Angle D and angle B are equal.
Need help see pictures for details
Answer:
plot the points
(-4, 2.5) (-3, 3) (-2, 1.5) (-1, 2) (0, 1)
(1, 2) (2, 3.5) (3, 0.5) (4, 2.5)
Step-by-step explanation:
does that help any???
At a party there are 3 pizzas to share. If each pizza has 8 slices, determine how many pieces each child will receive if 12 kids attend the party. Now what if 8 kids attend?
Answer: your answer is 3
Step-by-step explanation: if you multiply 3 and 8 you get 24 divide that by 8.
The number of pizzas each kid will receive if there were 12 children was 2 slices each
The number of pizzas each kid will receive if there were 8 children was 3 slices each
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The total number of pizzas at the party = 3 pizzas
The total number of slices in 1 pizza = 8 slices
So , the number of slices in 3 pizzas = 3 x 8 slices
The number of slices in 3 pizzas = 24 slices
Now , the equation will be
The number of children attended the party be = A
The value of A = 12 children
So , the number of pizza slices each child gets = number of slices in 3 pizzas / number of children attended the party
Substituting the values in the equation , we get
Number of pizza slices each child gets = 24 / 12
Number of pizza slices each child gets = 2 slices each
Therefore , if there are 12 children , the number of slices of pizzas each child receives is 2 slices
Now , if the number of children is B = 8
Number of pizza slices each child gets = 24 / 8
Number of pizza slices each child gets = 3 slices each
Therefore , if there are 8 children , the number of slices of pizzas each child receives is 3 slices
Hence , The number of pizzas each kid will receive if there were 12 children was 2 slices each
The number of pizzas each kid will receive if there were 8 children was 3 slices each
To learn more about equations click :
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The new Virgo the Vampire Hunter novel is 540 pages. Skyler has read 145 pages in 5 hours. Ramon has read 124 pages in 4 hours who reads faster, Skyler or Ramon? How long will it take Ramon to read entire book if he continues to read at his current rate?
Answer:
Ramon, 16 hours
Step-by-step explanation:
Write a linear function f with the values f(-4) = 0 and f (4) = 2.
Answer:
y + (1/4)(x + 4)
Step-by-step explanation:
One point on the graph is (-4, 0); another is (4, 2).
The change in x from the first point to the second is 8; this is the 'run.'
The change in y is 2 (which is 2 - 0). This is the 'rise.'
Thus, the slope of the line is m = rise / run = 2/8 = 1/4
Let's use the point-slope form of the equation of a straight line:
y - k = m(x - h). Substituting 0 for k and -4 for h, we get:
y - 0 = (1/4)(x + 4), or
y + (1/4)(x + 4)
Which set of coordinates describes a function?
A {(2, -4), (-2, - 7), (0, 2), (-3, 8)}
B {(8,9), (1, 5), (1, 6), (-1, 11)}
C {(6, -4), (-3, -3), (-8, -8), (6, -1)}
D{(8,3), (-8, -4), (2, 7), (2, 2)}
Error Analysis: Henry incorrectly said the rate 1/2 over 1/4 can be written as the unit rate 1/8 pound per quart.
What is the correct unit rate? What was Henry's likely error?
Answer:
1/2 = 2/4 = 4/8
Step-by-step explanation:
his error was probably that he only change the denominator since there all even
whats 2 plus 2 divided by 63.11111
Answer:
0.06338
Step-by-step explanation:
2+2=4
4/63.1111=0.06338
Answer:
2.03169
Step-by-step explanation:
Write the number three hundred sixty-five ten thousandths
Answer:
365,000
Step-by-step explanation:
Three hundred sixty five ten thousands means 3 hundred and 65 thousands
The number will be written in figures as 365,000
The hundred defines the 300 and the sixty-five ten thousands define 65,000
ten thousands is added in the number to define the nature of sixty-five.
-3x-5<10 Equations
Answer:
x>-5
Step-by-step explanation:
First, we need to isolate the variable. To start doing this we can add five to both sides. We now have -3x<15. We then have to divde by -3. When working with inequalites you flip the inequality sign when dividing by a negative number. That then leaves us without answer, x>-5.
IF ANYONE HELPS ME WITH THIS I WILL GIVE U BRAINLIEST AND 100 POINTS BTW ITS INTEGRALS FOR CALCULUS
Answer:
[tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{e^\bigg{\frac{1}{4}}}{8} - \frac{e^\bigg{\frac{1}{9}}}{8}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringExponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integrals
Definite IntegralsIntegration Constant C
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
U-Substitution
eˣ Integration: [tex]\displaystyle \int {e^u} \, dx = e^u + C[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx[/tex]
Step 2: Integrate Pt. 1
Identify variables for u-substitution.
Set: [tex]\displaystyle u = 4x^{-2}[/tex][u] Differentiate [Derivative Rule - Basic Power Rule]: [tex]\displaystyle du = -8x^{-3} \ dx[/tex][du] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle du = \frac{-8}{x^3} \ dx[/tex]Step 3: Integrate Pt. 2
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{-1}{8}\int\limits^6_4 {\frac{-8}{x^3}e^{4x^{-2}}} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{-1}{8}\int\limits^{\frac{1}{9}}_{\frac{1}{4}} {e^u} \, dx[/tex][Integral] eˣ Integration: [tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{-1}{8}(e^u) \bigg| \limits^{\frac{1}{9}}_{\frac{1}{4}}[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{-1}{8} \bigg[ -e^\bigg{\frac{1}{9}} \bigg( e^\bigg{\frac{5}{36}} - 1 \bigg) \bigg][/tex]Simplify: [tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{e^\bigg{\frac{1}{4}}}{8} - \frac{e^\bigg{\frac{1}{9}}}{8}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Please help me! Due soon!
The quadratic [tex]3x^2+4x-9[/tex] has two real roots. What is the sum of the squares of these roots? Express your answer as a common fraction in lowest terms.
Answer:
70/9
Step-by-step explanation:
We have the quadratic:
[tex]3x^2+4x-9[/tex]
So, let’s find the roots of the quadratic. We will set the expression equal to 0:
[tex]3x^2+4x-9=0[/tex]
Testing for factors, we can see that our quadratic isn’t factorable.
So, we can use the Quadratic Formula. The quadratic formula is given by:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case:
[tex]a=3, b=4,\text{ and } c=-9[/tex]
Therefore, by substitution:
[tex]\displaystyle x=\frac{-(4)\pm\sqrt{(4)^2-4(3)(-9)}}{2(3)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{-4\pm\sqrt{124}}{6}[/tex]
Simplify the square root:
[tex]\sqrt{124}=\sqrt{4\cdot31}=2\sqrt{31}[/tex]
Hence:
[tex]\displaystyle x=\frac{-4\pm2\sqrt{31}}{6}[/tex]
Reduce:
[tex]\displaystyle x=\frac{-2\pm\sqrt{31}}{3}[/tex]
So, our roots are:
[tex]\displaystyle x_1=\frac{-2+\sqrt{31}}{3}, x_2=\frac{-2-\sqrt{31}}{3}[/tex]
We want to find the sum of the squares of our two roots. So, let’s square each term:
[tex]\displaystyle (x_1)^2=\Big(\frac{-2+\sqrt{31}}{3}\Big)^2[/tex]
Square. For the numerator, we can use the perfect square trinomial patten where:
[tex](a+b)^2=(a^2+2ab+b^2)[/tex]
Therefore:
[tex]\displaystyle (x_1)^2=\Big(\frac{(-2)^2+2(-2)(\sqrt{31})+(\sqrt{31})^2}{9}\Big)[/tex]
Simplify:
[tex]\displaystyle (x_1)^2=\frac{35-4\sqrt{31}}{9}[/tex]
Similarly, for the second root, we will have:
[tex]\displaystyle (x_2)^2=\Big(\frac{-2-\sqrt{31}}{3}\Big)^2[/tex]
So:
[tex]\displaystyle (x_2)^2=\Big(\frac{(-2)^2+2(-2)(-\sqrt{31})+(-\sqrt{31})^2}{9}\Big)[/tex]
Simplify:
[tex]\displaystyle (x_2)^2=\frac{35+4\sqrt{31}}{9}[/tex]
Therefore, our sum will be:
[tex]\displaystyle (x_1)^2+(x_2)^2\\\\ \begin{aligned} &=\frac{35-4\sqrt{31}}{9}+\frac{35+4\sqrt{31}}{9}\\&=\frac{35-4\sqrt{31}+35+4\sqrt{31}}{9}\\&=\frac{70}{9}\end{aligned}[/tex]
Therefore, our final answer is 70/9.
What is $124 with a 35% Decrease?
Answer:
$80.60
Step-by-step explanation:
35% of $124 = $43.40Find the new price: $124.00 - $43.40 = $80.60I hope this helps!
find the value of x.
Write the equation of the line with the given slope and y-intercept.
slope: 3
y-intercept: -6
Answer:
y=3x-6
Step-by-step explanation:
y=mx+B
y replaces the b
the slope replaces the m
A restaurant manager states the number of customers that enter the restaurant is equal to 3 times the number of people that buy a hotdog from the hotdog cart plus 15. The manager also states that the number of customers that enter their restaurant is equal to 2 times the number of people that buy a hotdog from the hotdog cart plus 60. What number of people buying a hotdog from the hotdog cart across the street makes the equation 3x+15 = 2x+60 true?
Answer: true
Step-by-step explanation: The number of people would be 45
DROP YALL FAV ANIMESS :))) mines if aot
Answer:
monster masume
Step-by-step explanation:
Plz Help due in 10 min If triangle ABC has the following angle measurements, what is the value of x?
∠A=4x − 17
∠B= 3x + 8
∠C= x+ 13
x = 22
x = 23
x= 176
x = 3.7
Answer:
Step-by-step explanation:
4x-17+3x+8+x+13=180
8x+4 =180
8x=176
X=22
Answer:
x = 22
Step-by-step explanation:
<A + <B + <C = 180
<A = 4x - 17
<B = 3x + 8
<C = x + 13
4x - 17 + 3x + 8 + x + 13 = 180 Collect the like terms
8x + 4 = 180 Subtract 4 from both sides
8x = 180 - 4
8x = 176 Divide by 8
x = 176/8
x = 22
Dave is making cookies.
He mixes flour, butter and sugar in the ratio 6:4:1
Dave uses 160 grams of butter.
Work out how much flour and sugar Dave uses.
Answer: 240 grams of flour and 40 grams of sugar.
Step-by-step explanation: I used the rule of three to calculate the values for the flour and sugar. The common ratio that these numbers have would
be 40.
Reasoning: If the ratio is 6:4:1, then you can apply it as a rule of three. If 160 relates to 4, then x (the value of flour) will relate to 6. 160/4 = x/6, cross multiply, and x = 240. The amount of flour is 240 grams. Using the same logic, you can set another rule for the amount of sugar (represented by variable s); 160/4 = s/1. Cross multiply, and s = 40. The amount of sugar is 40 grams.
Find the mean of the following set of numbers:
8.9, 6.1, -4.8, 8.2, 2.7,-0.1
Enter the answer
Answer:
The mean of the given set of numbers is 3.5
Step-by-step explanation:
We need to find the mean of following numbers:
8.9, 6.1, -4.8, 8.2, 2.7,-0.1
For calculating the mean the formula used is: [tex]Mean=\frac{Sum \ of \ all \ numbers}{Total \ numbers}[/tex]
Finding sum of numbers:
[tex]Sum \ of \ numbers= 8.9+6.1-4.8+8.2+2.7-0.1\\Sum \ of \ numbers= 21[/tex]
Total numbers = 6
So, mean is:
[tex]Mean=\frac{Sum \ of \ all \ numbers}{Total \ numbers}\\Mean=\frac{21}{6}\\Mean= 3.5[/tex]
So, mean of the given set of numbers is 3.5
y + 2x = 4 How do I complete this?
A recipe for a loaf of bread calls for 2/3 of a cup of flour. If milo used 12 cups of flour, how many loaves of bread did he prepare?
A.18
B.16
C.15
D.12
E.8
Answer:
15
Step-by-step explanation:
no
An item on sale costs 10% of the original price. The original price was $99 what the sale price
Answer:
Step-by-step explanation:
Constance C. asked • 03/06/17. An item on sale costs 60 % of the original price. If the original price was $ 85 , what is the sale price? An item on sale costs 60 %
Given m∥n, find the value of x.
Answer:
x = 20
Step-by-step explanation:
The 2 given angles are alternate interior angles and are congruent, thus
7x - 3 = 6x + 17 ( subtract 6x from both sides )
x - 3 = 17 ( add 3 to both sides )
x = 20
Find the distance between the two points rounding to the nearest tenth (if necessary).
(0,–8) and (-5, 4)
Neeeeeeeeeeeeeeed help!!!!!??!??!!
Answer:
-15?
Step-by-step explanation:
It's hard to tell where the point is exactly
i need this rnnnnnn pls and ty
Answer:
The answer is A
Step-by-step explanation:
Because if you move -13 to the other side you have add so 8+13= 21 then you divide 21÷-7 = -3 remember to move the sign.Bus Stop: A graph has time (minutes) on the x-axis, and distance (miles) on the y-axis. A line goes through points (0, 5), (6, 8), and (12, 11). Friend's house: A 2-column table with 3 rows. Column 1 is labeled Time (minutes) with entries 3, 6, 9. Column 2 is labeled Distance (miles) with entries 4, 6, 8.
Recall that Seth's house is 17 miles from school. Which location should Seth start off at to get to school faster and how long will it take?
from the bus stop is faster, taking 17 minutes
from the bus stop is faster, taking 24 minutes
from his friend’s house is faster, taking 15 minutes
from his friend’s house is faster, taking 22.5 minutes
Answer:
from his friend’s house is faster, taking 22.5 minutes
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
i just got it right :)
Find the missing angle.
Answer:
x = 63°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesGeometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up equation
x + 94° + 23° = 180°
Step 2: Solve for x
Combine like terms: x + 117° = 180°Subtract 117° on both sides: x = 63°Answer: it’s 63
Step-by-step explanation:
All triangles equal 180. So you need to add the angles they give you; so 23+94=117 so then you subtract 117 from 180 which equal 63
I need help please!!!!
Answer: I think it is 364.80
A repairman charges an inspection fee plus $16 per hour. A customer with a coupon for 30% off the inspection fee pays $74 for a 2-hour repair. How many hours are worked when a customers pays $124 without a coupon?
Answer:
I want to say that the hours worked was 4. I hope that is right.
Step-by-step explanation:
30% off of $60 is 42
16*2=32 and 32+42=74
124-60=64
16*4=64
so he would have worked 4 hours for $64 and a fee of $60
64+60= 124