Two consecutive integers are - 7 and - 8.
Here,
We have to find the two consecutive integers.
What are Integers?
An integer is a number which includes negative and positive numbers, including zero.
Now,
Let the smaller number is x.
Then, the larger is nine more than twice the smaller.
So, Larger number = 2x + 9
Since, The difference of two consecutive number are always 1.
So,
2x + 9 - x = 1
x + 9 = 1
x = -8
Therefore, The larger number = 2x + 9 = 2*-8 + 9 = -16 + 9 = -7
Hence,
Two consecutive integers are - 7 and - 8.
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what is the product of gcf and another sum of 48+14
The dashed triangle is the image of the pre-image solid triangle.
What is the scale factor used to create the dilation?
see the attached figure with letters to better understand the problem
we know that
the scale factor is equal to
[tex]scale\ factor=\frac{A'B'}{AB}[/tex] or [tex]scale\ factor=\frac{B'C'}{BC}[/tex]
we have
[tex]A'B'=8\ units \\AB=2\ units[/tex]
substitute in the formula
[tex]scale\ factor=\frac{8}{2}[/tex]
[tex]scale\ factor=4[/tex]
therefore
the answer is
the scale factor is equal to [tex]4[/tex]
On a certain spring day with 12 hours of daylight, the light intensity I takes on its largest value of 610 calories/cm^2 at midday. If t = 0 corresponds to sunrise, find a formula I = a sin bt, where t is in hours and a is in calories/cm2, that fits this information.
There were 10 horses are involved in this year’s preakness stakes. suppose you are betting to correctly pick top three finishers. from this information alone, what would be your odds of winning?
A baseball team played 177 complete games last season. They had 33 fewer wins than losses. How many games did the team win
3⁄7 + 2⁄3 + 3⁄6 whats is it !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
When two probabilities are multiplied, the probability represents a compound event
Sarah mailed her computer to Store B for repairs. Her bill was:
Initial Repair Cost = $1,350
Sales Tax of 7 percent = $94.50
Total Cost of Computer Repair = $1,444.50
Shipping = 2 percent of Total Cost = $ _______
What is the cost to ship this computer from Store B?
ASAP
Answer:
0.02($1,444.50)
Step-by-step explanation:
hope it helped i got it right
The required cost to ship her computer from store B is $28.89.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of a hundred.
We have been given that Sarah mailed her computer to Store B for repairs. Her bill was:
Initial Repair Cost = $1,350
Sales Tax of 7 percent = $94.50
Total Cost of Computer Repair = $1,444.50
We have to determine 2% of the total Cost of Computer Repair which is 1,444.50.
Shipping cost = 2% of 1,444.50
Convert percent into the fraction form,
Shipping cost = 2/100 × 1,444.50
convert the fraction into decimal form to get
Shipping cost = 0.02 × 1,444.50
Apply the multiplication operation, and we get
Shipping cost = $28.89
Therefore, the required cost to ship her computer from store B is $28.89.
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What is 403.608 in words
Identify which shapes are similar to shape A and which are not.
To determine which shapes are similar to shape A, we must evaluate the pattern, repetition, and geometrical structure, while understanding the differences in geometrical and organic forms.
Explanation:When identifying shapes similar to shape A, we must look at the pattern and repetition of the figures while noting the differences. Shapes that are similar will have proportionally equivalent angles and sides, despite potential differences in size. We analyze the given shapes by comparing their properties such as angles, sides, and overall geometrical structure.
In a more complex composition, identifying positive and negative shapes can be challenging due to the presence of implied shapes that are created by the arrangement of other shapes or colors around them. Therefore, an in-depth inspection is needed to determine similarity.
Lastly, it is necessary to understand that shapes can be geometric, like circles and squares, or organic, which are more freeform and less regular. When comparing shapes to shape A, recall that similar shapes must relate in the ways mentioned, despite their geometric or organic nature.
A display of gift boxes has 1 box in the top row. 3 boxes in the next row, 5 boxes in the next row, and so on. there are 7 rows in all. how many gift boxes are in the display?
33-6(1 1/3+ 2/3)= ? what does it equal?
To solve the expression 33-6(1 1/3+ 2/3), first simplify the expression within the parentheses with the Order of Operations. Then, perform the multiplication. Finally, subtract the result from the initial value of 33.
To solve the expression 33-6(1 1/3+ 2/3), we need to follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
First, we simplify the expression within the parentheses:
1 1/3 + 2/3 = 2.
Next, we perform the multiplication: 6 * 2 = 12. Finally, we subtract the result from 33: 33 - 12 = 21.
Therefore, the expression 33-6(1 1/3+ 2/3) equals 21.
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solve for the indicated variable. p=×+y+z for y
The formula for glue says to add 60 mL of hardener to each container of resin. How much hardener should be added to 19 containers of resin? answer in liters
To find out how much hardener should be added to 19 containers of resin, multiply 60 mL by 19 and then divide the result by 1000 to convert mL to liters. The answer is 1.14 liters.
Explanation:To find out how much hardener should be added to 19 containers of resin, we can use the given formula of adding 60 mL of hardener to each container of resin. Since we have 19 containers, we can multiply 60 mL by 19 to get the total amount of hardener needed.
60 mL × 19 = 1140 mL
To convert mL to liters, we need to divide the amount in mL by 1000. Therefore, the answer is:
1140 mL ÷ 1000 = 1.14 liters
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You have 24 feet of fence to make a rectangular garden. Each side will measure a whole number of feet. How many different-sized rectangular gardens can you make?
gragh h(t) = 400 − 39t − 157e−t/4
if one out of every 12 students at a school share a locker,how many share a locker in a school of 456 students?
