Answer:
x = 8.44, y = 7.56
Step-by-step explanation:
x + y = 16 (equation 1)
5x - 4y = 12 (equation 2)
(x + y = 16)× 5
(5x - 4y = 12) × 1
9y/9 = 68/9
y = 7.56
Substitute the value of x in equation 1
x + 7.56 = 16
x = 16 - 7.56
x = 8.44
Therefore, x = 8.44, y = 7.56
Answer:
x = 76 / 9 [ 8 (4 / 9) = [tex]8.\bar{4}[/tex] ]
y = 68 / 9 [ 7 (5 / 9) = [tex]7.\bar{5}[/tex] ]
__________________
Step-by-step explanation:
There are several methods that can be used to solve systems but in this situation, it is generally easier to cancel out a variable by adding the system of equations together.
This is how it's done:
x + y = 16
5x – 4y = 12
__________
4 ( x + y = 16 )
+ 5x – 4y = 12
[Multiplying the entire equation by 4 to cancel out the y because 4y – 4y = 0]
___________
4x + 4y = 64
+ 5x – 4y = 12
__________
9x = 76
÷9 ÷9
[Dividing by the coefficient of 9x in x to get x]
______
x = 76 / 9.
_______
Now that we have the x variable, you can simply substitute that quantity into x + y = 16 to solve for y.
So:
x + y = 16
[substituting the value of x into the equation]
(76 / 9) + y = 16
[Creating a common denominator that
can be canceled out]
(76 / 9) + (9y / 9) = (144 / 9)
76 + 9y = 144
[Subtracting 76 from both sides to isolate 9y]
–76 –76
__________
9y = 68
÷9 ÷9
[Dividing both sides by the coefficient of 9y in y to get y]
_________
y = 68 / 9
_________
We can also verify that these variables have the correct value because:
x + y = 16
5x – 4y = 12
→
(76 / 9) + (68 / 9) = 16
5(76 / 9) – 4(68 / 9) = 12
__________________
(76 + 68 / 9) = 16
(380 / 9) – (272 / 9) = 12
___________________
144 / 9 = 16
(380 – 272 / 9) = 12
__________________
144 / 9 × 9 = 16 × 9
108 / 9 = 12
__________________
144 = 144 ✓
108 / 9 × 9 = 12 × 9
_________________
144 = 144 ✓
108 = 108 ✓
After choir practice, Jamal and Bettina shared a pizza that was cut into 10 equal slices. Jamal ate 1/2 of the pizza, and Bettina ate 1/5 of the pizza. What percentage did Jamal and Bettina eat altogether?
A. 20%
B. 50%
C. 70%
D. 100%
Answer:
C 70%
Step-by-step explanation:
It is 70% because you are see what is it all together and so its 70%
Find the value of x. Round to the nearest 10th. Plzzz help!!!
Answer:
x = 7.15
Step-by-step explanation:
Taking 33 as the reference angle,
hypotenuse = x
base = 6
Cos 33 = base/hypotenuse
Cos 33 = 6 / x
x = 6/ cos 33
x = 7.15
Perform the indicated operation. (16 m2 + 40 m + 25) ÷ (4 m + 5) = _____
Answer:
hope it will help u in understanding..
if u r able to understand thn mrk it as brainliest.
Which will yield the most money at the end of a month?
a million dollar lump sum
start with one penny, and double the amount each day for a month
there is no way to determine which will yield more money at the end of the month
Answer:do the penny we did this question in class a while ago and u make a lot more then 1 million
Step-by-step explanation:
pretty sure if u do the math its 5 million if theres 30 days in the month
Find the measures of the angles and arcs identified below
Answer:
∠a = 42.5°
∠b = 87°
∠c = 174°
∠d = 90°
∠f = 131°
Step-by-step explanation:
∠a = 85°/2 = 42.5°
∠b = 360° -110° - 76° = 174°/2 = 87°
∠c = 360° -110° - 76° = 174°
∠d = 90°
∠f = 360° - 101° - (64° x 2) = 131°
Order the side from greatest to least.
