Answer
[tex]y=-3x+10[/tex]
This is the slope-intercept form.
Step-by-step explanation:
Sandra saves 9% of her salary for retirement this year salary was 1000 more than in her previous year and she saved $4050 what was your salary in the previous year
Answer:
$44,000
Step-by-step explanation:
The statement indicates that Sandra saves 9% of her salary and she saved $4,050 this year. That means that the 9% of her salary, x, is equal to $4,050. You can write the following:
x*0.09= 4,050
Now, you can isolate x to find her salary this year:
x=4,050/0.09= 45,000
Then, you have that this year salary was 1000 more than in her previous year. As you have found her salary for this year, you can subtract 1,000 from it to find her salary in the previous year:
45,000-1,000= 44,000
According to this, the answer is that her salary in the previous year was $44,000.
Help please!!!!! I hate this part of volume of pyramids :/
Answer:
h = 6 cm
Step-by-step explanation:
The volume (V) of a pyramid is calculated as
V = [tex]\frac{1}{3}[/tex] Ah ( A is the area of base and h the height )
Here A = 3 × 2 = 6 cm² and V = 12 , thus
[tex]\frac{1}{3}[/tex] × 6 × h = 12, that is
2h = 12 ( divide both sides by 2 )
h = 6 cm
Select the expression that is equivalent to 48 + 12.
Answer:
Where are the expressions?
Answer:
48+12=60
60÷2=30
your answer is 30+30
The mean temperature for the first 4 days in January was -7°C.
The mean temperature for the first 5 days in January was -6°C.
What was the temperature on the 5th day?
Answer:
the answer is -11
Step-by-step explanation:
yeah the answer is - 11
Preston signed up for overdraft protection at his bank. This bank charges an overdraft fee of $30 for insuffcient funds. Preston has a balance of $50. He then purchased a pair of tennis shoes using his bank debit card. If the total charge for the tennis shoes is $52, what will be Presont's new balance?
Answer:
-$32
Step-by-step explanation:
Given that
Overdraft fee = $30
Preston Balance = $50
Total expenditure = $52
As per the given question the solution of new balance is provided below:-
To reach the new balance of Presont's first we need to find out the overdraft balance which is as follows:-
Overdraft balance = Balance - Total expenditure
= $50 - $52
= -$2
Since there is a balance of $50 but Pretson purchased for $52 value that results -$2 overdraft balance. In order to determine the new balance we simply added the overdraft fee and overdraft balance which is shown in negative sign.
Now according to the question the New balance of Presont's = Overdraft balance - overdraft fee
= -$2 - $30
= -$32
Find c, yenvelope(x,t), and ycarrier(x,t). express your answer in terms of a, k1, k2, x, t, ω1, and ω2. separate the three parts of your response with commas. recall that yenvelope (the second term) varies slowly whereas ycarrier (the third term) varies quickly. both yenvelope and ycarrier should be trigonometric functions of unit amplitude.
Answer:
[tex]C,Y_{envelope}(x,t), Y_{carrier}(x,t)=2A, \cos ((k_1-k_2)x/2-(\omega_1 -\omega_2)t / 2 ) , \sin ((k_1+k_2)x / 2 - (\omega_1 +\omega_2)t / 2 )[/tex]
Step-by-step explanation:
Given
[tex]Y_1(x,t)=A \sin(K_1x- \omega _1 t)\\\\Y_2(x,t)=A \sin(K_2x- \omega _2 t)[/tex]
using a trigonometrical identity
sin p + sin q = 2 sin ( p+q/2) cos ( p-q/2)
and here the condition is
the choice is in between sinax and cosax
where a > b
so we get using above equation
[tex]C,Y_{envelope}(x,t), Y_{carrier}(x,t)=2A, \cos ((k_1-k_2)x/2-(\omega_1 -\omega_2)t / 2 ) , \sin ((k_1+k_2)x / 2 - (\omega_1 +\omega_2)t / 2 )[/tex]
Factor completely. 10x^3 + 2x^2 + 5x + 1
Answer:
(5x + 1)x(2x^2+1)
Step-by-step explanation:
Gia is painting her wall. 1 liter of paint can cover 10 square meters. She has a rectangular wall that
measures 4 meters by 5 meters.
How many liters of paint will Gia need to cover her wall
The quantity of paint will be 2 litres for 20 square meters area.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Gia is painting her wall. 1 litre of paint can cover 10 square meters. She has a rectangular wall that measures 4 meters by 5 meters.
The total area of the wall = 4 x 5 = 20 square meters
Paint for 10 square meters area = 1 litre
Paint for 20 square meters area = 1 x 2 = 2 liters
Therefore, the quantity of paint will be 2 litres for 20 square meters area.
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mia bought 10 boxes of brownies at the store for a total of $64. The tax on the purchase was $5. What was the cost of each box?
Which equation represents this scenario?
a. 10r + 5 + 64
b. 5(10r) = 64
c. 10r - 64 = 5
d. 5 - 10r = 64
Let r represent cost of each box.
We have been given that Mia bought 10 boxes of brownies. So cost of 10 boxes would be [tex]10r[/tex].
We have been given that Mia bought 10 boxes of brownies at the store for a total of $64. The tax on the purchase was $5. So the total cost of 10 boxes would be cost of 10 boxes plus tax.
We can represent this information in an equation as:
[tex]10r=64+5[/tex]
We can subtract 64 from both sides as:
[tex]10r-64=64-64+5[/tex]
[tex]10r-64=5[/tex]
Therefore, our required equation is [tex]10r-64=5[/tex] and option 'c' is the correct choice.
the trapezium is down on a centimetre grid find the area of the trapezium
Answer:
21 square cm
Step-by-step explanation:
[tex] b_1 = 9 \:cm, \: b_2 = 5 \:cm, \: h = 3\: cm\\
Area\: of\: trapezium\\
= \frac{1}{2} (b_1 +b_2)\times h\\\\
= \frac{1}{2} (9 +5)\times 3\\\\
= \frac{1}{2} \times 14 \times 3\\\\
= 7 \times 3\\\\
= 21 \: cm^2 [/tex]
What is the square root of 3/4•3
Answer:
1.5 is your answer
Step-by-step explanation:
Answer:
5.0625
Step-by-step explanation:
Please help please help me now
Answer:
<B=39.80
Step-by-step explanation:
tan(b)=5/6
b=[tex]tan^{-1}[/tex](5/6)
b=39.80557109
b=39.80 to the nearest hundredth.
Answer:
[tex] \angle B= 39.81\degree[/tex]
Step-by-step explanation:
[tex] \because \tan \angle B = \frac {AC}{BC} \\\\
\therefore \tan \angle B = \frac {5}{6} \\\\
\therefore \tan \angle B = 0.833333333\\
\therefore\angle B= \tan^{-1}(0.833333333)\\
\therefore\angle B= 39.805569965\degree \\
\huge \purple {\boxed {\therefore\angle B= 39.81\degree}} [/tex]
I need help ASAP please!!
△GHI ≅ △KLM what is the m∠KLM
Answer:
64°
Step-by-step explanation:
Both triangles represent a right angle by the small box in the angle.
Right angles = 90°
Since the triangles are congruent, then they would have the same measurements in their angles an sides. All triangles also have a sum of 180°. So, we can just subtract (26 + 90) from 180 to get the third angle.
180 - (26 + 90)
180 - 116
64
So, the m∠KLM is 64°.
The Zearn Fair charges $1.75 for entrance and $1.05 for each ride. Mr. Sawicki brings $20 with him to the fair. What is the greatest number of rides Mr. Sawicki can go on if he uses $2.50 for food? How much money can Mr. Sawicki spend in total
Step-by-step explanation:
So
Total money = 20
Entrance fee = 1.75
Food = 2.50
Ride = 1.05
Amount spend = 1.75 + 2.05 = 3.8
Left for rides = 20 - 3.8 = 16.2
So rides = 16.2 ÷ 1.05 = 15
I think atleast 15 rides
Solve: -(1/8)d -4 = -(3/8)
Answer:
d = -29
Step-by-step explanation:
-(1/8)d -4 = -(3/8)
Multiply everything by 8 to get rid of the fractions
8*-(1/8)d -4*8 = -(3/8)*8
-d -32 = -3
Add 32 to each side
-d+32 -32 = -3+32
-d = 29
Multiply everything by -1
d = -29
okay i got the first one down what about this one GUYS PLEASE HELP BECAUSE I HAVE TO BE SOMEWHERE AND IF I DONT GET THIS THEN I CANT GO PLEEEAASEE REEEEEEE
Answer:
6
Step-by-step explanation:
What is the sum of the first 5 terms of this geometric series? Use . -4 + 12 + (-36) + ⋯
Answer:
-244
Step-by-step explanation:
You are multiplying by -3.
-4+12+(-36)+108+(-324)= -244
if you are given the coordinates of a, b, c, and d, how could you prove that abcd is a rectangle? select all that apply
Answer:
A, C and D.Step-by-step explanation:
Remember that a rectangle is a quadrilateral which have its opposite sides equal and parallel, and all its internal angles are 90°. So, those are all the characteristics we need to demonstrate.
Additionally, the diagonals of a rectangle bisect each other.
Having said that, the choices A, C and D can help to demontrate that the figure is a rectangle.
You prove that abcd is a rectangle by the options A, Cand D.
We have given that figure ABCD
we have to determine that ABCD is a rectangle.
Remember that a rectangle is a quadrilateral which have its opposite sides equal and parallel, and all its internal angles are 90°.
So, those are all the characteristics we need to demonstrate.
What is the rectangle?A rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
Additionally, the diagonals of a rectangle bisect each other.
Having said that, choices A, C, and D can help to demonstrate that the figure is a rectangle.
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Can someone help me with this one plz?
