Step-by-step explanation:
Given the expression that modeled the relationship between these quantities (calories from grams of carbohydrate and the rest of the ingredients) as
4c+5 = 27
From the equation, the constant value of 5 represents the calories in grams of the rest of the ingredients present in the bite.
Let us calculate the value of c from the equation
4c+5 = 27
4c + 5- 5 = 27-5
4c = 22
c = 22/4
c = 5.5
This means that the total calories of carbohydrate the granola bite contains is 4(5.5) i.e 21 calories of carbohydrate
Note that 8 cannot be the solution to the equation because for us to eliminate 5 from both sides of the equation, we need to subtract it from both sides not add. If 5 was added to both sides, the value of c would have been (32/4 i.e 8) which would have been wrong.
In the diagram, which angles from a linear pair ? Select 3 options
A mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint. To make the same shade using the 35 teaspoons of blue paint, how much red paint would you need? Complete the double number line below to find the amount of red paint and circle this ratio.
Answer:
87.5 teaspoons
Step-by-step explanation:
Given that a mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint.
So, Purple paint : Blue paint = 6 :15
To make the same shade the ratio of purple and blue paint must be the same.
In the new mixture, the amount of purple paint =35 teaspoon.
let the amount of red paint =x teaspoon.
So, in the new mixture,
Purple paint : Blue paint = 35 : x
So, to make the same shade, the ratio of purple and red paint must be the same, i.e
35 : x = 6 :15
[tex]\Rightarrow \frac {35}{x}=\frac{6}{15}[/tex]
[tex]\Rightarrow x={35\times15}{6}=87.5[/tex]
Hence, 87.5 teaspoons of red paint required to mix with 35 teaspoons of purple paint to make the same shade.
What is the value of b in this diagram?
A. 12
B. 10.2
C. 9
D. 8
Answer:
It is NOT c
Step-by-step explanation:
I clicked c and it was wrong lol.
Answer:
its D
Hope this helps ⊂◉‿◉つ
please help me!! :)
Answer:
1/2
Step-by-step explanation:
hope this helps :o
What operation is happening in an additive pattern??
Multiplication
Subtraction
Addition
Division
Help me solve this problem please
Answer:
-8
Step-by-step explanation:
[tex] \frac{8 - 2x}{12} = 2[/tex]
[tex]8 - 2x = 24[/tex]
[tex] - 2x = 16[/tex]
[tex]x = - 8[/tex]
8- 2x/12 = 2
Multiply both sides by 12:
8 - 2x = 24
Subtract 8 from both sides:
-2x = 16
Divide both sides by -2:
X = -8
A bus makes a stop at 2:30, letting off 11 people and letting on 8. The bus makes another stop ten minutes later to let off 5 more people. How does the number of people on the bus after the second stop compare to the numbers of the people on the bus before the 2:30 stop ?
Answer:
The actual number of passengers on the bus falling by 8 after the second stop
Step-by-step explanation:
Assume that the total passengers on the bus before 2:30 was x
At 2:30:
11 passengers got off and 8 got on.
So, the number of passengers
= x - 11 + 8
= x - 3
10 minutes later:
5 passengers got off the bus
So, the number of passengers
number of passengers = (x - 3) - 5
number of passengers = x - 8
now by comparing,
The actual number of passengers on the bus falling by 8 after the second stop
Roses are sold for 1.50 each or 4 for $6.00 on a graph of roses vs the total price of the roses what would be the slope
Answer:
no
Step-by-step explanation:
unu
Step-by-step explanation:
do you have the answer now I need it please
Перечислите все целые числа, расположенные между числами –6,6 и –1,2.
Answer:
-6, -5, -4,-3,-2
Step-by-step explanation:
Целые числа - это просто целые числа, положительные или отрицательные. Целые числа - это числа без дробных частей. Целые числа от -6,6 до -1,2 следующие:
-6,-5,-4,-3,-2
Which statement is TRUE? A) The area of the blue circle is greater than the sum of the areas of the green square and black circle. B) The area of the blue circle is less than the sum of the areas of the green square and black circle. C) The area of the blue circle is equal to the sum of the areas of the green square and black circle. D) The area of the blue circle is twice the sum of the areas of the green square and black circle.
