Answer:
thomas is 25 years old
Step-by-step explanation:
ratio = 3:1
3+1=4
total age=100
Thomas age = 1/4 × 100 = 25
Which algebraic expression is equivalent to the expression below?
3(5x + 7) - 6(4 - 25)
Answer:
15x+21-24+150
15×+147
Answer:
15x + 147
Step-by-step explanation:
The given algebraic expression to us is ,
⇒ 3(5x + 7) - 6(4 - 25 )
On opening the brackets ,
⇒ 15x + 21 - 24 + 150
⇒ 15x + 147
Rewrite the equation by completing the square.
Answer:
4(x - [tex]\frac{1}{2}[/tex] )² = 0
Step-by-step explanation:
Given
4x² - 4x + 1 = 0 ( factor out 4 from the first 2 terms )
4(x² - x) + 1 = 0
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - x
4(x² + 2(- [tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) + 1 = 0
4(x - [tex]\frac{1}{2}[/tex] )² - 1 + 1 = 0
4(x - [tex]\frac{1}{2}[/tex] )² = 0
What is the approximate value of x. Enter only a numeric answer rounded to the nearest tenth
Answer:
14.9 degrees
Step-by-step explanation:
For this problem you can use Tan∅=o/a and solve for the angle:
15.7 / 59 = 0.2661
Then use inverse tangent of 0.2661 to get 14.9.
The solutions to the equation 2x^2 + x - 1 = 2 are x = -3/2 or x = _______.
Answer:
The remaining solution to the equation is x = 1
Step-by-step explanation:
2x^2 + x - 1 = 2
First set the equation to zero by subtracting 2 from each side:
2x^2 + x - 1 - 2 = 2 - 2
2x^2 + x - 3 = 0
Factor the left side of the equation:
2x^2 + x - 3 = 0
(2x + 3)(x - 1) = 0
Now set each factor to zero and solve:
2x+ 3 = 0
2x+ 3 - 3 = 0 - 3
2x= -3
2x/2= -3/2
x= -3/2 (The given expression)
x - 1 = 0
x - 1 + 1 = 0 + 1
x = 1
Since we already knew x = -3/2, the missing solution is x = 1.
Select the correct answer.
Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y=x+7?
OA. It is the graph of y=x where the slope is increased by 7.
ОВ. It is the graph of y= x translated 7 units to the right.
Oc. It is the graph of y= x translated 7 units up.
OD. It is the graph of y= x translated 7 units down.
Answer:
Correct Answer is C
since anything after x decides if it goes up or down like +7 goes up -7 goes down i don't know what would be if it goes sideways
I NEED HELP PLEASE!
Juanita and Lauren are painting a
circular mural on one wall of the
community center. The area of the
mural is 66 square meters.
what is the radius?
remember,a=pie r^2,use pie=22/7
Answer:
4.583 meters
Step-by-step explanation:
Divide 66 by pi
=21.01910828
I rounded to 21
Find the square root of 21
4.58257569...
I rounded again, to 3 decimal places
4.583
Hope it helps!
Answer:
√21 aka square root of 21
Step-by-step explanation:
The person above pretty much explained it lol
What is the area of this figure
Answer:
178m squared
Step-by-step explanation:
make 3 rectangular shapes
shape 1 ) 18×5=90
shape 2) 13×6= 78
shape 3) 5×2=10
Add up all the answers and that's the ans
90+78+10=178
Jing jing works in a store and she spends some of her time organizing the stationary section. If there are nine different items on the rack, how many ways can she organize the rack so that the two most expensive items are not together?
Answer:
282240 ways
Step-by-step explanation:
number of items = 9 different items
Ranking based on worth
determine number of ways to arrange the 9 items such that the 2 most expensive are apart
first step: consider the 2expensive items as 1
∴ number of permutation = [ ( 9 - 2 ) + 1 ]! * 2!
= [ 8 ] ! * 2! = 80640
Total number of permutation/arrangement = 9! = 362880
hence to arrange the 9 items without having the two most expensive items together
= 362,880 - 80640
= 282240 ways
what percent of 98 million is 7740
Answer:
Step-by-step explanation:
x : 100 = 7740 : 98 000 000
x = (7740 * 100)/98 000 000
x = 0.007898 %
A percentage is a hundredth of a number Then [tex]\displaystyle\bf \frac{7740}{98\cdot10^6} \cdot100=\frac{387}{49000} \approx 0,00789\%[/tex]
Two spheres have are such that the radius of the bigger sphere is 3 times bigger than the smaller. What is the ratio of the area?
