Peter says, "If you subtract 19 from my number and multiply the difference by -3, the result is
- 21." What is Peter's number?
Peter's number is?

Answers

Answer 1

Answer:

26

Step-by-step explanation:

Let the peter's number be represented    x

Given that

1. if you subtract 19 from my number

writing it mathematically it will be x -19

2. multiply the difference by -3

it can be written as

since difference is x-19

multiplied the difference with -3

-3(x-19)

3. the result is -21

-3(x-19) = -21

dividing both side by -3

-3(x-19)/-3 = -21/-3

x-19 = 7

adding 19 both sides

x-19 + 19  = 7 + 19

x = 26

Thus, peter's number is 26.


Related Questions

I need help asap! Ill make you brainiest if answer

Answers

Answer:

43

Step-by-step explanation:

5 × 3 - 7 × -4 =

15 - - 28 =

15 + 28 = 43

Answer:

43

Step-by-step explanation:

5a - 7b if a = 3 and b = -4

= 5(3) - 7(-4)

= 15 - -28

= 15+28

= 43

Se deseneaza o dereapta si pe ea trei puncte A,B si C astfel incat C se afla intre A si B. Atunci numarul unghiurilor improprii distincte determinate de cele trei puncte este egal cu ? CAT MAI RAPID VA ROG!

Answers

No Spanish but can I have Brainly

There is a box with an area of 112 sq inches and a height of 3.5 inches. What is the width of the box?

Answers

Answer:

32 inches

Step-by-step explanation:

Because height times width equals area,

we can divide 112 by 3.5 to get the width

So it is 32 inches

twice a number is three more than nine​

Answers

Answer:

6

Step-by-step explanation:

Let that number be x.

[tex]2x = 9 + 3[/tex]

[tex]2x = 12[/tex]

[tex]x = 6[/tex]

10) A triangle is shown above. Glo Metri claims that the Pythagorean Theorem
can be used to solve for the missing side length x. Is Gio's claim correct? Why or
why not?

A. No, Gio's claim is incorrect because the Pythagorean theorem can only be used
when the side lengths of a triangle are square numbers.

B. No, Gio's claim is incorrect because the Pythagorean theorem can only be used
with a right triangle.

C. Yes, Gio's claim is correct because the Pythagorean theorem can be used to find
the missing side in any triangle.

D. Yes, Gio's claim is correct because the Pythagorean theorem can be used with any
triangle that is approximately right.

Answers

Answer:

B. No, Gio's claim is incorrect because the Pythagorean theorem can only be used

with a right triangle.

Step-by-step explanation:

The pythagorean theorem which is given as a² + b² = c², only applies to right triangles. Where, c is the hypotenuse side length that is opposite to the right angle of the triangle, while a and b are the two other legs of the right triangle.

The triangle given above is not a right angle. The measure of the missing length = 180 - (60 + 40) = 80°.

A right ∆ has an angle measure of 90°. Therefore, the pythagorean theorem cannot be applied in this case to solve for the missing side length, x.

So, Gio's claim is INCORRECT.

What is the slope of the line represented by the equation 2x + 3y= -12. (A)- 3/2. (B)-2/3. (C) 2/3. (D) 3/2

Answers

Answer:

-2/3

Step-by-step explanation:

Here, we need to rearrange the equation into slope intercept form:

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

subtract 2x on both sides:

[tex]3y = -2x-12[/tex]

divide 3 on both sides:

[tex]y = \frac{-2}{3} x + 4[/tex]

Finally, we get it in the form y = mx + b. We know that in that form, m is the slope so that means, the slope is -2/3

Answer:
-2/3

Explanation:
The equation in the question is written in the standard form of a linear equation.

Standard form: Ax+By=C

A, B and C don’t have any direct interpretation on a graph, so we can’t identify the slope or really any information about the line when the equation is in standard form.

To identify the slope from an equation, we have to change it to slope-intercept form.

Slope-intercept form: y=mx+b

Here’s what the variables mean:

Y= the y-coordinate
M=the slope
X=the x-coordinate
B= the y-intercept (the point on the line that intercepts the y-axis)

1) Rearrange the equation
2x+3y=-12
Subtract both sides by 2x to isolate 3y
-2x+2x+3y=-2x-12
3y=-2x-12
Divide both sides by 3 to isolate y
3y/3=-2/3x-12/3
y=-2/3x-4

2) Identify the m variable
The value in place of the m variable in y=mx+b represents the slope. From the equation above, we can see clearly that -2/3x is in place of the m variable. Here’s a comparison:

y=mx+b
y=-2/3x-4

Therefore, the slope of the line represented by the equation 2x+3y=-12 is -2/3.