Answer:
C. The area of the blue circle is equal to the sum of areas of green square and black circle.
Step-by-step explanation:
The area of a circle is the circumference of the circle measured with its diameter. In the given scenario the area of the blue circle is greater than the area of black circle. This is because of the difference in diameter of the two circles. The area of green square plus the area of black circle equals the blue circle.
Pictures, x
5
6 7
8
Profit, y
20
24
28
32
whats the fraction after being simplifyed?
*Eight is added to three times a number 'x' gives 15".
Answer:
x+8 =15
x=15-8
x=7 .
this is the answer
Answer:
3x + 8 = 15
(If you wanted to solve it then:) x = 7/3
Step-by-step explanation:
Let's convert that into an equation.
Let "x" be the number.
3x + 8 = 15
If the question was to answer it, look below:
3x + 8 = 15
3x = 7
x = 7/3
Hope this helped! If not, please let me know! <3
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles. How many caramel apples are covered with sprinkles
Answer:
20 caramel apples are covered with sprinkles
Step-by-step explanation:
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles.
Let the Total fraction of caramel apples = 1
1 = 1/5 + 1/3 + 3/10 + caramel apples covered in sprinkles
Fraction of caramel apples covered in sprinkles = 1 - (1/5 + 1/3 + 3/10 )
LCM of denominator = 30
= 1 - (6 + 10 + 9/30)
= 1 - 25/30
= 5/30
= 1/6
How many caramel apples are covered with sprinkles
This is calculated as :
Fraction of caramel apples covered in sprinkles × Total number of caramel apples
= 1/6 × 120
= 20 caramel apples covered in sprinkles.
Tylond puts $5,000 into a savings account that earns 4%
simple interest. How much interest does he earn after 3
years?
Answer:
125,000
Step-by-step explanation:
A model of a rectangular patio and is a landscaping business will be enlarged by a scale factor of 2 when is installed in the customers backyard. The area of the new and larger I know they want to see square feet which is the area of the landscapers model
Answer:
The answer is "40 square feet".
Step-by-step explanation:
The formula of the area:
[tex]\bold{A = (2L \times 2W)}\\\\[/tex]
[tex]= 4LW \\\\[/tex]
if:
[tex]\to 4A = 160 \\\\[/tex]
[tex]= \frac{160}{4} \\\\ = 40 \ \ sq \ ft[/tex]
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic centimeters (cc) when the pressure is 300 millimeters of mercury (mm hg) , find the volume when the pressure is 400 mm hg
Answer:
V₂ = 450 cm³
Step-by-step explanation:
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P.
[tex]V\propto \dfrac{1}{P}[/tex]
If V₁ = 600 cm³, P₁ = 300 mm hg, P₂ = 400 mm hg
We need to find a new volume. Using the above concept,
[tex]V_1P_1=V_2P_2\\\\V_2=\dfrac{V_1P_1}{P_2}\\\\V_2=\dfrac{600\times 300}{400}\\\\V_2=450\ cm^3[/tex]
So, when the pressure is 400 mm hg, its volume is 450 cubic centimeters
CAN SOMEONE HELP ME PLEASE AND THANK YOU?!
Answer:
AB is parallel to YZ, BC is parallel to XY, AC is parallel to XZ.
What is the average rates of change of f(x) = x2-5 over the interval [-2,0].
The straight line 4x+5y-20 = 0 cuts the X-intercept, Y-intercept and hence find area of traingleAOB
Answer:
The area of the triangle AOB is 10
Step-by-step explanation:
The line 4x+5y-20=0 forms a triangle AOB as shown in the figure below. The points A and B are the y-intercept and x-intercept respectively, and the point O is the origin.
To find the intercepts, we set the other variable to zero and solve the resulting equation.
