Sherlene bought 3 pounds of coffee and 2 pounds of chocolate for a total of $24. Which equation, written in standard form, correctly represents this scenario and correctly indicates what the variables represent? A) The correct equation is 3x + 2y = 24, where x is the price per pound of coffee and y is the price per pound of chocolate. B) The correct equation is 5x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. C) The correct equation is 3x + 2x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. D) The correct equation is 3x + 2y = 24, where x is the price per pound of chocolate and y is the price per pound of coffee.

Answer:

yes

Step-by-step explanation:

75/100×75/100=49/100

49/100×20=8.58.5 % Is more than 20%

Answer:

Value of X: X=2

Length of One Side: 31

Area: 961u^2

Perimeter: perimeter = 124

Step-by-step explanation:

Set the sides equal to each other, simplify and then use quadratic equation. One result is positive and the other is negative, shape's sides have to be positive so use the positive value for X.

Answer:

See below, please

Step-by-step explanation:

This square

[tex]3 {x}^{2} + 6x + 7 = 2 {x}^{2} - 2x + 27[/tex]

[tex](3 {x}^{2} - 2 {x}^{2} ) + (6x + 2x) + (7 - 27) = 0[/tex]

[tex] {x}^{2} + 8x - 20 = 0[/tex]

[tex](x + 10) \times (x - 2) = 0[/tex]

Hence,

[tex]x1 = 2[/tex]

[tex]x2 = - 10[/tex]

Because x is positive, So,

[tex]x = 2[/tex]

Then we know

The length of one of the sides

[tex] = 3 {x}^{2} + 6x + 7 = (3 \times {2}^{2}) + (6 \times 2) + 7 = (3 \times 4) + 12 + 7 = 31[/tex]

The area of the square

[tex] = {31}^{2} = 961[/tex]

The perimeter of the square

[tex] = 31 \times 4 = 124[/tex]

a. Using the vertical angles theorem, m∠7 = 47°.

b. Based on the definition of linear pair, the equation that can be used to solve for x is: 2x - 5 + 47 = 180.

c. x = 69

A linear pair is two angles whose sum equals 180°.

Given the image, where:

m∠5 = 47°

a. ∠5 and ∠7 are vertical angles. Since verticl angles are congurent, therefore:

m∠7 = m∠5 = 47°

m∠7 = 47°

b. m∠6 = (2x - 5)°

m∠6 + m∠5 = 180° (linear pair)

Substitute

2x - 5 + 47 = 180 (equation that can be used to solve x)

c. 2x - 5 + 47 = 180

2x + 42 = 180

2x = 180 - 42

2x = 138

x = 138/2

x = 69

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Answer:

X=3

[tex] {3}^{2} + 6(3) - 3 \\ 9 + 18 - 3 \\ 27 - 3 \\ = 24[/tex]

Answer:

circle a: 3.14x36= 113.04

circle b: 3.14 x 64 = 200.96

circle c: 3.14 x 121= 379.94

circle d : 3.14 x 81 = 254.34

Step-by-step explanation: circle a is 6cm, circle b is 8 cm, circle c is 11 cm and circle d is 9cm.

and (Area = π r²) example: circle a 6²=36 and π=3.14 so 3.14x36=113.04

Answer:

NP NP

Step-by-step explanation:

this is the only solution that works for the question

Answer:

4

Step-by-step explanation:

Elissa uses 8.5 inches of thread per bracelet.

She has 40 inches of thread.

To find the maximum number of bracelets she can make, we need to divide.

40 / 8.5 = 4.70588...

We cannot have an unfinished bracelet, so we have to round down.

She can make 4 bracelets with 40 inches of thread.

Answer:

4 bracelets

Step-by-step explanation:

if 8.5 inches makes 1 friendship bracelet

what about 40inches

8.5inches=1 bracelet

40 inches=?

cross mulltiply

40x1

-------

8.5

=4 12/17 bracelets

12/17 of a bracelet is not a complete one

=4 complete friendship bracelets

aaaaaand 4 happy friends

Answer:

57

Step-by-step explanation:

976/974/973/967/964/963/947/946/943/937/936/934/796/794/793/769/764/763/749/746/743/739/736/734/697/694/693/679/674/673/649/647/643/639/637/634/497/496/493/479/476/473/439/437/436/397/396/394/379/376/374/369/367/364/349/347/346

Answer:

x=74

Step-by-step explanation:

if angle ABE = 148. then, angle EBC = 32

and for angle ECB an BEC,

180-32 = 148

148/2 = 74

so, angle ECB and angle BEC  = 74

we know, angle BCE and angle CEF are equal because they are alternate angles

so, x = 74

Answer:

distance between moon and sun= y/sin x

Step-by-step explanation:

by use of trigonometric ratios SOHCAHTOA

dat stuff only works on right angled triangles so that is what gave it away

you will use

Sin x= y/distance between moon and Sun

distance between moon and sun= y/sin x

based on my the sketch in my mind hope am right

Answer:

x > -3

[tex]\sf (-3, \infty)[/tex]

Step-by-step explanation:

Domain: input values (x-values)

Monotonic increasing:  always increasing.  
A function is increasing when its graph rises from left to right.

The graph of a quadratic function is a parabola.  If the leading term is positive, the parabola opens upwards.  The domain over which the function is increasing for a parabola that opens upwards is values greater than the x-value of the vertex.

Vertex

Standard form of quadratic equation:  [tex]\sf y=ax^2+bx+c[/tex]

[tex]\textsf{x-value of vertex}=\sf -\dfrac{b}{2a}[/tex]

Given function:

[tex]\sf y=x^2+6x[/tex]

Therefore, x-value of function's vertex:

[tex]\sf \implies x= -\dfrac{6}{2}=-3[/tex]

Final Solution

The function is increasing when x > -3

[tex]\sf (-3, \infty)[/tex]

[tex]\sf\large\underline\purple{Answer:-}[/tex]

The measure of the angle x = 90°

[tex]\sf\large\underline\blue{Reason:-}[/tex]

Theorem Of Tangent:-

[tex]\rightarrow[/tex]A radius is obtained by joining the centre and the point of tangency. The tangent at a point on a circle is at right angles to this radius.

________________________________

Hope it helps you:)

Have a nice day..

Answer:

The value of angle is 90°

Step-by-step explanation:

Theorem:-

And we know , the value of angle formed by perpendicular is 90°

[tex]81c {}^{2} - 4 = (9c - 2)(9c + 2)[/tex]

since it is in the form of:

[tex]x {}^{2} - y {}^{2} = (x - y)(x + y)[/tex]

2)

[tex]75x {}^{2} - 27y {}^{2} = (5 \sqrt{3} x - 3 \sqrt{3} y)(5 \sqrt{3} x + 3 \sqrt{3} y)[/tex]

3)

[tex]z {}^{2} + 12z + 36[/tex]

[tex]z {}^{2} + 6z + 6z + 36[/tex]

[tex]z(z + 6) + 6(z + 6)[/tex]

[tex](z + 6)(z + 6)[/tex]

[tex](z + 6) {}^{2} [/tex]

4)

[tex]4f {}^{2} + 18f + 18f + 81[/tex]

[tex]2f(2f + 9) + 9(2f + 9)[/tex]

[tex](2f + 9)(2f + 9)[/tex]

[tex](2f + 9) {}^{2} [/tex]

5)

[tex]49a {}^{2} - 14a + 1[/tex]

[tex](7a - 1) {}^{2} [/tex]

6)

[tex]x {}^{4} - 16[/tex]

[tex](x {}^{2} - 4)(x {}^{2} + 4)[/tex]

Answer:

1,400

Step-by-step explanation:

700 divided by 6 equals 116.66 and 116.66 times 12 is 1,399.92. But you have to round the decimal to make it accurate which you'll get 1,400.

Hope this helps.

The speed of Jim if he biked the same distance in 15 minutes is 16 mph

Speed is the distance covered at a particular time. Therefore,

speed = distance / time

The distance in the first journey can be calculated as follows:

speed = 12 mph

time = 20 minutes  = 0.3333 hours

12 = x / 0.333

distance = 0.333 × 12 = 3.9996 miles

Therefore, the speed of Jim if he biked the same distance in 15 minutes can be calculated as follows:

15 minutes = 0.25 hours

speed = 3.9996 / 0.25

speed = 15.9984

speed = 16 mph

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Answer:

The speed of Jim if he biked the same distance faster than Jen. In 15 minutes is 16 mph is Jim’s speed

Step-by-step explanation:

Answer:

Read the explanation

Step-by-step explanation:

look at the photo

The measurements that show equal length is 15 yd and 540 in, 195 ft and 2340 in, 5280 yd and 15840 ft

An equation is an expression that shows the relationship between two or more numbers and variables.

1 ft = 12 in; 1 yd = 3 ft and 1 yd = 36 in.

Hence:

15 yd = 15 yd * 36 in per yd = 540 in

195 ft = 195 ft * 12 in per ft = 2340 in

5280 yd = 5280 yd * 3 ft per yd = 15840 ft

The measurements that show equal length is 15 yd and 540 in, 195 ft and 2340 in, 5280 yd and 15840 ft

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The amount of interest Ryan would earn at the end of 30 years given the interest rate is $69,250.27.

When an account earns an interest that is compounded bimonthly, it means that it earns an interest every 2 months.

The formula that can be used to determine the interest earned is:

Future value - amount deposited

FV = P (1 + r)^nm

FV = 160,000(1.002^180) = $229,250.27

Interest = $229,250.27 -  $160,000 = $69,250.27

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Answer:

[tex]x = -21[/tex]

Step-by-step explanation:

[tex]\frac{294}{x} = -14[/tex]
Cross multiply:
[tex]-14x = 294[/tex]
[tex]x = -21[/tex]

Answer:

$8.75

8.75x3=26.25

Step-by-step explanation:

Answer:

$8.75

Step-by-step explanation:

To find out the unit price, take the whole and divide it by the number of units. In this case the whole cost is $26.25. There are 3 scarves in a whole. Divide $26.25 by 3 to find out the cost of the unit price. It is $8.75. Knowing how to figure out a unit price for something is very useful. For example, if you wanted to buy some Pepsi but didn't know if the 24-pack, 12-pack or 36-pack was a better deal, you can find out the unit price to see which is cheaper. For example, if the 24-pack of Pepsi cost $5, the unit price per can would be .21. A 12-pack at$ 2.75 would be .22 per can. A 36-pack at $6.50 is .18 per can. This tells you that you'd save more money per can if you bought the 36-pack of Pepsi.

Answer:

(2,6)

Step-by-step explanation:

y1 = y2

2x + 2 = - x + 8

2x + x = 8 - 2

3x = 6

x = 2

y1 = y2 = 6

Answer:

B. The lower money factor with AAA Auto will give Jennifer the lowest monthly payment

Considering the p-value of of the test, it is found that the correct option is:

III. A 99 percent confidence interval for the difference in means will contain the value 0.

In this problem, we have that the p-value is of 0.03, hence the confidence interval will contain the value of 0, tested at the null hypothesis, for confidence levels above 97%, hence option III is correct.

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How do I subtract a fraction from a whole number? Take the LCM of denominator of both the fractions (the denominator of whole number is one). Then, in both the numbers divide the LCM by the denominator and multiply the result by the numerator. Subtract the numbers in numerators and you will get your answer.

The equation that can be used to represent Diego's and Lin's savings account is 250 = 40 + 6x and Total savings= 100 + 50x respectively.

let

Diego:

6 months ago = $40

Now = $250

250 = 40 + 6x

250 - 40 = 6x

210 = 6x

x = 210/6

x = $35

Lin:

Now = $100

Future = $50 per month

let

Total savings= 100 + 50x

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Answer:

Step-by-step explanation:

1) Divide the diameter in half to make the radius, which equals 2.85 as r.

2) Plug in the radius(r) and height(h) with the correct numbers.

3) Simply solve

V = π(2.85)² × 13.1 ÷ 3

V= 25.52 × 13.1 ÷ 3

V= 334.312 ÷ 3

V= 111.4373+

V≈ 111.43 1) Divide the diameter in half to make the radius, which equals 2.85 as r.

2) Plug in the radius(r) and height(h) with the correct numbers.

3) Simply solve

V = π(2.85)² × 13.1 ÷ 3

V= 25.52 × 13.1 ÷ 3

V= 334.312 ÷ 3

V= 111.4373+

V≈ 111.43 in^3

Step-by-step explanation:

please mark me as brainlest

The expressions that represent the total number of berries in the Berry Blast smoothies that Luther made today is 3 + b = 20

Let the number of strawberries be x

Let the number of b berries be y

If at work today, he made 20 Berry Blast smoothies, then;

x + y = 20

SInce x = 3 and y = b, then;

3 + b = 20

The expressions that represent the total number of berries in the Berry Blast smoothies that Luther made today is 3 + b = 20

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Answer: Firstly in this question, we need to solve for

α

which is the part of the distribution of which we not looking for.

we can do this with the sum:

α

=

1

−

0.76

=

0.24

as

0.76

=

76

%

we also know that our Standard Normal Distribution is symmetric, so we must divide that

α

to be split on either side of our distribution. so we solve for:

α

2

=

0.24

2

=

0.12

then we find a correlating

z

-score for the value

0.12

and we get that

−

z

=

−

1.175

and

z

=

1.175

This becomes easier to understand when visualized, so observe how we do this sum.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\text{Area of trapezoid = $\dfrac{(a+b)*h}{2}$}[/tex]

a and b are the length of the parallel sides.

a = 8 + 4 + 4 = 16 in

b = 8 in

h = height  = 6 in

[tex]Area = \dfrac{(8+16)*6}{2}\\\\\\=\dfrac{24*6}{2}\\\\=24*3\\\\= 72 \ in^{2}[/tex]

Answer:

$6.40

Step-by-step explanation:

2.56 / 16 = 0.16
so 16 cents per oz
16 * 40 = 640