Answer:
x= -21
Step-by-step explanation:
6/7x=-18
divide both sides by 6/7
------------
x= -21
------------
Answer:
Standard form: x = -1/21 Decimal form: x = -0.047619
Step-by-step explanation:
The sum of the squares of two numbers is 50. The product of the two numbers is 25. Find the numbers.
Answer:
5 and 5
Step-by-step explanation:
Since your shape is a square, ALL SIDES HAVE TO BE EQUAL. So 5x5 equals 25.
If the sum of the squares of two numbers is 50 and the product of the two numbers is 25, then the two numbers are 5 and -5.
Let's assume the two unknown numbers are "x" and "y". We are given two conditions:
The sum of the squares of the two numbers is 50:
This can be represented as an equation: x² + y² = 50.
The product of the two numbers is 25:
This can be represented as another equation: x * y = 25.
Now, we have a system of two equations with two variables (x and y). We can solve this system of equations to find the values of x and y. Let's use the substitution method to do this.
Step 1: Solve one equation for one variable in terms of the other variable.
From the equation x * y = 25, we can solve for y in terms of x:
y = 25 / x.
Step 2: Substitute the value of y in terms of x into the other equation.
Replace y in the equation x² + y² = 50 with 25 / x:
x² + (25 / x)² = 50.
Step 3: Simplify and solve the equation for x.
x² + 625 / x² = 50.
To eliminate the fraction, multiply both sides by x²:
x⁴ + 625 = 50 * x².
Rearrange the equation to bring all terms to one side:
x⁴ - 50 * x² + 625 = 0.
Step 4: Solve the quadratic equation for x.
This is a quadratic equation in terms of x². Let's substitute a new variable to simplify the equation. Let u = x². Now the equation becomes:
u² - 50 * u + 625 = 0.
This quadratic equation can be factored as:
(u - 25)² = 0.
Solving for u:
u = 25.
Step 5: Find the values of x and y.
Now that we know u = x² = 25, we can solve for x and y:
x² = 25,
x = ±√25,
x = ±5.
And since x * y = 25, when x = 5, y = 25 / 5 = 5.
When x = -5, y = 25 / -5 = -5.
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x = -19 + 19 what is the value of the expression
Answer:
The answer is 0
Step-by-step explanation: The question can be rewritten to 19-19 so the answer would be 0
Answer:
here
x = -19 + 19
= 0
the value of x is 0.
Step-by-step explanation:
The left and right page numbers of an open book are two consecutive integers whose sum is 295. Find these page numbers.
The two page numbers are IN
(Use a comma to separate answers as needed.)
Answer:
147, 148
Step-by-step explanation:
295/2=147 remainder 1 so, consecutive means back to back so 147 and 148. Add them up and you get 295.
Final answer:
The consecutive page numbers with a sum of 295 are 147 and 148, with 147 being the left page and 148 being the right page.
Explanation:
To find the consecutive page numbers of an open book with their sum equal to 295, we can set up a simple equation. Let the smaller integer be n, which means the next consecutive integer (the other page number) would be n+1. Since their sum is known to be 295, we set up the equation as n + (n + 1) = 295.
Solving for n gives us:
n + n + 1 = 295
2n + 1 = 295
2n = 294
n = 147
Therefore, the two consecutive integers are 147 and 148. The left page number is 147 and the right page number is 148.
Hailey wants to buy a new pair of Vans. She found them on-line for $70. If the site is offering 20% off how much are the new Vans?
Answer:
$56
Step-by-step explanation:
Answer:
56 dollars
Step-by-step explanation:
20% is 14 dollars so 70 (the original price) minus 14 is 56
Colleen Buys a movie for $20 pay you 7% sales tax. Her cousin brad lives in another state brad by the same movie for $22 and a pays 6% recent sales tax. who pays more sales tax? How much more?
Answer:
Colleen pays more. 7% of 20 is 1,40
Brad Pays less as 6% of 22 is 1.32
so a .08 difference
Step-by-step explanation:
Answer:
Colleen pays 8 cents more in taxes than Brad
Step-by-step explanation:
Consider that ΔDEF is similar to ΔGHI and the measure of ∠E is 58°. What is the measure of ∠H?
Answer:
58 degrees
Step-by-step explanation:
If figures are similar to each other, it means that they have the same measures. Therefore, D has the same measure as G, E has the same measure as H, and F has the same measure as I.
there are 10 students in a class 7 boys and 3 girls , what is the probability that everyone in the group is a boy
How can I identify the shaded part of 100 grid as a fraction and a decimal?