Set x=0, the y-intercept is found as follows:
4(0)+5y-20=0
5y=20
y=20/5=4
The y-intercept is y=4
Set y=0, the x-intercept is now found:
4x+5(0)-20=0
4x=20
Solve:
x=20/4=5
The x-intercept is x=5
Now, knowing the base b and the height of the triangle h are 5 and 4 respectively, the area of the triangle is:
[tex]\displaystyle A=\frac{bh}{2}[/tex]
[tex]\displaystyle A=\frac{5\cdot 4}{2}=10[/tex]
The area of the triangle AOB is 10
can someone please answer these 2
Answer:
the second one is C
Step-by-step explanation:
Help me please I need to answer this
Jack feeds his dog 34 cups of dog food every day. How many days will 6 cups of dog food feed Jack's dog?
Answer:
Dog food will be enough for 8 days
Brainliest pls
Step-by-step explanation:
if the weight of an object is 900 newton what is its mass. plz tell answer fast I will mark you as the brainlest.
≈ 92 kg
Step-by-step explanation:Hi there !
w = m×g => m = w/g
g = 9.8m/s² = 9.8m·s⁻²
w = 900N = 900kg⋅m⋅s⁻²
m = 900kg⋅m⋅s⁻²/9.8m·
= 91.83 kg
≈ 92 kg
Good luck !
What is the domain for a continuous function
Answer: the third one
Step-by-step explanation: C
Solve the absolute value equation. |2x-31| = 17
Answer:
x = 24 x = 7
Step-by-step explanation:
|2x-31| = 17
Absolute value equations have 2 solutions, one positive and one negative
2x-31 = 17 and 2x-31 = -17
Add 31 to each side
2x-31+31 = 17+31 and 2x-31+31 = -17+31
2x = 48 2x = 14
Divide by 2
2x/2 = 48/2 2x/2 = 14/2
x = 24 x = 7
Answer:
24
To find:
x
Step-by-step explanation:
2x-31 = 17
2x=17+31
2x=48
x=48/2
x=24
hope it helps you!
Help plz if someone could answer this problems soon as possible that would be great. It is a geometrical proof Given: angle 1 and angle 2 are complementary angle 1 is congruent to angle 3 and angle 2 is congruent to angle 4 prove: angle 2 and 3 are complementary
Answer:
<2 + <3 = [tex]90^{o}[/tex]
Thus, angles 2 and 3 are complementary.
Step-by-step explanation:
Complementary angles are two or more angles that their sum equals [tex]90^{o}[/tex]. Given that: i. <1 and <2 are complementary
ii. <1 ≅ <3
iii. <2 ≅ <4
Prove that: <2 and <3 are complementary
Proof:
<1 + <2 = [tex]90^{o}[/tex] (complementary angles)
<1 ≅ <3 (congruent property)
<2 ≅ <4 (congruent property)
⇒ <3 + <4 = [tex]90^{o}[/tex] (complementary angles by congruent property)
Since <1 ≅ <3,
∴ <2 + <3 = [tex]90^{o}[/tex]
Thus, angles 2 and 3 are complementary
14. Using 1 inch = 15 feet as the scale factor, what are the blueprint dimensions of a room in a model house that is actually 30 feet x 45 feet?
O2 in x 3 in.
O 3 in 2 in
O2 in x 2 in
O 3 in x 2 in
(1,9)
Write the interval as an inequality.
Answer:
1<x<9
Step-by-step explanation:
The parenthesis means that the inequality symbols are simply less than rather than less than or equal to. From there on, you just plug in the values on either side of x and you have your inequality.
A girl’s club held a fundraiser last year and raised $600 for the local soup kitchen. This year they raised $960. What is the percent change in the total amount raised by the girl’s club?
The percent change is 0.38%.
The percent change is 0.6%.
The percent change is 38%.
The percent change is 60%.
Answer: option D
Step-by-step explanation:
Answer:
D.) The percent change is 60%
Step-by-step explanation:
I know this because 960-600= 360
360÷600= .6
.6= .60
.60= 60%
Hope this helped!!! :)
Please can anyone help me
Find the missing coordinate if the ordered pair is to be a solution to the given equation.
(-3, ?) for the equation 4x + y = 5
Answer:
17 (I think)
Step-by-step explanation:
substitue -3 in for x so 4(-3) + y = 5
-12+ y =5
+12 +12
y=17