Scott and Ashley each improved their yards by planting daylilies and ivy. They bought their
supplies from the same store. Scott spent $170 on 12 daylilies and 13 pots of ivy. Ashley spent
$172 on 14 daylilies and 2 pots of ivy. What is the cost of one daylily and the cost of one pot of
ivy?

Answer:

cost of a taco: $1.25

cost of a burrito: $2.50

Step-by-step explanation:

Let the cost of a taco be $t and the cost of a burrito be $b.

t +3b= 8.75 -----(1)

4t +2b= 10

Divide both sides by 2:

2t +b= 5

Making b the subject of formula:

b= 5 -2t -----(2)

Substitute (2) into (1):

t +3(5 -2t)= 8.75

Expand:

t +3(5) +3(-2t)= 8.75

t +15 -6t= 8.75

t -6t= 8.75 -15

-5t= -6.25

t= -6.25 ÷(-5)

t= 1.25

Substitute t= 1.25 into (2):

b= 5 -2(1.25)

b= 5 -2.5

b= 2.50

Thus, the cost of a taco is $1.25 and the cost of a burrito is $2.50.

Answer:

XY = 24

Step-by-step explanation:

In similar triangles, the corresponding sides are in same ratio.

[tex]\frac{AC}{XZ}=\frac{AB}{XY}\\\\\frac{x+6}{30}=\frac{16}{2x-4}[/tex]

Cross multiply,

(x + 6 )(2x-4) = 16*30

Use FOIL method

x*2x + x*(-4) + 6*2x + 6*(-4) = 480

2x² - 4x + 12x - 24 = 480  {Combine like terms}

2x² + 8x - 24 = 480

2x² + 8x - 24 - 480 = 0

2x² + 8x - 504 = 0

Divide the entire equation by 2

x² + 4x - 252 = 0

Sum = 4

Product = -252

Factors = 18 , -14   {18 +(-14) = 4  & 18*(-14) = -254 }

x² + 4x - 252 = 0

x² + 18x - 14x - 252 = 0  {Rewrite middle term}

x(x + 18) - 14(x + 18) = 0

(x + 18)(x - 14) = 0

x - 14 = 0           {Ignore x + 18 = 0 as measurement will not come in negative}

x = 14

XY  = 2x - 4

    = 2*14 -4

     = 28 - 4

       = 24

Answer:

B)

Step-by-step explanation:

exponential function given by:

[tex] \displaystyle f(x )= a \cdot{b}^{x} [/tex]

where:

since the function crosses y-axis at (0,4) point

to find a we can consider (1,8) point it tells us when x is 1 then y is 8 thus:

[tex] \displaystyle 8= 4 \cdot{b}^{1} [/tex]

[tex] \displaystyle 8= 4 \cdot{b}^{} [/tex]

divide both sides by 4:

[tex] \displaystyle \boxed{b = 2}[/tex]

altogether substitute:

[tex] \displaystyle f(x)= 4 \cdot{2}^{x} [/tex]

hence our answer is B)

Answer:

[tex]\sqrt[3]{4}[/tex]

Step-by-step explanation:

To solve this we need to take the square root of both sides with a certain degree.

[tex]4^6 = a^{18}[/tex]

We can take the root of both sides with a degree of 18.

[tex]\sqrt[18]{4^6} = \sqrt[18]{a^{18}} \\(4^6)^{\frac{1}{18} } = a\\a = 4^{\frac{6}{18} } = 4^{\frac{1}{3} } = \sqrt[3]{4}[/tex]

It's helpful to understand that when a number has its square root taken with some degree n. The square root can be represented as just the value raised to the (1/n) power.

It's also helpful to understand that when you raise something to the power of another power, you can simply multiply the powers together. For instance (2^3)^5 = 2^15

The polyhedron that Elias could have made is a TRIANGULAR BASED PRISM.

Triangular based prism are as described below:

A triangular-based prism is known to consists of 9 edges and 5 faces as shown in the diagram below.

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Answer: c

Step-by-step explanation:

Answer:

wqhg

Step-by-step explanation:

its situated in u.s, in quahog , rhode island

Answer: 3/2

Step-by-step explanation:

Given

6/10 + 9/10

Add the numerator together

= (6 + 9) / 10

Simplify by addition

= 15 / 10

Simplify to simplest form by division

= (15 ÷ 5) / (10 ÷ 5)

= 3 / 2

Hope this helps!! :)

Please let me know if you have any questions

Hello there! The answer is:

3/2 OR  1 1/2

Step-by-step explanation:

With like denominators we can add the numerators.

6 + 9 = 15.

Then that answer over the denominator which gives us 15/10. Then simplifying the answer.

That gives us: 3/2 = 1 1/2

I hope this answer helps you out. Let me know if you have any questions/concerns.

Answer:

Step-by-step explanation:

Jocelyn was attempting to find out how much she will be charged per download. She has the fraction upside down. To find the amount of money per download, the fraction should be $12/3downloads to get $4/1download. That is the slope of the equation, the rate of change or, for us, the fact that your cost will go up $4 for every single video you download. The equation would then be

y = 4x

The way she has it, we are paying only a quarter for a download. If that be the case, for 3 downloads we would only be paying .75, but it says we pay $12, so we know something is wrong right there.

Answer:

The answer is A

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

x=16

x(16)-8=8

Answer:

here's the answer to your question

Answer:

B. First quartile

Step-by-step explanation:

The first quartile is the first 25% of a line graph, and the median of the lower half of a data set would be the median of the median, which means it would split the graph at 25%

Answer:

1/6

Step-by-step explanation:

you divide y by x

y ÷ x

each column when you you divide y by x the answer is 1/6

Answer:

f(-3) = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x²

Step 2: Evaluate

Answer:

132.7 feet.

Step-by-step explanation:

tan 37 = height of cliff / distance of the ship

=  100/d

d = 100/tan37

= 132.7 feet.

Answer:

66.4

Step-by-step explanation:

tan(39)=x/82

x=tan(39)×82

x=66.4 (rounded to the nearest tenth)

Answered by GAUTHMATH

Answer:

(8, -7)

Step-by-step explanation:

Hi there!

We are given this system:

y=-3x+17

2x+3y=5

And we want to solve the system

Let's solve it by substitution.

In the first equation, we are given y=-3x+17, which we can substitute -3x+17 as y into the second equation

2x+3(-3x+17)=5

Now do the distributive property

2x+-9x+51=-5

Combine like terms

-7x+51=-5

Subtract 51 from both sides

-7x=-56

Divide both sides by -7

x=8

Now substitute 8 as the value of x in y=-3x+17 to find the value of y

y=-3(8)+17

y=-24+17

y=-7

The answer is x=8, y=-7. If you need it as a point, it's (8, -7)

Hope this helps!

Answer:

Sorry if i'm wrong.

=6x² + 16x - 2

Answer:

B. 1 1/2

Step-by-step explanation:

The post-image is clearly larger than the pre-image. The ratio of the post to the pre is 9 : 6 and 10 : 15, which are equal to 3 : 2, and equal to 1 1/2.

=============================================================

Explanation:

1/2 = 4/8 after multiplying top and bottom by 8

So the mixed number 7  1/2 is the same as 7  4/8

We can convert to an improper fraction like so

7  4/8

7 + 4/8

7*(8/8) + 4/8

56/8 + 4/8

(56+4)/8

60/8

Notice how dividing 60 over 8 leads to 7 remainder 4. Think of it like having 60 cookies and you want to share them amongst 8 friends. Each friend gets 7 whole cookies (7*8 = 56 taken so far) and then we have 60-56 = 4 left over as the remainder.

Through similar steps, you should find that the mixed number 1  7/8 converts to the improper fraction 15/8.

-----------------------------

To rephrase the problem with improper fractions would be to say:

"The electrician needs to buy 60/8 feet of wire. There are 15/8 feet of wire in each spool. How many spools should the electrician buy?"

Let x be the answer to that question.

We multiply the number of spools (x) by the amount of feet of wire per spool (15/8) to get the expression (15/8)x

Set this equal to the target 60/8 and solve for x

(15/8)x = 60/8

15x = 60 .... multiply both sides by 8 to clear out the fractions

x = 60/15

x = 4

The electrician needs to buy exactly 4 spools

-----------------------------

A different approach could have us convert each mixed number into decimal form

7  1/2 = 7 + 1/2 = 7 + 0.5 = 7.5

1  7/8 = 1 + 7/8 = 1 + 0.875 = 1.875

So the electrician needs to buy 7.5 ft total and each spool has 1.875 ft of wire.

Using the same idea as before, we would then have,

1.875x = 7.5

x = (7.5)/(1.875)

x = 4

that's a point slope form so

y +5 = 2(x -4)

Answer:

(x-y)^2

p^2+p^2

Step-by-step explanation:

^2 means square

Answer:

see explanation

Step-by-step explanation:

x² - y² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

x² - y²

= (x - y)(x + y)

------------------------------

(p + p)²

= (2p)²

= 2p × 2p

= 4p²

Answer:

easy

Step-by-step explanation:

8

Answer:

its 8

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Filling out the tree diagram,

On the first throw, there is a 4/4 = 100%* chance Jennifer hits or misses. Therefore, the chance she misses is equal to the difference between

(chance she hits or misses) - (chance she hits) = 4/4 - 1/4 = 3/4

For the second throw, the chance she hits is independent of whether she hits or misses on the first throw. This means that it does not matter whether she hits or misses on the first throw; her chance to hit the second throw will always be 1/3. Therefore, 1/3 can go into the hit category on each hit line on the second throw, and in the miss category, we can put

100% - 1/3 = 1 - 1/3 = 3/3 - 1/3 = 2/3

For Jennifer to hit the bullseye at least once, she must either:

- Hit and then hit

- Hit and then miss

- Miss and then hit

From this, we can determine that if Jennifer hits the first bullseye, she will have hit it at least once, no matter what. Therefore, Jennifer must either:

- Hit the first one

- Miss and then hit

In probability, OR /either means that we add the probabilties. The probability that she hits the first one is 1/4, and the probability that she misses and then hits is

(probability she misses the 1st one) * (probability she hits the second one). We know to multiply here because both scenarios must happen, and for AND probabilities, we multiply. We thus have

(3/4) * (1/3) = 3/12 = 1/4 as the probabilty that she misses then hits, and 1/4 as the probability that she hits the first one. We add these up to get 1/4 + 1/4 = 2/4 = 1/2 as our probability that she hits the bullseye at least once

* we know 4/4 = 100% because 100% = 1, and anything divided by itself is equal to 1.

Answer:

-11/6

Step-by-step explanation:

To find the slope, we use the formula

m = ( y2-y1)/(x2-x1)

   = ( 8- -3)/( -6 - 0)

   = (8+3)/(-6-0)

  = 11 / -6

 = -11/6

Answer:

X = 50; Y = 50

Answers are the same by following the correct order of operations.

Step-by-step explanation:

This problem deals with the correct order of operations. Multiplication is done before addition.

22 * 2 + 6 = X

44 + 6 = X

X = 50

6 + 22 * 2 = Y

6 + 44 = Y

Y = 50

The answers are the same despite the order in which the operations were written since by following the correct order of operations, you must do the multiplication first in each chase.

Answer:

E:0.9744

Step-by-step explanation:

Answer: E) 0.9744

Explanation:

This is something you'll need a calculator for. As far as I know, there isn't a clean formula that will allow you to compute this by hand, and get something like sqrt(3)/2. There is a way to find the decimal value by hand, but it will require knowledge of Taylor polynomials and it will take a very long while to compute the value. So again, it's better to use a calculator. When using a calculator, make sure it's in degree mode. You can check by computing cos(60) and you should get 0.5

Answer:  1 unit

Explanation:

The diameters are 6 and 8, which cut in half to 3 and 4 respectively.

The difference in these radii values is 4-3 = 1.

This is the distance from one circle's edge to the other circle's edge, such that we're on the same line that goes through the center of the circles. This is the gap width or ring width so to speak.

Answer:

x³-7x-6

Step-by-step explanation:

Find the products of the factors

(x+1)(x+2)(x-3)

x²+3x+2(x-3)

x³+3x²+2x-3x²-9x-6

x³-7x-6

Answer:

A and D

Step-by-step explanation:

The two triangles that are congruent by ASA is discussed below.

Two figures are said to be "congruent" if they can be positioned perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. "Congruent" refers to things that are precisely the same size and shape.

Angle-Side-Angle refers to the ASA Congruence rule.

According to this rule, two triangles are said to be congruent if any two of their respective angles and the side that is included between them are equal to the corresponding angles and the included side of the other triangle.

For example, there are ABC and DEF in which ∠ B = ∠ E, ∠ C = ∠ F, and BC = EF

Then, the triangle that Δ ABC ≅ Δ DEF by ASA congruence rule.

Learn more about Congruency here:

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