Answer:
9 tables
12 stools
Step-by-step explanation:
x= number of tables
x+3= number of stools
4x+3(x+3)=72
4x+3x+9=72
4x+3x=72-9
7x=63
x=9
So he built 9 tables and 12 stools
(9x4=36, 3X12=36, 36+36=72) CHECK
SP=2x+3, and LN=5x−14. Find SP.
Answer:
43
Step-by-step explanation:
Using Thales theorem:
● SP/LN = RP /RN
Notice that RN = 2×RP
● SP/LN = RP/2RP
● SP /LN = 1/2
● SP / (5x-14) = 0.5
● (2x+3)/(5x-14) = 0.5
● 2x+3 = 0.5(5x-14)
● 2x+3 = 2.5x -7
Add 7 to both sides
● 2x+3+7 = 2.5x-7+7
● 2x+10 = 2.5x
Sustract 2x brom both sides
● 2x+10-2x = 2.5x-2x
● 10 = 0.5x
Multiply both sides by 2
● 10×2 = 0.5x×2
● 20 = x
Replace x with 20 in Sp expression:
● SP = 2x+3
● SP = 2×20+3
● SP = 43
1 liter of ink can print 5000 pages of text. If you had 100 gallons of ink then how many pages could you print?
Answer:
500,000 pages
Step-by-step explanation:
1 / 5000 = 100 / x
x = 5000(100)
x = 500,000
Answer:
1892705 pages of text.
Step-by-step explanation:
g=Gallon
L=Liters
P=Pages
1L=5000p
1g=3.78541L
100g·3.78541L=378.541L
378.541L·5000=1892705
PLEASE HELP f(x)=x^2 and g(x)=(x-3)^2+2 Describe how the graph of g(x) relates to the graph of its parent function, f(x). (HINT: Think about how f(x) was shifted to get g(x))
Answer:
The graph f(x) was shifted 3 units to the right and shifted 2 units up to get the graph of g(x).
Step-by-step explanation:
From the original graph to the transformed one, we can see that the transformations (x - 3) and + 2 were added to the equation.
The (x - 3) means that the x-value of the vertex will increase by 3, meaning that the graph will shift 3 units to the right.
The +2 will increase the y-value of the vertex by 2, meaning that the graph will move up 2 units.
So, the graph of g(x) relates to f(x) as it is a transformation 3 units to the right and 2 units upwards.
a broker gets rs 20000 as commission from sale of a piece of land which costs rs 8000000. Find the rate of commission.
Answer:
0.25%
Step-by-step explanation:
Rate of commission
= (commission*100)/cost of land
=( 20000*100)/8000000
= 2000000/8000000
=2/8
= 0.25%
solve for b in the mathematical formula A=1/2(a+b)h
Answer:
[tex]b = \frac{2A}{h} - a[/tex]Step-by-step explanation:
[tex]A = \frac{1}{2} (a + b)h[/tex]Multiply both sides by 2
We have
2A = (a + b)h
Divide both sides of the equation by h
That's
[tex] \frac{(a + b)h}{h} = \frac{2A}{h} [/tex]We have
[tex]a + b = \frac{2A}{h} [/tex]Move a to the right side of the equation to make b stand alone
We have the final answer as
[tex]b = \frac{2A}{h} - a[/tex]Hope this helps you
Dante is baking two different recipes, cookies and brownies. The cookie recipe requires 1.5 cups of sugar, and the brownie recipe requires 1.25 cups of sugar. Write an addition equation to represent the total amount of sugar Dante needs. Enter your answer as an addition equation, like this: 42+(-53)=-11
Answer:
2.75 cups of sugar
Step-by-step explanation:
Hello!
To find the total amount of sugar Dante needs we need to add the amount need for each recipe
Cookie recipe needs 1.5 cups
Brownie recipe needs 1.25 cups
1.5 + 1.25 = 2.75 cups of sugar
The answer is 2.75 cups of sugar
Hope this helps!
Answer:
the answer is 1.5+1.25=1.75
Step-by-step explanation:
i just added them together
your welcome ( it also depends on how many times he uses the recipes)
What is the volume of this rectangular prism?
2 cm
7/3 cm
2 cm
Answer:
28\3
Step-by-step explanation:
the product 9f 2 numbers is 16/9 . if one number is 5 /2 find the other number
Answer:
The answer is 32/45Step-by-step explanation:
Let the number be x
The product of two numbers is 16/9
That's
x × y = 16/9
One of the numbers is 5/2
That's
y = 5/2
So we have
[tex] \frac{5}{2} x = \frac{16}{9} [/tex]
Multiply through by the LCM
The LCM of 2 and 9 is 18
That's
[tex]18 \times \frac{5}{2} x = \frac{16}{9} \times 18[/tex]
9 × 5x = 16 × 2
45x = 32
Divide both sides by 45
we have the final answer as
[tex]x = \frac{32}{45} [/tex]
Hope this helps you
If the measure of angle 4 is (11 x) degrees and angle 3 is (4 x) degrees, what is the measure of angle 3 in degrees?
Answer:
is it 2
Step-by-step explanation:
4.
Aliyah, Brenda and Candy share a sum of money in the ratio of 3:5:6. After
Candy gives $100 to Aliyah and $50 to Brenda, the ratio becomes 2 : 3:3.
(a) Suppose Aliyah has $3x at the start, express Candy's initial sum of money in
terms of x.
(b) Find the value of x.
(c) Hence, how much money does Brenda have in the end?
Answer:
(a) Candy's initial sum as a terms of x is $6x
(b) x = $60
(c) $350
Step-by-step explanation:
The given parameters are;
The ratio in which Aliyah, Brenda and Candy share the sum of money = 3:5:6
The amount Candy later gives Aliyah = $100
The amount Candy later gives Brenda = $50
The new ratio of the sum of the shared money between Aliyah, Brenda and Candy = 2:3:3
(a) Whereby Aliyah has $3x at the start, we have;
Total sum of mony = Y
Amount of Aliyah's initial share = Y × 3/(3 + 5 + 6) = Y×3/14
Therefore, Y×3/14 = $3x
x = Y×3/14 ÷ 3 = Y/14
Amount of Candy's initial share = Y × 6/14
Therefore Candy's initial sum as a terms of x = $6x
(b) Given that Aliyah's and Candy's initial sum as a function of x are $3x and $6x, therefore, in the ratio 3:5:6, Brenda's initial sum as a function of x = $5x
Which gives;
Total amount of money = $14x
With
6x - 150, 3x + 100, and 5x + 50, the ratio =is 2:3:3
Therefore, we have;
14·x × 2/(2 + 3 + 3) = (6·x - 150)
14·x × 2/(8) = (6·x - 150)
14·x × 1/4 = (6·x - 150)
7·x/2 = (6·x - 150)
12·x - 300 = 7·x
12·x - 7·x = 300
5·x = 300
x = $60
(b) The final amount of money with Brenda = 5x + 50 = 5 × 60 + 50 = $350
The final amount of money with Brenda = $350.
Find the area of the triangle ABC given A = 30°, b = 5, and c = 2 [tex]\frac{1}{2}[/tex]
[tex]\frac{1}{2}[/tex]
3[tex]\frac{1}{8}[/tex]
4[tex]\frac{1}{8}[/tex]
12[tex]\frac{1}{2}[/tex]
Answer:
a=6.25 unit^2
Step-by-step explanation:
Given:
A=30°
b=5
c=2½
Required:
a=?
Formula:
a=½b*h
Solution:
a=½b*h
=½5*2½
=½*5*5/2
=0.2*5*5/2
=2.5*5/2
=2.5*2.5
=6.25 unit^2
Hope this helps ;) ❤❤❤
Answer:
The answer is B or 3 1/8
Step-by-step explanation:
E
What is the value of x in the equation 3x.. by y 18, when y27
Answer:
x = 15
Step-by-step explanation:
We need to find the value of x in the equation 3x – y = 18 when y = 27.
To find the value of x, put y = 27 in the above equation.
So,
3x - 27 = 18
3x = 45
x = 15
So, the value of x is 15.
(b) In a group of 140 people, 74 like tea, 104 like milk and each person likes at least one of the two drinks.
How many people like both tea and milk?
(ii) How many people like tea only?
(iii) How many people like milk only?
Answer:
How many people like both drinks?
To find the overlap, we can do (104 + 74) - 140 = 38.
How many people like tea only?
To find this, we can do 74 - 38 = 36.
How many people like milk only?
To find this, we can do 104 - 38 = 66.
Answer:
Step-by-step explanation:
A = Number of people who likes tea
B = Number of people who likes milk
Total people = n(A U B) = 140
(i) n(AUB) = n(A) + n(B) - n(A ∩B)
n(A∩B) = n(A) + n(B) - n(A ∪B)
n(A∩B) = 74 + 104 - 140
= 178 - 140
n(A∩B) = 38
Number of people who likes both tea and milk = 38
(ii)Number of people who likes tea only = n(A) - n(A∩B)
= 74 - 38
= 36
(iii) Number of people who likes milk only = n(B) -n(A∩B)
= 104 - 38
= 66
solve for y 7y - 6y - 10 = 13
Answer: y=23
Step-by-step explanation:
[tex]7y-6y-10=13[/tex]
[tex]7y-6y=y[/tex]
[tex]y-10=13[/tex]
add 10 to both sides
[tex]y-10+10=13+10[/tex]
[tex]y=23[/tex]
or what value of g does the function f(g) = g2 + 3g equal 18?
Answer:
The 2 values that makes the function equal to 18 is 3 and -6
Step-by-step explanation:
First you can convert the quadratic equation from standard form to root form
Step 1: Substitute f(g) = 18
Step 2: Move 18 to the other side to create
0 = g² + 3g - 18
Step 3: Now we rearrange equation from standard form into root form
Step 4: Find what adds to 3 and multiples to -18
-3 and 6 adds to 3 and multiples to -18
Step 5: Now we substitute -3 and 6 into the root equation
0 = (g-3)(g+6)
Step 6: Set the brackets to 0 and solve
g - 3 = 0
g = 3
g + 6 = 0
g = -6
Simplify 2√28 - 3√63
Answer:
[tex]-5\sqrt{7}[/tex]
Step-by-step explanation:
2√28 - 3√63
4√7 - 9√7
- 5√7
Answer:
- 5√7
Step-by-step explanation:
the angle of elevation of the top of a tower from a point 42m away from the base on level ground is 36 find the height of the tower
Answer:
30.51 meters
Step-by-step explanation:
Given that:
The distance from the point to the base of the tower = 42 m, the angle of elevation = 36°.
According to sine rule if a,b,c are the sides of a triangle and its respective opposite angles are A, B, C. Therefore:
[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
Let the height of the tower be a and the angle opposite the height be A = angle of elevation = 36°
Also let the distance from the point to the base of the tower be b = 42 m, and the angle opposite the base of the tower be B
To find B, since the angle between the height of the tower and the base is 90°, we use:
B + 36° + 90° = 180° (sum of angles in a triangle)
B + 126 = 180
B = 180 - 126
B = 54°
Therefore using sine rule:
[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}\\\\\frac{a}{sin(36)}=\frac{42}{sin(54)}\\\\ a=\frac{42*sin(36)}{sin(54)}\\ \\a=30.51\ meters[/tex]
The height of the tower is 30.51 meters
The subject is operations on rational expressions.
The instructions are add or subtract the following expressions. Remember to find a common denominator when necessary. Reduce all answers to lowest terms.
Answer:
[tex]\frac{2(x-1)(2x+9)}{(x-3)(x-2)}[/tex]
Step-by-step explanation:
[tex]\frac{4x}{(x-3)}+\frac{6}{(x+2)}[/tex]
= [tex]\frac{4x(x+2)}{(x-3)(x+2)}+\frac{6(x-3)}{(x+2)(x-3)}[/tex]
Now we have done the denominators of each term of the expression equal.
Further we add the terms,
[tex]\frac{4x(x+2)}{(x-3)(x+2)}+\frac{6(x-3)}{(x+2)(x-3)}[/tex]
= [tex]\frac{4x(x+2)+6(x-3)}{(x-3)(x+2)}[/tex]
= [tex]\frac{4x^{2}+8x+6x-18}{(x-3)(x+2)}[/tex]
= [tex]\frac{4x^{2}+14x-18}{(x-3)(x-2)}[/tex]
Now factorize the numerator of the fraction.
4x² + 14x - 18 = 2(2x² + 7x - 9)
= 2(2x² + 9x - 2x - 9)
= 2[x(2x + 9) - 1(2x + 9)]
= 2(x - 1)(2x + 9)
Therefore, [tex]\frac{2(x-1)(2x+9)}{(x-3)(x-2)}[/tex] will be the answer.
circle the volume in cm^3 of a cylinder with the radius 5cm and height 8cm
Answer:
628 [tex]cm^{3}[/tex]
Step-by-step explanation:
Since the formula to find the volume of a cylinder is [tex]\pi r^{2}[/tex]h, we just need to fill things in.
Since the radius is 5 and the height is 8 and we know that pi=3.14, our new equation is:
3.14*5^2*8.
5*5=25. Now we simplify.
3.14 * 25 * 8
78.5 * 8
628 [tex]cm^{3}[/tex]
Hope this helps!! <3 :)
Answer:
628.32
Step-by-step explanation: googled it lol
The basic unit in which data are stored in an accounting system is called an __________. These storage units should be so constructed as to readily receive money measurements of the __________ or ___________ in the items for which they are established. The basic unit in which data are stored in an accounting system is called an __________. These storage units should be so constructed as to readily receive money measurements of the __________ or ___________ in the items for which they are established.
Answer:
an accounts; credit or debit.
Step-by-step explanation:
Remember, accounting involves activities done to keep financial records. Interestingly, a similar term is used to refer to the basic unit in which data are stored in an accounting system called accounts.
Also, we need to bear in mind that this financial records written as storage units would include incoming or outgoing money measurements often called debit or credit transactions in the items for which they are established.
If the equation of a line is y = -2/3x + 1/3, what is the slope and y-intercept?
Step-by-step explanation:
Hey, there!!!
Let me explain you very simply,
The equation is;
y= -2/3 x +1/3
Now, we know the equation of a st.line in slope intercept form is,
y= m.x + c
now, comparing the given equation with y= m.x + c. we get,
m= -2/3
and y-intercept = 1/3.
Hope it helps...
Four witches are making a brew.Patricia puts in x frogs legs.sheila puts in five more than patricia.Anne puts double the amount that Sheila adds,and Winifred adds three times the number Sheila adds.
write down an algebraic expression for:
Sheila. Anne. Winifred
Answer:
see explanation
Step-by-step explanation:
Given Patricia puts in x frogs legs, then
Sheila puts in x + 5 ( 5 more than Patricia )
Anne puts in 2(x + 5) ( double the amount of Anne )
Winifred puts in 3(x + 5) ( three times the number of Sheila )
URGENTLY NEED THIS ASAP PLZ TYSM
Marcie solved the following inequality, and her work is shown below:
−2(x − 5) ≤ 6x + 18
−2x + 10 ≤ 6x + 18
−8x +10 ≤ 18
−8x ≤ 8
x ≤ −1
What mistake did Marcie make in solving the inequality?
She subtracted 6x from both sides when she should have added.
She subtracted 10 from both sides when she should have added.
She did not make a mistake.
When dividing by −8, she did not change the direction of the sign.
Answer:
fifth option
Step-by-step explanation:
Given
- 2(x - 5) ≤ 6x + 18 ← distribute left side
- 2x + 10 ≤ 6x + 18 ( subtract 6x from both sides )
- 8x + 10 ≤ 18 ( subtract 10 from both sides )
- 8x ≤ 8
Divide both sides by - 8, reversing the sign as a result of dividing by a negative quantity, thus
x ≥ - 1
Please help asap. I will give a thanks, rate your answer and mark the brainliest one too!
The formula v^2 - u^2 = 2as is used to model a moving object, where: u= starting speed (m/s) v = final speed (m/s) a = acceleration (m/s²) s = distance travelled (m) A car stops at some traffic lights. It then accelerates at 2.3 m/s² until it reaches a speed of 13.6 m/s. Find the distance, s, that it has travelled since stopping at the lights. Give your answer correct to 1 decimal place.
Answer:
s = 40.2 m
Step-by-step explanation:
It is given that,
Initial speed of the car, u = 0 m/s
Final speed of the car, v = 13.6 m/s
Acceleration of the car, a = 2.3 m/s²
We need to find the distance, s, that it has travelled since stopping at the lights. For this, we will use third equation of motion as :
[tex]v^2-u^2=2as[/tex]
s is distance
[tex]s=\dfrac{v^2-u^2}{2a}\\\\s=\dfrac{(13.6)^2-0}{2\times 2.3}\\\\s=40.2\ m[/tex]
So, the distance covered by the car is 40.2 meters.
need help on this one
Please answer the question in the image below ASAP
Answer:
c
Step-by-step explanation:
diameter will be 36, radius 18 and the height is 6
Bella is wrapping a cube-shaped gift box that measures 8.5 inches along each edge. How many square inches of wrapping paper is needed to cover the box completely without overlapping? A. 34 in.2 B. 72.25 in.2 C. 433.5 in.2 D. 614.125 in.2
Answer:
433.5 in²
Step-by-step explanation:
A cube has 6 sides
Area of 1 side = 8.5 x 8.5 = 72.25 in²
Area of 6 sides = 72.25 x 6 = 433.5 in²
Answer: c-433.5
Step-by-step explanation: A cube has 6 sides
Area of 1 side = 8.5 x 8.5 = 72.25 in²
Area of 6 sides = 72.25 x 6 = 433.5 in²
Answer: 433.5 in²
Daily question:Help and I’ll make you brainliest and give you thanks show your work 11 points.
Answer:
y = 17x + 130$283 for 9 daysStep-by-step explanation:
The daily charge will be 17x for x days of rental. Added to the flat rate, the total becomes ...
y = 130 +17x
__
For 9 days, the cost is ..
y = 130 +17·9 = 130 +153 = 283 . . . . dollars charge for 9 days
convert -1.2i - 1.6j to polar cordinates
Answer:
Step-by-step explanation:
z=xi+yj
x=-1.2=r cosθ (say)
y=-1.6=r sinθ(say)
square and add
r²cos²θ+r² sin ² θ=(-1.2)²+(-1.6)²=1.44+2.56=4
r²=4
r=2
divide
tanθ=y/x=-1.6/(-1.2)=16/12=4/3
θ=tan ^{-1}(4/3)≈53.13°
so polar coordinates are (2,53.13°)
Maureen plants tulips in a rectangular flower bed that is 2 cubed feet wide and 2 Superscript 4 feet long.
Answer:
The area would be 128ft^2
2^4 i= 2x2x2x2
2^3 = 2x2x2
multiply them and you get 128ft6^2
Answer:
128ft^2
Step-by-step explanation:
took the quiz just now :D