Η.
28°
118°
K
J
side [Select ]
Answer:
HJ>KJ>HK
Step-by-step explanation:
Side opposite to the largest angle is the largest.
Side opposite to smallest angle is the smallest.
ang K = 118° ang J = 28°
ang K + ang J + ang H = 180° (Sum of all the angles in the triangle is 180°)
118°+28°+angH=180° (Putting the values of ang K & ang J)
146°+angH=180°
ang H=180°-146°
ang H=34°
128°>34°>28°
ang K>ang H>ang J
Here, ang K is the largest, so the side opposite to it i.e. HJ will be the largest side.
Smaller than ang K and bigger than ang J is ang H, so the side opposite to it i.e. KJ will be smaller than HJ but bigger than HK.
Ang J is the smallest angle, so the side opposite to it i.e. HK will be the smallest.
HJ>KJ>HK.
Janice has $64 left in her checking account. If she writes a check for $87, what
will Josie's balance be?
Answer:
-23
Step-by-step explanation:
64-87= -23
She would have a negative balance
Answer:
$64-$87= -23
Step-by-step explanation:
given the diagram, what is the measure of < B, rounded to the nearest tenth
Answer:
41.4
Step-by-step explanation:
cos(b) = 12/16
b=arccos(12/16)=41.4 to the nearest tenth
Answer:
41.4° is your answer look it once
in the figure below, lines p and q are parallel. What is the value of x?
Answer:
x = 79
Step-by-step explanation:
180 - 101 = x
x = 79
Answer:
79 degrees
Step-by-step explanation:
Since the lines are parallel, x is equal to r which is equal to 79 degrees.
En el transcurso del 2015 – 2018 visitaron alrededor de 8700 turistas la playa, de los cuales el 35,10% fueron Extranjeros y el 64,9% fueron nacionales. ¿Cuántos turistas fueron extranjeros y cuantos nacionales?
Answer:
Los turistas extranjeros fueron 3054 y los turistas nacionales fueron 5646.
Step-by-step explanation:
De acuerdo a la información proporcionada, debes calcular el 35,10% del total de turistas para determinar el número de turistas extranjeros y el 64,9% del total de turistas para encontrar el número de turistas nacionales:
8700*35,10%=3054
8700*64,9%=5646
De acuerdo a esto, la respuesta es que los turistas extranjeros fueron 3054 y los turistas nacionales fueron 5646.
Circumference = ×What is another way to write this?
Answer:
2 × pi × radius
..................
20 Points!!!! PLEASE help!! Math!! Due soon!!
Answer:
the first one is true, the third one is true, the fourth one is true, the fifth one is true
Step-by-step explanation:
the second one is false
What is the day after the day after tomorrow if the day before the day before yesterday was Friday ?
Answer:
Wednesday
Step-by-step explanation:
Friday is the day before the day before yesterday
Saturday is the day before yesterday
Sunday is yesterday
Monday is today
Tuesday is tomorrow
Wednesday is the day after tomorrow
Answer:
i cant seem to find ur anwser it seems confusing
Step-by-step explanation:
it is confusing
show work to determine if (1,4) is a solution to the system: y - 2x = 2 and y=4x - 6
Answer:
not a solution
Step-by-step explanation:
To determine if (1, 4) is a solution to the system
Substitute x = 1, y = 4 into the equations and check validity
y - 2x = 2
y - 2x = 4 - 2(1) = 4 - 2 = 2 = right side ← True
4x - 6 = 4(1) - 6 = 4 - 6 = - 2 ≠ 4 ← False
First equation is satisfied but second is not
Thus (1, 4) is not a solution of the system
A cuboid has dimensions 8 cm x 10 cm x 2 cm.
Work out the surface area of the cuboid.
Surface area=
cm2
Submit Answer
Answer:
56m2
Step-by-step explanation:
could you give me the answer and not a file that gives me the answer?
