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laila [671]
3 years ago
6

12 less the product of an unknown number and three equals -9.

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
4 0
In standard form its written 
3x-12=-9
if you need help solving then here you go as well
3x-12=-9
add 12 to both sides
3x=3
divide both sides by 3 
x=1
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3. Solve the system of equations using linear combination. <br><br> a + c = 9<br> 8a + 4.5c = 58
lana66690 [7]
Hey I have posted a picture the method I use to solve simultaneous equations is change the sign and follow the new sign.
This involves changing the sign for the second equation and solving it

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3 years ago
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A cylinder of clay has a diameter of 12 cm and a height of 12 cm. If this clay is made into congruent cones with a radius of 3 c
DanielleElmas [232]

Step-by-step explanation:

volume of the cyclinder=πr²h

=π×6²×12

=432π cm³

volume of a cone=1/3πr²h

=1/3π×9×8

=24π cm³

number of cones=432π/24π=18 cones

8 0
3 years ago
The strength of paper used in the manufacturing of cardboard boxes (y) is related to percentage of hardwood concentration in the
Elena-2011 [213]

Answer:

At a significance level of 0.05, there is enough evidence to claim that there is a significant relationship between x and y.

P-value = 0.003.

Step-by-step explanation:

If we perform a regression analysis relating x and y, we get the best fitting line with equation:

y=15.82x+92.9

and a correlation coefficient r:

r=0.693

We have to test the hypothesis, where the alternative hypothesis claims that there is a relationship between these two variables, and the null hypothesis claiming there is no relationship (meaning that the correlation is not significantly different from 0).

This can be written as:

H_0: \rho=0\\\\H_a:\rho\neq0

where ρ is the population correlation coefficient for x and y.

The significance level is assumed to be 0.05.

The sample size is n=16.

The degrees of freedom are df=14.

df=n-2=16-2=14

The test statistic can be calculated as:

t=\dfrac{r\sqrt{n-2}}{\sqrt{1-r^2}}=\dfrac{0.693\sqrt{14}}{\sqrt{1-(0.693)^2}}=\dfrac{2.593}{0.721}=3.597

For a test statistic t=2.05 and 14 degrees of freedom, the P-value is calculated as:

\text{P-value}=2\cdot P(t>3.597)=0.003

The P-value (0.003) is smaller than the significance level (0.05), so the effect is significant enough.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to claim that there is a significant relationship between x and y.

3 0
3 years ago
I would appreciate if someone could answer this :)
Wewaii [24]

Answer:

x = 3

Step-by-step explanation:

(-2 + 40x) + 62° = 180° (adjacent angles are supplementary)

-2 + 40x + 62 = 180

Add like terms

40x + 60 = 180

Subtract 60 from each side

40x + 60 - 60 = 180 - 60

40x = 120

Divide both sides by 40

40x/40 = 120/40

x = 3

5 0
3 years ago
Find the value of the variable if P is between J &amp; K.<br><br> JP = 3y+1 ; PK = 12y - 4 ; JK = 75
LuckyWell [14K]
<span>JP + PK = JK
3y + 1 + 12y - 4 = 75
15y -3 = 75
15y = 75 +3
15y = 78
y = 78/15
y = 5.2

answer is </span><span>a. 5.2</span>
3 0
3 years ago
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