Answer:
(Depending on the available answers) Allie has 37 quarters and 10 dimes.
Step-by-step explanation:
37 quarters add up to $9.25 (37 x 0.25 = 9.25). 10 dimes add up to $1 (10 x 0.10 = 1). 37 quarters and 10 dimes add up to $10.25. There are other ways you can divide $10.25 into quarters and dimes (such as 21 quarters and 50 dimes) but this is just one of them. I hope this helped, good luck on your test/work!
Suppose that Bob is paid two times his normal hourly rate for each hour worked in excess of 40 hours in a week. Last week
he earned $420 for 50 hours of work. What is his hourly wage?
Answer:
The answer is 7
because 40 times 7 is 280 then we double 7 to 14 because remember it says he paid 2 times his hourly rate after 40 hours so then we multipy 14 times 10 and it will give you 140 so then u add them to get his total of $420
Find the sum of natural number from 1 to 30
nth term of an arithemetic sequence 20,50,80,.......
write the algebric form
write the sequence of natural numbers term in the above sequence
Answer:
1. sum of term = 465
2. nth term of the AP = 30n - 10
Step-by-step explanation:
1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore
sum of term = n/2(a + l)
where
a = 1
l = last term = 30
n = number of term
sum of term = 30/2(1 + 30)
sum of term = 15(31)
sum of term = 465
2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......
The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;
a = 20
d = 30
nth term of an AP = a + (n - 1)d
nth term of an AP = 20 + (n - 1)30
nth term of an AP = 20 + 30n - 30
nth term of the AP = 30n - 10
The nth term formula can be used to find the next term progressively. where n = number of term
The sequence will be 20, 50, 80, 110, 140, 170, 200..............
if a circle has r3 what is the circumference
I REALLY NEED HELP MY DAD YELLED AT ME
Answer:
2/3
Step-by-step explanation:
f(x)=g(x)
-3x+4=2
Add 3x
3x+2=4
subtract 2
3x=2
divide by 3
x=2/3
Answer:
x= 2/3
Step-by-step explanation:
The value where f(x) = g(x) is where the two functions intersect
That would be at
f(x) = g(x)
-3x +4 = 2
Subtract 2 from each side
-3x = -2
x = 2/3
We know the y value. Substitute x into the equation
g(2/3) = 2
y = 2
The point is (2/3,2)
What is the solution to the system of the equation.Please help me.
Answer:
x=3, y=2
Step-by-step explanation:
since y =2x-4, we name it as equation I
and the second system as equation 2.
we substitute equation 1 into 2 and we have;
4x+3(2x-4)=18
4x+6x-12=18
10x=18+12
x= 30÷10
x=3.
now, substituting x=3 into the y equation , we have
y= 2(3)-4
y=2.
therefore, x=3, y=2.
...if I was to plot this I would use the equation intercepts. Some people might use the slope whichever is okay for you. but I like to use the intercepts...(x,y)
so first, to find the intercept of equation 1;
we have,
y=2x-4
we set x= 0 and we get .y=2(0)-4=-4, we have (0,-4)...x=0, y=-4 for intercept
we set y to 0 to get the intercept for x...
we have, 0=2x-4=2..we get (2,0)...x=2, y=0 for the second intercept.
we do same for the second equation...
4x+3y=18...
so when doing this set x to 0 to get y intercept that is (0,y) and set y= 0 to get the x intercept that is (x,0)... then you can plot the points on your graph...
the intercept of the two system after you've plotted it on your graph should give you the solution we have that is x=3, y=2.
Emanuel used the calculations below to find the product of the given fractions. (Three-fifths) (StartFraction 4 over 9 EndFraction) (Negative one-half) Step 1 StartFraction (3) (4) (negative 1) over (5) (9) (negative 2) EndFraction Step 2 StartFraction negative 12 over negative 90 EndFraction Step 3 StartFraction 12 over 90 EndFraction Step 4 StartFraction 2 over 15 EndFraction In which step did his first error occur? help asap
Answer:
Emanuel did a mistake in her first step.
Step-by-step explanation:
The given expression is
[tex]\left(\dfrac{3}{5}\right)\left(\dfrac{4}{9}\right)\left(-\dfrac{1}{2}\right)[/tex]
Emanuel solve this problem but she did a mistake in her first step. She distributes negative sign with 1 and 2 both which is incorrect. We can write negative sign with either 1 or 2 but not both.
Correct steps are:
Step 1:
[tex]\dfrac{(3)(4)(-1)}{(5)(9)(2)}[/tex]
Step 2:
[tex]\dfrac{-12}{90}[/tex]
Step 3:
[tex]-\dfrac{2}{15}[/tex]
Therefore, she did a mistake in her first step.
Answer:
a
Step-by-step explanation:
There are 20 wild pigs on an island and the number of pigs doubled each year for the past 5 years how would one describe the graph of this model
Answer:
There are 640 pigs after 5 years.
Step-by-step explanation:
if it doubles each year the first year it doubles it is 40 then the second 80 third 160 fourth 320 and fifth 640.
graph it by having the X axis the years and the Y axis do it by 40s
PLEASEEEE If z=-1-sqrt3i and z^6 = a+bi, then a=___ and b=___.
Answer:
a = 94
b = -66√3
Step-by-step explanation:
Given z = [tex]-1-i\sqrt{3}[/tex]
[tex]z^{6}=(z^{3})^{2}[/tex]
[tex](-1-i\sqrt{3})^6=[(-1-i\sqrt{3})^3]^2[/tex]
[tex]=[-(1+i\sqrt{3})^3]^{2}[/tex]
[tex]=[(1+i\sqrt{3})^3]^2[/tex]
[tex]=[(1)^3+(i\sqrt{3})^3+3(1)^2(i\sqrt{3})+3(1)(i\sqrt{3})^2]^2[/tex] [(a + b)³ = a³ + b³ + 3a²b + 3ab²]
= [1 + 3i² + 3i√3 + 9i²]²
= [1 - 3 + 3i√3 - 9]²
= [-11 + 3i√3]²
= (11)² -2(3i√3)(11) + (3i√3)²
= 121 - 66i√3 + 27i²
= 121 - 66i√3 - 27
= (94 - 66i√3)
Comparing it with (a + bi),
a = 94 and b = -66√3
In a survey, the ratio of the number of people who preferred tea to those who preferred coffee was 9:5
36 more people preferred tea to coffee.
How many people were in the survey?
Answer:
45 people prefered coffee, 81 people prefered tea. A total of 126 people were surveyed.
Step-by-step explanation:
Let t be the people who prefer tea, and let c be the people who prefer coffee.
The ratio between tea and coffee is 9:5, thus we have t/c=9/5. Cross products give us 5t=9c.
Also, we have 36 more people prefer tea than coffee, so we have c+36=t
Thus we have: 5(c+36)=9c
5c+180=9c
180=4c
c=45
c+36=t
45+36=81
At work Bret must check and record the internal temperature of the freezer on an hourly basis when working properly the temperature should remain constant over time.What word describes the slope of a line showing the temperature of the freezer as a function of time in hours when the freezer is working properly
Answer:
The slope of the line will be ZERO.
From the question given above, we are told that when the freezer is working perfectly that the temperature will remain constant over time. This means that if the graph of temperature and time is drawn, the slope of the graph will be constant from one point of the graph to the other, which means that the values will cancel each other out and will be zero.
Which graph shows the solutions to x^2+3x-1 ≥ 0
Answer:
if i'm not mistaken the answer is B
Answer:
Ans for the solution is B
Find the area of the circle R=6ft
Answer:
Area is 113.097
Step-by-step explanation:
Answer:
113.10 ft²
Step-by-step explanation:
Area of the circle is equal to πr².
Where r is the radius. The radius of the circle is 6 feet.
π(6)²
36π = 113.097336
The area of the circle is 113.10 ft² approximately.
Find the measure of angle P.
Answer:
80°
Step-by-step explanation:
Inscribed angle QRP is half the measure of intercepted arc QP, so is ...
∠R = 90°/2 = 45°
The sum of angles in a triangle is 180°, so angle P is ...
