April, May and June have

90

sweets between them. May has three-quarters of the number of sweets that June has.


April has two-thirds of the number of sweets that May has. How many sweets does June have?
help

Answer:

Explanation and steps:

\( \frac{28.8}{4} = \frac{288}{40} = 288 \div 40 = 7.2\)

\( \\ \\ \)

Answer:

5*sqrt3

Step-by-step explanation:

The vector AB= (0-(-1), 4-2,6-3) AB= (1,2,3)

The modul of AB is sqrt(1^2+2^2+3^2)= sqrt14

The vector AC is (1-(-1), 1-2, 2-3)= (2,-1,-1)

The modul of B is sqrt (2^2+(-1)^2+(-1)^2)= sqrt6

AB*AC= modul AB*modul AC*cosA

cosA=( 1*2+2*(-1)+3*(-1))/ sqrt14*sqrt6= -3/sqrt84=

sinB= sqrt (1- (-3/sqrt84)^2)= sqrt75/84= sqrt 25/28= 5/sqrt28

s= modul AB*modul AC*sinA= sqrt14*sqrt6* 5/ sqrt28= 5*sqrt3

Answer:

a) x^(2) + 2x + 1

b) x^(2) + 1

c) 16

d) 1

Step-by-step explanation:

f(x) = x^(2)

g(x) = x + 1

a)

f(g(x))

input g(x) into f(x)

f(x+1) = (x+1)^(2)

= x^(2) + 2x + 1

b)

g(f(x))

input f(x) into g(x)

g(x^(2))

x^(2) + 1

c)

f(g(3))

Use the equation found in part a, substitute in 3 for x

(3)^(2) + 2(3) + 1

= 9 + 6 + 1

= 16

d)

Use the equation found in part a, substitute in 0 for x

(0)^(2) + 2(0) + 1

= 0 + 0 + 1

= 1

Answer: 2.50$

Step-by-step explanation:

Answer:

4 6 8 16.8

Step-by-step explanation:

Answer:

The absolute value of a number is its distance from 0.

Step-by-step explanation:

Given a rectangle of which its length is nine more than triple the width. The width is _10_inches. The length is 39 inches.

Let:

l = length of the rectangle

w = width of the rectangle

"The length of a rectangle is nine more than triple the width" can be translated as:

l = 9 + 3w

perimeter = 2 l + 2w

Substitute perimeter = 98 and  l =  9 + 3w into the perimeter equation:

98 = 2 x (9 + 3w) + 2w

98 = 18 + 8w

8w = 98 - 18

8w = 80

w = 80/8 = 10 inch.

Substitute w = 10 into the length equation:

l = 9 + 3w

l = 9 + 3 x 10

l = 9 + 30 = 39

Therefore the correct answer is:

The width is _10_inches. The length is 39 inches.

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The value of measure of arc JK is,

⇒  (arc KJ) = 28 degree

Since, The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

Measure of arc KL = 152°

Now, We know that;

⇒ m (arc LK) + m (arc KJ) = 180°

Substitute given values, we get;

⇒ 152° + m (arc KJ) = 180

⇒ m (arc KJ) = 180 - 152

⇒  (arc KJ) = 28 degree

Thus, The value of measure of arc JK is,

⇒  (arc KJ) = 28 degree

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Answer:

( 3/ 2 , − 7 )

Step-by-step explanation:

Dont worry i checked my answer two times :)

Answer:

55

Step-by-step explanation:

a triangle adds up to 180°

25+30+x= 180

55+x=180

x=180-55

x=125

x and y is a straight line so it adds up to 180°

x=125 y=?

x+y=180

125+y=180

y=180-125

y=55°

y= 55°

Answer:

c is the answer

Step-by-step explanation:

1.5 x 3 =4.5

4.5 - 0.25

= 4.25

Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

Answer:

x = 22/3

Step-by-step explanation:

If y varies directly with x, then y/x = constant

so (-6)/2 = (-22)/x

-3 = -22/x

-3x = -22

3x = 22

x = 22/3

Answer: 26 × 4

Step-by-step explanation: There are 26 letters in the alphabet lettered A through Z.

Deepak is given the choice of picking a four letter password of his liking, using any four letters. Since the letters he uses can be repeated, it is 26 * 4 possibilities, since there are 26 different possibilities of letters from the alphabet he could choose, for 4 times. Also, since letters can be repeated, 26 stays the same. If letters could not be repeated, it would be 26 * 25 * 24 * 23.

Answer:

B.  26⁴

Step-by-step explanation:

If the password is 4 letters long and he can repeat letters then:

Therefore, to find the total number of passwords he can create, simply multiply the number of permutations for each letter of his password:

⇒ 26 × 26 × 26 × 26 = 26⁴

Answer:

\(1 \frac{7}{12} \: or \: 1.583\)

Step-by-step explanation:

nine fourths is also

\( \frac{9}{4} \)

two thirds is also

\( \frac{2}{3} \)

subtract,

\( \frac{9}{4} - \frac{2}{3} \)

L.C.M = 12

\( \frac{27 - 8}{12} \)

\( \frac{19}{12} \)

\(1 \frac{7}{12} \: or \: 1.583\)

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

I put A before and my post was deleted.....

Answer: We can set up the following pair of simultaneous equations:

a + c = 6.70 (equation 1) (the total amount of money they have is ₹6.70)

a = c + 1.70 (equation 2) (Alan has ₹1.70 more than Conner)

We can substitute equation 2 into equation 1 to eliminate a:

(c + 1.70) + c = 6.70

Simplifying and solving for c:

2c + 1.70 = 6.70

2c = 5.00

c = 2.50

So Connor has ₹2.50.

We can substitute this value into equation 2 to find the value of a:

a = c + 1.70

a = 2.50 + 1.70

a = 4.20

Therefore, Alan has ₹4.20.

Answer:

The value 155 is zero standard deviations from the [population] mean, because \( \\ x = \mu\), and therefore \( \\ z = 0\).

Step-by-step explanation:

The key concept we need to manage here is the z-scores (or standardized values), and we can obtain a z-score using the next formula:

\( \\ z = \frac{x - \mu}{\sigma}\) [1]

Where

Carefully looking at [1], we can interpret it as the distance from the mean of a raw value in standard deviations units. When the z-score is negative indicates that the raw score, x, is below the population mean, \( \\ \mu\). Conversely, a positive z-score is telling us that x is above the population mean. A z-score is also fundamental when determining probabilities using the standard normal distribution.

For example, think about a z-score = 1. In this case, the raw score is, after being standardized using [1], one standard deviation above from the population mean. A z-score = -1 is also one standard deviation from the mean but below it.

These standardized values have always the same probability in the standard normal distribution, and this is the advantage of using it for calculating probabilities for normally distributed data.

A subject earns a score of 155. How many standard deviations from the mean is the value 155?

From the question, we know that:

Having into account all the previous information, we can say that the raw score, x = 155, is zero standard deviations units from the mean. The subject   earned a score that equals the population mean. Then, using [1]:

\( \\ z = \frac{x - \mu}{\sigma}\)

\( \\ z = \frac{155 - 155}{50}\)

\( \\ z = \frac{0}{50}\)

\( \\ z = 0\)

As we say before, the z-score "tells us" the distance from the population mean, and in this case this value equals zero:  

\( \\ x = \mu\)

Therefore

\( \\ z = 0\)

So, the value 155 is zero standard deviations from the [population] mean.

The largest force p that can be applied to the bracket shown - P = 80 MPa × (b × h).

Largest force P that can be applied to the bracket, we need to consider the allowable stress in section ABD, which is given as 80 MPa.
Step 1: Identify the relevant variables
- Allowable stress in section ABD: 80 MPa
Step 2: Determine the cross-sectional area of section ABD
- We need the dimensions of section ABD to calculate the area.

Let's assume the width (b) and height (h) are given.
- Cross-sectional area of section ABD = b × h
Step 3: Apply the stress formula
- Stress = Force / Area
- Allowable stress in section ABD = Force P / Area of section ABD
Step 4: Solve for the largest force P
- 80 MPa = P / (b × h)
- P = 80 MPa × (b × h)

Now that we have a formula for the largest force P, you can plug in the specific dimensions of section ABD (width and height) to find the exact value of P.

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Answer:

The original number is -22

Step-by-step explanation:

We'll label our mystery number x.

2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22

Plug in to confirm

-44 + 36 = -88/11S
8 = 8

Answer:

y = 4

Step-by-step explanation:

You are solving for the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

Isolate the variable, y. First, subtract 6 from both sides of the equation:

7y + 6 (-6) = 34 (-6)

7y = 34 - 6

7y = 28

Next, divide 7 from both sides:

(7y)/7 = (28)/7

y = 28/7 = 4

y= 4 is one of the equivalent equations that can answer this question.

~

Answer:

3,240 / 9= 360\

360 boxes

Step-by-step explanation:

Answer:

360 boxes were used.

Step-by-step explanation:

Answer:

3.4567 is a rational number

Step-by-step explanation:

An irrational number has no ending while a rational number does. An irrational number can not be written as a fraction while a rational number can. Basically, all you have to do to figure out if a number is rational or irrational is to figure out if it has an ending.

For example, if you had 234.888888888 irrational but if the number was 234.98989654 then it would be rational

Answer:

$7

Step-by-step explanation:

Answer:

width is 13.5 yards

Step-by-step explanation:

2" / 3 yds = 9" / 'x' yards

cross-multiply:

2x = 27

x = 13 1/2 yards

The equation of the graph is (b) y = (x + 4)(x + 2)(x - 1)

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a polynomial graph with the following zeros and multiplicities

The equation is then represented as

y = (x - zero) to the exponent of the multiplicities

So, we have

y = (x + 4)(x + 2)(x - 1)

Hence, the equation of the graph is (b) y = (x + 4)(x + 2)(x - 1)

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Answer:

41.43 ft

Step-by-step explanation:

We solve the above using proportion

Height of cliff/Shadow of cliff = Height of Hiker/Shadow of hiker

Height of cliff = x

Shadow of cliff = 50ft

Height of Hiker = 5.8 ft

Shadow of hiker = 7 ft

Therefore:

x/50 = 5.8/7

Cross Multiply

7x = 50 × 5.8

7x = 290

x = 290/7

x = 41.428571429 ft

Approximately = 41.43 ft

Therefore, the height of the cliff = 41.43 ft

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2