The sum of three numbers is 11 . The sum of twice the first​ number, 5 times the second​ number, and 6 times the third number is 44. The difference between 4 times the first number and the second number is 10. Find the three numbers.

In a parallelogram, angles that are opposite each other (as in, in opposite corners) are congruent. Angles that are next to each other (as in, on the same side) are supplementary.

It is very easy to solve for the value of y first because the expression is across from a known angle. Because these angles are opposite each other, they are congruent.

83 = 5y - 7

90 = 5y

y = 18

We can also use the same 83 degree angle to solve for the other two variables. 83 is on the same side as both of the remaining expressions, separately. As such 83 and another angle on the same side will add up to 180.

83 + -5x - 3 = 180

80 - 5x = 180

-5x = 100

x = -20

83 + z - 7 = 180

90 + z = 180

z = 90

Hope this helps!

Step-by-step explanation:

i will go you in the bank in co2 in the man

point (2 ; 0) on Cf so f(2) = 0

point (0 ; 4) on Cf so f(0) = 4

point (-2 ; 0) on Cg so g(-2) = 0

Let's solve

[tex]\\ \rm\rightarrowtail -2.5(1.4+3.1)+6.9(-4.3)[/tex]

[tex]\\ \rm\rightarrowtail -3.5-7.75-29.67[/tex]

[tex]\\ \rm\rightarrowtail -11.25-29.67[/tex]

[tex]\\ \rm\rightarrowtail -40.92[/tex]

Both did error in signs

Answer:

Given expression:

-2.5(1.4+3.1) + 6.9(-4.3)

Student P

Step 1:  -3.5 + 7.75 + 6.9(-4.3)

Step 2: -3.5 + 7.75 - 29.67

Step 3: 7.75 - 3.5 - 29.67

Step 4: -25.42

Student P made an error in step 1.  When expanding the first part of the expression, they forgot the negative sign when multiplying -2.5 by 3.1.  

So Step 1 should be:  -3.5 - 7.75 + 6.9(-4.3).  

This error then impacted all following steps and gave an incorrect final solution.

Student Q

Step 1: -3.5 - 7.75 + 6.9(-4.3)

Step 2: -3.5 - 7.75 - 29.67

Step 3: -(3.5 - 7.75 - 29.67)

Step 4: -(-33.92)

Step 5: 33.92

Student Q made an error in step 3.  When placing the numbers in parentheses and placing a negative sign outside the parentheses, they should have changed the two negative signs inside the parentheses to positives.

So Step 3 should be: -(3.5 + 7.75 + 29.67).  

This error then impacted all following steps and gave an incorrect final solution.

Correct steps and solution

Step 1:  -3.5 - 7.75 + 6.9(-4.3)

Step 2: -3.5 - 7.75 - 29.67

Step 3: -(3.5 + 7.75 + 29.67)

Step 4: -(40.92)

Step 5: -40.92

Answer:

Y2-Y1

____

X2-X1

To FIND SLOPE. YOU DIVED THE DIFFERENCE OF THE Y- COORDINATES OF 2 POINTS ON LINE BY THE DIFFERENCE OF THE X- COORDINATES OF THOSE SAME 2 POINTS.

I THINK IT IS HELPFUL FOR YOU.?

Answer:

150 minutes

Step-by-step explanation:

Total plants are 16 and only 5 can be placed in one go. so total number of rounds for the plants will be: 16/5 = 3.2 rounds

As there are 3.2 rounds to go in 8 hours, so the time for 1 round will be: 8/3.2= 2 hours and 30 minutes

Answer:

150 minutes

Step-by-step explanation:

16/5 = 3.2  turns

8 hours /3.2 turns  = 2.5 hours (150 minutes)

Answer:

The answer is a (4,6) :)

0,4

2,5

4,6

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Step-by-step explanation:

Area = 63.9 inches²

Answer:

[tex]\sf 11,600,000,000,000 = 1.16 \times 10^{13}[/tex]

[tex]\sf 307,000,000=3.07 \times 10^{8}[/tex]

[tex]\sf 3.78\times 10^{4}[/tex]

Step-by-step explanation:

Scientific notation:  [tex]\sf a \times 10^b[/tex]

(where [tex]\sf 1 \leq |a| < 10[/tex] and b is the power of 10 required so that the notation is equivalent to the original number)

Move the decimal point back 13 places then multiply by [tex]\sf 10^{13}[/tex]:

[tex]\sf 11,600,000,000,000 = 1.16 \times 10^{13}[/tex]

Move the decimal point back 8 places then multiply by [tex]\sf 10^{8}[/tex]:

[tex]\sf 307,000,000=3.07 \times 10^{8}[/tex]

Divide the total debt by the population to calculate how much each person would owe if the debt was divided equally among everyone in the US:

[tex]\sf \dfrac{11,600,000,000,000}{307,000,000}=\dfrac{1.16 \times 10^{13}}{3.07 \times 10^{8}}=\dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}[/tex]

Apply exponent rule [tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]

[tex]\sf \dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}=0.3778501629... \times 10^{13-8}[/tex]

                   [tex]\sf =0.378\times 10^{5}[/tex]

                   [tex]\sf =3.78\times 10^{4}[/tex]

(remembering that the first part "0.378" needs to be equal to or greater than 1, but smaller than 10)

Answer:

x = 155

Step-by-step explanation:

[tex]\sqrt{x-11} +7=19[/tex]

[tex]\sqrt{x-11} =12[/tex]

[tex](\sqrt{x-11} )^2=12^2[/tex]

[tex]x-11=144[/tex]

x = 155

Answer:

128° is the correct answer...

Step-by-step explanation:

mark me brainliest

Answer:

What?

Step-by-step explanation:

is this your whole question?

Answer:

y=-x-3

Step-by-step explanation:

I think it's 16.5lbs I'm sorry if I'm wrong I don't know for sure

Answer:

C

Step-by-step explanation:

Answer:

n=12

m=5

Step-by-step explanation:

n= 12 since they are parallel and equal

m+1=6 since they are parallel and equal

Opposite sides are equal in a paralleogram

And

Done!

Answer:2 is a solution 3 is not 0 is not 10 is and also to determine the solution you can get calculator soup to help you Hope this helps bye

Answer:

4

Step-by-step explanation:

We can see that 9 households are represented in the data, 4 of them are zeros. This means 4 households in Cam's neighborhood have 0 children.

Answer:

-0.125

Step-by-step explanation:

Shown in the image above

Answer:

Step-by-step explanation:

Answer:

6 x 8 = 48

Step-by-step explanation:

(1)

If there are three times as many males as females, the ratio of males to females would be 3:1.

To make this more clearer. Suppose you have 100 students. for each 4 students, 3 of them are male and 1 is a female.

We can then say there are 75 males and 25 females.

Expressing this as a ratio(fraction) is easy 3 out of 4 are males and 1 out of 4 are females. So the ratio of males would be;

[tex]r(m) = \frac{3}{4} [/tex]

(2)

Let x be the number of cola bottles

Let y be the number of smarties

Let z be the number of marshmallows

x=3y (since there are 3 times more x than y)

y=2z (since there are 2 times more y than z)

we know that marshmallows are twice as less as smarties. so for 1 marshmallow you'd have 2 smarties. But we also know that cola bottles should be 2×3=6 since we have 3 times more cola bottles than smarties.

Adding up our total sweets we get;

1+2+6=9

But how many of those are cola bottles? 6!

So the ratio of cola bottles can be expressed as,

[tex]r(c) = \frac{6}{9} = \frac{2}{3} [/tex]

You can simplify the numerator and denominator by 3 to get 2 over 3.

Answer:

C. (3 1/4 + 2 1/2 + 1) + (3 1/4 + 2 1/2+ 1)

Step-by-step explanation:

Since, this week you practice your instrument for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday.

And, next week you practice for the same number of hours.

Same number = (3 1/4 + 2 1/2 + 1)

Thus, [C] (3 1/4 + 2 1/2 + 1) + (3 1/4 + 2 1/2+ 1) is correct.

~Lenvy~

Answer:

[C} [tex]\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex]

Step-by-step explanation:

Given:

this week you practice your instrument for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday.

Next week you practice for the same number of hours.

To Find:

What is the total number of hours you will have practiced over these six days?

Which expression correctly shows how to solve this problem

Solve:

Knowing that you practice for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday. Next week you practice the same. Thus, we can know that [C} [tex]\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex] is the correct answer.

Solution if needed.

[tex]\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex]

[tex]=\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)[/tex]

= [tex]\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(\frac{13}{4}+2\frac{1}{2}+1\right)[/tex]

[tex]=\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(\frac{13}{4}+\frac{5}{2}+1\right)[/tex]

[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]

[tex]=\frac{27}{4}+\left(\frac{13}{4}+\frac{5}{2}+1\right)[/tex]

[tex]=\frac{27}{4}+\frac{27}{4}[/tex]

[tex]=\frac{27}{2}[/tex]

[tex]=13\frac{1}{2}[/tex]

Solution ⇒ [tex]=13\frac{1}{2}[/tex]

[RevyBreeze]

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

     *look at the image I attached for a better explanation

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

    [tex]?^2+9^2 = 16^2\\?^2 + 81 = 256\\?^2 = 175\\? = 13.2[/tex]

Thus the missing side length is 13.2 cm

Hope that helps!

Answer:

  B.  21 miles

Step-by-step explanation:

The shortest overall route will be the sum of the shortest routes between way points.

The shortest route from the High School to the Airport is the direct route, 15 cm on the map. The shortest route from the Airport to Jill's house is via the High School and City Hall, a total of 15+12+21 = 48 cm on the map.

The shortest distance Jill can travel from work to home via the airport is ...

  (15 cm +48 cm)/(3 cm/mi) = 21 miles

Answer:

person above is correct it is 21

Answer: HELLO THERE!  Here's what I found from study dot  com            "4 divided by 5 is equal to 0.8. This decimal can also be written as a fraction. 0.8 = eight tenths or 8/10 (4/5 in its reduced form)."

Step-by-step explanation:

Hope this helps, have a good day!

Answer:

No

Step-by-step explanation:

1 foot = 12 in.

3 feet = 36 in.

36 / 9 is 4

4 is an integer

Therefore, none will be left

Answer:

No , there will not be any piece left

Step-by-step explanation:

No of feet :- 3 feet which is 36 inches

If we cut of 36 inches in part each of 9 inch we will get 4 parts of 9 inch

36/9 :- 4

4 is complete no. , so there wouldn't be any piece left .

Answer:

90

Step-by-step explanation:

I'm not sure about the answer