To identify the shaded part of a 100 grid as a fraction, count the shaded squares; each represents 1%, making the denominator 100. The fraction formed can be simplified if possible, and converting it to a decimal involves dividing the numerator by the denominator.
To identify the shaded part of a 100 grid as a fraction and a decimal, you must first count the number of shaded squares. Since each square represents 1% of the total grid, the number of shaded squares can be directly written as a percent. For example, if 45 squares are shaded, the shaded part would represent 45%.
As a fraction, this is equal to 45/100, because the denominator should be 100 in order to represent a percent as a fraction.
To convert this fraction to a decimal, divide the numerator by the denominator which gives 0.45. If you have shaded half the grid, it means 50 squares are shaded out of 100. The fraction would therefore be 50/100, which simplifies to 1/2, and the decimal would be 0.50.
write the quadratic equation y=x to the power of 2 -6x+7
Answer:
y = x^2 -6x +7
Step-by-step explanation:
You have already written it. All you need to do is use the appropriate symbol for "to the power of". That symbol is the caret (^).
y = x^2 -6x +7
Three numbers that add up to 30
Answer:
1+2+27=30
3+6+21=30
20+3+7=30
So many more, but here are a few.
To find three numbers that add up to 30, you can choose different combinations. For example, you could use 10, 10, and 10 or figures like 15, 10, and 5. The specific numbers can vary based on the criteria involved.
Explanation:When dealing with numbers that add up to a specific value, there are many possible combinations depending on the criteria you use. For example, if you wish to find three different positive numbers that add up to 30, you could choose 10, 10, and 10. This is because each number is significant and can be repeated in this scenario. These would add up to 30, as 10+10+10 equals 30.
Alternatively, you could choose a variety of numbers such as 15, 10, and 5, which also add to 30. Here the expression is set up as 15 + 10 + 5. Another option could be three unit conversion factors like 12, 8, and 10. The method of finding three numbers that add up to a certain sum is an extension of practical problem-solving often used in daily life.
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What is the answer to this question ?
Answer:
- 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x - [tex]\frac{40}{17}[/tex] ← is in slope- intercept form
with slope m = - 1
Parallel lines have equal slopes
Thus the slope of line d is - 1
I need the area of that rectangle
Answer:
21/40mm squared
Step-by-step explanation:
to find area you have to multiply length * width
7/8 * 3/5 = 21/40
Decimal form: 0.525
Answer: 21/40
Step-by-step explanation: 7/8*3/5=21/40
Write 0.46 as a fraction simplest form
Answer:
23/50
Step-by-step explanation:
.46
There are 2 numbers after the decimal so we put it over 1 plus 2 zero's
46/100
Divide the top and bottom by 2
46/2 = 23
100/2 = 50
23/50
This is simplest form since 23 is prime and it does not go into 50 evenly
Which type of transformation is shown in the graph below?
Please help
A.
dilation
B.
reflection
C.
rotation
D.
translation
Answer:
c
Step-by-step explanation:
c
To find the value of x, do you divide or multiply?? cause this is confusing
Answer:
divide
Step-by-step explanation:
you know the angle across the green one is 32 too so they together equal 64 and 360 - 64 is 296 so with 296 split between two angles you do 296 / 2 which equals 148
2
Which statement explains why 49 is a perfect square?
O
49 can be multiplied by 49.
49 is equal to 7 plus 7
49 is between 36 and 64.
49 is equal to 7 times 7
O
Answer:
49 is equal to 7 times 7
Step-by-step explanation:
For number 2 I know the answer but I just need work so if you could please explain the work I’d be thankful
Answer:
Step-by-step explanation: when you take 521 and divide it by 4 you get 130.25, which is about 130, making you choose answer choice B. (lol i like your profile picture too!!)
Ms. Roth has made 200 headbands and is deciding what price to charge for them.
She knows that she will sell more if the price is lower. To estimate the number she can
expect to sell, she uses the function N defined as N(p) = 200 – 1.5p, where p is
the price in dollars.
Which choice describes a function, S(p), that models the total sales in dollars she can
expect?
Answer:
I THINK:
There will be 8 grams left after 36 minutes.
Step-by-step explanation:
A half-life is how long it takes for half of the amount to go away. in this case, we see that we have two half-life periods worth, which you can determine by dividing the total time by the half-life time.
36mins/16mins = 2 half lives.
now we can raise 1/2 to the power of how many half lives we have (2). then we multiply that by the amount in the sample.
