Answer:
y = 9
Step-by-step explanation:
Given
6.4x + 2.8y = 44.4 ← substitute x = 3 into the expression
6.4(3) + 2.8y = 44.4
19.2 + 2.8y = 44.4 ( subtract 19.2 from both sides )
2.8y = 25.2 ( divide both sides by 2.8 )
y = 9
How does the area of the scale drawing where 1 centimeter represesnts 10 miles compare to the area of a the drawing where 1 centimeter represents 30 miles?
Answer:
This means that 1cm on the map means 10miles on actual land so is it the same for 30miles
That is 1cm on map 30 cm on land
According to exponent rules, when we divide the same base we _______ the exponents.
A. Multiply B. Add
C. Divide D. Subtract
Answer:
D
Step-by-step explanation:
Subtract the exponents
13 - (-6) subtracting integers
Answer:
19
Step-by-step explanation:
what is equivalent to 5 meters
Answer:
500 centimeters
Step-by-step explanation:
cause it is
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $82,910, and the variable costs will be $10.75 per book. With the other method, the one-time fixed costs will total $22,110 , and the variable costs will be $23.25 per book. For how many books produced will the costs from the two methods be the same?
Answer:
When 4864 books are sold
Step-by-step explanation:
Create an equation where x is the number of books produced:
The first method will be represented by 10.75x + 82,910
The second method will be represented by 23.25x + 22,110
Set these equal to each other and solve for x:
10.75x + 82,910 = 23.25x + 22,110
82,910 = 12.5x + 22,110
60,800 = 12.5x
4864 = x
So, the costs will be the same for both methods when 4864 books are sold
Mrs. Atkins pays $ 1,800 for a new
refrigerator washer, and dryer.
The refregerator cost $ 250 more
than the washer. The dryer costs
half as much as the washer.
How much does the washer cost?
The was her cost:_____
Write 7*10*10*10*10 with an exponent
7*10*10*10*10=
We have two varieties of concrete that we can mix together. One is 5% water and 95% concrete mix, and the other is 20% water and 80% concrete mix. We want to end up with 30 pounds of a result that is 10% water and 90% concrete mix. Determine how many pounds of each variety we need.
Answers:
20 pounds of the 95% concrete mix10 pounds of the 80% concrete mix=================================================
Explanation:
x = amount of the 95% concrete mix
y = amount of the 80% concrete mix
Type A mix has 95% concrete. If we have x pounds of this, then 0.95x pounds is pure concrete. Type B mix has 80% concrete. If there are y pounds of this, then 0.80y pounds is pure concrete.
So far we have 0.95x+0.80y pounds of pure concrete from the two mixes
Divide this over 30 to get (0.95x+0.80y)/30
Setting this equal to 0.90 means we want the final mix to be 90% concrete.
Since we want 30 pounds total, we can say x+y = 30 which solves to y = 30-x. We'll use this later
-------------------------------
(0.95x+0.80y)/30 = 0.90
0.95x+0.80y = 30*0.90 .... multiply both sides by 30
0.95x+0.80y = 27
0.95x+0.80(30-x) = 27 ..... plug in y = 30-x
0.95x+0.80*30-0.80*x = 27
0.95x+24-0.80x = 27
0.15x+24 = 27
0.15x = 27-24 ..... subtracting 24 from both sides
0.15x = 3
x = 3/0.15 ........... dividing both sides by 0.15
x = 20
y = 30-x
y = 30-20
y = 10
given the piece wise function show below, select all that are true
Answer:
Option (C) and (D)
Step-by-step explanation:
Given piecewise function is,
f(x) = 2x, x < 1
5, x = 1
[tex]x^{2}[/tex], x > 1
Option (A),
x = 5 means x > 1
So the function will be,
f(x) = [tex]x^{2}[/tex]
f(5) = (5)²
= 25
Therefore, f(5) = 1 is not correct.
Option (B),
x = -2 means x < 1
f(x) = 2x will be applicable.
f(-2) = 2(-2) = -4
Therefore, f(-2) = 4 is not correct.
Option (C)
For x = 1,
f(1) = 5
Therefore, f(1) = 5 is the correct option.
Option (D)
x = 2 means x > 1 and the function defined will be,
f(x) = x²
f(2) = 2²
= 4
Therefore, f(2) = 4 will be the correct option.
Options (C) and (D) will be the answer.
Rewrite the following expressions using the Additive Inverse Property -21-62, -78-(-8), 100-500
Answer:
62/78*( 1 6/8)
= 31/39*( 1 6/8)
= 31/29*( 1 3/4 )
= 31/39* 7/4
Multiply the numerator together and the denominator together
= 217/156
Step-by-step explanation:
LIKE IT PLS AND 5 STARS
(6 + h 2− j) ÷ 2; use h = 6, and j = 4
Answer:
19
Step-by-step explanation:
Given
(6 + h² - j) ÷ 2 , substitute h = 6 and j = 4 into the parenthesis
= (6 + 6² - 4) ÷ 2
= (6 + 36 - 4) ÷ 2
= 38 ÷ 2
= 19
Domain and range function graph plz help asap
Answer:
Domain and range: All possible real numbers.
Step-by-step explanation:
Since both end contains arrows, that means that it keeps going on and on.
Really need help on this!!
Answer:
Hey there!
There are 3+4+6+3, or 16 females.
3 of the females are seniors.
Thus, the percent is 3/16, or 19%
Let me know if this helps :)
what is [12÷(3-1)+4]×6
Answer:
60
Step-by-step explanation:
12 ÷ (3 - 1) = 6
6 + 4 = 10
10 × 6 = 60
-3, -2,-1, 0, 1, 2, 3, are called_______
Answer: Integers
Step-by-step explanation: To help introduce the set
of integers, let's use the number line shown below.
Notice that on a number line, 0 is in the middle, all numbers to the
left of 0 are negative, and all numbers to the right of 0 are positive.
The set of integers includes the set of whole numbers, {0, 1, 2, 3, ...},
which appear at 0 and to the right of 0 on the number line.
The set of integers also includes {-1, -2, -3, ...} which
appear to the left of 0 on the number line.
So the ste of integers can be written as {...-3, -2, -1, 0, 1, 2, 3...}.
Answer:
Integers
Step-by-step explanation:
a positive (+) or negative (-) number with no fractional parts. zero (0) Is also an integer
Examples: -3, 3
Which polynomial is in standard form?
1 + 2x - 8x + OX
O 2x2 +6x3-9x+ 12
6x3 + 5x-3x2 + 2
2x3+4x2 - 7x+5
Answer:
last option is correct because the standard form of polynomial means the arrangement of power in descending order
An online music club sells compact discs for $13.95 each plus $1.95 shipping and handling per order. If Maria’s total bill was $85.65, how many compact discs did Maria purchase?
Answer:
she purchased 6 compact discs
Step-by-step explanation:
13.95 × 6 + 1.95= 85.65
Answer:
6
Step-by-step explanation:
A jar contains 2 caramels, 7 mints, and 16 dark chocolates. What is the probability of choosing a dark chocolate, eating it and then choosing a caramel?
Answer: dark chocolate 16/25 carmel 1/12
Step-by-step explanation:
there are 16 dark chocolates
to find the probability you have to add up all of your numbers
2+7+16= 25
so the probablity of drawing a dark chocolate is 16/25
repeat the steps but subtract 1 from the total since you ate one you didn't put it back.
so the probability of drawing a carmel is 2/24 or simplified 1/12
don't mind the writings in pen, i didn't know what i was doing... PLS HELP ASAP
Answer:
(a) <AED=50°
(b) <DAB=65°
(c) <BCD=45°
(d) Reflex <ABC=225°
Step-by-step explanation:
(a) 180-65-65=50
(b) 180-115=65 (ADC is 115)
(c) 180-135-45
(d) Reflex <ABC 360-135=225
kelly bought some stuffed animals for 6.49 each she also got a box fo chocolate for 8.32 she paid a total of 27.79 to write an equation to find how many stuffed animals kelly purchased
Answer:
3
Step-by-step explanation:
She only bought one chocolate so you will subtract 8.32 from her total, 27.79, when you do that you will get 19.47. You do that so you can know the total of the stuffed animals by them self. Then all you have left in the total is her stuffed animals so you divide 19.47 by 6.49, when you do that you get three, so that means that she got three stuffed animals.
Step-by-step explanation:
thats the answer right there
Is the expression 2 • 4' equal to the expression 8x?Explain your answer
Answer:
Yes
Step-by-step explanation:
If your expression is 2*4 it will equal 8 and if your still not sure divide 8 by 4 and your answer is 2 or 8 by 2 and you'll get 4.
Triangle MNO is a right triangle with one leg = 15ft and the other leg = 18ft. Calculate the
length of the hypotenuse to the nearest hundredth of a foot (2 decimal places)
Answer:
Length of the hypotenuse = 23.43ft
Step-by-step explanation:
First leg = 15ft
Second leg = 18ft
Length of the hypotenuse = ?
In a right angle triangle,
Hypotenuse^2 = opposite^2 + Adjacent^2
Let first leg and second leg of the triangle be opposite and adjacent respectively
Hypotenuse^2 = opposite^2 + Adjacent^2
= 15^2 + 18^2
= 225 + 324
= 549
Hypotenuse^2 = 549
Find the square root of both sides
√Hypotenuse^2 = 549
Hypotenuse = 23.43ft to the nearest of a hundredth
Length of the hypotenuse = 23.43ft
Ito washes 7 cars in 3 hours. Joan
washes 9 cars in 4 hours. Who
washes cars at a faster rate?
Answer:
Ito
Step-by-step explanation:
Make them to their closest common multiple which is twelve.
Next times 7 by 4 as 3*(4) is 12
Then time 9 by 3 as 3*(4) is 12
7*4=28
9*3=27
Therefore ito washes at a faster rate
Answer:
ITO
Step-by-step explanation:
ITO
He can wash 7 cars in 3 hours.
a) 3 x 60 min = 180 minutes
b) 180\7 = 25.71 minutes per car
JOAN
She can wash 9 cars in 4 hours
a) 4 x 60 = 240 minutes
b) 240\9 = 26.66 minutes per car
Help me make sure this is right please??!!
Answer:
[tex]2\sqrt{3} -3\sqrt{3}[/tex]
Step-by-step explanation:
We need a number that is able to be square rooted, and then we square root it and take it out so it is simplified
[tex]\sqrt{4*3} -\sqrt{9*3}[/tex]
The square root of 4 is 2, and the square root of 9 is 3.
[tex]2\sqrt{3} -3\sqrt{3}[/tex]
What is the range of these wages £140 £525
(2ײy²)⁰ I need help with exponents
Answer:
1.
Step-by-step explanation:
Any real value to the power of 0 is 1.
y^2+3y-10=0 please solve
The Answer is: y=2,5
Answer:
y = -5
y = 2
Step-by-step explanation:
Find 2 factors of -10 that add up to 3
This will be 5 and -2
So, we can factor this:
y² + 3y -10 = 0
(y + 5)(y - 2) = 0
Set each factor equal to 0 and solve:
y + 5 = 0
y = -5
y - 2 = 0
y = 2
So, the solutions are y = -5 and y = 2
What is the 10% of 20% of 30%?
Ans 1= 0.006%
2=0.06%
3=0.6%
4=6%
Answer:
3=0.6%
Step-by-step explanation:
(10% of 20%) of %30
30% of 0.02
0.006=0.6%
-| -8 | |-(-8) are they equal ? Or which one is more ?
Answer:
-| -8 | is less than |-(-8)|
Step-by-step explanation:
-| -8 | =-8
|-(-8)| =8
they are not equal
-| -8 | is less than |-(-8)|
Help please also give an explanation
Answer:
The answer is option AStep-by-step explanation:
[tex] \frac{a + bc}{wd + f} = g[/tex]First of all cross multiply
That's
g( wd + f ) = a + bc
Multiply the terms at the left side of the equation
We have
gwd + fg = a + bc
Send fg to the right side of the equation
That's
gwd = a + bc - fg
Divide both sides by dg to make W stand alone
[tex] \frac{gwd}{dg} = \frac{a + bc - fg}{dg} [/tex]We have the final answer as
[tex]w = \frac{a + bc - fg}{dg} [/tex]Hope this helps you