Answer:
x=-9
x+2=-7
Step-by-step explanation:
Let
x and (x+2)= the two consecutive integers
x=smaller odd integer
x+2=larger odd integer
1/3 of the smaller integer plus the larger integer =7 more than the sum of the two numbers
1/3x+(x+2)= (x)+(x+2)+(7)
x/3+x+2=x+x+2+7
x+3/3=2x+9
3/3x=2x+9
x=2x+9
x-2x=9
-x=9
x= -9
The smaller odd integer=x= -9
The larger odd integer=(x+2)=-9+2
= -7
John couldn't recall the Serial number on his expensive bicycle. He remembered that
there were 6 different digits, none used more than once, but couldn't remember what
digits were used. He decided to write down all of the possible 6 digit numbers from 0 to 9. How many different possibilities will he have to create?
Answer:
151,200
Step-by-step explanation:
The possible set of numbers will be 151200
What is permutation?A permutation is an arrangement of objects in a definite order.
Given that, John want to find his bicycle's number, so he decided to write down all the possible 6-digit numbers from 0 to 9.
Here, we will use permutation to find the possible numbers,
Formula =
ⁿPₓ = n! / (n-x)!
Therefore,
¹⁰P₆ = 10! / (10-6)!
= 10! / 4!
= 10 × 9 × 8 × 7 × 6 × 5 = 151200
Hence, the possible set of numbers will be 151200
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Help me asap i really need this
Answer:
3
Step-by-step explanation:
6/2
I hope this is right :)
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Penelope has $1,459.75 in her bank account. To pay her bills, she writes 4 checks in the amounts of $200.25, $359.45, $125, and $299.35. Then she deposits $375 into her account. Penelope’s account balance after she pays her bills and makes the deposit is $ .
Answer:
$850.7
Step-by-step explanation:
Penelope has $1459.75 in her account.
She pays different amount that are given above.
i.e.
=1459.75-200.25-359.45-125-299.35
=475.7
Then she deposit $375
Now,
=475.7+375
=850.7
So, She has $850.7 in her account after she pays her bills and makes deposits.
Answer:
$805.7 OwO
Step-by-step explanation:
Which of the following linear equations passes through points (-1, 5) and (1, -5)? y = -5x y = 5x + 10 y = -2x + 3 None of these choices are correct.
Answer:
y = -5x
Step-by-step explanation:
Which of the following linear equations passes through points (-1, 5) and (1, -5)?
y = -5x
y = 5x + 10
y = -2x + 3
None of these choices are correct.
Solution:
First find slope of equation:
slope, m = (y2-y1) / (x2-x1) = (5-(-5) / (-1-1) = 10/(-2) = -5
Now substitute m in the point slope form to find the y-intercept b
y-y1 = m(x-x1)
y-5 = 5(x- -1)
y = -5(x+1) + 5
y = -5x
show that the straight line x+y does not intersect the curve x^2-8x+y^2-12y+6=0 if k^2-20k+8>0
A system of linear equations contains two equations with negative reciprocal slopes. Select all of the correct statements. A. The system may have no solution B. The system will have one solution C. The system will have two solutions D. The system may have infinitely many solutions
Answer:
B.
Step-by-step explanation:
"negative reciprocal slopes" means the lines are perpendicular, so they will always intersect.
Hence there will be exactly one solution.
B. The system will have one solution.
What is a negative reciprocal slope?The slopes of perpendicular strains, or bisecting strains, are continually terrible reciprocals of each other. For instance, if the slope of a line is -five, then the slope of a line perpendicular to this line will be the negative reciprocal of -five.
What is the system of two linear equations that have different slopes?If the 2 traces have exclusive slopes, then they'll intersect as soon as. consequently, the gadget of equations has exactly one answer. If the two traces have the equal slope however of kind y-intercepts, then they're parallel strains, and they'll by no means intersect.
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Find the equation of the given parabola in vertex and standard form. Describe in words all transformations that have been applied to the graph of y=x^2 to obtain the given graph of the transformed function
Answer: [tex]a)\ \text{Vertex}:y=-\dfrac{3}{2}(x+1)^2+6[/tex]
[tex]b)\ \text{Standard}:y=-\dfrac{3}{2}x^2-3x=\dfrac{9}{2}[/tex]
c) Transformations: reflection over the x-axis,
vertical stretch by a factor of 3/2,
horizontal shift 1 unit to the left,
vertical shift 6 units up
Step-by-step explanation:
Intercept form: y = a(x - p)(x - q)
Vertex form: y = a(x - h)² + k
Standard form: y = ax² + bx + c
We can see that the new vertex is (-1, 6). Use the Intercept form to find the vertical stretch: y = a(x - p)(x - q) where p, q are the intercepts.
p = -3, q = 1, (x, y) = (-1, 6)
a(-1 + 3)(-1 -1) = 6
a (2)(-2) = 6
a = -6/4
a = -3/2
a) Input a = -3/2 and vertex (h, k) = (-1, 6) into the Vertex form to get:
[tex]y=-\dfrac{3}{2}(x+1)^2+6[/tex]
b) Input a = -3/2 into the Intercept form and expand to get the Standard form:
[tex]y=-\dfrac{3}{2}(x+3)(x-1)\\\\\\y=-\dfrac{3}{2}(x^2+2x-3)\\\\\\y=-\dfrac{3}{2}x^2-3x+\dfrac{9}{2}[/tex]
c) Use the Vertex form to identify the transformations:
[tex]y=-\dfrac{3}{2}(x+1)^2+6[/tex]
a is negative: reflection over the x-axis|a| = 3/2: vertical stretch by a factor of 3/2h = -1: horizontal shift left 1 unitk = +6: vertical shift up 6 unitsNeed help with this ASAP (just ordered pairs!)
Answer:
Step-by-step explanation:
You have all your x values to the left. Just take 2 and multiply one by one.
Then in order to graph it, you would take (x,y) and plot it.
For example:
y=2x
y=2(5) = 10
(5,10) - you would plot this on the graph.
1. y = 2x
x | y = 2x | y
5 | y = 2(5) | 10
3 | y = 2(3) | 6
0 | y = 2(0) | 0
-1 | y = 2(-1) | -2
-5 | y = 2(-5) | -10
2. y = 1 + 5x
x | y = 1 + 5x | y
-2 | y = 1 + 5(-2) | -9
-1 | y = 1 + 5(-1) | -4
0 | y = 1 + 5(0) | 1
2 | y = 1 + 5(2) | 11
I really need help pls
Answer:
D.
Step-by-step explanation:
Original dimensions:
L = x
W = x
Now we reduce the width by 2 ft and increase the length by 2 ft.
L = x + 2
W = x - 2
The area is the product of the length and width.
A = LW = (x + 2)(x - 2)
The original length and width are 10 ft.
L = W = x = 10
A = LW = (10 + 2)(10 - 2) = 12 * 8 = 96
The new area is 96 sq ft.
Answer: D.
Use the function below to find Fl-2).
F(x) = 3x
Which of these systems of linear equations has no solution?
2 x + 8 y = 15. 4 x + 16 y = 30.
2 x minus y = 18. 4 x + 2 y = 38.
4 x + 7 y = 17. 8 x minus 14 y = 36.
4 x minus 3 y = 16. 8 x minus 6 y = 34.
Answer:
4 x minus 3 y = 16. 8 x minus 6 y = 34 has no solution
Step-by-step explanation:
Examine the system
2 x + 8 y = 15
4 x + 16 y = 30
We see that these equations are identical except for a factor of 2, and thus recognize that this system has infinitely many solutions.
Next, look at the system
2 x minus y = 18
4 x + 2 y = 38
If we divide the second equation by 2, we get the system
2x - y = 18
2x + y = 19
Combining these two equations, we get 4x = 37, which has a solution.
Third, analyze the system
4 x + 7 y = 17 => 8x + 14y = 34
8 x minus 14 y = 36 => 8x - 14y = 36, or 16x = 70, which has a solution
Finally, analyze the system
4 x minus 3 y = 16 => -8x + 6y = -32
8 x minus 6 y = 34 => 8x - 6y = 34
If we combine these two equations, we get 0 + 0 = 2, which is, of course, impossible. This system has no solution.
Answer:
4 x minus 3 y = 16. 8 x minus 6 y = 34 has no solution. the 4th option.
Step-by-step explanation:
44. The length of a road is 380 m, correct to the nearest 10 m. Maria runs along this road at an average
speed of 3.9 m/s. This speed is correct to 1 decimal place. Calculate the greatest possible time taken by Maria
Answer:
Time = distance/speed
max distance = 380+10 = 390 m
Max Time = 390/3.9 = 100 s
During Thanksgiving, Anna worked 9 and 1/2 hours each day. She earned an hourly wage of $16. If she works all weekdays, how much did she earn in ONE WEEK? Solve the problem. You MUST explain your reasoning.
