Using a linear function, the statement that best describes when she advances to the next phase is: 75 + 3x > 90.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Considering that she already has 75 points, and earns 3 points for each correct answer, her score is modeled by the following function:
T = 75 + 3x.
She advances to the next phase if she scores over 90 points, hence the statement is:
T > 90
75 + 3x > 90.
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Answer:
c.3x+75>90
Step-by-step explanation:
Corrado has 27 books in his room that he has already read. He wants to give them away to his 3 younger siblings. How many books will each of Corrado's siblings receive? If b represents the number of books each sibling receives, which equation could be used to solve the problem?
Answer:
9 books each
Step-by-step explanation:
27/3=9....The perimeter of a rectangle is 64 feet. The length is two more than double the width. Find the dimensions of the rectangle.
Answer:
Length = 22 ; width = 10
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Perimeter = 64 feets
Length = 2 + (2*width)
Let :
Length = l ; width = w
Perimeter = 2((2 + (2w)) + w)
64 = 2(2 + 3w)
64 = 4 + 6w
64 - 4 = 6w
60 = 6w
w = 60/6
w = 10
Width = 10
Length = 2 + (2*width) = 2 + (2*10) = 2 + 20 = 22
Translate the following phrase into an expression:
“ the sum of an unknown number and 12”
Answer:
French: la somme d'un nombre inconnu et 12
Spanish: la suma de un número desconocido y 12
Latin: XII numerus ignotus est et summa
Step-by-step explanation:
x
Equivalent ratios
ord
Select two ratios that are equivalent to 4: 18.
Find the solution set of the inequality 4x -1 < 11.4x−1<11
Answer:
x<3
Step-by-step explanation:
4x -1 < 11
Add 1 to each side
4x -1+1 < 11+1
4x<12
Divide each side by 4
4x/4 <12/4
x<3
The average human fingernail grows at a rate of 3.47 millimeters per month. One millimeters = 0.1 centimeters. How much in centimeter, would the average human fingernail grown in one year?
Answer:
4.164 cm
Step-by-step explanation:
Given that:
Growth of an average human fingernail = 3.47 mm per month
One mm (millimeter) = 0.1 cm (centimeter)
To find:
Growth of an average human fingernail in one year = ?
Solution:
Here, we are given the growth for one month.
There are 12 months in an year, so growth over an year can be found by adding the growth of one month for 12 times.
Growth in one year = 3.47 mm + 3.47 mm+ ..... 12 times
Growth in one year = 12 \times 3.47 mm = 41.64 mm
In millimeters, the growth of an average human fingernail = 41.64 mm
Let us convert it into centimeters by multiplying it with 0.1.
Therefore growth in centimeters = 41.64 mm [tex]\times[/tex] 0.1 = 4.164 cm
Art mows 1 8 acre in 1 4 hour. How many acres does Art mow per hour?
Answer:He mows half an acre in one hour
Step-by-step explanation:
A country road has a section of road with grade of 9%. A car climbs up the slope road 18 feet above the flat road . What horizontal distance does the car travel?
Answer:
36
Step-by-step explanation:
Help ME PLSSS I WILL GIVE WHOEVER ANSWERS FIRST A BRAINLIEST!!
Mr. Mayhood had 4½ pounds of sand in a bucket. He put 2¾ pounds
of sand around his flower bed. How much sand did he have left in the
bucket?
Answer:
1 3/4 pounds.
Step-by-step explanation:
4 1/2 = 4 2/4
4 2/4 - 2 3/4 = 1 3/4
Answer:
1 [tex]\frac{3}{4}[/tex] pounds of sand is left in the bucket
Step-by-step explanation:
4.5 - 2.75 = 1.75 or 1 3/4
What is a part to whole ratio?
Answer:
a ratio that compares a selected number of parts. to the total number of parts in a whole.
Step-by-step explanation:
Sohan can do a piece of work in 10 days. He worked at it
for 5 days and then Mohan finished it in 5 days. In how
many days can sohan and morgan work together finish the
work?
Answer:
5 days
Step-by-step explanation:
Sohan can do the whole thing in 10 days
he worked 5 days so he did half
and Mohan did the other half in 5 days
so their speeds are same
so if they worked together they'd do it in half the time
i.e 5 days
Question 3 please help?!!!!
