Sandy’s Boat House advertises the cost to rent a canoe is $15 per hour for trips on the Red Cedar River. He is also willing to adjust the $15 per hour if a customer rents for only a part of an hour.
The manager suggests another deal for customers. She uses the equation cmanager = 0.15t + 2.50 to find the charge c in dollars for renting a canoe for t minutes.
Which option would you choose, the manager’s equation or the owner’s cost of $15 per hour? Explain.
Answer:
1 dollar
Step-by-step explanation:
If he charges 15 dollars an hour for a canoe, that means that if she rents for 0.15 hours she pays 1 dollar. Hope this helps :)
I need help it wouldn’t let me put the song I wanted but whatever
Answer:
[tex]this \: proberbility \: is \: p(history)[/tex]
Graph the line of the slope of 1/4 and includes the point (0,2)
Answer:
I'm on Edulastic.com taking a 100 Q test and this question is on it!
Step-by-step explanation:
Imao im fgging confused
The graph of the required line [tex]\bold{y=\frac{x}{4}+2}[/tex] is given below.
Slope point form of equation of line: -An equation of line with slope m and passing through point (p, q) is:
(y - q) = m × (x - p)
We have been given the slope of the line m = 1/4,
and a point (p, q) = (0, 2)
Using the slope-point form equation of line would be,
⇒ (y - 2) = 1/4 × (x - 0)
⇒ (y - 2) = 1/4(x)
⇒ y = x/4 + 2 ...............................(1)
So, the equation of the line is [tex]y=\frac{x}{4} +2[/tex].
To plot the line we need at least two coordinate points.
We have been given a point (0, 2).
We need to find another point.
Substitute x = -4 in equation (1),
⇒ y = (-4)/4 + 2
⇒ y = -1 + 2
⇒ y = 1
So, another point on the line would be (-4, 1).
Now, we plot points (0, 2) and (-4, 1) on coordinates plane.
Then the graph of the line [tex]\bold{y=\frac{x}{4}+2 }[/tex] is as shown in figure.
Learn more about the graph of a line here:
https://brainly.com/question/23680294
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Misha’s hamster weighed 0.845 kilograms. About how much does it weigh, rounded to the nearest hundredth?
1 0.84 kilograms
2 0.8 kilograms
3 0.85 kilograms
4 1 kilograms
Answer:
0.85 kilograms
Step-by-step explanation:
The nearest hundredth can be defined as a place value used when rounding up numbers after the decimal.
The nearest hundredth can also mean rounding up to 2 decimal places.
We are asked to round up 0.845 to the nearest hundredth
The nearest hundredth is the second number after the decimal = 4
The third number after the decimal = 5, hence we add 1 to 4 , making it 5.
Hence:
0.845 kilograms to the nearest hundredth = 0.85 kilograms
456x5 is what I can’t figure this out please help!!
Answer:
2280
Step-by-step explanation:
Multiply 5 times 2325 it ain't that hard g just use google lol
A phone company charges a base fee of $12 per month plus an additional charge per minute. The monthly phone cost LaTeX: CC can be represented by this equation: LaTeX: C=12+a\cdot mC = 12 + a ⋅ m , where LaTeX: aa is the additional charge per minute, and LaTeX: mm is the number of minutes used. Which equation can be used to find the number of minutes a customer used if we know LaTeX: CC and LaTeX: aa?
Answer: M=(c-12)-a
Step-by-step explanation:
this is because your trying to find m and 12a doesn't represent that.
Help math hv 30 minutes
Answer:
8 milk cartons and 4 dollars
Answer:
It's 8 milk cartons and 4 dollars/Price
How can you write the expression 7b-2) in words?
Answer:
D :)
Step-by-step explanation:
Answer:
The answer is d
find the measure of angle L this is the last question mark brainest ty so much xx
Answer:
∠L = 50°
Step-by-step explanation:
∠R = 109°
∠U is supplementary to ∠R
This means ∠R + ∠U = 180°
109° + ∠U = 180°
Subtract ∠R from 180° to get ∠U
∠U = 81°
A triangle's angles must add up to 180, so if we take ∠U + ∠E, we figure out what 2 of the 3 angles add up to, we can then subtract this sum from 180 to figure out ∠L
81° (This is ∠U) + 49° (This is ∠E) = 130°
180° (Sum of all of a triangle's angles) - 130° (Sum of ∠U and ∠E) = 50° (∠L)
Answer:
∠L = 60°Step-by-step explanation:
see attached image.
add all internal angles and equal to 180
∠U + ∠L + ∠E = 180
∠U = 180 - 109
= 71
plug in values from equation:
∠U + ∠L + ∠E = 180
71 + ∠L + 49 = 180
∠L = 180 - 49 - 71
∠L = 60
PLEASE HELP!!! I DON’T KNOW THISSS
Jenny has only 3 1/2 cups of flour in her house. She needs 1 5/8 cups for a brownie recipe. Her sister Jody needs 1 3/4 cup flour for her cookie recipe. Will there be enough flour for both recipes?
Answer:
yes, she will still have 1/8 of a cup left
Step-by-step explanation:
you have to convert all the fractions to have the same denominator.
to do that you need improper fractions
3 1/2= 7/2
1 5/8= 13/8
1 3/4= 7/4
with this information, you need to find a common number between 2, 8, and 4. the largest number that they all fit into is 8.
so 7/2 becomes 28/8
13/8 stays the same
and 7/4 becomes 14/8
add 13/8 and 14/8 and subtract from 28/8
you get 1/8, which means you have enough flower for both recipes!
