Answer:
25/4 This improper fraction represents how much milk is left in the carton.
Step-by-step explanation:
5×4=20
20+5=25
25/4
A system of two linear equations in which the lines are parallel is classified as __________.
A) inconsistent.
B) indeterminate.
Eliminate
C) consistent and dependen
Which point lies on the graph of Y= 4x-4
1.(0,4)
2.(0,-4)
3.(-4,0)
4.(4,0)
Answer:
2. (0, -4)Step-by-step explanation:
[tex]y=4x-4\\\\\text{Substitute the coordinates of each points to the equation}\\\text{and check the equality.}\\\\1.\ (0,\ 4)\to x=0,\ y=4\\\\4=4(0)-4\\4=0-4\\4=-4\qquad\bold{FALSE}\\\\2.\ (0,\ -4)\to x=0,\ y=-4\\\\-4=4(0)-4\\-4=0-4\\-4=-4\qquad\bold{TRUE}\\\\3.\ (-4,\ 0)\to x=-4,\ y=0\\\\0=4(-4)-4\\0=-16-4\\0=-20\qquad\bold{FALSE}\\\\4.\ (4,\ 0)\to x=4,\ y=0\\\\0=4(4)-4\\0=16-4\\0=12\qquad\bold{FALSE}[/tex]
If $650 is invested for one year at 11% simple interest, how much interest is earned
Answer:
71.5
Step-by-step explanation:
650 / 100 = 6.5
6.5 x 11 = 71.5
Solve the proportion 2x/3=20/5
Answer:
Hi
Step-by-step explanation:
Sunndmdmd
Compare in hours: 27 hours to 3 days. Write the ratio as a fraction in lowest terms
Answer:
27:72
Step-by-step explanation:
First I would convert three days to hours. 24×3=72
Answer: 27:72
The ratio of the two times will be 3 / 8.
What is a ratio?
A ratio in mathematics shows how many times one number is contained in another. For instance, if a dish of fruit contains eight oranges and six lemons.
The ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.
Given that compare in hours: 27 hours to 3 days. The ratio will be calculated as:-
In 3 days there are 72 hours.
Ratio = 27 / 72 = 3 / 8
Therefore, the ratio of the two times will be 3 / 8.
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Solve the equation using the order of operations.
5+{2×[(5−1)+6]}÷4
Answer:
The order of operations is PEMDAS
First step is to do everything is parenthesis or brackets
5+{2*[(5-1)+6]}/4
{2*[(5-1)+6]}
First you would go 5-1=4, because that is the first equation that is in parenthesis by itself.
{2*[4+6]}
Next you would go 4+6=10, because that is your next smallest bracket
{2*10}
Last you would go 2*10=20
Your equation now looks like this
5+{20}/4
In PEMDAS your next step is exponents, but we don't have any so we go on to the next one which is multiply/division
5+5
You would go 20/4=5
Last step is to add/subtract
5+5=10
Your final answer would be 10
Hope this helps ;)
Step-by-step explanation:
7. Find the value of a. The diagram is not to scale.
(1 point)
a.) 36°
b.) 144
c.) 54
d.) 126°
Answer:
The correct answer is B. 144°
Step-by-step explanation:
Let's recall that in a trapezium the bases are parallel and one of its properties is that the two angles on the same side are supplementary, that is the sum of the angles of two adjacent sides is equal to 180°.
Upon saying that, we can find out the value of a and b, this way:
∠a = 180 - 36
∠a = 144
∠b = 180 - 113
∠b = 67
But the question is regarding ∠a. Then the correct answer is B. 144°
F(x)=2x+6
G(x)=-5x-9
Find the product of f and g.
A.-10x^2-54
B.-10x^2-48x-54
C.-10x^2-12x-54
D.-10x^2+48x-54
The product of f(x) = 2x + 6 and g(x) = -5x - 9 is found by multiplying out the terms, resulting in -10x^2 - 48x - 54, which corresponds to option B.
Explanation:The student is asking to find the product of two functions f(x) = 2x + 6 and g(x) = -5x - 9. To find the product, we multiply the two functions together:
f(x) * g(x) = (2x + 6) * (-5x - 9)
Distribute each term in the first function by each term in the second function:
2x*(-5x) + 2x*(-9) + 6*(-5x) + 6*(-9)
= -10x^2 - 18x - 30x - 54
Combine like terms:
= -10x^2 - 48x - 54
Therefore, the correct answer is B. -10x^2 - 48x - 54.
These are the first six terms of a sequence with a = 2:
2, 14, 98, 686, 4802, 33614, ...
Find a recursive formula for this sequence that is valid for n > 1.
Write your answer in simplest form.
Answer:
an+1 = 2×7ⁿStep-by-step explanation:
98÷14
=7
686÷98
=7
4 802÷686
=7
33 614÷4 802
=7
Then the common ratio q for this sequence is 7
recursive formula : an+1 = q×an = ?
an= a1 × qⁿ⁻¹
=2×7ⁿ⁻¹
an+1 = q×an
= 7×(2×7ⁿ⁻¹)
= 2×7ⁿ
Answer: The formular for this sequence is AR^n-1 (that is, A multiplied by R{raised to the power of n minus 1} )
Step-by-step explanation:This is a geometric progression in which every term is calculated by multiplying each previous term by a common ratio.
The common ratio here is 7, which is derived as
14/2, or 98/14, or 686/98, or 4802/686...
In simply put, R is derived as Tn/Tn-1, where Tn is the nth term and Tn-1 is the previous term.
Therefore the formular for this progression is given as
AR^n-1
Where A = 2, R = 7 and n = the nth term.
on Saturday a bakery sold 6 cakes and several cupcakes a bakery made a total of 165 if Case sell for $12 each and cupcakes sell for $3 each how many cupcakes did they sell
Cakes = x
Cupcakes = y
On Saturday, 6x + y = $165
We are told x = 12, so 6(12) + 3y = 165
72 + 3y = 165
Subtract the entire equation by 72:
3y = 93
Divide by 3 to simplify:
y = 31 cupcakes sold
What is the sum of 12 over 3 plus 2 over 3 ?
Answer:
The Answer is 4 [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Since both fractions have like denominators , you can just add them:
12/3 + 2/3 = 14/3
Since 14/3 is improper fraction, it should be turning to a mixed number:
14 can go into 3, 4 times since 4 times 3 is 12. 14 - 12 is 2, so it will be your numerator.
4 2/3
Which equation shows the quadratic formula used correctly to solve 5x2 + 3x - 4 = 0 for x?
- 3+ √(3) ² - 4 (6) (-4)
2(5)
3+ (3) +45)(-4)
X
3+ (3)2-4(5)(-4)
OX=
- 3+ √(3)² + 4 (5)(-4)
205)
The quadratic formula used to solve the equation [tex]5x^{2} +3x-4=0[/tex] is [tex]x=\frac{-3 \pm \sqrt{(3)^{2}-4(5)(-4)}}{2(5)}[/tex]
Explanation:
The equation is [tex]5x^{2} +3x-4=0[/tex]
The equation is of the form [tex]ax^{2} +bx+c=0[/tex]
Thus, [tex]a=5, b=3,c=-4[/tex]
To find the quadratic formula, the general formula to find the quadratic roots is [tex]x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]
Hence, substituting the values of a,b,c in the formula, we get,
[tex]x=\frac{-3 \pm \sqrt{(3)^{2}-4(5)(-4)}}{2(5)}[/tex]
Thus, Option A is the correct answer.
The quadratic formula used to solve the equation [tex]5x^{2} +3x-4=0[/tex] is [tex]x=\frac{-3 \pm \sqrt{(3)^{2}-4(5)(-4)}}{2(5)}[/tex]
What is the first step in determining if 6 is a solution to 3x-18?
Answer:
Substitute x = 6 into the equation 3x-18
Answer:
A.) Subsitute 6 for x in the equation.
Step-by-step explanation:
I’m smart :).
Which equation is equivalent to log x 36 = 2?
Answer:
The answer is X^2=36
The equivalent equations of [tex]log_x36 = 2[/tex] are 36 = x² and x = 6.
What is Logarithmic?The inverse of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.
Given:
Equation [tex]log_x36 = 2[/tex]
We know the logarithmic function:
[tex]log_bx = a[/tex]
Then,
x = bᵃ
[tex]log_x36 = 2[/tex]
36 = x²
x = 6
Therefore, 36 = x² and x = 6 are the equivalent expressions.
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Which expression represents the volume, in cubic units, of the shaded region of the composite figure? (14)(10)(8) – π(2.52)(8) (14)(10)(8) + π(2.52)(8) (10)(8)(14) – π(2.52)(8) (10)(8)(14) + π(2.52)(8)
Answer:
A. 1/2(14)(10)(8) – π(2.5^2)(8)
Step-by-step explanation:
I took the test and this was the correct answer. Hope this helped!
Answer:
(0.5)(14)(10)(8) – π(2.5²)(8)
Step-by-step explanation:
The rest of the question is the attached figure.
