The sum of forty-five and a number n is 46.1, and the expression that can represent this can be written "45+n" where the value of n is 1.1
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The statement that is given to us is" the sum of forty-five and a number", therefore, the expression that will represent this can be written as,
45 + n,
Now, if the value of n is 1.1. Then the sum will be,
[tex]45+n\\\\=45+1.1\\\\=46.1[/tex]
Hence, the sum of forty-five and a number n is 46.1, and the expression that can represent this can be written "45+n" where the value of n is 1.1
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What are the solutions of the quadratic equation below ?
x^2-8x+11
Answer:
x = 4 ± [tex]\sqrt{5}[/tex]
Step-by-step explanation:
to find the solutions equate the quadratic to zero
x² - 8x + 11 = 0 ( subtract 11 from both sides )
x² - 8x = - 11
solve using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = - 11 + 16
(x - 4)² = 5 ( take square root of both sides )
x - 4 = ± [tex]\sqrt{5}[/tex] ( add 4 to both sides )
x = 4 ± [tex]\sqrt{5}[/tex]
Jamal plans to attend a 4-year private university. He will receive $8,200 in scholarships and grants each year, and he will earn $1,900 each year through a work study program.
Including his financial aid, what is Jamal’s estimated cost per year? $
Jamal’s family will contribute $21,000 each year. How much will Jamal need to contribute? $
Jamal has one year to save enough for his first year’s contributions. Complete each statement to show how much Jamal will need to save each month based on his current savings.
If Jamal currently has $0 in savings, he will need to save $
each month.
If Jamal currently has $1,000 in savings, he will need to save $
each month.
If Jamal currently has $2,000 in savings, he will need to save $
each month
Based on the scholarships and grants that Jamal will receive, his estimated cost per year is $25,050.
If his family contributes $21,000, he will have to contribute $4,050.
If Jamal has $0 in savings, the amount to save each month is $337.50.
If Jamal has $1,000 in savings, the amount to save each month is $254.17.
If Jamal has $2,000 in savings, the amount to save each month is $170.83.
What is Jamal's estimated cost?= Cost per year of private university - Scholarships - Work study program
= (25,100 + 8,000 + 1,300 + 750) - 8,200 - 1,900
= 35,150 - 8,200 - 1,900
= $25,050
What amount will he contribute if his family contributes?= Estimated cost - family contribution
= 25,050 - 21,000
= $4,050
What amount should Jamal save?The amount that Jamal should save monthly can be found as:
= (Amount to contribute - Amount already saved ) / Number of months in year
If Jamal has $0, he should save:
= (4,050 - 0) / 12
= $337.50
If Jamal has $1,000:
= (4,050 - 1,000) / 12
= $254.17
If Jamal has $2,000:
= (4,050 - 2,000) / 12
= $170.83
Find out more on the cost of college at https://brainly.com/question/9299811.
Select the correct answer. What is l-14l ? A. B. C. D. E.
Answer:
A
Step-by-step explanation:
4x-6y+3=0
please answer and show work ASAP!!!
Step-by-step explanation:
This question is not complete check well
Calculate the area of the shaded sector. PQ = 2.8 in
Answer:A= 21 cm2
= 3.25 in2
= 3 in2
Step-by-step explanation:
2.8 in = 7.112 cm
= 7 cm
A = [tex]\pi[/tex][tex]r^{2}[/tex] * [tex]\frac{49}{360}[/tex]
= 22/7*7*7*49/360
= 20.96
= 21 cm2
What is the approximate length of arc qr? round to the nearest tenth of a centimeter. 9.9 centimeters 19.9 centimeters 21.5 centimeters 43.0 centimeters
The length of the arc of the QR which is formed in a circle from center P will be equal to 9.9 cm.
What will be the Arc?The arc of the circle is defined as the product of the angle and the radius of the circle.
[tex]Arc=\theta \times r[/tex]
Now it is given in the question that
circle P, i.e. center is point P.
QS is a diameter with a length of 20 cm so radius =10 cm
Given that RP is the radius with
To find the length of arc QR =?
Now for finding the arc of QR we will find the angle [tex]\angle QPR[/tex] since we have the angle [tex]\angle RPS=123^o[/tex].
[tex]\angle QPR+\angle RPS=180[/tex]
[tex]\angle QPR+123=180[/tex]
[tex]\angle QPR=57^o[/tex]
[tex]\angle QPR=\dfrac{57\times\pi}{180} =0.99\ radian[/tex]
Now the formula for finding the arc will be given by
[tex]Arc \ (QR)=\angle QPR\times r[/tex]
[tex]Arc\ (QR)=0.99\times 10=9.9\ cm[/tex]
Thus the length of the arc of the QR which is formed in a circle from center P will be equal to 9.9 cm.
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The value of B is __
The value of a
Answer:
The value of B is 11 times the value of a.
Step-by-step explanation:
a =| 2 | 4 | 7 | 10 |
b =| 22 | 44 | 77 | 110 |
22 44 77 110
÷2 ÷4 ÷7 ÷10
--------- -------- ------- ---------
11 11 11 11
I hope this helps!
Answer:
see explanation
Step-by-step explanation:
from the table we can see that
the value of b is 11 times the value of a
Thank you please help me thank you please help me I am stuck on this problem and its really important.
Answer:
the order is 30,60,90,120
Step-by-step explanation:
its ten times 3 then u just keep adding the same amount every ten.
Solve using substitution.
–6x + 7y = –6
6x − 8y = 12
Answer:
Step-by-step explanation:
- 6x + 7y = - 6 ⇒ 6x = 7y + 6 ...... (1)
6x - 8y = 12 ........ (2)
(1) ------> (2)
( 7y + 6 ) - 8y = 12
- y + 6 = 12
y = - 6 ------> (1)
- 6x + 7( - 6 ) = - 6
6x = - 42 + 6
x = - 6
( - 6 , - 6 )
16x-24 in equivalent expression
Write an expression the represents the statement "Add 9 and 3, then multiply by 6"
PLEASE ANSWERRRR
15 point
Answer:
6(9+3)
Explanation:
Add 9 and 3 which is 9 + 3
THEN multiply by 6 which is 6(9 + 3)
I put parentheses because it's sayings to add first and then multiply!
what is the value of 30-2(7+2)-1
Answer:
48 :)
Step-by-step explanation:
Answer:
11 I'm pretty sure
Step-by-step explanation:
If a cup of coffee is 275 mL, what is the volume of 4 cups of coffee, in milliliters?
Answer:
1100 milliliters.
Step-by-step explanation:
First, separate the numbers 275, it will be 200, 70, and 5.
Second, multiply 4x200, it equals 800
Third, multiply 4x70, it equals 280
Fourth, multiply 4x5, it equals 20.
Fifth, add them all together one by one like 280+20=300, then add 280+800 which is 1100.
i suck at these so like…
x g(x)
-2 1/36
-1 1/6
0 1
1 6
2 36
~
absolute value negative 4
Answer:
4
Step-by-step explanation:
absolute value, if it's a negative number, will be positive. if it's a positive number, it will stay positive.
Answer:
My guess 4
Step-by-step explanation:
i used to do this stuff but i thinks its 4
Help me solve this problem, will give brainliest
Answer:
c
Step-by-step explanation:
chloe wants to ride her bicycle 34.1 miles this week. She has already ridden 14 miles if she rides for 3 more days, write and solve an equation which can be used to determin m, the avergae number of miles she would have to ride each day to meet her goal.
Step-by-step explanation:
I guess the meaning is that after 3 more days the week will be over, and she has to reach her goal by then.
x = the average number of miles to ride each of the 3 days
x = (34.1 - 14)/3
the solution is
x = 20.1/3 = 6.7 miles
Please guys I need this answer ASAP Two functions are shown below.
Function 1 y= -4/7x — 4
Which function is less steep and what is that slope?
A.
Function 1 and the slope is
-4/7
B.
Function 1 and the slope is
-4
C.
Function 2 and the slope is
-3/5
D.
Function 2 and the slope is
2
Function 1 and the slope is -4/7
=================================================
Explanation:
The slope of y = mx+b is m, which is the number to the left of x.
For function 1
y = (-4/7)x - 4
the slope here is m = -4/7 = -0.57 approximately
Let's use the slope formula to find the slope of function 2 given by the table of values.
Pick any two rows from that table. I'll pick the first two rows.
m = (y2-y1)/(x2 - x1)
m = (0.8 - 2)/(2 - 0)
m = -0.60
Comparing -0.57 and -0.60, we see that -0.57 is closer to zero on the number line. Meaning that function 1 has the less steep slope (i.e. more shallow slope). The further you go away from zero on the number line, in either direction, the slope will get steeper.
What is the percentage tax charged if a calculator which cost $4000 is sold for $5000 after tax ?
Answer:
25%
Step-by-step explanation:
find the differences between original price $4000 and the altered price $5000.
$5000 - $4000 = $1000
to find the tax percent charged, take the difference price, divide by the original price and multiply with 100, ( to find percentage, it is a must to multiply with 100 ).
1000/4000 x 100
= 25%
so you will get 25 %
You are making a canvas frame for a painting using stretcher bars. The rectangular painting will be 10 inches long and 8 inches wide. Using a ruler, how can you be certain that the corners of the frame are 90°
Answer:
make sure it’s acute
Step-by-step explanation:
since when you measure 90° the angle has to be acute
A swim team member performs a dive from a 14-foot high springboard. Her path is represented by the equation LaTeX: h\left(t\right)=-0.875t^2+5.25t+14h ( t ) = − 0.875 t 2 + 5.25 t + 14, where t is time in seconds and h is the height above the surface of the water. She needs to finish her flip no later than 5 feet above the surface of the water in order to prepare for the splash. What time does this happen? Round to the nearest tenth of a second.
Answer:
7.4secs
Step-by-step explanation:
If the path of a swim team member is modeled by the equation
h(t) = -0.875t²+5.25t+14
where t is time in seconds and h is the height above the surface of the water
If she need to finish in no later than 5feet above the surface, the expression will become:
-0.875t²+5.25t+14≤5
-0.875t²+5.25t+14-5≤0
-0.875t²+5.25t+9≤0
Rewriting using fraction
-7/8t²+21/9t+9≤0
To get the time that this happens we will need to factorize the resulting expression above;
On factorising
Find the roots of the equation using the formulas
t = 3+3√105/7
t = 3+ 3(10.25)/7
t = 3 + (30.75)/7
t = 3 + 4.393
t = 7.393
t = 7.4secs
Hence this happens at t = 7.4secs
Answer:
The time when the swim team member is 5 feet above the water surface is 7.4 seconds.
Step-by-step explanation:
You want to know when a member of the swim team finished his jump no later than 5 feet above the surface of the water to prepare for the splash, that is, when t is 5 feet above the surface of the water. Substituting h(t) for this value 5 in the equation you obtain:
5= -0.875*t²+5.25*t+14
A quadratic equation has the general form:
a*x² + b*x +c= 0
where a, b and c are known values and a cannot be 0.
Taking the equation 5= -0.875*t²+5.25*t+14 to that form, you get:
-0.875*t²+5.25*t+14-5=0
-0.875*t²+5.25*t+9=0
The roots of a quadratic equation are the values of the unknown that satisfy the equation. And solving a quadratic equation is finding the roots of the equation. For this you use the formula:
[tex]\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]
In this case, solving the equation is calculating the values of t, that is, you find the time when the swim team member is 5 feet above the water surface.
Being a= -0.875, b=5.25 and c= 9, then
[tex]\frac{-5.25+-\sqrt{5.25^{2}-4*(-0.875)*9 } }{2*(-0.875)}[/tex]
[tex]\frac{-5.25+-\sqrt{27.56+31.5 } }{-1.75}[/tex]
[tex]\frac{-5.25+-\sqrt{59.06 } }{-1.75}[/tex]
[tex]\frac{-5.25+-7.685}{-1.75}[/tex]
Then:
[tex]t1=\frac{-5.25+7.685}{-1.75}[/tex] and [tex]t2=\frac{-5.25-7.685}{-1.75}[/tex]
Solving for t1:
[tex]t1=\frac{2.435}{-1.75}[/tex]
t1= -1.39 ≅ -1.4
Solving for t2:
[tex]t2=\frac{-12.935}{-1.75}[/tex]
t2= 7.39 ≅ 7.4
Since time cannot be negative, the time when the swim team member is 5 feet above the water surface is 7.4 seconds.
Estimate. Include commas if the answer is made of more than three digits.
56 x 324.
Answer:
19,200
Step-by-step explanation:
round 56 to 60 and round 324 to 320 then multiply the two numbers
The radius of a circle is 3 5/12 inches
What is the diameter of the circle?
Answer:
6 5/6
Step-by-step explanation:
diameter is radius multiplied by 2
* means multiplied by
3 5/12 = 41/12
41/12 * 2 = 82/12 = 6 5/6
Answer: 6 5/12
Step-by-step explanation: i just took the k12 test and this is the corret answer
Which set of angles are complementary in this diagram?
Answer:
ECF and BCF (option 3)
Step-by-step explanation:
Complementary angles are angles that have degrees that add up to 90. From the picture, you can see that angle ECF and BCF put together form a right, or 90 degree angle, so that is your answer.
Hopefully this helps - let me know if you have any questions!
to make 1 dinner roll, 1/15 cups of flour is used. How much flour is used to make 48 dinner rolls?
For the right triangles below, find the values of the side lengths c and h.
Round your answers to the nearest tenth.
If a number is a perfect square, then it has only 3 factors.
TRUE OR FALSE
Answer:
False.
Step-by-step explanation:
Think of the number 12 which is 2 * 2 * 3.
Now square 12 to 144.
144 is a perfect square since it is the square of 12.
144 = 2 * 2 * 2 * 2 * 3 * 3
What are the factors of 144?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.
That is a lot more than 3 factors.
Use the Triangle Inequality to determine if it is possible to draw a triangle with sides: 16 ft, 17 ft, 20 ft
Answer:
It is possible.
Step-by-step explanation:
Since the shorter two sides (16 and 17 feet) added together are greater than the longest side(20 feet) it meets the triangle inequality theorem
The incenter of a triangle is the intersection point of the_____ bisectors
A) angle
B) midpoint
OC) circumcenter
D) perpendicular
Answer:
angle
Step-by-step explanation:
A N G L E
A N S W E R
For each value of w, determine whether it is a solution to w-38<11.
Answer:
No
Yes
No
Yes
Step-by-step explanation:
52-38<11
53-38<11
Both of these are no because they are greater than 11
Answer:
No
Yes
No
Yes
Step-by-step explanation:
put in the values instead of w and check if it is correct
[tex]52-38=14[/tex] which is not less than 11 so no
[tex]44-38=6[/tex] which is less than 11 so yes
[tex]53-38=15[/tex] which is not less than 11 so no
[tex]48-38=10[/tex] which is less than 11 so yes