Answer:
First choice, 21/50
Step-by-step explanation:
16 + 9 + 22 + 26 + 15 + 12 = 100
Out of 100 tries, 16 times landed on 1 and 26 times landed on 4, added together is 42 times it landed on either a 4 or 1 out of 100
42/100, simplify it with 2, 21/50
1) a) Factorize: G(x) = (x+5)2 – 3x(x+5).
b) Solve G(x) = 0.
2) In the adjacent figure ABCD is a square:
a) Express the area of the square and the area
of triangle AEB in terms of x.
b) Calculate x so that the area of the square is equal
to 6 times the area of triangle AEB.
Answer:
In bold.
Step-by-step explanation:
a. (x+5)^2 – 3x(x+5) x+5 is common
= (x + 5)(x + 5 - 3x)
= (x + 5)(5 - 2x)
b. (x + 5)(5 - 2x) = 0
x = -5, 2.5.
2a. Area of the square = (x + 5)^2
Area of triangle AEB
= 1/2 * base * height
I am assuming that H is the centre of AB , so
Area = x*x
= x^2.
2b
6x^2 = (x + 5)^2
6x^2 = x^2 + 10x + 25
5x^2 - 10x - 25 = 0
x^2 - 2x - 5 = 0
x = [-(-2) +/- sqrt(2^2 - 4*1*-5)] / 2
x = -1.45, 3.45.
(we ignore the negative).
PLEASE HURRY!!!!!!!!
Jazmine can run 4 5/6 miles in 2/3 of an hour. How many miles can she run in 1 hour?
Answer:
d = 29/4 miles
That's as simple as you can get it unless you want 7 1/4 miles or 7.25 miles
Step-by-step explanation:
Answer:
7 1/4
Step-by-step explanation:
4 5/6 miles / 2/3 hour =
= 29/6 * 3/2 miles/hour
= (29 * 3)/(6 * 2) miles/hour
= 29/(2 * 2) miles/hour
= 29/4 mph = 7 1/4 mph
what 157423 x 104969
Answer:
16524534887
Step-by-step explanation:
Answer:
16524534887
Step-by-step explanation:
just multiply, takes a while but you can do it
or you can just use a calculator
Work out an approximate solution to x^3+2x-1=0 use the iteration...... Help please!!!!?????
Approximate solutions are the estimate values of an equation
The approximate solution of the equation is x = 0.45
How to determine the approximate solutionThe equation is given as:
[tex]x^3 + 2x- 1= 0[/tex]
The iteration is given as:
[tex]x_{n+1} = \frac{1}{x_n^2 + 2}[/tex]
To start with, we have:
[tex]x_1 = 1[/tex]
So, we have:
[tex]x_2 = \frac{1}{1^2 + 2} = \frac 13 =0.33333333[/tex]
The next iteration is:
[tex]x_3 = \frac{1}{0.33333333^2 + 2} = 0.47368421102[/tex]
The next iteration is:
[tex]x_4 = \frac{1}{0.47368421102^2 + 2} = 0.4495641344[/tex]
The next iteration is:
[tex]x_5 = \frac{1}{0.4495641344^2 + 2} = 0.45411035264[/tex]
The next iteration is:
[tex]x_6 = \frac{1}{0.45411035264^2 + 2} = 0.45326473189[/tex]
Notice that:
x5 and x6 have the same value to 2 decimal places.
i.e. [tex]x_5 \approx x_6 = 0.45[/tex]
Hence, the approximate solution of the equation is x = 0.45
Read more about approximate solutions at:
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Please explain how to solve it
Answer: [tex]\frac{8x^3}{27y^6}[/tex]
This is the fraction 8x^3 all over 27y^6
On a keyboard, we can write it as (8x^3)/(27y^6)
===========================================================
Explanation:
The exponent tells you how many copies of the base to multiply with itself.
We'll have three copies of [tex]\left(\frac{2x}{3y^2}\right)[/tex] multiplied with itself due to the cube exponent on the outside.
So,
[tex]\left(\frac{2x}{3y^2}\right)^3 = \left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2x*2x*2x}{(3y^2)*(3y^2)*(3y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{(2*2*2)*(x*x*x)}{(3*3*3)*(y^2*y^2*y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{9y^6}\\\\[/tex]
-------------------
Or another approach you could take is to cube each component of the fraction. The rule I'm referring to is [tex]\left(\frac{a}{b}\right)^c = \frac{a^c}{b^c}[/tex]
Applying that rule will lead to:
[tex]\left(\frac{2x}{3y^2}\right)^3 = \frac{(2x)^3}{(3y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2^3*x^3}{3^3*(y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^{2*3}}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^6}\\\\[/tex]
Either way you should get 8x^3 all over 27y^6 as one fraction.
