2) Mr. Chavez bought 11 cookies. Chocolate cookies cost $3 and sugar
cookies cost $4. He spent a total of $35. How many of each type did
he buy?
Define Variables:
Write the system of equations:

Answers

Answer 1

Answer:

Variables : C , S

Equations : C + S = 11

                  3C + 4S = 35

Step-by-step explanation:

Chocolate cookies be = C

Sugar Cookies be = S

Total number of cookies : C + S = 11

Total Spent on the cookies : 3C + 4S = 35

[tex]C + S = 11\\C = 11 - S\\3C + 4S = 35\\3(11 - S ) + 4S = 35\\33 -3S +4S = 35\\-3S + 4S = 35 - 33\\S = 2\\\\C + S = 11\\C + 2 = 11\\C = 9[/tex]

Answer 2
3x+4y=35
x+y=11
x=choc cookies
y=sugar cookies
x+y=11 —> y=11-x
Substitute into other equation:
3x+4y=35
3x+4(11-x)=35
Solve for x
3x+44-4x=35
-x=-9
x=9
Then x+y=11
y=11-x=11-9=2
x=9, y=2
He bought 9 choc cookies and 2 sugar cookies.

Related Questions

nine added to thice a whole number gives 45. find the number​

Answers

Answer:

let whole number be x

9+3x=45(according to the question this is a equation)

3x=45-9

x=36/3

x=12

Step-by-step explanation:

HELP I WILL GIVE BRAINIEST

Answers

Answer: False and x = sqrt(10^2 - 6^2) km

Step-by-step explanation:

1. False

2.Use Pythagoras theorem. The distance between the cars, 10km, is the hypotenuse of a right angled triangle, one leg of which is 6km and the other of which is, say, x km

x = sqrt(10^2 - 6^2) km.

Please mark me brainliest

Which statement about rectangles and rhombuses is always true?

Answers

Answer:

B

Step-by-step explanation:

B...............................

mark me the brainliest plzzzzzzzz

The statement about rectangles and rhombuses that is always true is that both figures are quadrilaterals.

What is a quadrilateral?

A quadrilateral is a closed, two-dimensional shape which has four straight sides.

In other word, a quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices.

Quadrilateral has four sides.

Rhombuses and rectangles have four sides. Therefore, they are both quadrilaterals.

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Determine the radius of a baseball that has a surface area of 215cm2. Round your answer to the nearest tenth of a centimetre.

Answers

The radius is around 8.3 cm

The length of a rectangular piece of
construction paper is 8 inches and the width
is 17 inches. Vincent folded the piece of
paper along its diagonal. Which
measurement is closest to the length of the
diagonal in inches?
A. 5 in.
B. 18.79 in
C. 15 in
D. 25 in.

Answers

Answer:

B 18.79

Step-by-step explanation:

Answer:

B

Step-by-step explanation:


Describe a congruence transformation that maps ABC to DEF

Answers

Answer:

A translation of 5 units to the right, followed by a reflection across the x axis.

Ten people board an airplane that has 13 aisle seats. In how many ways can they be seated if they all select aisle seats?

Answers

Answer: [tex]1716\ \text{ways}[/tex]

Step-by-step explanation:

Given

10 people board an airplane that has 13 aisle seats

No of ways of arranging r things out of n things is given by [tex]^nP_r[/tex]

Put the value of n and r as 13 and 10.

[tex]\Rightarrow ^{13}P_{10}=\dfrac{13!}{(13-10)!}\\\\\Rightarrow ^{13}P_{10}=\dfrac{13\times 12\times 11\times 10!}{10!}\\\\\Rightarrow ^{13}P_{10}=1716\ \text{ways}[/tex]

help plssssssssssssssssssssssssss

Answers

Answer:

158 inches squared

Step-by-step explanation:

I am calling them Inches instead of centimeters because the image only shows inches as the unit.

To find the surface area, you need to add up all the rectangles' areas ([tex]lw[/tex]) shown to get the sum surface area.

