Answer:
-21/11
Step-by-step explanation:
Intro:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
First I would distribute what I can...
[tex]6(2x+4)2=(2x+4)+2\\24x+48=2x+4+2[/tex]
Now we combine like terms...
[tex]24x+48=2x+6[/tex]
Subtract 2x from both sides...
[tex]22x+48=6[/tex]
Subtract 48 from both sides...
[tex]22x=-42[/tex]
Divide both sides by 22...
[tex]x=-\frac{21}{11}[/tex]
So the answer is [tex]-\frac{21}{11}[/tex]
Consider the pairs of ratios given and determine whether or not the ratios form a proportion 8 old rings for every 1 ring 16 old rings for every 2 rings A) Yes B) No Save
Answer:
b
Step-by-step explanation:
12) Which name we can give to these triangle
Answer:
The first one is isosceles and the second one is scalene.
This is because the first triangle has two equal sides, therefore it is isosceles and the second one has no equal sides so it is scalene.
Answer:
obtuse triangle and scalene triangle (sana nakatulog sayo)
C. The King football team ordered 50 hats. The cost of shipping was
$6.50. If King spent $256, how much was each hat?
Barnes and noble needs to ship 14 mystery books, 12 science-fiction books, and 8 historical-fiction books. The store can only pack one genre of book in each box, and they must pack the same number of books in each box. What is the greatest number of books Barnes and Noble can pack in each box?
Answer: 2
Step-by-step explanation:
Given: 14 mystery books, 12 science-fiction books, and 8 historical-fiction books needs to b shipped.
If they want to pack one genre of book in each box such that they pack same number of books in each box.
Then, the greatest number of books Barnes and Noble can pack in each box
= GCD(14,12,8)
Since, 14 = 2 x 7
12 = 2 x 2 x 3
8 = 2 x 2 x 2
GCD(14,12,8)=2
Hence, the greatest number of books Barnes and Noble can pack in each box = 2
Help!
A volcano on a discovered planet rises to a height of 19.529 mi.
Use the table of facts to find the height of the volcano in feet.
Round your answer to the nearest tenth.
Answer:
103, 110 ft
Step-by-step explanation:
Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.
___ km/hr is the average speed and ___ km/hr is the average velocity for the whole journey that Eric takes.
Answer:
Average speed = 3.17 km/h and Average velocity = 1.5 km/h
Step-by-step explanation:
It is given that,
Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.
Average speed = distance/time
Distance = 7km + 2.5 km = 9.5 km
Time = 2 h + 1 h = 3 h
Average speed,
[tex]s=\dfrac{9.5\ km}{3\ h}\\\\s=3.17\ km/h[/tex]
Average velocity = displacement/time
Displacement = 7 km +(-2.5 km) = 4.5 km
Average velocity,
[tex]v=\dfrac{4.5\ km}{3\ h}\\\\v=1.5\ km/h[/tex]
So, 3.17 km/h is the average speed and 1.5 km/h is the average velocity for the whole journey that Eric takes.
400.34 + 678.397
210
Answer:
1078.73721
Step-by-step explanation:
Natalie wants to grow it 4 in. Longer than it is now. She knows that hair grows at an average rate of 15 cm/year. How many more months will she wait to have her hair cut? (1 cm ≈ 0.39 in.) Question 1 First, you will need to convert the rate of 15 cm/year to inches per month. Which two conversion factors should you use? Select all correct answers.
Answer:
8.21 months.
Step-by-step explanation:
The growth rate of hair, R = 15 cm/year
As 1 year = 12 months,
[tex]\Rightarrow R=\frac{15}{12}[/tex] cm/month
As 1 cm ≈ 0.39 in.,
[tex]\Rightarrow R= \frac{15}{12}\times 0.39=0.4875[/tex] inch/month.
As she wants to grow it 4 inches longer than it now, So, the time required for 4 inches growth = 4/0.4875=8.21 months.
Hence, she needs to wait for 8.21 months.
Marcia has a monthly income of $3,500. She budgets 8% for her cell phone. What amount does she budget for her cell phone, in dollars and cents?
Answer:
[tex]280 \: dollars[/tex]
Step-by-step explanation:
[tex]3500 \times .08 = 280[/tex]
Simple as that ^^^ Just find 8% of 3500
280,00$
8% of 3500$ equals to
(8/100)*3500=
280,00$=
Write the product as a power.
5 X 5 X 5 X 5 =
Answer:
4 that is the answer...........
5
Worth 30 points.
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
the square root of x minus 3 plus five equals x.
Picture of question and equation attached.