(1/2)^2 * 36
1/4 * 36
8 grams
During halftime of a basketball game, a sling shot launches T-shirts at the crowd. A T-shirt is launched with an initial upward velocity of 78 feet per second. The hight of the t-shirt (h) in feet after t seconds is given by the function h=-16t^2+78t+5. How long will it take the T-shirt to reach its maximum height? What is the maximum height? What is its maximum height?
Lance is building a rectangular fence for his chickens. He wants the length to be three times the width and he has 80 feet of fencing. What is the largest possible length? Write an equation and solve.
A) 8w=80; 10
B) 4w=80; 20
C) 8w=80; 30
D) 4w=80; 15
Answer:
C) 8w = 80;30
This is because it is a rectangle and 30ft +30ft =60ft length.
The question asks to make the fence as large as possible fencing overall is same ratio as D but more for length.
The new equation could be for total width both sides;
9^2 -1w = 5
81-1w = 5
w = 80/5
w = 16ft
Final answer:
To calculate the largest possible length for Lance's chicken fence, set up the perimeter equation with length as three times the width. The equation simplifies to 8w=80, and solving for w gives a width of 10 feet, making the largest possible length 30 feet. The correct answer is option C.
Explanation:
Lance is building a rectangular fence for his chickens, and he wants the longer side, the length, to be three times the shorter side, the width. The total amount of fencing he has is 80 feet. To find the largest possible length, we need to set up an equation.
Let the width be w. Then, the length will be 3w. The perimeter of a rectangle is calculated by the formula P = 2l + 2w, where P is the perimeter, and l and w are the length and width, respectively. Since he has 80 feet of fencing, the equation is:
2(3w) + 2w = 80
Simplify the equation:
6w + 2w = 80
8w = 80
To find the value of w, divide both sides of the equation by 8:
w = 80 / 8
w = 10
Now that we have the width, let's find the largest possible length:
Length = 3w = 3(10) = 30
Therefore, the largest possible length is 30 feet. The correct choice is C) 8w=80; 30.
show steps to rewrite 3x6/8 as the product of a unit fraction and a whole number
Answer:
The answer that is responded to this one is what you should get
Step-by-step explanation:
Social distancing guidelines state that we must stay a minimum of 6ft away from each other. How many circles with a 3ft radius could fill a 100 square foot (10ft x 10ft) space without overlap?
*Tip*
Area of a Circle = π r where r=radius
Given:
The radius of each small circle = 3 ft
The area of the given space = 100 ft
To find the number of circles could fill the space of 100 ft.
Formula
The area of a circle is
[tex]A = \pi r^{2}[/tex], where r be the radius of the circle.
Now,
Putting, r = 3 and π = 3.14 we get,
[tex]A = (3.14)(3^{2} )[/tex] sq ft
or, [tex]A = 28.26[/tex] sq ft
So, the area of each circle is 28.26 sq ft
Now,
Number of circles that could fill into the given space = 100÷28.26
= 3.53≈3
Hence,
3 circles with radius 3 ft could fill a 100 sq ft space without overlap.
for a different punch recipe, the equation,s=4c represents the number of cups of seltzer,s, that you need for,c, cups of cranberry juice. what is the constant of proportionality?
Answer:
4
Step-by-step explanation:
If two variables are proportional then
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
where, k is constant of proportionality.
The given equation is
[tex]s=4c[/tex] ...(ii)
where,
s = number of cups of seltzer.
c = cups of cranberry juice.
On comparing (i) and (ii), we get
Independent variable: [tex]x=c[/tex]
Dependent variable: [tex]y=s[/tex]
Constant of proportionality: [tex]k=4[/tex]
Therefore, the constant of proportionality is 4.
3x + y = 11 If you are given that y = x - 1, find the value of x
Answer:
x = 3 and y = 2
Step-by-step explanation:
I graphed both equations on the graph below.
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the library labels each book with a five-digit code to identify the books in their computer system. each code is 3 digits (0-9) followed by two letters. how many codes are possible?
Answer:
676000
Step-by-step explanation
3 digits of the 5-digit code are number 0-9 which is 10 numbers that could go into that spot, after the three digits there are two letters and because there are 26 letters in the alphabet you would multiply 10*10*10*26*26 which equals 676000
There are 676,000 possible codes.
What is Combination?An arrangement of objects where the order in which the objects are selected does not matter.
Given that library labels each book with a five-digit code to identify the books in their computer system.
Each code is 3 digits (0-9) followed by two letters
We need to find the possible number of codes.
