1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ANTONII [103]
3 years ago
6

12x + 4y = 152 32x + 12y = 420 what is y?

Mathematics
1 answer:
vichka [17]3 years ago
7 0

Answer:

the value of x = 9  and y =11.

Given the system of equation:

12x + 4y =152                  .......[1]

32x + 12y = 420              ......[2]

Multiply equation [1] by 3 we get;

Using distributive property:  

            ......[3]

On solving equation [2] and [3] simultaneously we get;

x = 9

Substitute the value of x= 9 in [1] to solve for y;

108 + 4y = 152

Subtract 108 from both sides we have;

108 + 4y -108 = 152- 108

Simplify:

4y = 44

Divide both sides by 4 we get;

Simplify:

y= 11

therefore, the value of x = 9  and y =11.

You might be interested in
Ms. Barclay orders birthday cupcakes for the month of June from an online vendor. Each cupcake costs $1.25 and there is a one-ti
artcher [175]

Answer:

Ms. Barclay ordered 9 cupcakes.

Step-by-step explanation:

$1.25x9=11.25

11.25+3.25=$14.50

8 0
3 years ago
in 2018 GRE scores were normally distributed with a mean of 303, and standard deviation of 13. Standford University Graduate sch
eduard

Answer:

The minimum score needed to be considered for admission to Stanfords graduate school is 328.48.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 303, \sigma = 13

What is the minimum score needed to be considered for admission to Stanfords graduate school?

Top 2.5%.

So X when Z has a pvalue of 1-0.025 = 0.975. So X when Z = 1.96

Z = \frac{X - \mu}{\sigma}

1.96 = \frac{X - 303}{13}

X - 303 = 13*1.96

X = 328.48

The minimum score needed to be considered for admission to Stanfords graduate school is 328.48.

3 0
3 years ago
The surface area of a cone is given by the formula<br> S= nl + ar2 Solve the formula for I.
Drupady [299]
Bbsnsndhvdhdjjdbrhdjdgrgbfhdjixgfhrurhfhrjhfgrjhdbdrh
3 0
3 years ago
PQ has endpoint p(0,0)and Q(8,4) find the coordinates of the mid point pq
Vera_Pavlovna [14]
The answer is (4,2).

Midpoint formula:
(x \: y) = ( \frac{x2 - x1}{2}) (\frac{y2 - y1}{2} )
Find the x value:
x = ( \frac{x2 - x1}{2} )
Plug in the givens:
x =  \frac{8 - 0}{2}  =  \frac{8}{2}  = 4
Find the y value:
y = ( \frac{y2 - y1}{2} )
Plug in the values:
y = ( \frac{4 - 0}{2} ) =  \frac{4}{2}  = 2
5 0
3 years ago
What should be done first to simplify the expression?
Olin [163]

Answer:

add 3+3

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • An item is regularly priced at $94. It is now priced at a discount of 30% off the regular price.
    6·2 answers
  • The average turkey sold in the US in 2005 played about 28 pounds with standard deviation of three times the average in 1965 was
    13·1 answer
  • Solve the equation<br> (k-1)^3/2 -3 =61
    12·1 answer
  • Multiply (4x-3)(4x - 3) *
    14·2 answers
  • A person's metabolic rate is the rate at which the body consumes energy. Metabolic rate is important in studies of weight gain,
    8·1 answer
  • You had $21 to spend on three pens .After buying them you had $12 how much did each pen cost
    11·1 answer
  • What is the arc measure of a 90 degree angle
    10·1 answer
  • 6x+12 in its simplest form?
    14·2 answers
  • Can y’all help me with this
    13·1 answer
  • What is the value of x?<br> x+10<br> 105
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!