Find two integers whoes sum is -7 and whose product is 12. Explain how you found the numbers.
Which number sentence correctly solves this problem?
Jimmy gave $550 to his favorite charity. He had already given $492 to this charity. How much money did Jimmy give to this charity?
A.
550 + 492 = 942
B.
550 + 492 = 1,042
C.
550 - 492 = 58
D.
550 - 492 = 168
how many times longer is the baby alligator 3/4 ft than the baby 2/15ft
We need to find how much longer is the baby alligator compared to a baby.
The baby alligator is [tex]\dfrac{45}{8}[/tex] times longer than the baby.
The baby alligator is 3/4 ft long.
The baby is 2/15 ft long.
According to the question
[tex]\dfrac{3}{4}=\dfrac{2}{15}x[/tex]
The value of x will give us how many times is the baby alligator longer by
[tex]x=\dfrac{\dfrac{3}{4}}{\dfrac{2}{15}}\\\Rightarrow x=\dfrac{3\times 15}{4\times 2}\\\Rightarrow x=\dfrac{45}{8}[/tex]
So, the baby alligator is [tex]\dfrac{45}{8}[/tex] times longer than the baby.
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Fiona and her friends went to a smoothie shop. They ordered three strawberry smoothies and two protein shakes for a total of $24.00. Last week they ordered one strawberry smoothie and four protein shakes for a total of $25.50. The system that represents their purchases is below. x + 4y = 25.50 3x + 2y = 24.00 What is the price of a protein shake? $3.75 $4.50 $4.95 $5.25
Answer: Fourth option is correct.
Step-by-step explanation:
Since we have given that
[tex]x+4y=25.50------------------(1)\\\\3x+2y=24.00-----------------------(2)[/tex]
Here, x is the number of strawberry smoothies.
and y is the number of protein shakes.
So, using elimination method, we get that,
Multiplying 2 by eq(2), we get that
6x+4y=48---------------(3)
From eq(1) and (3), we have
[tex]x+4y=25.50\\\\6x+4y=48\\\\-----------------------------------\\\\-5x=-22.5\\\\x=\dfrac{22.5}{5}\\\\x=4.5[/tex]
Put the value of x in eq(1), we get that
[tex]4.50+4y=25.50\\\\4y=25.50-4.50\\\\4y=21\\\\y=\dfrac{21}{4}\\\\y=5.25[/tex]
Hence, the price of protein shake is $5.25.
Thus, Fourth option is correct.
Answer:
D. $5.25.........................
a grandmother is making clothes for her three granddaughters. She'll make a jacket and one other item for each granddaughter. The three other items will be exactly the same. A jacket takes 1 5/8 yards of fabric. She had 10 yards of material of. She's trying to figure out how much fabric she has for each of the three extra items. Write a number sentence to represent the situation of the total fabric use.
The required number to represent the situation is 67/24.
What is the ratio of two numbers?The ratio of two numbers a and b can be written as a : b = a/b.
The ratio of two quantities is the unit rate of one quantity with respect to the other.
Given that,
The cloth required for jacket is 1(⁵/₈) = 13/8 yards.
Then the remaining cloth for the three other items = 10 - 13/8 = 67/8 yards.
Now, the cloth for each of the items is calculated by taking the ratio as,
(67/8)/3
= 67/24
Hence, the yards of cloth available for each of the item is given as 67/24 yards.
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4a^-9
I don't know what this is
can I get some help
Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x) George reads 200 pages in 40 minutes. x g(x) 4 −8 4 10 4 28
Therefore, since the slope of f(x) is defined and g(x) has an undefined slope, the correct option is: d) The function f(x) has a larger slope.
To determine the slopes of the functions f(x) and g(x), we need to calculate the rate of change or the slope of each function.
The slope of a function represents how much the output (y-value) changes for a given change in the input (x-value).
For function f(x), the rate of change can be calculated as follows:
[tex]\[ \text{Slope of } f(x) = \frac{\text{Change in } y}{\text{Change in } x} = \frac{200 \text{ pages}}{40 \text{ minutes}} = 5 \text{ pages/minute} \][/tex]
Now, let's calculate the slope for function g(x) using the given data points:
[tex]\[ \text{Slope of } g(x) = \frac{\text{Change in } y}{\text{Change in } x} = \frac{28 - (-8)}{4 - 4} = \frac{36}{0} \][/tex]
As the denominator is zero, the slope for g(x) is undefined.
The cost of 16 oranges is $1. What is the cost of 4 dozen oranges?
The cost to make a coffee table is x dollars. The store sells the table for 60% more than how much it costs to make. What expression shows the selling price of the coffee table?
Each of the25 students in mr faces class sold 16 raffle tickets. If it each ticket cost $15 how much money did mr faces class raise
what is 95 divided by 5?
At 1 pm, there were 16 seagulls on the beach. At 3 pm, there were 40 seagulls. What is the constant rate of change?
This square has the hypotenuse of a right triangle as one of its sides.
The estimated value of the length of the hypotenuse is units. The estimated value of the area of the square is square units.
(Hint: The hypotenuse is the side opposite the right angle. To find the hypotenuse of a right triangle, use the Pythagorean Theorem, c2= a2 + b2.)
The question is about using the Pythagorean Theorem to calculate the length of the hypotenuse of a right triangle. It also asks how to calculate the area of a square when the hypotenuse of the right triangle is one of its sides. The hypotenuse's length would be useful to determine the square's area, as the square's area is calculated as the square of the length of one side.
Explanation:The subject of this question is Mathematics, and it is appropriate for a High School level student. The question is discussing a scenario where a square has the hypotenuse of a right triangle as one of its sides, and the student is asked to estimate the value of the length of the hypotenuse and calculate the area of the square.
To solve this problem, we will use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (let's call it 'c') is equal to the sum of the squares of the lengths of the other two sides (let's call them 'a' and 'b'). In other words, c² = a² + b². The length of the hypotenuse is the square root of this sum, √(a² + b²).
Since we aren't given specific lengths for the sides of the triangle, I cannot provide exact values. However, let's say that the length of the hypotenuse is 'd', then the area of the square, which is calculated as the length of one side squared (d²) would be equal to the given value.
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Muthu reads 20 pages of a book in a day. After 6 days, 2/5 of the book is still unread. How many pages are there in this book?
What are the expanded forms of the two factors in the equation?
76 × 18 = n
Choose exactly two answers that are correct.
A.
10 + 8
B.
71 + 5
C.
70 + 6
D.
10 × 8
Use this figure to find the value of ∠FOD
after school in friday,Lamar Walked to the corner Store and bought 2 candy bars for $0.97 each and a soda for $1.41.what was his total purchase
Word problem
Really need help with this, and by end of day today would be best
The total imports of petroleum ( in millions of barrels per day) in a given year is approximated by the polynomial 40x^3 -526x^2+2089x+6056, where x represents the number of years since 1975. The corresponding total of exports of petroleum is -x^3 +13x^2 +29x+189. Write a polynomial that represents how many more barrels per day were imported than exported in a given year.
Jacob is ordering custom T-shirts for his soccer team. Long-sleeved shirts cost $15 each and short-sleeved shirts cost $10 each. Jacob can spend at most $250 and he wants to order at least 20 shirts.
Let x represent the number of long-sleeved shirts. Let y represent the number of short-sleeved shirts. Which inequalities are among the constraints for this situation?
Select each correct answer.
x+y≤250
15x+10y≥250
x+y≥20
15x+10y≤250
15x+10y≥20
x+y≤20
The ticket price for the ice hockey match was £14.50. The price has increased by 7%.
How much is a ticket after the increase?
7% = 0.07
14.50 *1.07 = 15.52 new price
what does this expression represent 12f+24
Answer:
This is an algebraic expression which means that 12 multiplied by the value of a variable "f", plus 24 would give an integer.
Step-by-step explanation:
This expression can be solved when the value of f is known. Thus its solution is dependent on the known value of "f".
So, assuming the value of f is 2, then the answer would have been 48.
PLEASE HELP I WILL GIVE 99 POINTS Aida applied the distributive property to write the equivalent expressions below. 15 + 21 = 3(4 + 8) What is Aida’s error? Aida used 3 as the factor, which is not common to 15 and 21. Aida did not correctly divide by the common factor to get (4 + 8). Aida did not apply the correct operations to the expressions. Aida wrote two expressions that are not equivalent.
in Mr. Rodgersd' Social Studies class the stuents took a test. The scores on the test were: 95, 85, 75, 90, 70, 95, 85, 80, 75, 95, 70, 80, 65. What was the MEDIAN score for the class? A)80 B)81.6 C)85 D)95
Order the numbers from least to greatest.
95, 85, 75, 90, 70, 95, 85, 80, 75, 95, 70, 80, 65 becomes
65, 70, 70, 75, 75, 80, 80, 85, 85, 90, 95, 95, 95
The Median is the number in the middle:
80 is your answer
hope this helps
A store allows customers to fill their own bags of candy. Terri decides she only wants jelly beans and chocolate drops. Jelly beans sell for $0.90 per pound, and chocolate drops sell for $0.70 per pound. Terri’s bag weighs 5 pounds and it costs $4.10. How many pounds of jelly beans and chocolate drops did Terri buy?
A. 3 pounds of jelly beans; 2 pounds of chocolate drops
B. 2 pounds of jelly beans; 3 pounds of chocolate drops
C. 4 pounds of jelly beans; 1 pound of chocolate drops
D. 1 pound of jelly beans; 4 pounds of chocolate drops
I think it might be c
How many books does Matt have to sell to make $30 for the week?
Matt needs to sell approximately 28 books to make $30 for the week.
To find the number of books Matt needs to sell to make $30 for the week, we need to use the given information that Matt gets $6 for selling 9 books and $9 for selling 11 books.
Let's first find the amount of money Matt makes for each book:
For 9 books, Matt makes $6, so he makes $\frac{6}{9} = \frac{2}{3}$ dollars per book.
For 11 books, Matt makes $9, so he makes $\frac{9}{11}$ dollars per book.
Now, we can set up an equation to find the number of books Matt needs to sell to make $30:
2/3 x + 9/11 x=30
where (x) is the number of books Matt needs to sell.
Simplifying the equation, we get:
x = 28
Therefore, Matt needs to sell approximately 28 books to make $30 for the week. Since he cannot sell a fraction of a book, he would need to sell either 28 or 29 books to make $30.
What is the GCF of 28,56,and 84.
Also what is the GCF of 30,45, and 75.
The gcf for the numbers 28, 56 and 84 is 28
Since
28: 1, 2, 4, 7, 14, 28
56: 1, 2, 4, 7, 8, 14, 28, 56
84: 1,2,3,4,6,7,12,14,21,28,42,84
Since the biggest number they all have is 14 so the gcf is 14.
The gcf for the numbers 30, 45, and 75 is 15
30: 1,2,3,5,6,10,15,30
45: 1,3,5,9,15,45
75: 1,3,5,15,25,75
Since the biggest number they all have is 15 so the gcf is 15.
Hope this helped
A line has a slope of -2 and passes through the point (3, 1). What is the equation of this line in slope-intercept form?
Question 7 options:
y = -2x + 7
y = -2x + 5
y = 3x + 1
Write the equation of the line that passes through the points (1,4) and (5,8) in standard form. (Ax + By = C)
Question 8 options:
x + 4y = 1
5x + 8y = 4
-2x + y = 5
-x + y = 3
Answer:
b
Step-by-step explanation:
just did it
How would you convert 3x- 2y = -6 into a y= mx+ b equation.
How can area models be used to solve multiplication problems
Patti is using mental math to evaluate the expression (70+12.8+30)+6.1. She recognizes that the expression will be easier to simplify if she can combined 70 and 30 before she works with other numbers. How do the properties of operation allow pattie to take that approach?
Answer: Explanation is given below.
Step-by-step explanation: Given that Patti is using mental mathematics to evaluate the expression (70+12.8+30)+6.1 and recognises that it will be easier to simplify if she can combined 70 and 30 in the beginning. We are to explain the way in which the properties of operation allow Patti to take that approach.
We will be using the following associative property of real numbers:
[tex](a+b+c)+d=(a+c)+(b+d).[/tex]
Therefore, the simplification is as follows:
[tex](70+12.8+30)+6.1\\\\=(70+30)+(12.8+6.1)\\\\=100+18.9\\\\=118.9.[/tex]
Hence explained.
Answer:
She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1
( D )