Answer:
Hey there!
Given Equation
4a-5=3
Add 5 on both sides
4a=8
Divide by 4 on both sides
a=2
Hope this helps :)
Answer:
a= 2Step by step explanation
4a - 5 = 3
Add 5 on both sides:
4a - 5 +5 = 3 + 5
Simplify
4a = 8
divide both sides by 4
4a/4 = 8/4
Simplify
a = 2
Hope this helps...
Good luck on your assignment..
does this graph represents a function? why or why not?
Answer:
Yes, it passes the vertical line test
Step-by-step explanation:
This graph has a one to one correspondence and will pass the vertical line test, there fore it is a function
Isabel purchased bananas and apples at a grocery store. She spent a total of $9.90 on 3 pounds of apples and 2 pounds of bananas. If the apple cost 3 times as much per pound as bananas, what is the cost per pound of apples??
A) $0.90
B) $1.80
C) $2.70
D) $3.60
Answer:
C. $2.70
If one pound of apples cost 3 times the amount of a pound of bananas, then a pound of apples costs; $2.70.
The cost per pound of apples will be $2.70, which is the correct answer would be option (C).
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let the cost per pound of apples be x, and the cost per pound of banana be y
She spent a total of $9.90 on 3 pounds of apples and 2 pounds of bananas.
So, 3x + 2y = 9.90 ....(i)
And the apple cost 3 times as much per pound as bananas.
So, x = 3y
y = x/3 ....(ii)
Substitute the value of y = x/3 in the equation (i), and solve
3x + 2(x/3) = 9.90
3x + 2x/3 = 9.90
11x/3 = 9.90
11x = 2.97
x = 2.97/11
x = 2.70
Thus, the cost per pound of apples will be $2.70.
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PLEASE HELP
Prison M and pyramid N and have the same base area and the same height. Cylinder P and prism Q have the same height in the same base perimeter. Come Z has the same base area of cylinder y, but its height is three times the height of the cylinder y. The figures? And? Have the same volume
9514 1404 393
Answer:
Cone Z, cylinder Y
Step-by-step explanation:
Pointy objects such as pyramids and cones have 1/3 the volume of a prism (or cylinder) with the same base area. So, for a cone and cylinder of the same base area to have the same volume, the cone must be 3 times as high.
The figures described as having that relationship are ...
cone Z, cylinder Y
_____
Additional comment
The perimeter of a prism is not sufficient to define its base area, unless the shape of the base is well-enough defined. However, the perimeter of the base is useful for determining the lateral surface area. Unfortunately, that is not of any interest in this problem.
Algebraically find the point where the cable and the strut intersect. Interpret your answer. (10 points)
Answer:
√2x+8=x-8
2x+8=x^2-16x+64
-x^2+18x-56=0
x^2-18x+56=0
x(x-4)-14(x-4)=0
(X-4)(x-14)=0
x=4(extraneous) ,x=14
—> x=14
Step-by-step explanation:
Answer: (14,6)
Step-by-step explanation:
Right on edg 2022.
Which linear inequality is represented by the graph?
Answer:
Hey there!
The line is y=1/3x-1, and since the above is shaded it is y≥1/3x-1. (Note that this is a shaded line, so it is more than just >)
Hope this helps :)
Heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
Answer:
1. not possible, 2. a. 65 b. 115 c.115
Step-by-step explanation:
def. sup. <
vertical angles post.
corresponding angles thm.
Answer:
Step-by-step explanation:
(a) 27 degrees: complementary angle is (90 - 27) degrees, or 63 degrees; recall that complementary angles add up to 90 degrees.
(b) Since supplementary angles add up to 180 degrees, we subtract 105 degrees from 180 degrees, obtaining the supplementary angle 75 degrees. There's no complementary angle here, because 105 degrees is greater than 90 degrees.
(c) complementary angle is (90 - 18) degrees, or 72 degrees; supplementary angle is (180 - 18) degrees, or 162 degrees.
A store ships books by weight. A small box can hold 4−6 pounds. A medium box can hold 5−7 pounds. A large box can hold 8−9 pounds. The weights of the books are given below. Drag books into each box to show what it can hold.
