Step-by-step explanation:
Let's make the number we're finding to be [tex]a[/tex]. So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be [tex]\frac{a}{4} +12\\[/tex]. It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be [tex]\frac{a}{3} -5\\[/tex]. Since they are the same, we have the equation below.
[tex]\frac{a}{4} +12 = \frac{a}{3} -5\\[/tex]
All we have to do now is to find [tex]a[/tex].
[tex]\frac{a}{4} +12 = \frac{a}{3} -5 \\ \frac{a +48}{4} = \frac{a -15}{3} \\ (3)(a +48) = (a - 15)(4) \\ 3a +144 = 4a -60 \\ (60 -3a) + 3a +144 = 4a -60 +(60 -3a) \\ a = 204[/tex]
Answer:Our number must be [tex]204[/tex]. I think
Two lawn care companies are competing for a landscaping contract. Company A charges a $250 monthly consulting fee plus $10 per square foot of landscaping, whereas Company B charges a $90 monthly consulting fee plus $12 per square foot of landscaping. For how many square feet of landscaping will the two companies charge the same amount?
Answer: 80 sq. ft
Step-by-step explanation:
Company A’s charges can be represented by the equation: 10m + 250
Company B’s charges can be represented by the equation: 12m + 90
To find when the square feet got which they have the same amount, I will set them equal to each other and solve for it.
10m+250=12m+90
-10m -10m
250=2m+90
-90 -90
160=2m divide both side by 2
80=m
For 80 square feet, both companies charge the same amount.
calculate the areas of these rectangles
A(a) = 24 cm²
A(b) = 40.04 cm² ≈ 40 cm²
Step-by-step explanation:Hi there !
area formula (rectangle)
A = l × w
A(a) = 8cm × 3cm = 24 cm
A(b) = 5.2cm × 7.7cm = 40.04 cm² ≈ 40 cm²
Good luck !
When the point (-3,-5) is reflected across the x-axis, what is the resulting image?
O (2.-5)
O (-5,-2)
O (2,5)
O (5,2)
O (-2,5)
Answer:
well the answer is (2,-5)
Step-by-step explanation:
The answer is (2,-5) is because on a graph none of the other Coordinates Match (-3,-5).
Which number is not in scientific notation?
A. 7.8 • 10^6
B. 1.45 • 10^-7
C. 0.33 • 10^-15
D. 9• 10^19
Answer:
C is not in scientific notation
Step-by-step explanation:
Answer:
c's not
Step-by-step explanation:
what is fourteen less than three fourths of a number is negative eight written as a equation
-232-(-508)
HELP !!!!!!!!
Answer:
276
Step-by-step explanation:
The minus reverses the negative too a positive then you subtract
Can Someone help me please.
Answer:
120 degrees
Step-by-step explanation:
Angles 1 and 3 are congruent, because they are vertical angles, so we must set them equal to each other, solve for x and plug in x.
Hope this helps :-)
Answer:
3 = 108 degrees
Step-by-step explanation:
2x + 80 = 3x + 60
get the variable and number on different sides
2x + 80 = 3x + 60
2x + 80 - 80 = 2x
3x + 60 - 3x = 60
2x + 3x = 5x
60 + 80 = 140
5x = 140
now divide each side by 5
5x / 5 = x
140 / 5 = 28
x = 28
28 + 80 = 108
I tried many times to solve this question: Joy makes 6,5 litres soup correct to the nearest 0.5 litres. She serves the soup in 280ml portions correct to the nearest 10ml. 22 people order this soup. Does joy definitely has enough soup to serve the 22 people. show how you decide Your final line must be written as joy definitely does have enough soup or joy may not have enough soup. If you can please explain it if not just give the answer.
Joy makes 6.5 litres soup correct to the nearest 0.5 litres. She serves the soup in 280ml portions correct to the nearest 10ml. 22 people order this soup. Does joy definitely has enough soup to serve the 22 people.
Answer:
Yes, Joy definitely does has enough soup
Step-by-step explanation:
From the question, we know,
Joy make 6.5 litres of soup
Serves it in 280ml portions
Step 1
We convert the portions to liters
1 ml = 0.001 litre
280 ml
= 280ml × 0.001 litre/1 ml
= 0.28litre
Step 2
We divide 6.5 liters by 0.28 to find out how many people can be served
= 6.5 ÷ 0.28
= 23.2142857143 people
We can see that 6.5 liters soup can serve 23 people approximately.
Therefore, Yes, Joy definitely does has enough soup to serve 22 people
An item is regularly priced at $77. Scott bought it at a discount of 85% off the regular price.
tha BSS
mind how much Scott pald.
Answer:
20% x $95 = .20 x $95 = $19.