The volume of the shaded region = volume of the prism - volume of the cylinder
The volume of the prism = The area of triangle * height
= 0.5 * 10 * 14 * 8
The volume of the cylinder = The area of the circle * height
= π r² h
= π (5/2)² * 8 = π * 2.5² * 8
So, The volume of the shaded region = (0.5)(14)(10)(8) – π(2.5²)(8)
Find the area of the irregular figure.
Answer:
The area of the irregular figure is 366 cm sq.
Step-by-step explanation:
This irregular figure is made of 1 Rectangle + 1 right Triangle
Area of the Rectangle:
Length of the rectangle = 21 cm,
Width of the rectangle = 14 cm
AREA of Rectangle = LENGTH x WIDTH
= 21 cm x 14 cm = 294 sq cm
⇒Area of the Rectangle = 294 sq cm ..... (1)
Area of the Right Triangle:
Base of the rectangle = 16 cm,
Height of the rectangle = 21 cm - 12 cm = 9 cm
AREA of Right Triangle = [tex]\frac{1}{2} \times B \times H[/tex]
[tex]= \frac{1}{2} \times 16 \times 9 = 72[/tex]
⇒Area of the Right Triangle = 72 sq cm ..... (2)
Now, area of the irregular figure = Area of the( Rectangle +Right Triangle)
= 294 sq cm + 72 sq cm = 366 cm sq
Hence, the area of the irregular figure is 366 cm sq.
Answer:
366 sq. ft
Step-by-step explanation:
First, we have to find the area of the triangle. To do this we have to find the height of the triangle which can be done by subtracting 12 from 21 to get 9. Then we multiply 16 by 9 to get 144 and divide it by 2 to get 72. Now we must find the area of the rectangle. To do this we have to multiply 14 and 21 to get 294. Now we have to add the values together to get 366.
Simplify this expression.
1 + 4.25n + 32p – 3 + (–2p) + 54n
A. 5.5n – 12p – 2
B. 9.5n + 1.5p – 2
C. 94n − 1.5p − 4
D. 3.75n – p + 1
After combining like terms, the expression simplifies to 58.25n + 30p - 2, which does not match any of the provided answer choices, indicating an error in the options given.
Explanation:To simplify the expression 1 + 4.25n + 32p
dash; 3 + (
minus;
2p) + 54n, we combine like terms. Let's first combine the constant terms (1 and -3), the 'n' terms (4.25n and 54n), and the 'p' terms (32p and -2p).
First, we handle the constants: 1 - 3 = -2
Now, combine the 'n' terms: 4.25n + 54n = 58.25n
Then, combine the 'p' terms: 32p - 2p = 30p
The simplified expression is 58.25n + 30p - 2, which matches none of the given options (A, B, C, D). There appears to be an error since the proper simplification does not align with the options provided.
In the given case, the correct answer is B. 9.5n + 1.5p - 2 which is the simplified expression.
The correct distribution should be:
[tex]\(1.5 \times 39n = 58.5n\) (which is correct)[/tex]
[tex]\(1.5 \times 20p = 30p\) (which is correct)[/tex]
So the correct simplified expression is:
58.5n + 30p - 2
Now, let's convert the decimals to fractions to match the format of the options provided:
[tex]\(58.5n = 58\frac{1}{2}n = 58n + \frac{1}{2}n = 58n + 0.5n\)[/tex]
30p = 30p
So the expression becomes:
58n + 0.5n + 30p - 2
Therefore, the final simplified expression is:
9.5n + 30p - 2
However, we must correct the coefficient of p to match the format of the options. Since 30p is actually [tex]\(1.5 \times 20p\)[/tex] , we should have:
1.5p = 30p
Thus, the correct final simplified expression is:
9.5n + 1.5p - 2
Point slope form. (-5,-1) and (6,-5)
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point on a line
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have two points (-5, -1) and (6, -5). Substitute:
[tex]m=\dfrac{-5-(-1)}{6-(-5)}=\dfrac{-5+1}{6+5}=-\dfrac{4}{11}[/tex]
Put the value of a slope and coordinates of a point to the equation of a line:
[tex](-5,\ -1),\ m=-\dfrac{4}{11}\\\\y-(-1)=-\dfrac{4}{11}(x-(-5))\\\\y+1=-\dfrac{4}{11}(x+5)[/tex]
[tex](6,\ -5),\ m=-\dfrac{4}{11}\\\\y-(-5)=-\dfrac{4}{11}(x-6)\\\\y+5=-\dfrac{4}{11}(x-6)[/tex]
Albert has a round box of crime filled chocolates the box has a diameter of 14 centimeters what is the box’s area
Answer:
Step-by-step explanation:
The formula for the area of a circle is pi*r^2, meaning pi times the radius squared. Since we know that the diameter is 14 centimeters, we know that the radius is half of that. The radius is 7. Now, we have to square 7. 7^2=49. So the answer is 49*pi, or approximately 153.93804
Find the simple interest:
$1,000; 5%; 2 years
A taxi service charges an initial fee plus $1.80 per mile how far can you travel for $12? Does any one know what is it
Answer:
You cant solve for how far you can go, but you can make an equation.