Answer:
4-6
3.1+2.4
5-7
3.1+2.4+.75+.75
8-9
3.1+2.4+2.4+.75
add them to see which one is close that's i got my answer because i got it right
In 4-6 pounds, the blue and green book can be added., 5-7 pounds, the blue, green and red books can be added. and n 8-9 pounds, two green books, blue book and red book be added
What is Unit of Measurement?Unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
We know that 1 pound = 1 lb.
In 4-6 pounds, the blue and green book can be added.
4-6
3.1+2.4
In 5-7 pounds, the blue, green and red books can be added.
3.1+2.4+.75+.75
In 8-9 pounds, two green books, blue book and red book be added.
3.1+2.4+2.4+.75
Hence, In 4-6 pounds, the blue and green book can be added., 5-7 pounds, the blue, green and red books can be added. and n 8-9 pounds, two green books, blue book and red book be added.
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Which Anna quality graft is the solution to X/ < -3
Answer:
Well the following inequality [tex]x<-3[/tex] as a graph is in the image below.
Which of the following best describes the slope of the line below?
O A. Undefined
O B. Negative
O c. Positive
O D. Zero
Answer:
zero or undefined
Answer:
it's d zero.
Step-by-step explanation:
just took the test
Jeremy and Arnold are working on a project for math class in which they are to identify the quadratic equation that represents a rain gauge that sits off the ground. Graph each of the equations and then determine which one could represent the position of the rain catcher that sits above the ground. The x-axis represents the ground. 1. y = x2 + 11x + 24 2. y = –x2 – 6x – 8 Direction of Parabola: ______ Direction of Parabola: ______ Location of vertex with respect Location of vertex with respect to the x axis: _____________ to the x axis: _____________ Determine if the graph depicts Determine if the graph depicts the rain gauge. ___________ the rain gauge. ___________ Why or why not? ___________ Why or why not? ___________ _________________________ _________________________ _________________________ _________________________ 3. y = x2 – 2x + 3 4. y = x2 + 4x + 4 Direction of Parabola: ______ Direction of Parabola: ______ Location of vertex with respect Location of vertex with respect to the x axis: _____________ to the x axis: _____________ Determine if the graph depicts Determine if the graph depicts the rain gauge. ___________ the rain gauge. ___________ Why or why not? ___________ Why or why not? ___________ _________________________ _________________________ _________________________ _________________________ 5. y = 3x2 + 21x + 30 Direction of Parabola: ______ Location of vertex with respect to the x axis: _____________ Determine if the graph depicts the rain gauge. ___________ Why or why not? ___________ _________________________ _________________________
Answer: see below
Step-by-step explanation:
Given ax² + bx + c = 0
If a > 0 (positive), then parabola opens UP
If a < 0 (negative), then parabola opens (DOWN)
Axis of Symmetry: [tex]x=\dfrac{-b}{2a}[/tex]
Max/Min: Plug axis of symmetry into the given equation and solve for y.
1) y = x² + 11x + 24
a=1 b=11
a> 0 so parabola opens UP
[tex]\text{Axis of symmetry:}\quad x=\dfrac{-(11)}{2(1)}=\dfrac{-11}{2}=-3.5\\\\\\\text{Minimum:}\quad y=(-3.5)^2+11(-3.5)+24 = -6.25[/tex]
2) y = -x² - 6x - 8
a=-1 b=-6
a< 0 so parabola opens DOWN
[tex]\text{Axis of symmetry:}\quad x=\dfrac{-(-6)}{2(-1)}=\dfrac{6}{-2}=-3\\\\\\\text{Maximum:}\quad y=(-3)^2-6(-3)-8 = 1[/tex]
3) y = x² - 2x + 3
a=1 b=-2
a> 0 so parabola opens UP
[tex]\text{Axis of symmetry:}\quad x=\dfrac{-(-2)}{2(1)}=\dfrac{2}{2}=1\\\\\\\text{Minimum:}\quad y=(1)^2-2(1)+3 = 2[/tex]
4) y = x² + 4x + 4
a=1 b=4
a> 0 so parabola opens UP
[tex]\text{Axis of symmetry:}\quad x=\dfrac{-(4)}{2(1)}=\dfrac{-4}{2}=-2\\\\\\\text{Minimum:}\quad y=(-2)^2+4(-2)+4 = 0[/tex]
5) y = 3x² + 21x + 30
a=3 b=21
a> 0 so parabola opens UP
[tex]\text{Axis of symmetry:}\quad x=\dfrac{-(21)}{2(3)}=\dfrac{-21}{6}=-3.5\\\\\\\text{Minimum:}\quad y=3(-3.5)^2+21(-3.5)+30 = -6.75[/tex]
Expand to write an equivalent expression: -1/4(-8x+12y)
Answer:
8x -12
Step-by-step explanation:
Use the distributive property. 16 outside wishes to go inside and multiply each term; you get 16x/2 which is 8x minus ¾ of 16 which is 12.