Answer:
y=3x+1
Step-by-step explanation:
slope is 3 (up 3 over 1) and y-intercept is 1
(1.3x + 2.4) + (-6.1x – 3.2)
Step-by-step explanation:
In simplify form: 1.3x+2.4-6.1-3.2 = -4.8x-0.8
or factor the expression: =-4/5×(6x+1) Alternate form: -0.8(6x+1). I hope this helps.
if you deposit 4500 at 5% annual interest compounded annually how much money will be in the account after 30 months
Answer:
A = $ 50,978.44
Step-by-step explanation:
First, convert R percent to r a decimal
r = R/100
r = 5%/100
r = 0.05 per year,
Then, solve our equation for A
A = P(1 + r/n)nt
A = 45,000.00(1 + 0.004166667/12)(12)(2.5)
A = $ 50,978.44
solve the following quadratic equation (x-16)^2=256
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
Answer:
[tex]sln \\ x {}^{2} - 16 {}^{2} = 256 \\ x {}^{2} = 256 - 16 {}^{2} \\ x {}^{2} = 256 - 256 \\ x {}^{2} = 0 \\ x = 0[/tex]
I hope this help you
What expressions represent the sum of 2 divided by x and 15
PLZ HELP!!
Peter and Xavier throw a ball in the air and create function models to show the trajectory. The variable x represents time in seconds after the ball was thrown and f(x) represents the height in meters.
The path of Peter's ball is represented by the function, f(x)=−4.9x2+22.54x+1.9.
The path of Xavier's ball is represented by the table.
Select the answers from the drop down menus to complete the statements.
Choose...
ball is thrown from a greater height off the ground.
Choose...
ball reaches a greater maximum height.
Answer:
Step-by-step explanation:
find 5 rational numbers between 1 and 2
Answer:
Five rational numbers between 1 and 2 are 11/10, 12/10, 13/10, 14/10, and 15/10.
Answer:
Five rational numbers between 1 and 2 are 11/10, 12/10, 13/10, 14/10, and 15/10.
Step-by-step explanation:
Hope this helps!
Identify the a, b and c terms from the equation 3x^2+5x-2.
Answer:
a - 3
b - 5
c - -2
Step-by-step explanation:
The quadradic formula is:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
When:
[tex]ax^2+bx+c[/tex]
This is the standard form of a quadradic equation.
We have the equation:
[tex]3x^2+5x-2\\\\[/tex]
Recall the standard form.
'3' is in a's place, '5' is in b's place, and '-2' is in c's place.
Hope this helps you.
Use the GCF to factor:
16h + 24m
Answer:
8(2h +3m)
Step-by-step explanation:
Greatest common factor is 8
8(2h +3m)
3. 3(2x - 1) + 4 = 3 - 5(1 - x)
Answer:
= -3
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
1/4x1/4 as a fraction I’m sorry guys
Step-by-step explanation:
1/4x1/4
fraction =1/16
The value of the expression [tex]\frac{1}{4} * \frac{1}{4}[/tex] can be expressed as as a fraction as [tex]\frac{1}{16}[/tex]
What is fraction ?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. Every number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
Given [tex]\frac{1}{4} * \frac{1}{4}[/tex]
Then we can multiply the numerators as well as the denominators which will gives us
[tex]\frac{1}{16}[/tex]
Learn more about fraction at;
https://brainly.com/question/78672
#SPJ6
Here is an expression 3*2t
evaluate the exoression when t is 4
Last one for tonight!
Answer:
24
Step-by-step explanation:
3 * 2 = 6 * 4 = 24
Answer: 48
Step-by-step explanation:
3 x 2^4 =3 x 16 = 48
Do question 2 please and fill in the blanks
Answer:
v
w
x
y
z
Step-by-step explanation:
n..................
Combine the like terms to create an equivalent expression. 7n + 4n
Answer:
11n
Step-by-step explanation:
PLZ HELP WILL GIVE BRAINLEST HELP ASAP
Answer:
176 feet
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
find the circumference then multiply by 24 then find the answer that is the closest