Answer:
3x=50-10y
Got it right on edge
The correct equation to find the number of each type of weight Bob has,
⇒ 3x = 50 - 10y
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lb.
Let x represents the number of 3 lb weights and y represents the number of 10 lb weights.
Hence, The correct equation to find the number of each type of weight Bob has,
⇒ 3x + 10y = 50
⇒ 3x = 50 - 10y
Thus, The correct equation to find the number of each type of weight Bob has,
⇒ 3x = 50 - 10y
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Explain how to estimate the quotient using compatible numbers. 27 and two-thirds divided by 3 and StartFraction 9 over 10
Answer:
Step-by-step explanation:
Given:
27 + 2/3 ÷ 3 + 9/10
In division, compatible numbers are numbers that can be divided mentally.
27 + 2/3 ÷ 3 + 9/10
27 + 0.67 ÷ 3 + 0.9
27.67 ÷ 3.9
= 7.0948717948717
Approximately
= 7
But, alternatively
27.67 ÷ 3.9
27.67 is closer to 28
3.9 is closer to 4
Therefore,
28 ÷ 4
= 7
The quotient of 27 + 2/3 ÷ 3 + 9/10 using compatible numbers is around 7
Answer:
The first fraction is between 27 and 28, closer to 28. The second fraction is between 3 and 4, closer to 4. Compatible numbers in division are numbers that can be divided mentally. 28 divided by 4 is 7. The quotient will be around 7.
Step-by-step explanation:
Determine the measure of segment QV
Answer:
QV = 4x-1
Step-by-step explanation:
1) segments RS and RQ are equivalent
2) segments SV and QV meet at the same point, and start from opposite sides of segment SQ
so the length of QV would be equal to the length of SV.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
If x+2 is a factor of x^3-6x^2-11x+k then k=
Answer:
k=10
Step-by-step explanation:
Brainliest please~
Answer:
K=10
Step-by-step explanation:
Correct on Plato
In circle G with m<FJH=31° , Find the angle measure of minor arc FH
Answer:
62°
Step-by-step explanation:
Inscribed Angle Theorem
Inscribed angles measures are 1/2 of the arc they create.
m∠FJH x 2 = arc FH
Just take the 31° and double it.
Part B
Question
Type the correct answer in the box.
The y-intercept of the parent function, f(x), is
I
The y-intercept of the child function, g(x), is
Answer:
The y-intercept of the parent function, f(x), is 0
The y-intercept of the child function, g(x), is 7
Step-by-step explanation:
Since the parent function passes through the origin, its y-intercept is 0. Once the function is translated 7 units up, its y-intercept is 7.
The solution is :
Vertex is (-2, 0)
y-intercept is 4.
What is vertex?In geometry, a vertex is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices.
here, we have,
to find the function translated 2 units left, we just need to substitute the 'x' in the equation by 'x+2':
f(x) = (x+2)^2 = x2 + 4x + 4
Then, to find the vertex, we can use the formula:
x_v = -b / 2a
x_v = -4 / 2 = -2
Now, finding the y_vertex, we have:
f(x_v) = (-2)^2 + 4*(-2) + 4 = 0
So the vertex is (-2, 0)
To find the y-intercept, we make x = 0 and then find f(x):
f(0) = 0 + 0 + 4 = 4
So the y-intercept is 4.
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complete question:
Identify the vertex and y-intercept of the graph of the function translated 2 units left from the parent function f(x) = x².
vertex: ( ? , ? )
y-intercept: ?
If p =(3x+1) and q = ( 3x-1),show that : pq+1 =x2
Answer:
See explanation
Step-by-step explanation:
It should be 9x² not x²
p = (3x + 1) and q = (3x - 1)
pq + 1 = (3x + 1)(3x - 1) + 1
= (9x² - 3x + 3x - 1) + 1
= (9x² - 1) + 1
= 9x² - 1 + 1
= 9x²
Therefore,
pq + 1 = 9x²
4 1/4 inches long + 2 1/2 inches wide
Explain why 51 is not a prime number
Step-by-step explanation:
51 is not a prime number because it is divisible by 1,3 and 17
and we know prime number are only those number who arenot divisible by any other number except 1
Answer:
57 is divisible by 1,3,19 and 57
Step-by-step explanation:
A prime number is a number that is divisible only by 1 and itself; and 57 is not among the numbers like 2,3,5,7,11 etc
Please help!! Thank you!
Answer:
[tex]\text{As }x\rightarrow \infty, f(x)\rightarrow -\infty,\\\text{As }x\rightarrow -\infty, f(x)\rightarrow -\infty[/tex]
Step-by-step explanation:
This question is asking for the function's end behavior. An even degree power function with a negative leading coefficient forms a parabola concave down. This means, its vertex represents the maximum and the parabola opens downward (towards negative infinity).
Thus,
[tex]\lim_{x\rightarrow \infty}f(x)=-\infty,\\\lim_{x\rightarrow-\infty}f(x)=-\infty[/tex]
This corresponds with the first answer choice listed:
[tex]\text{As }x\rightarrow \infty, f(x)\rightarrow -\infty,\\\text{As }x\rightarrow -\infty, f(x)\rightarrow -\infty[/tex]
Meghan and her sister are going ice skating. It costs $7.25 per person plus $4 for each person's skate rental. Meghan has her own ice skates. But her sister needs to rent them. Meghan gives the cashier $20 for their admission and her sister's skate rental. How much change should she receive?
Answer:
the total amount of change she should receive is $1.50
Step-by-step explanation:
$7.25+$7.25= $14.50
$20.00-$14.50=$5.50
$5.50-$4.00= $1.50
Anyone know the answer?
Answer:
A. CentroidStep-by-step explanation:
The centroid of a triangle is the point where the three medians coincide.
