Answer:
c
Step-by-step explanation:
i hope it helped ᘳ◕ᴥ◕ᘰ
If 7x - 4y = 23 and x + y = 8, what is the value of x?
Answer:
x=5
Step-by-step explanation:
7x - 4y = 23 and x + y = 8
Multiply the second equation by 4
4x + 4y = 32
Add this to the first equation
7x - 4y = 23
4x + 4y = 32
------------------------
11x = 55
Divide each side by 11
11x/11 = 55/11
x = 5
Answer:
[tex]\huge\boxed{x=5}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}7x-4y=23\\x+y=8&|\text{subtract}\ x\ \text{from both sides}\end{array}\right\\\left\{\begin{array}{ccc}7x-4y=23&(1)\\y=8-x&(2)\end{array}\right\\\\\text{substitute (2) to (1):}\\\\7x-4(8-x)=23\qquad|\text{use the distributive property}\\\\7x+(-4)(8)+(-4)(-x)=23\\\\7x-32+4x=23\qquad|\text{combine like terms}\\\\(7x+4x)-32=23\qquad|\text{add 32 to both sides}\\\\11x-32+32=23+32\\\\11x=55\qquad|\text{divide both sides by 11}\\\\\dfrac{11x}{11}=\dfrac{55}{11}\\\\x=5[/tex]
Given csc(A) = 60/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!
Answer:
[tex] \frac{15 \sqrt{209} }{209} [/tex]
Step-by-step explanation:
Objective: Understand and work with trig identies.
Recall multiple trig identies and manipulate them to get from cosecant to secant.
Given
[tex] \csc(a) = \frac{60}{16} [/tex]
Apply reciprocal identity csc a = 1/sin a.
[tex] \sin(a) = \frac{16}{60} [/tex]
Apply pythagorean identity to find cos a.
[tex]( \frac{16}{60}) {}^{2} + \cos(x) {}^{2} = 1[/tex]
[tex] \frac{256}{3600} + \cos(x) {}^{2} = 1[/tex]
[tex] \cos(x) {}^{2} = \frac{3600}{3600} - \frac{256}{3600} [/tex]
We can simplify both expression
[tex] \cos(x) {}^{2} = \frac{225}{225} - \frac{16}{225} [/tex]
[tex] \cos(x) = \frac{ \sqrt{209} }{15} [/tex]
Cosine is positve on quadrant 1 so that cos(a)
Apply reciprocal identity sec a= 1/ cos a.
The answer is
[tex] \sec(a) = \frac{15}{ \sqrt{209} } [/tex]
Rationalize the denominator.
[tex] \frac{15}{ \sqrt{209} } \times \frac{ \sqrt{209} }{ \sqrt{209} } = \frac{15 \sqrt{209} }{209} [/tex]
Find the product of √6*√12. A.36√2. B.6√2. C.5√6. D.4√18.
answer is
B. 6√2
hope this helps!
assssssssssssssssssssssssssssssssss
Answer:
15, 9, 3n
Step-by-step explanation:
Just multiply the number of red balls by 3 to get total number, and divide the total number by three to get the number of red balls
Answer:
What math game is this?
Oh and this guy is correct.
Step-by-step explanation:
Which linear inequality is represented by the graph?
y<3x+2
y>3x+2
y<1/3x+2
y>1/3x+2
Answer:
Y < 3x+2
Step-by-step explanation:
Alright so if you ever get stuck on something like this, Go on demos and put in (0,2) and then add in (-3,-7) and then add in the other answers to see if they match.
So your answer is:
y>3x+2
a right triangle has legs of lengths 7 and 2, what is the length of the hypotenuse to the nearest tenth
Answer:
hypotenuse = 7.3
Step-by-step explanation:
here 7 and 2 are the legs og the right triangle .we should find hypotenuse.
let the legs of the right triangle be a nd b respectively . And c be hypotenuse
using pythagoras theorem to find hypotenuse
a^2 + b^2 = c^2
7^2 + 2^2 = c^2
49 + 4 = c^2
53 = c^2
[tex]\sqrt{53}[/tex] = c
7.28 = c
7.3 =c
Answer:
7.3
Step-by-step explanation:
[tex]7^{2} + 2^{2} = x^{2} \\ 53 = x^{2}\\\sqrt{53} = \sqrt{x^{2}} \\x = 7.3[/tex]
PLS ANSWER ASAP DUE 9:35
Answer:
c) 72
hope this helps!
please give brainiest<3
Answer:
72
Step-by-step explanation:
Substitution:
4^3 + 4 x 6 - 16
64+24-16=72
If valorie made five times more baskets than her brother Vance
But if she made 70 baskets how many baskets did Vance make
Answer:
I say its 14 because it says times more" so u would divide 70 by 5 but im debating between 14 and 65
Step-by-step explanation:
What is the value of this expression when a = 7 and b = -4? 1201 - 6 3 OA. -6 OB. - 31 Oc. 37 D. 6
Answer:
OA . -6
Step-by-step explanation:
correct me if I'm wrong
i’ll give you what eva you like
Answer:
Number of additional inches= x
Number of additional topping= y
Total cost= 8+1.5(x)+0.75(y)
cost of pizza= 8+1.5x+0.75y-----------------------
hope it helps...
have a great day!!
