Answer:
11/4
Step-by-step explanation:
Do these rates form a proportion?
21 miles in 6hours and 14.3 miles in 3 hours
Answer:
These rates DO NOT form a proportion.
Step-by-step explanation:
Two quantities P and Q are said to be in proportion is and only if:
[tex]\frac{P}{Q} = k[/tex] for all values of P and Q.
here, k = Proportionality Constant.
Case 1: when P = 21 miles , Q = 6 hours
[tex]\frac{P}{Q} = \frac{21}{6} = 3.5[/tex]
⇒ k 1 = 3.5
Case 2: when P = 14.3 miles , Q = 3 hours
[tex]\frac{P}{Q} = \frac{14.3}{3} = 4.76[/tex]
⇒ k 2 = 4.76
As we can see in both the cases, k 1 ≠ k 2
Hence, P is NOT PROPORTIONAL to Q.
So, these rates DO NOT form a proportion.
A shelf contains 28 boxes of cereal. Each box has a mass of 375 grams.
Which equation can you use to find the total mass of the boxes?
What is the total mass, m, in grams of all the boxes?
A.28 + 375 = m; m = 403 grams
B.28 x 375 = m; m = 1,050 grams
C.28 x 375 = m; m = 10,500 grams
D.28 x 375 =m; m = 11,500 grams
Answer:
Step-by-step explanation:
each box is 375 grams...and there are 28 boxes
total mass(m) = 28 * 375 = 10,500 grams
The weight of all the boxes of cereals can be found by the equation (C) "28 x 375 = m" and the weight is 10,500 grams.
What are equations?Two expressions are combined by the equal sign to form a mathematical statement known as an equation. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.So, the total mass of all the boxes:
The number of boxes is 28.Each box weighs 375 grams.Then, calculate as follows:
375 × 28 = m375 × 28 = 10,500 gramsSo, option (C) is correct.
Therefore, the weight of all the boxes of cereals can be found by the equation (C) "28 x 375 = m" and the weight is 10,500 grams.
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Convert 6 4/5 into an improper fraction
Answer:
34/5
Step-by-step explanation:
6*5=30 + 4 = 34
34/5
The mixed number 6 4/5 can be converted into an improper fraction by multiplying the whole part by the denominator and adding the numerator to the result, giving us 34/5.
Explanation:To convert the mixed number 6 4/5 into an improper fraction, you follow these steps:
Multiply the whole part of the mixed number (which is 6 in this case) by the denominator of the fractional part (which is 5).Add the result to the numerator of the fractional part (which is 4). This is your new numerator.The denominator of the improper fraction remains the same as the denominator of the fractional part in the mixed number.
So, (6*5)+ 4 = 34. Therefore, the mixed number 6 4/5 can be written as the improper fraction 34/5.
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a bookstore employee is given a 20% discount off the retail price of any book. assuming there is no tax, how many dollars does she pay for a book with a retail price of $55?
Answer:
= $ 49.5
Step-by-step explanation:
We are given;
Discount off retail price is 20%Retail price is $55Required to determine the amount paid
Taking the retail price as 100%
Then, amount paid will be (100 % - 10%) 90% of the retail price
Therefore;
Amount paid = 90% × $ 55
= 0.9 × $ 55
= $ 49.5
Thus, the employee paid $ 49.5 for the book.
A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. Two marbles are chosen from the bag. What expression would give the probability that one marble is yellow and the other marble is red?
Answer:
The second choice
Step-by-step explanation:
Answer:
Step-by-step explanation:
0.971
This is the correct answer.
An index has a length of 7 cm and width of 4 cm. What it’s perimeter?
Answer:
22
Step-by-step explanation:
7+7+4+4=22
Is 1/4 and 3/12 equal
1/4=.25
3/12=.25
yes they are equal
2 3/4+3 5/8 simplified
[tex]2\frac{3}{4}+3 \frac{5}{8}=6\frac{3}{8}[/tex]
Solution:
Given expression is [tex]2\frac{3}{4}+3 \frac{5}{8}[/tex].
To simplify the expression [tex]2\frac{3}{4}+3 \frac{5}{8}.[/tex]
Let us first convert the mixed fraction into improper fraction.
[tex]2\frac{3}{4}+3 \frac{5}{8}=\frac{(2\times 4) + 3}{4}+ \frac{(3 \times 8)+5}{8}[/tex]
[tex]=\frac{8+ 3}{4}+ \frac{24+5}{8}[/tex]
[tex]=\frac{11}{4}+ \frac{29}{8}[/tex]
Take LCM for the denominators (LCM of 4, 8 = 8) and make the same.
