Answer:
x= 7
Step-by-step explanation:
3x -15 =6
+15 +15
3× = 21
3/21
× = 7
Freddy saved two-thirds as much money as Jimmy.
Jimmy saved 5 times as much money as Miriam.
Together they saved $1400. How much did each
save?
Answer:
1400=y+(y×5)+y(×2/3)
y=210
0 = 5² - 2х + 6
a) x = 1 ± 3i / 2
b) x = 1 ± √11 / 5
c) x = 1 ± i √29 / 5
Answer:
c) x = 1 ± i √29 / 5
Step-by-step explanation:
assuming we are solving for x we can use the quadratic formula
quadratic formula : [tex]\frac{-b+or-\sqrt{b^2-4(a)(c)} }{2(a)}[/tex]
where the values of a,b and c are derived from the equation
the equation is put in quadratic form : ax² + bx + c
so in 5x² -2x + 6 a = 5 , b = - 2 and c = 6
we then plug these values of a, b and c into the quadratic formula
recall quadratic formula [tex]\frac{-b+or-\sqrt{b^2-4(a)(c)} }{2(a)}[/tex]
a = 5 , b = - 2 , c = 6
[tex]\frac{-(-2)+or-\sqrt{(-2)^2-4(5)(6)} }{2(5)}[/tex]
remove parenthesis at -(-2) to get positive 2 because the negative signs cancel out
[tex]\frac{2+or-\sqrt{(-2)^2-4(5)(6)} }{2(5)}[/tex]
evaluate exponent
[tex]\frac{2+or-\sqrt{4-4(5)(6)} }{2(5)}[/tex]
multiply -4(5)(6)
[tex]\frac{2+or-\sqrt{4-120} }{2(5)}[/tex]
subtract 120 from 4
[tex]\frac{2+or-\sqrt{-116} }{2(5)}[/tex]
multiply 2 and 5
[tex]\frac{2+or-\sqrt{-116} }{10}[/tex]
because we cant have a negative square root we replace the negative sign with i (which equals -1 ) and add it to the outside of the square root
[tex]\frac{2+or-i\sqrt{116} }{10}[/tex]
we then simplify the radical
[tex]\frac{2+or-2i\sqrt{29} }{10}[/tex]
we then simplify the fraction
2/10 = 1/5 so both 2's cancel out
[tex]\frac{1+or-i\sqrt{29} }{10}[/tex]
the answer is C
HELP THIS IS DUE SOON!
find the error!
Answer:
Step 1
Step-by-step explanation:
they were supposed to multiply 2x by 4 and -1 by 4 but they only multiplied 2x by 4.
Answer:
B. Incorrect with error in STEP 1
Step-by-step explanation:
3x - x + 4 = 4(2x - 1)
Step 1: Simplify
2x + 4 = 8x - 4
Step 2: Subtract 8x from both sides.
2x+4−8x=8x−4−8x
−6x+4=−4
Step 3: Subtract 4 from both sides.
−6x+4−4=−4−4
−6x=−8
Step 4: Divide both sides by -6.
-6x/-6 = -8/-6
x = 4/3
so, the other answer is wrong because she did not multiply the numbers in the parenthesis correctly
find the radius of a cylinder with a volume 686mm2 and a height of 14mm
Answer:
r = 3.95 mm (nearest hundredth)
Step-by-step explanation:
[tex]\textsf{volume of a cylinder} = \pi r^2h[/tex]
(where r = radius and h = height)
Given, volume = 686 mm² and height = 14 mm:
[tex]686=\pi r^2\times14[/tex]
[tex]\implies\pi r^2=686 \div14=49[/tex]
[tex]\implies r^2=49 \div \pi[/tex]
[tex]\implies r=\sqrt{49 \div \pi }=3.949327085...[/tex]
[tex]\implies r=3.95 \ \textsf{mm}[/tex]
the sum of ten times a number and 12
Answer:it’s 10x + 12
Step-by-step explanation:
your welcome
The sum of ten times a number and 12 can be written as 10x + 12.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The expression "ten times a number" can be represented as 10x, where x is the number.