How many possible outcomes are in spinning a spinner divided into red, yellow, orange, purple, blue, and pink?
SOMEONE ANSWER PLS
Answer:
Possible outcomes = 6
Step-by-step explanation:
Since the spinner is divided into red, yellow, orange, purple, blue and pink
Total of 6 colors.
Sara sees some notebooks she likes in a shop. They cost 35p each. This is the money she has. Look in the image
a. How many notebooks can Amy buy? _________
b. How much money will she have left? __________
NEED ANS ASAP giving u 50points
Answer:
Sara can buy 2 notebooks with the money that she has and she will have a remainding 23.1
Step-by-step explanation:
93.1-35-35=23.1
The following box plot represents the average heights of the students in Mrs. Hill's sixth grade math class.
Which of the following statements can you determine from the graph? Select all that apply.
Half of the students in Mrs. Hill's class are between 147 centimeters and 154 centimeters tall.
The median height of the students in Mrs. Hill's class is 152 centimeters.
The interquartile range of this data set is 15 centimeters.
The mean height of the students in Mrs. Hill's class is 152.5 centimeters.
Answer:
152 and 9
Step-by-step explanation:
Which set of numbers does not contain the value below?
Select one:
a. Complex Numbers
b. Pure Imaginary Numbers.
c. Rational Numbers.
d. Integers.
Answer:
b. Pure Imaginary Numbers.
Step-by-step explanation:
[tex] (i \sqrt{3})^2 = i^2 \times (\sqrt{3})^2 = -1 \times 3 = -3 [/tex]
-3 is an integer, a complex number, and a rational number.
Answer: b. Pure Imaginary Numbers.
hey again can u help me with this
Answer:
option C
Step-by-step explanation:
We will take 2 coordinates from the graph and Find the equation of the line.
Let the coordinates be : ( 0, 1) and (1, 3)
step 1 : find slope
[tex]slope , m = \frac{y_2 - y_ 1}{x_2 - x_1} = \frac{3-1}{1-0} = 2[/tex]
Step 2 : equation of the line :
[tex]( y - y_1) = m (x- x_1)[/tex]
[tex](y -1) = 2 ( x -0)\\y - 1 = 2x \\y = 2x + 1[/tex]
Therefore, y = 2x + 1 represent the equation of the line.
Answer:
C
Step-by-step explanation:
You need to solve for y = mx + b
You can solve for b right away. It is clear that the line crosses the y axis at (0,1) so you have
y = mx + 1 so far.
Normally you would need two clear points to solve for m, but since you know the y intercept, you need only 1 point.
The clearest point I can see is (-2,-3) which means that
x = -2
y = - 3
Put that into the equation and solve for m.
-3 = m(-2) + 1 Subtract 1 from both sides
-3-1 = m(-2) Combine
-4 = -2 m Divide both sides by - 2
-4/-2 = m
m = 2
Answer
only a and c are real choices. That's because m = 2 in both cases.
The equation we got is y = 2x + 1 which is c
Can someone help me? It's urgent and thank you!
Answer:
-6 and -1
Step-by-step explanation:
The excluded values are the values of x that satisfy [tex]2x^{2} + 14x + 12 = 0[/tex]
Let us solve the equation [tex]2x^{2} + 14x + 12 = 0[/tex]
It's a quadratic equation
Thus, let us calculate the discriminant Δ
Δ [tex]= 14^{2} - 4 .2.12 = 100[/tex]
the discriminant is greater than 0, so the equation has two solutions
[tex]x = \frac{-14 - 10}{4} = \frac{-24}{4} = -6[/tex] or [tex]x = \frac{-14+10}{4} = \frac{-4}{4} = -1[/tex]
the excluded values are -6 and -1
A
B
С
D
If mZACD = 70°, then mZBCD = [? ]°
Answer:
35 is correct
Step-by-step explanation:
hope this helps.
Answer:
35°
Step-by-step explanation:
Angle ACD is 70°. The little tick marks on the angle mean both sides of the split are the same amount. This means if you divide the angle in half, you will find out what both of them are equal to.
please help me answer this!!
