1) 36
2) 143
3) 18
4) 12
5) 15
6) 108
7) 58
The key here is to perform direct substitution in each problem.
I'll do a quick working down here
1) 9(8-4)= 9*4 =36
2) 4(5*4)+7*9= 80+63 =143
3) 114-(3*8*4)= 114-96=18
4) 24/(1*2) = 24/2 = 12
5) 19 - (28/7) = 19- 4 = 15
6) 3 (6)^2 = 3*6*6= 108
7)49 - 3(3)^2 + (6)^2 = 49-27+36= 58
How many whole numbers less than 2,700,000 end with the digits 2014?
Answer:
1,002,014
Step-by-step explanation:
Each of 3 water sprinkler systems covers a semicircle with radius 2m on the
side of a house shown.
What amount of area remains dry? Show your work to explain how you go
your answer, to the nearest square meter. (Dry area is in the shaded
region.)
Answer:
5 meters
Step-by-step explanation:
We can obtain the entire area, both shaded and non-shaded by finding the area of the rectangle ;
Area of rectangle = Length * width
Length = 12 ; width = 2
Area of rectangle = 12 * 2 = 24 m²
Area of semicircle = πr² / 2
The radius, r of each semicircle = 2
Area of each semicircle = π * 2² / 2 = 6.283 m²
Area of the 3 semicircles = 3 * 6.283 = 18.849 m²
Area of dry region:
(24 - 18.849) m²
= 5.151 m²
= 5 m
( 3x + 1 ) ( x - 4 ) - ( x + 2 ) ( x - 3 ) = ( 2x + 5 ) x
Giúp tớ tính với
[tex]\sf \bf {\boxed {\mathbb {x\:=\:0.1333}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](3x + 1)(x - 4) - (x + 2)(x - 3) = (2x + 5)x\\[/tex]
[tex] ➺\: 3x \: (x - 4) + 1 \: (x - 4) - x \: (x - 3) - 2 \: (x - 3) = (2x + 5) \: x\\[/tex]
[tex] ➺\: 3 {x}^{2} - 12x + x - 4 - {x}^{2} + 3x - 2x + 6 = 2 {x}^{2} + 5x\\[/tex]
[tex] ➺\: 2{x}^{2} - 2 {x}^{2} - 10x - 5x + 2= 0\\[/tex]
[tex] ➺\: - 15x = - 2\\[/tex]
[tex]➺ \: x = \frac{ - 2}{ - 15} \\[/tex]
[tex]➺ \: x = \frac{2}{15}\\ [/tex]
[tex] ➺\: x = 0.1333[/tex]
[tex]\huge\bf\purple{*Mystique 35♡༉}[/tex]
Question 8
A scuba diver was thirty feet below the surface of the water and ascended
thirteen and a half feet. The diver then descended an additional fifteen feet
from the surface of the water. What is the location of the diver in the water?
a.-48 feet
b.-31.5 feet
c. - 27.5 feet
X d. -28 feet
Answer:
b
Step-by-step explanation:
The scuba diver is 30 feet below, and ascend means up, so you subtract 13.5, and descend means down so you add 15. That’s how you get the answer.
So I'm just making sure...
Complementary angles add up to 90°
Supplementary angles add up to 180°
I've seen many different answers so I am just double checking. Thanks.
Answer:
This is correct.
Step-by-step explanation:
Answer:
Yes...You are right... hope it helps
The area of a rectangle is expressed as (15x + 20) square feet. If the width of the rectangle is 5 feet, what is an expression to represent the length of the rectangle.
(No picture)
Answer: Length = (15x + 20) / 5
Step-by-step explanation:
The area of a rectangle is calculated as length × width. Since the area of the rectangle is expressed as (15x + 20) square feet while the width of the rectangle is 5 feet, then the expression to represent the length of the rectangle will be:
Area = length × width
(15x + 20) = length × 5
Length = (15x + 20) / 5
Therefore, the expression is Length = (15x + 20) / 5.
Solving further, the length will be:
= (15x + 20) / 5
= 3x + 4
(6.6 × 10⁰) + (7.8 × 10²)
Answer:
786.6
Step-by-step explanation:
Anything to the ^0 is 1 so its 1 x 6.6 + 100 x 7.8
6.6 + 780
786.6
Answer:
786.6
Step-by-step explanation:
Problem:
(6.6 × 10⁰) + (7.8 × 10²)
Step 1 - Parenthesis:
(6.6 × 10⁰) + (7.8 × 10²)
Step 2 - Exponents(Left to Right):
(6.6 × 10^0) + (7.8 × 10^2) = (6.6 × 1) + (7.8 × 100)
Step 3 - Multiply(Left to Right):
(6.6 × 1) + (7.8 × 100) = 6.6 + 780
Step 4 - Add(Left to Right)
6.6 + 780 = 786.6
Step 5 - Answer:
786.6
Remember:Parenthesis
Exponents(Left to Right)
Multiplication(Left to Right)
Division(Left to Right)
Addition(Left to Right)
Subtraction(Left to Right)
You receive $1,000 to put in the bank. You place it in an account that pays 6% annual interest compounded continuously. How much will you have in 12 years? Round the answer to the nearest dollar. SHOW WORK PLZ
Answer:
2054.43$ = 2054$
Step-by-step explanation:
Here, by analyzing the question we get;
Principal= 1000$
Time (In years) = 12
Rate (Annual) = 6%
Now;
First convert R into decimal= 0.06 rate per year
Now solving the equation for A:
A=Pe^(rt)
=1000(2.71828)^(0.06*12)
=$2054.43
If you have any questions, just ask me in the comments
For #4 - 5, the two polygons are similar. Find the
values of x and y.
60°
18
12
22
x + 4
4.
Answer:
x = 10.7
y = 120°
Step-by-step explanation:
If two polygons are similar, their corresponding angles would be the same, while the ratio of their corresponding sides will be equal.
Therefore, the angles of the two polygons given are equal, while the ratio of their corresponding side length is equal.
Thus:
✔️Find x:
22/(x + 4) = 18/12
22/(x + 4) = 3/2
Cross multiply
(x + 4)3 = 2*22
3x + 12 = 44
Subtract 12 from each side
3x = 44 - 12
3x = 32
x = 32/3
x = 10.7
✔️Find y:
y + 60° = 180° (adjacent angles are supplementary)
y = 180 - 60
y = 120°
y = x2 + 5x - 14 in factored form need answe asap please
Answer:
y = ( x-2)(x+7)
Step-by-step explanation:
y = x^2 + 5x - 14
What 2 numbers multiply to -14 and add to 5
-2 * 7 = -14
-2+7 = 5
y = ( x-2)(x+7)
Y=x+5 y = x + 5 Find four points contained in the inverse. Express your values as an integer or simplified fraction.
Answer: (0,-5), (5, 0), (10, 5) and (15,10).
Step-by-step explanation:
Given equation: [tex]y = x + 5[/tex]
To find its inverse we will find the value of x .
Subtract 5 from both sides
[tex]x=y-5[/tex]
Switch y to x, we get
y= x-5, which is the inverse function.
At x=0,
y=-5
At x= 5,
y=0
At x= 10 ,
y=5
At x= 15,
y= 10
Hence, the four points contained in the inverse: (0,-5), (5, 0), (10, 5) and (15,10).
Plotting the graph after finding the inverse function the four points contained in the inverse fucntion are: (0, -5), (5, 0), (5.1, 0.1), and (5.2, 0.2).
The given equation is,
y = x+5
To find its inverse fucntion,
Replace x with y we get.
x = y + 5
Rearranging it,
y = x - 5
So this is the inverse fucntion.
Since this is of the form of line y = mx + c
Therefore,
To find the points containing contained by inverse fucntion,
Graphing: y = x - 5
After graphing we can see that,
The four points (0, -5), (5, 0), (5.1, 0.1), and (5.2, 0.2) are lies on the line.
Hence the required four points are:
(0, -5), (5, 0), (5.1, 0.1), and (5.2, 0.2)
#SPJ6
THE LENGTH OF THE CAR IS 435 CM. THE LENGTH F THE GARAGE IS 6 M. HOW MANY CENTIMETERS LONGER IS THE GARAGE THAN THE CAR?
Answer:
235cm longer
Step-by-step explanation:
convert 6m into centimeters which gets you 600cm so you do this:
600 - 435= 235cm
therefore the garage is 235cm longer than the car.
Answer:
600-435 = 165 cm the garage 165 cm is longer than the car
If θ is an angle in standard position and its terminal side passes through the point (-4,-9), find the exact value of \tan\thetatanθ in simplest radical form.
Given:
θ is an angle in standard position and its terminal side passes through the point (-4,-9).
To find:
The exact value of tanθ in simplest radical form.
Solution:
If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of tanθ is:
[tex]\tan \theta=\dfrac{y}{x}[/tex]
It is given that, θ is an angle in standard position and its terminal side passes through the point (-4,-9). So, t he exact value of tanθ is:
[tex]\tan \theta=\dfrac{-9}{-4}[/tex]
[tex]\tan \theta=\dfrac{9}{4}[/tex]
Therefore, the required value is [tex]\tan \theta=\dfrac{9}{4}[/tex].
if a×b=a^b what is the value of 2 ×3
Answer:
8
Hope this answer is right!!
Explanation:
Given, a×b=a^b=2 ×3
=2^3
=8
So, the value of 2 ×3 =8.
Find an equation for the perpendicular bisector of the line segment whose endpoints are (1,-3)(1,−3) and (7,-7)(7,−7).
Answer:
[tex]y=\frac{3}{2} x-11[[/tex]
Step-by-step explanation:
[tex]y-\frac{-7-3}{2} =\frac{-1}{\frac{-7-(-3)}{7-1} } (x-\frac{7+1}{2} )\\y+5=\frac{6}{4} (x-4)\\y=\frac{3}{2} x-11[[/tex]
Alex and Jill share £100 in the ratio of 1 : 7 work out how much money Alex gets?
Answer:
$87.50
Step-by-step explanation:
If they split the money 1:7 this means they divided it into 8 portions. (Because 7+1=8). So do $100/8=12.5.
(You never specified who got 1 portion and who got 7, so I will assume Alex got the 7)
Let's say Jill got the 1 portion, she gets $12.50.
Let's say Alex got the 7 portion, he got $12.50 x 7 = $87.50
The amount Alex got is £12.5.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Alex and Jill share £100 in a ratio of 1:7.
Total ratio = 8x
So,
Alex = 1x
Amount = 1x/8x x 100 = £12.5
Jill = 7x
Amount = 7x/8x x 100 = £87.5
Thus,
Alex got £12.5.
Learn more about ratios here:
https://brainly.com/question/2462048
#SPJ2
Which of the following is the solution to the equation 25^(z − 4) = 125? (6 points)
Answer:
Sent you this for a reference so please do the needful to me ASAP as I am now working on the same and I will be sending the same
Answer:
z = [tex]\frac{11}{2}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then
[tex]25^{z-4}[/tex] = 125 [ 25 = 5² and 125 = 5³ ]
[tex](5^2)^{z-4}[/tex] = 5³
[tex]5^{2z-8}[/tex] = 5³
Since the bases on both sides are equal, both 5, then equate the exponents
2z - 8 = 3 ( add 8 to both sides )
2z = 11 ( divide both sides by 2 )
z = [tex]\frac{11}{2}[/tex] ( = 5.5 )
I need help with 27 and 29 plz
Answer:
27.C
29.B
Step-by-step explanation:
(x – 3) (x + 6) cuanto es
Answer:
Step-by-step explanation:
(x - 3)(x + 6)
=x(x + 6) -3(x + 6)
=x*x + x*6 - 3*x - 3*6
=x^2 + 6x - 3x - 18
=x^2 + 3x - 18
[tex]\longrightarrow{\green{ \: {x}^{2} + 3x - 18 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](x - 3)(x + 6)[/tex]
➼ [tex] \: x(x + 6) - 3(x + 6)[/tex]
➼ [tex] \: {x}^{2} + 6x - 3x - 18[/tex]
➼ [tex] \: {x}^{2} +3x - 18[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Harriet and Maya share £300 in the ratio of 7:5. Wirk out how much money harriet gets
Answer:
$175
Step-by-step explanation:
you need to specify if harriet got the 7 portion or the 5 portion. I'll answer as if she got the 7 portion.
They split it into 12 portions because the ratio is 7:5 and 7+5=12. So do $300/12=25
Assuming Maya got the 5 portion, do $25 x 5 = $125, so Maya got $125.
Assuming Harriet got the 7 portion, do $25 x 7 = $175, so Harriet got $175.
In a box there are n red marbles and three times as many black marbles. There are 36
marbles in the box. How many red marbles are in the box?
Answer:
it is 12
Step-by-step explanation:
for n= 36 divided by 3.
The product of two integers is (-112).
If one of them is (-8), find the other.
Answer:
14
Step-by-step explanation:
To find the other number , divide -112 by -8 and you will get 14.
3x+2y=4
2x-3y=7
a) 2, - 1
b)2 , 1
c)1 , 2
d)- 2 , - 1
Answer:
a) 2, -1
Step-by-step explanation:
3x + 2y = 4
2y = 4 - 3x
y = 2 - 3x/2
2x - 3y = 7
2x - 3×(2 - 3x/2) = 7
2x - 6 + 9x/2 = 7
4x/2 + 9x/2 = 13
13x/2 = 13
13x = 26
x = 2
3×2 + 2y = 4
6 + 2y = 4
3 + y = 2
y = -1
1) En 5 horas 4 operarios fabrican 10 artículos, ¿Cuántos artículos fabricaran 3 operarios en 4 horas?
Answer:
So, in 4 hours , 3 operators makes 6 articles.
Step-by-step explanation:
In 5 hours 4 operators make 10 articles, how many articles will 3 operators make in 4 hours?
In 1 hour 4 operator makes 10/5 = 2 articles
In 1 hour , 1 operator makes = 2/4 = 0.5 article
So,
In 1 hour , 3 operators makes = 3 x 0.5 = 1.5 articles
In 4 hours, 3 operation makes = 1.5 x 4 = 6 articles
Will mark brainliest!!!
Answer:
option C , D , E
Step-by-step explanation:
[tex]\sqrt{\frac{1}{16}} = \frac{1}{4} => not \ irrational\\\\\sqrt{\frac{1}{4}} = \frac{1}{2} => not \ irrational\\\\\sqrt{\frac{1}{2}} = > \ irrational\\\\\sqrt{\frac{1}{10}} =>\ irrational\\\\\sqrt{\frac{1}{8}} =>\ irrational\\\\[/tex]
Answer:
1/2, 1/10, 1/8
Simplify 6(x + 3). i suck at math pls help
Answer:
6x +18
Step-by-step explanation:
6(x + 3)
Distribute
6*x + 6*3
6x +18
Answer:
6x + 18
Step-by-step explanation:
Given
6(x + 3) ← multiply each term in the parenthesis by 6
= 6x + 18
Need help!!! Please
Answer:
I think it is the first one
Step-by-step explanation:
What is the formula for solving this
Answer:
<ABC = 68degrees
Step-by-step explanation:
From the diagram, the measure of the given angles are supplementary;
9x+5 + 16x = 180
25x = 180 - 5
25x = 175
x = 175/25
x = 7
<ABC = 9x +5
<ABC = 9(7)+5
<ABC = 63 + 5
<ABC = 68degrees
Quadrilateral MNQP has vertices as shown. If the figure is translated 4 units left and 3 units down, what are the coordinates of N'? *
Explanation:
Point N is at (1,3)
We apply the rule [tex](x,y) \to (x-4,y-3)[/tex] which will translate the point 4 units to the left and 3 units down.
The old x coordinate x = 1 becomes x-4 = 1-4 = -3
The old y coordinate y = 3 becomes y-3 = 3-3 = 0
The point N(1,3) moves to N ' (-3, 0)
which information could he have used to determine this?
Answer:
c
Step-by-step explanation:
If it equals the double of one angle that means it is bisected in to 2 equal parts