Answer:
-21
Step-by-step explanation:
Amanda is running a mile in gym class. She runs at a pace of 5 minutes per mile. What's the dependent variable in the situation?
How many solutions does the following system of equations have?
2y= 5x+4
y= 3x+2
Α. Two
B. One
C. Zero
D. Infinitely many
Answer:
B. One
Step-by-step explanation:
The lines have different slopes, so they must intersect at exactly one point.
There is One solution to this system.
_____
If you solve the first equation for y, you get ...
y = (5/2)x +2
This has a different slope (x-coefficient) than the second equation does, but it has the same y-intercept. That y-intercept is the point of intersection of the lines, hence the solution: (x, y) = (0, 2).
Line CD contains points A (4, −7) and B (4, 8). The slope of line CD is
Answer:
Undefined
Step-by-step explanation:
Slope of CD
[tex] = \frac{8 - ( - 7)}{4 - 4} = \frac{8 + 7}{0} = \infty \\ [/tex]
Hence, Slope of CD is undefined.
If using the method of completing the square to solve the quadratic equation
x2 + 8x – 4 = 0, which number would have to be added to "complete the square"?
Solve by taking the square root of both sides.
3 (x +3)^2 – 81 = 0
a. X = -3 -3 sqrt 3 or -3 + 3 sqrt 3 c. 3 sqrt 3 or 3 + 3 sqrt 3
b. X = -3 -6 sqrt 3 or -3 + 6 sqrt 3 d. 3 sqrt 3 or -3 + 3 sqrt 3
Answer:
a
Step-by-step explanation:
Given
3(x + 3)² - 81 = 0 ( add 81 to both sides )
3(x + 3)² = 81 ( divide both sides by 3 )
(x + 3)² = 27 ( take the square root of both sides )
x + 3 = ± [tex]\sqrt{27}[/tex] = ± 3[tex]\sqrt{3}[/tex] ( subtract 3 from both sides )
x = - 3 ± 3[tex]\sqrt{3}[/tex]
x = - 3 - 3[tex]\sqrt{3}[/tex] or x = - 3 + 3[tex]\sqrt{3}[/tex] → a
Answer:
a
Step-by-step explanation:
If f(x) = x2 - 2x, find:
f(6) = [?]
Answer:
f(6) = 24
Step-by-step explanation:
f(x) = x^2 - 2x
Let x = 6
f(6) = 6^2 - 2(6)
= 36 - 12
= 24
[tex]\text{Plug in 6 to x:}\\\\f(6) = (6)^2-2(6)\\\\\text{Solve:}\\\\f(6) = (6)^2-2(6)\\\\f(6) = 36-2(6)\\\\f(6) = 36-12\\\\\boxed{f(6)=24}[/tex]
If a point Cis inside ZAVB, then mŁAVC+
= MZAVB.
m ZAVB = 62°
A. MZCVB
B. MBVA
C. MZAVB
o
D. MZAVC
SUBMI
- PREVIOUS
Answer: A
Step-by-step explanation:
The missing angle is <CVB.
What is an Angle?An angle is formed by joining two rays (half-lines) that have a shared terminal. The latter is referred to as the angle's vertex, while the rays are referred to as the angle's sides, legs, and arms.
An angle is a figure in Plane Geometry generated by two rays or lines that share a common endpoint. The term "angle" is derived from the Latin word "angulus," which meaning "corner".
We have m < AVC = 39
and, m <VCB = 23
Thus, by adding the above angle we get the whole angle AVB.
Sp. m< AVB = m <AVC + <VCB
m <AVB = 23 + 39
m <AVB = 62
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Circular lawn has a row of bricks around the edge the radius of the lawn is about 20 feet which is the best estimate for the area of the grass in the long use 3.14 for pie select one 125 ft 125 square ft 1250 ft 1256 square feet
Answer:
Area of the grass in the circular lawn is 1256 square feet
Step-by-step explanation:
Lawn is in the shape of circle having radius = 20 feet
Area of the circular lawn will be represented by the formula,
Area = πr² [ Here 'r' = Radius of the circular lawn]
= (3.14)(20)²
= 3.14 × 400
= 1256 square feet
Therefore, area of the grass in the circular lawn will be 1256 square feet.
I WILL MAKE BRAINLIEST AND 30pts. FAST AND HELP ME
Answer:
3rd,5th,6th
Step-by-step explanation:
complementary angles has 90 degree angles and 5x+40 = 5x10+40 = 50+40 = 90 and adjacent angles are angles that add up to a complementary or supplementary angle and do not overlap.
Hope this helps!
Answer:
Step-by-step explanation:
3rd option
x=10
angle ABD + angle DBC = 90
ie 5x + 40= 90
5x=90-40
5x=50
x=10
5th option
both are complementary angles
as they are sum is 90 degree
hope this helps you and dont forget to make me as the brainliest......
Overestimate the grocery bill with items that cost: $8.56, $5.34, $34.25, and $6.80.
