Answer:
465
Step-by-step explanation:
The way I thought about it was I subtracted 30 from 15 and got 15. Then I subtracted 60 from 30 and got 20. My conclusion is you continue to add 5 more to what you added before. 15, 30, 60, 85, 115, 150, 190, 235, 285, 340, 400, 465.
Dan earns £367 over the course of a five-day week. How much is that per day?
Divide total by number of days:
367/5 = 73.40 per day
Find the sum of 4+3x and 5-4x+2x 2
Answer:
[tex]\huge\color{green}\boxed{\colorbox{black}{Answer ☘}}[/tex]
To find - sum of the given two terms.
[tex](4 + 3x) + (5 - 4x + 2x {}^{2} ) \\ 4 + 3x + 5 - 4x + 2x {}^{2} \\ = > 2x {}^{2} - x + 9[/tex]
—————————————————[tex]\color{purple}\boxed{\colorbox{black}{Additional Information♡}}[/tex]
Here ,we basically added the like terms together..
like, the terms ( 3x and -4x ) will be added together.. and the terms ( 4 and 5 ) will be added together...
since there's none other term having "x²" as the coefficient.. so 2x² will be left as it is!
hope helpful~
~ExhaustedZombieThe sum of the expression 4+3x and 5-4x+2x² is 2x² + 7x + 9
How to find sum of expressionsGiven:
4+3x
5-4x+2x²
Sum means addition of expressions(4+3x) + (5-4x+2x²)
= 4 + 3x + 5 - 4x + 2x²
= 2x² + 3x - 4x + 5 + 4
= 2x² + 7x + 9
Therefore, the sum of the expression is 2x² + 7x + 9
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A class has 6 boys and 14 girls. What is the ratio in simplest form that compares number of boys to total number of students?
A. 6:14
B. 6:20
C. 3:7
D. 3:10
The cost of an anti-virus software package is $65 for the first year and $10 for each annual renewal. If the independent variable is the number of annual renewals and the dependent variable is the total amount paid, what is the slope and y-intercept of the graph of the equation representing this situation?
Answer:
slope $10/renewaly-intercept $65Step-by-step explanation:
The slope is the cost of a renewal: $10.
The y-intercept is the initial cost: $65.
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a blue marble is 59. There are 45 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.
There are 20 red marbles
Since the probability of randomly choosing a blue marble is 5/9, then the probability of choosing a red marble will be:
= 1 - 5/9
= 4/9
If there are 45 marbles in total, the number of red marbles will be:
= 4/9 × 45
= 20
Therefore, there are 20 red marbles.
If cos(θ)= -2/3 and θ lies in quadrant II, find the value of cotθ
[tex]\text{Given that,}\\\\\cos \theta = - \dfrac 23\\\\\implies \cos^2 \theta = \dfrac 49\\\\\implies 1- \sin^2 \theta = \dfrac 49\\\\\implies \sin^2 \theta =1-\dfrac 49\\\\\implies \sin^2 \theta =\dfrac 59\\\\\\\text{Now,}\\\\\cot^2 \theta = \dfrac{\cos^2 \theta}{\sin^2 \theta} \\\\\\\implies \cot^2 \theta = \dfrac{\tfrac 49}{\tfrac 59}\\\\\\\implies \cot^2 \theta = \dfrac 49 \times \dfrac 95\\\\\\\implies \cot^2 \theta = \dfrac 45\\\\\\[/tex]
[tex]\implies \cot \theta = \pm\sqrt{\dfrac 45} = \pm \dfrac 2{\sqrt 5}\\\\\\\text{Since}~ \theta ~ \text{lies in the second quadrant,} \cot \theta ~\text{will be negative.}\\\\\text{Hence,}~ \cot \theta = - \dfrac{2}{\sqrt 5}[/tex]
Answer:
yysywywyyw7e7eueuuwuwuuwueu3u3
Which function represents the following graph? On a coordinate plane, a cubic function has an inflection point at (negative 3, 3) and crosses the x-axis at (0, 4. 5). Y = StartRoot x minus 3 EndRoot 3 y = StartRoot x 3 EndRoot 3 y = RootIndex 3 StartRoot x minus 3 EndRoot 3 y = RootIndex 3 StartRoot x 3 EndRoot 3.
