Dianna and lucile walked to their granfather's house to visit him. It took them 2/5 of an hour to get there and 1 ½ hours to get back home. How much time did they spend in going both ways?
What is asked? __________
What are given? __________
Write the mathematical sentece________
Solution and answer _______

Answer it please​

Answer:

86 IF you have to add them

Answer:

30

Step-by-step explanation:

If CUB is 78 and that’s the full angle just to 48 minus 78 and you get your answer.

Answer:

i cant see the picture

Step-by-step explanation:

I'll use text forms of the logical symbols because copying/pasting on mobile is annoying.

⊕ = XOR

∨ = OR

∧ = AND

~ = NOT

↔ = IFF (meaning "if and only if")

→ = IMP (short for "implies")

and for logical equivalence I'll use a regular equal sign.

Then

p XOR q = (p OR q) AND NOT (p AND q)

(a) By definition of XOR, we have

p XOR p = (p OR p) AND NOT (p AND p)

= p AND NOT p

and this is tautologically FALSE.

(b) To rewrite XOR, first distribute the NOT over the AND using DeMorgan's law:

NOT (p AND q) = NOT p OR NOT q

Then we can interchange the AND and ORs using their respective distributive properties. That is,

p XOR q = (p OR q) AND (NOT p OR NOT q)

= (p AND (NOT p OR NOT q)) OR (q AND (NOT p OR NOT q))

= ((p AND NOT p) OR (p AND NOT q)) OR ((q AND NOT p) OR (q AND NOT q))

Both (p AND NOT p) and (q AND NOT q) are tautologically FALSE, so the truth value of either OR depends only on the other statements, so we have

p XOR q = (p AND NOT q) OR (q AND NOT p)

Recall the definition of IFF:

p IFF q = (p IMP q) AND (q IMP p)

Also recall that IMP is logically equivalent to

p IMP q = p OR NOT q

Then we have

p IFF q = (p OR NOT q) AND (q OR NOT p)

so that its negation is

NOT (p IFF q) = NOT ((p OR NOT q) AND (q OR NOT p))

= NOT (p OR NOT q) OR NOT (q OR NOT p)

= (NOT p AND q) OR (NOT q AND p)

The statements in bold match, so p XOR q is indeed equivalent to NOT (p IFF q).

The equation with an infinite number of solutions is 12x-x+8+3x=14x+8.

An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.

Here,

12x-x+8+3x=14x+8

The equation so that it has infinitely many solution is 12x-x+8+3x=14x+8.

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Answer:

let Length = x

then width = x -2  (2 inches less than length

now

A = Lw

35 = x (x -2)

35 = x2 - 2x

x2 -2x -35 = 0

(x-7)(x+5) = 0  

x-7=0

x=7      

so length = 7

width = 7 -2 = 5

Hope this helps

Step-by-step explanation:

The solution to the inequality is x >= -2 for inequality 3x-5≥-11

The given inequality is 3x-5≥-11

Three times of x greater than or equal to minus eleven

x is the variable

3x - 5≥ -11:

Adding 5 to both sides, we get:

3x ≥ -6

Dividing both sides by 3, we get:

solution is  x≥-2

Therefore, the solution to the inequality is x >= -2.

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The angle m∠BAC is 54 degrees.

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore, let's find the angle BAC.

Hence,

10x + 4 = 1 / 2 (12x + 15 + 9x - 12)

10x + 4 = 1 / 2 (21x + 3)

10x + 4 = 10.5x + 1.5

10x - 10.5x = 1.5 - 4

-0.5x = -2.5

divide both sides by -0.5

x = -2.5 / -0.5

x = 5

Therefore,

m∠BAC = 10(5) + 4

m∠BAC = 50 + 4

m∠BAC = 54 degrees

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The ratio of dollars to paintbrushes is 7:4

A ratio expresses the number of times one value is contained in another value.

The number of paintbrushes Jane bought for $7 is 4

From the question, 4 paintbrushes can be bought with $7 (7 Dollars), therefore, seven dollars gives 4 paintbrushes

The ratio of dollars to paintbrushes is therefore 7 to 4, while the ratio of paintbrushes to dollars is 4 to 7

The expression for ratio is the colon symbol ':'

Ratios can also be expressed using the word 'to'.

A ratio can also be expressed using the hyphen '-'

The ratio of paintbrushes to dollars can be expressed as 4:7 or 4 to 7 or 4-7.

The correct option is therefore;

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Answer:

The ratio of paintbrushes to dollars is 4 to 7.

 The ratio of dollars to paintbrushes is 7:4.

 The ratio of paintbrushes to dollars is 4:7.

Step-by-step explanation:

it just is

Three points must be noncollinear to determine a plane. (Option D)

Explanation:

A straight line doesn't define a plane because a plane must be 2-dimensional

Three collinear points are three points on the same line. This also is insufficient in determining a plane.