A. $55.00
B. $57.00
Answer:
B. $57.00
Step-by-step explanation:
The totals add up to just under $55.00, so an overestimate would be $57.00
PLZ HURRY ILL GIVE BRAINLIEST
Simplify. 6(5p^3 − 6p)
ALSO, HOW WAS YOUR DAY?
Answer:
p = {0, -1.095445115, 1.095445115}Step-by-step explanation:
Answer:
30p^3-36p. Also, my day was niceeeee.
Step-by-step explanation:
To simplify this, we have to use the distributive property. First, you do 6 times 5p^3, and then you get 30p^3. Then you do 6 times 6p, which gives you 36p. So, the final answer would be 30p^3-36p.
If $3,000 is deposited at the end of every six months into an account that earns 10% semiannually, find the amount after 10 years.
Answer:
7959.83
Step-by-step explanation:
A = P ( 1+r/n)^ nt
Where A is the amount in the account
P is the principal
r is the rate
n is the number of compoundings per year
t is the years
A =3000 ( 1+.10/2)^ 2*10
A =3000 ( 1+.05)^ 20
=7959.83
Answer:
$66,000
Step-by-step explanation:
if they earn 6,000 every year and another $600 through interest, add 6,000 + 600 = 6,600 x 10 = $66,000.
Can someone help me with 5?
Answer:
C
Step-by-step explanation:
"at least" is denoted by ≥. The amount of figures Carlos and Josh have can be represented by 5x + 4 and 3x + 14 respectively where x is the amount of figures in a set. We can write:
5x + 4 ≥ 3x + 14
2x ≥ 10
x ≥ 5
Which statement is true about the green,orange,and gray triangles show in the textile pattern below?
A. They are congruent obtuse triangle
B. They are congruent right triangle
C. They are acute right triangle
D. They are similar right triangle
Answer:
b
Step-by-step explanation:
the triangles are all the same so they are congruent. They are also right triangles so they must be a right triangle the only answer that combine this is b
The green, orange and gray triangles are congruent and right triangles. Thus option B is correct.
What are congruent triangles and right triangle?Two triangles are congruent triangles if they are of same size and shape.
Right triangle is a triangle with one of angle 90°.
The given triangles of green, orange and gray triangles are of same shape and size . Therefore we can say that they are congruent triangles
Also we can see that they all have right angle on the left corner therefore they are right triangles . If they are right triangles then they will be also acute triangles too as the some of other two angles of each triangle will be 90 it means they both are less than 90 and congruent means they are similar too as similar triangles have same shape.
Therefore the most appropriate option is Option B , that given triangles are congruent right triangles.
Also, Learn more about the congruent triangles from the given below link:
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In a group of 60 students, 18 students take Algebra I, 20 students take
Algebra II, and 10 students take both subjects. How many students don't take
either of these subjects?
A. 34
B. 36
C. 32
D. 12
Answer
D (12)
Step-by-step explanation:
60-20=40
40-18=22
22-10=12
Help!!due today help as quickly plz
Answer:
Step-by-step explanation:
The answer will be
2/16 + 5/8 = 3/4
which inequality matches the graph?
answer both, please. and explain
Answer:
4. [tex]\frac{13}{23}[/tex]
5. [tex]\frac{4}{7}[/tex]
Step-by-step explanation:
4. The relative frequency is how often it happens divided by the whole number of outcomes.
In this case it would be [tex]\frac{13}{23}[/tex]
5. Find the relative frequency again:
[tex]\frac{12}{28}=\frac{4}{7}[/tex]
What is the name of the relationship between ∠1 and ∠4?
alternate exterior angles
adjacent angles
corresponding angles
alternate interior angles
Answer:
they are corresponding angles
Step-by-step explanation:
Angles L and M are supplementary. If m ∠ L = (x+2)° and m ∠ M = (x-6)°. What is the value of x?
The value of X is 92.
please see the attached picture for full solution
Hope it helps
1) Lakisha wants to buy some bitcoins. The exchange rate is $1 USD to 0.003 bitcoin. How many bitcoins can she buy with $400?
Enter your answer as a decimal, for example: 4.6
Answer:
1.2
Step-by-step explanation:
Diana works in a factory. She receives a salary of $8 per hour and piecework pay of 12
cents per unit produced. Last week she worked 38 hours and produced 755 units.
a. What was her piecework pay?
b. What was her total hourly pay for the week?
c. What was her total pay for the week?
d. What would her total weekly salary have been if she produced 0 units?
Answer:
A) $90.60
B)$304
C)$394.60
D)$304
Step-by-step explanation:A) If she makes 8 cents per product produced and she's produced 755, you multiply 755 times 8 and get 6,040. Place the tenths decimal and you get your answer.
B)She makes 8 an hour and works 38 hours, 38 multiplied by 8 equals $304.
C) Add the answers to both A and C and you get $394.6
D) Refer back to B
A tree outside Ellie’s house cast of 125 foot shadow. At the same time of day, Ellie cast a 5.5 foot shadow. If Ellie is 4‘10“ tall, how tall is the tree in feet?
