1. You have one-quarter cup of orange juice. Do you have enough to make the recipe? Explain.

2. You have 1/8 ounce of whole wheat grains. How many more ounces do you need to make the recipe?

Answer:

11y-2x= -90

Step-by-step explanation:

for the point (1,-8)

x=1 and y= -8

for the equation,

2x -4y= -11

x= -1/m

m= -1/x

x = -1/ (-11/2 )

m= 2/11

so for the equation,

y-y1= m(x- x1)

y- -8=2/11(x-1)

11(y+8)= 2(x-1)

11y +88= 2x-2

11y-2x= -90

answer :

( 1, 1 / 2 )

explanation :

Midpoint formula :

(x^1, y^1) , (x^2, y^2)

M = ( x^1 + x^2 / 2 ), ( y^1 + y^2 / 2 ).

(x^1, y^1) = (4, 3/4), (x^2, y^2) = (-2, 1/4).

=  ( -2 + 4 / 2,  1/4 + 3/4  / 2 )

= ( 1, 1 / 2 )

Answer:

x = 1.5

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask :)

The solution of the equation, (3/2)·(4·x - 2) - 3·x = 5 - (x + 2) is; x = 1.5

An equation is a mathematical statement indicating equivalence between two expressions.

The equation (3/2)·(4·x - 2) - 3·x = 5 - (x + 2) can be solved step by step as follows;

Therefore, the solution of the equation is; x = 6/4, or x = 1.5

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Answer:

$12.90

Step-by-step explanation:

To solve, multiply the cost before tax with tax, and then add the number gotten to the original amount.

12 x 7.5% = 12 x 0.075 = 0.9

12 + 0.9 = 12.9

$12.90 is your answer.

~

Answer:

After tax, the price should be $12.90

Step-by-step explanation:

multiply 12 by 1.075

Answer:

[tex]-7[/tex]

Step-by-step explanation:

So the first and last step is to add.

[tex]-36+29[/tex]

And the answer to that is

[tex]-7[/tex]

Hope this helps!

Answer:

339.42m

Step-by-step explanation:

Circumference of a circle=2x22/7x54

=339.42m

Answer:

circumference of circle = 2πr

radius = 54 m

circumference= 2 * 22/7 * 54

= 339.427 m

The exponent 5¹⁵ is equivalent to the given expression 5¹⁰ · 5⁵. The correct answer would be an option (C).

The exponent of a number represents the total time required to multiply that number. 8 8 8 may be stated as 83 since 8 is multiplied by itself three times. In this case, 3 is the 'exponent' or 'power' that indicates how many times 8 is multiplied by itself, and 8 is the 'base' that represents the integer being multiplied.

The exponent expression is given as:

5¹⁰ · 5⁵

We have to determine the equivalent exponent to the given expression.

As per the question, we have

5¹⁰ · 5⁵

Simplify using the exponent rule with the same base,

5¹⁰⁺⁵

Adding the powers in the expression, we get

5¹⁵

This exponent is equivalent to the given expression.

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Answer:

91.06

Step-by-step explanation:

Step 1:

810.434 ÷ 8.9

Answer:

91.06

Hope This Helps :)

I dont really know how to give an explanation in detail but the answer is 32.40

5400 x .06 x 1

(turn the percent into a decimal)

The interest should be paid for 1 year is $324.

The formula for Simple Interest

SI = ( PRT)/100

where, P- Principal

R- Rate

T- Time

Given:

P = $5400

R= 6%

T= 1 year

So, Simple Interest

= PRT/100

= 5400 x 6 x 1 /100

= $324

Hence, the interest should be paid for 1 year is $324.

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Answer:

22b - 15

Step-by-step explanation:

add the dependent variable together

Answer: 23b- 15

Explation:

Answer:

d=2√13

Step-by-step explanation:

B(1,4) T(4,6)  what is BD

find BT

d=√(x2-x1)²+(y2-y1)²

d=√(4-1)²+(6-4)²

d=√3²+2²

d=√9+4

d=√13 this is haf the distance

BD=2d=2√13

Answer:

2754

Step-by-step explanation:

=2550

108%=x

108x2550/108

275400/100

2754

Answer:

[tex]{}[/tex]                                                                                                    XY                [tex]\overline {XY}[/tex]

Represent a distance [tex]{}[/tex]                                                                 √

Represent a segment [tex]{}[/tex]                                                                                     √

Represent a numerical value [tex]{}[/tex]                                                     √

Represent a geometric figure                                                                           √

Can be found by applying the ruler postulate  [tex]{}[/tex]                         √

Can be be duplicated with a compass and a straight edge                          √

Step-by-step explanation:

The difference between XY and [tex]\overline {XY}[/tex] are that the points XY represents the distance between two points having a numerical value whose value can be found by using a ruler to find difference in the numbers on the ruler that coincides with the points, while

Answer:

2⁴

Step-by-step explanation:

4² would be 4x4 not 2x2x2x2

2x2x2x2 would be 2⁴.

Answer:

b=7a

Step-by-step explanation:

11a+b/3=6a

or, 11a+b=6a*3( when there is divide in one side it will be multiply when it is in another side)

or, 11a+b=18a(multiplying the number)

or, b=18a-11a( when there is + sign in one side it will be - sing in another side )

or, b=7a

Answer:

A

Step-by-step explanation:

When you simplify it becomes -2x-10 = -2x-10

Then when you solve  there is a 0 infront of the x so it becomes 0x = 0

Answer:

the anser is A because.. when you simplify it becomes -2x-10 = -2x-10

Then when you solve  there is a 0 infront of the x so it becomes 0x = 0

Answer:

X=35°

Step-by-step explanation:

Opposite angles x=35°

Answer:

35°

Step-by-step explanation:

The 2 angles that measure 35 degrees and x degrees are vertical angles.

Therefore, they are congruent, and we can set them equal to each other.

x = 35°

So, x is equal to 35 degrees.

Answer:

i think it's B

hopes this helps

Answer:

A. <O

Step-by-step explanation:

If it was <O, you wouldn't know which angle it was talking about

Answer:

2nd one

Step-by-step explanation:

life's a gamble

Answer:

The length of row = 3.2 inches.

Step-by-step explanation:

The length of a chocolate = 4/5 inch

Total number of chocolate pieces placed = 4

Now we have given the length of one chocolate and it is required to find the total length of the row when four chocolates are placed end to end. So in order to find the length of the chocolate row we have to multiply the size of one chocolate by the number of chocolates.

The length of row = Length of one chocolate × number of chocolates

The length of row = 4/5 × 4

The length of row = 3.2 inches.

The piece of chocolate and the number of chocolates in a row can be represented using equations.

A row of chocolate is 3.2 inches long

Given that:

[tex]L = \frac 45[/tex]  ---- Length of a piece

[tex]n =4[/tex] --- number of chocolate pieces

The length of the chocolate in a row is calculated as follows:

[tex]Length = n \times L[/tex]

So, we have:

[tex]Length = 4 \times \frac 45[/tex]

[tex]Length = 4 \times 0.8[/tex]

[tex]Length = 3.2[/tex]

Hence, a row of chocolate is 3.2 inches long

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Answer:

2,800

Step-by-step explanation:

3·1000=3000

2·100=200

3000-200= 2,800

Answer: Quadrant 2

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

Explanation:

Check out the diagram below. An example point in the third quadrant is (-2,-5). This quadrant is the southwest quadrant. Reflect the example point over the x axis (aka the line y = 0) and we get (-2,5). This is shown when we go from point A to point B in the diagram.

The reflection rule is [tex](x,y) \to (x,-y)[/tex] showing that only the y coordinate changes from y to -y. If y is negative, then flip to positive, or vice versa. The x coordinate stays the same.

The point started in quadrant 3 and it moves to quadrant 2 after the reflection over the line y = 0.

Side note: all points on the line y = 0 have a y coordinate of 0

Answer:

c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hopefully this helps you :)

I took the test

Answer:

[tex]x=48[/tex]

Step-by-step explanation:

[tex]\displaystyle{\frac{8(6-x)}{7}={-x}}[/tex]

Multiply both sides by 7:

[tex]\displaystyle{8(6-x)=-7x}[/tex]

Distribute the left side:

[tex]\displaystyle{48-8x=-7x}[/tex]

Add 8x to both sides:

[tex]48=x[/tex]

Answer:

Look at the step by step

Step-by-step explanation:

3 cans of soup: 1500 mg of sodium

4 frozen dinners: 2600 mg of sodium

together they are 4100 mg of sodium

How many milligrams of sodium are there in  c cans of soup: [tex]500c[/tex]

How many milligrams of sodium are there in  f frozen dinners: [tex]650f[/tex]

There is 4100 mg of sodium together in 3 cans and 4 frozen dinner. 500c milligrams of sodium is there in  c cans of soup and 650f milligrams of sodium is there in f frozen dinners

An expression is combination of variables, numbers and operators.

Each can of soup has 500 mg of sodium and

each frozen dinner has 650 mg of sodium

1 can =500mg

frozen dinner = 650 mg

3 cans=3(500)=1500 mg

4 frozen dinner = 4(650) mg=2600 mg

Together there is 1500+2600= 4100 mg of sodium

500c milligrams of sodium is there in  c cans of soup

650f milligrams of sodium is there in  f frozen dinners

Hence, there is 4100 mg of sodium together in 3 cans and 4 frozen dinner. 500c milligrams of sodium is there in  c cans of soup and 650f milligrams of sodium is there in f frozen dinners

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Answer:

________________

I think it may be 31%

Answer:

50%

Step-by-step explanation:

There are a total of 640 fries.

40% of them are crispy. Therefore, let C be the amount of crispy fries:

[tex]C=0.4(640)=256[/tex]

Thus, the amount of soggy fries S would be:

[tex]S=640-256=384[/tex]

The total of the crispy fries and the soggy fries is the sum of the fries not on the floor and on the floor. Let F denote on the floor and let NF denote not on the floor. Thus:

[tex]C=C_F+C_{NF}[/tex]

C is 256:

[tex]256=C_F+C_{NF}[/tex]

Same thing for soggy fries S:

[tex]S=S_F+S_{NF}\\[/tex]

S is 384, thus:

[tex]384=S_F+S_{NF}[/tex]

We are told that 80% of the soggy fries are on the floor. Therefore:

[tex]S_F=0.8(384)=307.2[/tex]

This means that the amount of soggy fries not on the floor is:

[tex]S_{NF}=S-S_F\\S_{NF}=384-307.2=76.8[/tex]

We are given that 32% of all the fries are not on the floor. Therefore:

[tex]NF=0.32(640)=204.8[/tex]

The total amount of fries not on the floor is the sum of the amount of crispy fries and soggy fries not on the floor. Thus:

[tex]NF=C_{NF}+S_{NF}[/tex]

We know that NF is 204.8 and that S(NF) is 76.8. Substitute:

[tex]204.8=C_{NF}+76.8[/tex]

Subtract 76.8 from both sides:

[tex]C_{NF}=128[/tex]

This means that out of the 256 crispy fries, only 128 of them are not on the floor.

This means that the amount on the floor is 256-128, or also 128.

Thus, the percentage of crispy fries on the floor is:

[tex]=\frac{128}{256}=50%[/tex]

Our answer is 50%

Answer:

0.140 is represented using 40 thousandth blocks and 100 hundredth blocks

Step-by-step explanation:

Base 10 blocks are blocks in set of four which can be used together to represent any number. Also base 10 blocks can be used to perform mathematical computations like addition, subtraction, addition, division, area and many more.

We have to represent 0.140 using hundredths and thousandths blocks.

0.140 = 140 × 10⁻³ = 40 × 10⁻³ + 100 × 10⁻²

10⁻³ represents the thousandth block and 10⁻² for the hundredth. Hence:

0.140 = 140 × 10⁻³ = 40 × 10⁻³ + 100 × 10⁻²  = 40 thousandth + 100 hundredth

0.140 is represented using 40 thousandth blocks and 100 hundredth blocks