Answer:
x = -2/3 , 2
Step-by-step explanation:
Factor 2 out of 6 x^ 2 − 8 x − 8
2 ( 3 x^ 2 − 4 x − 4 ) = 0
Factor
2 ( 3 x + 2 ) ( x − 2 ) = 0
Set 3 x + 2 equal to 0 and solve for x
x = -2/3
Set x − 2 equal to 0 and solve for x
x = 2
The final solution is all the values that make 2 ( 3 x + 2 ) ( x − 2 ) = 0
x = -2/3 , 2
Hope this can help you
if the sum of two angles is 200 grade and their difference is 20 degree. Find the angle?
Step-by-step explanation:
Formulate an equation to solve for this one.
- I did x+x-20= 200
x represents the larger angle between the two triangles.
x-20 represents the smaller triangle which the problem states is 20 degrees smaller.
- if you solve the equation I gave you above you will get your answer. x= 110
your angles should be 110 and 90. You can check by adding those numbers which will equal to 200.
Hope this helps!
*This Question Has 3 Questions in it
Question 1 Use a calculator to find [tex]\sqrt{61.6}[/tex] to the nearest hundredth.
Question 2 Which of the following statements is true?
Refer to Question 2 . PNG
Question 3 simplify [tex]\sqrt{0.81}[/tex]
Answer:
Ques 1: 7.85
Ques 2: both [tex]\sqrt{0.25}[/tex] and [tex]-\sqrt{16}[/tex] are rational.
Ques 3: 0.9
Step-by-step explanation:
Ques 1:
Solving the [tex]\sqrt{61.6}[/tex], we get 7.8485.
Rounding off to nearest hundredth, we see that next digit is 8, so we increase the previous digit by 1.
So, the answer to nearest hundredth is 7.85.
Ques 2:
[tex]\sqrt{0.25}[/tex] and [tex]-\sqrt{16}[/tex]to be checked whether they are rational or irrational.
We know that [tex]\sqrt{16}[/tex] is equal to 4.
[tex]-\sqrt{16}[/tex] = -4 which is a rational value.
Let us solve [tex]\sqrt{0.25}[/tex] now.
[tex]\sqrt{0.25} = \sqrt{\dfrac{25}{100}}\\\Rightarrow \dfrac{5}{10}[/tex]
Which is a rational value.
So, both are rational.
Ques 3:
Simplify [tex]\sqrt{0.81}[/tex]
0.81 can be written as [tex]\frac{81}{100}[/tex] in rational form.
Now, taking the square root, we need to take the square root for both Numerator and Denominator and then we can divide to get the desired square root.
[tex]\sqrt{0.81} = \sqrt{\dfrac{81}{100}}\\\Rightarrow \dfrac{9}{10} = \bold{0.9}[/tex]
So, the answers are:
Ques 1: 7.85
Ques 2: both [tex]\sqrt{0.25}[/tex] and [tex]-\sqrt{16}[/tex] are rational.
Ques 3: 0.9
Algunos granos de maíz al ser calentados revientan y pierden agua de manera explosiva.
En promedio se puede considerar que tienen una masa de 125 mg y cuando explotan (palomitas
de maíz) su masa es de 106 mg. ¿Cuántos granos de maíz pira se requerirán para obtener una
libra de palomitas de maíz?
Answer:
Step-by-step explanation:
4280 granos de maíz pira se requerirán para obtener una libra de palomitas de maíz.
CálculoDado que algunos granos de maíz al ser calentados revientan y pierden agua de manera explosiva, y en promedio se puede considerar que tienen una masa de 125 mg y cuando explotan (palomitas de maíz) su masa es de 106 mg, para determinar cuántos granos de maíz pira se requerirán para obtener una libra de palomitas de maíz se debe realizar el siguiente cálculo:
453592 mg = 1 lb453592 / 106 = X4279.16 = XPor lo tanto, 4280 granos de maíz pira se requerirán para obtener una libra de palomitas de maíz.