Answer:
x=7 valid solution
x=4 extraneous solution
Step-by-step explanation:
sqrt( x-3) +5 = x
Subtract 5 from each side
sqrt( x-3) +5 -5= x-5
sqrt( x-3) = x-5
Square each side
(sqrt( x-3))^2 = (x-5)^2
Foil the right side ( x-5)(x-5) =x^2 -5x-5x+25 = x^2 -10x+25
x-3 = x^2 -10x+25
Subtract x from each side
-3 = x^2 -10x -x+25
Add 3 to each side
0 = x^2 -11x +25 +3
0 = x^2 -11x+28
Factor
0 = (x-7)(x-4)
Using the zero product property
x-7 =0 x-4=0
x=7 x=4
Check the solutions
sqrt( x-3) +5 = x
x=7
sqrt( 7-3) +5 = 7
sqrt(4) +5 = 7
2 +5 = 7 valid solution
x=4
sqrt( 4-3) +5 = 4
sqrt(1) +5 = 4
1 +5 = 4 not true extraneous solution
someone help with this ASAP I HAVE FEW MINS !!!
Answer:
Symmetric
Step-by-step explanation:
Consider the equation and its solution. 8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. X = 10. Which property is used in the last step to find that x = 10? Distributive property addition property of equality subtraction property of equality division property of equality
Answer:
Division property of equality
Step-by-step explanation:
Consider the equation and its solution. 8 (x minus 2) = 64.
8 x minus 16 = 64.
8 x = 80.
x = 10.
Which property is used in the last step to find that x = 10
The property used in the last step to find that x = 10 is called the DIVISION PROPERTY OF EQUALITY
The Division property of equality states that , when two sides of a quadratic equation are divide by the same integer that is greater than zero, both sides will be equal to one another
Let c be the integer greater than zero
ac = bc
Divide both sides by c
a = b
From the above question
8 x = 80
This is also written as:
8x = 8 × 10
Division property of equality
Divide both sides by 8
Hence,
x = 10
Answer:
division property of equality
Step-by-step explanation:
since the equation before our answer was a multiplication equation, you must counteract that with the division property of equality.
Bruce bought two books. One book costs $4.00 more than three times the other. Together, the two books cost him $72.
Step-by-step explanation:
The variables can be represented as x and y for the two books.
y=3x+4
x+y=72
Use substitution or elimination to solve the problem. I would personally go with substitution, but its all personal preference.
John is trying to solve for y, but he made a mistake. Where did John mess up? What did he do wrong? Step 1: 2 - 3(y- 1) = 6 Step 2: -1(y- 1) = 6 Step 3: -y+1= 6 Step 4: -y = 5 Step 5: y = -5 Step 2; he combined the 2 and -3 before he distributed O Step 3; he did not distribute the -1 correctly Step 2; he did not combine the 2 & -3 correctly. Step 4; he should have added the 1 to 6, not subtracted it Step 3; he should have added 1 to both sides.
Answer:
Step 4!!!
Step-by-step explanation:
3. 100x2-36y2 ??
ito pa guys pleasedddd!!
Answer:
4(5x - 3y)(5x + 3y)
Step-by-step explanation:
Assuming you require the expression factored.
Given
100x² - 36y² ← factor out 4 from each term
= 4(25x² - 9y²) ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , thus
25x² - 9y²
= (5x)² - (3y)² ← with a = 5x and b = 3y
= (5x - 3y)(5x + 3y)
Thus
100x² - 36y² = 4(5x - 3y)(5x + 3y) ← in factored form
Line AB is 14 inches long. What is the approximate area of the circle?
615.44 inches
21.98 inches
153.86 inches
43.96 inches
Answer:
The third one is closest
Step-by-step explanation:
half of the diameter=the radius 14/2 = 7 and the formula for the area of a circle is r^2π so 49 × π is 153.93804
Each baseball hat costs the same amount of money. The cost for 18 baseball hats was $216. What is the unit price?
Answer:
15%
Step-by-step explanation:
if u did the 216 divided by the 18 then that's how u get estimated number
Based on a graph below which sequence of transformation is needed to carry ABCD onto its image A’B’C’D?
Given:
The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).
The vertices of A'B'C'D' are A'(-2,6), B'(-5,3), C'(-8,3) and D'(-8,6).
To find:
The sequence of transformation is needed to carry ABCD onto its image A’B’C’D.
Solution:
The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).
