Assessment 1
4. Use the recipe shown in the table to answer the questions below.
Use pictures, tables or number
sentences to solve the task.
Grandma's Recipe for Su
ecipe for Sugar Cookies
1% cups butter
2 cups sugar.
4 eggs
4 teaspoon baking powder
1 YA cups flour
14 teaspoon salt
a) How many cups of sugar are needed for each egg? How do you know?
​

Expression: 45+(5 x w)

Hope this helps man.

The expression for the number of dollars in Michael's savings account after w week's will be;

⇒ y = $5w + $45

Where, y is total amount and w is number of weeks.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Michael starts with $45 in his savings account and adds $5 to the account each week .

Now,

Since, Michael starts with $45 in his savings account and adds $5 to the account each week .

Hence, After w weeks the total amount (y) is,

⇒ y = $45 + $5w

Thus, The expression for the number of dollars in Michael's savings account after w week's will be;

⇒ y = $5w + $45

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Answer:

m = 88

Step-by-step explanation:

The mean of a set of data is calculated using the formula

mean = [tex]\frac{sumofdata}{count}[/tex]

hence

[tex]\frac{12+10+7+8+m}{5}[/tex] = 25 ( multiply both sides by 5 )

37 + m = 125 ( subtract 37 from both sides )

m = 88

The answer is 24% I hope this helps : )

For this case we must make a rule of three:

$ 46 -----------------> 100%

$ 35 -----------------> x

Where "x" represents the percentage of the discounted cost.

[tex]x = \frac {35 * 100} {46}\\x = 76[/tex]%

We subtract to know how much was the discount percentage:

100% -76% = 24%

Thus, the discount percentage was 24%

ANswer:

24%

Answer:

(C) [tex]110^{\circ}[/tex].

Step-by-step explanation:

Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle, therefore

[tex]{\angle}FED=90^{\circ}[/tex].

Now, it is given from the figure that [tex]{\angle}FEP=35^{\circ}[/tex], therefore

[tex]{\angle}FED={\angle}FEP+{\angle}DEP[/tex]

[tex]90^{\circ}=35^{\circ}+{\angle}DEP[/tex]

[tex]{\angle}DEP=55^{\circ}[/tex]

Now, we know that The angle subtended at the center of a circle is double the size of the angle subtended at the edge from the same two points, therefore

[tex]{\angle}PCD=2{\angle}PED[/tex]

[tex]{\angle}PCD=2(55^{\circ})[/tex]

[tex]{\angle}PCD=110^{\circ}[/tex]

Thus, the measure of arc PD is [tex]110^{\circ}[/tex].

Hence, option (C) is correct.

The measure of arc PD is 110. So, The correct option is option C.

Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle, therefore

90° = 135° + ∠DEP

∠DEP = 50°

Now, here is given,

∠FEP = 35°

∠FED = ∠FEP + ∠DEP....(1)

Plug the value of ∠FEP = 35° in equation (1),

∠FED = 90

90 = 35 + ∠DEP

∠DEP = 55

∠PCD = 2∠PED

∠PCD = 2 (55)

∠PCD = 110

Therefore, the measure of arc angle PCD is 110.

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When the input is -1, the output is 3

The answer is 3

In the given graph, the value of y at x = - 1 is 7.

This means that when the input x is - 1, the corresponding output y is 7. The graph visually represents the relationship between x and y, where each point on the graph corresponds to a specific x - y pair. When x takes the value - 1, the graph intersects the y-axis at the point (- 1, 7), indicating that the output y is 7.

In summary, for x = - 1, the associated output value y is 7, as shown by the graph's plotted point.

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Answer:

5x + 6 : 2x² + 12x

Step-by-step explanation:

Width = 4x

Length = x + 6

Perimeter

= 2(4x + x + 6)

= 2(5x + 6)

Area

= 4x(x + 6)

Ratio of perimeter to area:

= 2(5x + 6) : 4x(x + 6)

= (5x + 6) : 2x(x + 6)

= 5x + 6 : 2x² + 12x

Answer:

(5x + 6) : (2x² + 12x)

Step-by-step explanation:

Perimeter = 2(length + width)

= 2[4x + x + 6]

= 2(5x + 6)

Area = length × width

4x × (x + 6)

4x(x + 6)

Perimeter : Area

2(5x + 6) : 4x(x + 6)

(5x + 6) : (2x² + 12x)

7y+3

combine like terms.

Hey there!

4y + 3y + 8 - 5

COMBINE the LIKE TERMS

= (4y + 3y) + (8 - 5)

= 4y + 3y + 8 - 5

= 7y + 3

Therefore, your answer is: 7y + 3

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

6 families have at least 4 pets

Step-by-step explanation:

Hope it helped you!

