Help plz it’s a test quest-



A new homeowner needs to determine the length of his rectangular backyard before he goes to the store for fencing. He knows that the area of
the yard is 51 square meters and that the width is 5.2 meters longer than the length. Which equation could be solved to determine the
dimensions of the backyard, where the length is / and the width is w?

0=w/2+5.2w -51

0=/2+5.2/-51

4w +10.451

4/+10.4 = 51

Answer:

x=10,1

Step-by-step explanation:

Answer:

34+(-12) =22

Step-by-step explanation:

because they said that adding numbers but they didn't said that negative Or positive. so i took those numbers

Answer:

45 is 100% of 45

Step-by-step explanation:

Answer: 45 is 100% of 45

Step-by-step explanation:

12 x 5 = 60

3 x 4 = 12

60 x 12 = 720

720 = Area

Answer:

39 degrees

Step-by-step explanation:

The sum of angle in the triangle ABC is a80 degrees

m<ACB + <BAC + <ABC =1 80

90 + <BAC + 51 = 180

141 + m<BAC = 180

m<BAC = 180-141

m<BAC = 39 degrees

Hence the measure of m<BAC is 39 degrees

Answer: 280 for number 2

Step-by-step explanation: I think I ain’t not % sure

Answer:

Step-by-step explanation:

145+15x>490. subtract 145 from both sides

15x>345, divide both sides by 15

x>23

So she will need to run for more than 23 weeks to reach her goal.

Answer:

11) -104÷8=x

-13=x

x=-13

12) b=-56÷14

b=-4

13) -6×18=b

b=-108

14) n=40÷10

n=4

Answer:  The dimensions of the rectangle are 7 cm × 4 cm

Step-by-step explanation:

let,

Breadth of the rectangle (l) = x

Length of the rectangle (b) = x + 3

Area of the rectangle = 28 cm²

Area of the rectangle = l × b

⇒ (x) × (x + 3) = 28

⇒ x² + 3 x = 28

⇒ x² - 3 x - 28 = 0  

⇒ x² - 7 x + 4 x - 28 = 0

⇒ (x - 7) + 4(x - 7) = 0

⇒ (x - 7)(x + 4) = 0

⇒ x = 4

Breadth = 4 cm

Length -

⇒ 4 + 3

⇒ 7 cm

Answer:

Step-by-step explanation:

Distribute the negative sign to turn the equation into pure addition. Then, change the denominator of the two fractions to the same thing.

Multiply 12/11 by 3/3

[tex]\frac{12}{11}*\frac{3}{3}=\frac{36}{33}[/tex]

Multiply 2/3 by 11/11

[tex]\frac{2}{3}*\frac{11}{11} =\frac{22}{33}[/tex]

Add them together now

[tex]\frac{36}{33} +\frac{22}{33} =\frac{58}{33}[/tex]

Answer:

1.758 Hope this helps :,D haven't spoken to u in a it tho- want to rp?

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Hope this helps!

Answer: $25

Step-by-step explanation:

1: 0.18 * ? = 4.50

2: ? = $4.50 / 0.18

3: ? = $25

Answer:

Step-by-step explanation:

given tanB= 4/3

so sinB=4/5

n cosB=3/5

given BC=15

BA=BC*cosB

=15*3/5

=9

AC=BC*sinA

=15*4/5

=12

Triangle ABC and DBE are similar by AAA

DB= BA-AD

=9-3

=6

DB/BA=DE/AC

6/9=DE/12

DE=12*6/9

=8

Answer:

DE = 8

Step-by-step explanation:

ΔABC and ΔDBE are similar.

As they share the same angles, the sides are in proportion to each other.

Therefore, we can solve using ratios.

Tan trigonometric ratio

[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

  [tex]\sf \tan (B)=\dfrac{4}{3}[/tex]

Therefore:

[tex]\implies \sf \dfrac{DE}{BD}=\dfrac{AC}{BA}=\dfrac{4x}{3x}[/tex]

We know that BC = 15 and that AC : BA = 4x : 3x

Using Pythagoras' Theorem:

[tex]\implies \sf (3x)^2+(4x)^2=15^2[/tex]

[tex]\implies \sf 9x^2+16x^2=225[/tex]

[tex]\implies \sf x^2(9+16)=225[/tex]

[tex]\implies \sf x^2=9[/tex]

[tex]\implies \sf x=3[/tex]

Therefore,

⇒ AC = 4 · 3 = 12

⇒ BA = 3 · 3 = 9

Now we have found the length of BA, we can find the length of BD:

⇒ BD = BA - DA

⇒ BD = 9 - 3

⇒ BD = 6

As DE : BD = 4x : 3x  and  BD = 6 then:

⇒ 3x = 6

⇒ x = 2

Therefore, to find DE, substitute x = 2:

⇒ DE = 4x

⇒ DE = 4(2)

⇒ DE = 8

I hope it helps you ❤️❤️❤️

Answer:

y=x-9

y=2x-15

Step-by-step explanation:

To solve this we can just pick a random number for our slope and solve for the y intercept

For example lets say the slope is 1

we know that wehn x=6 y= -3 so we have the following equation

-3= 6+b

B is -9

which means one equation is

y=x-9

We can just repeat this same process

Let's say the slope is 2

-3 = 2*6+b

-3= 12

b= -15

which means taht

y=2x-15

Answer:

Step-by-step explanation:

a 2m+5=13

2m=8

m=4

b 3m/5=-6

3m=-30

m=-10

c 4-5x=19

-5x=15

x=-3

d x/4-10=2

x=48

e -24=8(h+3)

-24=8h+24

-48=8h

h=-6

f -3+d/2=9

-3+d=18

d=21

hope this helps!

(attached image in the file below)

The first statement should be;

y is inversely proportional to a³.

Answer:

y = 0.64/x³

Step-by-step explanation:

y is inversely proportional to a³. This is;

y ∝ 1/a³

Thus, y = k(1/a³).

Where k is the constant of proportionality.

When y = 10, a = 2.

Thus; 10 = k(1/2³)

10 = k/8

k = 80.

Thus; y = 80(1/a³) - - -(1)

Also, a is directly proportional to x. Thus;

x ∝ a

So, x = ka

when x = 4, a = 20

Thus;

4 = 20k

k = 4/20

k = 1/5

Thus;

x = a/5

a = 5x

Put 5x for a in eq 1 to get;

y = 80(1/(5x)³)

y = (80/125) × 1/x³

y = 0.64/x³

Answer:

Step-by-step explanation:

I fu-ck-ed my girl-friend real good

Answer:

230 g

Step-by-step explanation:

4.3 x molar mass of NH4Cl

Molar Mass of NH4Cl = 14.0067 + 4x1.0079 + 35.453 = 53.491

4.3 x 53.491 = 230 g

Answer:

Explanation:

3x + 5 + 3x + 4 + 3x + 9 = 180

(3x + 3x + 3x) + (5 + 4 + 9) = 180( Combine Like Terms)

9x + 18 = 180

9x + 18 = 180

9x + 18 − 18 = 180 − 18

9x = 162

Divide Both Sides By 9

9x / 9 = 162 / 9

Answer:

125.6cm

Step-by-step explanation:

circumference of a circle is 2pir

pi=3.14

r=d/2=40cm/2=20cm

So, 2pir=2X20cmX3.14=40cmX3.14=31.4cmX4=125.6cm

PLEASE MAAKE THIS THE BRAINLIEST ANSWER

Answer:

A

Step-by-step explanation:

Answer:

8 yards. Trust me. I love mental math.

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.80 x 3 = 8.40 so 19.20-8.40=10.8 then 10.80/3= 3.60

Answer:

¹⁴⁵⁸³³³³³³³³⁄₁₀₀₀₀₀₀₀₀₀₀₀

Step-by-step explanation:

lol

Answer:

-3 1/7

Step-by-step explanation:

The required simplified mixed number of -24 divided by 7 is -3 3/7.

To divide -24 by 7, the result is a mixed number in simplified form.

Divide -24 by 7:

-24 ÷ 7 = -3.428571...

Simplify the result as a mixed number:

To write the mixed number, we take the whole number part, which is -3, and the fractional part, which is the remainder after dividing.

The remainder is approximately 0.428571... (it goes on infinitely), but we'll round it to the nearest fraction for simplicity.

Approximately, 0.428571... is closest to 3/7.

So, the simplified mixed number is -3 3/7.

Learn more about mixed numbers here:

https://brainly.com/question/24137171

#SPJ6

Answer:

yes

Step-by-step explanation:

60 - 0.1(60) = 54

60 - 6 = 54

54 = 54