I hope this helps! Please comment if you have any questions.

this is the last question i need help on! i will mark brainlessttt :)thanks

Answers

Answer:

A.3

Step-by-step explanation:

Since the lines are parallel that angle is 90 same as the other. So you plug in all your answers to see with one gives you 90 that being 3 because 30(3)=90.

Write a positive or negative integer that represents the situation.

An elevator goes down 8 floors.

Answers

Negative because it is going down

Rectangle ABCD has a perimeter represented by the expression 9x + 3. Rectangle PQRS has a
perimeter represented by the expression 6x + 2. Write the expression that represents the
difference in the perimeters of Rectangle ABCD and Rectangle PQRS. Write the steps and
solution.

Answers

Answer:

D. [tex] 3x + 1 [/tex]

Step-by-step explanation:

Perimeter of Rectangle ABCD = [tex] 9x + 3 [/tex]

Perimeter of Rectangle PQRS = [tex] 6x + 2 [/tex]

Difference between perimeter of Rectangle ABCD and Perimeter of Rectangle PQRS:

[tex] (9x + 3) - (6x + 2) [/tex]

Open Parentheses

[tex] 9x + 3 - 6x - 2 [/tex]

Collect like terms

[tex] 9x - 6x + 3 - 2 [/tex]

[tex] 3x + 1 [/tex]

What is 5 8/100
as a decimal?
O
A. 5.008
0
B. 5.08
O
C. 5.8
0 D. 58

Answers

Answer:

5.08

Step-by-step explanation:

5   8/100

Since there are 2 zero's in 100, we need two numbers in the top

Replace 8 with 08 which is the same number

5  08/100

Now write as a decimal

5.08

Answer:

B. 5.08

Step-by-step explanation:

[tex]5\frac{8}{100} = \frac{508}{100}[/tex]  508 ÷ 100 = 5.08

I hope this helps!

Find the surface area of a right cone with a diameter of 6 inches and a slant height of 5 inches.

Answers

Answer:

about 172.82

Step-by-step explanation:

Answer:

83.23

Step-by-step explanation:

to work out surface area of a  right cone u

A=πr(r+h2+r2)

hope this helps

im not sure if its right tho

PLEASEEEEEE HELPPPP!!!!

Answers

3)9.375 and 12 is )37.5

Does this set of ordered pairs represent a function? Why or why not? -1,5), (0, -3), (2, 7), (4,0), (7, 5)) A. No, because two of the y-values are the same. OB. Yes, because there are two xvalues that are the same. OC. Yes, because every xvalue corresponds to exactly one yvalue D. No, because one xvalue corresponds to two different values. ​

Answers

Answer:

C.

Step-by-step explanation:

All the x-values are different and go to one y-value.

Yes this set of ordered pairs represent a function because every x value corresponds to exactly one y value

What are ordered pairs in sets?

A function f from a set A to a set B is a set of ordered pairs {(x, y)} such that x in the set A and y is the in the B. For every x ∈ A there is exactly one y ∈ B such that (x, y) is an ordered pair in f. We call this element f(x). We call A the domain and we call B the range.

How do you determine if a set of ordered pairs are functions?

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.

According to the question

Set of ordered pairs represent a function :

(-1,5), (0, -3), (2, 7), (4,0), (7, 5)

As we can observe that every point have different x value for there respective y ,

and A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate.

Hence, Yes, this set of ordered pairs represent a function because every x value corresponds to exactly one y value

To know more about  ordered pairs in sets here:

https://brainly.com/question/12941484

#SPJ2

324 soldiers queued up such that the number of queues is equal to the number of soldiers in each queue. find the number of queues

Answers

I think so answer will be 164.

How much mixed spice will she need for 6 spice

Answers

Answer:

who

Step-by-step explanation:

name the type of triangle of a b is equal to BC BC is equals to see a is equals to 6 CM​

Answers

Given ,

AB = BC

BC = CA

CA = 6 cm

This is an equilateral triangle as the first side is equal to the second side and the third side is equal to the second side which is equal to the first side . As all the sides are equal to 6 cm , this triangle is said to be an equilateral triangle .

Triangle ABC is an equilateral triangle , where :- AB = BC = CA = 6 cm .

I NEED HELP PLEASE AND SHOW THE WORK PLEASE

Answers

Answer:

6. x = 28 degrees

7.  z = 1.6 cm

Step-by-step explanation:

6.  

Notice that you can use the property that tells us that the addition of all internal angles of a triangle must give 180 degrees, then you write the following equation:

50 + 69 + (2 x +5) = 180

combine like terms:

119 + 2 x + 5 = 180

124 + 2 x = 180

subtract 124 from both sides:

2 x = 56

divide by 2 both sides:

x = 56 / 2

x = 28 degrees

Problem 7.

If the two triangles are congruent, then the side MN must equal side RS.

Since MN  measure 1,8 cm, then RS must also measure 1.8 cm

and we can write the equation:

1.8 = 3 z - 3

adding 3 to both sides:

1.8 + 3 = 3 z

4.8 = 3 z

dividing both sides by 3:

z = 4.8 / 3

z = 1.6 cm

4 1/8÷2 3/4 convert the mixed numbers to improper fractions​

Answers

Answer:

Check picture

Step-by-step explanation:

9514 1404 393

Answer:

  1 1/2

Step-by-step explanation:

  [tex]\dfrac{4\dfrac{1}{8}}{2\dfrac{3}{4}}=\dfrac{\left(\dfrac{4\cdot8+1}{8}\right)}{\left(\dfrac{2\cdot4+3}{4}\right)}=\dfrac{\left(\dfrac{33}{8}\right)}{\left(\dfrac{11}{4}\right)}=\dfrac{\left(\dfrac{33}{8}\right)}{\left(\dfrac{22}{8}\right)}=\dfrac{33}{22}=\dfrac{3}{2}[/tex]

Then the improper fraction 3/2 can be written as the mixed number 1 1/2.

  (4 1/8) / (2 3/4) = 1 1/2

_____

Comment on division of fractions

Fractions can be divided several ways. Two ways that are commonly taught are "invert and multiply", or "match denominators". Here, we have used the second of these methods.

If we were to "invert and multiply", the computation would be ...

  (33/8)(4/11) = (33/11)(4/8) = 3(1/2) = 3/2

Instead, we multiplied 11/4 by 2/2 to make it be 22/8, so having a denominator of 8 matching that of the numerator. Then the value of the compound fraction is the ratio of the numerators:

  (33/8)/(22/8) = 33/22 = (3/2)(11/11) = 3/2

f(x) = x^3- 9x
What is the average rate of change of f over the interval [1, 6]

Answers

Answer:

Step-by-step explanation:

[tex]\frac{f(b)-f(a)}{b-a}[/tex] This is the formula for the average rate of change

over the interval (a, b)

a and b are x values

f(a) ad f(b) think of them as y values

Start calculating f(a) and f(b) a=1 b=6

replace all x's in formula with a, (1)

f(1)=1³-9(1) = 1-9= -8    f(1) = -8

Now do : b (6)

f(6) = 6³ - 9 (6) = 216-54=162 f(6) = 162

now plug everything into your equation

[tex]\frac{f(6)-f(1)}{6-1} =\frac{162- (-8)}{5} =\frac{170}{5} =34[/tex] average rate of change.

notice the 162 - (-8) In math there is no subtraction, and you would change it to + and when you do that you much change the sign of the next value making -8 a +8.

Hope this helps. Good luck!

How do you do these 2 questions?

Answers

Answer:

0 ≤ an ≤ bn

The series ∑₁°° bn converges

The series ∑₁°° an converges by comparison to ∑₁°° bn.

0 ≤ an ≤ bn

The series ∑₁°° bn diverges

The comparison test is inconclusive for our choice of bn.

Step-by-step explanation:

an = 1 / (n² + n + 3) and bn = 1 / n²

The numerators are the same, and the denominator of an is greater than the denominator of bn.  So 0 ≤ an ≤ bn.

bn is a p series with p > 1, so it converges.

Since the larger function converges, the smaller function also converges.

an = (3n − 1) / (6n² + 2n + 1) and bn = 1 / (2n)

If we rewrite bn as bn = (3n − 1) / (6n² − 2n), we can tell that when the numerators are equal, the denominator of an is greater than the denominator of bn.  So 0 ≤ an ≤ bn.

bn is a p series with p = 1, so it diverges.

The larger function diverges.  We cannot conclude whether the smaller function converges or diverges.

What’re these two problems simplified?

Answers

Step-by-step explanation:

-2(3x-12)+4-13

=-6x+24+4-13=-7x-15

=6x-15

4(5x-1)+8x-20=20x-4+8x-20

=28x-24

So this is ur solution.

But if u wnt to solve these eq. together thn it will be:-

6x-15=28x-24

6x-28x=-24+15

-22x=-9

x=22/9=2.44

Hope u like it.

Answer:

-8+9 is problem one

Step-by-st-ep explanation:

· At what point does the value of f(x) exceed the value of g(x) if
f(x)=200(1.194) and g(x) = 8x + 225? Justify your answer with a graph.
Someone help I’m dying

Answers

Step-by-step explanation:

hope this helps, good Luck xD.

Write an inequality representing the following phrase:
One-tenth of a number h is less than or equal to ten

Answers

Answer:

[tex]\frac{1}{10} h\leq 10[/tex]

Step-by-step explanation:

Basically, we are just translating the phrase into an algebraic expression.