1 out of 12 can be written as 1/12
now multiply 456 by 1/2
this is the same as dividing 456 by 12
456/12 = 38 students share a locker
The ratio of the number of fiction books to the number of reference books in a library is 9:5. What is the fraction of the books are reference books?
How to get the answer
sqrt(16) = 4
sqrt4 = 2
2^2 = 4
so now you have 4-6(4)/2
6*4 =24
4-24 = -20
-20/2 = -10
Monique says the model shows 7/100. Do you agree? Explain.
To find the number of miles in 100 kilometers
find the average for the following group of numbers 85, 92, 84,85,96,95
What is the value of b?
A 76
B 106
C 120
D 224
Answer:
The correct option is C. 120°
Step-by-step explanation:
For better explanation of the answer see the attached figure :
Since, Angle formed at the center is equal to the angle measure of its opposite arc
⇒ ∠AOD = 104°
Also, The angle formed in the segment is half the angle formed at the center of the circle
⇒ ∠DOB = 2 × ∠BAD
⇒ ∠DOB = 2 × 68°
⇒ ∠DOB = 136°
Now, ∠AOB = 360 - ∠BOD + ∠AOD
⇒ ∠AOB = 360 - 136 - 104
⇒ ∠AOB = 120°
Now, Angle formed at the center is equal to the angle measure of its opposite arc
⇒ b = ∠AOB
⇒ b = 101°
Hence, the correct option is C. 120°
in 2009 there were three times as many millionares in kentucky as there were in rhode island. Together, a total of 84 thousand millionaires lived in the two states . find the number of millionaires in each of these states
There are 14 books on a shelf. 8 of these books are new What is the ratio of all books to used books?
The ratio of all books to used books in simplified form is 7 : 3.
Used the concept of ratio that states,
The ratio indicates how many times one number contains another number. The ratio of two numbers is written as x: y, which is equivalent to x/y.
Given that,
There are 14 books on a shelf.
8 of these books are new.
Here, the number of used books is,
14 - 8
= 6
Thus, the ratio of all books to used books is,
14 : 6
Simplified form;
14 : 6 = 7 : 3
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Please answer, will choose brainliest
Prove that if m + n and n + p are even integers, where m, n, and p are integers, then m + p is even. what kind of proof did you use?
This is about usage of direct proof.
m + p was proved to be even using direct proof.
We are given;m, n and p are integers
m + n and n + p are even integers.
From direct proof in Maths;If a is an even integer, then there will exist an integer b such that;
a = 2b
Applying that to our question, we can say that;m + n = 2b
n + p = 2c
Adding both equations together gives;m + 2n + p = 2b + 2c
We want to find if m + p is even. Thus, let's rearrange to get them on one side;m + p = 2b + 2c - 2n
Factorizing, we have;
m + p = 2(b + c - n)
From earlier, b, c and n are integers. Therefore, from earlier formula about direct proof of even integers, we can equally say that m + p is also even.
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If you horizontally stretch the quadratic parent function, f(x) = x2, by a factor of 4, what is the equation of the new function?
The right answer is g(x)=(1/4x)^2 had the same question!!
Final answer:
The equation of the quadratic function f(x) = x² after a horizontal stretch by a factor of 4 is f(x) = x²/16.
Explanation:
When you horizontally stretch the quadratic parent function f(x) = x² by a factor of 4, you are stretching the function in the x-direction. This means that each x-coordinate of the graph is multiplied by the stretch factor. The new function is obtained by replacing x with x/4 in the original function. So the equation of the new function after a horizontal stretch by a factor of 4 is:
f(x) = (x/4)²
This simplifies to:
f(x) = x²/16
Adding fractions with uncommon denominators
find the least common denominator then change fractions to have the same denominator, add them together and then reduce the fraction if possible
Roger sells fire trucks and dolls to a toy store. He sells each fire truck for $15 and each doll for $10. Roger wants to sell at least 25 toys and needs to earn at least $300 to cover his costs. If each fire truck takes 50 minutes to make and each doll takes 45 minutes to make, how many fire trucks and dolls should Roger make to minimize the time spent making the toys.
Answer:
this is the correct answer for plato (Roger should make 10 fire trucks and 15 dolls in order to minimize the time spent making toys.)
Step-by-step explanation:
Answer:
Number of Fire trucks made= 10.
Number of Dolls made = 15
Step-by-step explanation:
Let x denote the number of fire trucks made.
and y denote the number of dolls made.
Now we are given:
Roger wants to sell at least 25 toys .Hence, the inequality that can be made from this information is:
[tex]x+y\geq 25[/tex]
Also,He sells each fire truck for $15 and each doll for $10.
He needs to earn at least $300 to cover his costs.
The inequality that can be made from this piece of information is:
[tex]15x+10y\geq 300[/tex]
Also,
x≥0
and y≥0
Each fire truck takes 50 minutes to make and each doll takes 45 minutes to make.
Now we are asked to minimize the time function let it denote by 'z'.
Hence, the system that is formed is:
Optimization function Min. z=50x+45y
subject to x+y ≥ 25[/tex]
and 15x+10y ≥ 300[/tex]
Non-negative constraint x ≥ 0
y ≥ 0
Now on solving the constraints we get the boundary points as:
(25,0) , (0,30) and (10,15)
Hence, the optimal solution is checked at these points.
(25,0) z=1250
(0,30) z=1350
(10,15) z=1175
Hence, the minimal time spent is: 1175 minutes.
Number of Fire trucks made= 10.
Number of Dolls made =15