Answer:
[tex]\left \{ {{6x+4y=76} \atop {x+y=16}} \right.[/tex]
Step-by-step explanation:
1) if (according to the condition) the amount of quilting is 'x' and the amount of sateen is 'y', then the price of the quilting fabric is 6*x and the price of then sateen fabric is 4*y;
2) the 76$ she spends can be written as 6x+4y=76;
3) total of 16 yards can be written as x+y=16;
4) finally, the required system is:
[tex]\left \{ {{6x+4y=76} \atop {x+y=16}} \right.[/tex]
A system of equations is a collection of two or more equations with a same set of unknowns. 4x+6y=76, x+y=16 are required system of equations.
What is system of Equations?A system of equations is a collection of two or more equations with a same set of unknowns.
According to the condition the amount of quilting is 'x' and the amount of sateen is 'y', then the price of the quilting fabric is 4x and the price of then sateen fabric is 6y;
the 76$ she spends can be written as 4x+6y=76;
Total of 16 yards can be written as x+y=16;
So the required system of Equations is:
4x+6y=76
x+y=16
Hence Option C is correct. 4x+6y=76, x+y=16.
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Lisa flipped a coin 50 times and got a head 20 times. What was the experimental probability of flipping a heads? what is the theoretical probability of flipping a heads?
Answer:
2/5 (or 0.4)
Step-by-step explanation:
There was 50 flips, that's the total. #/50
Head was 20 times, that's the answer we're looking for. 20/50
20/50 Simplified is 2/5 (or 0.4)
A sprinter in a 100 dash accelerates uniformly from rest reaching a top speed of 14.7 m/s after 6.00 seconds. He then runs at constant speed for the remainder of the race.
B. How far did he travel in the first phase of the race?
I assume "first phase" refers to the first 6.00 seconds of the dash.
Since the sprinter starts from rest and accelerates uniformly, he covers a distance x after time t of
x = 1/2 at²
where a is his acceleration.
The sprinter's velocity v after time t is
v = at
so that if he attains a speed of 14.7 m/s after 6.00 s, he does so with acceleration a such that
14.7 m/s = a (6.00 s) ⇒ a = 2.45 m/s²
Then in the first 6.00 seconds, the sprinter travels
x = 1/2 (2.45 m/s²) (6.00 s)² = 44.1 m
Colletta decides to do a savings plan where she doubles the amount of money each day. Starting on day 1 she saves $1, on day 2 she saves $2, on day 3 she saves $4, on day 4 she saves $8 and so on.
a. Is the money saved a function of the number of days? Explain your reasoning.
b. Is the relationship linear? Explain your reasoning.
100 POINTS TO ANYONE WHO CAN ANSWER IT CORRECT
Answer:
a. yes the money is a function the function is x = days
2^(x-1)
b. no its not it will go up by more and more every day a linear equation would mean it goes up by the same amount each day which it does not
Hope This Helps!!!
Factor 27b–12.
Its ixl for 7th grade
Lesson name Factor of linear expressions letter r
What is the distance between the points (-2.5,6.5) and (2.5,6.5)
Answer:
5 units
Step-by-step explanation:
The two points have the same y-coordinate so are on a horizontal line. The distance between them is the difference of their x-coordinates:
2.5 -(-2.5) = 2.5 +2.5 = 5.0
The distance between the points is 5 units.
How do I solve 6x-15+53=11x-12?
A scale model of a buliding is 24 inches tall. The actual building is 180 feet tall. What is the scale factor of the model?
Answer:
1 inch = 7.5 feet.
Step-by-step explanation:
24 divided by 24 equals 1. 180 divided by 24 equals 7.5
another real estate agent sold a house for $315,000 last week if her commission is 1.25% of the selling price of the home find the amount of her commission. Please explain
Answer:
$ 3937.5
Step-by-step explanation:
First, we convert 1.25% into a decimal.
That would be .0125.
Now we multiply the decimal with the whole number to find our answer.
315000 × .0125 = 3937.5
Therefore, 3937.5 would be the amount of her commission.