If figure ABCD translated by the rule, [tex](x,y)\to (x,y-9)[/tex], then
[tex]A(2,3)\to A_1(2,-6)[/tex]
[tex]B(5,6)\to B_1(5,-3)[/tex]
[tex]C(8,6)\to C_1(8,-3)[/tex]
[tex]D(8,3)\to D_1(8,-6)[/tex]
Then the figure rotated 180 degrees clockwise about the origin. So,
[tex](x,y)\to (-x,-y)[/tex]
[tex]A_1(2,-6)\to A'(-2,6)[/tex]
[tex]B_1(5,-3)\to B'(-5,3)[/tex]
[tex]C_1(8,-3)\to C'(-8,3)[/tex]
[tex]D_1(8,-6)\to D'(-8,6)[/tex]
So, the required sequence of transformation that is needed to carry ABCD onto its image A’B’C’D is " A translation by the rule [tex](x,y)\to (x,y-9)[/tex] and then a 180° clockwise rotation about the origin".
Therefore, the correct option is D.
solve the inequality p + 4 ≥ -10
Answer:
p ≥ -14
Step-by-step explanation:
Subtract 4 from both sides.
-10 - 4 = -14
This could also be written as -10 + (-4)
p ≥ -14
Hope this helped :)
Please consider Brainliest :)
help pls ?? anyone ?? :(
7. yes
8. yes
9. no
10. no
Linda makes necklaces to sell to her friends. She can make
27 necklaces in 3 hours. How many necklaces can she
make in 5 hours?
Answer:
mark brainlest45
Step-by-step explanation:
in one hour she can make 9 ( 27 divided by 3)
so in 5 hours 45 bc 5x9 is 45
if h(z)=2z2-5z+7, find h(3c)
Answer: h(3c) = 18c2 - 15c + 7
Step-by-step explanation:
h(z) = 2z2 - 5z + 7
To find h(3c), replace each z with 3c.
h(3c) = 2(3c)2 - 5(3c) + 7
Now just simplify.
h(3c) = 2(9c2) - 5(3c) + 7
h(3c) = 18c2 - 15c + 7
See attachment for math work and answer.
The total cost after tax to repair Deborah's computer is represented by 0.09(60h)+60h, where h represents the number of hours it takes to repair Deborah's computer. What part of the expression represents the amount of tax Deborah has to pay? Explain.
Answer:
0.09(60h)
Step-by-step explanation:
The part that represents the tax is 0.09.
This is because, we can rewrite the sum as;
Amount of tax + Total cost for the number of hours
Now, the amount of tax can only be a percentage of the total
We can write 0.09 as 9/100
This can be interpreted as 9% of the total amount
So therefore we can rewrite the amount as;
9% of 60h + 60h
So the part that represents the amount of tax Deborah has to pay is 0.09(60h)
4. Suppose the the function f(x) = 5x + 7
represents the cost to play x rounds of
golf at the local mini-golf attraction. If you
have $20, how much more money do
you need to play 3 rounds of golf?
A. $22
C. $2
B. $15
D. $5
Answer:
c
Step-by-step explanation:
c
If you divided $63.65 evenly among five children, how much would each
child get?
Answer$12.73
Step-by-step explanation:
$63.65/5(children) = $12.73
Answer:
$12.73
Step-by-step explanation:
$63.65/5=$12.73
A truck traveling East at a velocity of 40.0 m/s comes to a complete stop. How much time it will take for the truck to stop if it decelerates at -5.0 m/s2
DO NOT AWNSER IF YOU DON'T KNOW
WILL GIVE BRAINLIEST, LIKE, COMMENT, AND 10 POINTS
Could you please help me with this question and explain thoroughly?
Answer:
Please don't hold me to this. I think I'm right, but I'm rusty.
Step-by-step explanation:
Constant of proportionality is how much the graph grows for each increasing x value. Slope.
Also remember, rise over run.
Slope: 2nd y- 1st y
2nd x-1st x
y=mx+b
A) 4.95-3.75 = 1.2 = about $0.09 per ounce (x=0.9)
24-10 14
For every 14 oz, the cost goes up $1.2.
B) 360-150 = 210 = 15 calories per ounce (x=15)
24-10 14
For every 14 oz, there are 210 calories in the drink.
Polygons ABCD and A′B′C′D′ are shown on the coordinate grid: A coordinate plane is shown with two polygons represented. Polygon ABCD has vertices A at 2 comma 2, B at 2 comma 4, C at 3 comma 5 and D at 3 comma 1. Polygon A prime B prime C prime D prime has vertices A at negative 1 comma negative 2, B at negative 1 comma negative 4, C at negative 2 comma negative 5, and D at negative 2 comma negative 1. What set of transformations is performed on ABCD to form A′B′C′D′? (4 points) a A translation 1 unit to the left followed by a 180-degree counterclockwise rotation about the origin b A translation 1 unit to the right followed by a 180-degree counterclockwise rotation about the origin c A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right d A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left
Answer:
Answer is A. I get it right. :3
Answer:
a
Step-by-step explanation:
which of these numbers has the most factors? 6:
17:
25:
36:
Answer:
36
Step-by-step explanation: