on monday two hundred thirty-four students went on a trip to the zoo. All five buses were filled and four students had to travel on cars. How many students were in each bus?

Answer:

x > 7/3

Step-by-step explanation:

Distribute by 8 first

4x - 2 > 12 - 2x

6x - 2 > 12

6x > 14

x > 14/6. or x > 7/3

Answer:

HL

Step-by-step explanation:

Since the ray BD bisects angle ABC, we know angle ABD and angle CBD are congruent through the definition of an angle bisector. Segment AD and segment CD are also congruent because they are equidistant from the bisector. Lastly, segment BD is congruent to segment BD through the reflexive property of equality. This gives the triangles congruency through HL theorem.

Answer:

Step-by-step explanation:

Total number of students = 29000

Number of female = 54% of 29000

54/100 x 29000 = 15660 students

Number of male = 46% of 2900

46/100 x 29000= 13340 students

61% of 29000 are over 25 years

61% of 29000= 61/100 x 29000

= 17690 students

Of the pupils over the age of 25, 30% are male

30% of 17690 students are male

30/100 x 7690 =5307 students

The number of females over the age of 25 = 17690 -5307

17690 - 5307 = 12383 female students.

Answer:

um the answer is 0=0 (no cap)

Step-by-step explanation:

hope this helps!

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Answer:

Step-by-step explanation:

Distributive property: a(b +c) =(a*b) + (a*c)

-6(x - 1/2) = 3x + 3 - 9x

[tex]x*(-6) - \frac{1}{2}*(-6) = 3x - 9x + 3\\\\[/tex]

[tex]-6x + 3 = -6x + 3\\[/tex]

So, there are infinity solutions

Answer:

you can answer it like 15 to 3 or

15:3

Answer:

3.707, 3.71, 3.8, 3.809, 3.83, 3.83, 3.89

Step-by-step explanation:

3.707, 3.71, 3.8, 3.809, 3.83, 3.83, 3.89

Answer:

C. 4x² - 3x⁴ + x

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

A. 2xy - 3 + 5xy²

B. 3x³ - 3x - 3

C. 4x² - 3x⁴ + x

D. x⁵y - 3x²y - xy

Step 2: Rewrite

Rewrite each trinomials into standard form.

A. 5xy² + 2xy - 3

B. 3x³ - 3x - 3

C. -3x⁴ + 4x² + x

D. x⁵y - 3x²y - xy

Step 3: Identify LC

A. has a leading coefficient of 5

B. has a leading coefficient of 3

C. has a leading coefficient of -3 (our answer)

D. has a leading coefficient of 1

Answer:

The answer is (12,-23)

Answer: 45

Step-by-step explanation:

3(-2m + 5) -6(-4m - 2) =

-6m + 15 + 24m + 12=

18m + 27

18= a 27= b 27 + 18= 45

The value of the expression a + b is 45.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

First, we can simplify the expression using the distributive property:

3(-2m + 5) - 6(-4m - 2) = -6m + 15 + 24m + 12

Combining like terms, we get:

18m + 27

So, a = 18 and b = 27, which means:

a + b = 18 + 27 = 45

Therefore,

The value of a + b is 45.

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Answer:

There are 6 cakes.

Each person can eat 1/2 of a cake.

You need to find how many times you can split 6 cakes into 1/2 of a cake.

Obviously, division is the way to go.

6 ÷ 1/2

When dividing by a fraction, you need to turn both parts into fractions.

6/1 ÷ 1/2

Now you skip the first part.

Focus on 1/2

Flip the fraction: 2/1

Now multiply the two fractions together

6/1 *2/1 = 12/1

Therefore 12 people can be at the party.

PLEASE BRAINLIEST

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Answer: 12 people

Step-by-step explanation:

6 total cakes ; everyone eats [tex]\frac{1}{2}[/tex]

6 people would eat 3 cakes because [tex]\frac{1}{2}[/tex] × 6 people = 3 cakes.

However, 12 people would eat 6 cakes because [tex]\frac{1}{2}[/tex] × 12 people = 6 cakes.