Diagram 7 shows a regular hexagon UVWXYZ.
Diagram 7
Find the value of r.
.
A30°
B40°
С45°
D60°
Answer:
option d is the correct answer
Step-by-step explanation:
use formula for finding sum of all interior angles of regular polygon i.e. (n-2)×180 where n is no of sides of regular polygon then divide it by no. of sides of regular polygon to find measure of one angle of regular polygon and then subtract it from 180° to find the answer
What is the total cost of a $95.00 item with a sales tax of 6%?
Answer:
$100.7
Step-by-step explanation:
Total cost
= cost of item + amount of sales tax
= 95 + 6% of 95
= 95 + 0.06*95
= 95 + 5.7
= $100.7
Answer:
Since the sales tax is 6%, the object will cost 1.06 (100% + 6%) times the original value.
1.06 × $95.00 = $100.70
The object will cost $100.70.
Step-by-step explanation:
Credits to : Padoru
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0.75x - y = - 2.1
0.6y 2.4x +9
Answer:
4x-3
Step-by-step explanation:
Yea
The sum of x and 6.5 is 11.9. Find
he value of x.
Answer:
5.4
Step-by-step explanation:
Sum = 11.9
One decimal = 6/5
x = 11.9 - 6.5
= 5.4
Therefore x is 5.4 :)
Simplify: (5x2 - 9x + 3) + (4x2 + 4x - 12)
(1) 9x2 + 5x - 9
2) 9x2 - 5x + 15
3) 9x² - 5x-9
4) 9x2 - 13x - 9
Answer:
3) 9x² - 5x - 9
Step-by-step explanation:
Combine like terms
5x² - 9x + 3 + 4x² + 4x - 12 = 5x² + 4x² - 9x + 4x + 3 - 12
= 9x² - 5x - 9
The total cost to buy pizzas for Ms. Smith's holiday party can be found using the function C) = 10 +3.50, where x is the number of pizzas bought. If she wants to order at least 5 pizzas but not more than 9 pizzas for her class What is the range of the function for the above situation?
Answer:
1234
Step-by-step explanation:
There are 874 pieces of candy in the piñata. There are 23 children at the party, and they all agreed to split the candy equally. How many pieces of candy will each child receive?
Answer:
38 candies.
Step-by-step explanation:
Given the following data;
Total number of candy = 874
Total number of children = 23
Since we know that they are all sharing it equally, each child would get;
Each child = 874/23
Each child = 38 candies.
pls help work is due tonight i will give brainliest
Answer
the first one is the answer and none of the above
Step-by-step explanation:
Salma used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy: Two irregular quadrilaterals ABCD and EFGH are drawn. EFGH is the photocopy of design ABCD. AB measures 15 meters, DC measures 17 meters. No dimensions are shown on EFGH. The ratio of AD:EH is 1:2. What is the length, in meters, of side GH on the photocopied image? 15 17 30 34
Answer:
The answer is 34
Step-by-step explanation:
The ratio of AD:EH is 1:2, so therefore the other line segments have the same ratio. Using this logic, we see that DC is equal to 17 m, and we need to find GH. All we do now is double the measurement of DC since the ratio of the two shapes is 1:2.
Therefore, 17 * 2 = 34
Answer:
34
Step-by-step explanation:
hope this helps
How many terms are in this expression?
9+ 8d+b
Help... it’s multiple choice math
Answer:
D
Step-by-step explanation:
This is equivalent to t < 4.
clearly this is not part of the set.
If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?
-4
-2
2
4
Answer:
x = - 2
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x)
= x² - 2x + 6x + 4
= x² + 4x + 4
Equating to zero
x² + 4x + 4 = 0 ← left side is a perfect square
(x + 2)² = 0, thus
x + 2 = 0 ( subtract 2 from both sides )
x = - 2
Which interval on the graph could be described as linear constant?
A coordinate plane is shown. A line is horizontal from x equals 0 to 2, increases from 2 to 4, decreases from 4 to 5, and decreases at a slower rate from 5 to 8.
A
B
C
D
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation: