Abigail must move a bucket of tomatoes from her garden to her kitchen, as represented on the grid below.
y
Kitchen
L(5, 1)
-1 0
2
Garden
-(-3, 4)

Answer:

Apples cost 50 cents and bananas 25 cents.

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Step-by-step explanation:

1) Assign variable (x,y) to apples and bananas.

x=apples

y=bananas

2) Write system of equations for Alice and Betty.

Alice: 4x+8y=4

Betty: 6x+10y=5.5

3) Use substitution, elimination, or graphing to solve for x and y.

x=0.5

y=0.25

The length of side AD that will allow the angle at B to be bisected is 3m, the correct option is D.

According to the angle bisector theorem, the angle bisector of an angle of a triangle bisects the opposite side into two parts that are proportional to the other two sides.

The sides of the triangle are 5,7 and (x+4) m.

The BD will be the angle bisector of angle B only if

x/4 = 5/7

x = 5 *4 / 7

x = 20/7 = 2.85 ≈ 3m

To know more about Angle Bisector Theorem

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Answer:

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line

Step-by-step explanation:

u single?

Answer:

mC=mA - base angles of an isosceles triangle

mA=68

[tex]\huge \bf༆ Answer ༄[/tex]

The Angles BAF and CEF are equal to one another, because they form pair of Alternate Interior Angles ~

So, the Correct choice is ~

[tex]꧁  \large \sf{itz0kaul } \: ꧂[/tex]

Answer:

36

Step-by-step explanation:

First, you subtract 4 by 36 which is 32. Then, divide 32 by 8 which equals 4 therefore the answer is 36.

Answer:

5.76 cm

Step-by-step explanation:

When we have an equilateral triangle, we can deduce that radius of inscribed circle is ,

R = side * sqrt (3) / 6

Here, side is 20 cm.

And distance from center of inscribed circle to side of triangle is nothing but radius of inscribed circle.

So, R = 20 * sqrt (3) / 6 = 20 * 1.73 / 6 = 5.76 cm

Answer:

8:10

Step-by-step explanation:

8 parts for brown sugar and 10 parts flour.

In simplest, 4:5 (divide 8 and 10 by 2)

a. Slope 2 and y-intercept 3

Slope-intercept form: [tex]\bold{y=2x+3}[/tex]

Standard form: [tex]\bold{2x-y=-3}[/tex]

b. Slope [tex]\frac{3}{5}[/tex] and y-intercept -6

Slope-intercept form: [tex]\bold{y=\frac{3}{5}x-6}[/tex]

Standard form: [tex]\bold{3x-5y=30}[/tex]

c. Slope [tex]-\frac{3}{2}[/tex] and y-intercept 9

Slope-intercept form: [tex]\bold{y=-\frac{3}{2}x+9}[/tex]

Standard form: [tex]\bold{3x+2y=18}[/tex]

d. Slope -3 and y-intercept 0

Slope-intercept form: [tex]\bold{y=-3x}[/tex]

Standard form: [tex]\bold{3x+y=0}[/tex]

Answer:

y=1.75x+3

Step-by-step explanation:

Using slope-intercept form, we can use our initial value of 3, plus our 1.75 per mile, or x, since miles are calculated per hour

Answer:

y=1.75x+3

Step-by-step explanation:

Do you mean x amount of miles?  if you do, you would add 3 because 3 is the amount of money that you have to pay no matter how far you go.  You would get 1.75x because the number of miles you travel in the taxi, you would have to multiply that number by 1.75 to get the amount of money you would have to pay in addition to the 3 dollars that you would definitely have to pay.

7/8 minus1/4 minus 1/2

7/8 - 1/4 - 1/2 =

(1 × 7)/(1 × 8) - (2 × 1)/(2 × 4) - (4 × 1)/(4 × 2) =

7/8 - 2/8 - 4/8 =

(7 - 2 - 4)/8 =

1/8

the answer is 1/8

Answer:

60

Step-by-step explanation:

edge

Answer:

850x = y

Step-by-step explanation:

Answer:

3840

Step-by-step explanation:

320 boxes; 12 donuts in each box

This is a multiplication problem.

