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2 years ago

6

Herron’s backpack weighs 10 kilograms. Errol has a backpack that weighs 23 as much as Herron’s backpack. What is the correct est

imate of the weight of Errol’s backpack?

1 answer:

Nataliya [291]2 years ago

7 0

Answer:

the correct estimate of the weight of Errol's backpack would be 33

Step-by-step explanation:

you just need to add 10 and 23.

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What is the equation of the line that goes through the point (6,-1) and is parallel to the line represented by the equation belo

stepladder [879]

$\huge{\boxed{y=-\frac{5}{6} x+4}}$

Parallel lines share the same slope, so the slope of the parallel line in this case must be $-\frac{5}{6}$ .

Point-slope form is $y-y_1=m(x-x_1)$ , where $m$ is the slope and $(x_1, y_1)$ is any known point on the line.

Plug in the values. $y-(-1)=-\frac{5}{6} (x-6)$

Simplify and distribute. $y+1=-\frac{5}{6} x+5$

Subtract 1 from both sides. $\boxed{y=-\frac{5}{6} x+4}$

6 0

3 years ago

Read 2 more answers

What is the sum of 20x^2-10x-30

ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

$ax^{2} +bx+c=0$

The sum of the roots is equal to

$-\frac{b} {a}$

in this problem we have

$20x^{2} -10x-30=0$

so

$a=20\\b=-10\\c=-30$

substitute

$-\frac{(-10)} {20}=0.5$

<u><em>Verify</em></u>

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

$a=20\\b=-10\\c=-30$

substitute

$x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}$

$x=\frac{10\pm\sqrt{2,500}} {40}$

$x=\frac{10\pm50} {40}$

$x=\frac{10+50} {40}=1.5$

$x=\frac{10-50} {40}=-1$

The roots are x=-1 and x=1.5

The sum of the roots are

$-1+1.5=0.5$ ----> is ok

5 0

3 years ago

Your Bank account balance was $235 and 24. After two checks were cashed (each for the same amount) your balance is now -45.58. W

elena55 [62]

235.24 + 45.58 = 280.82

280.82/2 = 140.41

each check was for $140.41

8 0

3 years ago

Can u guys help me with number one plz<br>

attashe74 [19]

Answer:

Step-by-step explanation:

8 0

3 years ago

A professor determined the relationship between the time spent studying (in hours) and performance on an exam.

kykrilka [37]

Step 1: Insert 2.6 hours for the variable of time and solve.
70.443 + 4.885(2.6)
70.443+ 12.701
= 83.144
This is Ann's EXPECTED exam score. Because of the concert, Ann scored 16 points lower than this number.
Step 2: Subtract 16 from Ann's expected score.
83.144 - 16
= 67.144

3 0

3 years ago