Step-by-step explanation:
A company manufactures two products. A and B on two machines, I and II. It has been determined that the company will realize a profit of $3/unit of product A and $5/unit of product B. To manufacture a unit of product A requires 11 min on machine I and 7 min on machine II. To manufacture a unit of product B requires 19 min on machine I and 11 min on machine II. There are 5 hr of machine time available on machine 1 and 3 hr of machine time available on machine II in each work shift. How many units of each product should be produced in each shift to maximize the companies profit?
Answer:
product A on machine 1 would make 27 units (rounded down) 81 dollars profit.
product A on machine 2 would make 25 units (rounded down) 75 dollars profit.
product b on machine 1 would make 15 units (rounded down) 75 dollars profit.
product b on machine 2 would make 16 units (rounded down) 80 dollars profit.
Step-by-step explanation:
a1 refers to product a on machine 1
a2 refers to product a on machine 2
same rule applies for product b 1 and 2
Need help asap! Tysmmm
Answer:
109.6cm^2
Step-by-step explanation:
To find the area of a trapezoid the formula is (a+b)/2*h so for this problem, (12+15.4)/2*8= 27.4/2*8= 13.7*8=109.6cm^2
Hope this helped you out! :)
The swimming pool is open when the high temperature is higher than 20°C. Laney tried to swim on Monday and Thursday the pool was open on Monday but it was closed on Thursday the high temperature it was 30°C on Monday but decreased at a constant rate in the next three days. What is an any quality to determine the rate of temperature decrease in degrees Celsius per day from monday to thursday
Answer:
30 - 3t ≤ 20
Step-by-step explanation:
Given that :
Pool is open when high temperature is higher than 20°C
From 30°C ; temperature decreased at a constant rate in the next three days ; that is the daily fall in temperature for 3 days is the same.
Let the fall or decrease in temperature = t
Constant decrease for 3 days = 3t
Change in temperature over 3 days :
Initial temperature - constant decrease
30°C - 3t
Hence, inequality to determine rate of temperature decrease :
30 - 3t ≤ 20
What is the value of x in the proportion below?
57=x21
Answer:
x=[tex]\frac{19}{7}[/tex]
Step-by-step explanation:
57=x×21
57=21x
21x=57
x=[tex]\frac{19}{7}[/tex]
Answer:15
Step-by-step explanation:
0.6399 round to the nearest tenth
ANSWER : 0
EXPLANATION :
Help please I have a F and I’m confused..?
Answer:
x = -4
Step-by-step explanation:
x-5 = -9
Add 5 to each side
x-5+5 = -9+5
x = -4
Answer:
A. x = -4
Step-by-step explanation:
x - 5 = -9 (plus 5 on each side to get rid on 5 on the left side) so -9 + 5
x = -4
i need help with this q9
Answer:
no
Step-by-step explanation:
A proportional relationship must go through the point ( 0,0). This does not go through the origin so this is not proportional
The relationship is linear but non proportional. The graph is a line but it does not go through the origin.
A bakery sold apple pies for $12 and blueberry pies for $14 on Saturday sold a total of 41 pies and collected a total of $536 how many apple pies did you sell and how many blueberry pies do they sell
Answer:
22 blueberry pies and 19 apple pies.
Step-by-step explanation:
This can be solved using a system of equations. Your equation for amount of pies sold is x + y = 41, with x representing apple pies and y representing blueberry pies, and 41 being the total amount of pies sold. The other equation is for the amount of dollars earned from selling the pies, which is:
12x + 14y = 536 $12 per apple pie, $14 per blueberry pie, and a total of $536.
Let's first solve for x. The new equation would be x = 41 - y. Now, we plug this equation into the second equation.
12(41 - y) + 14y = 536 Here we substituted x for the equation we made.
429 - 12y +14y = 536
-12y +14y = 44 Here we moved the 429 to the other side by subtracting it from the left and right.
2y = 44
y = 22. Now we know that there was a total of 22 blueberry pies sold. Now we plug 22 pies back into the very first equation to find x, the amount of apple pies.
x + 22 = 41
x = 19. Now we know there was a total of 19 apple pies sold.
Hope this helps!
Find the value of x
I’ll give you 44 points
Answer:
#1. 115
#2. 16.36
#3. 16.36
#4. 1.49
Step-by-step explanation:
#1. 180 - 65 = 115
#2. 180 ÷ 11 = 16.36
#3. 16.36
#4. 1.49
Hope this helped!
Pls Brainliest! It would mean a lot ;)!
-2(a-3)=12 Solve for a.
-3
Step-by-step explanation:
-2a+6=12
collect like terms
-2a=12-6
-2a=6
divide both sides hy the coefficient of a
-2a/-2 =6/-2
a= -3
ab+c=de-f
solve for d
BUT SHOW ME THE STEPSS
Answer:
ab*e/2-c+f=d
Step-by-step explanation:
d = 2.426
3b+2(b-3)=4 Solve for b.