Sides A & D: [tex]5 * 8 =40[/tex]

Sides B & F: [tex]3 * 8 =24[/tex]

Sides C & E: [tex]3 * 5 = 15[/tex]  (You get 5 inches from the edges, if you fold it into a rectangular prism, the side would have dimensions of 3x5.)

Then, you add all of the sides together.

[tex]A(40)+D(40)+B(24)+F(24)+C(15)+E(15)\\= 158[/tex]

Your total surface area would be 158 in.

PLS HELPPP TYYYY LOL

Answers

Answer:

84 cm²

Step-by-step explanation:

3 x 4 x 0.5 = 6

3 x 4 x 0.5 = 6

3x 6 = 18

5 x 6 = 30

4 x 6 = 24

add up = 84

In total it’s 84cm with the tiny two.

Help plz..And No links!! I repeat No links!!

Answers

Answer:

34

Step-by-step explanation:

1. look at XV, and see that it equals 32 altogether.

WX is doubled the amount of WV. So it would be the same pattern on the other side.

2. 17*2=34

You might notice that 17-9=8, so wouldn't 34-16 be 8 as well. Nope, it would be doubled just like WX is doubled the amount of WV.

Find the value of y. 108 degrees 40 degrees. x, y, z, w

Answers

Answer:

[tex] \frac{108}{2 } = 54[/tex]

The value of y for the given circle will be 54°.

What is a circle?

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

The diameter is the longest line that can be drawn inside a circle.

In our daily life, we always see circle objects for example our bike wheel.

Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.

In the given question by the circle theorem that if a curve makes a 2x angle then the extreme point will make the angle on circle as x.

So angle y = half of angle 108°

∠Y = 108°/2 = 54°

Angle w will also same as 54° because it also satisfies the theorem of the circle.

To learn more about the circle,

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The equation of a parabola is y=x2–8x+14. Write the equation in vertex form.

Answers

Answer:

Step-by-step explanation:

y=x^2-8x+14

To write in vertex form, group the two x-terms to make a complete square, adjust the constant term accordingly

y = x^2-8x+16  -2

factor the first three terms on the right hand side

y = (x-4)^2 -2

This means that the vertex is at x-4 = 0, or x=4, and y=2.

Order the expressions by value from least to greatest.
|2-9| |4| |6+4| -|7|

Answers

Answer:

-|7|, |4|, |2-9|, |6+4|

Step-by-step explanation:

I think this is correct

Item 7
Danielle starts mowing the lawn at 10:28 a.m. It takes her 47 minutes to mow the lawn.

What time does Danielle stop playing mowing?


10:47 a.m.

11:15 a.m.

11:47 a.m.

12:15 p.m.

Answers

Answer:

Option 2

Step-by-step explanation:

10:28 plus 47 is 11:15

A bottle of juice is divided between 3 friends. Jason gets 1 third of the juice, Joseph gets 1 fourth of the bottle and Siswe gets a 5 over 12 ( 5 is the numerator and 12 is the denominator). By comparing the fractions, calculate who will get the most juice​

Answers

Answer:

Siswe

Step-by-step explanation:

[tex]\frac{1}{3} = \frac{4}{12}\\\\\frac{1}{4} = \frac{3}{12}\\\\\frac{5}{12} =\frac{5}{12}[/tex]

Answer:

siswe gets more juice

Step-by-step explanation:

i hope this helps

Which graph shows the line y = 4x - 2?

Answers

Answer:

Hi, there the answer is Graph A because the y-intercept and I did rise over run

Step-by-step explanation:

Hope this helps :)

¿cuáles son los criterios de congruencia y semejanza de triángulo?

Answers

Answer:

Two triangles are similar if they meet one of the following criteria. : Two pairs of corresponding angles are equal. : Three pairs of corresponding sides are proportional. : Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.

Dos triángulos son similares si cumplen uno de los siguientes criterios. : Dos pares de ángulos correspondientes son iguales. : Tres pares de lados correspondientes son proporcionales. : Dos pares de lados correspondientes son proporcionales y los ángulos correspondientes entre ellos son iguales.

Step-by-step explanation:

how many square feet of outdoor carpet will we need for this hole??? ANSWER QUICKLY

Answers

I guess so 35 ft or more than it

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

∠ G ≈ 8.3°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan G = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{HI}{GI}[/tex] = [tex]\frac{1.1}{7.5}[/tex] , then

∠ G = [tex]tan^{-1}[/tex] ([tex]\frac{1.1}{7.5}[/tex] ) ≈ 8.3° ( to the nearest tenth )

Write an exponential function y = a(b)" whose graph passes through the given
points,
(-1,2),(2,54)

Answers

Answer:

y = 6 * 3ˣ

Step-by-step explanation:

y = a * bˣ

(-1 , 2):   2 = a * (b)⁻¹ = a/b               a = 2b

(2 , 54)  54 = a * b²  = 2b * b² = 2b³

b³ = 54/2 = 27          b = 3

a = 6

Function: y = 6 * 3ˣ

question in photo, pls answer and explain! giving brainliest

Answers

Answer:

Step-by-step explanation:

4(x-3)^2 = 80

4x-12^2= 80              --- (distribute)

4x+144= 80          --- ( why a positive 144 because a (-) * a (-) = a (+)

4x =  (80-144)      --- ( subtract -144 from +144(do it on both sides)

4x = -64    --- (divide both sides by 4)

x= -16

Answer:

2√5 +3

Step-by-step explanation:

Isolate x:

4(x-3)^2 = 80

Divide both sides by 4.

(x-3)^2 = 20

Then take the square root of each side.

(x-3) = √20

Add 3 to each side.

x = √20 + 3

√20 can be rewritten as 2√5.

x = 2√5 + 3

12) The product of three integers x, x + 2, and x – 5 is 240? What are the integers?
A) 5.9, 7.9, 0.9
B) 7.5, 9.5, 2.5
C) 5, 6, 8
D) 8, 10, 3

Answers

Answer:

D.

Step-by-step explanation:

x(x+2) (x-5) -240

put that on a graph calculator and the x=8

x=8

x+2=10

x-5=3

The average mass of a certain type of microorganism is 2.4x10^-6 grams. What is the approximate total mass, in grams, of 5x10^3 of these microorganisms?

a. 1.2X10^-4
b. 1.2X10^-3
c. 1.2X10^-2
d. 1.2X10^-1

Answers

I would go with answer b

The total mass of 5 x 10³ microorganisms is  1.2 x [tex]10^{-2}[/tex].

Option C is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Mass of an organism = 2.4 x [tex]10^{-6}[/tex] grams

The total mass of 5 x 10³ microorganism.

= 5 x 10³ x 2.4 x [tex]10^{-6}[/tex]

= 12.0 x [tex]10^{3 - 6}[/tex]

= 12 x [tex]10^{-3}[/tex]

= 1.2 x [tex]10^{-2}[/tex]

Thus,

The total mass is 1.2 x [tex]10^{-2}[/tex]

Learn more about expressions here:p

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The table shows two options provided by a high-speed Internet provider.


Setup Fee ($) Cost per Month ($)
Option 1 80 30
Option 2 No setup fee $40


Part 1 out of 2
In how many months will the total cost of both options be the same? What will that cost be?

In months the total cost of both options will be the same. That cost will be $.

Answers

Answer:

8 months and $320

Step-by-step explanation:

To find when 30m + 80 = 40m, isolate m.

30m + 80 = 40m

Subtract 40m from both sides.

-10m + 80 = 0

Subtract 80 from both sides.

-10m = -80

Divide both sides by -10

m = 8

To find the cost, substitute 8 as m in one of the equations.