Answer:760$ in a week because they worked 5 out of 7 days and made 152$ a day
Step-by-step explanation:
9.5 x 16 = $152
152 x 5 (only weekdays)
<!> Branliest is appreciated! <!>
PLEASE HELP ME WITH THIS
X is equal to 28
Hope this helps......
Pleaseee hellllpp!!!!
How many grams of AuCl3, if the compound has 6.3 x10^23 atoms of Cl?
Answer:
105.86 grams of AuCl3, if the compound has 6.3 x10^23 atoms of Cl.
Step-by-step explanation:
We are given that the compound has 6.3 x10^23 atoms of Cl.
To find how many molecules of AuCl3 are in the given compound, we divide the compound by 3, i.e;
[tex]\frac{6.3 \times 10^{23} }{3}[/tex] = [tex]2.1\times 10^{23}[/tex] molecules of AuCl3.
Now, as we know that 1 mole of AuCI3 has [tex]6.022 \times 10^{23}[/tex] molecules.
So, the moles that our compound has is given by;
= [tex]\frac{2.1 \times 10^{23} }{6.022 \times 10^{23} }[/tex] = [tex]\frac{2.1}{6.022}[/tex] = 0.349 mole AuCI3
Also, the molar mass of AuCI3 = 303.33 g/mole
So, the molar mass of 0.349 moles AuCI3 = [tex]303.33 \times 0.349[/tex]
= 105.86 g
Hence, 105.86 grams of AuCl3, if the compound has 6.3 x10^23 atoms of Cl.
Solve -27p²q²+6p³-2p⁴-q³
Answer:
-27p^2 q^2 +6p^3 -2p^4 -q^3
Step-by-step explanation:
COMBINE LIKE TERMS
can you please help me with this one??? i need clear explanation
Answer:
£228.
Step-by-step explanation:
We know that each tile is 20 cm by 20 cm, which works out to be an area of 400 square cm.
The floor is 3 m by 5 m, which means it is 300 cm by 500 cm. 300 * 500 = 150000 square cm in area.
To find how many tiles are necessary, we need to find out the area of the floor divided by the area of the individual tiles.
150,000 / 400 = 1,500 / 4 = 750 / 2 = 375
So, to cover the floor, you will need 375 tiles.
Since tiles come in boxes of 10, you will need to find what is 375 divided by 10 so you can know how many boxes to buy.
375 / 10 = 37.5
Since you absolutely NEED 375 tiles to cover the floor, you need that half of a box, so you will buy 38 boxes of tiles.
Each box costs £6. 38 * £6 = £228. And that is your total cost!
Hope this helps!
Caitlyn started collecting shells in 2005. She records how many shells are in her collection each year.
Years since 2005 # shells
0 30
1 39
2 48
3 57
What is the initial value?
0
9
30
57
Answer:
30.
Step-by-step explanation:
The initial value is the value that she starts out with. This means that she is referring to year 0. According to the chart, on year 0, she collected 30 shells.
The answer is 30.
two cars are traveling down the highway with the same speed if the first car increases its speed by 1km/hr and the other car decreases its speed by 10km/hr,then the first car will cover the same distance in 2hrs as the second car in 3 hrs, what is the speed of the cars
Answer:
Their speed is 32 km/h.
Step-by-step explanation:
Since they're at the same speed, we can assign a variable to their speed called "x". When the first car increases its speed by 1 km/h, its new speed is "x + 1", while the other car decreases its speed by 10 km/h, so its new speed is "x - 10". The distance's formula can be expressed as below:
[tex]\text{distance} = \text{speed}*\text{time}\\[/tex]
With the modifications to their speed, the distance the first car covers in 2 h and the distance the second car covers in 3 h is shown below:
[tex]\text{distance}_{car1} = (x + 1)*2 \\\text{distance}_{car1} = 2*x + 2[/tex]
[tex]\text{distance}_{car2} = \text{speed}*\text{time}\\\text{distance}_{car2} = (x - 10)*3\\\text{distance}_{car2} = 3*x - 30[/tex]
Since the distance covered by them must be the same, we can find the value of x that makes the expressions equal.
[tex]2*x + 2 = 3*x - 30\\2*x - 3*x = -30 -2\\-x = -32\\x = 32[/tex]
Their speed is 32 km/h.
Plz help I’m trying to solve for the indicated variable
Hey there! :)
Answer:
a. b = y - mx
b. x = y - b /m
c. t = I/ pr
d. t = A - p/pr
Step-by-step explanation:
a. y = mx + b (for b)
Isolate the b variable by subtracting both sides by mx:
y - mx = b.