Aprende más sobre cálculo en https://brainly.com/question/2193984
please help me out
Answer:
81cm squared
Step-by-step explanation:
Area for triangle:
base x height x 1/2 =
5cm x 6cm x 1/2 =
30cm/2 = 15cm squared
Area for rectangle:
length x width:
11cm x 6cm = 66cm squared
Add the totals together = 66cm + 15cm = 81cm squared
Answer:
(triangle)
A. A= b × h ÷ 2
= 5cm × 7cm ÷ 2
= 35cm ÷ 2
= 17.5cm²
(rectangle)
B. A= L × W
= 11cm × 6cm
= 66cm²
(total of both area)
Total = A+B
=17.5cm² + 66cm²
=83.5cm²
Step-by-step explanation:
To find the area of a triangle, you must do the following formula:
Area= base × height ÷ 2
=x²
To find the are of the rectangle, you must do the following formula:
Area= Length × Width
= x²
Then you add the are of the first shape, A, with the second shape, B.
Total= A + B
=x²
I hope this helps! I'm sorry if it's wrong.
7(8+a)=189 please help and give me step by step
Answer: a = 19
Step-by-step explanation:
Given
7 (8 + a) = 189
Divide 7 on both sides
7 (8 + a) / 7 = 189 / 7
8 + a = 27
Subtract 8 on both sides
8 + a - 8 = 27 - 8
a = 19
Hope this helps!! :)
Please let me know if you have any questions
help me solve please
Answer:
D) 16+4√2
Step-by-step explanation:
If the area of the triangle is 8, we use 1/2bh to find it. Since b and h are the same on this triangle, we find that 8=1/2(4)(4)
Now we know that the two sides of the parallelogram and the top two sides of the triangle are all 4. We just need to find the bottom of the parallelogram to know the perimeter. It’s the same as the hypotenuse of the right triangle.
4²+4²=c²
16+16=c²
32=c²
c=√32 Now we have all 5 sides.
4+4+4+4+√32
16+√32
16+4√2
There were 96 people in a queue to get into a fun fair. There were at least
4 children between any 2 adults.
What was the largest possible number of adults in the queue?
Answer:
32 adulta
Step-by-step explanation:
96÷6 = 16 number of families
now we need to see how many adults there are in 16 families.
and the number is 32 adults.
Answer:
32 adults.
Step-by-step explanation:
At the very least, there are 4 children for every 2 adults. That means that, at the very least, there are 6 people in one group to get into the fun fair.
96 / 6 = 16
So, there are 16 groups trying to get into the fun fair, with 2 adults in each group. 2 * 16 = 32 adults are in the queue.
Hope this helps!
Which value of x satisfies the equation
Answer:
x=6
Step-by-step explanation:
(0.6)(x-1.5)=2.7
(x-1.5)=4.5
x=6
89-x=213 what's the answer?
Answer:
x = -124
Step-by-step explanation:
89-x=213
Subtract 89 from each side
89-x -89=213-89
-x = 124
Multiply each side by -1
x = -124
Step-by-step explanation:
89-x=213
89-213=x
x= -124
hope this helps
solve for the value of C
Answer:
Step-by-step explanation:
I need help comrades, I will give you 5 stars and A big thank you comrades
Answer:
dicontinuity at (-4.-2)zero at (-2.0)
Step-by-step explanation:
answer c
this shoud be correct
i  genuinely dont know help
Answer:
-13 1/2 < -6/8
Step-by-step explanation:
*Any negative in either the numerator or denominator will make the entire fraction negative.
1/2 = .5
-13 1/2 = -13.5
-6/8 = -3/4
-3/4 = -0.75
-6/8 = -0.75
-13 1/2 = -13.5
Which means:
-13 1/2 < -6/8
Hope this helped.
Answer:
[tex] < [/tex]
Step-by-step explanation:
[tex] \frac{6}{8} [/tex]
Is close to 0 (to positive) you can use a time line to determine which is a correct answer
How many lbs. of mixed nuts that contain
37% peanuts must Ashley add to 17 lbs. of
peanuts to make a mixture with 88%
peanuts?