Here,
The three medians coincide at point Z so it's the centroid
When a boy stands on the bank of a river and looks across to the other bank, the angle of depression is 12°. If he climbs to the top of a 10 ft tree and looks across to other bank, the angle of depression is 15°. What is the distance from the first position of the boy to the other bank of the river? How wide is the river? Give your answers to the nearest foot.
Please look at the scanned picture.
Which of the integers shown is the greatest?
Answer:
-3
Step-by-step explanation:
because as you vo more to the negative side the less.it gets and more to the positive side it gets moe
N is the centroid of the triangle. Find XN if XG = 33
Answer:
XN = 22
Step-by-step explanation:
Recall: the Centroid theorem states that the Centroid of a triangle is ⅔ of the distance any vertex of the triangle to the midpoint of the side opposite to it.
This implies that:
XN = ⅔(XG)
XG = 33
Substitute
XN = ⅔(33)
XN = 2*11
XN = 22
No idea how to do
[tex]\frac{4r + 20}{r + 5}[/tex]
when r ≠ 5 ?
Factorize the numerator:
4r + 20 = 4r + 4×5 = 4 (r + 5)
I think you meant to say r ≠ -5, which means r + 5 ≠ 0, so that the denominator is never zero and so the expression is defined (no division by zero). This lets you cancel the factor of r + 5 in the numerator with the one in the denominator:
(4r + 20)/(r + 5) = 4 (r + 5)/(r + 5) = 4
Use properties of logarithms to prove :
Answer:
Step-by-step explanation:
[tex]log_8(1000) = log_2(1000)/log_2(8) = log_2(1000)/3[/tex]
[tex](1/3)log_2(1000) = log_2(1000^{(1/3)}) = log_2 10[/tex]
find area of shaded region by using formula a^2-b^2.
Answer:
216 cm^2
Step-by-step explanation:
15^2 -3^2 = 225 -9
= 216
Choose the correct simplification of the expression b5 ⋅ b4.
b
b9
b20
b−1
Answer:
b20
Step-by-step explanation:
PLZZ HELPPPP !!!!!!!!
Answer:
m>3
Step-by-step explanation:
2m >6
Divide by 2
2m/2 > 6/2
m >3
Answer:
m>3
Step-by-step explanation:
Which of the following has no solution?
A. {x | x ≤ 0} or {x | x ≥ 0}
B. {x | x < 0} and {x | x > 0}
C. {x | x ≤ 0} and {x | x ≥ 0}
Algebra is hard for me
Answer: Third Choice. 9
Step-by-step explanation:
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given
4x + 2y -1
x = 3, y = -1
Substitute the value of x and y
4(3) + 2(-1) - 1
Simplify by multiplication
12 - 2 - 1
Simplify by subtraction
9
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Step-by-step explanation:
Hello!
4x= 4*3 = 12
2y = 2*-1 = -2
12-2 -1= 9
pls answer fast i need help
Do it by your self ok ???
Fine FG , given that line HF is perpendicular bisector or EG
Answer:
FG = 7
Step-by-step explanation:
We'll begin by calculating HF. This can be obtained by using the pythagoras theory as illustrated below:
EF = 7
EH = 3
HF =?
EF² = EH² + HF²
7² = 3² + HF²
49 = 9 + HF²
Collect like terms
49 – 9 = HF²
40 = HF²
Take the square root of both side
HF = √40
Finally, we shall determine FG. This can be obtained as follow:
GH = 3
HF = √40
FG =.?
FG² = GH² + HF²
FG² = 3² + (√40)²
FG² = 9 + 40
FG² = 49
Take the square root of both side
FG = √49
FG = 7
find the value of x
4x - 7 = 3x + 9
x = 16
they're equal because they are opposites by the vertex.
hope it helps :)
HELP?h?e?l?pppppppppppppppppppppp
Answer:
Yes
Step-by-step explanation:
In ΔFKR, which side is included between ∠F and ∠R?
Answer:
First choice
Step-by-step explanation:
It gives you the endpoints of the included side, F and R. Therefore, the side is FR or RF.
Please hurry I will mark you brainliest
What is the slope of this?
Answer:
4/3
Step-by-step explanation:
Using the given points
(0,-2) and (3,2)
We can use the slope formula
m = (y2-y1)/(x2-x1)
= ( 2- -2)/(3-0)
= (2+2)/(3-0)
=(4/3
A factory uses 1/6 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1/2 of a barrel of raisins. How many batches of granola bars did the factory make yesterday?
1/6 = 1 batch, 2/6 = 2 batches and so on
if the factory used 1/2, the factory used 3/6 of a barrel, which equals to 3 batches.
hope it helps :)
Whats his mistake and the correct awnser
Answer:
θ ≈ 35.7°
Step-by-step explanation:
His mistake was in using the wrong trig. ratio
Instead of using cosine he should have used the sine ratio
sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{12}[/tex] , then
θ = [tex]sin^{-1}[/tex] ([tex]\frac{7}{12}[/tex] ) ≈ 35.7° ( to the nearest tenth )
What is the length of side s of the square shown below? 450 90" A. 4-3 B. 1 C. 4 D. 2 E F. 2.5
Answer:
E
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
s² + s² = 2²
2s² = 4 ( divide both sides by 2 )
s² = 2 ( take the square root of both sides )
s = [tex]\sqrt{2}[/tex]
Answer:
E.
Step-by-step explanation:
we know the diagonal of the square : 2
as you can see in the picture, there is a right-angled triangle with the baseline of Hypotenuse being the diagonal, and 2 times s being the 2 sides.
that means we can use Pythagoras to calculate s :
2² = s² + s²
4 = 2s²
2 = s²
s = sqrt(2)