Step-by-step explanation:
A= The initial fee
$1.80=per mile
$12=The max amount of money
A+1.80x=$12
And you would subtract A from the $12 first!
Good Luck!
What is the theoretical probability of a coin
Answer:hfgjvggunycdvjk8nyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyum
Step-by-step explanation:
Answer: probility that it lands on
Head up is 1/8 or 12.5%
Step-by-step explanation:
What is the slope of the line y=3
Answer:
slope = 0
Step-by-step explanation:
recall that the equation of a line can be expressed as:
y = mx + b, where m is the slope and b is the y-intercept.
in our case we are given y = 3
which can be re-written:
y = (0)x + 3
if we compare this with the general equation above, we can see that
slope = m = 0
Answer: the slope is zero
Step-by-step explanation:
The equation of line in slope - intercept form is given as : y = mx + c , where m is the slope and c is the y - intercept. This means that the line y = 3 is a horizontal line that passes through the point y = 3 , therefore , the slope is zero
Kyle swan 450 yards in 5 minutes. What is the average number of yards he swam per minute?
Answer:
90
Step-by-step explanation:
450/5
Answer:
90
Step-by-step explanation:
450 / 5 = 90
Divide 67.9 by one hundred
Answer: .679
Step-by-step explanation:
move the decimal to the left two places.
[Will mark Brainliest] 4 Questions:
Question 1: I'm a shape that has 10 sides and 10 angles. What am I?
Question 2: I'm a shape that has 9 sides and 9 angles. What am I?
Question 3: I'm a shape that has 5 sides and 5 angles. What am I?
Question 4: I'm a shape that has 7 sides and 7 angles. What am I?
Answer:
I'll write it below
Step-by-step explanation:
Q1 a side that has 10 sides and 10 angles is called decagon.
Q2 it is nonagon
Q3 it is Pentagon
Q4it is heptagon
1. A decagon has 10 sides and 10 angles
2. A nonagon has 9 sides and 9 angles
3. A pentagon has 5 sides and 5 angles
4. A heptagon has 7 sides and 7 angles
These are terms you'll have to memorize.
A climbing wall leaning against the top of a play structure forms a right triangle with the ground. The distance from the bottom of the climbing wall to the base of the play structure is 7 feet. If the climbing wall is 11 feet long, how high is the wall of the play structure?
The height of wall of play structure is 8.48 feet
Solution:
A climbing wall leaning against the top of a play structure forms a right triangle with the ground
The figure is attached below
ABC is a right angled triangle
AB is the height of wall of play structure
Let "x" be the height of wall of play structure
AB = x
BC is distance from the bottom of the climbing wall to the base of the play structure
BC = 7 feet
AC is the length of climbing wall
AC = 11 feet
We can apply pythogoras theorem for right angled triangle
Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.
Therefore, by above definition for right angled triangle ABC,
[tex]AC^2 = AB^2+BC^2[/tex]
Substituting the values we get,
[tex]11^2 = x^2 + 7^2\\\\121 = x^2 + 49\\\\x^2 = 121-49\\\\x^2 = 72\\\\\text{Take square root on both sides }\\\\x = \sqrt{72}\\\\x = 8.48[/tex]
Thus the height of wall of play structure is 8.48 feet
Answer:
8ft
Step-by-step explanation:
i did the test on T4L
Will mark as BRAINLIEST!!
Answer:
C
y - y1 = m (x - x1)
(y - y1) / m = x - x1
x = (y - y1) / m + x1
Can an expert help me with this please.Ill give points.I need explanation also
Answer:
What is it you would like help with, because the file does not work for me.
Step-by-step explanation:
What is the operation in the expression x-3?
Answer:
Step-by-step explanation:
Subtraction because there is a minus sign
Answer:
Subtraction
Step-by-step explanation:
- this sign means to take away or in other words subtract.