Can someone assist me in this question right here?

Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive. What is the sum of the factors

statuscvo [17]

Answer:

13

Step-by-step explanation:

Two factors of -48... that means two numbers which multiplied together give a result of -48, like -6 and 8 for example.

The difference of those two factors is -19. There not that many possible factors for -48, so if we list them we'll be able to spot a pair with a difference of 19.

A first list of factors for -48 is: -1 and 48, -2 and 24, -3 and 16, -4 and 12, -6 and 8.

We can create another list by inverting the signs: 1 and -48, 2 and -24, 3 and -16, 4 and -12, 6 and -8.

The question says the difference of the two factors is 19... can you spot in each list a pair of factors having a difference of 19? I see -3 and 16 and also 3 and -16.

The question also say the one of the greatest absolute value is positive... so that means it's a pair with +16, not -16.

The pair of factors we're looking for is then -3 and 16. They are factors of -18, they have a difference of 19, and the one with the greatest absolute value is positive.

The sum of -3 and 16 is 13.

7 0

3 years ago

The sum of the ages of Kristen and Ben is 32. Four years ago Kristen was twice as old as Ben. How old are they both now?

Elan Coil [88]

Let us say that:

K = age of Kristen

B = age of Ben

From the problem, we make the equations:

eqtn 1: K + B = 32

eqtn 2: (K – 4) = 2 (B – 4)

Simplifying eqtn 2:

K – 4 = 2 B – 8

K = 2 B – 4

Plugging in this to eqtn 2:

(2 B – 4) + B = 32

3 B – 4 = 32

3 B = 36

B = 12

From eqtn 2:

K = 2 B – 4 = 2 (12) – 4 = 20

So Kristen is 20 while Ben is 12.

5 0

3 years ago

HELP “The vertical supports in this truss bridge are built so that

ElenaW [278]

Answer:

The statement that is not true is;

c) m∠ABO = m∠ODC

Step-by-step explanation:

With the assumption that the lengths AO, and OD are equal, we have that in ΔABO and ΔOCD, the following sides are corresponding sides;

Segment AO on ΔABO is a corresponding side to segment OD on ΔOCD

Vertices B and C on ΔABO and ΔOCD are corresponding vertices

Therefore;

Segments AB and OB on ΔABO are corresponding sides to segments OC and OD on ΔOCD respectively

Therefore, ∠ABO on ΔABO is the corresponding angle to ∠OCD on ΔOCD

Given that ΔABO ≅ ΔOCD, we have that ∠ABO ≅ ∠OCD

Therefore;

m∠ABO = m∠OCD by definition of congruency

5 0

2 years ago

What is ×=1×=2×=4 ×=6

nikitadnepr [17]

Answer:

X=1

x=2

x=4

x=6

Step-by-step explanation:

You

literally

got

the

answer

yourself

3 0

3 years ago

Fred bought 4 liters of liquid laundry detergent 3250 mL of fabric softener and 2.5 L of bleach which date that is true

Colt1911 [192]

The complete question in the attached figure

we know that

Fred bought
4 liters of liquid laundry detergent
3250 mL of fabric softener------------> 3250/1000-------> 3.25 liters
2.5 L of bleach-----------> 2.5 liters

then
statements

4a. Fred bought 75 milliliters more fabric softener than bleach
3.25-2.5-------> 0.75 liters--------> 750 mi
the statement is false

4b. Fred brought 1.75 liters more laundry detergent than bleach
4-2.5---------> 1.5 liters
the statement is false

4c. Fred brought 750 milliliters more fabric softener than bleach. 
3.25-2.5-------> 0.75 liters-------> 750 ml
the statement is true

4d. Fred brought 150 milliliters more laundry detergent than bleach.
4-2.5--------> 1.5 liters---------> 1500 ml
the statement is false

4e. Fred bought 0.75 liters more laundry detergent than fabric softener.
4-3.25--------> 0.75 liters
the statement is true

4 0

3 years ago