[tex]=\frac{11\times2}{4\times 2}+ \frac{29\times1}{8\times1}[/tex]
[tex]=\frac{22}{8}+ \frac{29}{8}[/tex]
[tex]=\frac{51}{8}[/tex]
Now, divide 51 by 8 and again write it in the mixed fraction.
[tex]=6\frac{3}{8}[/tex]
[tex]2\frac{3}{4}+3 \frac{5}{8}=6\frac{3}{8}[/tex]
Hence, the simplified answer is [tex]6\frac{3}{8}[/tex].
what is the solution of |-1 + x| = 5
Answer:
6, -4
Step-by-step explanation:
abs(-1+x)=5
-1+x=5 and -1+x=-5
-------------------------
-1+x=5
x=5-(-1)=5+1=6
-------------------
-1+x=-5
x=-5-(-1)=-5+1=-4
How do I find the area
Answer:
73.12 yd²
Step-by-step explanation:
Find the triangle first
A=½bh
a=½×12×8
a=6×8
a=48->triangle
semicircle=
a=½×pi×r²
a=½×3.14×4²
a=½×3.14×16
a=8×3.14
a=25.12
add these two
48+25.12=73.12 yd²
NEED HELP PLEASE!
Fill in the blank with the correct response. If 3/4 = x/8, then x is equal to.
THANKS!
answer x = 8
because 3/4 times 2 equals 6/8 so the solution is 6/8
Y=1/3x-4; y=7/3x+4 solve by substitution
Answer Problem 1: 3*(y+4)
Show Work:
1) y = (1/3)*x-4 // - (1/3)*x-4
2) y-((1/3)*x)+4 = 0
3) (-1/3)*x+y+4 = 0
4) y-1/3*x+4 = 0 // - y+4
5) -1/3*x = -(y+4) // : -1/3
6) x = (-(y+4))/(-1/3)
7) x = 3*(y+4)
8) x = 3*(y+4)
Answer Problem 2: Y=-7/12
Show Work:
Step 1: Flip the equation.
7/3 x+4=y
Step 2: Add -4 to both sides.
7/3x+4+−4=y+−4
7/3x=y−4
Step 3: Divide both sides by 7/3.
Divide 7.956 . 10-6 by 2.55 - 10-3
Answer: 3.12 x 10^-3
Step-by-step explanation:
Darcy harvest 8 3/4 acres of corn every 5/6 of an hour. How many acres per hour?
Answer:
The answer is [tex]10\frac{1}{2}\ per\ hour.[/tex]
Step-by-step explanation:
Given:
Darcy harvest 8 3/4 acres of corn every 5/6 of an hour.
Now, to find the acres per hour it takes to harvest.
Darcy harvest = [tex]8\frac{3}{4}=\frac{35}{4}\ acres.[/tex]
The time he took to harvest = [tex]\frac{5}{6}\ hour.[/tex]
So, to get the acres per hour we put formula:
[tex]Distance = \frac{35}{4}\ acres.[/tex]
[tex]Time=\frac{5}{6}\ hour.[/tex]
[tex]Speed=\frac{distance}{time}[/tex]
[tex]Speed=\frac{\frac{35}{4}}{\frac{5}{6}}[/tex]
[tex]Speed=\frac{35}{4}\times \frac{6}{5}[/tex]
[tex]Speed=\frac{210}{20}[/tex]
[tex]Speed=\frac{21}{2}[/tex]
[tex]Speed=10\frac{1}{2}\ per\ hour.[/tex]
Therefore, the answer is [tex]10\frac{1}{2}\ per\ hour.[/tex]
Mariko says that the graph that passes through (-3,-3), (-3,0), and (-3,3) represents a
linear function. Is she correct? Explain your reasoning.
Answer:
The graph that passes through (-3,-3), (-3,0), and (-3,3) does not represents a linear function.
Step-by-step explanation:
The graph that passes through (-3,-3), (-3,0), and (-3,3) does not represents a linear function. Because if we tried to find the slope for either two pairs of these coordinates. The slope would equal infinity
Lets say we find the slope of (-3,-3) and (-3,0)
[tex]\frac{-3-0}{(-3)-(-3)} =\frac{-3}{0}[/tex] Slope = [tex]\infty}[/tex]
Now lets say we find the slope of (-3,0) and (-3,3)
[tex]\frac{0-3}{(-3)-(-3)} =\frac{-3}{0}[/tex] Slope = [tex]\infty[/tex]
So now we can see that both lines of each slope is parallel to the y-axis which means that the lines a Undefined Slope (also known as Infinite Slope).