Answer:
The tall of the tree is about 109.85 feet
Step-by-step explanation:
- The tree and its shadow formed a right angle triangle with legs
x the tall of the tree and 125 feet the shadow of the tree
- Ellie and her shadow formed a right triangle with legs 4 feet and
10 inches the tall of Ellie and 5.5 feet the shadow of Ellie
- The two triangles are similar
- There is an equal ratio between the corresponding sides of the
similar triangles
∵ The tall of the tree is x
∵ The tall of Ellie is 4 feet and 10 inches
babyface17
∴ The tall of Ellie is 4 feet and 5/6 foot = 4 + 5/6 = 29/6 feet
∵ The shadow of the tree is 125 feet
∵ The shadow of Ellie is 5.5 feet
- By using similarity ratio
∴ Tall of tree/tall of Ellie = shadow of tree/shadow of Ellie
∴ x/(29/6) = 125/5.5 ⇒ using cross multiplication
∴ 5.5(x) = 125(29/6) ⇒ divide both sides by 5.5
∴ x ≅ 109.85 feet
* The tall of the tree is about 109.85 feet
Answer:
109.85 ft
Step-by-step explanation:
5.5'/ 4'10"=125 ft/x
5.5*12/(4*12+10)=125/x
66/58=125/x
x=125*58/66
x=109.85 ft
A boy sent a telegram which contains 36 words to his mother if the first 12 words cost $20 and each additional word cost 2$ per word how much did he pay ?
Answer:
(d) 60 kobo
Step-by-step explanation:
36 divided by 12 = 3
3 x 20 = 60
Hope this helps!
Calculate the sum of the first 50 terms in the sequence.
18, 21, 24, 27, ...
Answer:
hope this is correct
The sum of the first 50 terms in the sequence 18, 21, 24, 27, ... is 4575.
What is the sum of the sequence?The sum of the sequence can be calculated by the formula
[tex]S_n = n/2(2a +(n-1)d)[/tex]
where a is the first term, d is the common difference
To find the sum of the first 50 terms in the sequences: 18, 21, 24, 27, ...
[tex]S_n = n/2(2a +(n-1)d)[/tex]
here, a = 18
d = 21 - 18 = 3
n = 50
[tex]S_{50} = 50/2(2(18) +(50-1)3)\\S_{50} = 25(36+147)\\S_{50} = 4575[/tex]
Thus, the sum of the first 50 terms in the sequence is 4575.
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Which matrix represents the system of equations shown below?
8x-3y = 9
2x + 5y = -7
Answer:
The correct answer is D.
Step-by-step explanation:
hope it works out !!
Answer:
its A
Step-by-step explanation:
i just did it
Is 7 a factor of 56w - 7?
Answer:
yes it is
Step-by-step explanation:
Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. ... The prime factors of a number or an algebraic expression are those factors that are prime.
Numbers we can multiply together to get another number.
Example: 2 and 3 are factors of 6, because 2 × 3 = 6
A number can have MANY factors!
Example: What are the factors of 12?
• 3 × 4 = 12, so 3 and 4 are factors of 12
• 2 × 6 = 12, so 2 and 6 are also factors of 12
• and 1 × 12 = 12, so 1 and 12 are factors of 12 as well
So 1, 2, 3, 4, 6 and 12 are all factors of 12
And -1, -2, -3, -4, -6 and -12 also, because multiplying negatives makes a positive.
In Algebra, factors can be expressions like "x+3" etc
please mark brainliest :)
Answer:
56w-7 56/7= 8 -7/7=-1
Step-by-step explanation:
8w-1 answer here
Which of the following represents 1% of 300
•1
•3
•3/100
•30
Answer:
it's •3
Step-by-step explanation:
1/100 × 300/1 =3
100 into 300 is 3
then equal to 3/1
any number over one is it self
If the height is changed to 3, does this have the same effect on the volume as changing the radius to 1?
If the height is now 3, then the new volume is π units3.
If the radius is now 1, then the new volume is π units3.
Therefore, changing the height to half of its original value and changing the radius to half of its original value does the volume. Halving the height of the cone the volume, while halving the radius of the cone results in the volume.
Answer:
4, 2, not have the same effect on, halves, 1/4
Step-by-step explanation:
pleeeeeez mark brainliest
Halving the height of the cone halves the volume, while halving the radius of the cone results in 1/4 the volume.
How to find the volume of a cone?
We are given a right cone with;
radius = 2
height 6
volume is; V = ¹/₃π(2)²6 = 8π units³
If the height is now 3, then the new volume is;
¹/₃π(2)²3 = 4π units.
If the radius is now 1, then the new volume is;
¹/₃π(1)²6 = 2 units.
Therefore, changing the height to half of its original value and changing the radius to half of its original value does not have the same effect on the volume. Halving the height of the cone halves the volume, while halving the radius of the cone results in 1/4 the volume.
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The equation of a circle whose center is at (4, 0) and radius is length 2√(3) is
(x - 4)² + y² = 2√3
(x - 4)² + y² = 12
(x + 4)² + y² = 12
Answer:
B. (x - 4)² + y² = 12
Step-by-step explanation:
Rewrite in standard form to find the center (h,k) and radius r.
Answer:
B?
Step-by-step explanation:
