For the two numbers listed, find two factors of the first number such that their product is the first number and their sum is the second number.
- 10,9

Answers

Answer 1

9514 1404 393

Answer:

  10, -1

Step-by-step explanation:

If you assume the numbers are integers, you can look at the factor pairs that make -10:

  -10 = 10(-1) = 5(-2) = 2(-5) = 1(-10)

The sums of these pairs are 9, 3, -3, -9, so the pair of interest is the first one:

  10, -1


Related Questions

evaluate the expression

Answers

Step-by-step explanation:

13

[tex]3 + (20 \div 5) - ( {2}^{2}) [/tex]

[tex]3 + 4 - 4 = 3[/tex]

15

[tex] \frac{10 - {3}^{2} }{20 - (3 \times 4)} [/tex]

[tex] \frac{10 - 9}{20 - 12} [/tex]

[tex] \frac{1}{8} [/tex]


Mark bought 8 boxes a week later half of all his boxes were destroyed in a fire there are now only 20 boxes left with how many did he start?

Let it b represent how many boxes he started with

Equation or inequality:

Mark began with:

Answers

9514 1404 393

Answer:

equation: 1/2(s +8) = 20Mark began with 32 boxes

Step-by-step explanation:

Let s represent the number Mark started with. After buying 8 more, he then had s+8. After the fire, he had ...

  (1/2)(s +8) = 20

This equation can be solved by multiplying by 2, then subtracting 8.

  s +8 = 40

  s = 32

Mark began with 32 boxes.

A student rotated figure A 270° clockwise about the origin to create figure D. Evaluate whether the student performed the rotation correctly.

Answers

Step-by-step explanation:

The student incorrectly performed a rotation of 90° clockwise.

Answer:

C, the student incorrectly preformed a rotation of 90 degrees clockwise.

Step-by-step explanation:

jasper had 3 5/6 feet of rope. He cut off two pieces that were 1 2/3 feet each for a project. How many rope does Jasper have left?

Answers

Answer:

Jasper have left 1/2 feet

Step-by-step explanation:

3 5/6 - (1 2/3 x 2)

= 23/6 - 10/3

= 23/6 - 20/6

= 1/2

Answer:

Jasper has [tex]3/6[/tex] feet of rope left.

Step-by-step explanation:

[tex]1 \frac{2}{3} + 1\frac{2}{3} = 3 \frac{1}{2} = 3\frac{2}{6} \\\\3 \frac{5}{6}- 3\frac{2}{6}= \frac{3}{6}[/tex]

There is another bag of red and yellow footballs with a ratio of 4:3. If there are 20 red footballs in the bag, how many footballs are there in total?

Answers

Answer:

35

Step-by-step explanation:

take no. of red footballs be 4x and yellow footballs be 3x

4x=20,   x=5

=> 3(5)= 15

total no. of footballs= 20+15= 35

10. If I is the midpoint of SU, find x.
8x + 11
12x – 1
S
U
8x+1=RX-1

Answers

Answer:

x = 3

Step-by-step explanation:

[tex]8x + 11 = 12x - 1 \\ 8x - 12x = - 1 - 11 \\ - 4x = - 12 \\ x = 3[/tex]


When y=35 evaluate -(y+5) and -y-5 to show that -(y+5)=-y-5

Answers

Step-by-step explanation:

for y = 35 we get

-(y + 5) = -(35 + 5) = -(40) = -40

-y - 5 = -35 - 5 = -40

both deliver the same result.

Don Simón repartió 60 canicas entre sus dos
hijos, de modo que el mayor recibió tres veces lo
que el menor. ¿Cuántas canicas recibió el hijo
mayor?

Answers

Un sistema de ecuaciones es un conjunto de ecuaciones que operan con el mismo conjunto de variables, de tal forma que buscamos solucionar ambas ecuaciones al mismo tiempo.

En este problema querremos encontrar un sistema de ecuaciones para poder encontrar la cantidad de canicas que recibe el hijo mayor.

Encontraremos que recibe 45 canicas

La información que se nos da es:

"Don simón repartió 60 canicas entre ambos hijos"

"El hijo mayor recibe 3 veces la que el menor"

Definamos las variables:

x = cantidad que recibe el hijo mayor

y = cantidad que recibe el hijo menor.

Como sabemos que la cantidad total de canicas es 60, entonces tenemos:

x + y = 60

Como tambien sabemos que el mayor recibe 3 veces lo que el menor, podemos escribir:

x = 3*y

Entonces tenemos 2 equaciones, las cuales podemos combinar en un sistema de ecuaciones.

x + y = 60

x = 3*y

Para resolver este sistema, el primer paso sería aislar una de las variables en una de las ecuaciones. Como queremos resolverlo para x, debemos aislar la otra variable.

Podemos hacerlo en la segunda ecuación:

x/3 = y

Ahora podemos reemplazar esto en la primer ecuación:

x + y = 60

x + x/3 = 60

(4/3)*x = 60

x = (3/4)*60 = 45

x = 45

Podemos concluir que el mayor recibe 45 canicas.

Si quieres aprender mas puedes leer:

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Help plsssssssssssssssssssssss

Answers

Answer:

Step-by-step explanation:

let Garrett orders x stickersfrom each company.

then

30+0.80x=14+1.20x

find the slop of the line passing
through A (-5,1) and B (3,-2)?

Answers

Answer:

-3/8

Step-by-step explanation:

(Y1 - Y2)/(X1 - X2) = SLOPE

(1 - -2)/(-5 - 3) = 3/-8

Cecelia receives two credit card offers in the mail. Each has a 0% introductory APR. After the introductory period, the first card has an APR of 19.99% and the second card has an APR of 24.99%. If each card has a late fee of $35 and an annual membership fee of $25, which card should she choose and why?

Answers

Answer:

1. We are told they have similar APR (starting) and Annual fee of 25 and similar late fee of 35

Then we must consider the APR after the initial value 19.999% < 24.99%

Hence she should price the first card with a 19.99% APR

a square playground measures 2500 ft^2 what is the distance around the edge of the playground?​

Answers

Answer:

20000

Step-by-step explanation:

What's the X-Intercepts of (2x-5)(x+1)=9 or (2x-5)(x+1)-9

Answers

Answer:

Step-by-step explanation:

Either way works. It comes to the same thing.

(2x-5)(x+1)=9

F: 2x*x = 2x^2

O: 2x*1 = 2x

I: -5 * x = -5x

L: -5*1 = -5

2x^2 + 2x - 5x - 5 = 9    Subtract 9 from both sides

2x^2 - 3x - 14 =0            Divide by 2 (it makes life easier).

Factoring you get

(2x - 7)(x + 2)

2x - 7 = 0

2x = 7

x = 3.5

x + 2 = 0

x = -2

The x intercepts = (3.5,0) and (-2,0)

I've put a graph up for the given equation.

HELP MEE !!!!!!!!!!!!!!!!!!!!​

Answers

Answer:

It is D

9 * (12 + 7) = 9 * 19 = 171

now we test to see if 9 * 12 + 9 * 7 is the same

9 * 12 = 108

9 + 7 = 63

108 + 63 = 171

Step-by-step explanation:

Solve for w.
|5w + 7) = |5w + 8)

please help :)

Answers

Answer:

w=3/2

Step-by-step explanation:

[tex]|5w+7|=|5w+8|\\5w + 7 =\pm (5w+8)\\5w + 7 = 5w + 8 \text{ or } 5w + 7 = -5w-8\\7 = 8 (\text{abusrd}) \text{ or } 10 w =15\\w= 15/10 = 3/2.[/tex]

Calculate simple interest and compound interest assuming that principal amount is $ 10,000; interest rate is 9% for three years. What is the amount different between compound and simple interest?

Answers

Step-by-step explanation:

Please mark me as brainlyest

Plz help me with these with steps

Answers

Answer: There are 100 blue marbles.

Step-by-step explanation:

252 x 2/7 = 72

72 is the number of the red marbles.

(252-72) x 4/9 = 80

80 is the number of the green marbles.

252-72-80 = 100

There are 100 blue marbles.

Is 9pi rational or irrational

Answers

Answer:

irrational

Step-by-step explanation:

every number that times with pi are irrational, only zero gives a rational number

draw a number line and represent the following rational number 5 upon 4


plz help me in this question
class 7



i will mark brainliest​

Answers

Answer:

First we need to convert this fraction number to decimal then only we caan mark that on a number line

[tex]\frac{5}{4}[/tex] divide

You will get 1.25

Now mark 1.25 on number line

II
Find the area of the right triangle.
Area =
I sa
square units
1 unit
Ya

Answers

Answer:

A = 6 units ^2

Step-by-step explanation:

The area of a triangle is found by

A = 1/2 bh where b is the base length and h is the height

A = 1/2 ( 2) * (6)

A = 6 units ^2

Answer:

6 square unit is correct answer

How high is a tree that cast a26ft shadow at the same time a 6ft post casts a shadow which is 11ft long

Answers

Answer:

[tex]14\frac{2}{11}[/tex] ft

Step-by-step explanation:

Let the height of the tree equal x. Shadows are proportional to the height of an object, so we can write a proportion where to numerators are the object and the denominators are the shadow:

[tex]\frac{x}{26} =\frac{6}{11}[/tex]

Now, to solve for x, we can cross-multiply:

11x = 6*26

11x = 156

x =  [tex]14\frac{2}{11}[/tex]

in the number 58, the value of the digit 8 is ----
and the value of the digit 5 is __ ?​

Answers

Answer:

8 is one's. 5 is tens.

Step-by-step explanation:

the 5 is in the tens place, and the 8 is in the ones place.

Harvey is 3 times as old as Jane. The sum of their ages is 48 years. Find the age of each.

Jane is

years old.
Harvey is

years old.

Answers

Answer:

Jane is 12 and Harvey is 36

Step-by-step explanation:

3x+x=48

4x=48

x=12

3(12)=36

1(12)=12

simplify -(2a -2) -(a + b)+(a-6+b)​

Answers

Step-by-step explanation:

-2a-2-a-b+a-6+b

-2a-a+a-b+b-2-6

-2a+0-8

-2a-8

Answer:

-2a-8

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

A glucose molecule is the

smallest type of protein
monomer of starch and cellulose
largest of the carbohydrate polymers
fundamental unit of genetic material

Answers

A glucose molecule is the smallest type of protein monomer of starch and cellulose largest of the carbohydrate polymers fundamental unit of genetic material.

A glucose molecule is the monomer of starch and cellulose.

Step-by-step explanation:

Glucose is an organic molecule composed of carbon atoms, oxygen atoms, and hydrogen atoms.It has a molecular formula of [tex]C_6H_{12}O_6[/tex]It is a monosaccharide sugar, carbohydrateAn important source of an energy in living organisms.Glucose gives two different natural polymers named: starch and cellulose. This polymer is formed by linking small units of glucose molecules with each other. And this small unit which repeats in the structure of its polymer is known as a monomer.Glucose in the monomer in its natural polymer that was starch and cellulose.

So from this, we can conclude that A glucose molecule is the monomer of starch and cellulose.

Learn more about glucose here:

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brainly.com/question/13159416?referrer=searchResults

<7 and <8 are complimentary angles. <5 = <8 and m<6 = 29. Find the measure of angle 7 and angle 5​​

Answers

Here <5=<8 then

<7=<6=29

[tex]\\ \sf\longmapsto <7+<8=90[/tex]

[tex]\\ \sf\longmapsto 29+<8=90[/tex]

[tex]\\ \sf\longmapsto <8=90-29[/tex]

[tex]\\ \sf\longmapsto <8=61[/tex]

<5=61°

The points (a,b) and (c,d) form a segment, and the points (d,e) and (d,f) form a segment. Create an equation assuming the segments are congruent

Answers

If the segments are congurent they are of equal length.

So constructing an equation will not be hard.

Take for example [tex]y=x[/tex] and limit x to be between and including 0 and 1 for the first segment. In this case our segment is [tex](a,b)\to(c,d)=(0,0)\to(1,1)[/tex].

Now, d has been fixated to the value of 1 and we need to construct a segment from [tex](1,e)\to(1,f)[/tex].

Since both x coordinates of the endpoints of the segment are fixed to be 1, we cannot run anymore, that is, we fixated our run. But on the rise (y-axis direction) we can still move one unit up.

Let e be 1 and f be 2. The distance between [tex](1,1)[/tex] and [tex](1,2)[/tex] is 1 which is also the distance between [tex](0,0)[/tex] and [tex](1,1)[/tex].

Now we are asked to find the equation of both segments.

First segment is described by [tex]y=x[/tex] with limited domain of [tex]0\leq x\leq1[/tex].

Second segment is described by [tex]x=2[/tex] with again limited domain of [tex]1\leq y\leq2[/tex].

Hope this helps :)

The length, l of a segment with points (x₁, y₁), and (x₂, y₂) is presented as follows; [tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

An equation that can be created given that the segment with points (a, b) and (c, d), and the segment with points (d, e), and (d, f) are congruent is presented as follows;

√((d - b)² + (c - a)²) = f - e

The reason the above equation is correct is presented as follows;

Given that the segments are congruent, therefore;

Length of (a, b) and (c, d) = Length of (d, e) and (d, f)

Length of (a, b) and (c, d) = √((d - b)² + (c - a)²)

Length of (d, e) and (d, f) = √((f - e)² + (d - d)²) = f - e

Which gives the equation;

√((d - b)² + (c - a)²) = f - e

Learn more about segments in the coordinate plane here:

https://brainly.com/question/14817604

which graph shows x =4?

Answers

Answer:

second graph shows x=4 because you can see from origin point and counting will makex=4

Please help I will mark brai list if u are right

Answers

Answer:

Umm I'm only in middle school umm I think it's A bc there pointing in the same line

Average rate of change question

Answers

Answer:

Step-by-step explanation:

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