[tex]\huge\bold{Given :}[/tex]
Product of two integers = - 112
One of the integer = -8
[tex]\huge\bold{To\:find :}[/tex]
The other integer.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\blue{The \:other \:integer\:is\: 14.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
Let the other integer be [tex]x[/tex].
As per the question, we have
[tex]Product \: \: of \: \: two \: \: integers = - 112[/tex]
➼ [tex] \: - 8 \times x = - 112[/tex]
➼ [tex] \: x = \frac{ - 112}{ - 8} [/tex]
➼ [tex] \: x = 14[/tex]
[tex]\sf\purple{Therefore,\:the\:other\:integer\:x\:is\:14.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex] - 8 \times 14 = - 112[/tex]
➺ [tex] \: - 112 = - 112[/tex]
➺ L. H. S. = R. H. S
Hence verified.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}[/tex]
Answer:
If the product of two integers is -112 and one of them is -8, that means the value of the second integer would be 14.
Step-by-step explanation:
The product of two integers equals -112 means that there are two numbers that, when multiplied, were equivalent to -112. Since you know one of the integers is -8, you can infer that the second integer is both a positive number AND the remainder of [tex]\frac{-112}{-8}[/tex] or 14.
what is the quotient
4/5 ÷ 1/10
Answer:
4/5 ÷ 1/10 = 40/5 as simplified as 8/1 in fraction form.
4/5 ÷ 1/10 = 8 in decimal form.
This calculator, formula, step by step calculation and associated information for fraction 4/5 divided by 1/10 may help students, teachers, parents or professionals to learn, teach, practice or verify such division between two fractions calculations efficiently.
Step-by-step explanation:
hope it helps...
Answer:
8/1
Step-by-step explanation:
4/5 change × 10/1= 8/1 hope helpful answer to your question have a good time to you
Which of the following functions represent exponential decay and has a y-
intercept of 2?
O y = {(0.85)*
O y = (2)*+2
O y = 4 (2)*
O y = 2(3)*
Answer:
Non of the given options
A function that represent an exponential decay and 2 as the y-intercept is y = 0.85ˣ + 1
Step-by-step explanation:
An exponential decay function is a function that reduces in magnitude at a constant percentage rate, r (< 1)
An exponential decay can be represented by the formula, y = a·(1 - r)ˣ
Therefore, the growth factor, (1 - r) = b is less than 1 for an exponential decay
Therefore the function that represent an exponential decay is y = 0.85ˣ, while a function that represent an exponential decay and has a y-intercept of 2 is y = 0.85ˣ + 1. therefore, non of the options
Which word BEST describes 3x, 5y, and z in the expression 3x − 5y + z?
A terms
B products
C variables
D coefficients
Anthony is building a cube-shaped box to store some of his smaller crafting supplies. The formula for the surface area of a cube is SA = 6s 2 , where s is the side length of the cube. If he has a total of 200 in. 2of cardboard, can Anthony build a box where s = 6 in.?
A) No, he needs 16 in. 2more cardboard.
B) No, he needs 232 in. 2more cardboard.
C) Yes, he will have 56 in. 2of cardboard left over.
D) Yes, he will have 128 in. 2of cardboard left over
Answer:
I'll go through the setup and let you compute the answer
Step-by-step explanation:
I think you meant
[tex]SA = 6 {s}^{2} [/tex]
and the sheet of cardboard if
[tex]200 {in}^{2} [/tex]
Find the surface area of a 6 inch cube
[tex]SA = 6 \times {6}^{2} [/tex]
if you have questions, you can send a comment
Work out(3^5-5^3+2) divided 4^2
Given:
[tex](3^5-5^3+2)[/tex] divided by [tex]4^2[/tex].
To find:
The simplified form of the given expression.
Solution:
We have, [tex](3^5-5^3+2)[/tex] divided by [tex]4^2[/tex]. Mathematically it can be written as:
[tex]\dfrac{3^5-5^3+2}{4^2}=\dfrac{243-125+2}{16}[/tex]
[tex]\dfrac{3^5-5^3+2}{4^2}=\dfrac{120}{16}[/tex]
[tex]\dfrac{3^5-5^3+2}{4^2}=\dfrac{15}{2}[/tex]
[tex]\dfrac{3^5-5^3+2}{4^2}=7.5[/tex]
Therefore, the simplified form of the given expression is 7.5.
someone PLSSSS HELPPP !! fast pls please
Answer:
A. i think
Step-by-step explanation:
Answer:
4, -16, 64, -256
the common ratio is -4
Step-by-step explanation:
14. If I share 123 sweets equally among amongst 7 children, how many sweets will each child get?
……………………………………..
Answer:
No. of sweets = 123
No. of children = 7
then
sweets per children =123/7 =17. 57
Answer: =17.57
Step-by-step explanation:
Divide the no. of sweets by the no. of children
=123/7
=17.57
Two similar triangles have a scale factor of 5:3. The perimeter of the larger triangle is 75 sq inches. What is the perimeter of the smaller triangle measured in inches?
Answer:
45 inches
Step-by-step explanation:
Create a proportion where x is the perimeter of the smaller triangle:
[tex]\frac{5}{3}[/tex] = [tex]\frac{75}{x}[/tex]
Cross multiply and solve for x:
5x = 225
x = 45
So, the perimeter of the smaller triangle is 45 inches
Find the inverse of the function y = 2x^2 + 2.
Answer:
its the last one.
Step-by-step explanation:
easy way to do inverse functions:
write out equation :
y = 2[tex]x^{2}[/tex] + 2
Switch the x and y:
x = 2[tex]y^{2}[/tex] + 2
Solve for y :
x = 2[tex]y^{2}[/tex] + 2
subtract 2 both sides
x - 2 = 2[tex]y^{2}[/tex]
Divide both sides by 2
[tex]\frac{x}{2}[/tex] - [tex]\frac{2}{2}[/tex] = [tex]y^{2}[/tex]
reduce fraction and square root both sides
the window of a building 65m above the street level from this window ,a person looks across the street at a building and finds that the Angle of elevation of the top of the building is 72°and the angle of depression if the bottom of the building is 28° .if the street level is horizontal and the ground distance between the building is 80m.find to the nearest m the vertical heights of the building
not so sure about your question. please check.
Which of the following is the solution to the inequality below?
-6(4 - x) S-4(x + 1)
O A. x210
O B. x5 10
O C.x22
O D. x52
Answer:
x≤2
Step-by-step explanation:
-6(4 - x) ≤-4(x + 1)
Distribute
-24 +6x≤ -4x-4
Add 4x to each side
-24 +6x+4x≤-4x-4+4x
-24 +10x≤ -4
add 24 to each side
-24+10x+24≤-4+24
10x≤20
Divide by 10
10x/10 ≤20/10
x≤2
Answer:
D. x ≤ 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
-6(4 - x) ≤ -4(x + 1)
Step 2: Solve for x
[Distributive Property] Distribute -6: -24 + 6x ≤ -4(x + 1)[Distributive Property] Distribute -4: -24 + 6x ≤ -4x - 4[Addition Property of Equality] Add 4x on both sides: -24 + 10x ≤ -4[Addition Property of Equality] Add 24 on both sides: 10x ≤ 20[Division Property of Equality] Divide 10 on both sides: x ≤ 2Área de Cuadriláteros
¿Me pueden ayudar con esta tarea?
Answer:
I can't understand this language sorry
Plz hep me I don’t understand
Answer:
Purple
Step-by-step explanation:
Because the graph has the circle filled in at the point 11, we know that it is a valid solution and that we are looking for a sign with the line under it. However, because we know that the number line extends to the right of 11, these would include answers such as 12, 13, 14, 15, etc. Because all these values are "greater than or equal to" 11, our answer is 11 <or= a, which is the purple one or the one on the right.
give that y=-4,x=3,b=7 & c=2 find b^c
Answer:
49
Step-by-step explanation:
b^c
Let b = 7 and c = 2
7^2
7*7 = 49
Answer:
49
Step-by-step explanation:
you fill in the equation so that it's 7^2. which is 7*7. this equals 49
Choose the answer that makes the sentence true.
Answer:
I would answer but I don't know what the answers are...
Answer:
I cant see the answers, any way you can get it up?
PLSSS, NEED ANSWER. Find the midpoint of the line segment with end coordinates of (-2,-5 and 3,-2
). Give coordinates as decimals where apropriate
Answer:
(0.5, -3.5)
Step-by-step explanation:
(x1 + x2/2, y1 + y2/2)
(-2 + 3 / 2, -5 - 2 / 2)
(1/2, -7/2)
Multiple Choice:
Suppose a triangle has sides 3, 4, and 5. Which of the following MUST be true?
A. The triangle in question may or may not be a right triangle.
B. The triangle in question is a right triangle.
C. The triangle in question is not a right triangle.
Answer:
b. the triangle is not a right triangle
Step-by-step explanation:
Answer:
The triangle in this particular question may or may not be a right angled triangle
Step-by-step explanation:
~basically triangle are known to have 3 sides otherwise we would not call it a triangle...however in this particular question they may be no definite answer and triangle with 3 sides can be any sort of triangle:
-isosceles triangle with 3 uneven sides
-right angled triangle like stated with an hypotenuse
or
-scalene triangle with simply to equal sides...
glad I could help thumbs
disclaimer this answer may not be accurate and I do not take any responsibility if this answer is wrong thank you
What is the equation of the parabola with focus (1/3, 2/3) and directrix y = 1/2pls help ill give points
Answer:
D. y = 3·x² - 2·x + 11/12
Step-by-step explanation:
The coordinates of the focus of the parabola, f = (1/3, 2/3)
The directrix of the parabola, y = 1/2
The standard form of the equation of a parabola is (x - h)² = 4·p·(y - k)
The coordinates focus = (h, k + p)
The y-coordinates of the directrix, y = k - p
By comparison, we have;
h = 1/3...(1)
k + p = 2/3...(2)
k - p = 1/2...(3)
Adding equation (3) to equation (2) gives;
k + p + (k - p) = k + k + p - p = 2·k = 2/3 + 1/2 = 7/6
k = (7/6)/2 = 7/12
k = 7/12
From equation (2), we get;
p = 2/3 - k
∴ p = 2/3 - 7/12 = 1/12
p = 1/12
The equation of the parabola is therefore;
(x - 1/3)² = 4·(1/12)·(y - 7/12) = y/3 - 7/36
y = 3 × ((x - 1/3)² + 7/36) = 3 × ((x² - 2·x/3 + 1/9) + 7/36) = 3·x² - 2·x + 11/12
y = 3·x² - 2·x + 11/12.
Please hurry i want the answer of this question please
[tex]\displaystyle\bf 1200=12*100=3*4*(2*5)^2=3*2^2*2^2*5^2=2^4*3^1*5^2 \\\\Answer: \boxed{ A)\quad a=4 \quad ; \quad b=1 \quad ; \quad c=2}[/tex]
The sum of three of the interior angles of a pentagon is 420°. If the remaining angles are equal, how much does each measure?
Question 6 Multiple Choice Worth 1 points)
(01.06 LC)
Solve x - 5y = 6 for x.
Answer:
x = 6+5y
Step-by-step explanation:
x - 5y = 6
Add 5y to each side
x - 5y+5y = 6+5y
x = 6+5y
Answer:
x = 6 + 5y
Step-by-step explanation:
x - 5y = 6
Solve for x.
x - 5y = 6
Add 5y to both side
x - 5y + 5y = 6 + 5y
x = 6 + 5y
The Duke Blue Devils basketball team plays home games at Cameron Indoor Stadium. The court is in the shape of a rectangle. If the length of the court is (5.8a+6.1b-3.6c) feet and the width of the court is (434b-235c) feet, then what is the perimeter of the court?
Answer:
11.6a + 880.2b - 477.2c
Step-by-step explanation:
Given:
length of the court = (5.8a+6.1b-3.6c) feet
width of the court = (434b-235c) feet
Since the court is said to be rectangular in shape :
The perimeter of a rectangle = 2(length + width)
Perimeter = 2(5.8a+6.1b-3.6c + 434b-235c)
Perimeter = 2(5.8a+6.1b+434b-3.6c-235c)
Perimeter = 2(5.8a + 440.1b - 238.6c)
Perimeter = 11.6a + 880.2b - 477.2c
mobimax Which of the following statements are true of rational numbers?
Check all that are true.
Decimals that can be written as fractions are rational numbers.
Repeating decimals are rational numbers because they can be written as fractions.
One divided by zero is an example of a rational number.
A rational number can be written as one integer divided by another integer.
Rational numbers can be written as fractions.
Answer:
Options : 1 , 2 , 4 , 5
Step-by-step explanation:
Rational numbers are numbers of the form
[tex]\frac{p}{q}[/tex],
where p and q are integers and q≠0
A decimal number is a rational number , if its :
A) Terminating.
Example : 0.5
B) Non Terminating and Recurring(repeating).
Example : 0.111111111.....
Option 1 : True
Option 2 : True
Option 3 : False [ denominator cannot be zero ]
Option 4 : True
Option 5 : True
I need help can someone please answer this for me
PLEASE HELP HURRY ASAP
The spinner depicted is a fair spinner. The spinner is least likely to land on which number?
A. 1
B. 2
C. 3
D. it is impossible to tell
Question 4 OT TU
Find the volume of the cube in inches and enter your answer below. Round
your answer to the nearest hundredth. Do not include units in your answer.
3.2 in.
3.2 in.
3.2 in.
Answer here
Answer:
The volume of cube is 32.7 inches³
Step-by-step explanation:
Given :-
Side of cube is 3.2 inTo Find :-
Volume of cube
Formula Used :-
Volume of cube = ( side)³
Solution :-
To calculate the volume of cube. Simply by applying formula volume of cube. As given in the question that ths side if cube is 3.2 inches.Using Formula
Volume of cube = ( side) ³
Where,
side of cube is 3.2 inchesCalculation being :-
⟼ Volume of cube = ( 3.2 inches) ³
⟼ Volume of cube = 32.768 inches ³
Hence, the volume of cube is 32.768 inches³.
Round nearest hundred = 32.7 inches³.
Oliver earns an hourly wage, as shown in the graph. In addition to his hourly wage, he is eligible for bonuses. If he received a $100 bonus award for his performance and worked 20 hours, how much did he earn?
Oliver earns a total of $260.
What is Ratio?When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage.
Given, In the graph, Oliver is depicted as having hourly pay. He is qualified for bonuses in addition to his hourly pay. If he put in 20 hours of effort and received a $100 performance bonus. equation of this line:
y = kx +c
since this line goes through the origin point. Constant (c) will be zero.
At the point (1, 8 ) k = 8
Hence, Y = 8x
Because hours worked are 20
earning = 8 * 20 = 160
Total earnings = 100 + 160 = 260
Therefore, the Total money that Oliver earns is $260.
Learn more about ratios here:
https://brainly.com/question/29192438
#SPJ2
Can you please help me. It says to find each product
Here is the question
There is a picture
Answer:
-3/5
Step-by-step explanation:
7 * -3/7 * 1/5
Rewritng
7/7 * -3/5 *1
Simplifying fractions
1 * -3/5 *1
-3/5
Please Help 50 points!!
A substance decays so that the amount A of the substance left at time t is given by:
Answer:
lol sorry for answer what's that
he table represents the multiplication of two binomials.
A geometric model with 2 columns and 2 rows. The first column is labeled 3 x with entries A, C. The second column is labeled 5 with entries B, 10. The first row is labeled negative x with entries A, B. The second row is labeled 2 with entries C, 10.
What is the value of A?
negative 3 x
negative 3 x squared
negative 5 x
negative 5 x squared
Answer:
B.
Step-by-step explanation:
If you add 3x + x, it would be 3x^2