-kiniwih426
Make x the subject !!!!!! Please
Answer:
x = [tex]\frac{1-by}{y-a}[/tex]
Step-by-step explanation:
y = [tex]\frac{ax+1}{x+b}[/tex] ← multiply both sides by (x + b)
y(x + b) = ax + 1 ← distribute parenthesis on left side by y
yx + by = ax + 1 ( subtract ax from both sides )
yx - ax + by = 1 ( subtract by from both sides )
yx - ax = 1 - by ( factor x out of each term on the left side )
x(y - a) = 1 - by ← divide both sides by (y - a)
x = [tex]\frac{1-by}{y-a}[/tex]
Answer:
Step-by-step explanation:
1. Eliminate fractions by multiplying both sides of this equation by x + b:
y(x + b) = ax + 1
2. Perform the indicated multiplication: xy + yb = ax + 1
3. Group together the x-terms xy - ax = 1 - yb, or x(y - a) = 1 - yb
1 - yb
4. Divide both sides by (y - a): x = ----------------
y - a
Help me please I need help
Answer:
Step-by-step explanation: you need to dived by3000
HELP ME FAST I ONLY HAVE 5 MINS LEFT Wanda created the poster shown below:
A rectangle is shown. The length of the rectangle is labeled as length equal to 32 cm, and the width is labeled as width equal to 36 cm.
What would be the dimensions of the poster at fraction 1 over 4 times its current size? (5 points)
Length = 28 cm, width = 32 cm
Length = 128 cm, width = 144 cm
Length = 8 cm, width = 9 cm
Length = 36 cm, width = 40 cm
Answer:
the correct answer is 8:9 or C.
Plz help
due today at 12:30pm
Answer:
Step-by-step explanation:
4 plus 8 is 12 plus 5 is 17. then add the months 5 plus 6 is 11 plus 8 is 19, 19 is one year and 7 months so the answer is 18 years old and 7 months.
Answer: 18 years and 7 months
Step-by-step explanation:5+8+4= 17 and 8+6+5= 19
17 years and 19 months aka 18 and 7 months
which expression represents the expression 20x-10 after it has been factored completely? SHOW ME WHAT YOU DID
A. 2(10x-5)
B. 2(2x-1)
C.10(20x-10)
D. 10(2x-1)
Answer:
it is A and D
Step-by-step explanation:
A. 2 * 10x is equal to 20x
and then 2 * 5 is equal to 10
so the answer is 20x-10
D. 10 *2x is equal to 20x
and then 10 * -1 is equal to -10
so the answer is 20x-10
im so confused......... :/
Answer:
1/14
Step-by-step explanation:
1/7 x 1/2 there are two parts to the rectangle and one is colored so its one half.
1/7x1/2 is multiply the tops and bottoms so you get1x1 over7x2 which equals 1/14
A roll of ribbon was 12 meters long. Diego cut 9 pieces of ribbon that were 0.4 meters each to tie some presents. He then used the remaining ribbon to make some wreaths. Each wreath required 0.6 meter
Answer:
I dont understand what the question is but
diego used 3.6 meters for the presents
and was able to make 14 wreaths
Step-by-step explanation:
9 x .4 = 3.6
12-3.6=8.4
8.4/.6=14
Date
Selling Cars
Solving One-Step Equations
The Media Store runs a promotion in July to increase summer business. They take $2 off of
every DVD in the store. Complete the table below.
Sale Price
Regular Price
$17
Movie
Speed XXIV
The Furious and the Fast
Planet Wars
Saturday the Fourteenth XIII
$12
$19
$6
1. How did you find the sale price, given the regular price? Use a complete sentence to
explain your answer.
2. Write an expression to represent the sale price, given the regular price.
Use any method to solve each equation.
3. X + 33 = 97
4. 7 + x = 24
Answer:Computer Store sells DVDs for a day = 110
No. of days the store works = 266
No. of DVDs saled in 266 days = 266 days x 110DVDs
= 29,260 DVDs
Step-by-step explanation:
help me pls and tell me every step( I will give crown)
Answer:
42
Step-by-step explanation:
fir a 100% is missing 40
divide 28 by 4 and then multiply by 6
Answer:
42 students
40%
72 (end of number line)
Explanation:
How to find the percentage for the 28 students:
100% - 60% = 40%
Knowing that, we now know 28 = 40%. We need to figure out what 10% is equal so we can figure out what 60% is equal.
How to find 10%:
28 ÷ 4 = 7
10% = 7 students
How to find 60% of students:
10 · 6 = 60
7 · 6 = 42
With that information, we can find out the final sum.