-Answer:
4 lbs of 37% mixed nuts
Step-by-step explanation:
[tex]\frac{\left(17+.37x\right)}{17+x}\:=\:.88[/tex]
x = 4
how much cost Rs 1136 when it is 10% discount and 13% vat is added then find out the discount and Vat amount
Answer:
Rs 1155.3
Step-by-step explanation:
1136 * .1 = 113.6
1136 - 113.6 = 1022.4
1022.4 * 1.13 = 1155.3
6.7 more than 5 times a number is 20
Answer:
the number is 2.66
Step-by-step explanation:
[tex]6.7+5x=20[/tex]
Step 1. Subtract 6.7 from both sides
[tex]5x=20-6.7[/tex]
[tex]5x=13.3[/tex]
Step 2. Isolate the variable
[tex]\frac{5x}{5} =\frac{13.3}{5}[/tex]
[tex]x=2.66[/tex]
The number is 2.66
The U.S. swim team won 13 gold medals in a recent competition against two other countries.Of the total 60 medals awarded, there were 20 each of bronze, silver, and gold. Spain won 5gold medals. France won one-third of all the medals and had an equal number of silver andbronze medals. How many silver and bronze medals did France win?
The number of silver and bronze medals that France won are 9 silver and bronze medals.
Since there are 60 medals awarded, and there were 20 each of bronze, silver, and gold. This means that there are 20 gold, 20 bronze and 20 silver.
Since U.S. swim team won 13 gold medals and Spain won 5gold medals, then the gold won by France will be:
= 20 - (13 + 5)
= 20 - 18
= 2 gold medals
France won 2 gold medals.
Since France won one-third of all the medals, the number of medals won by France will be:
= 1/3 × 60
= 20 medals
Since France won 2 golds medals, then the number of silver and bronze will be:
= 20 - 2
= 18 silver and bronze medals.
Since France won equal number of silver and bronze medals. This will be:
= 18/2
= 9 silver and bronze medals.
Read related link on:
https://brainly.com/question/19972449
Select the correct answer. This set of ordered pairs defines a function. {(-49,7), (-56,8), (-63,9), (-70,10)} Which table represents the inverse of the function defined by the ordered pairs? A.
In the future, you should post all possible answer choices to have a complete post. However, there's enough information to get the answer.
The original set has points in the form (x,y)
The first point is (x,y) = (-49,7) making x = -49 and y = 7. When we find the inverse, we simply swap the x and y values. The inverse undoes the original function and vice versa. So if (-49, 7) is in the original function, then (7, -49) is in the inverse. The rest of the points follow the same pattern.
We end up with this answer
{ (7, -49), (8, -56), (9, -63), (10, -70) }
72.3 + (-39.1)
☝
Rewrite the expression by breaking up each of the place values. In this case, the place values are tens, ones, and tenths.
Answer:
72.3 - 39.1 = 4tens - 7ones + 2tenth
Step-by-step explanation:
Give the expression 72.3 + (-39.1)
opening the parenthesis:
= 72.3 + (-39.1)
= 72.3 - 39.1
Breaking the decimal values into place values
72.3 = 7tens + 2units + 3tenth
72.3 = 7(10)+2(1)+3(1/10)
72.3 =70+2+0.3
Similarly for 39.1
39.1 = 3tens + 9units + 1tenth
39.1 = 3(10)+9(1)+1(1/10)
39.1 =30+9+0.1
72.3 - 39.1 = 70+2+0.3 - (30+9+0.1)
72.3 - 39.1 = 70+2+0.3 - 30-9-0.1
72.3 - 39.1 = 70-30+2-9+0.3-0.1
72.3 - 39.1 = 40 - 7 +0.2
72.3 - 39.1 = 4tens - 7ones + 2tenth
Answer:
72.3 - 39.1 = 70 + 2 + 0.3 + (-30) +(-9) + (0.1)
Step-by-step explanation:
got it from edmentum
On a time limit answer asap pls
Answer:
160°
Step-by-step explanation:
Take notice that m∠1 and m∠2 are supplementary angles, meaning their angle measures will add up to 180°.
Since we know m∠2, we can find m∠1 easily.
180-20=160°
Hope this helped!
What is a16 of the sequence 2,11,20
Answer:
137
Step-by-step explanation:
This is an arithmetic sequence with first term (a₁) being 2 and common difference (d) being 11 - 2 = 9.
Explicit formula: aₙ = a₁ + (n - 1) * d so our formula is:
aₙ = 2 + (n - 1) * 9
= 2 + 9n - 9
= 9n - 7
a₁₆ = 9(16) - 7 = 137
Write the equation of the circle in standard form with the center located at
(-2, 5) and radius of 3.
Answer:
(x+2)^2 + (y-5)^2 = 9
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -2)^2 + (y-5)^2 = 3^2
(x+2)^2 + (y-5)^2 = 9
i need help anybody ?
Answer and Step-by-step explanation:
Simply use the Pythagorean Theorem to solve.
The Pythagorean Theorem is used to solve for a side in right triangles.
[tex]A^{2} +B^{2}= C^{2}[/tex]
Plug the sides values into the equation.
[tex]A^{2} + 13^2 = 20^2\\\\A^2 + 169 = 400\\\\A^2 = 231\\\\A = 15.1987[/tex]<- This is the answer.
#teamtrees #PAW (Plant And Water)
20. A pool holds 1440 cubic feet of water, the city charges $1.75 per cubic meter of water used.
How much will it cost to fill the pool?
Answer:Conversion units
Step-by-step explanation: 1 ft^3= 0.028m^3 .: 1440ft^3=40.776m^3, so $1.75x40.776=$71.358~ $71.36.:
Answer:
$71.36
Step-by-step explanation:
1 foot = 0.3048 metros
1 cubic feet = (0.3048metros)³ = 0.02932 cubic meters (aprox.)
1440 cubic feet = 1440*0.02932 = 40.7763 m
$1.75 por cubic meter:
1.75*40.7763 = $71.36
what is the slope for 3y and 5x on a graph?
y=−53xUsing the slope-intercept form, the slope is −53.m=−53
Both please please………
Answer:
Step-by-step explanation:
First one - Because it says 2 years ago, you can do 60000-4% for one year and then take the answer and - another 4% for the second year to get her income from 2 years ago. (I commented on this)
Second one - 1/3 - Take 1/6*200%=1/6*2=2/6, 2/6=1/3. So 1/3 or 2/6 of the students have a engineering major
There is a point $A$ with positive coordinates such that the sum of the coordinates of $A$ is $14$. If the $x$-coordinate of $A$ is $a$, then point $P$ is at $(3a, a^2+13a-11)$. If the slope of a line passing through $A$ and $P$ is $7$, find $a$.
Answer:
5
Step-by-step explanation:
Given:
A = (a, 14-a)
P = (3a, a^2 +13a -11)
the slope of AP is 7
a > 0
Find:
a
Solution:
The slope of AP is ...
m = (Py -Ay)/(Px -Ax)
7 = (a^2 +13a -11 -(14 -a))/(3a -a)
14a = a^2 +14a -25
25 = a^2
a = √25 = 5 . . . . . the positive solution
The value of 'a' is 5.
_____
Check
The point A is (a, 14-a) = (5, 9).
The point P is (3a, a^2 +13a -11) = (15, 79)
The slope of AP is (79 -9)/(15 -5) = 70/10 = 7.
Which relation is also a function?
{ (1,0), (2,2), (1,3) }
{ (1, 2), (1, 4), (2, 6) }
{ (2, 1), (2, 2), (2, 3) }
{ (0, 0), (4, 0), (6, 0) }
Answer:
{ (0, 0), (4, 0), (6, 0) }
Step-by-step explanation:
In order to be a function, ordered pairs must have values of x, or the domain, that are different and do not repeat.
(4*10^4)+(6*10^2) Standard form
Answer:
40600
Step-by-step explanation:
(4 * 10^4) + (6 * 10^2) =
= 4 * 10000 + 6 * 100
= 40000 + 600
= 40600
Answer:
4.06 x 10^4
Step-by-step explanation:
#3 1/3x = 15 Find value of X
Answer:
x = 45
Step-by-step explanation:
1/3x = 15 (Given)
3(1/3x) = 15(3) (Multiply 3 on both sides)
x = 45 (Simplify)
Answer:
45
Step-by-step explanation:
1/3x = 15
Multiplying 3 on both sides,
3(1/3x) = 15(3)
x = 15 x 3
x = 45
Suppose a pack of candy bars has 4 bars. Each bar weighs 5.78 ounces. How much does the pack weigh?
Answer:
23.12 ounces
Step-by-step explanation: