Answer:
-5(t - 70) = -60
t - 70 = 12 -- Divide by -5
t = 82 -- Add 70
If HCF (6,x)n = 2 and LCM(6,x) = 60 , Find x^2+3x
Answer:
460Step-by-step explanation:
We know:
LCM(a, b) · HCF(a, b) = a · bWe have:
HCF(6, x) = 2 and LCM(6, x) = 60.
Substitute:
60 · 2 = 6 · x
120 = 6x divide both sides by 6
20 = x → x = 20
Substitute to x² + 3x:
20² + 3(20) = 400 + 60 = 460
Rachel, Adam, Michelle, Hannah, and James are going to the movies. They have $65 to spend on tickets and snacks. Each movie ticket costs $9.50, and each snack item costs $4.50. How many snacks can they buy to split among them? This problem is modeled by the inequality 5(9.5) + 4.5x ≤ 65, which is equal to 47.5 + 4.5x ≤ 65. The first step in solving the inequality is to . The second step is to . The five friends will have to split snacks.
Steps to solve:
47.5 + 4.5x ≤ 65
~Subtract 47.5 to both sides
4.5x ≤ 17.5
~Divide 4.5 to both sides
x ≤ 3.8888888889...
So, yes, the friends will have to share snacks.
Best of Luck!
Answer:
Rachel, Adam, Michelle, Hannah, and James are going to the movies. They have $65 to spend on tickets and snacks. Each movie ticket costs $9.50, and each snack item costs $4.50. How many snacks can they buy to split among them?
This problem is modeled by the inequality 5(9.5) + 4.5x ≤ 65, which is equal to 47.5 + 4.5x ≤ 65.
The first step in solving the inequality is to
✔ subtract 47.5 from both sides
.
The second step is to
✔ divide both sides by 4.5
.
The five friends will have to split
✔ 3
snacks.
Step-by-step explanation:
The Vance family is saving money to buy a new car that costs $12,000. They plan to save $715 per month (m), and they have already saved $645. Which of the following inequalities show the number of months (m) the Vance family could save in order to buy the new car? Select all that apply. A. 715m≥11,355 B. 715m≤11,355 C. 12,000≤715m+645 D. 12,645≤715m
Answer:
C. 12,000≤715m+645
Step-by-step explanation:
You want to have either equal to or more than 12,000
Answecr:
C
Step-by-step explanation:
Helppp!!!! please!!!
Answer:
b: 30 ft^2
Step-by-step explanation:
2yd = 6ft
6ft*5ft = 30ft^2
what is 25 (10 + 50) - 25?
Answer:
Hey there!
25(10+50)-25
25(60)-25
1500-25
1475
Hope this helps :)
Answer:
The answer is
1475Step-by-step explanation:
25 (10 + 50) - 25
Expand
250 + 1250 - 25
Simplify
We have the final answer as
1475
Hope this helps you
Find the common ratio of the geometric sequence 8,2,1/2
Answer:1/4
Step-by-step explanation:
Each term is multiplied by 1/4 to get to the next
Therefore 1/4 is the common ratio
Consider the following polynomial.
X^3 -6x^2 + 49x -294
Write the equivalent factored form of the polynomial. Fill in the expression with the values of a, b and where a is an integer and band
care complex numbers.
Answer:
The equivalent factored form of this equation is (x² + 49)(x - 6)
Step-by-step explanation:
x³ - 6x² + 49x - 294
First, group the first and second terms together and group the last two terms together.
(x³ - 6x²) + (49x - 294)
Find the greatest common factor of both parentheses and factor them.
x²(x - 6) + 49(x - 6)
Now, since the two terms in the parentheses are the same, then we have factored the equation correctly.
So, the factored form of the equation is (x² + 49)(x - 6)
Answer:(x-6)(x+7i)(x-7i)
Step-by-step explanation:
(x-6)(x^2+49)=(x-6)(x^2-(-49)
(x-6)(x^2-(7i)^2)
(x-6)(x+7i)(x-7i)
What is 25% of 84.
Help ASAP
Answer:
21
Step-by-step explanation:
[tex] \frac{25}{100} \times 84[/tex]
Answer:
21
Step-by-step explanation:
Drag each tile to the table to multiply each row heading by
each column heading.
Answer:
Hey there!
4t(5t)=20t^2
4t(-4)=-16t
5(5t)=20t
5(-4)=-20
Hope this helps :)
Step-by-step explanation:
This is just a matter of multiplication. 4t x 5t = [tex]20t^{2}[/tex], so that will be in your first box. 4t x -4 = -16t, so that'll be in your second box. 5 x 5t = 25t, so that will be in your bottom-first box, and 5 x -4 = -20, so that will be in your last one.
