Answer:
(a) check the first one, and the second one
(b) check the last one
Step-by-step explanation:
This is quite easy actually.
(A)3x+24 = 3 * x + 3 * 8
3(x+8) using distribute property.
3x + 24
You cannot simplify 3x+24 any further
And 3(8x+1) just doesn't work
since it's multiplying
The "*" is an X sign
(B)The first, second, and third are not correct
But the last one is.
ents
Suppose a furniture builder has two models of a bookcase: standard and artisan. The standard
model requires 4 hours to assemble and 2 hours for finishing touches. The artisan model requires 2
hours to assemble and 2 hours for finishing touches. Based on their current staffing, they can
manage a maximum number of assembly hours available is 48 per day, and the maximum number
of finishing hours available is 44 per day.
Let x = the number of standard model bookcases produced per day and y = the number of artisan
model bookcases produced per day.
Write the system of inequalities that represents the maximum number of bookcases that can be
produced in one day.
Answer:
48 ≥ 4x + 2y
44 ≥ 2x + 2y
First, we will look at assembling hours.
"The standard model requires 4 hours to assemble [and] the artisan model requires 2 hours to assemble"
We also know they have 48 hours per day for assembly, x is standard model and y is artisan model.
48 = 4x + 2y
Lastly, they do not need to make that many, but they can so we will use greater than or equal to.
48 ≥ 4x + 2y
Now let us look at finishing hours.
"The standard model requires ... 2 hours for finishing touches. The artisan model requires ... 2 hours for finishing touches."
We also know they have 44 hours per day for assembly, x is standard model and y is artisan model.
44 = 2x + 2y
Again, they do not need to make that many, but they can so we will use greater than or equal to.
44 ≥ 2x + 2y
HELP. WORTH 1 POINT
GIVING 10
Answer:
117
Step-by-step explanation:
well, if they are supplementary, and they are on the same line and a line is equal to 180 degrees, then its as easy as 180-63=117
PLEASE HELP PLEASE PLEASE HELP
Answer:
I believe it is Dissolve.
Solve the system of equations.
5x−4y=−10
y=2x−5
Answer:
x = 10
y = 15
Step-by-step explanation:
5x − 4y = −10 ⇒ ( 1 )
y = 2x − 5 ⇒ ( 2 )
Let us find the value of x.
For that, we can replace y with ( 2x - 5 ).
Let us take equation 1.
5x − 4y = −10
5x - 4 ( 2x − 5 ) = -10
5x - 8x + 20 = -10
-3x = -20 - 10
-3x = - 30
Divide both sides by ( -3 ).
x = 10
And now let us find the value of y.
Let us take equation 2.
y = 2x − 5
y = 2 × 10 - 5
y = 20 - 5
y = 15
Answer:
X=10
Step-by-step explanation:
5x-4y=-10.....1
y=2x-5......2
sub 2 into 1
5x-4(2x-5)=-10
5x-8x+20=-10
5x-8x=-10-20
-3x=-30
x=10
sub x=10 into 2
y=2(10)-5
y=20-5
y=15
the ratio of the number of boys and girls in a class is 10:7 if there are 35 girls find the number of boys
Answer:
The solution to the question is in the attached image
Convert the function from vertex form to standard form.
-1/2(x + 2)^2 - 3
Answer:
[tex] -\frac{1}{2}x^2-2x-5 [\tex]
Step-by-step explanation:
To convert it to standard form, all you need to do is expand the square and simplify. This would get us to: [tex]-\frac{1}{2}(x^2 + 4x + 4) - 3[/tex] which simplifies further to [tex]-\frac{1}{2}x^2-2x-2-3[/tex] and combine the -2 and -3 to get [tex] -\frac{1}{2}x^2-2x-5 [\tex]
Hope this helps :)
In a 3-digit number, the hundreds digit is four more than the units digit, and the tens digit is three more then the sum of the other digits. Find the three digits if the sum of all three digits is 15. Then find the number.
Answer:
591
Step-by-step explanation:
Let's use algebra to solve this question:
Units digit = x
Hundreds digit = x+4
Tens digit = 3 + (x+4) + x = 2x +7
All 3 digits = 15
so x + (x+4) + 2x + 7 = 15
4x +11 =15
4x = 4
x = 1
Then you substitute:
Units = 1
Hundreds = 1+4 = 5
Tens = 2(1) + 7 = 2 + 7 = 9
The number is therefore 591.
The following can be deposited in a savings account: (check all that apply)
1. Jewels
2. Cash
3. Paycheck
4. Coin
5. Checks
Answer: cash, paychecks, checks
Step-by-step explanation:
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A cube has total surface area 150 cm square, find the volume of cube. somebody help me to solve this.
We have been provided with the total surface area of cube that is 150cm².
So here we will first find out the value of a side of cube.
★ Total surface area of cube :-
T.S.A. = 6a²Here,
a is side of cubePutting the values,
6a² = 150cm²
a² = 150 / 6
a² = 50 / 2
a² = 25
a = √25
a = 5
Henceforth,
Side of a cube is of 5 cm.★ Finding out volume of cube :-
As we know that volume of cube is calculated by the formula :
V = a³Putting the values,
V = 5³
V = 5 × 5 × 5
V = 25 × 5
V = 125
Henceforth,
Volume of cube is of 125 cm³.A line passes through the point (-4,9) and has a slope of -3/2. Write an equation in slope intercept form for this line
Answer:
y = -3/2x + 3
Step-by-step explanation:
slope-intercept form: y - y₁ = m (x - x₁)
y - 9 = -3/2 ( x + 4)
y = -3/2 x - 6 + 9
y = -3/2x + 3
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Suppose GDP is $12 trillion, taxes are $3.6 trillion, private saving is $1.5 trillion, and public saving is $0.8 trillion. Assuming the economy is closed, complete the following table by calculating consumption, government purchases, national saving, and investment. Component Amount (Trillions of dollars) Consumption Government Purchases National Saving Investment
Assuming this economy is closed: Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.
Gross domestic producta. Consumption
Private S = ( Y – T – C )
C = Y - T - Private S
C = $12 - $3.6 - $1.5 =$6.9 trillion
b. Government purchases
Public S = ( T - G )
G = T - Public S
G = $12 - $0.8
G = $11.2 trillion
c and d. National saving and investment
National savings = Public S + Private S
National savings = $0.8 + $1.5
National savings =$2.3 trillion
Investment=Savings=$2.3 trillion
Therefore, Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.
Learn more about GDP here:https://brainly.com/question/1383956
f(X)= 4X+8 g(X)= X+3, find f(X) • g(X)
Answer:
[tex]4x + 20[/tex]
Step-by-step explanation:
[tex]4(x + 3) + 8 = 4x + 12 + 8 = 4x + 20[/tex]
Answer this and i mark u branliest
Step-by-step explanation:
5a.
10 white squares
15 shaded squares
5b.
a1 = 1 = 2×1 - 1
a2 = a1 + 2×2 - 1 = 2×1 - 1 + 2×2 - 1 = 2×(1+2) - 2
a3 = a2 + 2×3 - 1 = 2×(1+2+3) - 3
...
an = 2×(1+2+...+n) - n = 2×n×(n+1)/2 - n = n²
so,
a350 = 350² = 122,500
figure350 has 122,500 squares.
5c.
a1 = 1
a2 = a1 = 1
a3 = a2 + 5
a4 = a3 = 6
a5 = a4 + 9
a6 = a5 = 15
a7 = a6 + 13
a8 = a7 = 28
...
a(2n) = a(2n - 1)
a(2n - 1) = a(2(n-1) - 1) + 1 + 4(n - 1) = n×1 + 4(0+1+2+...+n-1) =
= n + 4×(n-1)×n/2 = n + 2×(n² - n) = 2n² - n
therefore,
a350 = a349
a349 = a(2×175 - 1) = 2×175² - 175 = 61,075
figure350 has 61,075 shaded squares.
please help with this problem!!
Answer:
12 cups
Step-by-step explanation:
The ratio he uses is
2 parts strong coffee
3 parts milk
Let's say he makes a recipe exactly like the amounts of the ratio.
2 cups strong coffee
3 cups milk
Total: 2 cups + 3 cups = 5 cups
He wants to make 30 cups, so 5 cups is not enough.
Let's double the amounts of the recipe keeping the same ratio of 2 to 3.
2 × 2 = 4 cups strong coffee
3 × 2 = 6 cups milk
Total: 4 cups + 6 cups = 10 cups
He wants to make 30 cups, so 10 cups is not enough.
We can keep on going up by multiplying the numbers in the ratio by larger numbers, but there is a quicker way.
We need to multiply both numbers in the ratio by a number, let's call it x, so that when both numbers in the ratio are multiplled by x, and the ingredients are added, we end up with 30 cups.
Multiply both numbers in the ratio by x.
2x cups of strong coffee
3x cups of milk
Now add: the total amount will be 5x cups
We want 30 cups, so
5x = 30
Solve for x.
x = 30/5 = 6
x, the multiplier we need is 6.
2x cups strong coffee = 2(6) cups = 12 cups
3x cups milk = 3(6) cups = 18 cups
Answer: 12 cups
Consider the sum 7+(-11)+4
Answer:
0
Step-by-step explanation:
7-11=-4
-4+4=0
HELPP ASAPP
FIRST PERSON GET BRAINIEST
Answer:
2,6 / Number 3
Step-by-step explanation:
Thats the right answer
Answer:
(2,6)
Step-by-step explanation:
moving 3units to the left gives (2,4) and 2units above gives (2,6) finally
The sum of the three interior angles of a triangle is 180. Suppose one angle is 74 and the remaining two angles are the same measure. Reason numerically to find the measures of the remaining angles.
Answer:
53
Step-by-step explanation:
[tex]sum \: of \: angles = 180 \\ 180 = 74 + 2x \: where \: x \: is \: the \: measure \: of \: the \: other \: angles \\ 180 - 74 = 2x \\ 106 = 2x \\ x = \frac{106}{2} \\ x = 53[/tex]
Always welcome
Find the value of y.
AABC = ADEF
A
17y - 8
B
(11x - 4)
D
23
117
12 + 13y
'C
E
Answer: 5
Step-by-step explanation:
Represent the sum of the complex numbers 2−3i and −1−i on the complex plane.
Use the Point and Segment tools to plot all required points and segments.
Answer: I took the test and this is the answer.
For which values of x is the expression undefined x-8/x-5
Answer:
x = 5
Step-by-step explanation:
Any number over 0 is undefined. Given that, the values of x that make this expression undefined make the denominator equal to 0
x - 5 = 0
x = 5
I hope this helps!
Find a bank account balance if the account starts with $100, has an annual rate of 4%, and the money is left in the account for 12 years.
The possible outcomes for rolling a pair of fair dice are shown below.
What is the probability of rolling a sum that is a prime number?
Answer:
5/12
Step-by-step explanation:
"When two dice are thrown, the total number of sample spaces is 36.
Favourable outcomes = {(1,1),(1,2),(1,4),(1,6),(2,3),(2,3),(2,5),(3,2),(3,4),(4,1),(4,3),(5,2),(5,6),(6,1),(6,5)}
Total number of favourable outcomes = 15
Hence, the probability of getting a sum of prime numbers = 15/36 = 5/12."
This was taken from a Byjus post.
Hope this helps.
A bag contains seven red balls, five green balls, four yellow balls, and two black balls. A ball is picked at random
from the bag. What is the probability that the ball will NOT be black?
Answer:
50/50 chance a black ball will be picked
The total mass of 8 cereal boxes is 4 kilograms. What is the mass of each box of cereal in grams?
Answer:
500 grams
Step-by-step explanation:
we can conclude that the mass of each box is 0.5 kg by dividing 4 by 8
0.5 kg is 500 grams
compute the probability of tossing a six-sided die and getting a number less than 3
Answer:
We can think of our denominator as 6 in our probability, because there are 6 total sides to this die.
Out of those 6 sides, they want to find out if we can roll a number less than 3.
First, let's find how many numbers there are on this die that are less than 3.
1 and 2, so there are 2 sides that contain numbers less than 3 on this die.
So there is a 2 out of 6 chance(2/6) which can be simplified to 1/3, of selecting a number less than 3 when rolling a die.
1/3 probability.
Convert this into a percent if you'd want:-
1/3 · 100
= 33.333... which can be rounded to a 33% probability.
Find the surface area of the Cylinder, will mark BRAINLIEST if correct
Answer:
About 1885 sq. ft
Step-by-step explanation:
[tex]v = \pi \: (10)^{2} (6) [/tex]
Since the radius is 10ft and the height of the cylinder is 6 ft you substitute that into the formula and you receive 1884.96.
find sine or cosine using identity
Answer:
sin(theta) = [tex]\frac{\sqrt{7}}{4}[/tex]
Step-by-step explanation:
cos(theta) = [tex]\frac{x}{r}[/tex]
cos(theta) = [tex]\frac{3}{4}[/tex]
so x = 3 , r = 4 , and y =?
Pythagorean Theorem: x^2 +y^2 = r^2 or a^2 +b^2 = c^2
x^2 +y^2 = r^2
(3)^2 +y^2 = (4)^2
9 + y^2 = 16
y^2 = 7
[tex]y=\sqrt{7},-\sqrt{7}[/tex]
In Quadrant 1, so its only [tex]y=\sqrt{7}[/tex].
sin(theta) = [tex]\frac{y}{r}[/tex]
sin(theta) = [tex]\frac{\sqrt{7}}{4}[/tex]
Pat can drive 36 kilometers for every 3 liters of gas they put in their car.
Complete the table using equivalent ratios.
Kilometers
Liters
36
3
48
132
Answer:
Step-by-step explanation:
This is a proportion question which is 2 ratios which are equal to one another. If 3 of the 4 parts are known, the 4th part can be calculated.
36 liters.
36 km/3 Liters = x / 36 multiply both sides by 36
36*36 / 3 = x
1296/3 = x
x = 432 km
So on 36 L he can go 432 km
3 liters
Given as 36 km
48 liters
36km/3 liters = x / 48 liters Multiply both sides by 48
48*36/3 = x
576 km = x
So on 48 liters, he can go 576 km
132 liters
36 km/ 3 liters = x/132
x = 1564 km
On 132 liters Pat can go 1564 km
I don’t understand this question. Someone help pls
Answer:
49.67ft
Step-by-step explanation:
i used the internet, use it too
What is the next term of the geometric sequence
Answer:
64/7
Step-by-step explanation:
Pattern = Multiplying by -4
-16/7 x -4/1
64/7