∠P = 180° -55° -45°
∠P = 80°
The sets of numbers 7,24,25 and 9,40,41 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain or show why they are Pythagorean triples. Be sure to show your work for each set of triples
Answer:
Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
7-24-25
7² + 24² = 25²
49 + 576 = 625
625 = 625
9-40-41
9² + 40² = 41²
81 + 1600 = 1681
1681 = 1681
Answer: See Explanation
Step-by-step explanation:
Pythagoras' theorem is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex].
So [tex]7^{2}[/tex] (49) + [tex]24^{2}[/tex] (576) = [tex]25^{2}[/tex] (625)
Same goes for the other one. It is always the smallest number squared (smallest side of triangle) + the middle number squared (middle length side of triangle, = the biggest side/number squared.
Stats question two way tables
Answer:
Step-by-step explanation:
Not liking rock mostly doesn't effect not liking just rap, since half like both rock and rap.
Though, there are 2 more people that like just rock compared to just rap, so you are more likely to like just rock.
Additionally, if you don't like rock, there is a 31.4 % that you don't like rap as well, since 17 people like neither.
SOMEONE HELP ASAP! IM STUCKKKKKK
Answer: B) increasing for x < -4/3 and x > 4/3
decreasing for -4/3 < x < 4/3
Step-by-step explanation:
Graph the equation and follow the curve from left to right. If you are going up, it is increasing. If you are going down, it is decreasing.
Refer to the image below. Red is increasing. Blue is decreasing.
The vertices are at: x = -4/3 and x = 4/3
ALL THE POINTS!! (01.01 LC) What is the rational number equivalent to 3 point 12 with a bar over 12? (1 point) 3 and 4 over 33 3 and 8 over 33 3 and 10 over 39 3 and 5 over 39
Answer:
A is the answer
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Can someone please help……
Answer:
first option
Step-by-step explanation:
I don't know how to explain
Help please only if u know wat u doing
Answer:
the first one is 6^10
the 2nd one is also 6^10
Step-by-step explanation:
Answer:
[tex]6^{10}[/tex]
Step-by-step explanation:
Any number to the power of zero becomes 1. Any number times 1 is itself.
How many squares are in the image
Answer:
32
Step-by-step explanation:
k
Answer:
hope this helps, take care, stay safe, keep smiling
Step-by-step explanation:
i see 40 squares
Find the area. Use Pi = 3.14 a. 15.1976 cm2 c. 13.816 cm2 b. 6.908 cm2 d. 60.7904 cm2
Answer:
A.
Step-by-step explanation:
Diameter = 4.4 cm
Radius = 2.2 cm
Now
Area of the circle = πr²
= (3.14)(2.2)²
= (3.14)(4.84)
= 15.1976 cm²
Answer:
A.
Step-by-step explanation:
D=4.4, therefore, the Radius is equal to 2.2, half of the diameter.
The formula for Area:
A=pir^2.
A=(3.14)(2.2)^2
A=(3.14)(4.84)
A=15.1976
A=15.1976, which is identical to option A.
The work accomplished by two people working on
the same task for the same amount of time but at
different rates is given by the equation w = riturit.
When solving this equation for t, which of the
following steps would not be algebraically
correct?
W-r1t = r2t
w = t(r1+ r2)
w= r1r2t
Answer:
w = r1r2t is the correct answer which would be the letter C. This is the one that is not algebraically correct.
Step-by-step explanation:
When solving this equation for t the step w= r₁r₂t would not be algebraically correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The following are the basic principles and steps to summarize any linear algebra statement:
Erase all packaging symbols, such as parenthesis and parenthesis, by dividing factors.
Using the exponent rule, grouping can be rule out if the words contain decimals.
To merge words, omit or add similar pictures.
It is given that,
The work accomplished by two people working on the same task for the same amount of time but at different rates is given by the equation,
w=r₁t+r₂t
Taking t common,
w=(r₁+r₂)t
Rearrange the equation as
t=w / (r₁+r₂)
Thus, when solving this equation for t the step w= r₁r₂t would not be algebraically correct.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
find CD
CD = [? ]
please help??
Answer:
7
Step-by-step explanation:
CD is congruent to BC by CPCTC.
The orbital period, P, of a planet and the planet's distance from the sun, a, in astronomical units is related by the formula P = a Superscript three-halves. If Saturn's orbital period is 29.5 years, what is its distance from the sun?
Answer:
a for saturn is 9.55 astronomical units
Step-by-step explanation:
Here, we are interested in calculating the distance from the sun.
Mathematically, from the question;
P = a^3/2
29.5 = a^3/2
a = 29.5^2/3
a = [3√(29.5)]^2
a = 9.55 in astronomical units
Answer:
a) 9.5 AU
Step-by-step explanation:
on edge
Select the best estimate for the diameter of a dinner plate. A. 25 mm B. 25 cm C. 2,500 mm D. 25 m
Answer:
the best estimate is 25 cm
Step-by-step explanation:
the best estimate is 25 cm
because A would be too small
C too long
D way too much
Answer:
C ) 25 is your answer
Step-by-step explanation:
the other answers are unreasonable and don't make
sense so this is your best estimate.
Let PQR be a triangle such that angle P = angle Q + angle R. Among all three exterior angles of triangle PQR, what is the smallest exterior angle, in degrees?
Answer:
The smaller exterior angle is the exterior angle in the vertex P, and it measures 90°
Step-by-step explanation:
The sum of the internal angles of a triangle needs to be 180 degrees, so we have two equations:
[tex]mP = mQ + mR[/tex]
[tex]mP + mQ + mR = 180\°[/tex]
Substituting [tex]mQ + mR[/tex] by [tex]mP[/tex] in the second equation, we have:
[tex]mP + mP = 180\°[/tex]
[tex]mP = 90\°[/tex]
The other two angles need to be lesser than mP, and the exterior angle is the supplement of the internal angle, so the bigger the internal angle, the smaller the exterior angle.
So if the bigger internal angle in this triangle is mP, the smaller exterior angle is also the angle in the vertex P:
[tex]exteriorP = 180\° - mP[/tex]
[tex]exteriorP = 90\°[/tex]
On January 1, 2009, Caitlyn owed $16,512 to her friend Miguel, who was kind enough not to charge Caitlyn any interest. Each month during 2009, Caitlyn paid Miguel some of the money she owed. If Caitlyn still owed Miguel $6,144 on January 1, 2010, what was the average amount of Caitlyn's monthly payments?
Answer:
864
Step-by-step explanation:
Im not for sure i am correct but i did 16,512- 6,144 which gave me 10,368, i then took that number and divided it by 12, for the months between 01/01/09 and 01/01/10, and gave me 864
could any one explain this problem?
Answer:
C
Step-by-step explanation:
Δ AQP and Δ ACB are similar triangles, thus the ratios of corresponding sides are equal, that is
[tex]\frac{AQ}{AC}[/tex] = [tex]\frac{PQ}{BC}[/tex] ( note that AC = 3 + 6 = 9 ), substitute values
[tex]\frac{3}{9}[/tex] = [tex]\frac{4.5}{BC}[/tex] ( cross- multiply )
3BC = 40.5 ( divide both sides by 3 )
BC = 13,5 cm → C
I need help ASAP snsbdbdbdbdbbffb
Answer:
a) 2 -2 -4 -4 -2 2 8
b) graph B
c) x = -2.55 or x=1.55
Step-by-step explanation:
a) just fill in the x values
b) look at x=0, you'll find y=-4. Only graph B goes through (0, -4)
c) estimate where graph B passes through the x axis.
M is the midpoint of AB¯. Find the coordinates of B given A(–2, 1) and M(4, 3).
Answer:
B (10, 5)
Step-by-step explanation:
We simply set the midpoint equal to each of its respective variable equation in [tex]m = (\frac{x1+x2}{2},\frac{y1+y2}{2} )[/tex]
Step 1: Solve x
4 = (-2 + x)/2
8 = -2 + x
x = 10
Step 2: Solve y
3 = (1 + y)/2
6 = 1 + y
y = 5
Put it in coordinates and we have our final answer!
Answer:
B(10,5)
Step-by-step explanation:
You already have A and M so you just find the difference and add it to M. That is my way of getting the answer. I am taking the Honors Geometry class in 6th grade.