40(8) = 320

PLEASE HELP IM BEGGING U

Answers

Answer:

c

Step-by-step explanation:

Question 4
1 pts
3. Aracelli has a class of kindergardeners. Each student gets a six oz cup of milk at
snack time. How many gallons of milk will she need to buy for a class of 23 students?
O 1.08 gallons
1.1 gallons
O 2 gallons
1 gallon
1 pts
Question 5

Answers

0 2 gallons is the answer

Answer:

There is a little over 1 gallon

Step-by-step explanation:

A store manager claims that 60% of shoppers who enter her store make a purchase. To investigate this claim, she selects a random sample of 40 customers and finds that 40% of them make a purchase. She wants to know if the data provide convincing evidence that the true proportion of all customers who enter her store that will make a purchase differs from 60%. The P-value of this test is 0.0098. Interpret the P-value.

Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.
Assuming the true population proportion of shoppers who will make a purchase differs from 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.
Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample of 40 customers is 0.0098.
Assuming the true population proportion of shoppers who will make a purchase is different from 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample of 40 customers is 0.0098.

Answers

Answer:

I do believe that it is Option B

(Assuming the true population proportion of shoppers who will make a purchase differs from 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.)

Step-by-step explanation:

This sample provide evidence that the grocery store manager overstated the true proportion P-value = 0.0333.

What is p-value?

In null-hypothesis significance testing, the p-value is the probability of obtaining test results at least as extreme as the result actually observed, under the assumption that the null hypothesis is correct.

here, we have,

Given data in the question:

To test whether population proportion p is overstated;

Null hypothesis H₀ : p = (75%) = 0.75  

Alternative hypothesis H₁ : = < (75%) < 0.75

Now, sample proportion p" = 64 / 100 = 0.64

From the dot plot below,

we will determine the p-value for test { P(p" < 0.64)}

The number of times p"<0.64 in 150 simulations is 5

Therefore:

P(p" < 0.64 ) = 5 / 150 = 0.0333

P-value = 0.0333

At 5% level of significance;

0.0333 < 0.05

Therefore, we reject null hypothesis H₀ at 5% level of significance,

We conclude that proportion of shoppers who bought bananas at least once in the past month is overstated.

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complete question:

A grocery store manager claims that 75% of shoppers purchase bananas as least once a month. Technology was used to simulate choosing 150 SRSs of size n = 100 from a population of shoppers where 75% buy bananas. The dotplot shows pˆ = the sample proportion of shoppers who bought bananas in the past month. A random sample of 100 shoppers from the store were selected and 64 bought bananas in the past month. Does this sample provide evidence that the grocery store manager overstated the true proportion? Justify your answer.

Escribe en lenguaje simbólico las siguientes expresiones, teniendo en cuenta que llamamos x a la edad de María. La edad que tenía María hace 3 años. El doble de la edad que tendrá María dentro de 10 años. La tercera parte de la edad que tenía María hace 1 año.

Answers

Answer:

i don't know that language sorry

Step-by-step explanation:

19- What is the equation of the line that is perpendicular to the given line and has an x-intercept of 6? O y= 4 -10 86 8 10 x --**+ 8 O y=-3x+6 O y= 4X-8 O ya x-6 |(4,2) 5) 10.​

Answers

Answer:

[tex]y=\frac{4}{3}x -8[/tex]

Step-by-step explanation:

So first find the slope of the given line

-2 - 4 = -6

4 + 4 = 8

-6 ÷ 8 = [tex]-\frac{3}{4}[/tex]

The slope of a line perpendicular to another line is the opposite reciprocal of the given slope.

The opposite reciprocal of [tex]-\frac{3}{4}[/tex] is [tex]\frac{4}{3}[/tex]

So now all we need to finish the slope intercept form y = mx + b is b, which is the y intercept.

[tex]y=\frac{4}{3}x+b[/tex]

Now that they give us the X intercept, you can plug in the values (6, 0).

[tex]0=8+b[/tex]

b = -8

Tyrone completed 3/8 of a report on Wednesday. Then he completed 1/2 of the report on Thursday. Did Tyrone complete more of his report on Wednesday or Thursday? Explain

Answers

Answer:

tyrone completed more of his report on Thursday.

Step-by-step explanation:

first you have to find the common denominator. in this case it would be 8. then you have to multiply 1/2 times 4 to make the denominators equal. so now instead of 1/2 it is 4/8. and 3/8 < 4/8

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