The function represents the graph is (d) [tex]y = \sqrt[3]{x+3} + 3[/tex]
The points on the graph are given as:
[tex](x,y) = (-3,3)[/tex] --- the inflection point
[tex](x,y) = (0,4.5)[/tex] --- the y-intercept
The function that satisfy the above points is:
[tex]y = \sqrt[3]{x+3} + 3[/tex]
The proof is as follows:
At the inflection point, we have the x value to be -3.
So, the function becomes
[tex]y = \sqrt[3]{x+3} + 3[/tex]
[tex]y = \sqrt[3]{-3+3} + 3[/tex]
[tex]y = \sqrt[3]{0} + 3[/tex]
[tex]y = 0+ 3[/tex]
[tex]y = 3[/tex] ---- the y-value at the inflection point is true for x = -3
Also, at the y-intercept, we have the x-value to be 0
So, the function becomes
[tex]y = \sqrt[3]{x+3} + 3[/tex]
[tex]y = \sqrt[3]{0+3} + 3[/tex]
[tex]y = \sqrt[3]{3} + 3[/tex]
[tex]y = 1.45+ 3[/tex]
[tex]y = 4.45[/tex] ---- the y-value at the y-intercept is true for x = 0
Hence, the function represents the graph is (d) [tex]y = \sqrt[3]{x+3} + 3[/tex]
Read more about graphs and functions at:
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Answer:
D
Step-by-step explanation:
the average weight of 6 boys is 40 kg .Two boys weighing 40kg and 20kg left the group.Find the average weight of the remaining four boys
the average weight of 4boys 39.6 is Wight
Angela is following this recipe to make biscuits.
Angela uses 1.1 litres of syrup.
How much sugar is needed in kg?
Recipe: Makes 14 biscuits
110 g margarine
100 g sugar
275 ml syrup
200 g oats
50 g sultanas
Answer:
0.4 kg
Step-by-step explanation:
A proportion can be used to find the amount of sugar.
x/(1.1 L) = (0.1 kg)/(0.275 L)
x = (1.1)(0.1)/0.275 kg = 0.4 kg
Angela needs 0.4 kg of sugar for her biscuits.
Someone please help me with this question And you can get 20 points
[tex]\text{Consider the slope - intercept form} ~y = mx +c,\\\\ \text{where m is the slope and and c is the y-intercept.}\\\\(a) \\\\y = -\dfrac 12 x +8 \\\\\text{This is in a form of y = mx +c, so}\\\\\text{Slope, m =}-\dfrac 12 ~ \text{and}~ \text{y - intercept , c =8}\\\\(b)\\\\y = 9x -2 \\\\\text{This is in a form of y = mx +c, so}\\\\\text{Slope, m =9}~ \text{and}~ \text{y - intercept ,}~ c =-2\\\\[/tex]
Which functions are invertible
Select each correct answer
Answer:
the top two
Step-by-step explanation:
For a function to be invertible, it must pass the "horizontal line test." That is, there can be no horizontal line that will intersect the graph in more than one place. The bottom two graphs fail this test, so do not represent invertible functions.
The two top graphs show invertible functions.
Please quickly do number 12 & 13 I'll give brainliest.
Answer:
y=3.7x + 120.3, 180
Step-by-step explanation:
Add them into a graphing calculator and you get y=3.7x + 120.3
Put 16 in for x:
3.7 (16) + 120.3
59.2 + 120.3 = 179.5, rounds to 180
Evaluate the expression when a=-2 and x=7.
-2a+x
Step-by-step explanation:
-2a + x
Putting values of a = - 2 and x = 7
-2(-2) + 7
4 + 7
= 11
Apple + Orange = $20
Apple is twice the price of the orange
How much does the apple cost?
a
What is the image of the point (-9, -6) after a rotation of 90° tounterclockwise
about the origin?
Answer:
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
Pumpkins are used as decorations during the fall months.
3/4 of analisa's friends came to her birthday party. express this fraction as a percant and a decimal.
Answer:
0.75 And 75%
Step-by-step explanation:
If 3/4 came then 25, 50, 75, 100 what is the 3rd number of of those 4
I need help with this
Answer:
5 + 5 = 10
10 + 10 = 20
20 + 20 = 40
40 + 40 = 80
80 is the answer.
