The required amount of sugar is given as 40 grams.
Given that,
A new soft drink has 20% less sugar than before. The drink had 50 grams of sugar originally, how much less sugar it has now is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
According to the question,
The final amount of sugar = [1 - 0.02][50]
= 40 grams
Thus, the required amount of sugar is given as 40 grams.
Learn more about simplification here:
https://brainly.com/question/1369388
#SPJ2
Try the following puzzle:
A bat and ball cost $1.10.
The bat costs one dollar more than the ball.
How much does the ball cost?
Answer:
10 cents
Step-by-step explanation:
the bat cost 1 dollar so subtract 1 dollar from 1.10 and you are left with .10 or 10 cents
Answer:
the ball costs $0.05
Step-by-step explanation:
if the total is $1.10, and the bat is $1 more than the ball, you do
1+2x=1.10. do the algebra, and you get 0.05. hope this helps.
WILL MARK BRAINLIEST PLEASE PLEASE solve the inequality for x. -2x - 2 < 8
Answer:
Step-by-step explanation:
we will add like terms
-2x-2<8
we will add 2 on both sides
-2x<10
divide by 2
-x<5
multiply by -1
x>-5
How you Can find the area of a composite figure?
Answer:
Here are the steps to find the area of a composite figure.
1. Split the composite figure into simpler shapes.
2. Find the area of each of the simpler shapes.
3. Add the area of all the simpler shapes together.
4. You'll have the area of the composite figure.
Let me know if this helps!
Brianliest for correct answer
Answer: i Think it would be 80
Step-by-step explanation: a right triangle is 90 degrees so how I got 80 is 90-10=80 I might be wrong though
s=ut+ 1/2 at²
u=10 a= -2 t= 1/2
work out the value of s
Rewrite in simplest terms: 8(-10r - 9) + 9r
Answer:
-2
Step-by-step explanation:
you answer the brackets first then add 9 then add 8
Is 3 a factor of 24s - 167
yes
no
HELPPP
Please help clarify answer and step by step explanation
Answer:
10
Step-by-step explanation:
When u cross multiply
[tex]5 \div x = 3 \div6[/tex]
= 3x=30(5*6)
= x=30/3
=x=10
Definition of equilateral triangle
Answer:
An equilateral triangle has all its 3 angles the same.
Hope this helped. :)
Equilateral triangle:
An equilateral triangle is a triangle having three equal sides, or what is sometimes referred to as a "regular" triangle. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a particular case of an isosceles triangle.
Additionally, an equilateral triangle has three equal angles of 60 degrees.
Equilateral Triangle Perimeter:
In geometry, any polygon's perimeter is equal to the sum of its sides. The perimeter of an equilateral triangle is equal to the sum of its three sides.
In the event that ABC is an equilateral triangle, then its perimeter is;
Perimeter = AB + BC + AC
P = a + a + a
P = 3a [where "a" is the triangle's side length.]
To read more about "Equilateral Triangle" here:
brainly.com/question/10681095
Increase 386.3 by 4%
Given:
Increase 386.3 by 4%.
To find:
The value for given statement.
Solution:
We have,
Initial value = 386.3
Increasing rate = 4%
The increased value is
[tex]\text{New value}=\text{Initial value + Increasing rate }\times \text{Initial value}[/tex]
[tex]\text{New value}=386.3+\dfrac{4}{100}\times 386.3[/tex]
[tex]\text{New value}=386.3+15.452 [/tex]
[tex]\text{New value}=401.752[/tex]
Therefore, the required value is 401.752.
35 is 29% of what number
Answer:
10.15 is 29% of 35.
Step-by-step explanation:
What is the volume of the tissue box 5in 7in 2in
Answer:
70 inches cubed
Step-by-step explanation:
5 times 7 times 2 gives you the volume.
8t=−32
Help a sister out
Answer:
t=-4
Step-by-step explanation:
Answer:
t = -4
Step-by-step explanation:
divide each term by 8 and simplify
The speed limit on a highway is 70 miles per hour. About how fast is this in miles per minute
PLEASE SOON!!
Answer:
In the case of 70 mph, time would be 105/70 or 1.5 hours (90 minutes).
can i please get some help asap
What is 4 9/29 + 6 5/58 ?
Answer:
it 10 23/58
Step-by-step explanation:
i need to learn more and pay attention
Solve the simultaneous equations
x + 5y = 20
x + 3y = 14
X= ?
Y= ?
Answer:
x=5, y=3
Explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Step-by-step explanation:
x=5 y=3 that is it that guy was right
Five families have signed up to bring a pie. If a single serving of pie is 1/6 of the entire pie, how many people will 5 pies serve?
Answer:
30
Step-by-step explanation:
That means that there are 6 pie pieces in each pie so just multiply by 5
another thing we can do is get rid of 1/6 by multiplying by 6 which means we also have to multiply 5 by 6
00:00
A company loses $5,400 as the result of a manufacturing defect. The 8 owners of the company must share the loss equally.
Part A
Which expression shows the change in profit for each owner?
O A. -5,400 + 8
O B. -5,400 - 8
OC -5,400.8
OD. -5,400 + 8
Which expression explains how to split the debt
Answer:
None of them. The proper expression(s) to split the debt are:
5400 / 8
or
8x=5400
Which statement is true??
Augie has hit the baseball 75% of the time this year. How many times will he hit the ball if
he bats a total of 32 times?
I’m need some help please! :(
Answer:
24 times
Step-by-step explanation:
75% = 0.75, so then you just do 0.75 * 32 = 24
Answer:
For this question, multiply 75% or 0.75 with 32. The result would be 24. So, Augie has hit the baseball 24 times.
PLZ ANSWE ASAP ASAP ASAP LIKE RN ASAP PLZ PLZ
Answer: Kris's bike
Step-by-step explanation:
KRIS 297/4.5 = 66 gallons per mile
JAKE 366/6 = 61 gallons per mile
BEN = 265.2/5.2 = 52 gallons per mile
In the function y= 1/3x^2,
what effect does the number 1/3 have on the graph,
as compared to the graph of the function y= x^2
A. It stretches the graph horizontally by a factor of 3.
B. It shrinks the graph horizontally to 1/3 its original width.
C. It shrinks the graph vertically to 1/3 its original height.
D. It stretches the graph vertically by a factor of 3.
Suppose an object is launched from ground level directly upward at 57.4 f/s Write a function to represent the object’s height over time.
Answer: p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t
Step-by-step explanation:
We can suppose that the only force acting on the object is the gravitational force, then the acceleration of the object will be equal to the gravitational acceleration.
Then we can write:
a(t) = -32 ft/s^2
Where the negative sign is because this acceleration is downwards.
Now, to get the vertical velocity of the object, we need to integrate over time to get:
v(t) = (-32 ft/s^2)*t + v0
where t represents time in seconds and v0 is the constant of integration, and in this case, is the initial vertical velocity.
In this case, the initial velocity is 57.4 ft/s upwards, then the velocity equation is:
v(t) = (-32 ft/s^2)*t + 57.4 ft/s
To get the position equation we need to integrate over time again, to get:
p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t + p0
Where p0 is the initial height of the object, as it was launched from the ground, then the initial position is p0 = 0ft.
then the position equation (that is the function that represents the height of the object as a function over time) is:
p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t
p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t
What is the value of tan(60°)?
A
12
30°
B
60°
14
Answer:
the answer is 1.7320508076
Over what interval is f(x) negative? Justify your answer.
Answer in interval notation is (-3, 1)
This is the same as saying -3 < x < 1
=====================================================
Explanation:
Since y = f(x), this means we're looking for points on the red curve such that they have a negative y coordinate. Visually, we're looking for points that are below the horizontal x axis.
These points are shown in the diagram below. I've marked the section we're after in blue. This blue section spans from x = -3 to x = 1. We exclude both endpoints because each x value leads to f(x) = 0, but we want f(x) values smaller than zero.
The junior class sold 120 turkey dinner plates and 200 chicken dinner plates for a total of $2,150. The senior class sold 100 turkey plates and 300 chicken plates, raising $2,625. What was the cost of each turkey dinner plate? What is the cost of each chicken plate?
Answer:
Write the system of equations with 2 unknowns x and y denoting the prices of two types of chickens:
(1) 120x + 200y = 2150
(2) 100x + 300y = 2625
Solving the system of equations above we have 2 solutions:
x = 15/2 = $ 7.5 and y = 25/4 = $ 6.25
Step-by-step explanation:
Mr. Sampson wants to ship a birthday gift to his son in the navy. To meet shipping requirements at the Local U
Pack It We Ship it Store, the perimeter of the rectangular-shaped gift box must be less than 30 inches. Write
and graph an inequality to describe this situation.
X= length
Y= width
Answer:
Step-by-step explanation:
If length of the box = x
And width of the box = y
Then perimeter of the box = 2(length + width)
= 2(x + y)
Since, perimeter of the box is less than 30 inches.
2(x + y) < 30
x + y < 15
y < -x + 15
Since, this inequality has a sign of less than, line on the graph will be a dotted line.
y intercept of the dotted line y = 15 (by x = 0)
x intercept of the line x = 15 (by y = 0)
Constraints for the graph will be,
x > 0
y > 0
Now we can plot the dotted line by joining the x and y intercepts.
In this graph common region under the dotted line between x axis and y axis will be the solution area of the given inequality.
Ming and Daniel are selling cheese cakes for a school fundraiser. Customers can buy French silk cheesecakes and apple cheesecakes. Ming sold 6 French silk cheesecakes and 3 apple cheesecakes for a total of $114. Daniel sold 4 French silk cheesecakes and 5 apple cheesecakes for a total of $124. Find the cost of each of one French silk cheesecakes and one apple cheesecake.
On Friday, a local restaurant served 150 customers. Of these, 114
people ordered soup. What percent of the customers ordered soup?
A: 13%
B: 66%
C: 34%
D: 76%