40% + 60% = 100%
28 + 42 = 72.
not sure if anyone can see this but can someone give me the answers i am super confussed and my teacher wont help me at all!
Okay so, to solve these problems what you're gonna want to do is substitute the given x and y values into the equation.
For example, number 7.
11(d-c) + 3(c+d), when c=6, d=9
if d=9, you will substitute the d in the problem to 9.
11(9-c) + 3(c+9)
if c=6 you will substitute c for 6.
11(9-6) + 3(6+9)
You can solve now that you have a simpler problem to work with.
11(9-6) + 3(6+9) first...
11(9-6) 11*9=99 11*-6=-66, so, 11(9-6)= 99-66= 33.
3(6+9) 3*6=18 3*9=27 18+27=45
33+45=78
Your answer for number 7 is 78.
Hope this helps, just do the same for the other problems like this one.
6. Graph the function f(x) = 2* - 3. 5 4 3 2+ 1 + 3 N- 1 0 1 N- 3 4 5 1 2 3 4 57
Answer:
x<1.5.
Step-by-step explanation:
hope this helped <3
The graph of function f (x) = 2ˣ - 3 is shown in figure.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ f (x) = 2ˣ - 3
Now, We get;
At x = 1;
⇒ f (x) = 2ˣ - 3
⇒ f (1) = 2 - 3 = - 1
At x = 2;
⇒ f (x) = 2ˣ - 3
⇒ f (2) = 2² - 3 = 1
Hence, The graph is passing through (1, - 1) and (2, 1).
Thus, The graph of function f (x) = 2ˣ - 3 is shown in figure.
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Write a whole number that rounds 2000 if we round it to the nearest hundred
Answer:
1,995 would round to 2,000
Step-by-step explanation:
1,995 is 5 away from 2,000 so if you were rounding to the nearest hundred 2,000 would be it
Answer this correctly please
Thank you so much^^
Step-by-step explanation:
40% of 60= 24 boys80% of 35= 28 gamesCan someone help me with this??
Answer:
negative 10 less than x
-10 < x
Ana wished to compute for the average speed of a moving bus on a straight line highway, She noted the distance covered. What other quantity should she record?
A. Acceleration
B. Direction
C. Time
D. Velocity
The other quantity needed to calculate the average speed is time.
What is average speed?
Average speed is the total distance travelled per time. It is how fast an object moves with respect to time.
Average speed = total distance / total time
For example, if the distance travelled is 100km and the total time is 10 hours, average speed is 10 km/hr (100 / 10).
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-x+2y=17 and 2x+2y=-10
Answer:
What are you asking of us? To work out the value of X and Y?
8 4/5 - 2/3 - ? = 3 1/10
Answer: 5 1/30
Step-by-step explanation:
8 + 4/5 - 2/3 - 3 - 1/10 = 5 + 1/30
the sum of the digits of a two digit number bis 14 if 36 is subracted from the number the place of the digits are reversed find the number
what is the value of x
Answer:
x=180-95-57 (sum of triangle)
or,x=28
Step-by-step explanation:
Answer:
x = 27
Step-by-step explanation:
solving similarities using equations:
→[tex]\frac{CD}{QD} = \frac{RD}{BD}[/tex]
→ [tex]\frac{x}{39} = \frac{18+x}{26+39}[/tex]
→ [tex]\frac{x}{39} = \frac{18+x}{65}[/tex]
→ 65(x) = 39(18+x)
→ 65x = 702 + 39x
→ 65x - 39x = 702
→ 26x = 702
→ x = 27
Describe how to determine f(x) and g(x) when x=5
Answer:
243 and 394
Step-by-step explanation:
f(x) is the exponential as its values increase by 3 every hour, then
when x = 5
f(5 ) = 81 × 3 = 243
---------------------------
g(x) is linear as there is a common difference between consecutive values of + 3 , then
when x = 5
g(x) = 391 + 3 = 394
There are two different packets of the same type of paper in a shop.
400 sheets
150 sheets
Small
75p
Regular
£2.08
Which of the two packets gives the better value for money?
You must show your working.
What is the answer to this the bed first answer will get five stars and the crown
Answer:
3
Step-by-step explanation:
24*2^-3
2^-3=0.125
24*0.125=3
Hope this helps!