Answer:
b = 2
Step-by-step explanation:
3b + 2(b - 3) = 4
--distributive property-- 2(b - 3) = 2b - 6
3b + 2b - 6 = 4
(add like terms)
5b - 6 = 4
(add 6 to both sides)
5b = 10
(divide both sides by 5 to get b alone)
b = 2
consider the equation x/3 +7 =13 what is a equvalent equation using the multipucation property of equlity
Answer:
x=18
Step-by-step explanation:
Find the area and perimeter of a rectangle if the length is (x+7) and the width is (x+3).
Answer:
P=4x+20
A=x^2+10x+21
Step-by-step explanation:
Perimeter=2(x+7)+2(x+3)
2x+14+2x+6
4x+20
Area=(x+7)(x+3)
x^2+10x+21
l = (x + 3)
b = (x + 7)
Area:
= I x b
= (x + 3)(x + 7)
= x(x + 7) + 3(x + 7)
= x² + 7x + 3x + 21
= x² + 10x + 21
Perimeter:
= 2(l + b)
= 2((x + 3) + (x + 7)) = 2(2x + 10)
= 2(x + 3 + x + 7)
= 4x + 20
Se realiza un viaje en avión desde una ciudad A a una ciudad C, haciendo escala en un aeropuerto ubicado en la cuidad B, en el primer aeropuerto se bajan la mitad de los pasajeros, en su segunda parada llegando a su destino se bajan 1/3 pasajeros, la cantidad de pasajeros que quedan en el avión serán
Answer:
La cantidad de pasajeros que quedan en el avión serán [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Sabes que en el primer aeropuerto se bajan la mitad de los pasajeros, es decir que se bajan [tex]\frac{1}{2}[/tex] pasajeros, y en la segunda parada llegando a destino se bajan [tex]\frac{1}{3}[/tex] pasajeros. Entonces, la cantidad de pasajeros que se bajan en ambas paradas es la suma de la cantidad de pasajeros que se bajaron entre el primer y segundo aeropuerto:
[tex]\frac{1}{2}+\frac{1}{3}[/tex]
Lo primero que debes hacer es hayar un denominador común entre el 2 y el 3. Para eso, hallas el mínimo común múltiplo entre ambos, en este caso 6.
Luego debes multiplicar cada numerador por el número que hayas multiplicado el denominador. Para ello, dividis este mínimo común múltiplo entre el denominador inicial, y este resultado se multiplica por el numerador de esa fracción. De esta manera se obtiene:
[tex]\frac{1}{2}+\frac{1}{3}=\frac{3}{6} +\frac{2}{6}[/tex]
Finalmente se suman los numeradores y se obtiene:
[tex]\frac{1}{2}+\frac{1}{3}=\frac{5}{6}[/tex]
Considerando que 1 es un entero que representa la cantidad de total de pasajeros, para calcular la cantidad de pasajeros que quedan en el avión se realiza la sustracción:
[tex]1-\frac{5}{6}[/tex]
Resolviendo de manera similar a la suma, se obtiene:
[tex]1-\frac{5}{6}=\frac{6}{6} -\frac{5}{6}[/tex]
[tex]1-\frac{5}{6}=\frac{1}{6}[/tex]
Entonces la cantidad de pasajeros que quedan en el avión serán [tex]\frac{1}{6}[/tex]
Find the value of the variable.
Answer:
boom ganag
Step-by-step explanation:
Round each mixed number to the nearest whole number. Then, estimate the product. 8 9\10 x 1 4\5
What is 2x+1+7x=-8? Could you show work, please?
Answer:
Step-by-step explanation:
2x + 1 + 7x= -8
~2x + 7x = 9x
9x + 1 = -8
move 1 to the other side
9x = -1 -8
9x = -9
divide
X = -1
Answer:
Step-by-step explanation:
Simplifying
2x + -1 = 7x + -8
Reorder the terms:
-1 + 2x = 7x + -8
Reorder the terms:
-1 + 2x = -8 + 7x
Solving
-1 + 2x = -8 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
-1 + 2x + -7x = -8 + 7x + -7x
Combine like terms: 2x + -7x = -5x
-1 + -5x = -8 + 7x + -7x
Combine like terms: 7x + -7x = 0
-1 + -5x = -8 + 0
-1 + -5x = -8
Add '1' to each side of the equation.
-1 + 1 + -5x = -8 + 1
Combine like terms: -1 + 1 = 0
0 + -5x = -8 + 1
-5x = -8 + 1
Combine like terms: -8 + 1 = -7
-5x = -7
Divide each side by '-5'.
x = 1.4
Simplifying
x = 1.4
equivalent of 100 sqrt 2
Answer:
141.421356237
EASY 10 POINTS QUESTION 6 PLEASEEEE HELP
Answer:
x = -2
Step-by-step explanation:
you are traveling on a bus to camp, which is 200 miles away, at 50 mph. the number of miles, n, that you have to travel after t hours.
Answer:
Step-by-step explanation:
the answer is 4 hours mark me brainliest pls