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yKpoI14uk [10]
3 years ago
13

Can someone please help me with this problem: solve 14 = 2a/9. A =​

Mathematics
1 answer:
NikAS [45]3 years ago
3 0

Answer:

a=63

Step-by-step explanation:

14=\frac{2a}{9}

Switch sides:

\frac{2a}{9}=14

Multiply both sides by 9:

\frac{9\cdot \:2a}{9}=14\cdot \:9

2a=126

Divide both sides by 2:

\frac{2a}{2}=\frac{126}{2}

a=63

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If you wanted to make graph of y=3x+1 steeper, which equation could you use?
grandymaker [24]
The graph of y = 3x + 1 has a slope of 3, for it to be steeper the graph should have a slope of more than 3.
Therefore, the equation to use is y = 7x + 1
8 0
3 years ago
Prove that if -5(x + 4) = 70, the x = -18. Write a justification for each step.
crimeas [40]

Step-by-step explanation:

Let's solve your equation step-by-step.

−5(x+4)=70

Step 1: Simplify both sides of the equation.

−5(x+4)=70

(−5)(x)+(−5)(4)=70(Distribute)

−5x+−20=70

−5x−20=70

Step 2: Add 20 to both sides.

−5x−20+20=70+20

−5x=90

Step 3: Divide both sides by -5.

−5x

−5

=

90

−5

x=−18

5 0
3 years ago
Read 2 more answers
In the diagram, ABCD is a part of a right angled triangle ODC. If /AB/= 6 cm,
Andreas93 [3]

Answer:

1) 13.3 cm

2) 48.3 cm

Step-by-step explanation:

1) Right angled triangle ODC and right angled triangle OAB are similar because AB//DC. The two triangles have the same proportion and are equiangular (having equal angles) but have different lengths.

Let OB = x, OC = OB + BC = x + 8

Therefore:

\frac{OC}{OB}=\frac{DC}{AB}  \\\frac{x+8}{x}=\frac{15}{6}\\15x=6(x+8)\\15x=6x+48\\15x-6x=48\\9x=48\\x=5.3\ cm

The height of triangle ODC = OC =  x + 8 = 5.3 + 8 = 13.3 cm

2) Using Pythagoras theorem:

OD² = OC² + DC²

OD² = 13.3² + 15²

OD² = 401.89

OD = √401.89 = 20 cm

2) perimeter of triangle ODC = OD + OC + DC = 20 + 13.3 + 15 =48.3 cm

3 0
3 years ago
Which equation shows a proportional relationship? *<br><br> y= -2x +5<br> y= 3+ 5x<br> y= -3x
bezimeni [28]

Answer:

y= -3x

Step-by-step explanation:

The graph of a line with a proportional relationship would have the line go through the origin.

Since the 'y=-3x' equation only shows the slope of the line, it goes through (0,0), or the origin, as it's y-intercept.

y= -3x should be the correct answer.

Hope this helps.

4 0
4 years ago
Help urgent In a class of 35 students 15 of them have cats 16 have dogs 3 hangs none how many probability does have both
dalvyx [7]

Answer:

9/25

Step-by-step explanation:

Number of student who has cat , dog = 25 - 3 = 22

Number of students who has cat and dogs = (15 + 16) - 22

                                                                       = 31 - 22 = 9

Number of students who has only cats = 15 - 9 = 6

Number of students who has only dogs = 16 - 9 = 7

P(Cat & dog) = 9/25

8 0
3 years ago
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