Answer:
55
Step-by-step explanation:
20 * 3 = 60
60 marks - 5 Incorrect answer (5 marks deducted)
55 Marks
78. How long will it take a car travelling at an
average speed of 40 mph to cover a distance of
304 miles?
Time = distance / speed
Time = 304 miles / 40 mph
Time = 7.6 hours ( 7 hours and 36 minutes)
Find two positive numbers whose difference is 30 and whose product is 2584.
Answer:
[tex]38[/tex] and [tex]68[/tex].
Step-by-step explanation:
Let [tex]x[/tex] be the smaller one of the two number.
[tex]x[/tex] must be a positive integer. The other number would be [tex](x + 30)[/tex].
The question states that the product of the two numbers is [tex]2584[/tex]. In other words:
[tex]x\, (x + 30) = 2584[/tex].
Rearrange this equation and solve for [tex]x[/tex]:
[tex]x^{2} + 30\, x - 2584 = 0[/tex].
The first root of this quadratic equation would be:
[tex]\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}[/tex].
Similarly, the second root of this quadratic equation would be:
[tex]\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}[/tex].
Since the question requires that both numbers should be positive, [tex]x > 0[/tex]. Therefore, only [tex]x = 38[/tex] is valid.
Hence, the two numbers would be [tex]38[/tex] and [tex](38 + 30)[/tex], which is [tex]68[/tex].
9514 1404 393
Answer:
38 and 68
Step-by-step explanation:
Let x represent the average of the two numbers. Then their product is ...
(x -15)(x +15) = 2584
x^2 = 2584 +225 = 2809 . . . . . . use relation (x -a)(x +a) = x^2 -a^2; add a^2
x = √2809 = 53
Then the two numbers are ...
53 +15 = 68
and
68 -30 = 38
The two numbers are 38 and 68.
_____
Additional comment
Solving the problem in this way is equivalent to writing the quadratic equation for the smallest (or largest) number and solving that by completing the square. The "solution" x = -53 is not relevant in this problem.
Which is better to buy? 4-foot piece of ribbon for $7.68 or 544-inch piece of ribbon for $65.28
Answer:
4 foot ribbon
Step-by-step explanation:
Answer:
544
Step-by-step explanation:
$7.68 x 540 = 4,147.2
How to numerically write five and eight then multiply by 4
Answer:
5 + 8 × 4
Assuming "five and eight" means 5 + 8
In Exercises 9-12 solve y=f(x) for x then find the input when output is 2 9. F(x)=x+5 10. F(x)=2x-3 11. F(x)= 1/4x -1 12. F(x)= 2/3x+4
Step-by-step explanation:
Q9 . y = x + 5
x= y-5
× the input
y the output
x= -3
Q10.
y = 2x -3
y+3 = 2x
x = (y+3) ÷ 2
× = 5/2
= 2.5
Q11.
y = 1/4x - 1
y+1 = 1/4 x
4y+4 = x
x = 12
Q 12 .
y = 2/3x + 4
y-4 = 2/3x
3(y-4) = 2x
x = 3(y-4)/2
x = -3
Simplify.
(If an answer is undefined, enter UNDEFINED.)
6/10
Answer:
3/5
Step-by-step explanation:
1.) Find the Greatest Common Factor of 6/10.
2
2.) Divide both the numerator and the denominator by the greatest common factor.
6÷2
10÷2
3.) Simplify 6÷2/10÷2
3/5
I have a question if anybody answers the reward is brainlist
Whats 0÷0
Answer:
0
Step-by-step explanation:
You can't divide anything by zero
0÷0=
=0
\lim_(x->0)(cos2x)^((3)/(x^(2)))
Answer:
ffffgggghhhuukufgnjsdhn
Answer:
∞
Step-by-step explanation:
since cos(0) = 1, you have 1/0
P(x) = x^4+ax^3-x^2+bx-12 has factors of (x-2) and (x+1). Solve the equation P(x)=0
Answer:
because P(x) has factors of (x-2) and (x+1) => x = 2 and x = -1 are the solutions of P(x)
so we have:
[tex]\left \{ {{2^{4}+2^{3}a-2^{2}+2b-12 =0} \atop {1-a-1-b-12=0}} \right.\\=>\left \{ {{8a+2b=0} \atop {a+b=-12}} \right.\\<=>\left \{ {{4a+b=0} \atop {a+b=-12}} \right.\\<=>\left \{ {{a=4} \atop {b=-16}} \right.[/tex]
=> [tex]P(x)=x^{4} + 4x^{3}-x^{2} -16x-12[/tex]
With P(x) = 0
=> [tex]x^{4}+4x^{3}-x^{2} -16x-12 = 0[/tex]
=> ........
Step-by-step explanation:
20+8
100+75
49+28
32+24
DRAG & DROP THE ANSWER
8(4+3)
25(3+4)
7(7+4)
4(5+2)
Answer:
give brainliest please I need it to level up
Step-by-step explanation:
20 + 8
4(5 + 2)
100 + 75
25(4 + 3)
49 + 28
7(7 + 4)
32 + 24
8(4 + 3)
Answer:
Ans; 8 +20 —> 4(2+5)
Ans; 75+100 —> 25(4+3)
Ans; 28+49 —> 7(4+7)
Ans; 24+32 —> 8(3+4)
I hope I helped you^_^
Find the distance between the pair of points.
N(-5. - 14), P(-5. - 3)
d=(Simplify your answer. Type an exact answer, using radicals as needed)
Answer:
78
Step-by-step explanation:show your work
If two rectangles have the same perimeter, do they have to be congruent?
Explain your thinking,
9514 1404 393
Answer:
no
Step-by-step explanation:
For the perimeter to be the same, the sum of side lengths must be the same. That does not mean the side lengths themselves must be the same.
A 4×4 rectangle (square) and a 5×3 rectangle have the same perimeter, but are not congruent.
Given that
()=2(−3)2−8
f
(
x
)
=
2
(
x
−
3
)
2
−
8
, determine the true statement.
The x intercepts of the graph of f(x) are (1,0) and (5,0).
Group of answer choices
The range of f(x) is
≥−8
y
≥
−
8
.
The graph of f(x) is decreasing from
(3,∞)
(
3
,
∞
)
.
The graph of f(x) has a maximum point at (3, -8).
The domain of f(x) is
≥3
x
≥
3
Equations are used to show the relationship between variables (usually x and y). The true statement about f(x) is that the range of f(x) is [tex]y \ge -8[/tex]
Given that:
[tex]f(x) = 2(x - 2)^2 - 8[/tex]
To identify the true statement, I will make use of graphical method.
See attachment for the graph of [tex]f(x) = 2(x - 2)^2 - 8[/tex]
From the attached graph, we can see that the graph as a minimum at:
[tex](x,y) = (2,-8)[/tex]
And it opens upward.
This implies that the minimum y-value of f(x) is at -8, and it has no maximum.
In other words, the range of the function is:
[tex]f(x) \ge -8[/tex]
Hence, the true statement is option (a):
The range of f(x) is [tex]y \ge -8[/tex]
Read more about equations at:
https://brainly.com/question/17995541
Help please will mark brainliest
Answer:
c no is correct pls mark me branilest
Answer:
(x, y) = (y, x). Exercise 1.3.4. Let X,Y,Z and W be nonempty sets. Then, prove the following statements
I need help! Really bad a math.
Answer:
12
Step-by-step explanation:
Substitute -18 into the equation
h(-18) = 15 +(-18)/6
h(-18)= 15 + (-2)
h(-18)= 15-2
h(18)=12
12 is the final answer
[tex]\\ \sf\longmapsto h(-18)[/tex]
[tex]\\ \sf\longmapsto 15+\dfrac{-18}{6}[/tex]
[tex]\\ \sf\longmapsto 15+(-3)[/tex]
[tex]\\ \sf\longmapsto 15-3[/tex]
[tex]\\ \sf\longmapsto 12[/tex]
What number should go in the empty boxes to complete the calculation for finding the product of 0.53 × 0.67?
(Hint: it is the same number. Input only one number in the blank.)
will give (brainlist)
Answer:
1st box: 1
2nd box: 1
Step-by-step explanation:
1: 3 * 7 = 21, so only put the 1 and carry the 2.
2: 5 * 6 = 30, but we have a 1 from the previous answer given so 31, but only put the 1.
I hope this helps :)
If AB= x+4, BC=2x-10, and AC=2x+1, then find the value for x
Answer:
[tex] \boxed{x = 7} [/tex]
Step-by-step explanation:
Given:
AB = x + 4BC = 2x – 10AC = 2x + 1We can illustrate this relationship as:
(2x + 1)
___↑___
| |
A — B — C
|____|___|
↓ ↓
(x + 4) (2x – 10)
_______________________________
When you are given an algebraic expression for the length of a segment, you can solve for that value by knowing that the sum of two segments AB + BC = AC.
Thus:
(x + 4) + (2x – 10) = (2x + 1)
[Regroup terms]
(x + 2x) + (4 – 10) = (2x + 1)
[Simplify]
(3x – 6) = (2x + 1)
[subtract 2x from both sides to isolate the variable]
(3x – 6) – 2x = (2x + 1) – 2x
[Regroup terms]
(3x – 2x) – 6 = (2x – 2x) + 1
x – 6 = 1
[Add 6 to both sides to isolate the constant]
x – 6 + 6 = 1 + 6
[Simplify]
x = 7
what does answer on her sceen mean? 9e+10
Answer:
19e
Step-by-step explanation:
write a decimal equivalent to the fraction
7/50
nfhfjfjfjfuvjgjgkfkfkfjfjgjgjgjgjgkgkgkgk
Answer:
0.14
n!
Use:
n 'k k!(n-k)!
to solve the combination.
After a band parent meeting, each of
the ten members shook hands with
each other once. How many
handshakes were there in all?
Hint: Remember that one handshake involves
two people.
[?] handshakes
can someone answer this please
edge2021
Answer:
Step-by-step explanation:
it apperes to me that all are rational numbers
Hope this helps
2 pluz 4 palese !!!!!!!!!!!
Answer:
6
Step-by-step explanation:
2+4=6
(1+1)+(1+1+1+1)=6
Ans: 6
What is the Gcf of 10 and 6?
The GCF of 10 and 6 is 2. May this will help you.
HELP ASAP: I WILL MARK BRAINLIEST SOMEONE PLEASE HELP!!
Answer:
Step-by-step explanation:
Please see the picture below
In December yanni’s chocolate shop received 180 telephone orders. In January they received only 72 telephone orders. By what percent did the number of telephone orders decrease from December to January
Answer:
Step-by-step explanation:
7-9-0-0-0-0-0-0-0-0-0-0-6-6-6-6--6-6-6-6-6-6-6-6-6-6-6-
Answer:
It is -80
Step-by-step explanation:
u just subtract
Walter car gets 41 miles per gallon. Walter is planning a vacation which is 372 miles away. How many gallons of gas will Walter use for this round trip?
if a + 1 by a is equal to 3 find the value of bracket a minus 1 by a bracket square
a+1 = 3
To find:(a - 1)^2
[tex] {a}^{2} - 2.a.b + {b}^{2} \\ \\ a - 2a + 1 \\ \\ 1 + 1 = 2[/tex]
So, the answer is 2Hope it help youA tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2 for g. Use 1000 kg/m3as the weight density of water.)
(A water tank shaped like a triangular prism is given. The base of the prism is at the top and a spout is located at the top of the tank. The dimensions of the tank are 9 meters long, 4 meters wide, and 4 meters deep. The spout is 3 meters long.)
Answer:
W = 1.06 MJ
Step-by-step explanation:
- We will use differential calculus to solve this problem.
- Make a differential volume of water in the tank with thickness dx. We see as we traverse up or down the differential volume of water the side length is always constant, hence, its always 8.
- As for the width of the part w we see that it varies as we move up and down the differential element. We will draw a rectangle whose base axis is x and vertical axis is y. we will find the equation of the slant line that comes out to be y = 0.5*x. And the width spans towards both of the sides its going to be 2*y = x.
COME ON HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP LOSING POINTSS HERE!!!!!
Answer:
The 1st one for the first pic and I'm not sure but c for the 2nd one
Answer:
a and c
Step-by-step explanation:
