Answers
[tex] \frac{30}{25} = \frac{4x - 4}{20} \\ [/tex]
[tex] \frac{5 \times 6}{5 \times 5} = \frac{4x - 4}{20} \\ [/tex]
[tex] \frac{6}{5} = \frac{4x - 4}{20} \\ [/tex]
Multiply both sides by 20
[tex]20 \times \frac{6}{5} = 20 \times \frac{4x - 4}{20} \\ [/tex]
[tex] \frac{5 \times 4 \times 6}{5} = 4x - 4 \\ [/tex]
[tex]24 = 4x - 4[/tex]
Add both sides 4
[tex]24 + 4 = 4x - 4 + 4[/tex]
[tex]28 = 4x[/tex]
Switch sides
[tex]4x = 28[/tex]
Divide both sides by 4
[tex] \frac{4x}{4} = \frac{28}{4} \\ [/tex]
[tex]x = 7[/tex]
There you go...
Have a great day ❤
Related Questions
Write the line (-5,-6) with slope 2/5 in point-slope form
Answers
Answer:
[tex]y+6=\frac{2}{5} (x+5).[/tex]
Step-by-step explanation:
1) the common form of the point-slope form is y-y₁=s(x-x₁), where s - the slope, (x₁;y₁) - the point belongs to the required line;
2) if s=2.5; x₁= -5; y₁= -6, then the required equation is:
y+6=2/5(x+5).
ABCD is a rectangle. Its diagonals meet at O. Find the value of x if BO = 3x + 4 andOC = x + 8 .Also find the length of its diagonals.(Lengths are in cm).
pls help will mark as brainlist
Answers
Step-by-step explanation:
the lengths OB, OC & BC together forms a isosceles triangle.
therefore,
OB=OC
3x+4=x+8
2x=4
x=2.
OB = 3x+4= 3.2+4=10cm.
OC= x+8= 2+8=10cm.
therefore, the diagonals are : 20cm each.
hope this helps you.
plz help will mark as brainliest
Answers
Answer:
45⁰
according to question the answers is given here in the image / attachment . please follow these steps.
this is my attachment answer hope it's helpful to you
Solve the system of equations by substitution.
3x + y = 9z
-5x + 2y = -4z
What is the value for y from the first equation, that could be substituted into the second equation?
-9z + 3x
3z + 9x
9z - 3x
-3x - 9z
Answers
Answer:
x = 1.27
y = 5.18
Step-by-step explanation:
to solve this system of equation by simultaneous equation we say that let
3x+y=9.............................. equation 1
-5x+2y=4 .......................... equation 2
from equation 1
3x+y=9.............................. equation 1
y = 9 -3x.............................. equation 3
substitute the value of y = 9 -3x into equation 2
-5x+2y=4 .......................... equation 2
-5x + 2( 9 -3x) = 4
-5x + 18 - 6x = 4
collect the like terms
18 - 4 = 6x + 5x
14 = 11x
divide both side by 11
14/11 = 11x/11
x = 14/11
x = 1.27
put the value of x = 1.27 into equation 3
y = 9 -3x.............................. equation 3
y = 9 - 3( 1.27)
y = 9 - 3.82
y = 5.18
to check if you are correct put the value of x and y into either equation 1 or equation 2.
3x+y=9.............................. equation 1
3( 1.27) + 5.18 = 9
3.81 + 5.18 = 9
9 = 9
Quadrilateral ABCD has the following
vertices:
A(2, 7)
B(8,1)
C(1, -9)
D(-6, -2)
Is quadrilateral ABCD a parallelogram, and
why?
Answers
Answer:
Yes
Step-by-step explanation:
Because it’s a trapezoid and those can be trapezoid because they have one pair of parallel sides and a parallelogram has two pairs of parallel sides so a parallelogram is also a trapezoid.
peter cuts a piece of string into three lengths one is 4.26cm long one is 7.54cm long and the third is 3.90cm long how long was the string before it was cut
Answers
Answer:
15.70cm
Step-by-step explanation:
add to get total
4.26+7.54+3.90
Answer is 15.70cm
Answer:
15.7 cm
Step-by-step explanation:
The 3 lengths are of 3 strings that used to make up 1 string, so add all 3 lengths to find the length of the string before it was cut.