What are the solutions to the equation x2 + 6 x = 40
Answer:
x=4 or x=-10
Step-by-step explanation:
x² + 6x = 40
x² + 6x - 40 = 40 - 40
x² + 6x - 40 = 0
Use quadratic formula:[tex]\frac{b-+\sqrt{b^{2} -4ac} }{2a}[/tex]
a=1 , b=6 , c= -40
[tex]\frac{-(6)-+\sqrt{6^{2} -4.1.(-40)} }{2.1}[/tex]
[tex]\frac{-(6)-+\sqrt{196} }{2.1}[/tex]
x=4 or x=-10
Hope this helps ^-^
If A2 = A, which matrix is matrix A?
Picture attached
Answer:
The first one and the third one.
Step-by-step explanation:
I did the Plato Math
Which of the following is equal to7 1/4?
Answer:
[tex]B. \sqrt[4]{7} [/tex]
[tex] {7}^{ \frac{1}{4} } = \sqrt[4]{7} [/tex]
Answer:
b
Step-by-step explanation:
teérrt
A set of cloth napkins costs $6.67. How much would it cost to buy 10 sets of cloth napkins?
Answer:
$66.70 for 10 sets
Step-by-step explanation:
Multiply the cost of 1 set by the number of sets wanted
$6.67 * 10
66.70 for 10 sets
Answer:
$66.70
Step-by-step explanation:
In order to figure out the cost of 10 sets of napkins, you have to multiply the cost of one set by 10.
Mae Ling earns a weekly salary of $335 plus a 5.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,200 worth of merchandise?
Answer:
Mae Ling earns a weekly salary of $335.
She also earns 5.0% commission on sales. If she sold 4200 worth of merchandise, she would get 4200 x 5/100 = 210$
Totally, she earns 335 + 210 = 545$
Hope this helps!
:)
Answer:
$545
Step-by-step explanation:
Commission is basically the percentage of the profit made that the salesperson gets to keep. The weekly salary is a fixed amount, so that won't change.
Here, Mae Ling sells $4200 worth of merch, which is the profit made, so the commission will be 5% of that:
5% * 4200
Remember that % is just "out of 100", so 5% = 5/100:
(5/100) * 4200 = $210
Add this to the salary:
335 + 210 = $545
She would make $545.
At a sale, dresses were sold for $140 each. If the dresses originally cost $200 each,
what percentage of its original price was a dress sold for?
Answer:
30%
Step-by-step explanation:
140 is 70% of 200 which means that the dresses were on sale by 30%
140/200 =
140 ÷ 200 =
0.7 =
0.7 × 100/100 =
0.7 × 100% =
(0.7 × 100)% =
70%;
Then subtract from 100% to get 30%
A circle is centered at T(-6,3)T(−6,3)T, left parenthesis, minus, 6, comma, 3, right parenthesis and has a radius of 111111.
Where does the point N(3,-3)N(3,−3)N, left parenthesis, 3, comma, minus, 3, right parenthesis lie?
Answer:
The point N lies inside the circle
Step-by-step explanation:
A circle is centered at the point T(-6,3) and has a radius of r=1.
To determine if the point N(3,-3) is inside or outside the circle, the distance between N and the point T must be lower than 11.
To calculate the distance between points T and N you use:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where x1 and y1 are the coordinates of T, and x2 and y2 the coordinates of N.
[tex]d=\sqrt{(3-(-6))^2+(-3-3)^2}=\sqrt{9^2+6^2}=10.81[/tex]
d < 11
The distance d is lower than the radius of the circle. Hence, the point N lies inside the circle
Here's a screenshot from Khan academy for your question!
Tyler is buying a chrome book which cost $89 the tax in his county is 3.75% how much will he pay for the chrome book including tax
Answer:
$122.375
Step-by-step explanation:
To find the total amount and tax, we need to multiply the original price by 1.375 in our case to get tax and the original price:
89×1.375=
$122.375
Write an expression to represent the following: Five more than the product of 9 and a number u
Answer:
9u+5
Step-by-step explanation:
Answer:
5(9+u)
Step-by-step explanation:
find the area of the shape below
Answer:
105 squared cm
Step-by-step explanation:
Area of the shape = area of rectangle with dimensions 6 cm by 9 cm + area of trapezoid with bases 6 cm, 11 cm and height 6 cm.
[tex] = 9 \times 6 + \frac{1}{2} (6 + 11) \times 6 \\ \\ = 54 + 17 \times 3 \\ = 54 + 51 \\ = 105 \: {cm}^{2} \\ [/tex]
2. Xander was given 10 cups of birdfeed to pour into four birdfeeders. He poured 2 cups of feed into
one feeder, 4 cups of feed into the second feeder, 2 cups of feed into the third feeder, and 1 cup into
the fourth feeder. He did not put birdfeed anywhere else. Which expression best represents the
amount of birdfeed leftover after Xander poured birdfeed into the four birdfeeders?
a. 10 +2 +4 +2+1
b. 2 + 4 + 2 +1-10
C. 4 - 10 +2 +2 +1
d. 10-2-4-2 - 1
Answer:
D.
Step-by-step explanation:
10 - 2 - 4 - 2 - 1 since he went to dump all those so you have to subtract them from the original amount.