320 × 12 = 3840

Answer: 3840

Answer:

[tex]3(5x + 4) = 3 \times 5x + 3 \times 4 \\ = 15x + 12 [/tex]

Answer:

15x+12

Step-by-step explanation:multiply 5x + 4 by 3 hence answer is 15x +12

Step-by-step explanation:

complementary angles mean that together they have 90°.

that means that sin(A) = cos(C) and vice versa.

so, the values are the same

cos(C) =24/25

sin(A) = 20/29

Answer:

5.5 ft

Step-by-step explanation:

because its 4ft for every 1ft there's a ratio of 1:4 so 22 represents the 4 part of the ratio, hence 22 divided by 4 gives us 5.5 on the base

Answer:

3rd option

Step-by-step explanation:

The angle opposite the shortest side is the smallest

The angle opposite the longest side is the largest

Shortest side is AC with ∠ B opposite , thus smallest

Longest side is AB with ∠ C opposite, thus largest

Then order of angles from least to greatest is

∠ B , ∠ A , ∠ C

Answer:

(-4,2)

Step-by-step explanation:

See attachment

Answer:

Let the no of quarters be x

According to given,

x + (x+4) + (x+4)/2 = 6

x + (x+4) + (x + 8)/2 = 6

x + x + 4 + (x + 8)/2 = 6

[2 (2x + 4) + (x + 2)]/2 = 6

4x + 8 + x + 2 = 6 × 2

5x + 10 = 12

5x = 12 - 10

5x = 2

x = 2/5

•°• x = 0.4

1 doller = 4 quarter

0.4 doller = p

p = 0.4 × 4 = 1.6

•°• There are 1.6 quarter.

ATQ

[tex]\\ \sf\longmapsto x+x+4+2(x+4)=6[/tex]

[tex]\\ \sf\longmapsto 2x+4+2x+8=6[/tex]

[tex]\\ \sf\longmapsto 4x+12=6[/tex]

[tex]\\ \sf\longmapsto 4x=-6[/tex]

[tex]\\ \sf\longmapsto x=-3/2[/tex]

[tex]\\ \sf\longmapsto x=|-1.5|[/tex]

[tex]\\ \sf\longmapsto x=1.5[/tex]

Answer:

$2.50

Step-by-step explanation:

11 9/10 + 5 6/10 = 16 15/10 or 16 + 1.50 = 17.50

20 - 17.50 = 2.50

Answer:

The coefficients are 5, -4, and -2.

Step-by-step explanation:

Coefficients refer to the numbers that are directly in front of variables. (Variables are any given letter, in a math problem, that represent unknown number values).

With this being said, the coefficients in this expression are 5, -4, and -2.

Hope this helps you :)

Answer:

we know that

Hillary

swims every 6 days---> Multiples of 6---> 6-12-18-24-30-36-42-48-54

runs every 4 days-----> Multiples of 4----> 4-8-12-16-20-24-28-32-36-40-44-48

cycles every 16 days---> Multiples of 16---> 16-32-48-64

therefore

In 48 days she will do all three on the same day.

the answer is

48 days

Step-by-step explanation:

Answer:

A and C

Hope this helps!!

If I am wrong please tell me I enjoy learning from my mistakes:)

[tex]\\ \sf\Rrightarrow 0.02349[/tex]

[tex]\\ \sf\Rrightarrow 0.0235\times 10^{-1}[/tex]

[tex]\\ \sf\Rrightarrow 2.35\times 10^{-3}[/tex]

Option C is correct

[tex]0.002349 \\ estimate \: \: \: it \\ = 0.00235 \\ = 0.00235 \times 1000 \\ = 2.35 \\ therefore \\ 0.00235 \\ = 2.35 \times \frac{1}{1000} \\ = 2.35 \times {10}^{ - 3} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

x = 403

Step-by-step explanation:

We can start off by rewriting the equation as

x - 28 = 375

Next, we can further restate it as

375 + 28 = x

So, all we need to do to find the value of x is add 375 + 28, which is 403

Student Error

The student made the error of rewriting the equation incorrectly.

He/She/They subtracted 28 from 375 instead of adding.

Thus, they got 347

Answer:

What was going on in Britain during the time just before Shakespeare lived?

Elizabeth had settled the religious question by establishing the Church of England as the official religion of the country, insisting on church services in English, the English Bible and prayer book in churches etc, but not going as far in extreme Protestantism as, for instance, the Puritans would have liked her to do.

Step-by-step explanation:

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The period from 1550-1650 in British history was a time of significant political, social, and cultural change.

England, which had absorbed Wales under Henry VIII in the 16th century, merged with Scotland in 1707 to form a new sovereign state known as Great Britain.

Here are some key events and factors that were happening during the time just before, during, and just after Shakespeare lived:

Thus, the period from 1550-1650 was a time of significant change and upheaval in England, with political, religious, and economic developments shaping the lives of its people.

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Answer:

The Answer is "4 inches per year"

Step-by-step explanation:

To find the Average Rate of Change, you use:

[tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]

So when you insert the numbers from the table, you get:

[tex]\frac{45-37}{5-3}[/tex]

After solving the answer you get is 4.  So the avg rate of change is 4 inches per year.