Find three consecutive integers whose sum is 24.

Answer: B

Step-by-step explanation:

Let's work this problem backwards. So, if he has y dollars left after spending 25% the second time or 3/4 of the money left. So, inverse it to get  [tex]\frac{4}{3}[/tex]y. Then, do the same for 20% or 4/5, then 4/3y * 5/4 = 5/3y

Answer:

7.75

Step-by-step explanation:

By Geometric mean property:

[tex] GH = \sqrt {a \times b} [/tex]

[tex] GH = \sqrt {3 \times 20} [/tex]

[tex] GH = \sqrt {60} [/tex]

[tex] GH = 7.74596669[/tex]

[tex] GH \approx 7.75[/tex]

Answer:

x= 6

Step-by-step explanation:

[tex]\frac{1}{3}x^{2}-5=7\\[/tex]

Add 5 to both sides

[tex]\frac{1}{3}x^{2}-5+5=7+5\\\\\frac{1}{3}x^{2}=12\\[/tex]

Multiply both sides by 3

[tex]3*\frac{1}{3}x^{2}=12*3\\\\x^{2}=36\\[/tex]

x² = 6*6

Take square root,

√x² =√6*6

x = 6

Answer:

B

Step-by-step explanation:

2 units to right and 1 up

Answer:

Alisa practiced for 240 minutes (4 hours). In total, they practiced for 288 minutes (4.8 hours).

Step-by-step explanation:

If James practiced for 48, and Alisa practiced 5 times as long, then we would multiply 48 by 5 (240 minutes).

If we want to find how many minutes in total they practiced, then we would add 240 minutes (Alisa's practice time) and 48 minutes (James' practice time) together, which would equal 288 minutes (4.8 hours).

Equation: y=48+x

Answer:

702*10-4

7020-4(because first we should do multiplication)

7016

stanndard notation=7.016

Answer: B: 8*1 = 8

Step-by-step explanation:

The identity property of multiplication says that:

There exist a number, called the identity, such that when we multiply any real number N by this identity, the result is the same number N.

The identity is 1.

then N*1 = N.

The option that is an example of that is:

8*1 = 8.

Option B

Answer:

6) C

8) A

Step-by-step explanation:

6) A=(base*height)/2 is the formula for a triangle.

8) yes

6. The formula that can be used to find the total amount of paint she will need if the entire space is painted is C) A= (8)(9)/2.

The area of the triangle is given as,

Area = (1/2)*(base)*(height)

Now it is given that,

Base of space = 8 feet

Height of space = 9 feet

Thus,

Area of the space = (1/2)*(base of space)*(height of space)

⇒ Area of the space = (1/2)*(8)*(9)

or, Area of the space =  (8)(9)/2

⇒ Area of the space = 36 square feet

Thus, the formula that can be used to find the total amount of paint she will need if the entire space is painted is C) A= (8)(9)/2.

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8. The properties use to solve the equation 4x + 2 = 18 is C) The inverse property of addition and then the inverse property of multiplication.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given equation is,

4x + 2 = 18

To solve the equation first using inverse property of addition

4x = 18 - 2

4x = 16

Now using inverse property of multiplication we get,

4x/4 = 16/4

x = 4

this is the required value of x.

Thus, the properties use to solve the equation 4x + 2 = 18 is C) The inverse property of addition and then the inverse property of multiplication.

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Answer:

x = 8 units.

Step-by-step explanation:

We'll begin by calculating the length of the two squares attached to the triangle.

From the question given above, the areas of the two square are the same i.e 32 units². Therefore, the length of the two square will be the same.

Now, we shall determine the length of the square as follow:

Area of square (A) = 32 units²

Length (L) =?

Area of square (A) = Length (L) × Length (L)

A = L × L

A = L²

32 = L²

Take the square root of both side

L = √32 units

Therefore, the length of the square is √32 units. This implies that the length of both side of the triangle is √32 units

Now, we shall determine the value of x using pythagoras theory.

From the diagram above we can see that x is the Hypothenus i.e the longest side. Thus, the value of x can be obtained as follow:

x² = (√32)² + (√32)²

x² = 32 + 32

x² = 64

Take the square root of both side

x = √64

x = 8 units.

Therefore, the value of x is 8 units.

Answer:

[tex]\Huge \boxed{300 \° }[/tex]

Step-by-step explanation:

A revolution is 360 degrees.

5/6 of a revolution is 5/6 of 360 degrees.

5/6 × 360 = 300

Answer:

64/7 years

9.143 years

Step-by-step explanation:

[tex]Simple Interest = \\ \frac{Principal \times Rate \times Time}{100} [/tex]

[tex]Time = \frac{simple \: interest \times 100}{Principal \times Rate} [/tex]

[tex]Principal = 400 \\ Rate = 14 \\ Time = \\ simple \: interest = 512[/tex]

Input the values

[tex]Time = \frac{512 \times 100}{400 \times 14} \\ Time = \frac{51200}{5600} \\ [/tex]

[tex]Time = \frac{64}{7} \\ Time = 9.142 \: years \\ best \: answer \: = \frac{64}{7} years[/tex]

Answer:

(2, 10)

Step-by-step explanation:

y = (x - h)² + k

vertex = (h, k)

= (2, 10)

Answer:

[tex]3\frac{1}{5}[/tex]

Step-by-step explanation:

there are 3 5s in 16, and 1 remainder.