Answer:
2x-3y
Step-by-step explanation:
To expand this expression, use the distributive property.
[tex]-\frac{1}{4}(-8x+12y)[/tex]
To distribute, multiply each term inside the parentheses by the number outside the parentheses.
[tex](-\frac{1}{4}*-8x)+(-\frac{1}{4} *12y)[/tex]
Multiply -1/4 and -8x first.
[tex]((-\frac{1}{4}*-8)x)+(-\frac{1}{4} *12y)[/tex]
[tex]2x+(-\frac{1}{4} *12y)[/tex]
Next, multiply -1/4 and 12y.
[tex]2x+ ((-\frac{1}{4} *12)y)[/tex]
[tex]2x+ -3y[/tex]
A +- becomes a -
[tex]2x-3y[/tex]
This set of 3 numbers are measurements of a right triangle. 26, 24, 10
True
False
Answer:
True
Step-by-step explanation:
24^2 = 576
10^2 =100
576+100=676
26^2=676
Answer:
True
Step-by-step explanation:
Use the pathagorean theorum:
a squared +b squared=c squared
(the numbers squared)
676, 576, 100
a=576 b=100 c=676
because 676=576+100
Can someone help me out please :)
Students in a class sit two major exams.
75% of students pass the maths exam.
80% of those who pass
the maths exam
also pass the science exam. 40% of those
who fail the maths exam pass the science
exam. Find the probability that a student
chosen at random:
(b) fails both exams.
%
Answer:
15%
Step-by-step explanation:
25% fail math
60% of the 25% above fail science
thus,
[tex] \frac{25}{100} \times 60\%[/tex]
=15% of total student
What shape will you get if you take a cross section of a square pyramid parallel to its base? ANSWERS: A rectangle A triangle A square A parallelogram
Answer:
A square
Step-by-step explanation:
Since the base is a square, any plane of the pyramid parallel to the base is shaped like a square (except the very top one which is a point).
Square shape will you get if you take a cross section of a square pyramid parallel to its base
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
'A square pyramid is a three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called vertex) is called a square pyramid.'
According to the given problem,
If a square pyramid is cut along the plane, then the cross-section of the solid is square. Because it is a square pyramid.
Hence, we concluded that square could be formed by slicing the square pyramid by a plane.
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Solve the system of equations and choose the correct ordered pair. 3x-5y+2=21 and 2y=7x+4
Answer:
(-2 ; -5)
Step-by-step explanation:
2*y = 7*x + 47*x - 2*y = -4
(7/2)*x - (2/2)*y = -4/2
(7/2)*x - y = -2
(7/2)*x + 2 = y
3*x - 5*y + 2 = 213*x - 5*y = 21 - 2
3*x - 5*y = 19
3*x - 5*[(7/2)*x + 2] = 19
3*x - 35/2*x - 10 = 19
- 29/2*x = 29
- 1/2*x = 1
x = -2
⇒ y = -5
Answer : (-2 ; -5)
Graph the line that passes through the points (4, 3) and (1,6) and determine the equation of the line.