Answer:

They have the same measure.

Step-by-step explanation:

M<ABD and M<DBA have the same measure.

Answer:

segment BC is a hypotenuse

Step-by-step explanation:

the longest side of a right triangle, opposite the right angle.

Answer:

$ 1.23

Step-by-step explanation:

We are given that Jenna bought 6 pounds of apples for $7.38 and we are to find the unit price per pound of apples.

To find that out, we will simply divide the total price of apples by the number of pounds she bought.

Unit price per pound of apples = [tex] \frac { 7 . 3 8 } { 6 } [/tex] = $1.23

Answer:

Option D (APEX)

Step-by-step explanation:

L= Student has lice

NL= Student has no lice

PT=Test Shows positive

NT=Test Shows negative

P([tex]\frac{NT}{NL}[/tex]) =0.7708 (Probability that a student has no lice and the test shows negative)

P([tex]\frac{NT}{L}[/tex]) = 0.0108 ( Probability that a student has lice and the test shows negative)

Terms Of Percentages

0.98618219 × 100

=98.6

Therefore your answer is 98.6% (Option D)

APEX

The probability that the student doesn't have lice, given that the student tested negative is P ( A ) = 98.6 %

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that the student doesn't have lice, given that the student tested negative be P ( A )

Now , the equation will be

The probability that a student has no lice and the test shows negative is given by P ( NL ) = 0.7708

The probability that a student has lice and the test shows negative is given by P ( L ) = 0.0108

And , The probability that the student doesn't have lice, given that the student tested negative P ( A ) = P ( NL ) / [ P ( NL ) + P ( L ) ]

On simplifying , we get

P ( A ) = P ( NL ) / [ P ( NL ) + P ( L ) ]

P ( A ) = ( 0.7708 ) / [ 0.7708 + 0.0108 ]

P ( A ) = 0.98618

P ( A ) = 98.6 %

Hence , the probability is 98.6 %

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Answer:

right and obtuse

Step-by-step explanation:

a right triangle has one right angle and two acute angles, and an obtuse triangle has one obtuse angle and two acute ones

i hope that this helps :)

Answer:

9ft*12ft*6ft=648

3*4*2=24

648:24

Multiply your surface area by your cost/ square in. for your current cereal box to find the total cost of packaging. Then do the same with the new measurements for the new container.

Answer:

1. $21.60     2. 64.80

Step-by-step explanation:

I hope this helps :)

Answer: The correct answer would be B.

Step-by-step explanation:

Because....

24 gets the variable because in total that's number of bottles that Marjorie bought. And each day she would open and drink 2 bottles of juice, which is the reason why you are subtracting 24d with 2.

* Hopefully this helps:) Mark me the brainliest:)!!

∞ 234483279c20∞

The answer is To number two is b

Answer:

1/k^4

Step-by-step explanation:

What about it? From least to greatest?

-192, -48, 96, 384

Answer: She makes $1632 a week.

Step-by-step explanation:

You multiply 16 times 32 and get your answer.

Answer:

Step-by-step explanation:

5/8 + 2/8 = 7/8

    2. 2 1/5 = 11/5

11/5 = 88/40

5/8 = 25/40

88/40 - 25/40 = 63/40

For this case we have to, if Sam ran [tex]\frac {1} {4}[/tex]of a mile more than Jose, then, before stopping he ran:

[tex]\frac {5} {8} + \frac {1} {4} = \frac {20 + 8} {32} = \frac {28} {32} = \frac {14} {16} = \frac { 7} {8}[/tex]

I ran [tex]\frac {7} {8}[/tex]miles before stopping.

Now, Jose after resting ran ([tex]2 \frac {1} {5} = \frac {10 + 1} {5} = \frac {11} {5}[/tex]):

[tex]\frac {11} {5} - \frac {5} {8} = \frac {88-25} {40} = \frac {63} {40}[/tex]

Jose ran [tex]\frac {63} {40}[/tex]miles

ANswer:

[tex]\frac {7} {8}\\\frac {63} {40}[/tex]

Answer:

The first step would be to add 3 on both sides of the equation.

Step-by-step explanation:

Given a polynomial or a quadratic equation, the first step in completing the square is to take the constant term to the other side of the equation. In the polynomial given the constant term is -3 which implies that we can add 3 on both sides of the equation in order to eliminate this constant term from the left hand side;

x^2 -x -3 +3 = 0 + 3

x^2 - x = 3

Answer:

The first step of Bao yu is to isolate the constant

Step-by-step explanation:

For using completing the square to solve the polynomial equation, the equation should be of the type [tex]a^2 \pm 2ab +b^2[/tex] that can also be written as:[tex](a\pm b)^2[/tex]

so, for the given equation: [tex]x^2 -x -3 =0[/tex]

The first step should be to isolate the constant:

[tex]x^2 -x = 3[/tex]

Then we have to make the middle term according to 2ab where a = 1x and b= (1/2) i.e, -2(1x)(1/2) = 1x

so,by adding (1/2)^2 on both sides of equation, we can complete the formula:

[tex]x^2 -x = 3[/tex]

[tex]x^2 -2(x)(\frac{1}{2}) + (\frac{1}{2})^2 = 3 (\frac{1}{2})^2[/tex]

Solving we get,

[tex](x- (\frac{1}{2}))^2 = 13/4[/tex]

So, the first step is to isolate the constant.

Answer:

5 weeks

Step-by-step explanation:

So if the plant is 13 inches tall in the beginning every week adds 2 inches.

0 weeks = 13 inch

1st week = 15 inch

2nd week = 17 inch

3rd week = 19 inch

4th week = 21 inch

5th week = 23 inch

So it would take 5 weeks to grow 23 inches

Answer:

5 weeks for the plant to be 23 inches long

Step-by-step explanation:

You could take the size the plant is supposed to be, which is 23 inches long then subtract how tall the plant is which is 13 inches long then divide by 2 because the plant grows 2 inches each week. Or you could use a chart to help you, until you get to 23 inches. please give me the brainliest answer?

1weeks= 13 inches + 2 inches = 15 inches

2weeks= 15 inches + 2 inches = 17 inches

3weeks= 17 inches + 2 inches = 19 inches

4weeks= 19 inches + 2 inches = 21 inches

5weeks= 21 inches + 2 inches = 23 inches

:) Hope this helped!!! Have a good day!!! <3

Answer:

(x + 3)^2 + (y - 4)^2 = 3^2 = 9    This matches Answer A.

Step-by-step explanation:

Start with the standard equation of a circle with center at (h, k) and radius r:

(x - h)^2 + (y - k)^2 = r^2

Here the given point (h, k) is (-3, 4) and the radius is 3.

Substituting these values into the above equation, we get:

(x + 3)^2 + (y - 4)^2 = 3^2 = 9    This matches Answer A.

Answer: (x-3)2 + (y+4)2 =9

Step-by-step explanation:

The simplified form of 18^1/2 is 3√2

Given the exponential expression

18^1/2

According to power law of Indices:

a½ = \sqrt{a}

Applying this law to the given expression;

This can also be written as:

[tex]18^{1/2} =\sqrt{18}[/tex]

Simplify the radical to have:

[tex]\sqrt{18} = \sqrt{9 \times 2} \\\sqrt{18} = 3\sqrt{2}[/tex]

Hence the simplified form of 18^1/2 is 3√2

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Answer:

8.1 ft

Step-by-step explanation:

We can use proportions to solve.  Put the height over the shadow

40 ft          27 ft

---------- = -----------

12 ft           x ft

Using cross products

40x = 12*27

40x =324

Divide each side by 40

40x/40 = 327/40

x = 8.1

The shadow is 8.1 ft

Answer:

b. 3

Step-by-step explanation:

Box J has surface area 2(4.5 ft * 2 ft) + 2(3 ft * 2 ft) + 2(4.5 ft * 3 ft) =  57

Box F has surface area 6(3^2 ft) = 54 ft^2

The difference between the surface areas is: 57 - 54 = 3

b. diff = 3

[tex]

S_j=2\cdot(3\cdot2)+2\cdot(4.5\cdot2)+2\cdot(4.5\cdot3) \\ S_j=12+18+27=\underline{57} \\ \\

S_f=6\cdot(3\cdot3)=6\cdot9=\underline{54} \\ \\

S_j-S_f=57-54=\boxed{3}

[/tex]

The answer is 3.

The answer is 20 pages.

Hope this helps!

For this case we must make a rule of three to determine the number of pages to finish your work.

12 --------------> 60%

x ----------------> 40%

Where "x" represents the number of pages needed to complete the job:

[tex]x = \frac {40 * 12} {60}\\x = 8[/tex]

So, there are 8 pages left to finish their work. The total number of pages of the work is 20.

Answer:

You need to finish 8 pages out of a total of 20

Answer:

Option A is correct.

Step-by-step explanation:

The credit limit is $6000

New balance after the transactions = $ 3604.50

Available credit on Nikki's card = credit limit - New balance after the transactions

Available credit on Nikki's card = $6000 - $ 3604.50

Available credit on Nikki's card = $ 2395.50

So, Option A is correct.

Answer:

50% chance

Step-by-step explanation:

There is a 50% chance because there in a 3/6 chance he will pick a number above 2

Answer:B

Step-by-step explanation:

The answer is 10a^4b^3