I need answer for this
The perimeter of the garden is 57.14 m and
the total area of the garden is 178.28 sq. m.
Solution:
Given length of the rectangle = 16 m
Width of the rectangle = 8 m
Radius of the semi-circle = half of the width of the rectangle
Radius = 4 cm
Perimeter of the garden is two lengths of the rectangle and 2 curve sides of the semi-circle.
Perimeter = [tex]2l+2(\frac{2\pi r}{2} )[/tex]
= [tex]2l+2\pi r[/tex]
= [tex]2(16)+2\times\frac{22}{7}\times4[/tex]
= 32 + 25.14
= 57.14 m
Total area of the garden is the area of the rectangle and area of the two semi-circles.
Area of the garden = [tex](l\times w)+ 2(\frac{\pi r^2}{2})[/tex]
= [tex](l\times w)+ \pi r^2[/tex]
= [tex]16\times8+\frac{22}{7} \times 4\times 4[/tex]
= 128 + 50.28
= 178.28 square meter
Hence, the perimeter of the garden is 57.14 m and
the total area of the garden is 178.28 sq. m.
Let u = <-3,4>, v = <8, 2>. Find u + v.
=================================================
Explanation:
In general if
u = < a, b > and v = < c, d >
then,
u+v = < a+c, b+d >
Basically we add the x coordinates separately and the y coordinates are added separately.
----------
So,
u = < -3, 4 >
v = < 8, 2 >
u + v = < -3+8, 4+2 >
u + v = < 5, 6 >
the rent is 7.50
write an algebra expression to represent the cost to rent a luxury car for x days
Answer:
Step-by-step explanation:
Rent cost 7.50
For x days the rent to pay = 7.50×n
= 7.50n
(2x^3-3x^2-19x+30)/(x-3)
Answer:
2x^3 + 3x - 10
Step-by-step explanation:
I need help with my ixl problem please help as soon as possible and tell me what the blanks are pls
How to solve the word problem The ant walked 53 cm. The caterpillar crawled 22 cm farther than the ant. How far did the caterpillar crawl?
If the caterpillar crawled 22cm farther than the ant, then we are adding 53 and 22 to get 75cm.
Answer:
75cm
Step-by-step explanation:
53 + 22 = 75
Which is NOT a factor affecting your Credit Score? Question 1 options: A.Types of Credit B. Salary C.Payment History D.Length of Credit History
Answer:
B salary
Step-by-step explanation:
Your employment status, salary, and bank account balances are never disclosed on your report and have no bearing on your rating.
What impact of Salary on Credit Score?Although your income has no bearing on your credit score, it's still crucial to understand the five key components of a FICO credit score, the most widely used credit score by lenders.
History of payments (35%): Your credit score is mostly influenced by whether you have a history of making on-time payments on your credit accounts.
Your salary does not directly affect your credit score, but it does affect your ability to pay off credit card debt.
Therefore, Your race, gender, marital status, level of education, religion, political party, or source of income are all factors that are never taken into account when calculating your credit ratings.
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Mr.quick bought a new computer system.Regular price was 1580,but he got a 15% discount how much did he pay
Answer:
$1343
Step-by-step explanation:
After subtracting 15% from 100% of the original price, the price Mr. Quick paid is 85% of the original price.
0.85 × 1580 = 1343
Mr. Quick paid 1343 for his computer.
Trapezoid JKLM is is shown below. What is the length in centimeters, of KL
The complete question is:
Trapezoid JKLM is shown below.
What is the length, in centimeters, of KL ?
A. 12 cm
B. 10 cm
C. 9 cm
D. 6 cm
The mentioned figure is attached.
Answer:
[tex]\large\boxed{option\text{ B. }(\overline{KL})=10cm}[/tex]
Explanation:
1. KL is the hypotenuse of a right triangle; hence, you can use Pythagora's theorem to find its length.
2. The height 8 cm is one leg of the right triangle.
3. The other leg may be found by difference:
[tex]\overline{ML} -\overline{JK}=15cm-9cm=6cm[/tex]
4. Now you can use Pythagora's theorem:
[tex]hypotenuse^2=(leg_1)^2+(leg_2)^2\\ \\ (\overline{KL})^2=(8cm)^2+(6cm)^2\\ \\ (\overline{KL})^2=64cm^2+36cm^2=100cm^2\\ \\ (\overline{KL})=10cm[/tex]
Find the equation of the line that passes through the point (-1, 2) and that has a
slope of 4.
Oy=2x-1
Oy=-1*+6
Oy= 4x+6
Oy=12-1
Answer:
y = 4x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4, thus
y = 4x + c ← is the partial equation
To find c substitute (- 1, 2) into the partial equation
2 = - 4 + c ⇒ c = 2 + 4 = 6
y = 4x + 6 ← equation of line
Jesus spent 1/4 of his money on a pizza and 1/4 of his money on salad. What fraction of his money did Jesus spend on dinner?
Answer:
2/4 of his money was spent on dinner
Step-by-step explanation:
Answer:
2/4 or 1/2 of his money of dinner
Step-by-step explanation:
When using your brain you come to the conclusion that the pizza and the salad is his dinner because it is food, so we add those two fractions together to get 2 out of 4 or 1 out of 2.
Solve the 2 step equation 3x+3=15
Subtract the entire equation by 3: 3x = 12
Lastly, divide by 3 to get x alone: x = 4
Answer: 4
Step-by-step explanation:
3x+3=15
-3 -3
3x 12
3 3
x= 4
A 5000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $149 comma 600?
Answer:
3,600 from $26 tickets and 1,400 from $40 tickets.
Step-by-step explanation:
Let x = number of $26 tickets and y= number of $40 tickets
x + y = 5000 ⇒ x = 5000 - y
26x + 40y = 149,600
26(5000 - y) + 40y = 149600
130,000 - 26y + 40y = 149600
14y = 19600
y = 19600/14 = 1,400
x = 5000 - 1400 = 3,600
So, 3,600 from $26 tickets and 1,400 from $40 tickets.
To determine the number of tickets sold at each price, set up a system of equations using the given information and solve for the variables.
Explanation:To determine how many tickets should be sold at each price, we can set up a system of equations using the given information.
Let's assume the number of $26 tickets sold is x and the number of $40 tickets sold is y.
The total number of tickets sold is x + y, so we have the equation x + y = 5000.
The revenue generated from $26 tickets is 26x, and the revenue generated from $40 tickets is 40y. The total revenue
is given as $149,600, so we have the equation 26x + 40y = 149600.
Solving this system of equations will give us the values of x and y.
A used car is for sale for $24,000. Jared took a chance and offered the owner 1/4 of the selling price. How much did Jared offer?
Answer:
Jared offer $6,000.
Step-by-step explanation:
Given:
A used car is for sale for $24,000. Jared took a chance and offered the owner 1/4 of the selling price.
Now, to find the price Jared offer.
Selling price = $24,000.
Jared offer = [tex]\frac{1}{4}[/tex] of selling price.
So, to get the price Jared offer:
[tex]\frac{1}{4}\ of\ \$24000[/tex]
[tex]=\frac{1}{4} \times 24000[/tex]
[tex]=\frac{24000}{4}[/tex]
[tex]=\$6000.[/tex]
Therefore, Jared offer $6,000.
Hardy is packing his book collection into a box. Each book measures 4in by 6in by 1 inch. The box he uses measures 24in by 24in by 8 inches.
1. If Hardy fills the box completely, what is the greatest number of books that fit into the box?
2. If Hardy fills the box completely with the least number of layers, there will be (blank) books on the bottom layer.
3. To fill the box completely, Hardy places 8 layers of books in the box. There are (blank) books in each layer.
Thank you so much for help! Just a mom who hates volume trying to help her kid with volume.
Answer:
1. 192 books.
2. 96 books.
3. 24 books.
Step-by-step explanation:
1. Let's find the volume of each book and the volume of the box, this way:
Volume of a book = 4 * 6 * 1 = 24 inches ³
Volume of the box = 24 * 24 * 8 = 4,608 inches ³
2. If Hardy fills the box completely, what is the greatest number of books that fit into the box?
Greatest number of books = Volume of the box/Volume of a book
Greatest number of books = 4,608/24
Greatest number of books = 192
3. If Hardy fills the box completely with the least number of layers, there will be (blank) books on the bottom layer.
The height of the box is 8 inches, so it can only can hold 2 or 8 layers of books, since the books are 4 * 6 * 1 inches.
Greatest number of layers = Height of the box/Width of a book
Greatest number of layers = 8/1 = 8
Minimum number of layers = Height of the box/Height of a book
Minimum number of layers = 8/4 = 2
Upon saying that, we have:
Number of books per layer = Greatest number of books/Minimum number of layers
Number of books per layer = 192/2 = 96
4. To fill the box completely, Hardy places 8 layers of books in the box. There are (blank) books in each layer.
Number of books per layer = Greatest number of books/Number of layers
Number of books per layer = 192/8
Number of books per layer = 24