There are 10 possible digits (0-9) for each of the first three positions, and 26 possible letters (A-Z) for each of the last two positions. Therefore, the total number of possible codes is:
10 x 10 x 10 x 26 x 26 = 676,000
Hence, there are 676,000 possible codes.
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Assume that 2 cards are drawn from a standard 52-card deck. Find the following probabilities.
a) Assume the cards are drawn without replacement. Find the probability of drawing 2 tens.
b) Assume the cards are drawn with replacement. Find the probability of drawing 2 tens.
a. The probability of drawing 2 tens without replacement is
(Simplify your answer.)
b. The probability of drawing 2 tens with replacement is
(Simplify your answer.)
Answer:
Step-by-step explanation:
WITHOUT replacement of first card drawn:
P(a 10 is drawn) = 13/52 = 1/4
P(the next draw is a 10) = 12/52 = 3/13
P(drawing two 10s without replacement of the first draw) = (1/4)(3/13) = 3/52
WITH replacement of first card:
P(two 10s are drawn) = P(first card is a 10)*P(first card is a 10) = (4/13)(4/13) =
16/169
solve the proportional equation
5/12 = x/15
Answer: 6.25.
Step-by-step explanation:
Let's put your question into a proper proportional form, because it is a ratio that is equal.
[tex]\frac{5}{12} = \frac{x}{15}[/tex]
To solve proportions, you have to cross-multiply in the direction that has numbers, which is 5 and 15, then divide to 12.
[tex]5 * 15 / 12 = 6.25[/tex]
The answer you should get by doing this is 6.25.
Answer:
x=6.25
Step-by-step explanation:
Cross multiply
5/12=x/15
12*x=15*5
12x=75
Divide both sides by 12 to isolate the variable x
x=6.25
Or, multiply both sides by 15 to "reverse" the division being done to x
5/12=x/15
15*5/12=x/15*15
6.25=x
the original plan for mr Harris's house is a rectangle that measures 40ft by 50ft. because of the increase and cost of materials, the square footage is reduced to 1739ft squared. how much will the dimensions be decreased?
Answer: The dimesions will be decreased by 13.05%.
Step-by-step explanation:
Hi, we have to calculate the original area.
Area of a rectangle = Length x width
Replacing with the values given:
A = 40x50 = 2000 ft2
Since is reduced to 1739. if we multiply the original area by a the percentage decrease, and subtract that value to the original area, we obtain 1739 ft2.
2000 - (2000x) = 1739
Solving for x
-2000x = 1739 -2000
-2000x = -261
x =-261/-2000
x = 0.1305
Multiply by 1000 to obtain the percentage:
0.1305 x 100 = 13.05%
Hal and Sal work on a base wage plus
commission. Hat makes $150 per week
plus a 40% commission on total sales.
Sai makes $175 når week plus a 35%
commission on total sales. What
amount of sales will each need to make
their pay equal? What will be their
gross pay?
Answer:
$446
Step-by-step explanation:
$150
10% = 15
40% = 60
$210
$175
10% = 17.5
30% = 52.5
5%=8.25
$236
add it all up
$446
Hal and Sal need to make $500 in sales to have their pay equal. Their gross pay will be $350 each.
Explanation:To find the amount of sales that Hal and Sal need to make their pay equal, we can set up an equation.
Let's say the amount of sales that Hal needs to make is x.
Hal's base wage is $150 per week, and he also earns a 40% commission on total sales. So his total pay can be expressed as:
Total Pay = Base Wage + Commission
Total Pay = $150 + (40% * x)
Similarly, Sal's total pay can be expressed as:
Total Pay = $175 + (35% * x)
To find the amount of sales that makes their pay equal, we can set these two equations equal to each other:
$150 + (40% * x) = $175 + (35% * x)
Now we can solve for x:
$150 + 0.4x = $175 + 0.35x
0.4x - 0.35x = $175 - $150
0.05x = $25
x = $25 / 0.05
x = $500
So, to make their pay equal, Hal and Sal both need to make $500 in sales.
To find their gross pay, we can substitute the value of x into the equations for their total pay:
Hal's Gross Pay = $150 + (40% * $500) = $150 + $200 = $350
Sal's Gross Pay = $175 + (35% * $500) = $175 + $175 = $350
help me guys 64−(3y+8y+y)÷40=37
Answer: -118
Step-by-step explanation:
first multiply by 40. 37x 40 is 1480. No subtract 64 from both sides (1416). Multiply both sides by negative one to make the parentheses positive. -(1416)
on the inside that would be 12y so divide -1416 by 12 which is -118
I hope that's right!! :)
NOTE it isn't -118 sorry!!! I didn't see that in the original post