A person with a height of 2 meters stand near a tree. The tree casts a shadow that is 30 meters long and the person has a shadow that is 3
meters long. What is the height of tree

Answers

9514 1404 393

Answer:

  20 m

Step-by-step explanation:

The 30 m shadow of the tree is 10 times the 3 m length of the person's shadow. We expect the tree to be 10 times as tall as the person:

  10(2 m) = 20 m . . . height of the tree

8x - 9 = - 2x + 11 ​

Answers

Answer:

10/3

3.333333

3  1/3

Step-by-step explanation:

hope this helps

What are the slopes of the perpendicular lines?

1: y=-5/2x-8
2: y=5x
3: y=3x-8

Answers

Answer:

1. 2/5

2. -1/5

3. -1/3

Step-by-step explanation:

the parpendicular slope is found by taking the original slope and finding the opposite reciprocal. so just flip the slope and make it the opposite sign

-5/2  --->    2/5

+5/1  --->    -1/5

+3/1  --->    -1/3

Answer:
1. 2/5
2. -1/5
3. -1/3

Explanation:
There are two key concepts that we have to understand in order to answer this question:

1) The given equations are organized in slope-intercept form: y=mx+b. Here’s what the variables mean:

Y= the y coordinate
M=the slope
X= the coordinate
B= the y intercept

From the given equations we can now identify the slopes as -5/2, 5 and 3.

2) Perpendicular lines have slopes that are NEGATIVE RECIPROCALS of each other.

Example: Line A has the slope 8. A line that is perpendicular to line A would have a slope of -1/8.

Example #2: Line B has the slope -2/3. A line that is perpendicular to line B would have a slope of 3/2 (two negatives make a positive).

Now that we understand these two concepts, we need to look at the slopes of the given lines and determine their negative reciprocals to find the slopes of their perpendicular lines.

1. y=-5/2x-8
We can see that -5/2 is in the place of “m” in y=mx+b. The negative reciprocal of -5/2 is 2/5, so therefore, the slope of the line perpendicular to y=-5/2x-8 is 2/5.

2. y=5x
There is no “b” value in this equation, but we can still identify 5 as “m”. The negative reciprocal of 5 is -1/5, so therefore, the slope of the line perpendicular to y=5c is -1/5.

3. y=3x-8
The negative reciprocal of 3 is -1/3, so therefore, the slope of the line perpendicular to line y=3x-8 is -1/3.

I hope this helps! Please comment if you have any questions.

Evaluate each expression for s=4 and t=8
1) (25)^2t
2) 2st^2-5^2
3) 2s^2-t^3/16

Answers

Answer:

1. 2.328×[tex]10^{22}[/tex]

2. 487

3. 30.52  OR  0 (see explanation↓)

Step-by-step explanation:

1.[tex](25)^{2t}[/tex]

(sub for t=8)

=[tex]25^{2*8}[/tex]

=[tex]25^{16}[/tex]

=2.328×[tex]10^{22}[/tex]

2.[tex]2st^{2} -5^{2}[/tex]

(sub for s=4 and t=8)

=2×4×[tex]8^{2}[/tex]-[tex]5^{2}[/tex]

=512-25

=487

3.[tex]2s^{2} -t^{3/16}[/tex] (the equation is not clear so I will do [tex]2s^{2} -\frac{t^{3} }{16}[/tex] as well)

FOR [tex]2s^{2} -t^{3/16}[/tex]

(sub s=4 and t=8)

=2×[tex]4^{2}[/tex]-[tex]8^{3/16}[/tex]

=32-1.476826146

=30.52 (to the nearest 2 decimal place)

FOR [tex]2s^{2} -\frac{t^{3} }{16}[/tex]

(sub s=4 and t=8)

=2×[tex]4^{2}[/tex]-[tex]\frac{8^{3} }{16}[/tex]

=32-32

=0

Al changes saved
4. Ten students in your class put their names on slips of paper inside a box. Out of the ten students, four
are girls, and six are boys. Five names are chosen.
What is the probability that three girls and two boys are chosen?
O 7.14%
350%
O 1.90%
O 23.81%

Answers

Answer:

1.90 percent

Step-by-step explanation:

Convert the measurement:
3 inches to centimeters
O 7.00 cm
0 2.78 cm
O 8.21 cm
O 7.62 cm

Answers

Step-by-step explanation:

ans is 7.62

1 inch =2.54cm

2.54 multiplied by 3=7.62

if m<2 = 115 degrees what is m<1 ? (There you go)

Answers

Answer:

65

Step-by-step explanation:

180 - 115 = 65

This is the easiest way to think about and do it but your teacher might want you to do it a different way.

Answer:

65

Step-by-step explanation:

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