Answer:
1 : 27
Step-by-step explanation:
Radius of sphere one = r₁ = x units
Radius of sphere 2 = r₂ = 3*x = 3x units
Ratio of area of two sphere's = r₁³ : r₂³
= x³ : (3x)³
[tex]= \frac{x^{3}}{3^{3}*x^{3}}\\\\= \frac{1}{3^{3}}\\\\= \frac{1}{27}[/tex]
= 1 : 27
what are the x- intercepts of the function f(x)= -2x-3+20?
Answer:
x = .464
Step-by-step explanation:
Assumptions: Equation is [tex]-2x^3+20[/tex]. Thus having an asymptote at the value x=0.
To solve for the x-intercepts, we plug in 0 for f(x).We can subtract 20 from both sides, leaving us with [tex]-20 = -2x^-3.[/tex]We can divide both sides by -2. [tex]10=1/x^3[/tex].Now we multiply both sides by x^3, to get rid of the denominator on the right-hand side. [tex]10x^3=1[/tex].We now divide both sides by 10 and take the cube root. Leaving us with x = [tex]\sqrt[3]{1/10}[/tex] or .464. (One x-intercept.)Conditional Statement: if p then q The converse form of a conditional statement is when: O p and q are switched, and both negated. p and the q are switched. Neither p or q is negated. O p and q are both negated. Neither p or q are swithced.
B) p and the q are switched
C) Neither p or q is negated
========================================================
Explanation:
The original conditional "if P, then Q" has P and Q swap places to form the converse. So the converse would be "if Q, then P". We don't negate P, and we don't negate Q either.
Here is the full list
Original = If P, then QConverse = If Q, then PInverse = If not P, then not QContrapositive = If not Q, then not PSide notes:
The original and contrapositive are equivalent in truth value.The converse and inverse are equivalent in truth value.Which of the following is the equation of the quadratic function below?
Answer:
C y=x^2+2x+1
Step-by-step explanation:
Can someone help with 16 and 18
9514 1404 393
Answer:
16. k^5/j^3
18. 81y^20
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c) . . . . where b may be 0
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
___
We can simplify the given expressions as follows.
16.[tex]\dfrac{k^6j^2}{kj^5}=k^{6-1}j^{2-5}=k^5j^{-3}=\boxed{\dfrac{k^5}{j^3}}[/tex]
__
18.[tex](x^{-2})^2(3xy^5)^4=(x^{-2\cdot2})(3^4x^4y^{5\cdot4})=81x^{-4+4}y^{20}=\boxed{81y^{20}}[/tex]
Find end and mid point
Answer:
You already post your answer!
Step-by-step explanation:
Maybe you should get two points in order to find midpoint and endpoint!
or you should give other information!
Please help me ASAP! and thank you
Answer:
214°
Step-by-step explanation:
Full circle measure = 360°
Measure of arc AB = 146° (central angle has the same measure as measure of intercepted arc)
Therefore:
Measure of arc ACB = 360° - arc AB
Measure of arc ACB = 360° - 146°
= 214°
Which of the following is most likely the next step in the series?
Answer:
You didn't send a picture from that question so we don't know what to do with it.
Whoever helps me I will mark brainliest.
Answer:
Option no. D is right. Because the congruence presented is more congruent
5. Biking at a constant rate, Elise travels
35 miles in 7 hours. If she travels at the
same speed, how far will Elise bike in
9 hours?
A 5 mi
B 44 mi
C 45 mi
D 63 mi
If < A and < B are vertical angles, and < A = 5x - 1 degrees, and < B = 4x + 4 degrees, find x.
Select one:
a. 5 / 9
b. - 3
c. 5
d. 11
Answer:
c
Step-by-step explanation:
vertical angles are congruent, so
5x - 1 = 4x + 4 ( subtract 4x from both sides )
x - 1 = 4 ( add 1 to both sides )
x = 5 → c
The value of x is c. 5
Given that,
If < A and < B are vertical angles, and < A = 5x - 1 degrees, and < B = 4x + 4 degreesBased on the above information, the calculation is as follows:
5x - 1 = 4x + 4
5x -4x = 4 + 1
x = 5
Learn more: brainly.com/question/17429689
a parallelogram has side lenghts 20 cm and 25 cm. the diagonal opposite the obtuse angle measures 38 cm. what is the measure of the obtuse angle?
Step-by-step explanation:
1. draw the parallelogram with side 20cm and 25cm respectively and also the diagonal as well.
2.Clearly it forms a triangle in the parallelogram with three known lengths of side.
3.Using the cosine rule : c^2=b^2+c^2 -2bc cos c to find the obtuse angle.
9514 1404 393
Answer:
114.8°
Step-by-step explanation:
The angles can be found using the Law of Cosines. It tells you ...
c² = a² +b² -2ab·cos(C)
Then angle C can be found to be ...
C = arccos((a² +b² -c²)/(2ab)) = arccos((20² +25² -38²)/(2·20·25))
C = arccos(-419/1000) ≈ 114.77°
The measure of the obtuse angle is about 114.8°.
Graph 3 points on the line y = x+6
Y=x+6
X+y=8
Answer:
We can first, determine two points on the line:
For:
x
=
0
y
=
0
−
6
y
=
−
6
or
(
0
,
−
6
)
For:
x
=
6
y
=
6
−
6
y
=
0
or
(
6
,
0
)
Next, we can plot these two points on the grid:
graph{(x^2+(y+6)^2-0.125)((x-6)^2+y^2-0.125)=0 [-20, 20, -10, 10]}
Now, we can draw a line through the two points to graph the line for the equation:
graph{(x^2+(y+6)^2-0.125)((x-6)^2+y^2-0.125)(y-x+6)=0 [-20, 20, -10, 10]}
(06.01)Four graphs are shown below: Which graph represents a negative linear association between x and y?
Answer:
Step-by-step explanation:
A negative linear association between x and y means that as x increases, y decreases at the same rate, creating a line with a negative slope. This line will tend from upper left to lower right. 2 of those graphs tend from upper left to lower right, but only one of them is a linear representation. That is graph D.
Which of the following represents the factorization of the polynomial function
graphed below? (Assume it has no constant factor.)
o
A. y - (x - 1)(x+3)
B. y - (x + 1)(x+3)
O
C. y = (x - 1)(x-3)
Answer:
c: y=(x-1)(x-3)
Step-by-step explanation:
How do I answer 3 and 4
Answer:
yo have to think very hard about it
sorry, I don't have an answer but I do want to know myself
Can someone help me with this math homework please!
Answer:
1. Both Egyptian and Chinese number systems use base 10.
3. All three cultures had unique symbolism to represent their numbers . (Earlier symbols were used to depict things)
4. There are two primary sources for ancient Egyptian mathematics
Step-by-step explanation:
I didn't know this question so I just searched on Brainly and someone already asked this question before, so I'm using their answers (just letting you know lol)
Credit: chisnau & metchelle
Marissa wants to write an abbreviated set of directions for finding coordinates of a figure reflected across the y-axis. Which mapping notation is correct?
(x, y) right-arrow (negative x, y)
(x, y) right-arrow (x, negative y)
(x, y) right-arrow (negative x, negative y)
(x, y) right-arrow (y, x)
Answer:
(x,y) right arrow (negative x , y)
Step-by-step explanation:
Mathematically, when we reflect a point over the x-axis; we have a result
The result is that the x- coordinate of the point reflected takes up a negative value
so what we have here is that;
(x,y) becomes (-x,y) once reflected over the y-axis
So, traditionally, we add the arrow
So our answer is thus;
(x,y) right arrow (negative x , y)
Answer:
A.
Step-by-step explanation:
Someone help me please?
Answer:
([tex]a^{2}[/tex] + 9 ) × (2[tex]a^{2}[/tex] + 1)
for the first one try two but im not sure
Which of the following shows the coordinates of A (6, 12)
after reflection over the y-axis?
Answer:
(- 6, 12 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
A (6, 12 ) → A' (- 6, 12 )
Please help :(((((((((((((((((((((((((
jeez that looks really hard
Step-by-step explanation:
