Answer:
43º
Step-by-step explanation:
complementary angles total 90
(2x - 13) + (4x - 5) = 90
Combine like terms
6x - 18 = 90
6x = 72
x = 12
ZB = 4x - 5
ZB = 4(12) - 5
ZB = 43º
She has 40 coins all made up of quarters and dimes, And when she counted them up she had $7.75 from them, how much of each did she have?
Answer:
x = number of quarters = 25
y = number of dimes = 15
Step-by-step explanation:
Let
x = number of quarters
y = number of dimes
1 dime = $0.10
1 quarter = $0.25
x + y = 40 (1)
0.25x + 0.10y = 7.75 (2)
From (1)
x = 40 - y
Substitute x = 40 - y into (2)
0.25x + 0.10y = 7.75 (2)
0.25(40 - y) + 0.10y = 7.75
10 - 0.25y + 0.10y = 7.75
- 0.25y + 0.10y = 7.75 - 10
-0.15y = -2.25
y = -2.25/-0.15
y = 15
Substitute y = 15 into (1)
x + y = 40 (1)
x + 15 = 40
x = 40 - 15
x = 25
x = number of quarters = 25
y = number of dimes = 15
Total quarters = 25 × $0.25
= $6.25
Total dimes = 15 × $0.10
= $1.5
What is the value of b2 - 4ac for the following equation?
2x^2 - 2x - 1 = 0
Answer:
12
Step-by-step explanation:
We are finding the discriminant
b^2 -4ac
2x^2 - 2x - 1 = 0
a =2 b = -2 c = -1
(-2)^2 - 4(2)(-1)
4 +8
12
Answer:
[tex]b^2 - 4ac= 12[/tex]
Step-by-step explanation:
Standard quadratic equation :
[tex]ax^2 + bx + c = 0[/tex]
Given equation :
[tex]2x^2 - 2x - 1 = 0[/tex]
From the given equation , a = 2, b = -2 , c = -1
Therefore,
[tex]b^2 - 4ac= ( -2)^2 - ( 4 \times 2 \times (-1))[/tex]
[tex]=4 + 8 = 12[/tex]
Given a right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 24 and DC = 6, what is the length of BC?
Answer:
BC = 12Step-by-step explanation:
BD is the altitude, it breaks ΔABC into two similar triangles:
ΔABD ~ ΔBCDThe ratios of corresponding sides:
AD/BD = BD/DC ⇒ BD² = AD*DC ⇒ BD² = (24 - 6)*6 ⇒ BD² = 108On the other hand:
BC² = BD² + DC² ⇒ BC² = 108 + 6² = 144 BC = √144BC = 12How many solutions does the following system of linear equations have?
y = 5x – 2
( y= 5x+4
O No solutions
O One solution
0 Two solutions
O Infinite solutions
Answer:
No Solution
Step-by-step explanation:
because both of them have same gradient or slope.
we can say that those linear equations are parallel
Which statements are true of the function represented
by this graph?
Which graph?
___________
What is the x-value in the solution to this system of linear equations?
2x − y = 11
x + 3y = −5
−3
−1
2
4
Answer:
4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
2x - y = 11
x + 3y = -5
Step 2: Rewrite Systems
2x - y = 11
[Subtraction Property of Equality] Subtract 2x on both sides: -y = 11 - 2x[Division Property of Equality] Divide -1 on both sides: y = 2x - 11Step 3: Redefine Systems
y = 2x - 11
x + 3y = -5
Step 2: Solve for x
Substitution
Substitute in y [2nd Equation]: x + 3(2x - 11) = -5[Distributive Property] Distribute 3: x + 6x - 33 = -5Combine like terms: 7x - 33 = -5[Addition Property of Equality] Add 33 on both sides: 7x = 28[Division Property of Equality] Divide 7 on both sides: x = 4Answer:
x = 4
Step-by-step explanation:
2x - y = 11
x + 3y = -5
To calculate the value of x , firstly we need to find value of y.
solve for y
2x - y = 11subtract 2x from both side
2x - 2x - y = 11 - 2x-y = 11 - 2xchange the sign of both side of equation
y = -11 + 2xrewrite
y = 2x - 11Solve for x
y = 2x - 11x + 3y = -5substitute the value of y in the equation
x + 3( 2x - 11 ) = -5distribute 3
x + 3 × 2x - 3× 11 = -5x + 6x - 33 = -5combine like terms
7x - 33 = -5Add 33 on both side
7x - 33 + 33 = -5 + 337x = 28divide both side by 7
7x / 7 = 28 / 7x = 4If 1 is added in numerator and denominator then a fraction changes to 4. If 1 is subtracted from the numerator and denominator, fraction changes to 7. Numerator of the fraction is
Answer:
N=15
Step-by-step explanation:
N=numerator
D=denominator
(1+N)/(1+D)=4
(N-1)/(D-1)=7
(1+N)=4(1+D)
N=4D+3
(4D+3-1)/(D-1)=7
4D+2=7(D-1)
4D-7D=-2-7
D=-9/-3=3
N=4D+3=15
what do you call a french pimple
Answer:
bouton
Step-by-step explanation:
X + 6 > 18
Please help and show work if can.
Answer:
x > 12
Step-by-step explanation:
[tex]x+6->18-6\\=>x>12[/tex]
That's it for the workout. Hope it helps.
Aisha wants to paint the four walls of her living room. Each wall is 2.6 m high and 3.5 m long. One wall has a door of 2.2 m by 0.8 m. Tins of paint cost £11 per 2 L tin. Each litre of paint can cover 8 m2 of wall. There is an offer of: Buy 2 tins get the 3rd at half price. How much will Aisha pay to paint her living room
Answer:
£22
Step-by-step explanation:
Area to be painted
4walls - door
a = 4(2.6 * 3.5) - 2.2 * 0.8
a = 34.64 m²
Paint needed
p = 34.64 / 8
p = 4.33
Must round up
p = 5 liters
Tins needed
t = 5/2
t = 2.5
must round up
t = 3
Cost
since 1 is free with 2 will pay for 2
c = 11 * 2
c = 22
£22
Answer fast please :( Kristy wants to know what the probability is that a card drawn randomly from a deck will be a club her sample space includes all 52 cards in a standard deck which of these outcomes compose the event
Answer:
.25
Step-by-step explanation:
there are 13 clubs
13/52= 1/4
a rack bought for rs.8000 and sold at 15% loss, find selling price
Answer:
Rs 6800
Step-by-step explanation:
Hope this helps
Arithmetic Sequences
Find the missing term. . . . 14, __, 28, . . .
Answer:
21
Step-by-step explanation:
goes up by 7
Find the mean, median, mode, and standard
deviation of the quiz scores:
20, 58, 74, 77, 77, 85, 86, 90, 95, 98
Answer:
Step-by-step explanation:
mean = sum of data / no of data
20 + 58 + 74 + 77 + 77 + 85 + 86 + 90 + 95 + 98 / 10
760 / 10
76
to find median u should arrange the data from ascending to descending order.
since the given data is already arranged u dont need to change.
median = (N + 1)/2 (N means no of data)
=10 + 1 / 2
=11 / 2
=5.5
= 5 th term + 6 th term /2
=77 + 85 /2
=162 / 2
=81
mode means most repeating number . so in this given data 77 is repeated two times while others occured just one times . so the mode of the given data is 77.
Mode = 77
Help !!! Hurry I do not know the answer
Answer:
wwiwjwjwjwnwnsnsnssnnssnnssnsnsnsnsnwnwn to
Please help me with this question!
Answer:
part 2 of 3 means is it ans
Step-by-step explanation:
I don't understand ur question can u explain me then I I will ans
What are the lengths of AD, DB, AE, and EC? Measure and record them.
If the abscissa of a point is negative , then in which all quadrants the point can lies?
Answer:
The point can either lie on the second quadrant or the third quadrant
Step-by-step explanation:
Mathematically, we have the ordinate and the abscissa
The ordinate represents the y axis while the abscissa represents the x axis value
For the abscissa to be negative, it means we are talking about the negative x axis
Now, the y axis can either be positive or negative too
When it is positive , we are referring to the point lying on the second quadrant
when it is negative, we are referring to the point lying on the third quadrant
Kate hiked 14 miles in 6 hours. Which rate represents the number of miles traveled per hour? L
Answer:
That would be 14 miles ÷ 6 hours which would be 2.3333 or 2 and 1/3
find the vaule of a in ax+by=c
Answer:
a=[tex]\frac{c-by}{x}[/tex]
Step-by-step explanation:
To find a, we need to change the equation so a is the variable that is left by itself. So...
ax+by=c Get rid of anything else besides the x and its coefficient.
-by -by
ax=c-by Because a has to be completely isolated, get rid of its coefficient.
/x /x
a=[tex]\frac{c-by}{x}[/tex]
Hope this helps and have a great day :D
Answer:
[tex]a x + by = c \\ ax = c - by \\ \frac{ax}{x} = \frac{c - by}{x} \\ a = \frac{c - by}{x}[/tex]
x+7=2(x-15) solve for x
Answer:
x = 37
Step-by-step explanation:
x+7 = 2(x-15)
x+7 = 2x-(2*15)
x+7 = 2x-30
7+30 = 2x-x
37 = x
So, the answer is x = 37.
Please help I’ll give brainliest
Answer: A, 4^4
Step-by-step explanation:
4^7/4^3 = 4^4
Answer:
[tex]4^{4}[/tex]
Step-by-step explanation:
Rewrite the division as a fraction.
[tex]\frac{4^{7} }{4^{3} }[/tex]
Cancel the common factors.
[tex]\frac{4^{3}*4^{4} }{4^{3}*1 }[/tex]
[tex]4^{4}[/tex]
Hope this helps!
Reach out to me if you need more help with these types of problems.
Which statements about this system of equations are true? Check all that apply. Negative x + 6 y = 16. 8 x minus 6 y = negative 2.
Step-by-step explanation:
The given equations are :
-x+6y = 16 ...(1)
8x-6y = -2 ...(2)
The y-variable will be eliminated when adding the system of equations.
Adding equations (1) and (2).
-x+6y+8x-6y = 16+(-2)
7x = 14
x = 2
Put the value of x in equation (1).
-2+6y = 16
6y = 16+2
y = 3
There is only one solution to the system of equations i.e. (2,3).
Can someone help me please
Answer:
Yes what is the question?
Step-by-step explanation:
Answer:
What is the question?
Step-by-step explanation:
Henri bought 3 jars of spaghetti sauce. He used a coupon that reduced the cost of each jar by $0.75. If he paid $6.72 altogether, what was the regular price?
Answer: $8.97
Step-by-step explanation:
he bought three jars and lowered the price by 75 cents for each, so multiply $0.75 by three
$0.75 * 3 = $2.25
so henri saved $2.25 in total
we can add that to what he paid to find the original cost
$6.72 + $2.25 = $8.97
so the original price was $8.97 :)
pls help quickly!! :(
what is the surface area of the right cone below?
Answer:
B.
Step-by-step explanation:
Answer:
D, 143.
Step by step explanation:
what is the average of 4741, 4261, 4628?
Answer:
4628
I hope it will help you all
Argent deadline is tomorrow a²-(b-c)²
Answer:
[tex]a^2 - ( b- c)^2 = a^ 2- b^2 - c^2 +2 bc[/tex]
Step-by-step explanation:
[tex]Using \ (x - y)^2 = x^2 - 2xy + y^2[/tex]
[tex]a^2 - (b - c)^2 = a^2 - ( b^2 - 2bc + c^2 ) = a^2 - b^2 + 2bc - c^2 = a^2 - b^2 - c^2 + 2bc[/tex]
How many bags of concrete are needed to fill the path 1m3 requires 106 x 20kg bags of concrete The pond is 7m diameter and the path around is 2m 50mm deep
Answer:
300 Bags
Step-by-step explanation:
According to the Question,
Given that, We are laying a concrete border around a circular pond. The pond is 7 metres in diameter and is surrounded by a path 2 metres wide.The radius of the pool = 3.5 m; the overall radius including the border = 3.5 + 2 = 5.5m
The area of the concrete borderoverall area - pool area = border area(A)
A = π×5.5² - π×3.5²
A = 56.55 sq m
The concrete needs to be 50 millimetres deep.the volume of the concrete, change 50 mm to .05 m
56.55 * 05 = 2.8275 cu/meters
We are using premixed bagged concrete.1 cubic metre requires 106 x 20 kg bags.
So For the number of bags106 * 2.8275 = 299.715 ≈ 300bags
300 bags of 20 kg of premixed concrete We needWork out the area of a rectangle with base, b = 14mm and perimeter, P = 36mm.
Step-by-step explanation:
perimeter = 2(lenth + base)
perimeter-2b = 2(length)
Area=length×breadth