Answer:
A) x=8 and angle ABC=115 degrees
Step-by-step explanation:
the lines are parallel, meaning the angles are congruent.
you can set up the equation (15x-5)=(10x+35) and simplify.
1. separate variable by subtracting 10x on both sides to get (5x-5)=(35)
2. add 5 on both sides to get 5x=40
3. divide both sides by 5 to get x=8
4. plug x=8 into original function (10x+35) to get (10(8)+35) which equals 115 degrees
Cody treated his girlfriend to lunch at Hamburger Palace. The bill came to
$
15.95
plus a tax of
$
1.17
. He gave the waitress a $20 bill and two dimes.
How much change will Cody get back?
Answer:
2.88
Step-by-step explanation:
You add $15.95 + $1.17 = $17.12 and subtract $20 and its $2.88 he will get back
A fox can run at a rate of 62 miles in 2 hours. A rabbit can run at a rate of 22 miles in 30 minutes. Which animal has the faster speed in miles per hour?
Answer:
The rabbit is faster, as it has a speed of 44 mph.
Step-by-step explanation:
Since the fox runs 62 miles in 2 hours, its speed can be determined by dividing the miles traveled by the time it took to do so. Thus, since 62/2 equals 31, its speed was 31 miles per hour.
In turn, the rabbit can travel 22 miles in half an hour. Following the same procedure, since 22 / 0.5 equals 44, its speed is 44 miles per hour.
Therefore, the rabbit is faster than the fox, since it has a speed of 44 mph versus 31 mph for the latter.
i was doing fine until i came to this question please help
i dont know what its asking
What is the slope of the line
Answer:
[tex]m=\frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from the graph.
Point (2, 0)
Point (5, -1)
Step 2: Find slope m
Substitute: [tex]m=\frac{-1-0}{5-2}[/tex]Subtract: [tex]m=\frac{-1}{3}[/tex]And we have our answer!
Andy cut rope for an activity at outdoor camp. He had 504 centimeters of rope to cut into equal-length pieces. How many of the ways given below would use the entire amount of rope? Circle all that apply. A. 12 pieces of 42.3 centimeter long rope B. 15 pieces of 33.6 centimeter long rope C. 16 pieces of 31.5 centimeter long rope D. 20 pieces of 25 centimeter long rope E. 35 pieces of 14.4 centimeter long rope
Answer: B, C, E
Step-by-step explanation:
For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.
A. 12 pieces of 42.3 centimeter long rope.
= 12 × 42.3
= 507.6
This is wrong
B. 15 pieces of 33.6 centimeter long rope
= 15 × 33.6
= 504cm
This is correct
C. 16 pieces of 31.5 centimeter long rope
= 16 × 31.5
= 504cm
This is correct
D. 20 pieces of 25 centimeter long rope
= 20 × 25
= 500cm
This is incorrect
E. 35 pieces of 14.4 centimeter long rope
= 35 × 14.4
= 504cm
This is correct
Therefore, the correct option are B, C and E.
y−2x=4
3x−5y=15
The system of equations above is only true if x=-6 or x=-5 or x=5 or x=10 and y=-10 or y=-8 or y=-6 or y=3
Answer:
The answer is x=-5 and y= -8
Step-by-step explanation:
help I need this asap I will give the brainiest
i need help with these
Answer:
7+4=11
Step-by-step explanation:
12/3 equalls 4 because the 12÷3=4.
Choose true or false for each statement.
Answer:
a:t
b:f
c:f
d:t
e:f
I think
A pink crayon is made with 12 mL of red wax for every 5 mL of white wax.
Which of the following wax mixtures will create the same shade of pink?
(A) 10 mL of red wax mixed wit 24 mL of white wax
(B) 48 mL of red mixed with 12 of white wax
(C) 13 mL of red mixed with 6 mL of white wax
(D) 36 mL of red mixed with 15 mL of white wax
(E) 60 mL of red mixed with 24 mL of white wax
Given the following number line, select all of the true statements.
|a| > |b|
a b
a > b
0 0
Answer:
b
Step-by-step explanation:
7r7f7fdud6f7fuf6ffuf7f7fud7d7d6d6d
Answer:
doing this in oddseyware rn its is A C D F
mark brainlist
Step-by-step explanation:
What x value sloves the equation .
3x-5=1
what is the solution set of the above question ?
Answer:
The solution set is { } or ∅ ⇒ empty set
Step-by-step explanation:
∵ 2x + 10 < 10
→ Subtract 10 from the two sides of the inequality
∵ 2x + 10 - 10 < 10 - 10
∴ 2x < 0
→ Divide both sides by 2
∴ [tex]\frac{2x}{2}[/tex] < [tex]\frac{0}{2}[/tex]
∴ x < 0
∴ The solutions are all the negative numbers
∵ x ∈ N
∵ N is the set of Natural numbers
→ The natural numbers start at 1 and include all positive whole numbers
∴ N = {1, 2, 3, 4, 5, ..............}
∵ N does not contain any negative numbers
∴ The solution set is an empty set ⇒ ∅
∴ The solution set is { } or ∅
need help pls help :(
Answer:
Neither
Step-by-step explanation:
function A is non linear
What is the exchange rate for converting British pounds (GBP) to Australian dollars (AUD)? Answer and get 50 dollars on cashapp, FIRST COME FIRST SERVER
1 Pound is equal to 1.81 Australian Dollars
1 Pound sterling equals 1.81 Australian Dollar
a function is a type of ____.
a. vertical line test
b. relation
c. range
d. domain
Answer:
relation
Step-by-step explanation:
i just took the test and got it wrong because of the other answer
You want to build a fence around a rectangular yard that is 15 ft. Wide and 25 ft. Long. Find the perimeter of the yard. If fencing costs $6.25 per foot, how much will the fence cost?
Answer:
$500
Step-by-step explanation:
25*2=50
15*2=30
15(2)+25(2)=80
80(6.25)=500
In ΔDEF, the measure of ∠F=90°, ED = 65, DF = 33, and FE = 56. What ratio represents the cosine of ∠D?
Answer:
.51
Step-by-step explanation:
Answer:
33/65
Step-by-step explanation:
f(x) = 5x^3 + 2x^2 – 7x + 4
g(x) = 3x – 7
Find (f +g)(x)
Answer:
d
Step-by-step explanation:
I am pretty sure that is the answer
A function assigns the values. The value of (f +g)(x) for the two given functions f(x)=5x³+2x²–7x+4 and g(x)=3x–7 is 5x³ + 2x² – 4x – 3. The correct option is D.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the two functions such as,
f(x) = 5x³ + 2x² – 7x + 4
g(x) = 3x – 7
Now, the value of (f +g)(x) is the value of the function which is produced when the two of the given function are added together, therefore, the value of the added function can be written as,
(f +g)(x) = f(x) + g(x)
(f +g)(x) = (5x³ + 2x² – 7x + 4) + (3x – 7)
= 5x³ + 2x² – 7x + 4 + 3x – 7
= 5x³ + 2x² – 4x – 3
Hence, the value of (f +g)(x) for the two given functions f(x)=5x³+2x²–7x+4 and g(x)=3x–7 is 5x³ + 2x² – 4x – 3.
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2. What are the slope and y-intercept of the
line described by y = 3x - 6?
Answer:
If your trying to find the slope and y-int of that equation:
Slope: 3
y-int: (0, -6)
A video game store adds a 25% markup on each of the games that it sells. In addition to the manufacturer's cost, the store also pays a $1.50 shipping charge on each game.
Answer:
[tex]y=1.25x+1.5[/tex]
Step-by-step explanation:
Step one:
given data
let the manufacturing cost of the video game be x
25% of x
=25/100*x
=0.25x
the new price of the video game will be
=0.25x+x
=$1.25x
cost of shipping is given as $1.5
let the total cost of producing a video game be y
The expression for the total cost of one video game is given as
[tex]y=1.25x+1.5[/tex]
10. +
10. LCM and GCF
Sweet Charlotte has 24 pounds of popcorn, 36 pounds of fudge,
and 144 pounds of lollipops. They will ship out boxes that
contain all 3 items. Each box will have the same amount of
popcorn, fudge, and lollipops. What is the max number of boxes
they can ship out?
A 2 boxes B. 4 boxes C 12 boxes D. 24 boxes
A
B
Answer:
12 boxes or C.
Step-by-step explanation:
Max = divide.
GCF=12.
LCM = 144.
Difference:
144/12 or 12.
So 12 boxes
Hope this helps :D
Which of the following values are solutions to the inequality 4+2x\le 4?4+2x≤4?
\text{I.}\hspace{2px}0\hspace{20px}\text{II.}\hspace{2px}-4\hspace{20px}\text{III.}\hspace{2px}-3
I.0II.−4III.−3
The box plot below represents some data set. What percentage of the data values are between 50 and 75?
Answer:
25
Step-by-step explanation:
For box plot, the box contains 50percent and the line is the 50percent for the whole plot
25% of the data values are between 50 and 75.
Important information:
A box plot that represents some data set.We need to find, what percentage of the data values are between 50 and 75.
Box plot:From the given box plot it is clear that 50 is the median and 75 is the third quartile.
We know that 25% of data values are between the median and the third quartile.
Thus, 25% of the data values are between 50 and 75.
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Dexter is curious as to whether there is a relationship between a person’s height and thumb length. Fourteen of his classmates volunteered to be measured. He listed his data in a table.
Examine the data set and determine the relationship, if any, between height, h, and thumb length, t. Use your model to predict the thumb length of a person who is 174 cm tall.
The answer to this question is 7.404
A secant and a tangent meet at a 90° angle outside the circle. What must be the difference between the measures of the intercepted arcs?
45°
90°
180°
270°
Answer:
C) 180
Step-by-step explanation:
I hope this helps
Good luck ;)
The difference between the intercepted arc is 180°
What is an angle?An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.
Circle theorem states that if a tangent and a sectant, two tangent or two sectant meets outside a circle, the measure of the angle formed is half the difference between the intercepted arcs.
A secant and a tangent meet at a 90° angle outside the circle. Hence:
90° = (1/2) * difference between the intercepted arc
Difference between the intercepted arc = 180°
The difference between the intercepted arc is 180°
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Which statement explains why the polynomial cannot be factored using the binomial theorem?
125x3 + 900x2 – 2,160x + 1,728
The signs do not follow the right pattern.
The first and last terms are not perfect cubes.
The exponents on each term do not follow the pattern for a binomial expansion.
The middle terms do not take into account the coefficients from Pascal’s triangle.
Answer:
A
Step-by-step explanation:
The signs do not follow the right pattern.
The first and last terms are not perfect cubes explains why the polynomial cannot be factored using the binomial theorem
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given polynomial is:
125x³ + 900x² – 2,160x + 1,728
To factor this polynomial using the binomial theorem, we would need to write it in the form (a + b)³
where a and b are expressions in x.
However, the given polynomial does not seem to fit this form, since the coefficients and exponents of the terms do not follow the pattern of the binomial expansion.
The first and last terms, 125x^3 and 1,728, are perfect cubes, but they do not have a common factor that can be factored out.
Therefore, we cannot write them in the form (a + b)³.
So, the correct answer is the first and last terms are not perfect cubes.
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Someone please help me with this chart, I don’t understand it.
Answer:
The second one is (3 x 3 x 3 x 3) x (3 x 3)
Step-by-step explanation:
Distributive Property Practice
Remember: Multiply BOTH pieces inside the parentheses by the number outside of the parentheses.
4(3x+ 2)
3(7y-1)
5(3p + 4r)
3(2w - 5y)
10(10e + 7g)
8(2b + 5)
7(c + 7)
9(6a +x)
Answer:
1: 12x + 8
2: 21y - 3
3: 15p + 20r
Step-by-step explanation:
Question 1:
Solve for k :
Answer:
Step-by-step explanation:
Equation:
-3k = 108
We need to separate -3 from k. So we must do the inverse operation.
Divide both sides by -3
k = -36
Hope this helps :)
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