6 divided by 4 write your answer in a decimal form
Answer:
1.5
Step-by-step explanation:
Four goes into six once, then four goes into 20 5 times
Solve for x.
(x+16)
(4x-5)°
11
7
9
13
Answer:
4
3
+
5
9
2
−
8
0
Step-by-step explanation:
(X+2)(x+6)=0
In the problem shown, to conclude that x + 2 = 0 or x + 6 = 0, one must use the:
o zero product property
O division property
O transitive property
O multiplication property
Answer:
Zero-product property.
Step-by-step explanation:
[tex]\text{If}~ ab =0\\\\\text{then}~ a=0~ \text{or}~ b=0[/tex]
65,754.59 round it to the nearest tenth
Answer:
65,754.6
Step-by-step explanation:
When rounding, the last digit is number you need to observe. If the digit is less than 5 (4,3,2,1), then round down. If it is 5 or greater, then round up.
Which number is greater than 555,621,000? A. 5.0 x 10 B. 6.2 x 10 C. 5.55621 x 10 D. 9.99 x 10
Answer:
None of these
Step-by-step explanation:
None of these are correct because you would need to multiply 5 x 10 to a certain power. 5.55621 x 10 to the 8th power would do it.
Answer: I believe D is correct
Step-by-step explanation:
A scale drawing of AJ’s room shows the length as 5 cm and the width as 8 cm. Using a scale of 1 cm = 10 ft, find the area of the room.
Answer:
4000 sqft
Step-by-step explanation:
you multiply 5*10 which equals 50 then 8*10 which equals 80 then to find area you multiply 50*80 which equals 4000 sqft
levi is a salesperson who sells computers at an electronics store he makes a base pay of $60 each day and then is paid a $5 commission for every computer sale he makes make a table of values and then write an equation for p in terms of x representing Levi's total pay on a day on which he sells x computers
Answer:
equation : P(x) = 5x+60
Table :
If x (levi sells this many computers)
then y (levi makes this much money)
x : 0 ; 1 ; 2 ; 3 ; 4 ; 5 so on...
y : 60 ; 65 ; 70 ; 75 ; 80 ; 85 so on...
Step-by-step explanation:
This equation can be modeled by P(x) = 5x+60
P= levi's total pay
x = number of computers sold
This equation can be input into a graphing calculator to find a table of the corresponding x and y values for this equation. To solve without using a calculator, plug in a certain value for x in the equation and solve for y to get its corresponding value.
Can someone pls help I’m trying to solve for x
Answer:
x = 2.3
Step-by-step explanation:
x = 5*(13-12.54) = 2.3
Answer:
127.7
Step-by-step explanation:
you do 12.54 + 13 = 25.54
then 25.54 x 5 = 127.7
SOLVE
x + 3y = -1
y = x - 7
Write the solution below.
Answer:
x= 5 ........................ .......
Please help!
Can someone write out an explanation for how to simplify:
[tex](4x^{-4} )^{-3}[/tex]
I'm having trouble understanding it so a step by step would be helpful!
Mrs. Taylor bought 16⅓ yards of material. She used 5¾ yards. How much material does she have left? *
Answer:
10\frac{7}{12}
Step-by-step explanation:
First thing you want to do is find the common denominator for \frac{1}{3} and \frac{3}{4}. You do this by multiplying to denominators together, so 3*4=12.
Next, multiple the numerators with the opposite denominator. 1*4=4 and 3*3=9.
Now you are left with \frac{4][12] and \frac{9}{12}.
Add those back to your numbers
16\frac{4}{12} - 5\frac{9}{12} = 10\frac{7}{12}
Factorise fully 2ab^3+ 8a^2b
The factorization of the given expression is 2ab(b²+4a).
The given expression is 2ab³+8a²b.
What is factorization?A number's factors are those that divide into another number equally. A number is factorized when it is written as the sum of smaller numbers.
The given expression can be factorize as follows:
2ab³+8a²b
Here, 2ab is the common factor from both the terms, Take it out side the bracket.
That is, 2ab(b²+4a)
Therefore, the factorization of the given expression is 2ab(b²+4a).
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I really need help!!
Answer:
Red: y=4
Green: x=-1
Yellow: x=6
Blue: x=-2
Step-by-step explanation:
The lines are all passing through the Axis, so there is no slope for each line.