MATHEMATICS HIGH SCHOOL

2. Standard 6.NS.BHot dogs come in packages of 10. Hot dog buns come in packages of 8. Elliott would
like to buy the smallest number of hot dog buns and hot dogs so that he will have
exactly one hot dog per bun.
Part A
How many packages of buns and hot dogs must he buy? Show your work and explain
your thinking.

Answers

Answer 1
Answer:

Answer:

4 packages of hot dogs and 5 packages of hot dog buns.

Step-by-step explanation:

Find the least common multiple of 10 and 8, which is 40.

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The measure of one of the acute angles in a right triangle is 63.7º. what is the measure of the other acute angle? 26.3º 76.3º 116.3º 66.3º
Can Someone Help Me With This Please ..
Please explain how to do this and one answer.
Garland started the week with an odometer reading of 58,240 miles and a full tank. He ended the week with an odometer reading of 58,615, and he re-filled the tank with 15 gallons of gas. How many miles per gallon did he get to the nearest whole number? (Points : 2) 25 24 23 22

Given: ASTU with ST || XYProve: * -
Statements
1. ASTU with ST || XY
Reasons
1. given
2. def. of corresponding
angles
2. 21 and 22 are
corresponding angles
3. 23 and 24 are
corresponding angles
4. 21 - 22; 23 24
3. def. of corresponding
angles
4. corresponding angles
theorem
5.
5. AA similarity theorem
Complete the steps of the proof.
6. def. of similar triangles
6. U = Tu
7. SU = SX + XU:
TU = TY + YU
8. SXEUXU – TYHYU
7. segment addition
postulate
8. substitution property
X
XII
TY
VII

Answers

The correct missing proof are Δ UXY ~ Δ UST and subtraction property of equality.

What are similar triangles?

Two triangles are said to be similar if their corresponding sides are equal and if the ratio of the sides are in equal ratios.

The proof is as follows :-

The given steps are;

1. Δ STU with ST || XY,                                1. Given

2. ∠1 and ∠2 are corresponding angles,   2. Def of corresponding angles

3. ∠3 and ∠4 are corresponding angles,  3. Def of corresponding angles

4. ∠1 ≅ ∠2; ∠3 ≅ ∠4,                              4. Corresponding angles theorem

5. Δ UXY ~ Δ UST                                       5. AA similarity theorem

6. SU/XU = TU/YU                                      6. Def of similar triangles  

7. SU = SX + XU, TU = TY +  YU,           7. Segment addition postulate

8. (SX + XU)/(XU) = (TY + YU)/(YU)        8. Substitution property    

9. SX/XU + 1 = TY/YU+1                          9. simplification

10. SX/XU = TY/YU                                 10. subtraction property of equality.

Hence, the correct missing proof are Δ UXY ~ Δ UST and subtraction property of equality.

Learn more about similar triangles, click;

brainly.com/question/14926756

#SPJ7

Answer: Here is the answer

Step-by-step explanation:

What is the sum of 667 and 23?
a. 644
b. 690
c. 15,341
d. 29

Answers

the answer is B. 690

  the answer is b. 690

On a Saturday, the ratio of the amount of water used by household A to the amount of water use by household B was 13 : 5. Household A used 260 gallons of water for that day. Find the total amount of water used by the two household on that Saturday.

Answers

Answer:the total amount of water used by the two households on that Saturday is 360 gallons

Step-by-step explanation:

Let x represent the total amount of water used by the two households on that Saturday. On that Saturday, the ratio of the amount of water used by household A to the amount of water use by household B was 13 : 5. The total ratio is 13 + 5 = 18

The amount of water used by household A would be

13/18 × total amount of water.

The amount of water used by household B would be

5/18 × total amount of water.

Since household A used 260 gallons of water for that day, it means that

13/18 × x = 260

13x = 260×18 = 4680

x = 4680/13 = 360

Step-by-step explanation:

this is my answer I guess this will help

A cylinder is 8 inches wide and 10 inches tall. a cone is 10 inches wide and 12 inches tall. which container has more space

Answers

8x10= 80 for cylinder

10x12= 120 for cone 

cone has more space

Is 1 prime, composite, or neither?

prime
composite
neither

Answers

Answer: Neither prime nor composite

Step-by-step explanation: Since 1 divides into 1 exactly one time, 1 is the only factor of one. Prime numbers are numbers that only have two factors and composite numbers are numbers with more than two factors. Since 1 only has 1 factor, we will call it neither prime nor composite.
1 is neither prime nor composite

What value or values of x satisfy 2|x+5.3|=4.2a. x can only equal –3.2.
b. x can only equal 7.4.
c. x can equal –3.2 or –7.4.
d. x can equal –3.2 or 7.4.

Answers

we have

2\left|x+5.3\right|=4.2

Step 1

Find the first solution (case positive)

2(x+5.3)=4.2

Eliminate the parenthesis left side

2x+10.6=4.2

Subtract 10.6 both sides

2x=4.2-10.6

2x=-6.4

Divide by 2 both sides

x=-3.2

Step 2

Find the second solution (case negative)

2[-(x+5.3)]=4.2

Eliminate the parenthesis left side

-2x-10.6=4.2

Adds 10.6 both sides

-2x=4.2+10.6

-2x=14.8

Divide by -2 both sides

x=-7.4

therefore

the answer is the option C

x can equal –3.2 or –7.4
We have, /x+5.3/ = 2.1;
Then, x + 5.3 = 2.1 or  x + 5.3 = -2.1;
x = 2.1 - 5.3; x = -3.2;
x = -2.1-5.3; x = -7.4;
The correct answer is c.
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