Use elimination to solve for x and y:
9x - 4y = 11
x + 4y = 19
Select one:
a. (7,3)
b. (4,3)
c. (-1,5)
d. (3,4)

Answer:4

Step-by-step explanation:

Answer: c: $65

Step-by-step explanation:

Answer:

The cost of each kg of almonds is $1.75

The cost of each kg of jelly beans is $2.5

Step-by-step explanation:

We will use the system of linear equations to solve the question

Assume that the cost of 1 kg of almonds is $x, and the cost of 1 kg of jelly beans is $y

∵ For 2 kilograms of almonds and 3 kilograms of jelly beans,

   the total cost is $11

→ Multiply 2 by x and 3 by y, then equate their sum by 11

∴ 2x + 3y = 11 ⇒ (1)

∵ For 6 kilograms of almonds and 5 kilograms of jelly beans, the

   total cost is $23

→ Multiply 6 by x and 5 by y, then equate their sum by 23

∴ 6x + 5y = 23 ⇒ (2)

Now we need to solve this system of equations to find the values of x and y

→ Multiply equation (1) by -3 to make the coefficient of x in it equals

  the coefficient of x in equation (2) in values and differences in signs

∵ -3(2x) + -3(3y) = -3(11)

∴ -6x + -9y = -33 ⇒ (3)

→ Add equations (2) and (3) to eliminate x

∵ (6x + - 6x) + (5y - 9y) = (23 + -33)

∴ -4y = -10

→ Divide both side by -4 to find the value of y

∵  [tex]\frac{-4y}{-4}=\frac{-10}{-4}[/tex]

∴ y = 2.5

→ Substitute the value of y in equation (1) to find x

∵ 2x + 3(2.5) = 11

∴ 2x + 7.5 = 11

→ Subtract 7.5 from both sides

∵ 2x + 7.5 - 7.5 = 11 - 7.5

∴ 2x = 3.5

→ Divide both sides by 2 to find the value of x

∵ [tex]\frac{2x}{2}=\frac{3.5}{2}[/tex]

∴ x = 1.75

∵ x represents the cost of 1 kg of almonds

∴ The cost of each kg of almonds is $1.75

∵ y represents the cost of 1 kg of jelly beans

∴ The cost of each kg of jelly beans is $2.5

Answer: c is the answer

Answer:

C is the correct answer

3/4 of 12 is  9

I hope it helps!

Answer:

9 is 3/4 0f 12

Step-by-step explanation:

Multiply by the numerator of the fraction and divide by the denominator.

You can do this in either order.

12 × 3 = 36  then 36 ÷ 4 = 9  OR

12 ÷ 4 = 3    then  3 × 4 = 9

Answer:

m∠EHG = 68

Step-by-step explanation:

If the two ancient step pyramids are congruent,

ABCD ≅ EFGH

All the angles and sides of the two pyramids will be congruent.

By the property of congruence,

Base angles of both the pyramids will be congruent.

m∠ADC = m∠EHG = 68°

Therefore, m∠EHG = 68 will be the answer.

Answer:    I really don't know?????

Step-by-step explanation:

Answer:

i forget how to get it :)

Step-by-step explanation:

Answer: B

Step-by-step explanation: logical answer but if its nit right my bad

Answer:

Amplitude, in physics, the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position. It is equal to one-half the length of the vibration path.

Step-by-step explanation:

Answer:

Positive Slope

Step-by-step explanation:

The slope is going up Right

Answer: one hundred and five over three

Step-by-step explanation:

Answer: 57 i did the test

Step-by-step explanation:

Step-by-step explanation:

The nest is at 2.6 m, and the dwelling is at -14 m.  So the vertical distance is:

2.6 m − (-14 m) = 16.6 m

Answer:

x= 12h +15

Step-by-step explanation:

Complete Question

The complete is shown on the first uploaded image

Answer:

The correct option are option 2 and option 4

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 12  

    The test statistics is  [tex]t \approx 1.434[/tex]

    The level of significance is  [tex]\alpha = 0.05[/tex]

    The  rejection region is    t>1.796

   The null hypothesis [tex]H_o: \mu_d=0[/tex]

    The alternative hypothesis is  [tex]H_a : \mu_d >0[/tex]

 From the given values we see that t <  1.796(i.e   1.434 < 1.796 ) which implies that t is not within the rejection region

  Hence we fail to reject the null hypothesis

The conclusion is that there is insufficient evidence to suggest that that the husbands are significantly older than the wife.

Answer:

They would produce 14,400 packages of zetsy and the regular profit making would be $11,340.

Step-by-step explanation:

12-ounce

regular = 65%

mild = 35%

extra sharp zesty blend = 75%

extra sharp mild = 25%

8,100 mild for = $1.30

3,500 extra sharp = $1.50

cost blend and package = $0.30

regular sold = $1.8

zesty = $2.10

first we calculate the cost of each product

conversion Of  ounces to pounds:

1 pound = 16 ounces

regular cost:

12/16 pounds x 65% mild x $1.30

= 0.63375

12/16 pounds x 35% sharp x $1.50

= 0.39375‬

+ blend and package $0.30

total = $1.3275‬

contribution: $1.8 – $1.3275

= $0,4725‬

zesty cost:

12/16 pounds x 75% mild x $1.30

= 0.73125‬

12/16 pounds x 25% sharp x $1.50

= 0.28125‬

+ blend and package 0.30

total $1,3125‬

contribution: $2.10 – $1.3125

= $0,7875‬

to maximize profit:

profit = $0.4725Regular + $0.7875zetzy

adding the  constraint:

mild = Regular x $0.4775 + Zetzy x $0.5625 = 8,100

and

sharp = Regular x $0.2625 + Zetzy x $0.1875 = 3,100

contribution generated by each product/pound:

                                 Regular        Zesty

CM                          $ 0.47250 $ 0.47250

Constrain resource

( pounds of mild)         0.48750 0.56250

CM per constrain        $ 0.9692 $ 1.4000

Constrain resource

( pounds of sharp)         0.26250 0.18750

CM per constrain           $ 1.80      $ 4.20

As zesty is better we produce as much as we can:

8,100 pounts / 0.5625 per cheese spreads: 14,400

check for possibilities of other constraint:

14,400 zesty packages x 0.1875 pounds each = 2,700 pounds

because it’s possible we only produce zetsy

profit = $0.4725 (0) + $0.7875 (14,400)

profit =  $ 11,340

Answer:

C

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

Answer:

7/9.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 20b from both sides.

Step 3: Subtract 14 from both sides.

Step 4: Divide both sides by -18.

9514 1404 393

Answer:

  34°

Step-by-step explanation:

∠FZE and ∠BZC are vertical angles, so are congruent. The angle sum theorem tells us ...

  ∠BZC +∠CZD = ∠BZD

  (2x+5) +x = 107

  3x = 102

  x = 34

The measure of ∠CZD is 34°.

Answer:

3864

7*24=168

168*23=3864

Step-by-step explanation:

Based on the number of weeks that Lorena's baby brother has aged, in hours, the baby is 3,864 hours.

Lorena's baby brother is 23 weeks old.

First find out the number of hours in a week:

= Number of hours in day x number of days in week

= 24 x 7

= 168 hours

In 23 weeks, the baby brother would be:

= 168 x 23 weeks

= 3,864 hours

In conclusion, her brother is 3,864 hours old.

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Answer:

45 %

Step-by-step explanation:

decreasing by half would be 50 percent making it only 20 dollars. In this situation it is 2 dollars more. 45 percent of 40 is 18. subtract: 40-18=22

The decreased percent of the cost of the lamp is 45%.

A percentage is expressed as a number or ratio that can be expressed as fraction of 100. It is denoted by % symbol.

The cost of a lamp was reduced from $40 to $22.

Initial price = $40

Final price= $22

Decreased percentage =[tex]\frac{initial price-final price}{initial price} *100[/tex]

                                       =[tex]\frac{40-22}{40} *100[/tex]

                                       = 45%

Hence, the decreased percent of the cost of the lamp is 45%.

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Answer:

C - x=4

Step-by-step explanation:

The formula is a^2+b^2=c^2

Answer:

true

Step-by-step explanation:

Answer:

The answer is that the measure of ∠α is ≈ 20° when rounded to the nearest °

Step-by-step explanation:

To find the measure of ∠α you need to use the reciprocal of the formula for the law of sine which says that a/Sinα = b/Sinβ = c/Sin C. The reciprocal of this gives the new equation that states Sinα/a = Sinβ/b = Sin C/c, and this will help you to find the measure of the missing angle in °'s.

In the triangle line segment BC = 5units is opposite to point A & ∠α. Line segment AC = 7units  is opposite of point and ∠β which is = 28°. And finally, the hypotenuse length and the values of point C & ∠C are unknown, so they aren't important to solving the problem. Knowing all this you can plug in all the known values into the new formula, and start working on figuring things out.

To find the measure ∠α, you first write down everything, putting things into their proper places, so since you're solving for sinα you want the equation to look like this:

sinα/5 = sin28°/7

Then for the second step, you want to isolate the sinα. (To get it by itself × both left and righthand sides by 5 to begin simplifying).

This leaves you with :

sinα = sin28°÷7 · (5)    [And allows you to now solve for the right side of the equation, bringing us to our third step which is to once again simplify. So what you want to do is whip out your calculator and set it to degree mode, so you can find the of sin28° which is = 0.46947156278. Then ÷ that by 7, which will get you a number = 0.06706736611. Finally, take 0.06706736611 × 5,  and you will get the value = 0.33533683056, as your final answer in the third step]

Your equation should now look something like this :

sinα = 0.06706736611 × 5 or 0.33533683056

Moving onto the fourth step, you need to use the inverse of the trig function of sin to get your absolute value. (remember the inverse of sine or acrsin = sin^-1) Here you will need to multiply sin^-1 by 0.33533683056.

And also by now, you'll want to stop writing the equation as sinα = sin^-1 ×

0.33533683056, otherwise you won't get an answer, instead, you'll need to write:

α = sin^-1 × 0.33533683056

So once you do that for the fifth and final step, you'll need to simplify the equation on the righthand side one last time, and you should get the answer of α = 19.5930217327°. Which when rounded to the nearest ° is ≈ 20°.

Answer:

Dimensions are 2 and 4

Step-by-step explanation:

Area= a*b=8

Perimeter=2(a+b)=12 => a+b = 12/2. a+b = 6

a+b=6 =>a=6-b

If a=2=>b=4 so 4+2=6 , 4*2=8 and 4*2+2*2=12

If a=4=>b=2 so 4+2=6 , 4*2=8 and 4*2+2*2=12

Dimensions are 2 and 4

The possible dimensions of the table are -

L = 2, B = 4.

or

L = 4, B = 2.

Given is a rectangular table top has an area of 8 ft and a perimeter of 12 ft.

Let the dimensions of the rectangular table be {x} ft and {y} ft respectively.

We can write -

xy = 8                               ....... Eq(1)

2(x + y) = 12

x + y = 6                                 ....... Eq(2)

y = (6 - x)

Then, we can write -

x(6 - x) = 8

- x² + 6x = 8

x² - 6x + 8 = 0

(x - 2)(x - 4) = 0

We get -

x = 2 and x = 4

Now,

For x = 2, y = 4.

For x = 4, y = 2.

Therefore, the possible dimensions of the table are -

L = 2, B = 4.

or

L = 4, B = 2.

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Answer:

672.7436 units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale

Step-by-step explanation:

No. of customers pass the display on the day of sale = 1462

Proportion of people will purchase if pass such a special display = 0.43

Mean = E(X)=np

E(X)=[tex]1462 \times 0.43[/tex]

E(X)=628.66

Standard deviation = [tex]\sqrt{npq}[/tex]

Standard deviation =[tex]\sqrt{1462 \times 0.43 \times (1-0.43)}=18.92[/tex]

Now we are supposed to find how many units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale

P(X<x)=0.01

Using z table

[tex]P(\frac{x-\mu}{\sigma})= 2.33 \\\frac{x-628.66}{18.92}=2.33\\x=(2.33 \times 18.92)+628.66\\x=672.7436[/tex]

Hence 672.7436 units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale

The number of units should be 672.7436 units.

Since No. of customers pass the display on the day of sale is 1462 and the proportion of people who will purchase if pass such a special display is 0.43

So,

Mean should be = 43% of 1,462

= 628.66

Now the standard deviation should be

[tex]= \sqrt{1462 \times 0.43 \times (1-0.43)}[/tex]

= 18.92

Now the number of units should be

[tex]x - 628.66 \div 18.92 = 2.33[/tex]

x = 672.7436

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Answer:

The answer is 7

Step-by-step explanation:

Answer:

7 marbles

Step-by-step explanation:

You would put five first because that's how much marbles pete had and for jay you just add a 2.

5+2=7

Hope this helps:)