Answer:
G
Step-by-step explanation:
a + b + c = 80
Express a and c in terms of b using the ratios in fractional form, that is
[tex]\frac{a}{b}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3a = 2b ( divide both sides by 3 )
a = [tex]\frac{2}{3}[/tex] b
[tex]\frac{b}{c}[/tex] = [tex]\frac{3}{11}[/tex] ( cross- multiply )
3c = 11b ( divide both sides by 3 )
c = [tex]\frac{11}{3}[/tex] b
Substitute the values for a and c into the original equation
[tex]\frac{2}{3}[/tex] b + b + [tex]\frac{11}{3}[/tex] b = 80 ( multiply through by 3 to clear the fractions )
2b + 3b + 11b = 240 , that is
16b = 240 ( divide both sides by 16 )
b = 15 → G
3(18-7)+2 using the order of operations
Answer:
35
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
Order of Operations = PEMDAS
IN ORDER:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Problem: 3(18-7)+2
Step 1: 3X18=54 3X-7= -21
Step 2: 54-21+2
compare -3 and 9. Which of the following is true
A. -3 < 9 and -3 < 9
B. -3 = 9 and -3 < 9
C. -3 > 9 and -3 < 9
D. -3 > 9 and -3 > 9
Answer:
The answer is A: -3<9 and -3<9
Step-by-step explanation:
because -3 is less than 9
Danielle bought a silver coat rack online it cost $653.76 +7% shipping and handling what was the total cost
round your answer to the nearest cent
Answer:
$699.52
Step-by-step explanation:
Theres two ways to solve this.
(1) You can either find 7 percent of 653.76 and then add it on
or
(2) You can just multiply the tax with the 653.76
Option (1)
You find 7 percent of 653.76. Now percent means out of a hundred so 7 percent is really 7/100 or 0.07
Now you multiply 653.76 by 0.07 which is 45.76 (rounded to nearest cent)
Now add it up to the total.
653.76+45.76= $699.52
Option (2)
This is the easier method in my opinion. SInce you want to find the total of the product including tax. The tax is technically multiplying the total. The total of course is 653.76 and total means everything. Everything means 100%. So you can add 100% to the tax cause technically thats what your doing becuase you grinding 7percent of the total which is 100 percent. So in this case your price is increasing by 107 percent.
(Example)
So If you want to find 100 percent of a product it would be the same exact result. Like 100 percent of 653.76 is 654.76… So using that we can just add the amount of tax to the 100%. 100+7=107%
Proof that this works is this
usually when you want to find a percentage of something, you turn the percentage into a decimal then multiply. So 100 percent of 653.76 is 653.76*1.00 which is 653.76. So the 100 percent is a place holder to prevent you from doing more steps. Now just add 7 percent since your increasing the total by 7 percent (tax). Now its 653.76*1.07 which when solved you would get $699.52. The same exact result. Less steps same result.
Final answer: $699.52
The perimeter of a rectangular window is 264 cm. If the width of the window is 56 cm what is its length. *
Answer:
76 cm.
Step-by-step explanation:
56 times 2 is 112
264-112=152, divide by 2
152/2=76
Answer:
76 cm
Step-by-step explanation:
Perimeter is the sum of all sides of a rectangle. It can also be thought of as 2 times the width plus 2 times the width.
[tex]P=2L+2w[/tex]
Rearranging to solve for length:
[tex]2L=P-2w[/tex]
[tex]L=\frac{P-2w}{2}=\frac{264-2(56)}{2}=\frac{152}{2}=76[/tex]
The length is 76 cm.
PLEASE HELP
The owner of a lemonade stand mixes juice that costs 2 dollars per gallon with juice
that costs 7 dollars per gallon. She gets 20 gallons of punch that costs 4 dollars per
gallon. How much of each juice does she use?
;#+#+£-;#;#;_£ajqjjqw
Step-by-step explanation:
2
The win to loss ratio for baseball is 5:6. For numbers 2a-2d, circle YES or NO to indicate whether each total number of wins, losses, or games is possible for the baseball team
simplify ; 4m + 2m - m +2m - 2m
Hello there! :)
4m+2m-m+2m-2m
We can see that 2m-2m cancel out:
4m+2m-m
Now just add all the m's:
6m-m
5m
Hope this helps! :)
[tex]GraceRosalia[/tex]
Step-by-step explanation:
[tex]\mapsto 4m+2m-m+2m-2m\\\\\mapsto 4m+2m+2m-m-2m\\\\\mapsto 8m-3m\\\\\dashrightarrow 5m[/tex]
Which equation represents the following graph?
it a or d make your decision
guys pls help me!!!!!!
Answer:
128 degrees
Step-by-step explanation:
Angles on a straight line equals 180⁰
180⁰-52⁰=128⁰
WILL GIVE BRAINLIEST
Find the measure of Z4 given angle 2 is 70 degrees.
Answer:
110
Step-by-step explanation:
Z4=180-70:110
How do you do Geometry the right way and what is the best way to remember how to do it?
Step-by-step explanation:
To understand geometry, it is easier to visualize the problem and then draw a diagram. If you're asked about some angles, draw them. Relationships like vertical angles are much easier to see in a diagram; if one isn't provided, draw it yourself.
Nine less than four times a number is the same as nineteen
Answer:
x= 7, the number is 7
Step-by-step explanation:
4x-9= 19
Add 9 to both sides4x=28
Divide each side by 4x=7
Answer:
4x - 9 = 19
Step-by-step explanation:
We can represent 4 times any numbers as 4x.
Then they want 9 less than 4x. This means that they want 4x but 9 units shorter. So to make 4x 9 units shorter, you would take away 9 from 4x which is represented as 4x - 9. A common mistake is writing this as 9 - 4x.
They also want 4x - 9 to be the same, or equal to, 19. So to equate both expression, you would add the equals sign between both expressions.
The sum of a number and twice its reciprocal is 3. What are the numbers?
Let no be x
Acc to ques
X + 2(1/x) = 3
X + 2/x = 3
X^2 + 2 = 3x
X^2 - 3x + 2 = 0
X^2 - x - 2x + 2 = 0
X (x-1) - 2 (x-1) = 0
(x-2) (x-1) = 0
X= 2 or x =1
If this answer was helpful then please mark it as the brianliest
You have 2/3 of a blueberry pie left over from dinner. If you sent 1/2
of the leftover blueberry pie home with your guests, how much of the blueberry pie do you have left in the dish?
Answer:
1/3
Step-by-step explanation:
mark me as brainlestAnswer: 1/6 of the pie is left
Step-by-step explanation: 2/3 x 2 = 4/6
1/2 x 3 = 3/6
4/6 - 3/6 = 1/6
8 minus the product 5 and a number
Answer:
8 - 5x
Step-by-step explanation:
Let the number be 'x'
Product of 5 and 'x' = 5*x = 5x
8 - 5x
In a laboratory experiment, the population of bacteria in a petri dish started off at
2600 and is growing exponentially at 13% per day. Write a function to represent the
population of bacteria after t days, where the hourly rate of change can be found
from a constant in the function. Round all coefficients in the function to four decimal
places. Also, determine the percentage rate of change per hour, to the nearest
hundredth of a percent.
Answer:
See belowStep-by-step explanation:
Daily growth rate is 13% with initial values of 2600 bacteria.
The equation is:
[tex]f(t) = 2600*( 1 + 0.13)^t=2600*1.13^t[/tex]Find the hourly rate x considering 1 day = 24 hours:
[tex]2600*1.13^{t/24}=2600*x^t[/tex][tex]ln 1.13^{t/24}=ln x^t[/tex][tex]ln1.13^{1/24}=lnx[/tex][tex]x=1.13^{1/24} =1.0051[/tex]Percentage rate of change per hour is:
0.51%T/7=3 what’s the answer?
Answer:
t=7x3
t=21
Step-by-step explanation:
hope this helps you!!!
Answer:
21
Step-by-step explanation: T/7= 3 so t= 7×3= 21
21÷7=3
4. Elias was asked to solve a quadratic equation by factoring and his work is shown below. Circle the letter of the step where he has made an error. Then redo the work correctly from that point, using the shaded space. 4 points possible Given x2 – 12x = -20
Аx2 - 12x + 20 = 0
B(x - 4)(x – 5) = 0
С x-4 = 0 OR x-4 = 0
D x = 4 or x = 5
Answer:
(B) (x - 4)(x – 5) = 0Step-by-step explanation:
He made a mistake at step 2.
(x - 4)(x - 5) = 0 is incorrect asit is same as x² - 9x + 20 = 0
It should be:
(x - 10)(x - 2) = 0 with the end result x = 10 or x = 2Let's solve
[tex]\\ \sf\longmapsto x^2-12x=-20[/tex]
[tex]\\ \sf\longmapsto x^2-12x+20=0[/tex]
[tex]\\ \sf\longmapsto x^2-10x-2x+20=0[/tex]
[tex]\\ \sf\longmapsto x(x-10)-2(x-20)=0[/tex]
[tex]\\ \sf\longmapsto (x-10)(x-2)=0[/tex]
[tex]\\ \sf\longmapsto x=10\:or x=2[/tex]
Option B
what is the sum of -10 and 6?
Answer:
16
Step-by-step explanation:
10+6=16 sheeesh
Answer: -4
Step-by-step explanation:
Count back 6 times from -10 towards 0.
A beverage company advertises that they have increased their bottle size to 14.4 ounces, which is 20% more than the original size. What is the original size of the bottle
Answer: Original size= 14.4 ounce x 100/120
=12 ounce
Answer:
the answer is 12
Step-by-step explanation:
please see solution picture
whats 1+1 please explain.
Answer:
1+1=2
Step-by-step explanation:
quick maff
Answer:
It's easy 1+1=2
Step-by-step explanation:
1 +1 =2
let me expalin.
you have an apple then I gave you I more apple then how much apple do you have ?
it's easy 1+1=2
Solve correctly for brainliest
Answer:
hope you like my answer is 75a²xy⁴
Answer:
See below.
Step-by-step explanation:
5x^2 y a y
3a y x^2
Can be written as:
5x^2 y^2 a + 3a y x^2
Add like terms:
5ax^2y^2 + 3ax^2y
The sum is 5ax^2y^2 + 3ax^2y
The sum has more than one term, so the sum is not a monomial.
For detailed, step-by-step explanations you can visit my fiverr account: kesja_
I provide detailed explanations for math questions for as little as $1!
8.5x-2(2x+8) Pls give steps and I need it in expanded from
Answer:
[tex]\frac{9x}{2}[/tex] - 16
Step-by-step explanation:
8.5x - 2(2x + 8)
Use the distributive property to multiply −2 by 2x+8.
8.5x - 4x - 16
Combine 8.5x and −4x to get 4.5x.
4.5x - 16
= [tex]\frac{9x}{2}[/tex] - 16
If the angles forming a linear pair are 4:5, then values of these angles are :
Answer:
the total angle in linear pear is 180°
let the angles be 4x and 5x
4x+5x=180°
9x=180°
X =20°
again
4x=4×20°=80°
5x=5×20°=100°
Word search
Pls help me out
OD 3
Use the distributive property to simplify the following expression 2(x - 4)
OA 2 - 8x
OB 2x + 8
OC 2x - 8x
D 2x - 8
6z ^2 (7z^2 + 3z- 2)
Question: 6z ^2 (7z^2 + 3z- 2)
Answer: 42z^4 + 18z^3-12z^2
(hope this helps) :)
Please help with this math problem ASAP! Will give brainliest :)
Answer:
24
your welcome
Step-by-step explanation:
Answer:
7.5
Step-by-step explanation:
To find the area of a trapezoid it is:
[tex]A= \frac{a+b}{2}h[/tex]
Where h is the height, b is the base, and a is the "top base," so our values are:
h = 5
b = 9
a = 6
Plug them in and solve:
[tex]A= \frac{a+b}{2}h[/tex]
[tex]A= \frac{6+9}{2}5[/tex]
[tex]A= \frac{15}{2}5[/tex]
[tex]A = (7.5)(5)[/tex]
[tex]A = 37.5[/tex]
The area of the rectangle is found by using:
[tex]A=bh[/tex] where b is the base and h is the height. So our values are:
b = 6
h = 5
Plug in and solve:
[tex]A=bh[/tex]
[tex]A=(6)(5)[/tex]
[tex]A = 30[/tex]
Subtract the rectangle from the trapezoid:
37.5 - 30 = 7.5
Answer: 7.5
Hope this heps, have a nice day :D
Name two pairs of congruent angles
Answer:
∠JKL and ∠GKH
Step-by-step explanation:
1. Because these intersecting lines are forming opposite pairs of angles, there are some vertical angles. Vertical angles are congruent.
2. As you can see, ∠JKL is 55°. The angle that forms the pair of opposite angles with ∠JKL is ∠GKH.
3. As aforementioned, because these two angles are vertical angles, they're congruent.
Therefore, two pairs of congruent angles are ∠JKL and ∠GKH.
There are 4 times as many dogs as cats. If the total number of dogs and cats is 20, how many dogs are there?
Answer:
5
Step-by-step explanation:
4x = 20
4/4= 20/4
x = 5