Answer:
(x, y) = (10, 290)
Step-by-step explanation:
From the table
Total fees = fixed + variable
Fixed:
When number of times Ahmed mowed, x = 0
y = 40
When x = 2, y = 65
Rate of change = y2 - y1
= 65 - 40
= 25
y = 40 + 25x
Where,
y = total fees charged
40 = fixed fee
25x = variable fee
Total amount Ahmed will make for mowing 10 times
when x = 10
y = 40 + 25x
y = 40 + 25(10)
= 40 + 250
= 290
y = 290
(x, y) = (10, 290)
WILL MARK BRAINLIEST!!!!!find the length of AC
Answer:
20
Step-by-step explanation:
a²+b²=c²
25²-15²=b²
625-225=b²
400=b²
√400=√b²
20=b
Help me down below
PLEASE
Answer:
there is one more zero
Step-by-step explanation:
now it's 8 million rather than 800 thousand.
Acircle with radius of 2 cm sits inside a llcm x 12 cm
rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
Answer:
119.4
Step-by-step explanation:
The Area of the Rectangle : 132 cm
Area of the Circle : 12.6 cm
Shade= MINUS - 132 cm - 12.5 cm = 119.4!
Happy To Help! :)
What is the image of (10, -12) after a
dilation by a scale factor of centered at the
origin?
Answer:
-5, -3
Step-by-step explanation:
2. The average daily rainfall in London during April was 3.5 mm. How much rain fell during the month?
Answer:
105mm
Step-by-step explanation:
To find the rainfall during the month of April simply multiply the number of days in April times the average daily rainfall
Number of days in April: 30
Average daily rainfall: 3.5mm
Rainfall during the month = 30 * 3.5 = 105mm
28 Marks
.
Two numbers have these properties.
Both numbers are greater than 6.
Their highest common factor (HCF) is 6.
Their lowest common multiple (LCM) is 60.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and..
Answer:
HCF×LCM=a×b
6×60=a×b
a×b=360
So the numbers are whose product is 360 and LCM is 60
These two numbers can be 6,60 or 12,30
Can anyone help me on this I would appreciate it
Answer:
14
Step-by-step explanation:
Triangle=180
180-90 (RA) = 90
90-41= 39
(2x+11)=39
2x=28
x=14
Two vertices of a right triangle have the coordinates (-2, 5) and (9, 5). What is the length of the side formed by these vertices?
Answer:
11 unit
Step-by-step explanation:
Applying,
s = √[(y₂-y₁)²+(x₂-x₁)²]...................... Equation 1
Where s = length of the side formed.
From the question,
Given: x₁ = -2, x₂ = 9, y₁ = 5, y₂ = 5
Substitute these values into equation 1
s = √[(9+2)²+(5-5)²]
s = √(11²)
s = 11 unit.
Hence the length of the side formed by the vertices is 11 unit
Solve for y.
3= y+7 divided by 3
Y=
Answer:
y=2
Step-by-step explanation:
3 = (y+7)/3
Multiply each side by 3
3*3 = (y+7)/3 *3
3*3 = y+7
9 = y+7
Subtract 7 from each side
9-7 = y+7-7
2 =y
Answer:
2 = y
Step-by-step explanation:
3 = y + 7 ÷ 3
multiply both side of equation by 3
3 × 3 = y + 7 ÷ 3 / 3
9 = y + 7
subtract 7 from both side
9 - 7 = y + 7 - 7
2 = y
(e+8)°
(3e-4°
Need help asap thx
Answer:
e=44°
Step-by-step explanation:
3e-4+e+8 = 180 degree (being linear pair)
4e+4=180
4e=180-4
4e=176
e=176/4
e=44 degree
Se tienen 25 billetes de 5 y de 20 lempiras con un monto de 350 lempiras cuantos billetes de 5 lempiras se tienen y de 20 lempiras
Answer:
El número de facturas
5 lempiras = 10 billetes
20 lempiras = 15 billetes
Step-by-step explanation:
Vamos a representar
El número de facturas de
5 lempiras = x
20 lempiras = y
Nuestro sistema de ecuaciones se da como:
x + y = 25 ..... Ecuación 1
x = 25 - y
5 × x + 20 × y = 350
5x + 20y = 350 .... Ecuación 2
Sustituiríamos x por 25 - y en la ecuación 2
5 (25 - años) + 20y = 350
125 - 5 años + 20 años = 350
125 + 15 años = 350
15 años = 350 - 125
15 años = 225
y = 225/15
y = 15
Resolviendo para x
x = 25 - y
x = 25 - 15
x = 10
Por lo tanto, el número de facturas
5 lempiras = 10 billetes
20 lempiras = 15 billetes
What is the coefficient of the expression:
3n+4
Answer:
The coefficient is 3, the number right before the variable.
Answer:
3
Step-by-step explanation: