Answer:
Answer: Osvoldo did not meet his goal.
Step-by-step explanation:
Total carbohydrate ate by Osvoldo = 220 g
carbohydrate from grains = 55 g
Percentage of carbohydrate of grain is
\begin{gathered}=\dfrac{\text { carbohydrate taken from grains}}{\text {Total carbohydrate}} \times 100\\\\= \dfrac{55}{220} \times 100= 25 \%\end{gathered}
=
Total carbohydrate
carbohydrate taken from grains
×100
=
220
55
×100=25%
Goal of getting carbohydrate from grains = at least 30%
but he ate only 25% of carbohydrate
Hence, Osvoldo did not meet his goal as he ate less carbohydrate than his goal.
Dan’s school is planning a field trip to an art museum. Bus company A charges a $60 rental fee plus $4 per student Bus company B charges $150 plus $2 per student. How many students would have to go for the cost to be the same?
Answer: 45 students
Step-by-step explanation:
Company A’s charge can be represented by: 4s+60
Company B’s charge can be represented by: 2s+150
s is the charge per student
To find the cost at which they are the same, I will set both equations equal to each other.
4s+60=2s+150
-2s -2s
2s+60=150
-60 -60
2s=90 Divide both sides by 2
s=45
So when 45 students are going, the cost for both companies are the same.
For any two integers a and b, (a + b)² = a² + b²
Answer:
wrong
Step-by-step explanation:
(a+b)^2=(a+b)(a+b)
=a(a+b)b(a+b)
=a^2+ab+ab+b^2
=a^2+2ab+b^2
i hope it helps you
A cupcake baker is baking and selling cupcakes to make money
His equation which shows profit (y) for selling cupcakes at price (x) in dollars
The equation is y= -200(x-3)² + 450
questions :
1, What profit would the baker make if he sold cupcakes for $5?
2, What price would maximize his profits? ( if negative it is a loss)
3, What would the maximum profit be?
Answer:
uhh precious why u stalkin me????
Step-by-step explanation:
Brittany will be working full time this summer to save for her goal of having 10,000 by the time she is 21. Brittany has an account of 3.5% interest, compounded monthly. She'll turn 17 at the end of the summer. About how much will Brittany have to deposit so that. Her money can grow into 10,00 by the time she's 21?
Answer:
$ 8,695.35
Step-by-step explanation:
This is a compound interest question
Amount after t years = A = P(1 + r/n)^nt
Where P = Initial Amount saved
r = interest rate
t = time in years
n = compounding frequency
A = 10,000
r = 3.5 %
t = 21 - 17 = 4 years
n = Compounded monthly = 12
Step 1
Converting R percent to r a decimal
r = R/100 = 3.5%/100 = 0.035 per year.
P = A / (1 + r/n)^nt
Solving our equation:
P = 10000 / ( 1 + (0.035/12)^12 ×4 =
P = $8,695.35
The principal investment required to get a total amount, principal plus interest, of $10,000.00 from interest compounded monthly at a rate of 3.5% per year for 4 years is $8,695.35.
A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Write and slove an equation to match the situation. :
Equation:________________________
Solution:____ liters of 5% and _____ liters of 40%
Answer:
Equation: X × 0.4 + (10 - X)×0.05 = 10 × 0.2
Solution: 5.71 liters of 5% and 4.29 liters 40%
Step-by-step explanation:
The volume of the 20% acid solution the scientist needs = 10 liters
The concentration of the solution she has = 5% and 40%
Therefore, we have;
X volume of the 40% solution is mixed with 10 - X volume of the 5% solution, to obtain 10 liters of the 20% solution
Therefore, we have;
Equation: X × 0.4 + (10 - X)×0.05 = 10 × 0.2
0.4·X + 0.5 - 0.05·X = 2
0.35·X = 2 - 0.5 = 1.5
X = 1.5/0.35 = 30/7
∴ The volume of the 40% solution = 30/7 liters ≈ 4.29 liters
The volume of the 5% solution = 10 - X = 10 - 30/7 = 40/7 liters ≈ 5.71 liters
Therefore, we have;
5.71 liters of 5% solution and 4.29 liters 40% solution.
Chris correctly measured the length of a line segment and his answer to the nearest centimeter. If the rounded measurement is 6cm, what would the most accurate statement about the actual measure of the line segment be?
Answer:
The most accurate statement is that the actual measure of the line segment is between 5.5 cm and 6.49 cm
Step-by-step explanation:
Here, given the measurement of the line segment rounded to the nearest cm as 6 cm, we want to give the most accurate statement about the actual measure
What we need here is the set of numbers which can be rounded to 6 cm
From 5.5 cm to 6.49 cm , all the measurements here can be rounded up to 6 cm
So the most accurate statement will be that the actual measure of the line segment is between 5.5 cm and 6.49 cm
The most accurate statement about the actual measure of the line segment be is between 5.56 to 6.49.
The measurement of the line segment rounded to the nearest cm as 6 cm, we need to give the most accurate statement.
What is a line segment?A line segment is a part of a line that connects two points which are distinct endpoints and contain every point on it.
From 5.56 cm to 6.49 cm, all the measurements here can be rounded up to 6 cm.
So, the most accurate statement will be the actual measure of the line segment between 5.56 cm and 6.49 cm.
Learn more about a line segment here:
https://brainly.com/question/25727583
A store sells two types of toys, A and B. One unit of toys A yields a profit
of $2, while a unit of toys B yields a profit of $3. The store owner, Anthony, estimates that no more than 2000 toys will be sold every month. Anthony pays $8 and $14 for each one of toy A and B respectively. He also does not plan to invest more that $25,000 in inventory of these toys. Identify the variables.
x = profit
y = toys
x = Toy A
y = Toy B
x = Toy A
y = profit
x = Toy B
y = Toy A
Answer:
Step-by-step explanation:
a b
Mira has breakfast at a restaurant. She leaves a 20% tip of $1.80.
What is the price of Mira's breakfast,before tip?
Answer: $9.00
.......................................
At the movies, Hunter bought 3 popcorn and 5 drinks. Each popcorn
costs $0.40 less than a drink. If he spent a total of $24.00, what was the
cost of each popcorn?
Step by step explanation pls!!!!
Answer:
P= $2.75
Step-by-step explanation:
So first we need to create our system of equations
since each popcorn is 0.40 less than each drink we can make the equation:
D - 0.40 = P we can rewrite that as P + 0.40 = D so that we have D by its self.
Next, we create the overall equation:
$24.00 = 3P + 5D
Now plug in D from the first equation into the second equation:
$24.00 = 3P + 5( P + 0.40)
Distribute the five and solve for P:
$24.00 = 3P + 5P + 2
$22.00 = 8P
P = $2.75
Now add 0.40 which would be $3.15 and plug it into the first equation just to make sure that the answer is correct.
What distance did the bus travel???
Answer:
495km
Step-by-step explanation:
180 km in 4 hours means x km in 11 hours.
Cross multiply and you'll find x as 495 km
Hi I need help please, ill give brainliest if your correct
−2(−4n + 1)+5(25n − 8)=−62.
Answer:
bet
Step-by-step explanation:
Answer:
n=-20/133
Step-by-step explanation:
Use the distributive property to multiply −2 by −4n+1.
8n−2+5(25n−8)=−62
Use the distributive property to multiply 5 by 25n−8.
8n−2+125n−40=−62
Combine 8n and 125n to get 133n.
133n−2−40=−62
Subtract 40 from −2 to get −42.
133n−42=−62
Add 42 to both sides.
133n=−62+42
Add −62 and 42 to get −20.
133n=−20
Divide both sides by 133.
n=-20/133
Fraction −20/133≈−0.15037594 can be rewritten as −20/133 ≈−0.15037594 by extracting the negative sign.
n=−20/133
Please answer I promise I will mark you brainiest
Answer:
1. A=907.92
2. A=113.1
3. A=37.5
P=35
4. A=234
P= 75.6
Step-by-step explanation:
Answer:
DID YOU REALLY NEED TO ASK THIS!!!!!!!!!!!!
Step-by-step explanation:
PLEASE HELP!!! 20 BRAINLIST
Look at points C and D on the graph:
A coordinate plane graph is shown. Point C is at negative 5 comma negative 1. Point D is at 0 comma 3. A segment connects the two points.
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
5.50 units
6.40 units
9.00 units
41.00 units
Answer:
Im pretty sure its 6.40 units
Step-by-step explanation:
What is the slope of a line that
contains the points (4, 3) and (-1, -4)?
Answer:
I believe its -7/5 unless they want -7/-5
Step-by-step explanation:
(4,3) (-1,-4)
X1,y1 x2,y2
And it should be
Y2-y1
X2-x1
-4-3 = -7
Over
-1-4 = -5
So -7/5 or -7/-5 whatever your teacher perfers
Hope this helps
Explain why the slope of line is 26.
Answer:
Your question is lacking some details.
However, slope is determined by rise over run. You can get the rise by subtracting the change in y-values (coordinates) and the rise by subtracting the change in x-values (coordinates) .
Having 26 as slope means that the slope has gone up 26 units in the coordinate plane then 1 unit to the right.
Step-by-step explanation:
Step 3: 2x > 10 Step 4: x > 5 What property justifies the work between step 3 and step 4? A. division property of inequality B. inverse property of multiplication C. subtraction property of inequality D. transitive property of inequality
Answer:
A. Division property of inequality.
Step-by-step explanation:
Let be [tex]2\cdot x > 10[/tex], we proceed to show the appropriate procedure to step 4:
1) [tex]2\cdot x >10[/tex] Given
2) [tex]x > 5[/tex] Compatibility with multiplication/Existence of multiplicative inverse/Associative property/Modulative property/Result. (Division property of inequality)
In consequence, the division property of inequality which states that:
[tex]\forall\, a, b, c \in \mathbb{R}[/tex]. If [tex]c > 0[/tex], then:
[tex]a> b\,\longrightarrow a\cdot c > b\cdot c \,\lor\, a<b \longrightarrow a\cdot c < b\cdot c[/tex]
But if [tex]c < 0[/tex], then:
[tex]a> b\,\longrightarrow a\cdot c < b\cdot c \,\lor\, a<b \longrightarrow a\cdot c > b\cdot c[/tex]
Hence, correct answer is A.
On Monday, Jill used 12 quart of paint in 34 hour. On Tuesday, Jill was distracted by texting and used 12 quart of paint in 54 hour. What is the difference in her usage rates in quarts per hour?
A.14
B.23
C.415
D.1615
Answer:
(1/2) qt/(3/4) hr = (1/2)*(4/3) qt/hr = (2/3) qt/hr
The rule for division of fractions is: invert the denominator and multiply.
The soccer field at a park is 9,000 square yards. The soccer field takes up 6 2/5 square inches on the map of the park. How many square yards does 1 square inch on the map represent? Show your work. Help me pls
Answer: 1406.25
Step-by-step explanation:
The soccer field at a park is 9,000 square yards. The soccer field takes up 6 2/5 square inches on the map of the park. How many square yards does 1 square inch on the map represent? Show your work. Help me pls
Given that:
Area of soccer field = 9000 sq yards
Soccer field takes up 6 2/5 square inches on the map of park
Hence,
9000 yd² = 6 2/5 in²
Let 1 in² on map = m
9000 yd² = 32/5 in² - - - (1)
m = 1 in² - - - (2)
Cross multiply ;
6.4 * m = 9000
m = 9000/6.4
m = 1406.25
Hence,
1 in² on map = 1406.25 feet²
900
I will give 15 points please help!
Answer:
b
Step-by-step explanation:
Factor and Solve.
x^4-11x^2+18=0
Last option is the correct answer
x= √2, −√2, 3, −3
Find the gradient of the straight line joining A(-4, -1) to B(4, 2)
Answer:
The slope of the line is [tex]\frac{3}{8}[/tex]
Step-by-step explanation:
Given parameters:
A(-4, -1) to B(4, 2)
Unknown:
The slope of the line joining the two points
Solution:
To find the slope of the line; we use the expression below:
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} -x_{1} }[/tex]
x₁ = -4
y₁ = -1
x₂ = 4
y₂ = 2
Input the parameters and solve;
Slope = [tex]\frac{2 -(-1)}{4-(-4)}[/tex]
Slope = [tex]\frac{3}{8}[/tex]
The slope of the line is [tex]\frac{3}{8}[/tex]
PLEASE ANSWER!
Using the given zero, find one other zero of f(x).
4 - 5i is a zero of f(x).= x4 - 8x3 + 42x2 - 8x + 41.
answers
A)-4 - 5
B)1
C)1-1
D)4 + 5i
PLEASE HELP ME ITS URGNT The sum of two consecutive integers is 173. What number is the greatest of the two consecutive integers?
Answer:
Let x=the smaller integer.
Let x+1+ the larger integer.
x+(x+1)=173
(x+x)+1=173
2x+1=173
2x+1-1=173-1 (substract 1 from both sides)
2x=172 (divide 2 to both sides)
2x/2=172/2
x=86
x+1=87
Step-by-step explanation:
What is the first step to solve for n
in the following equation?
3n - 7 = 30
Answer:
n = 37/3
n = 12 1/3
Step-by-step explanation:
Hi there !
3n - 7 = 30
3n = 30 + 7
3n = 37
n = 37/3
n = 12 1/3
Good luck !
what is the answer to 8-5x=-37
Answer:
x=9
Step-by-step explanation:
Subtract 8 from both sides.
−5x=−37−8
Subtract 8 from −37 to get −45.
−5x=−45
Divide both sides by −5.
x= -45/-5
Divide −45 by −5 to get 9.
x=9
Answer:
9
Step-by-step explanation:
Step 1:
8 - 5x = - 37 Equation
Step 2:
8 = - 37 + 5x Add 5x on both sides
Step 3:
45 = 5x Add 37 on both sides
Step 4:
x = 45 ÷ 5 Divide
Answer:
x = 9
Hope This Helps :)
what is the missing term?
1. (x+2)^2 = __ +4x+4
2. (2x-3)^2 = 4x^2+__+9y^2
3. (3x+4)^2 = 9x^2 + 24x+__
4. (x-y)^2= __-2xy+y^2
5. (2x+3y)^2 = 4x^2+__+9y^2
Answer:
see explanation
Step-by-step explanation:
The general expansion of (a + b)² is
(a + b)² = a² + 2ab + b²
Applying this to the following expansions
(1)
(x + 2)² = x² + 2(2x) + 2² = x² + 4x + 4 ← missing term is x²
(2)
(2x - 3)² = (2x)² + 2(2x)(- 3) + 3² = 4x² - 12x +9 ← missing term is - 12x
(3)
(3x + 4)² = (3x)² + 2(3x)(4) + 4² = 9x² + 24x + 16 ← missing term is 16
(4)
(x - y)² = x² + 2(x)(- y) + y² = x² - 2xy + y² ← missing term is x²
(5)
(2x + 3y)² = (2x)² + 2(2x)(3y) + (3y)² = 4x² + 12xy + 9y² ← missing term is + 12xy
***NOTE YOU GET 37 POINTS FOR ANSWERING QUESTION * A gallon of fresh squeezed orange juice at Piggly Wiggly Supermarket costs $2.70. Below are the costs of orange juice at other supermarkets. Which of the following has the same unit rate for orange juice as Piggly Wiggly? Select all that apply.
❏ Supermarket A: 2 gallons of orange juice for $5.40.
❏ Supermarket B: 2.25 gallons of orange juice for $6.30.
❏ Supermarket C: 1.25 gallons of orange juice for $3.38.
❏ Supermarket D: 1.5 gallons of orange juice for $4.43.
❏ Supermarket E: 0.75 gallons of orange juice for $2.03.
Answer:
the answers would be: A, C, and E
Step-by-step explanation:
Answer:
A,C,E Are the answers
Step-by-step explanation:
Its a,c,e because 5.40 divided by 2 gallons is 2.70. Its C because 3.38 divided by 1.25 gallons is 2.70. Its E because 2.03 divided by 0.75 is 2.70.
At a local car wash Josh can vacuum 3 cars in 17 minutes. How many cars can he vacuum in an hour?
Answer:
10 cars
Step-by-step explanation:
he can vacuum 3 cars in 17 minutes
so in 1 hour its (60/17) x 3
Or you can do 17/3 for how long it takes to clean 1 car
then divide 60 by that number, you round down for both since you don't complete the car if its a decimal
Which of the following quadratic equations has no real solutions?
A 3x2 + 12x + 12 = 0
B 3x2 – 3x - 18 = 0
3x2 + 2x + 1 = 0
D
3x2 – 3 = 0
Answer:
C. 3x^2 + 2x + 1
Step-by-step explanation:
A. 12^2 - (4*3*12) = 0 (there's one solution.)
B. (-3)^2 - (4*3*-18) = 255 (there're 2 real solutions.)
D. 3^2 - (4*0*-3) = 9 (there're 2 real solutions.)
C. 2^2 - (4*3*1) = -18 ✅✅
if b^2 - 4ac = negative then we can say that there isn't any real solution for the equation.