Answer:
y = -x + 7
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Step 1: Find slope
m = (6 - 3)/(1 - 4)
m = -1
Step 2: Find b
y = -x + b
6 = -1 + b
b = 7
Step 3: Rewrite linear equation
y = -x + 7
Answer:
y = -x + 7
Step-by-step explanation:
(x1, y1) = (4 , 3)
(x2, y2) = (1 , 6)
[tex]slope=\frac{y_{2}-y{1}}{x_{2}-x_{1}}\\\\=\frac{6-3}{1-4}\\\\=\frac{3}{-3}\\\\=-1\\\\y-y_{1}=m(x-x_{1})\\\\[/tex]
m = - 1; (4,3)
y - 3 = (-1)(x -4)
y - 3 = -x + 4
y = -x + 4 + 3
y = -x + 7
The triangular prisms are similar. Find the volume of the larger prism. Round your answer to the nearest hundredth.
A. 85.33 in³
B. 86.38 in³
C. 87.07 in³
D. 88.16 in³
Please help with this
A father requires his son to do chores for 4 to 6 hours a week. If the son wants to do
chores daily, how many hours per day is this (in interval notation)?
Answer: 5 hours and 15 mins
Step-by-step explanation: 45 mins x 7 = 5 hours and 15 mins. I checked so it should be correct. [tex]45x2= 1[/tex]hour and 30 mins.So I multiplied 1 hr 30 x 3 which gave me 4 hr 30 then added 45 mins, then I got 5 hr 15 min.
So in conclusion the answer is 5 hours and 15 mins.
Thank You
Help please, I'm not timed
Answer:
B 30% you can divide 160 the total by 10then multiply and you can check B and C
Find the area of this circle. Area = _______ in2. Use 3.14 for pi and round to the nearest tenth. A. 35.8 B. 28.3 C. 254.3 D. 1017.4
Answer:
A ≈ 254.5 in²
Option C
Step-by-step explanation:
Area of a Circle Formula: A = πr²
d = 2r
Since we are given diameter d, we simply divide by 2 to get radius r:
r = 18/2 = 9
Then we simply plug it into the formula:
A = π(9)²
A = 81π
A = 254.469
A circle with a radius of 9 inches has an area of 254.3 square inches. The of aarea circle is calculated using the formula πr², where π is a mathematical constant approximately equal to 3.14 and r is the radius of the circle.
Hence, the correct option is C.
The area of a circle is calculated using the formula A = πr², where A is the area and r is the radius of the circle. In this case, the radius is 9 inches, so the area is given by:
In this case, the radius is 9 inches, so the area of circle is given by,
Area = pi × [tex]9^{2}[/tex]
Area = 3.14 × 81
Area= 254.3
The value of pi is approximately 3.14, so the area of the circle is approximately 254.3. However, the question asks for the area rounded to the nearest tenth, so the answer is 254.3.
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40 points!!! please tell me how to do it not what the answer is :D
Answer:
C
Step-by-step explanation:
You first distribute within the parentheses which is -(-z-2). This is going to make everything positive as everything in the parentheses is negative. You should get z+2. Next, you plug that back in. It should be-3z+z+2. You simplify to get -2z+2. Hope this helps!