Therefore:
b = y - mx.
b. y = mx + b (for x)
Subtract 'b' from both sides:
y - b = mx
Divide 'm' from both sides:
y - b / m = x
c. I = prt
Divide both sides by pr:
I /pr = t.
d. A = p + prt
Subtract p from both sides:
A - p = prt
Divide both sides by pr:
A - p / pr = t
80 inches of snow over 10 days
Answer:
8-in of snow each day
Step-by-step explanation:
Answer:
8 inches of snow each day
Step-by-step explanation:
hope this helps :)
Angles C and D are complementary. The ratio of the measure of Angle C to the measure of Angle D is 2:3. What are the measures of both angles?
Answer:
36° and 54°
Step-by-step explanation:
Complementary angles are angles whose sum equals to 90°
Hence C +D = 90°
The ratio of C &D = 2:3 respectively
Sum of the ratio = 2+3 = 5
Hence we divide each of the ratio by the sum of the entire ratio and then multiply by 90°
For angle C :
2/5 × 90
2×18 = 36°
For angle D :
3/5× 90
3×18 = 54°
Hence the angles are 36° and 54° respectively
To proof that we are actually right
C+D = 90°
36+54 = 90°
Hence the answer is right.
If the radius of a coin is 1cm than calculate its area
Answer:
3.14 square cm
Step-by-step explanation:
Since, a coin is circular in shape, hence its area would be equal to the area of a circle.
[tex]\therefore are \: of \: coin = \pi {r}^{2} \\ = 3.14 \times {1}^{2} \\ = 3.14 \times 1 \\ = 3.14 \: {cm}^{2} \\ [/tex]
What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that apply.
Answer:
y = -[tex]\frac{2}{5}[/tex]x - 1
Step-by-step explanation:
First, we can put the equation into y = mx + b form:
2x + 5y = 10
5y = -2x + 10
y = -[tex]\frac{2}{5}[/tex]x + 2
Now, we know the slope is -[tex]\frac{2}{5}[/tex]. A parallel line will have the same slope.
So, we can plug in the point (-5, 1) into the equation y = -[tex]\frac{2}{5}[/tex]x + b to find b:
1 = -[tex]\frac{2}{5}[/tex](-5) + b
1 = 2 + b
-1 = b
So, the equation will be y = -[tex]\frac{2}{5}[/tex]x - 1
y = 5x + 2 3x = –y + 10 What is the solution to the system of equations
Answer:
x = 1 , y = 7
Step-by-step explanation:
Solve the following system:
{y = 5 x + 2 | (equation 1)
3 x = 10 - y | (equation 2)
Express the system in standard form:
{-(5 x) + y = 2 | (equation 1)
3 x + y = 10 | (equation 2)
Add 3/5 × (equation 1) to equation 2:
{-(5 x) + y = 2 | (equation 1)
0 x+(8 y)/5 = 56/5 | (equation 2)
Multiply equation 2 by 5/8:
{-(5 x) + y = 2 | (equation 1)
0 x+y = 7 | (equation 2)
Subtract equation 2 from equation 1:
{-(5 x)+0 y = -5 | (equation 1)
0 x+y = 7 | (equation 2)
Divide equation 1 by -5:
{x+0 y = 1 | (equation 1)
0 x+y = 7 | (equation 2)
Collect results:
Answer: {x = 1 , y = 7
Answer:
D) (1,7)
Step-by-step explanation:
just took the test
Use SOHCAHTOA for this. Work out 'm' in 3sf, I need the working out.
Anwer:3.537m
STEP BY STEP EXPLANATIOND:using SOH CAH TOA
First find the opposite
Represent the opposite with x
Tan 33° =x\10
x=10Tan 33°
x=6.494
To find m
Sin 33°=m\6.494 Sin 33°
m=3.5368
m=3.537meteres
What is the only solution of 2x^+8=x^-16
Help Please again ;-;
Answer:
Graph 1 shows a negative correlation, and graph 2 shows a positive correlation. This is because in graph one, as x increases, y decreases, and in graph two as x increases, y also increases.
The perimeter of a rectangular field that measures 2 feet by 18 inches is _________ ft. A. 40 B. 7 C. 84 D. 6
Answer:
B. 7
Step-by-step explanation:
Bettina is measuring the food for her farm animals. She has 265 grams of corn, 500 grams of hay, and 495 grams of oats. What is the total weight in kilograms?
Answer
260 kilograms
Step-by-step explanation:
the correct answer is 260 kg
Answer: 12.6 kg
Step-by-step explanation: add the amounts of food for her farm, and just search for how many kg are in 1,260 grams