A set of children’s blocks contains three shapes: long, flats, and cubes. There are three times as many longs as cubes and 30 fewer flats than longs. if there are 600 blocks in all how many Long’s are there

Answers

Answer 1

Answer:

There are 270 longs

Step-by-step explanation:

Equations

We must write the problem into a mathematical model that allows us to apply the properties of basic algebra and solve for the variable which must be adequately set up.

We have three unknowns: the number of long blocks, flats blocks, and cubes. The conditions are given:

There are three times as many longs as cubes There are 30 fewer flats than longs. There are 600 blocks in all

For the equation to be easier solved, let's set the variable as the number of cubes:

x = number of cubes

Considering the first condition, we have

3x = number of longs

3x-30 = number of flats

And finally:

[tex]x + 3x+3x-30=600[/tex]

Joining like terms:

[tex]7x=630[/tex]

Solving for x

[tex]\displaystyle x=\frac{630}{7}=90[/tex]

Therefore, there are 3x = 3*(90) = 270 longs

Answer: there are 270 longs


Related Questions

A marathoner ran 5 miles in 40 minutes. What is the ratio of minutes per mile?

Answers

5:40
8 minutes per mile

Answer:

0.125 miles per minute

Step-by-step explanation:

PLZ SOMEONNE HELP! DUE TODAY!!!!!!!!!!!!!

Answers

Answer:

2. is the second one, 3. is the 3rd one (i think)

Step-by-step explanation:

using the diagram below classify the angle pairs as corresponding, alternate interior, alternate exterior, consecutive interior, or none.

Answers

Answer:

a. ∠4 and ∠7 are consecutive interior angles

b. ∠2 and ∠11 are alternate exterior angles

c. ∠12 and ∠16 are corresponding angles

d. ∠8 and ∠13 are alternate interior angles

e. ∠11 and ∠15 are corresponding angles

f. ∠7 and ∠10 none

g. ∠1 and ∠14 are alternate exterior angles

h. ∠12 and ∠15 are consecutive interior angles

i. ∠6 and ∠7 none

j. ∠1 and ∠3 are corresponding angles

k. ∠12 and ∠16 are corresponding angles

l. ∠6 and ∠15 are alternate exterior angles

m. ∠5 and ∠10 are alternate interior angles

n. ∠8 and ∠14 are consecutive interior angles

Step-by-step explanation:

Corresponding angles are angles in similar corners of two lines that are crossed by a transversal

Alternate interior angles are angles formed on the inside but opposite sides of two lines crossed by a transversal

Alternate exterior angles are angles formed on the exterior or outer but opposite sides of two lines crossed by a transversal

Consecutive interior angles are angles on the interior part of the two lines crossed by a transversal and on the same side of the transversal

a. <4 and <7 = Consecutive interior

b. <2 and <11 = alternate exterior angles

c. <12 and <16 = corresponding angles

d. <8 and <13 = alternate interior angles

e. <11 and <15 = corresponding angles

f. <7 and <10 = none

g. <1 and <14 = alternate exterior angles

h. <12 and <15 = Consecutive interior

i. < 6 and <7 = none

j. <1 and <3 = corresponding angles

k. <12 and <16 = corresponding angles

l. <6 and <15 = alternate exterior angles

m. <5 and <10 = alternate interior angles

n. <8 and <14 = corresponding angles

First, we need to understand how angles found on parallel lines are paired and classified. An image showing the angle pairs have been attached below.

Corresponding angles pairs are indicated by the red color, orange color, and the blue colors because they occupy the same corner along the transversal line.

Alternate interior angles are positioned opposite each other along the transversal line, but are inside the two parallel lines. They are the green angles.

Alternate exterior angles are outside the parallel lines but lie opposite each other along the transversal. They are indicated by yellow.

Consecutive angles lie opposite each other within the parallel lines. They are colored pink.

Therefore, the angles given can be classified similarly using the image as:

a. <4 and <7 = Consecutive interior

b. <2 and <11 = alternate exterior angles

c. <12 and <16 = corresponding angles

d. <8 and <13 = alternate interior angles

e. <11 and <15 = corresponding angles

f. <7 and <10 = none

g. <1 and <14 = alternate exterior angles

h. <12 and <15 = Consecutive interior

i. < 6 and <7 = none

j. <1 and <3 = corresponding angles

k. <12 and <16 = corresponding angles

l. <6 and <15 = alternate exterior angles

m. <5 and <10 = alternate interior angles

n. <8 and <14 = corresponding angles

Learn more here:

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Noya needs to determine the number of books that will fit into a box. If the box has a length of 18 inches and each book is StartFraction 2 Over 9 EndFraction of an inch thick, which expression can be used to determine the number of books that will fit into the box?

18 StartFraction 2 Over 9 EndFraction
18 times StartFraction 2 Over 9 EndFraction
StartFraction 2 Over 9 EndFraction divided by 18
StartFraction 9 Over 2 EndFraction divided by 18

Answers

Answer:

A. 18 divided by 2/9

Step-by-step explanation:

To determine the number of boos that will fit into a box that is 18 inches long, we divide the length of the box by the length of the books

18 inches  divided by 2/9 inches per book

This tells us how many books

copy dot flip

18 * 9/2

81 books

Answer:

A

Step-by-step explanation:

Need help with this geometry problem hard for me smart people only 100% pls fast due now

Answers

Answer:

x = 30°

Step-by-step explanation:

We know that the sum of all of the interior angles of a triangle is 180°, therefore, we can write the following equation:

x + 2x + 3x = 180

6x = 180

x = 30°

Jill has a bag containing 3 1/2 cup of flour. She will use 1 1/4 cups of flour to make cookies and 1/3 Cup of flour to make candy. How many cups of flour will Jill have left after she has made the cookies and candy?

Answers

the answer is 2 1\12

Answer:

She will have 41/12 cups left

Step-by-step explanation:

have to make denominator 12 so the 3 1/2 will be 60/12 and the 1 1/4 will be 15/12 and 1/3 turns into 4/12

60/12-15/12=45/12      45/12-4/12= 41/12

What the answer to this

Answers

Answer:

Grapes are sold for 1.75 per pound.

Describe the main parts of a proof.

Answers

Answer:

The most common form of explicit proof in high school geometry is two column proof consists of various five parts they are; the given, the proposition, the statement column, the reason column, and the diagram ( if its given).

Answer:

Proofs contain given information and a statement to be proven. You use deductive reasoning to create an argument with justification of steps using theorems, postulates, and definitions. Then you arrive at a conclusion.

Step-by-step explanation:

PLEASE HELP
Owen’s grandmother put some money into his savings account on the day he was born. Today, Owen turns 18 years old, and he’s discovered that he has earned $225 in simple interest on his grandmother’s money. If the yearly interest rate was 5%, how much money did his grandmother deposit at the time of his birth?

A. 150
B. 250
C. 400
D. 425

Answers

C-400 is the answer !!

Answer:

its B 250

Step-by-step explanation:

Did the lesson

GIVING BRAINLY NEED ASAAP PLSS HELLP 46 POINt

Answers

Answer: g = 2m + 4

Step-by-step explanation:

G=4+2m

Grandma is 4 years older than twice his moms age

i need to find the value of x

Answers

Answer:

x = 6

Step-by-step explanation:

cause you need to add 10 and 3 and then divide both sides by 4

Answer:

10

Step-by-step explanation:

if A is parallel to B then 4x must be equal to 3x + 10

4x = 3x + 10

4x - 3x = 10

x = 10

The sum of the measures of the angles of all triangles is 180 if one of the triangle measures 45 and the other two angles are equal what is the measure of each of the other two angles

Answers

Answer:

67.5

OR

45, 90

Step-by-step explanation:

The answer would either be 135, or 45, 90.

This is because typically whenever we see a all sides of a triangle equal 180, we can already understand there is a trig relationship, and when they give us one angle being 45, we see this as a 45-45-90 Triangle. (x, x, x*sqrt(2))

Or the simple but probably wrong answer would be 45 - 180 = 135. 135/2 = 67.5

In which projection map is distortion of shapes minimal and is it frequently used for countries or regions with an east-west orientation?

Answers

Answer:

The answer is C

Step-by-step explanation:

I took the test

Option (C) projection map is a distortion of shapes minimal and is it frequently used for countries or regions with an east-west orientation option (C) is correct.  

What is distortion?

Distortion in digital logic is the modification of a signal's original shape.

As we know,

A city map, for example, would only have a tiny deformation.

A map is a flat representation of the wavy surface of the earth. however, when a curved surface is transferred to a flat map, the curved surface seems distorted.