So, "the sum of ten times a number and 12" can be written as:
10x + 12
This expression represents a mathematical operation where 10 times the number is added to 12.
Thus,
The sum of ten times a number and 12 can be written as 10x + 12.
Learn more about expressions here:
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1/3(z+1/5)=-2/5 what’s z?
Answer:
(exact form) z= -7/5
or
(decimal form) z= -1.4
or
(mixed number form) z= -12/5
Step-by-step explanation:
Answer:
The value of z is -7/5
Step-by-step explanation:
1/3 (z + 1/5) = -2/5
z/3 + 1/5 × 3 = -2/5
z/3 + 1/15 = -2/5
15z + 3/45 = -2/5
15z + 3 = -2(45) ÷ 5
15z + 3 = -2(9)
15z + 3 = -18
15z = -18 – 3
15z = -21
z = -21/15
z = -7/5
Thus, The value of z is -7/5
-TheUnknownScientist 72
Three friends each bought matching necklaces and one pair of earrings. The necklaces were priced at $30.00. If the total bill for all 3 friends was $180.00, what was the price of one pair of earrings?
use the distributive property to write expression without parenthesis 6(6x-5)
Answer: 36x-30
Step-by-step explanation:
6 times 6x is 36x and 6 times -5 is -30
Answer:
The answer is 36x – 30
Step-by-step explanation:
6(6x – 5)
6 × 6x – 6 × 5
36x – 30
Thus, The answer is 36x – 30
-TheUnknownScientist 72
PLS HELP 30 POINTS
Find the area of the composite figure.
Answer:
104 m²
Step-by-step explanation:
From inspection of the diagram, we can see that the composite figure is made up of a triangle and a rectangle.
Triangle
If you turn the figure 90° clockwise, you will see that the base of the triangle = 8m and the height of the triangle = 6m.
Area of a triangle = 1/2 x base x height
⇒ area of the triangle = 1/2 x 8 x 6 = 24 m²
Rectangle
From inspection, the length of the rectangle = 10m and the width = 8m
Area of a rectangle = length x width
⇒ area of the rectangle = 10 x 8 = 80 m²
Composite figure area
Therefore the total area of the figure = area of triangle + area of rectangle
⇒ total area = 24 + 80 = 104 m²
Answer:
104 m^2
Step-by-step explanation:
See attached image.
A rational number between 11 and 12
Answer:
it would be 23/2
Step-by-step explanation:
Answer:
11.5
Step-by-step explanation:
A rational number is one that does not repeat.
Laurie is trying to stay within 10 feet of her current diving depth of -30 feet (with regard to sea level) so that the light
is still good but she can be close to the sea life during her scuba dive. Which two equations can be used to find the
minimum and maximum depths Laurie wants to stay between?
-30 - x = 10 and -30 - x = -10
-30 + x = 10 and -30 + x = -10
x + 10 = 30 and x + 10 = -30
O X - 10 - 30 and x - 10 = -30
Answer:
I believe it's the 1st one.
HOPE IT HELPS! BE SAFE :3
Answer:
A
Step-by-step explanation:
Write the equations of the lines described.
The line has a slope of 1/5 and y-intercept of (0, -4)
Answer:
y=1/5x-4
Step-by-step explanation:
Hi there!
We want to write the equation of the line, and we're given that the line has a slope of 1/5, and the y intercept of the line is (0, -4)
There are multiple ways to write the equation of the line, the most popular being slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
We are already given the slope (1/5), so we can plug it in as m in the equation.
y=1/5x+b
Now for b, we are also given the y intercept; the value of b is the value of y at the point of the y intercept
In this case, b would equal -4
So substitute -4 as b into the equation:
y=1/5x-4
This is the equation of the line.
Hope this helps!
Take a look here for a similar problem to practice if you wish: https://brainly.com/question/21717067
The balance after the grace period is $25,000. A payment of $5,000 is made on the 10th day. A payment of $5,000 is made on the 20th day. What is the average daily balance?
The average daily balance after 20 days is; $1750
Average BalanceThe initial balance after grace period is; $25,000
Afterwards, A payment of $5,000 each is made on the 10th and 20th day.