Answer:
see below
Step-by-step explanation:
-3z -( -z -2)
The first step is to distribute the minus sign
-3z --z --2
A negative negative is a positive
-3z +z +2
Then combine the like terms
-3z+z +2
Answer
-2z+2
Please answer this question now
Answer:
C = (2,2)
Step-by-step explanation:
B = (10 ; 2)
M = (6 ; 2)
C = (x ; y )
|___________|___________|
B (10;2) M (6;2) C ( x; y)
So:
dBM = dMC
√[(2-2)^2 + (6-10)^2] = √[(y-2)^2 + (x - 6)^2]
(2-2)^2 - (6-10)^2 = (y-2)^2 + (x - 6)^2
0 + (-4)^2 = (y-2)^2 + (x - 6)^2
16 = (y-2)^2 + (x - 6)^2
16 - (x - 6)^2 = (y-2)^2
Also:
2*dBM = dBC
2*√[(2-2)^2 + (6-10)^2] = √[(y-2)^2 + (x - 10)^2]
4*[(0)^2 + (-4)^2] = (y-2)^2 + (x - 10)^2
4*(16) = (y-2)^2 + (x - 10)^2
64 = (y-2)^2 + (x - 10)^2
64 = 16 - (x - 6)^2 + (x - 10)^2
48 = (x - 10)^2 - (x - 6)^2
48 = x^2 - 20*x + 100 - x^2 + 12*x - 36
48 = - 20*x + 100 + 12*x - 36
8*x = 16
x = 2
Thus:
16 - (x - 6)^2 = (y-2)^2
16 - (2 - 6)^2 = (y-2)^2
16 - (-4)^2 = (y-2)^2
16 - 16 = (y-2)^2
0 = (y-2)^2
0 = y - 2
2 = y
⇒ C = (2,2)
Thuy rolls a number cube 7 times. Which expression represents the probability of rolling a 4 exactly 2 times? P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction Subscript 7 Baseline C Subscript 5 Baseline (one-sixth) squared (one-sixth) Superscript 5 Subscript 7 Baseline C Subscript 5 Baseline (one-sixth) Superscript 5 Baseline (five-sixths) squared Subscript 7 Baseline C Subscript 2 Baseline (one-sixth) squared (five-eighths) Superscript 5 Subscript 7 Baseline C Subscript 2 Baseline (two-sixths) squared (four-sixths) Superscript 5
Answer:
Rolling a 4 on the first try has a probability of (1/6). Meaning, it is one event out of the six possible events of the die. Rolling a 4 a second time also has a probability of (1/6), because nothing has changed on the die.
Answer:
Subscript 7 Baseline C Subscript 2 Baseline (one-sixth) squared (five-eighths) Superscript 5
Step-by-step explanation:
The answer above is correct.
what is the recursive formula for this geometric sequence? 2,-10,50,-250,...
Answer:
an = an-1 * (-5)
a1= 2
Step-by-step explanation:
The recursive formula is
an = an-1 * r
a1= initial term
where a1 is the initial term and r is the common ratio
a1 =2 or the starting term
r = second term / first term = -10/2 = -5
an = an-1 * (-5)
a1= 2
Answer:
The correct answer is D
Step-by-step explanation:
2 and -5
For the function defined by [Image Displayed], What is the constant of proportionality?
a.
120
c.
12
b.
undefined
d.
1200
Answer:
I think the answer is undefined because the question above is an expression of f of x not a statement of variation which should have a constant of proportionality
is this right? someone help i’ll give brainliest!
Answer:
yes this is right
Step-by-step explanation: i dont even no the answer i just said its right
Answer:
-10< x< 3
Step-by-step explanation:
Please see attached picture for full solution.
*Sign changes when you divide inequality with a negative number.
Further explanation:
When you add, subtract, divide or multiply an inequality, it applies throughout. This means that from step 1 to 2, if you subtract 1 from the constant 58 to obtain 57, your inequality should be:
19< -6x -3< 57
Note that you do not subtract 1 from the coefficient of x (which means -6x does not become -7x since -7 is not a constant here).
Thus, the easiest way to solve an inequality with 2 inequality signs is to split them up into 2 different inequalities first and solving them separately before combining them into 1 to solve the question.
PLs help me pls ssssssssssssssssss
Answer:
The answer is p/6-4/5.
hope it helps
Answer:
no
Step-by-step explanation:
The quotient is ??
The remainder is ??
Answer:
The quotient is 10x + 16
The remainder is 28x² + 10x + 22
Step-by-step explanation:
x³ - 3x² + x - 2) 10x⁴ - 14x³ - 10x² + 6x - 10 (10x + 16
10x⁴ - 30x³+ 10x² - 20x
16x³ - 20x² + 26x - 10
16x³ - 48x² + 16x - 32
28x² + 10x + 22
Therefore, the quotient is 10x + 16
The remainder is 28x² + 10x + 22
A quadrilateral has angle measures of 120 degrees ,37 degrees and 48 degrees what is the measure of the forth angle
Answer:
Let the fourth angle be x
Angles in a quadrilateral add up to 360°
To find the fourth angle add all the known angles and subtract them from 360°
That's
x + 120+37+48=360
x + 205 = 360
x = 360-205
x = 155°
Therefore the fourth angle is 155°
Hope this helps