Thus, option (C) projection map is a distortion of shapes minimal and is it frequently used for countries or regions with an east-west orientation option (C) is correct.  

Learn more about the distortion here:

https://brainly.com/question/13626015

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—9 <3x 15
HELP PLSSS

Answers

Answer:

x>-8

Step-by-step explanation:

-9 <3x +15

-24 <3x

-8<x

Answer:

X<-1/5

Step-by-step explanation:

I dont really understand what you wrote but I’m assuming its -9<3x(15)

so -9<45x

Divide 45 on both sides to isolate the variable

-9/45<X

simplify

-1/5<X

Check:

-9<3(1)(15) (I used 1 cause it’s greater then -1/5 and it’s a easier number to work with)

-9<45✔️

There are 32 students going on a field trip. One fourth of them are girls. How many
boys are going on the trip?

Answers

Answer: 8

Step-by-step explanation:

1/4 = .25

32 x .25 = 8

there are 8 boys on the trip

plz mark brainliest

When a figure is dilated, what is the resulting of the figure

Answers

Answer:   this means the corresponding sides of the shape is enlarged in a uniform multiple. In this case, the ratio of the sides remains the same

Step-by-step explanation:

The perimeter of a rectangle is 77cm. The length is 6 times the width. Find the width and length of the rectangle. HELPPP I’m stuck on this

Answers

Answer:

462

Step-by-step explanation:

multiple 77x6

Answer:

The width is 5.5cm.

The length is 33cm.

Step-by-step explanation:

Since the length is 6 times the width, [tex]l=6w[/tex] (l represents the length and w represents the width.)

Perimeter = Length + Length + Width + Width = [tex]6w+6w+w+w=14w[/tex]

Since the perimeter is 77cm,

[tex]14w=77[/tex]

Divide both sides by 14:

[tex]\frac{14w}{14}=\frac{77}{14}[/tex]

[tex]w=5.5[/tex]

The width is 5.5cm.

We know that the length is 6 times the width,

so the length = [tex]6\times 5.5=33[/tex].

The length is 33cm.

Between what 2 integers does √23 lie?

Answers

Answer:

4 and 5

Step-by-step explanation:

[tex] \because \: \sqrt{23} = 4.79583152 \\ \therefore \: 4 < \sqrt{23 } < 5 \\ so \: \sqrt{23} \: lie \: between \: the \: integers \: 4 \: and \: 5[/tex]

Circle O is shown. Secants C A and C E intersect at point C outside of the circle to form an angle with measure 36 degrees. Secant C A intersects the circle at point B, and secant C E intersects the circle at point D. Arc B D is 48 degrees. In circle O, what is mArc A E?

Answers

Answer:

120°

Step-by-step explanation:

The external angle <C outside the circle can be expressed in terms of length of arc AE and BD using the formula below.

<C = [tex]\frac{AE-BD}{2} \\[/tex]

Next is to make the length of arc AE the subject of the formula;

<C = [tex]\frac{AE-BD}{2} \\[/tex]

cross multiply

[tex]2<C = AE-BD[/tex]

add BD to both sides of the equation

[tex]2<C+BD = AE-BD+BD\\2<C +BD = AE[/tex]

[tex]AE = 2<C +BD[/tex]

Given

<C = 36°

arc BD = 48°

Substitute the given parameters into the formula;

[tex]AE = 2<C +BD\\AE = 2(36)+48\\AE = 72+48\\AE = 120^0\\[/tex]

Hence mArc is 120°

Answer:

its C, 120

Step-by-step explanation:

got it right on the test

Tall or short? Mr. Walker measures the heights (in inches) of the students in one of his classes. He uses a computer to calculate the following numerical summaries: Mean Std. dev. Min Q1 Med Q3 Max 69.188 3.20 61.5 67.75 69.5 71 74.5 Next, Mr. Walker has his entire class stand on their chairs, which are 18 inches off the ground. Then he measures the distance from the top of each students head to the floor. (a) Find the mean and median of these measurements. Show your work. (b) Find the standard deviation and IQR of these measurements. Show your work.

Answers

Answer:

a. x=69.188 +18 =87.188" (mean)

69.5+18=87.5" (median)

b. Standard deviation=3.20, IQR: 3.25

There's no change because your adding a value to all the data points.

From the data-set, we have that:

a) The mean is of 69.188 inches, while the median is of 69.5 inches.

b) The standard deviation is of 3.20 inches and the IQR is of 3.25 inches.

-----------------

The data-set information is:

The mean is of 69.188 inches.The standard deviation is of 3.20 inches.The minimum height is of 61.5 inches.The first quartile(Q1) is of 67.75 inches.The median is of 69.5 inches.The third quartile(Q3) is of 71 inches.The maximum height is of 74.5 inches.

-----------------

Item a:

The mean is of 69.188 inches, while the median is of 69.5 inches.

-----------------

Item b:

The standard deviation is of 3.20 inches.The IQR is the difference between Q3 and Q1, thus 71 - 67.75 = 3.25 inches.

A similar problem is given at https://brainly.com/question/15565902

7. 85+ (-10) = 95
True or false or open

Answers

Given:

85 + (-10) = 95

Solution:

85 + (-10) = 95

or, 85 - 10 = 95

or, 75 = 95

LHS ≠ RHS

Answer:

It is false.

Answer:

It is false.7.85+(-10) doesn't makes 95

helpppp illl mark u as brainlist​

Answers

Greetings! Hope this helps!

Answer

Spain established colonies in search of God, Gold, and Glory

Have a good day!

_______________

A brainliest would help tons! :D

Answer:

spain

Step-by-step explanation:

Jacob trims trees and mows lawns during the summer months he earns 50$ per lawn and 120$ per tree he wants to purchase a car for 4,500if Jacob plans to mow 45 lawns this summer how many trees must he trim to earn at least 4,500

Answers

Answer:

  at least 19

Step-by-step explanation:

Let t represent the number of trees Jacob needs to trim. He wants ...

  50(45) +120t ≥ 4500

  120t ≥ 2250 . . . . . . . . . subtract 2250

  t ≥ 18.75

Jacob must trim at least 19 trees to earn at least $4500.

What is the soil type that is primarily found on the East Coast of the United States

Need ASAP

Answers

The answer is

Pedalfer

is 5.565656... a rational number

Answers

Answer:

Yes 5.565656 is a rational number

Step-by-step explanation:

How do we know?

Rational: Numbers that end and do not go on forever

Examples:

Decimals that end or repeat (in your case)

Fractions

Whole numbers

Square Roots

Yes, the number 5.565656... is a rational number.

We have,

A rational number is defined as any number that can be expressed as the quotient or ratio of two integers, where the denominator is not zero.

In the case of 5.565656..., it is a repeating decimal.

However, repeating decimals can always be expressed as a fraction.

Let's represent 5.565656... as x:

x = 5.565656...

Now, if we multiply both sides of the equation by 100 (to remove the repeating decimal), we get:

100x = 556.565656...

Subtracting the original equation from the above equation, we have:

100x - x = 556.565656... - 5.565656...

99x = 551

x = 551/99

The fraction 551/99 is a ratio of two integers, and it represents the value of 5.565656....

Therefore,

5.565656... is a rational number.

Learn more about rational numbers here:

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What is the domain of the function

Answers

Answer:

3rd Option

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that our function is y = √x. We know that we cannot plug in negative numbers, as that will give us imaginary i numbers:

[0, ∞) or 0 ≤ x < ∞

A frozen yogurt company charges customers a flat fee of $1.00 plus $0.30 per ounce

Answers

The answer is $1.30 because $1.00 plus $0.30 cent

15 × 83 -29.3=
please help​

Answers

The answer is 1215.7
the answer is 1215.7
steps:
1. multiply the numbers 15x83 which gives you 1245

2. subtract the numbers 29.3 from 1245 (1245-29.3)


answer 1215.7

Graph the following lines and write the equation in slope-intercept form.

Through the point (−8,1) with a slope of 3.

Answers

Answer:

y=mx+b

3=slope

1=y coordinate

-8=x coordinate

b=y intercept

Substitute m for 3

y=3x+b

Next, substitute the coordinate values

1=3(-8)+b

Solve

1=-24+b

+24 +24

25=b

Now substitute b and m for their respective values

y=3x+25

Step-by-step explanation:

please answer this!!

Select all that apply.

Which of the following phrases mean the same thing as "four above zero"?


negative four
four more than zero
four greater than zero
the opposite of positive four
four less than zero
positive four

Answers

Options B, c, and f :))))

Answer:

positive four

Step-by-step explanation:

look 4/0is = to 4 whole number

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