A-line and a point on the line. This is similar to having a straight line.

The man still owes R87,726 in taxes.

To calculate the tax amount the man still owes, we need to determine his taxable income first.

Gross income: R500,000

Less: PAYE deductions (17% of gross income): R500,000 * 0.17 = R85,000

Taxable income: R500,000 - R85,000 = R415,000

Next, we can use the tax table information provided to calculate the tax owed based on the taxable income.

Tax owed: R93,135 + 36% of (taxable income - R393,200)

Tax owed: R93,135 + 0.36 * (R415,000 - R393,200)

Tax owed: R93,135 + 0.36 * R21,800

Tax owed: R93,135 + R7,848

Tax owed: R100,983

Finally, we subtract the rebate amount of R13,257 from the tax owed to find the amount the man still owes.

Tax owed - Rebate: R100,983 - R13,257 = R87,726

Therefore, the man still owes R87,726 in taxes.

The correct option is not provided among the given answer choices.

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Answer:

The value of c is -10.

Step-by-step explanation:

Since (x+3) is a factor of the polynomial p(x).

We have that:

x + 3 = 0 -> x = -3

So p(-3) = 0

Then

\(p(x) = x^3 - 4x^2 + cx + 33\)

\((-3)^3 - 4(-3)^2 - 3c + 33 = 0\)

\(-27 - 36 - 3c + 33 = 0\)

\(3c = -30\)

\(c = -\frac{30}{3}\)

\(c = -10\)

The value of c is -10.

Answer:

⟨-5, -1⟩

Step-by-step explanation:

Vector:

A vector is given by its endpoint subtracted by its initial point.

Vector u has initial point at (3, 9) and terminal point at (–7, 5)

Then

\(u = (-7, 5) - (3,9) = (-7 - 3, 5 - 9) = (-10,-4)\)

Vector v has initial point at (1, –4) and terminal point at (6, –1).

Then

\(v = (6,-1) - (1,-4) = (6-1,-1-(-4)) = (5,3)\)

What is u + v in component form?

\(u + v = (-10,-4) + (5,3) = (-10+5,-4+3) = (-5,-1)\)

⟨-5, -1⟩ is the answer.

Answer:

first graph

Step-by-step explanation:

x > n

the graph will have an open circle at the value n , indicating that x cannot equal n ( note solid circle if x ≥ n )

the arrow from n will point in the right direction, indicating values of x greater than n.

the graph representing x > n is the first graph

The conclusion hypothesis is to reject the null hypothesis and accept the alternative hypothesis. The z score of 0.14 is in the rejection area

What is hypothesis?

In statistics, hypothesis refers a testable statement about the relationship between two or more variables or a proposed variable.

Here we have given that two machines fill 32-oz cartons with cereal. the quality control manager believes the two machines are not filling the cartons with the same amount of cereal. samples from each line were taken and the following results were obtained. assume that the assumptions and conditions for inference with a two- sample t-test are met. at the 0.01 level of significance, test the claim that the population mean for machine 1 is different from the population mean for machine 2.

And we need to find the conclusion hypothesis.

While we looking into the given question, we have identified the following values,

Sample mean: Machine 1 25 31.8 oz 2.2 oz

Sample SD: Machine 2 36 30.9 OZ 1.98 oz

So, the hypothesis is calculated as, the claim is the population mean of cereal cartons from machine 1 is larger than that from the machine 2

Null hypothesis: H0 : The population mean of cereal cartons for machine 1 and machine 2 is same

Alternative hypothesis H1: The population defines the statistical inference experiment.

So, the conclusion of hypothesis is, the critical value (cutoff point) is 2.353. In left-tail hypothesis testing, any z score less than the critical value will be rejected. Since 0.14 is less than 2.353, we reject the null hypothesis. We accept the alternative hypothesis.

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Answer:

$0.65

Step-by-step explanation:

The cereal ($3.68) + the milk ($3.53) + the bread ($2.14) costs a total of $9.35.  If Samantha gave the clerk $10.00, she'd receive 65 cents back.

$10.00 - ($3.68 + $3.53 + $2.14) = $0.65

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

Let's find the mean, median, and mode for each set of numbers:

Set: 40, 38, 29, 34, 37, 22, 15, 38

Mean: To find the mean, we sum up all the numbers and divide by the total count:

Mean = (40 + 38 + 29 + 34 + 37 + 22 + 15 + 38) / 8 = 273 / 8 = 34.125

Median: To find the median, we arrange the numbers in ascending order and find the middle value:

Arranged set: 15, 22, 29, 34, 37, 38, 38, 40

Median = (29 + 34) / 2 = 63 / 2 = 31.5

Mode: The mode is the number(s) that appear(s) most frequently in the set:

Mode = 38 (appears twice)

Set: 26, 32, 12, 18, 11, 14, 21, 12, 27

Mean: Mean = (26 + 32 + 12 + 18 + 11 + 14 + 21 + 12 + 27) / 9 = 173 / 9 ≈ 19.222

Median: Arranged set: 11, 12, 12, 14, 18, 21, 26, 27, 32

Median = 18

Mode: No mode (all numbers appear only once)

Set: 3, 3, 4, 7, 5, 7, 6, 7, 8, 8, 8, 9, 8, 10, 12, 9, 15, 15

Mean: Mean = (3 + 3 + 4 + 7 + 5 + 7 + 6 + 7 + 8 + 8 + 8 + 9 + 8 + 10 + 12 + 9 + 15 + 15) / 18 ≈ 8.611

Median: Arranged set: 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 12, 15, 15

Median = 8

Mode: Mode = 8 (appears 4 times)

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

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Answer:

15 units

because the y-coordinates are the same, simply take the absolute difference of the x-coordinates. |-8 - 7| = |-15| = 15

(we take the absolute difference because distance can never be negative)

hope this helps! <3

Answer:

The answer is B

Step-by-step explanation:

Just look at the picture

Square Area = side x side = 3x3 = 9

Rectangle Area = side x side= 7x3= 21

9 + 21 = 30 square inches

Answer:

30 square inches

Step-by-step explanation:

   \(\boxed{\text{\bf Area of rectangle = length *width}}\)

Rectangle1:

     Area = 6 * 3

              = 18 square inches

Rectangle2:

Area = 4 * 3

          = 12 square inches

Area of the figure = area of rectangle1 + area of rectangle2

                             = 18 + 12

                             = 30 square inches

Answer:

what are the options and the figures???

Step-by-step explanation:

The equation of line for Pilar's rock climbing is given by y = -8x + 242 and the slope of the equation is m = -8

Connor's equation of line is y = -10x + 200 and slope m = -10

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the values of x be set x = { 1 , 2 , 3 }

Let the values of y be set y = { 234 , 226 , 218 }

Now , the equation of line for Connor's rock climbing is given by the formula y - y₁ = m ( x - x₁ )

And , the rate of change is given by the slope of the line

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 234 - 226 ) / ( 1 - 2 )

Slope m = -8

So , the rate of change is m = -8 feet per minute

Now , the equation of line for Pilar's rock climbing is

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 234 = -8 ( x - 1 )

y - 234 = -8x + 8

Adding 234 on both sides of the equation , we get

y = -8x + 242

So , the equation of line is y = -8x + 242

Now , when initial value , x = 0

y = -8 ( 0 ) + 242

y = 242 feet

Now , Connor's rock climbing is 10 feet per minute descending down

So , the slope Connor's equation is m = -10

And , the equation of line is y = -10x + 200

Hence ,

The equation of line for Pilar's rock climbing is given by y = -8x + 242

The equation of line for Connor's rock climbing is y = -10x + 200

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jv + b

where b = 8, v = 4 and j = -6

Therefore

jv + b = (-6)(4) + 8 = -24 + 8 = -16

Answer:

452.4 in³

Step-by-step explanation:

Volume half sphere = 1/2 volume sphere

Volume sphere = 4/3πr²

Volume = 4/3*3.14*27             Radius = 1/2(6) .     3³ = 27

Volume ≈ 113.1

Volume Cylinder = Area circle x hieght

Area circle = πr²

Area circle = 3.14 * 9

Area circle = 28.26

Volume cylinder = 28.26 * 12 = 339.12

339.12 + 113.1 = 452.22

Because of rounding it would be ≈ 452.4

If my answer is incorrect, pls correct me!

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Answer:

B

Step-by-step explanation:

16 - 7 = 9

Answer:

m=7

Step-by-step explanation:

Answer:

Step-by-step explanation:

The matches are:

Answer:

B, 0

Step-by-step explanation:

if you plug in 0 into the function, you will get f(x)=12/0. This will result in an undefined output, so there will be a hole where x is equal to 0. Therefore, 0 is not in the domain of the function.

Answer:

b = 40 , c = 70

Step-by-step explanation:

given a quadratic function in standard form

y = ax² + bx + c ( a ≠ 0 )

then the x- coordinate of the vertex is

x = - \(\frac{b}{2a}\)

y = 5x² + bx + c ← is in standard form

with a = 5 and b = b , then

x = - \(\frac{b}{10}\)

equating to the given x- coordinate of the vertex , that is - 4

- \(\frac{b}{10}\) = - 4 ( multiply both sides by - 10 )

b = 40

then

y = 5x² + 40x + c

substitute (- 4, - 10 ) into the equation and solve for c

- 10 = 5(- 4)² + 40(- 4) + c

- 10 = 5(16) - 160 + c

- 10 = 80 - 160 + c

- 10 = - 80+ c ( add 80 to both sides )

70 = c

then b = 40 and c = 70