Answer:
[tex]YES.[/tex]
Step-by-step explanation:
[tex]if \: 1 \frac{5}{8} + 1 \frac{3}{4} = 3.375 \\ and \\ 3 \frac{1}{2} = \: 3.5 \\ then \: 3.5 > 3.375[/tex]
2k=18. find the value of k
Answer:
Step-by-step explanation:
18 divided by 2 would be 9 so k=9
Melanie placed 5 packs of fruit squishes in a picnic basket. Find the
weight (in ounces) of all the packs, if each pack weighs 15.75 ounces
Answer:
Your answer is 78.75 oz.
Step-by-step explanation:
15.75 * 5 = 78.5 oz.
Hope this helps.
Answer:
78.75 oz
Step-by-step explanation:
okay I'm not sure, but I think the question is each pack weighs 15.75 how many does it weigh in all like all 5 packs if so all you have to do is do multiplication 15.75 and 5 (15.75 to represent what each pack weigh) ( and 5 to represent each pack) to get the answer of 78.75 in total.
hope i helped
Students in grades 7 and 8 were asked which food they liked the best. The results are shown in the table. What percentage of all students prefer hotdog
Answer:
Where's the table?
Step-by-step explanation:
Answer:
55%
Step-by-step explanation:
Urgently need help please
Answer:
Most likely D
Step-by-step explanation:
common knowledge
Look at the situation below. Which equation determines how far they travel in feet (F) per second (S)? Mary walks her dog every morning before school. They travel 4 feet per second.
Answer:
Feet / per second
4 feet/per second
Step-by-step explanation:
In the given picture, y/x =4 and z/x =3. Find x.
Answer:
Step-by-step explanation:
x=22.5 degrees
[tex]\frac{y}{x} =4[/tex]
[tex]\frac{z}{x} =3[/tex]
[tex]y = 4x[/tex]
[tex]z=3x[/tex]
[tex]x +3x+4x=180[/tex]
[tex]8x=180[/tex]
[tex]\frac{8x}{8} =\frac{180}{8}[/tex]
[tex]x=22.5[/tex]
I mark as brainliest
Answer:
-2, 0
I think I haven’t done this in 3 years lol
Answer:
-2,0
Step-by-step explanation:
X is -2 and Y is 0.
So X,Y = -2,0.
Can you help me i will give you a branlist please
Item 16
Determine whether there is a proportional relationship between your cousin's age, in years, and your age, in years.
yes
no
Answer:
yes, i think, hope i helped ^_^ there has to b a proportional relationship between them
Step-by-step explanation:
Answer:
i think its yes not to sure sorry
Step-by-step explanation:
A fuel company supplies fuel in two different-sized tankers. The first tanker can supply x cubic feet of fuel in one trip and the second tanker can
cubic feet of fuel in one trip. The first tanker makes M trips daily and the second taker makes n trips daily. What does
Mx +Ny represent in expression
Mx +NY,
M+N
total fuel, in cubic feet, supplied by the two tankers in one trip
total fuel, in cubic feet, supplied by the two tankers in one day
o
total fuel, in cubic feet, supplied by the two tankers in one week
total fuel, in cubic feet, supplied by the two tankers in one month
Answer:
A. Total fuel, in cubic feet, supplied by the two tankers in one trip.
Step-by-step explanation:
First option: A. Total fuel, in cubic feet, supplied by the two tankers in one trip.
89.95 DVD player; 5% discount
Answer:
The answer is $85.45 after the 5% discount
If you multiply a matrix and its inverse together, you will always get the identity
matrix.
True
False
Answer:
True
Step-by-step explanation:
If you multiply a matrix (such as A) and its inverse (in this case, A–1), you get the identity matrix I. And the point of the identity matrix is that IX = X for any matrix X (meaning "any matrix of the correct size", of course).
Answer:
Yes
Step-by-step explanation: And 1 is the identity, so called because 1x = x for any number x. It works the same way for matrices. If you multiply a matrix (such as A) and its inverse (in this case, A–1), you get the identity matrix I.
t a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season when about 500 vines are planted per acre. For each additional vine that is planted, the production of each vine decreases by about 1 percent. So the number of pounds of grapes produced per acre is modeled by
A(n) = (500 + n)(10 − 0.01n)
where n is the number of additional vines planted. Find the number of vines that should be planted to maximize grape production.
Answer: Grape production is maximized for 150 vines planted
Step-by-step explanation:
Write the answer to the following calculations in standard form.
10 to the power of 8 – 7 • 10 to the power of 6
Leo has $28 to spend on pencils and paper for a school. Pencils cost $0.50 each and paper cost $1.50 each. Using x for pencils, and y for paper, write an inequality that represents what Leo can buy.
Answer:
Please mark Brainliest if helpful...
0.5x+1.5y[tex]\leq[/tex]28
Step-by-step explanation:
X is the number of pencils, so multiply the price of one pencil by the number of them to get the total price of pencils-0.5xY is the number of paper, so multiply the price of one paper by the number of them to get the total price of paper-1.5yLeo has $28, so he can either spend $28 or less on pencil and paper, which means that his total cost should be less than or equal to 28