Write an inequality to represent "7 less than one sixth of a number is at most 45."

Answer:

x = 26

Step-by-step explanation:

1. Information

One can partition this figure into three different parts, two congruent triangles, and one rectangle. To find the value of x, one has to find the base of the two triangles, and then the base of the rectangle. Since opposite sides are congruent, the base of the rectangles is 10. To find the base of the triangle, one has to use the Pythagorean theorem.

2. Base of the rectangle

Again, opposite sides are congruent, hence the base of the rectangle is equivalent to the top part. Hence the base is 10.

3. Base of the triangle

Use the Pythagorean theorem;

[tex]a^{2}+b^{2} = c^{2}\\a-leg\\b-leg\\c-hypotenuse[/tex]

Substitute in the given value and solve

[tex]a^{2}+15^{2} = 17^{2}\\a^{2} + 225 = 289\\a^{2} = 64\\a = 8[/tex]

4. Finding x

There are two congruent trinagles, hence one has to add the base of the triangle twice. The equation will be

x = base_of_triangle + base_of_rectagle + base_of_triangle

x = 8 + 10 + 8

x = 26

Answer:

260 lb

Step-by-step explanation:

180/9=20

13*20=260

Answer:

Step-by-step explanation:

Use the ratio

Simplify

Find the weight x on Earth of the person with weight 13 lb on Mars:

Answer:

(2,-5)

Step-by-step explanation:

Answer:

im not sure...cuz it says 50%

its either 11.625 or 5.8125

it is the 1st one if the question means all average but if not PROBABLY only PROBABLY the right one

Step-by-step explanation:

I added all the hours together and divided it by 24 to get 11.625 but if the ans is 5.1825 ill divide 11.625 over 2

Answer:

16

Step-by-step explanation:

Answer:

5) 6cm 6)J

Step-by-step explanation:

5) 30/7.5=4

24/4=6

6) J=P

K=Q

L=R

M=S

Answer:

No.

Step-by-step explanation:

Price of each pretzel = $3.25

Price of each drink = $1.85

Price of each bag of popcorn = $0.99

Maximum money to be spent = $10

Price of two pretzels = $3.25 [tex]\times[/tex] 2 = $6.5

Price of two drink = $1.85 [tex]\times[/tex] 2 = $3.70

Price of two bags of popcorn = $0.99 [tex]\times[/tex] 2 = $1.98

Total money spent for buying two items of each type = $6.5 + $3.70 + $1.98 = $12.18

The money spent when 2 pretzels, 2 drinks and 2 bags of popcorn are bought is $12.18.

But maximum money available is $10.

Therefore, Clare would not be able to buy 2 pretzels, 2 drinks and 2 bags of popcorn with the amount of money available.

Answer:

3/5

Step-by-step explanation:

The equation of a line is written as

y = mx + b where

m is the slope

b is the y-intercept.

We put the given equation above in that form

10x + 6y = - 84

6y = -10x - 84

Divide both sides by 6

y = -10x/6 - 84/6

y = -5x/3 - 14

y = -5/3x - 14

The slope of this line is -5/3

But we are told that: the slope of the line is perpendicular to the line

Hence: we find the reciprocal of , -5/3

This is = 3/5

Therefore, the slope of a line perpendicular to the line whose equation is 10x + 6y = −84 is 3/5

Answer: the third one

Step-by-step explanation:Hope this is correct

Answer:

I would say 800, sorry if it was wrong

Step-by-step explanation:

She ran the most on 800

Answer:

d. 45%

Step-by-step explanation:

According to the frequency table there are 30 sudents who like rock in grades 9-10 and 25 students that like rock and are in grades 11-12.

25 ÷ 55 = n ÷ 100          

25 · 100 = 55 · n      

2500 ÷ 55 = n         n  = 45.454545        n = 45%

55 is the total amount of students that like rock

25 is the total amount of students that like rock in grades 11-12

100 is the total percentage

Answer:

f= -4x-7/x

Step-by-step explanation:

Answer:

16 miles an hour

Step-by-step explanation:

40 / 2.5 = unit rate

Answer:

16

Step-by-step explanation:

40÷2.5=16

So 1 hour is 16 because if you multiply it by 2.5 it is right.

(2×16)+(16×0.5)=40

32+8=40.

Answer

Step-by-step explanation:

i dont know but pls dont hate me no one anserd for 15 hours so i took some points

Answer:

(3x−27)o

Step-by-step explanation:

we know that

m\angle BEC=m\angle AEDm∠BEC=m∠AED ----> by vertical angles

we have

m\angle BEC=(2x+3)^om∠BEC=(2x+3)o

The value of x is given

x=30

so

m\angle BEC=(2(30)+3)=63^om∠BEC=(2(30)+3)=63o

That means that the measure of angle AED is also 63 degrees

so

The expression that could represent the measure of Angle A E D is

(3x-27)^o(3x−27)o

because

For x=30

(3(30)-27)=63^o(3(30)−27)=63o

Answer:

(3x−27)o

Step-by-step explanation:

Step-by-step explanation:

-7x-36=20-3x

-36-20=-3x+7x

-56=4x

-56/4=X

-14=X

X=-14 answer

Answer:

16

Step-by-step explanation:

128/8 = 16

n= 16

The value of n is equal to 16.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

WE are given an expression as;

8n = 128

We need to find the value of n.

8n = 128

n= 128/8 = 16

n= 16

Hence, the value of n is equal to 16.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

Answer:

the answer is: 3, 4

Step-by-step explanation:

those numbers meet in the circle where it supposed to go

Answer:

last option. absolute value doesnt matter whether it is positive or negative

Step-by-step explanation:

Answer:

It is c you are subtracting for the 4 pack of muffins

Answer:

C

Step-by-step explanation:

Assuming that m represents the cost, the correct answer would be C because you are buying 4 packs of muffins and you are subtracting 2 dollars. This is very hard to explain, it's easier to explain with numbers.

Let's assume that each pack of muffins is 2 dollars. Since we are buying 4 packs, we would multiply the number of packs (4) by the amount each pack costs (2). Then since we have a 2 dollar coupon, we subtract two dollars off of the price, so the equation would be 4(2)-2 where 2 represents m.

It wouldn't make sense to add two dollars because we have a coupon, so we're saving money, not adding money.

and it wouldn't make sense for the coupon to be saving more money by how much the cost of the muffin is, otherwise we would get it for free!!

The only logical answer is C because we are saving money and 4m represents the amount of money we are spending on the muffins.

Answer:

y=7x+5

Step-by-step explanation:

Answer:

Option B.   7

Step-by-step explanation:

In order to solve this question we first have to find out what is the difference between the prices of a pen and a pencil. SO we get...

60 - 4- = 20 cents

Now if we were to assume that all 17 items were pencils then Diane would pay....

17 x 0.40 = $6.8

But then he pays 8.2-6.8 = $1.4 less than he should be.

If we substitute one pencil with a pen the total will increase by 20 cents. From here we can easily get the number of pens by doing the following...

1.4 / 0.2 = 7 pens

Therefore option B is the right answer.

Diane purchased 7 pens and 10 pencils.

The selling price of pens is 60 cents each ($0.6) while it is 40 cents each for pencils ($0.4).

Let x represent the number of pens bought and y represent the number of pencils.

Since a total of 17 items was bought for $8.20, hence:

x + y = 17   (1)

0.6x + 0.4y = 8.2   (2)

Solving equations 1 and 2 gives:

x = 7, y = 10

Therefore Diane purchased 7 pens and 10 pencils.

Find out more at: https://brainly.com/question/24169758

Answer:

112

Step-by-step explanation:

234:2=117

117+5=122

--->234-122=112

Answer:

Abdullah is 46.8 years old.

Step-by-step explanation:

Umer is 5 years old and the product of their ages is 234 so that means Abdullah is 46.8 years old.

5*46.8 = 234

Answer:

x=10

Step-by-step explanation:

Using Pythagoras theorem

H^2=O^2+A^2

26^2=24^2+A^2

676= 576+A^2

676-576= A^2

100= A^2

square root both sides

10= A

Therefore, x=10

Answer:

Hi! The correct answer is 7x=-3!

Step-by-step explanation:

~Write in standard form~

Answer:

Step-by-step explanation: D. None of the above

Question:

Sue is thinking of a number 3/8 of 88 = 1/3 of her number

what number is she thinking of

Answer:

[tex]x = 99[/tex]

Step-by-step explanation:

Represent the number with x.

So, we have:

[tex]\frac{3}{8} * 88 = \frac{1}{3} *x[/tex]

Multiply through by 3

[tex]3 * \frac{3}{8} * 88 = \frac{1}{3} *x * 3[/tex]

[tex]3 * \frac{3}{8} * 88 = x[/tex]

[tex]3 * 3 * 11 = x[/tex]

[tex]99= x[/tex]

[tex]x = 99[/tex]

Hence, she is thinking of 99