Answer:

[tex]3x+2 \ne x^2 \ne 2x[/tex] for [tex]x = 4[/tex]

Step-by-step explanation:

Given

Shape: Triangle

Dimension: 3x + 2, x^2 and 2x

[tex]x = 4[/tex]

Required

Determine if it has equal sides

To do this, we simply substitute 4 for x in the given dimensions

3x + 2

[tex]3x + 2 = 3 * 4 + 2[/tex]

[tex]3x + 2 = 12 + 2[/tex]

[tex]3x + 2 = 14[/tex]

x^2

[tex]x^2 = 4^2[/tex]

[tex]x^2 = 16[/tex]

2x

[tex]2x = 2 * 4[/tex]

[tex]2x = 8[/tex]

[tex]3x+2 \ne x^2 \ne 2x[/tex] for [tex]x = 4[/tex]

Step-by-step explanation:

5 miles =8 km

? miles=74 km

[tex] x \: miles = \frac{74 \times 5}{8} \\ = 46.25 \\ \frac{5 \: miles}{8 \: km} = \frac{46.25 \: miles}{74 \: km} \\ [/tex]

Answer:0.04

Step-by-step explanation:4% is just 0.04. Example I multiply 2 by 4% i get 0.08. I multiply 2 by 0.04 i get 0.08. Hope this helped.

Answer:

62.5

Step-by-step explanation:

5/8=.625

0.625*100=62.5

Answer:

94

Step-by-step explanation:

circumference of a circle is 2πr or πd with r being the radius or d being the diameter.

30 meters is the diameter, and 30π ≈ 94.2

Answer:

can you pls show more......

Step-by-step explanation:

Answer:

60! hope this helps!

Step-by-step explanation:

Answer:

b- 43%

Step-by-step explanation:

being technical its 42.857142857143% but assuming its round up it would be 43%

Answer:

Step-by-step explanation:

Number of the trees:

Number of infected is 12, so the percent of infected is:

Answer:

196

Step-by-step explanation:

Answer:

x = 27

Step-by-step explanation:

ΔDQC ≈ ΔDBR

set up proportion based on corresponding sides

39/x = 65/18+x

cross-multiply:

39(18+x) = 65x

702 + 39x = 65x

702 = 26x

x = 27

Answer:

274878070200

Step-by-step explanation:

4 to the power 11 = 4194304

4 to the power -8 = 0.00001525878

4194304/0.00001525878 = 274878070200

Answer:

Helen

Step-by-step explanation:

Just did test

Both Felix and Sidney earned the same amount of commission, which is $39.15.

Helen earned the most commission, which is $45.00.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To calculate the commission earned by each salesperson, we need to multiply the rate of commission by the total sales amount.

The total sales amount is the product of the number of items sold and the cost of each item.

For Felix:

Commission = (Rate of commission) x (Total sales amount)

= 7.25% x (9 x $60)

= $39.15

For Helen:

Commission = (Rate of commission) x (Total sales amount)

= 7.50% x (12 x $50)

= $45.00

For Reid:

Commission = (Rate of commission) x (Total sales amount)

= 8.25% x (10 x $40)

= $33.00

For Sidney:

Commission = (Rate of commission) x (Total sales amount)

= 7.75% x (6 x $90)

= $39.15

Therefore,

Both Felix and Sidney earned the same amount of commission, which is $39.15.

Helen earned the most commission, which is $45.00.

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Answer:

(c) Paul's model predicts a score of 51 for 3 hours

(d) 30 represents the y intercept

Step-by-step explanation:

Given

[tex]y = 7x + 30[/tex]

Solving (c): What is y when x is 3

Substitute 3 for x in [tex]y = 7x + 30[/tex]

[tex]y = 7*3 + 30[/tex]

[tex]y = 21 + 30[/tex]

[tex]y = 51[/tex]

Solving (d): What does 30 represent

An equation is represented as:

[tex]y = mx + b[/tex]

Where

[tex]b = y\ intercept[/tex]

Compare: [tex]y = mx + b[/tex] to [tex]y = 7x + 30[/tex]

[tex]b = 30[/tex]

This implies that 30 represents the y intercept

Answer: 10

Step-by-step explanation:

Question A:

The formula to find the hypotenuse is c²=a²+b²

So you would insert the numbers into the formula which would be c²=8²+6²

8²=64

6²=36

36+64=100

So c²=100

Then you want to find c on its own so you have to square root 100.

The square root of 100 is 10.

You have to use this method for the rest of the triangles.

The hypotenuse of the triangles are solved

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of sides of the triangle are

a)

a = 8

b = 6

Now , From the Pythagoras Theorem , The hypotenuse² = base² + height²

c = √ ( 8 )² + ( 6 )²

c = √100 ≈ 10

b)

a = 11

b = 7

c = √170 ≈ 13.0

c)

a = 13

b = 6

c = √205 ≈ 14.3

Hence , the hypotenuse of the triangles are solved

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The answer to this is 119