So, you write the remainder in the numerator, and 3 as a whole number.

To check, you can do:

5✖️3=15+1=16

Answer:

Solution : (- 9, - 3)

Step-by-step explanation:

Approach 1 : Imagine that this point (3, - 9) is rotated 90 degrees clockwise. We know that this point lies in the fourth quadrant, so if it is rotated 90 degrees, you can imagine the x - coordinate will be greater than the y - coordinate, if you take their absolute value(s). Remember that the new coordinates will also lie in the third quadrant. Based on these requirements we have the resulting point (- 9, - 3) or option c.

________________________________________

Approach 2 : There is another approach to this, a more exact approach.

Rotation of axis, θ : (x, y) --> (X, Y)

X = xcos(θ) + ysin(θ),

Y = - xsin(θ) + ycos(θ)

Here θ = 90 degrees. Substitute and solve for the exact coordinates.

X = 3cos(90) + - 9sin(90) = 3cos(90) - 9sin(90) = 3 * 0 - 9 * 1 = - 9,

Y = - 3sin(90) + - 9cos(90) = - 3sin(90) - 9cos(90) = - 3 * 1 - 9 * 0 = - 3

As you can see our solution is the same, (- 9, - 3), or option c.

Answer for the first box = -31.67

Answer for the second box = 17.22

===============================================

Work Shown:

Plug in F = -25 and solve for C

F = (9/5)C+32

-25 = (9/5)C + 32

(9/5)C + 32 = -25

(9/5)C = -25-32 ... subtract 32 from both sides

(9/5)C = -57

C = (5/9)*(-57) ... multiply both sides by 5/9, its the reciprocal of 9/5

C = -31.667 approximately

C = -31.67 rounding to 2 decimal places

This shows that -25 degrees F converts to roughly -31.67 degrees C.

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

Repeat the same basic steps, but now use F = 63

F = (9/5)C+32

63 = (9/5)C+32

(9/5)C+32 = 63

(9/5)C = 63-32

(9/5)C = 31

C = (5/9)(31)

C = 17.222 approximate

C = 17.22

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

If the temperature ranges from -25 degrees F to 63 degrees F, then this converts to the range of roughly -31.67 degrees C to 17.22 degrees C

10:11 A.M

11:00 A.M is 11 hours from 12 A.M (12 midnight)

11:00 A.M is 11 hours from 12 A.M (12 midnight)1 hour 29 minutes + 1 hour 15 minutes

11:00 A.M is 11 hours from 12 A.M (12 midnight)1 hour 29 minutes + 1 hour 15 minutes= 2 hours 49 minutes

11:00 A.M is 11 hours from 12 A.M (12 midnight)1 hour 29 minutes + 1 hour 15 minutes= 2 hours 49 minutes11 hours - 2 hours 49 minutes

11:00 A.M is 11 hours from 12 A.M (12 midnight)1 hour 29 minutes + 1 hour 15 minutes= 2 hours 49 minutes11 hours - 2 hours 49 minutes= 10 hours 11 minutes = 10:11 A.M

Therefore, she can start making the cake batter from 10:11 A.M.

Hope it helps you.

9:25 am is the latest time she can start making the cake batter

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

Given that Meg is going to make a cake for her mother's birthday.

The time to bake make the cake batter is 1 hour 15 minutes.

This we can take only in minutes

1 hour = 60 minutes

So 60+15 =75 minutes to make the batter.

the cake needs to bake in the oven for 1 hour and 20 minutes

60+20=80 minutes.

Meg wants the cake to be out of the oven by 11:00 A.M.

We need to find the latest time to start the cake.

Let us find the total time to make the cake

80+75=155

155 minutes means 2 hrs 35 minutes.

Now we have to remove 2 hrs 35 minutes from 11:00 am

Which 9 hours 25 minutes.

Hence, 9:25 am is the latest time she can start making the cake batter

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Answer:

[tex]3 \frac{7}{9}[/tex]

Step-by-step explanation:

We know that the first digit of 3.7, 3, will just be a 3.

However, if we have [tex].\overline{77}[/tex], we have to know what gets this.

If we have a number over 9, it will be that number repeating (excluding 9 itself).

So if we have .77 repeating, it would have to be [tex]\frac{7}{9}[/tex], adding 3 to this gets us [tex]3 \frac{7}{9}[/tex].

Hope this helped!

A relation is a function if each element of the domain is paired with exactly one element of the range. ... If given a table, or a set of ordered pairs, you can look to see if any value of the domain has more than one corresponding value in the range.

tbh google

Step-by-step explanation:

Hey, there!!

Let's simply work with it,

Here,

In figure ABC,

let a= 14

b= 19

and c= 8.

Using cosine rule,

[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.cosc[/tex]

putting value of all we get,

[tex] {8}^{2} = {14}^{2} + {19}^{2} - 2 \times 14 \times 19 \times cosx[/tex]

Now, simplifying them we get,

[tex]64 = 196 + 361 - 532.cosx[/tex]

[tex]532cosx = 557 - 64[/tex]

[tex]or \: 532cosx = 493[/tex]

[tex]or \: cosx = \frac{493}{532} [/tex]

cosx= 0.926691

Putting cos inverse,

[tex]x = {cos}^{ - 1} (0.926691) [/tex]

Therefore, x= 22.0752°

By rounding off we get,

x= 22° { as 0 is smaller than 5 itsvalue dont change}.

Hope it helps....

Answer:

214.6

Step-by-step explanation:

214.557 -> 214.6

Two hundred fourteen and five hundred fifty-seven thousandths to the nearest tenth​ will be 214.6.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

Two hundred fourteen and five hundred fifty-seven.

The expression in mathematical form thousandths to the nearest tenth​, we have

⇒ 514.557

⇒ 214.6

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Answer:

repeating decimal/number

Step-by-step explanation:

If you divide 11 by 24, you get 0.458333333...

The 3 gets repeated, so 11/24 is a repeating decimal/number

Answer:

               [tex]\bold{m\ =\ \dfrac5{(p-r)n}}[/tex]

Step-by-step explanation:

                                             [tex]\bold{r+\dfrac5{mn}\ =\ p}\\\\ {}\quad-r\qquad-r\\\\{}\ \ \bold{\dfrac5{mn}\ =\ p-r}\\\\{}\ ^{_\times}(mn)\quad ^{_\times}(mn)\\\\{}\quad\bold{5\ =\ (p-r)^{_\times}(mn)}\\\\\div(p-r)\quad\div(p-r)\\\\{}\ \ \bold{\dfrac5{p-r}\ =\ mn}\\\\{}\quad \ \div n\quad\ \ \div n\\\\\bold{\dfrac5{(p-r)n}\ =\ m}[/tex]

If you mean (r+5)/mn then:

[tex]\bold{\dfrac{r+5}{mn}\ =\ p}\\\\{}\ ^{_\times}(mn)\quad ^{_\times}(mn)\\\\{}\ \bold{r+5\ =\ pmn}\\\\\div(pn)\quad\div(pn)\\\\{}\ \ \bold{\dfrac{r+5}{pn}\ =\ m}[/tex]

If you double the amount of fluid ounces, then the amount of cups will double as well. This is a true statement.

Consider the statement "there are 8 fluid ounces in one cup" to be written as the equation

8 fluid ounces = 1 cup

We can multiply both sides by 2 to get

16 fluid ounces = 2 cups

We must multiply both sides by the same number to keep the equation the same (keep things balanced).

Answer:

[tex]1 \frac{1}{15}[/tex]

Step-by-step explanation:

Hey there!

Well when dividing fractions you need to use Keep, Change, Flip.

[tex]\frac{8}{6} / \frac{5}{4}[/tex]

Keep, Change, Flip

[tex]\frac{8}{6} * \frac{4}{5}[/tex]

[tex]\frac{32}{30}[/tex]

Simplified

16/15

[tex]1 \frac{1}{15}[/tex]

Hope this helps :)

Answer:

The answer is 16/15 or 1 1/15.

Step-by-step explanation:

First, you have to multiply it by converting the second fraction upside down:

[tex] \frac{8}{6} \div \frac{5}{4} [/tex]

[tex] = \frac{8}{6} \times \frac{4}{5} [/tex]

Next, you have to cut out the common terms and multiply all:

[tex] \frac{8}{6} \times \frac{4}{5} [/tex]

[tex] = \frac{8}{3} \times \frac{2}{5} [/tex]

[tex] = \frac{16}{15} \: \: or \: \: 1 \frac{1}{15} [/tex]

Answer:

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

Step-by-step explanation:

[tex] - 3(2x -1 ) + 4x \\ - 6x + 3 + 4x \\ = - 2x + 3[/tex]

Answer: -a

Step-by-step explanation:

Answer:

-a

Step-by-step explanation:

DONT DO SPACE just -a

Answer: y =[tex]\frac{ax - 2}{9x}[/tex]

Step-by-step explanation: look for the lcm

a=[tex]\frac{9xy + 2}{x}[/tex]

cross multiply

ax =9xy + 2

ax - 2 = 9xy

divide both sides by 9x

[tex]\frac{ax - 2}{9x} = \frac{9xy}{9x}[/tex]

y=[tex]\frac{ax - 2}{9x}[/tex]

Answer:

2√5 ≈ 4.47214

Step-by-step explanation:

You can draw a triangle with corner points (-1,2); (1,2) and (-1,-2), and the distance will be the hypotenuse, use pythagoras to solve:

√(2²+4²) = √20 = 2√5

Answer:

4.472 units

Step-by-step explanation:

1-(-1)=1+1=2

2-(-2)=2+2=4

2²+4²=c²

4+16=c²

20=c²

c=√20

c=4.472 units

Answer

Step-by-step explanation:

domain : red

range: blue

Answer:

General conditions of congruency of triangles

Step-by-step explanation:

As no triangles are given, explaining the general rules to apply in congruency of all triangles.

Triangles are congruent on the basis of following conditions :