Answer:
m+n=54 and m=3n+8 is the system of equations that could be used to determine the price of each book.
Step-by-step explanation:
Given,
Total cost of maths book and novel = $54
Let,
Cost of maths book = m
Cost of novel = n
According to given statement;
m+n=54 Eqn 1
the price of the math textbook, m, is $8 more than 3 times the price of the novel
m = 3n+8 Eqn 2
m+n=54 and m=3n+8 is the system of equations that could be used to determine the price of each book.
Step-by-step explanation:
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A toy rocket is launched vertically upward from a 8 foot platform with an
initial velocity of 120 feet per second. Its height h at time t seconds after
launch is given by the equation h(t) = -16t^2 + 120t + 8. How many seconds
until the rocket is 40 feet? (There may be more than one answer)
A) 0.28
B) 0.94
C) 3.17
D) 4.62
E) 5.98
F) 6.44
G) 7.22
H) 8.17
Answer:
We get t= 7.22 and t=0.28
The correct options are Option A and Option G
Step-by-step explanation:
The height h of toy rocket at time t seconds after launch is given by the equation [tex]h(t) = -16t^2 + 120t + 8[/tex]
We need to find how many seconds until the rocket is 40 feet?
We are given height of rocket h(t) = 40 feet
and we need to find time t
Using the equation [tex]h(t) = -16t^2 + 120t + 8[/tex] we can find time t
We have h(t)=40
[tex]h(t) = -16t^2 + 120t + 8\\Put\:h(t)=40\\40= -16t^2 + 120t + 8\\16t^2-120t-8+40=0\\16t^2-120t+32=0[/tex]
Now, we will solve the quadratic equation using quadratic formula: [tex]t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a =16, b=-120 and c=32
Putting values and finding t
[tex]t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\t=\frac{-(-120)\pm\sqrt{(-120)^2-4(16)(32)}}{2(16)}\\t=\frac{120\pm\sqrt{14400-2048}}{32}\\t=\frac{120\pm\sqrt{12352}}{32}\\t=\frac{120\pm111.12}{32}\\t=\frac{120+111.12}{32}, t=\frac{120-111.12}{32}\\t=7.22\:,\:t=0.28[/tex]
So, we get t= 7.22 and t=0.28
The correct options are Option A and Option G
f(x) = -222 +7
Find f(-5)
Lets solve for d.
f(x) = - 222 + 7, Find f(-5)
Step 1.
-35df2 in -222 = fx
Step 2.
-35df2 in divided by -35df2 in = fx+222 divided by -35&2 in.
d = -fx-222 divided by 35f2 in
Answer:d= - fx-222
———-
35f2 in
What value of k will make the expressions equivalent?
A. -42
B. -34
C. 16
D. 114
Answer a
Step-by-step explanation:
Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be
less than 90°.
greater than 90°.
congruent to angle B.
congruent to angle C
Answer:
"less than 90°."
Step-by-step explanation:
This is because an obtuse triangle can be defined as "An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles." Therefore, there can only be ONE obtuse angle. Therefore, with the obtuse angle being at vertex B, there cannot be another one at vertex A.
Grant has $58 in a savings account. He plans on depositing $30 into the
account each month and not taking any money out of the account. Which
function rule will give the total amount T that he has in the account
after n months?
Answer
I believe it is the first answer
Step-by-step explanation:
You would have to multiply 30 by however many months he deposits money to find how much he has in he account at that time
Hope this helps
The function rule of the total amount T in the account after n months is
T = 30n + 58.
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount in the account = $58
Amount deposited each month = $30
The total amount after n months.
T = 58 + 30n
Thus,
The T = 30n + 58 is the total amount in the account after n months.
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The fraction bars represent which equation?
Answer:6
Step-by-step explanation:
Ree
A newspaper editor tracked the number of new subscribers to the newspaper each week in the table below.
What was the average rate of change in the number of new subscribers between weeks 4 and 6?
Answer:
The answer is 89
Step-by-step explanation:
You take 557 from the 6 weeks and subtract it with 379 from the 4th week.
557-379=178
178 divided by 2 equal 89.
89 is the answer.
Select the correct answer from each drop-down menu.
4
3
2
1
-65
3
1
2
3
4 5 6
-
-2
3
4
5
5
The point that is the reflection of Dacross the x-axis and the yaxis is point v. and the coordinates of this point are
reflection of point Lacross x-axis is point v. and the coordinates of this point are
. The
Deset
mentum. All rights reserved
Answer:
uh, this is very confusing....is there anyway that you could word it differently?
The radius of the Ferris wheel is shown. Which is the circumference of the Ferris
wheel, rounded to the nearest foot?
Answer:
C=250
Step-by-step explanation:
what do i point on the graph ?
Answer:
so there is a y and a x axis the x axis is on the bottem and the y axis is on the left
Help me please...thank you
Y-3 = -(x-2)
in slope intercept form. PLEASE SHOW THE WORK.
Answer:
Y = -x + 5
Step-by-step explanation:
Y - 3 = -(x-2) -distribute
y - 3 = -x + 2 -add 3
y = -x + 5
Hope this helps. Pls give brainliest.
Another car dealership sells a truck for the wholesale price of $12,000. During a special sales event, the dealership offers a 10% discount off of the price. After the discount, how much will a customer pay for this vehicle? Show your work.
Answer:
$10,800
Step-by-step explanation:
Given that:
Wholesale price of the truck = $12,000
At the special sales event, the discount offered on the price = 10% of the wholesale price
Therefore the discount can be calculated as follows:
10% of Wholesale price
Wholesale price is given as $12,000.
[tex]\Rightarrow \dfrac{10}{100} \times 12000\\\Rightarrow \bold{\$1200}[/tex]
Now, we have to find the price to be paid by customer after the discount being offered due to the special sales event.
Discounted price = Wholesale price - Discounted offered due to special sales event.
Discounted price = $12000 - $1200 = $10,800
Therefore, the answer is:
$10,800
the number of the axes of symmetry in an equilateral triangle
How many squares are in view on the front, side, and top?
There are
squares in view on the front. There are
squares in view on the side. There are
squares in view on the top.fill in the blanks.plz dont waste my points
Answer:
1. =18
2. =3
3. =10
4. =6
Step-by-step explanation:
Pretty sure I'm right
If f(x) = 3x + 2, what is f(5)?
Answer:
17
Step-by-step explanation:
f(x) is the same as y=. "What is f(5)" is the same as saying what is y=3x + 2 when x is 5.
Either way, you are going to replace x with is numerical value, which is 5, and then solve.
y = 3(5) + 2
y = 15 +2
y = 17
f(5) = 17
I will give out brainliest tell me the reason 2
NO SPAMMING IF U DO ILL REPORT U OFF BRAINLY
Ok
Answer:
D bc you keep going up by 60m/1hr
Step-by-step explanation:
late answer, for the people who came across it looking for the answer. its d! <3
A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 4
Answer:
Maybe figure 2
Step-by-step explanation:
If it is correct then
Plz plz mark me brainlist
Be happy
what is the reciprocal of 1/2
Can You Help Me With This Question
Answer:
Step-by-step explanation:
The product of the roots of 2x^2 - 7x + N = 0 is -5. Find N.
Let a and b be the roots of 2x² - 7x + N. Then
2x² - 7x + N = 2 (x - a) (x - b)
2x² - 7x + N = 2x² - 2 (a + b) x + 2ab
so that
2 (a + b) = 7
2ab = N
The product of the roots is ab = -5, so
N = 2 • (-5) = -10
Rewrite the sum of 75+18 as a product of a number and another sum
Answer:
(2)(9) + 75 = 75+18
Step-by-step explanation:
(2)(9) + 75 = 75+18
The expression written as a product of a number and another sum is 3(25 + 8)
Given the expression 75 + 18, we are to write as a product of a number and another sum.
First we need to find the GCF of 75 and 18
75 = 3 * 25
18 = 3 * 6
Since 3 is common to both D+GCF, we can factor it out from the expression to have:
75 + 18 = 3(25 + 8)
Hence the expression written as a product of a number and another sum is 3(25 + 8)
Learn more here: https://brainly.com/question/219464
A line passes through the point (4,5) and has a slope of -5/4
Write an equation in slope-intercept form for this line
1. If RU = 16, UT = 20, and SR = 16, what is the perimeter of SUT?
Figure:
Please answer ASAP!
Answer:
72
Step-by-step explanation:
If SR and RU have the same length, a right angle, and a shared side, we know that they are congruent triangles using SAS (Side Angle Side). Our equation to find the perimeter would be SR + RU + UT + TS or 16 + 16 + 20 + 20(using our knowledge of the congruent triangles) = 72.
The Perimeter of SUT is 72 units.
What is Pythagoras theorem?According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides.
Given:
RU = 16, UT = 20, and SR = 16
Now, Using Pythagoras theorem
UT² = RT² + RU²
20²= RT² + 16²
RT² = 400- 256
RT² = 144
RT= 12
And, ST=20
Now, Perimeter of SUT
= 16 + 16 + 20 +20
= 72
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Solve problem in photo 8th math
Answer:
31
Step-by-step explanation:
Answer:
31
Step-by-step explanation:
Anyone got an answer
also it doesn't gimme the option of making this 5pts :(
Answer:
Step-by-step explanation:
Each of the squares has trinomials that factor. x^2 - 14x + 49 = (x - 7)^2
When you take the square root (to get the side length) you get x - 7. So the length of each square is x - 7) = 0;..........x=7 That's the answer to a.
The answer to b is the same. The width =7
It's a square both sides have to be equal.
The length of the rectangle when the two squares are put together is 7 +7 = 14.
Answer: Question a = 7..... Question b = 7 ......... Question C = 14
plz help me asap plz i will mark you as brainlist
Answer:
$420
Step-by-step explanation:
130x12=1560
165x12=1980
1980-1560=420
Answer:
$420
Step-by-step explanation:
The last rate was $165, and the new one is $130. To find the difference, do this equation, 165-130=?. From that equation, you get $35. As you know, there are 12 months in a year, so you multiply $35 by 12 to get $420. There is your answer.
ndkfkfkfkvmvmkflflkclf
Answer:
sdhsjahdsjahdkjsa
Step-by-step explanation:
Which r-value suggests a weak positive correlation? A. r = 0.17454 B. r = −0.17454 C. r = 0.98264 D. r = −0.98264
Answer:
A.) r = 0.17454
Step-by-step explanation:
Got it right on my text
Answer:
A.) r = 0.17454
The distance between two points is 6√5. One endpoint is (4,−3). It is known that the y-coordinate of the other endpoint is 7.
What is the x-coordinate of this endpoint?