Janet has six candy bars she will split it into 2/3 size pieces. How many 2/3 size pieces will she get?
━━━━━━━☆☆━━━━━━━
▹ Answer
9 pieces
▹ Step-by-Step Explanation
6 ÷ 2/3 → 6 x 3/2
18/2 = 9
9 pieces
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: 9 2/3 size pieces
Step-by-step explanation:
Simply divide 6 by 2/3 to get 9.
The hypotenuse and a leg of a particular right triangle are $\sqrt{97}$ inches and 4 inches, respectively. The area of this triangle is what common fraction of a square foot?
Answer: 1/8
Step-by-step explanation:
Hypotenuse = √97
One leg = 4
By Pythagoras theorem, second leg² = (√97)² - 4²
= 97 - 16 = 81
So second leg = 9
Area of triangle = 4 x 9 / 2 = 18 sq inch
One sq foot = 144 sq inch
So required fraction = 18/144 = 1/8
Answer:
1/8
Step-by-step explanation:
Please answer this now in two minutes
Answer:
Step-by-step explanation:
The graph tells you it is -590, but you should check it out.
midpoint = (b + c)/2
b = - 600
c = - 580
midpoint = (- 600 + -580)/2
midpoint = - (1180)/2
midpoint = - 590
It is given that trapezoid EFGH is an isosceles trapezoid. We know that FE ≅ GH by the definition of
. The base angle theorem of isosceles trapezoids verifies that angle
is congruent to angle
. We also see that EH ≅ EH by the
property. Therefore, by
, we see that ΔFHE ≅ ΔGEH.
The solution is ΔFHE ≅ ΔGEH. [SAS], i.e. triangle FHE is similar to triangle GEH, by SAS rule.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
Given: An Isosceles trapezoid EFGH in which EF =GH
To prove: ΔFHE ≅ ΔGEH
Proof: In Isosceles trapezoid EFGH, Considering two triangles ΔFHE and ΔGEH
1. FE ≅ G H → [ Given]
2. ∠H = ∠E
→ Draw GM⊥HE and FN ⊥EH, and In Δ GMH and ΔFNE,
GH=FE [Given]
∠M+∠N=180°
so, GM║FN and GF║EH, So GFMN is a rectangle.]
∴ GM =FN [opposite sides of rectangle]
∠GMH = ∠FNE [ Each being 90°]
Δ GMH ≅ ΔFNE [ Right hand side congruency]
→∠H =∠E [CPCT]
→ Side EH is common i.e EH ≅ EH .
→ΔFHE ≅ ΔGEH. [SAS]
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2/3 - 5bx = bx + 1/3 In the equation shown above, b is a constant. For what value of b = NO SOLUTIONS? A. 5 B. 0 C. -5 D. 2/5
Answer:
B
Step-by-step explanation:
Here, we want to know at what values of b does the equation becomes not solvable
Now looking at the left hand side, we have;
2/(3-5bx) and also the right hand side bx + 1/3
For this expression if we insert b = 0, then automatically x cancels out on both sides of the equation and we shall be left with nothing to solve
Answer:
−5
Step-by-step explanation:
First, we observe that this is a linear equation.
A linear equation in one variable will have no solutions if the equation reduces to an equation of the form:
\blue a x+\red b=\blue c x + \red dax+b=cx+dstart color #6495ed, a, end color #6495ed, x, plus, start color #df0030, b, end color #df0030, equals, start color #6495ed, c, end color #6495ed, x, plus, start color #df0030, d, end color #df0030
where \blue a=\blue ca=cstart color #6495ed, a, end color #6495ed, equals, start color #6495ed, c, end color #6495ed and \red b\neq \red db
=dstart color #df0030, b, end color #df0030, does not equal, start color #df0030, d, end color #df0030.
In this case, the equation will reduce to the statement \red b=\red db=dstart color #df0030, b, end color #df0030, equals, start color #df0030, d, end color #df0030, which is not true for any value of xxx.
Hint #2
Since \red {\dfrac23}\neq \red {\dfrac13}
3
2
=
3
1
start color #df0030, start fraction, 2, divided by, 3, end fraction, end color #df0030, does not equal, start color #df0030, start fraction, 1, divided by, 3, end fraction, end color #df0030 , the equation will have no solutions if \blue b=\blue {-5}b=−5start color #6495ed, b, end color #6495ed, equals, start color #6495ed, minus, 5, end color #6495ed.
Let's check that this is the case. If we add \blue {5}{x}5xstart color #6495ed, 5, end color #6495ed, x to both sides, we get
\begin{aligned} \red{\dfrac23}\blue{-5}x&= \blue{-5} x+\red{\dfrac13}\\\\ \red{\dfrac23}\blue{-5}x+\blue5x&= \blue{-5}x+\blue{-5}x+\red{\dfrac13} \\\\ \red{\dfrac23}&=\red{\dfrac13} \end{aligned}
3
2
−5x
3
2
−5x+5x
3
2
=−5x+
3
1
=−5x+−5x+
3
1
=
3
1
which is not true for any value of xxx, so there are no solutions.
For all other values of b,b,b, comma there will be one solution.
Hint #3
If b=-5b=−5b, equals, minus, 5, the equation will have no solutions.
8. Solve for the given variable in the following equations. (4 marks total)
i’m confused on questions C) and D) I put it into Photomath and it came out with a bunch of weird and complicated letters and I’m only in grade 9 so I don’t think that’s the answer.
please solve C) and D) and check if I correctly solved A) and B) THANK YOU
Step-by-step explanation:
cV= π*r²*h
V/π = r²*h
v/(π*r²) = h
d[tex]\frac{x+y}{3}[/tex] = 5
x+y = 15
x = 15-y
which of the following is 2-dimesional and infinitely large
Answer:
Hey there!
Are there any options? If not, my answer would be a plane. A plane is 2 dimensional and infinitely large.
Hope this helps :)
What is an equation to a line parallel to the line on the graph that passes through (4,15)?
The equation to a line parallel to the line on the graph that passes through (4,15) is y = 3x + 3
How to find equation of a line?The equation of a line can be represented as follows;
y = mx + b
where
m = slopeb = y-interceptTherefore,
parallel line have the same slope
(5, 35)(10, 50)
m = 50 - 35 / 10 - 5 = 15 / 5 = 3
Hence,
(4, 15)
y = 3x + b
15 = 3(4) + b
15 - 12 = b
b = 3
Therefore, the equation to a line parallel to the line on the graph that passes through (4,15) is y = 3x + 3
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Need help solving. Prefer you show each step in solving.
Answer:
AB║CD and AD║BC
Step-by-step explanation:
By the property of a parallelogram,
" Consecutive angles of a parallelogram are supplementary"
In the figure attached,
∠DCB and ∠CDA are the supplementary angles. Therefore ABCD will be a parallelogram.
[Given: m(∠DCB) + m(∠CDA) = 180°]
And the pair of opposite sides of the parallelogram ABCD will be parallel.
AD║BC and AB║CD
Of the 500 U.S. states, 4 have names that start with the letter W, What percentage of U.S. states have names that start with the lette W
Answer:
8%
Step-by-step explanation:
4/50 = 0.08, which is 8%
If 500 is not a typo, then 4/500 = 0.008, which would be 0.8%
Answer: 8%
Step-by-step explanation: 4/50 = 0.08 Convert the decimal to a percentage. 0.08 = 8%
Which equation describes a parabola that opens left or right and whose
vertex is at the point (h, v)?
A. y = a(x - 1)2 + 1
B. x = aly - y)2 + h
C. x = aly - h)2 + V
O D. y = a(x - h)2 + V
Answer:
B. x = a(y - v)^2 + h
Step-by-step explanation:
The basic equation is ...
x = f(y)
x = y^2
To translate the vertex from (0, 0) to (h, v), we replace x with (x-h) and y with (y-v). Now, we have ...
x -h = (y -v)^2
To scale the graph horizontally by a factor of "a", we multiply the right side by "a":
x -h = a(y -v)^2
Adding h gives the form you want to compare to the answer list:
x = a(y -v)^2 +h
_____
The attachment shows an example for (h, v) = (4, 3).
Answer:
B
Step-by-step explanation:
Hopefully this helps :)
Erin buys 3 packs of potatoes costing £2 each, 4 packs of carrots for £2 per pack, and 4 turnips costing 90p each. If she pays with a £20 note, how much change would she get in pounds, £?
Answer: £2.4
Step-by-step explanation:
From the question, Erin buys 3 packs of potatoes costing £2 each, 4 packs of carrots for £2 per pack, and 4 turnips costing 90p each.
Total cost of potatoes = 3 × £2 = £6
Total cost of carrots = 4 × £2 = £8
Total cost of turnips = 4 × 90p = £360p = £3.6
The total cost of things bought by Erin will now be:
= £6 + £8 + £3.6
= £17.6
If she pays with a £20 note, she will collect a change of:
= £20 - £17.6
= £2.4
= 2 pounds, 40 pennies.
In the picture below, which lines are lines of symmetry for the figure?
Answer:
1 and 3
Step-by-step explanation:
The lines 1 and 3 divide the shape into 2 identical parts so they are axes of symmetry
The line of symmetry for the given figure is 1 and 3.
We need to find the line of symmetry for the given figure.
What is the line of symmetry?Line symmetry is a type of symmetry where one-half of the object reflects the other half of the object across the line.
In the given figure we can see line 1 and 3 divides the figure into two halves.
Therefore, the line of symmetry for the given figure is 1 and 3.
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Wing
Find the area of the
parallelogram:
3 cm
5 cm
4.5 cm
A= [?] cm
Answer:
13.5 cm^2Given,
Base(b)= 4.5 cm
Height(h)= 3 cm
Now,
Area of parallelogram= base * height
= 4.5 * 3
=13.5 cm^2
Hope this helps...
Good luck on your assignment...
Answer:
[tex]\boxed{\red{13.5 {cm}^{2} }}[/tex]
Step-by-step explanation:
[tex]\blue{area \: \: of \: \: a \: \: parallelogram} \\ \pink{= base \times height} \\ \green{= 4.5cm \times 3cm} \\ \purple{= 13.5 {cm}^{2} }[/tex]
find the ×-intersect of f(×)=(×+5)/(×+3)
a.-1
b.-4
c.-3
d.-5
Answer:
d. x=-5
Step-by-step explanation:
For the x intersect, f(x) needs to be 0.
Then the numerator must be zero (and the denominator may not be zero!).
For x+5 to be zero, x must be -5.
Please answer this in two minutes
Explanation:
Triangles HIG and FED are similar triangles. We know this because we have two pairs of angles that are congruent (angle G = angle D; angle I = angle E). Use the AA (angle angle) similarity theorem.
Since angles G and D are congruent, computing sin(D) is equivalent to finding sin(G)
sin(angle) = opposite/hypotenuse
sin(G) = IH/HG
sin(G) = 77/85
sin(D) = 77/85
help me again pleasee :(
Calculate the circumference of a circle that has a diameter of 9.2 cm
Answer:
Step-by-step explanation:
I don't say you must have to mark my and as brainliest but if it has really helped you plz don't forget to thank me....
Answer:
28.91 cmSolution,
Diameter(D)= 9.2 cm
Radius(r)= 9.2/2=4.6 cm
Now,
Circumference of circle:
[tex]2\pi \: r \\ = 2 \times \frac{22}{7} \times 4.6 \\ = 28.91 \: \: cm[/tex]
Hope this helps..
Good luck on your assignment..
if y=2x+7 were changed to y=5x+7, how would the graph of the new function compare with the origial
Answer:
The new line is steeper than the original, but still crossing the y=axis at 7 .
Step-by-step explanation:
Since what has changed from y = 2 x + 7 going into y = 5 x + 7 is the slope of the linear function, (from 2 to 5) what one would notice is that the new line is steeper - raising 5 units every one unit ste to the right- but would still be intersecting the y-axis at the point (0, 7), since the y-intercept has not changed.
The graph of a quadratic function is represented by the table.
Х
f(x)
6
-2
7
4
8
6
9
4
10
-2
What is the equation of the function in vertex form?
Substitute numerical values for a, h, and k.
Answer:
The equation of the function in vertex form is f(x) = -2·(x - 8)² + 6
Step-by-step explanation:
The given values are
x, f(x)
6, -2
7, 4
8, 6
9, 4
10, -2
The equation of the function in vertex form is given as follows;
f(x) = a × (x - h)² + k
To find the values of a, h, and k, we proceed as follows;
When x = 6, f(x) = -2
We have;
-2 = a × (6 - h)² + k = (h²-12·h+36)·a + k.............(1)
When x = 7, f(x) = 4
We have;
4 = a × ( 7- h)² + k = (h²-14·h+49)·a + k...........(2)
When x = 8, f(x) = 6...........(3)
We have;
6 = a × ( 8- h)² + k
When x = 9, f(x) = 4.
We have;
4 = a × ( 9- h)² + k ..........(4)
When x = 10, f(x) = -2...........(5)
We have;
-2 = a × ( 10- h)² + k
Subtract equation (1) from (2)
4-2 = a × ( 7- h)² + k - (a × (6 - h)² + k ) = 13·a - 2·a·h........(6)
Subtract equation (4) from (2)
a × ( 9- h)² + k - a × ( 7- h)² + k
32a -4ah = 0
4h = 32
h = 32/4 = 8
From equation (6) we have;
13·a - 2·a·8 = 6
-3a = 6
a = -2
From equation (1), we have;
-2 = -2 × ( 10- 8)² + k
-2 = -8 + k
k = 6
The equation of the function in vertex form is f(x) = -2·(x - 8)² + 6
Answer:
f(x) = -2(x - 8)² + 6
Step-by-step explanation:
I did the test.
Helppp!!!! please!!!
Answer:
A. Net
Step-by-step explanation:
Answer:
a. net
Step-by-step explanation:
The net of a 3D shape is how it looks unfolded. A net can easily be put back together.
Hope this helps! :)