Choose the best compatible numbers to find an estimated product or quotient.
2,127 ÷ 405
A. 2,100 ÷ 300 = 7
B. 2,000 ÷ 500 = 4
C. 2,400 ÷ 400 = 6
D. 2,000 ÷ 400 = 5
Answers
Which of the following travel in waves? Select all that apply.
1. Air
2. Light
3. Scent
4. Sound
Answers
Answer:
Sound and Light
Step-by-step explanation:
Just did this and got it right!!
Hope it helps you!!! :)
solve for the wavelength frequency and energy then identify the type of electromagnetic wave to complete the table
Answers
Answer:
See attachment
Step-by-step explanation:
λν = c [Wavelength, λ (lambda), times frequency, ν (nu), equals the speed of light.]
c = 3.0 x 108 m/s.
E = hν
h = Plank's constant = 6.626x10-34 J-s
I put the data in a spreadsheet and calculated the values as per the equations above. The table showing the types of energy was not attached, so I left that column blank. I assume it is looking for labels such as UV, Visible, IR, Radio, etc.
What is the inequality shown?
Answers
Helppppppppppppppp meee
Answers
Multiply both sides of the inequality by
Move the constant to the right-hand side and change its sign
1 Solve for the unknown variable:
Answers
Answer:
Hypotenuse^2 = Opposite^2 + Adjacent^2
Step-by-step explanation:
Here hypotenuse is c, opposite is a and adjacent is b.
c^2 = a^2 + b^2
16^2 = a^2 + 12^2
a^2 = 16^2 - 12^2
a^2 = 112
a = √112 or 10.58
As the question uses inches I think it would be better if you wrote 10.58 in.
Hopefully this helps!!
Can someone reflect (7,6) across the x axis then reflect across the y axis
Answers
Answer:
(7, -6)
(-7, -6).............
..
Answer: -7,-6
Step-by-step explanation:
So if we look at a graph 7,6 is on the right upper quadrant since its completely positiv, once we relfect the x axis then it becomes 7,-6 then once we reflect across the why axis it finally becomes -7,-6
I need help with the whole problem
Answers
2(30)=60
60+30=90
Right angles = 90 degrees :)
A 10-year-old and a 5-year-old both eat similar-sized apples. Which child burns the energy faster?
Answers
Answer:
10 year old
Step-by-step explanation:
because the 10 year old has a better developed body than a 5 year old.
Hope this helps, have a nice day/night! :D
Karly used 3.5cans of tomato sauce to make lasagna. Each can contains 10.5 ounces. How many ounces of tomato sauce is in the lasagna?
Answers
Answer:
31.75
Step-by-step explanation:
if there are 3.5 (or 3 and a half) cans in the lasagna and each holds 10.5 oz, you can use 3.5x10.5 to solve it.
find the measure of angle 1 and angle 2. justify your answer
Answers
Answer:
∠ 1 = 95° , ∠ 2 = 130°
Step-by-step explanation:
∠ 1 = 95° ( alternate angles )
∠ 2 and 50° are same- side interior angles and sum to 180°
∠ 2 + 50° = 180° ( subtract 50° from both sides )
∠ 2 = 130° ( same- side interior angle )
What is the equation in slope-intercept form for the line that passes through the points
-4,3 and 2,-6 (slope intercept form)
Answers
Answer:
check the file to see the answer i added a screen shot of the answer
Step-by-step explanation:
Solve each equation by completing the square.
X^2 +2x-5=0
N^2-20n+2=4
Answers
Step-by-step explanation:
x² + 2x - 5 = 0
that is the same as
x² + 2x + 1 = 6
(x + 1)² = 6
x + 1 = ±sqrt(6)
x = -1 ± sqrt(6)
x1 = -1 + sqrt(6)
x2 = -1 - sqrt(6)
n² - 20n + 2 = 4
this is the same as
(n - 10)² = 102
n - 10 = ±sqrt(102)
n = 10 ± sqrt(102)
n1 = 10 + sqrt(102)
n2 = 10 - sqrt(102)
Write an equation with the given information in slope- intercept form.
m=-1/2; y intercept (0,4)
Answers
identify the proportional relationship.
1. y = x + 2
2. y = -x
3. x = 2
4. y = -2x - 1
Answers
Answer:
y = -x
Step-by-step explanation:
Answers 1 and 4 have an offset (+2 and -1) that interferes. x = 2 is not a proportion. It is simply a statement that x = 2. It is not allowed in the high stakes room.
Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "not proportional" into the box.
x 2 3 4 5
y 6 9 12 15
Answers
Answer:
The table is proportional.
Step-by-step explanation:
When you multiply x by 3 the answer is y.
2 x 3= 6
3 x 3= 9
4 x 3= 12
5 x 3= 15
Answer:
Whats the badword anwser when its been a year you need to tell us badword
Step-by-step explanation:
help me with this pls asap
Answers
Answer: 0.29
Step-by-step explanation:
Divide x by y. See attachment.
can someone help???
Answers
Answer:
dilation by a factor of 1/3 about the origin
Step-by-step explanation:
Triangle B has 1/3 the dimensions of triangle A, and it is 1/3 as far from the origin. The transformation of interest is ...
dilation by a factor of 1/3 about the origin
Which graph is not a function ? Why isn’t it ?
Answers
Answer:
Graph 2
Step-by-step explanation:
Graph two is not a function because it does not pass "the vertical line test", which is a method of determining if a graph is a function or not. To do this, we use our pen to check that for every x value there is only one y value. In graph two, however, this is not the case.
helppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
if $15.98----> 2kg
$x --------> 7kg
cross multiply
$x= (15.98 x 7)/2
x = $55.93
Using the appropriate Algebraic identity evaluate the following:(3p -q) (3p +q)
Answers
Step-by-step explanation:
expand and multiply the terms
Hi, I need help with this question. Pls, explain your answer.
Eric deposits $500 in a bank account that pays 3.5% interest, compounded yearly. Which type of function should he use to determine how much money he will have in the account at the end of 10 years?
(1) linear (3) absolute value
(2) quadratic (4) exponential
Answers
Answer:
(4) exponentialStep-by-step explanation:
According to given, the function is:
A = P(1 + r)ⁿor
A = 500(1 + 3.5/100)¹⁰ = 500*1.035¹⁰This is an exponential relationship
Correct choice is (4)
To determine the money Eric will have in his bank account, he needs to use an exponential function.
What is a compound interest?This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.
Here, to find the amount of money after 10 years, we need to use the formula S = P(1 + r)ⁿ.
Here, S = sum of money after the total period of investment.
P = Principle = $500, r = rate of interest = 3.5%, n = time period = 10 years.
Now, S = $500(1 + 3.5/100)¹⁰ = $500(1 + 0.035)¹⁰ = $500(1.035)¹⁰ = $705.3
Hence, after 10 years, Eric will have $705.3 in his bank account.
Learn more about compound interest here: https://brainly.com/question/25857212
#Tag #SPJ2
A ball is thrown directly upward from height of 2 ft with an initial velocity of 24 ft/sec. The function is s(t)=-16 t^2+24t+2 give the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reflects its maximum height and find the maximum height.
Answers
Answer:
time: 0.75 secondsheight: 11 feetStep-by-step explanation:
A graphing calculator shows you the maximum height of 11 feet is reached after 0.75 seconds.
__
A quadratic of the form ax² +bx +c has its vertex at x=-b/(2a). Here that means the time to the maximum height is ...
t = -24/(2(-16)) = 24/32 = 3/4 . . . seconds to maximum height
The height at that time is ...
s(3/4) = (-16(3/4) +24)(3/4) +2 = (-12 +24)(3/4) +2 = 9 +2
s(3/4) = 11 . . . . feet at maximum height
Write numbers in the number grid to make it correct. 4 9 35
Answers
Middle left is 10
Middle right is 15