Hence, the total balance after 20 days is;
= $25,000 + $5000 + $5000= $35,000.The average daily balance is therefore the quotient of $35,000 and 20 days
The average daily balance = $35,000/20Average daily balance = $1750Read more on average;
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Select the correct answer.
Which sentence uses correct spelling, punctuation, and grammar?
A.
Just slightly larger than nearby Venus, Earth is the biggest of the terrestrial planets.
B.
In the Summer seasons' my dad likes to take an annual fishing trip to the Mountains.
C.
The City of Los Angeles is home to many people of different backgrounds and ethnicities.
D.
Lake superior covers 31,700 square miles, it is the largest lake by area in the United States.
Answer:
See below.
Step-by-step explanation:
The answer is A.
-hope it helps
Answer:
A
Step-by-step explanation:the period is correct.
step 1= read it 3 times
Does the point (-2,-3) lie in the graph of y>2x+1?
Answer:
Yes.
Step-by-step explanation:
Replace x with -2 and y with -3.
-3 = 2(-2) + 1
-3 = -4 + 1
Is -3 = -4 + 1?
Yes, so the answer is yes.
A 50 kg box is placed on a table.A force of 50N upwards is exerted on the box.What would you observe happening to the box?
A.The box would remain stationary on the table
B.The box would lift off the table for a short time and then fall down again
C.The box would move upwards
D.The box Would move downwards
Can someone help me?? brainlest on the way if you do
Answer:
I will help if you tell me the question
Answer:
what do u need help with
Step-by-step explanation:
Set up a proportion and solve.
1) On a map, the key indicates that 2.5 centimeters equal 10 miles. A
road on the map runs for 30 centimeters. How long is the road?
Answer:
120 miles
Step-by-step explanation:
A proportion is a ratio that equals a ratio. I'm going to use cm/miles when I setup the proportion.
[tex]\frac{2.5}{10} =\frac{30}{x}[/tex]
Cross multiply
2.5x = 300
divide
2.5x/2.5 = 300/2.5
x = 120 miles
Let's say you have this data: 25, 26, 24, 26, 25, 7, 8, 8, 15, 10, 25, 24, 26 What should your bin size be if you want to have 10 bins
find the domain of
- y/(y-6) +15/(y+6)
- y-10/y^2+3
Answer:
Step-by-step explanation:
Domain of a function represents the set of x-values (input values) and y-values (output values) of the function represent the Range of the function.
Given function is,
If Domain (input values) of this function is,
{-12, -6, 3, 15}
Table for the input-output values of this function,
x -6 3 15 -12
y 11 5 -3 15
HELP Solve for w x and y
Answer:
x = 24
PS = 45
Step-by-step explanation:
Perimeter of P Q R S is :
( 4x + 1 ) + ( 2x - 3 ) + ( 2x - 3 ) + 4 + ( 4x + 1 )
4x + 1 + 2x - 3 + 2x - 3 + 4 + 4x + 1
And in the question , given that the perimeter of this figure is 288.
Now let us find the value of x.
4x + 1 + 2x - 3 + 2x - 3 + 4 + 4x + 1 = 288
4x + 2x + 2x + 4x + 1 - 3 - 3 + 4 + 1 = 288
12x + 0 = 288
12x = 288
Divide both sides by 12
x = 24
And now let us find the value of PS
PS = 2x - 3
PS = 2× 24 - 3
PS = 48 - 3
PS = 45
Hope this helps you :-)
5. Rewrite the following equation in standard form.
2y=-3/4x-2/3
Answer:
9x +24y = -8
Step-by-step explanation:
2y + 3/4 x = -2/3 ( multiple by 4)
24y + 9 x = -8 (move x to the front)
9x + 24y = -8
3 rhombi are connected at a point, side by side. All sides are congruent. Juan is making a model out of rhombi. Each rhombus will be connected to the one before it. Each rhombus will be 6 inches tall and 4 inches wide. How much paper does he need for each rhombus? square inches If his wall is 11 feet long, how much paper does he use? square inches.
Rhombus has all sides equal. The total amount of paper that will be needed to cover the wall is 396 in².
Given to us
Each rhombus will be 6 inches tall and 4 inches wide.
A.)
The area of each rhombus can be found using the formula,
[tex]Area = \dfrac{1}{2} \times d_1 \times d_2[/tex]
We know that diagonals of the rhombus are of length 6 in and 4 in. therefore,
[tex]Area = \dfrac{1}{2} \times 6 \times 4\\\\Area = 12\ in^2[/tex]
Hence, the area of the single rhombus is 12 in².
We know that the wall is 11 feet long, also, 1 foot = 12 inches, therefore,
11 feet = 132 in.
Now, since the wall is 132 in long and the width of the rhombus is 4 in, therefore, the number of rhombi that will be needed,
[tex]\dfrac{132}{4} =33[/tex]
Hence, the number of rhombi that will be needed is 33.
We know the area of each paper rhombus, also, we know the number of rhombi that will be needed. Therefore,
[tex]33 \times 12 = 396\ in^2[/tex]
Hence, the total amount of paper that will be needed to cover the wall is 396 in².
Learn more about Rhombus:
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Answer:
3 rhombi are connected at a point, side by side. All sides are congruent.
Juan is making a model out of rhombi. Each rhombus will be connected to the one before it. Each rhombus will be 6 inches tall and 4 inches wide.
How much paper does he need for each rhombus?
✔ 12
square inches
If his wall is 11 feet long, how much paper does he use?
✔ 396
square inches
Step-by-step explanation:
egd
A line passes through the point (-9,-4) and has a slope of -2/3 . write an equation in slope intercept form for this line
Answer:
[tex]y=-0.667x+-10[/tex]
Step-by-step explanation:
Given the following question:
Point A = (-9, -4), (x1, y1)
Point B = (-6, -6), (x2, y2)
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{-6--4}{-6--9} =\frac{-2}{3}[/tex]
[tex]m=\frac{-2}{3}[/tex]
Write in slope intercept form:
[tex]y=mx+b[/tex]
[tex]m=\frac{-2}{3}=-2\div3=-0.667[/tex]
[tex]y=-4[/tex]
[tex]x=-9[/tex]
[tex]-4=-0.667\times-9+b[/tex]
[tex]-0.667\times-9=6[/tex]
[tex]b=-10[/tex]
[tex]y=-0.667x+-10[/tex]
Hope this helps.
identify the trinomial that is not a perfect square
Answer: To test whether the given trinomial is a perfect square, we should try to write the trinomial in the form of a² + 2ab + b² (or) a² - 2ab + b² If we are able to write the given trinomial in the above form, then it is perfect square. Otherwise the given trinomial is not a perfect square.
Step-by-step explanation:
when a number is increased by 9.5% the result is 58 what is the original number to the nearest tenth?
Answer:
53 i think
Step-by-step explanation:
2) Choose the best answer.
Find the volume of this terrarium. You may use a calculator to find the answer.
l = 5 m, w = 1 m, h = 3 m
A. 30 m2
B. 15 m3
C. 5 m2
D. 7.5 m3
E. 9 m3
p
Pelz I really really need help:(
Answer:
B. 15 m^3
Step-by-step explanation:
The volume of a rectangular prism is the product ...
V = lwh
For the given values of l, w, h, the volume is ...
V = (5 m)(1 m)(3 m) = 15 m^3
What is the value of x in the figure below? In this diagram, ABD similar to CAD.
Answer:
x = [tex]\frac{25}{4}[/tex] so the answer is B
Step-by-step explanation:
If each side of a square grows 6 mm, the area of the square is multiplied by 16. How long are the sides of the original square?
Answer:
2 mm
Step-by-step explanation:
Let x be the sides of the original square,
then the area of the original square is x^2
The sides of the new square is x + 6
The area is (x + 6)^2
Then (x + 6)^2 = 16*x^2
Take square root on both sides and get
x + 6 = 4x,
3x = 6
so x = 2 mm
The total employment for police officers in 2006 was 648,000. If there are 719,000 police officers in 2016, what will the percent increase have been? a. 5. 12% b. 10. 96% c. 11. 09% d. 22. 07% Please select the best answer from the choices provided A B C D.
Answer:
The answer is A. 12%
Step-by-step explanation: