​Lisa, an experienced shipping​ clerk, can fill a certain order in 9 hours. Felipe​, a new​ clerk, needs 10 hours to do the same job. Working​ together, how long will it take them to fill the​ order?

Bola will be 8 years old.

Let Bola's age be x

Dada's age be y

Ayo's age be z

If the sum of ages of Bola, Dada, and Ayo is 32 years, then;

x + y + z = 32

If they share a sum of money in the ratio of their ages, then the ratio of their ages will be x: y: z

Also if Bola gets N400, Dada get-N400 and Ayo get N800, then the total amount of money shared will be expressed as:

T = 400 + 400 + 800

T = N1600

Next is to get the age of Bola

[tex]\frac{age \ of \ bola}{32}* Total \ amount \ shared = Bola's \ Share[/tex]

Substitute the required variables and values into the formula;

[tex]\frac{x}{32}*1600= 400\\50x=400\\x=\frac{400}{50}\\x=8[/tex]

This shows that Bola is 8 years old

Learn more on ratio here: https://brainly.com/question/19473677

Answer: 25 feet of wood

40 wheels and 2.5 cans of paints

Step-by-step explanation:

Answer:

25 feet of wood

40 wheels and

2.5 cans of paints

Step-by-step explanation: I did this before Also can i get brainlyist please

Answer:

2) Add 21 to both sides

Step-by-step explanation:

When solving [tex]16x-21=52[/tex] for [tex]x[/tex], our goal to isolate [tex]x[/tex] such that we have [tex]x[/tex] set equal to something.

Therefore, we want to start by adding 21 to both sides. This leaves us with [tex]16x=73[/tex] and we are one step closer to isolating [tex]x[/tex].

A shape of a trapezoid has exactly one line of symmetry. The correct option is B.

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.

A balanced and proportionate likeness between an object's two halves is referred to as symmetry in geometry. It implies that one half is the other's mirror image.

A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

Therefore, the shape of a trapezoid has exactly one line of symmetry. The correct option is B.

To know more about Trapezoids follow

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Answer:

the answer is 10

Step-by-step explanation:

900 ÷ 90

=> 10 [tex]\sf{}[/tex]

Answer:

The answer is 10.

Step-by-step explanation:

900/90=cut 0 of numerator and denominator then 90 divide by 9 is 10.

Answer:

y = -1

Step-by-step explanation:

Answer:

1500000

Step-by-step explanation:

1 metre = 100 cm

15000metre =15000*100

=1500000

Answer:

Step-by-step explanation:

Answer:

the correct answer is 3 m............

Answer:

The function is always Decreasing

Step-by-step explanation:

By graphing the polyminal in order to determine the intervals over which it is increasing or decreasing we find that it always decreasing.

Answer:

A. $15

B. $25

C. 84 peaches

Answer:

a)3dozenx$5=$15

b)60=5 dozen 5x$5=$25

c)35/5=7,7 dozen, 7 x 12= 84

Step-by-step explanation:

Answer:

A 59

Step-by-step explanation:

Higher sample size is generally always more accurate

Answer:

16 once is the better one.

Answer: 12-ounce bag is better by $0.02 per ounce

Concept:

When coming across questions that ask for a comparison between prices, we should make the final unit [price per object].

In finding [price per object], simply do [Total price / number of objects].

Solve:

A 12-ounce bag of rice costs $4.08

Total price / number of objects = 4.08 / 12 = $0.34 per ounce

A 16-ounce bag of rice costs $5.76

Total price / number of objects = 5.76 / 16 = $0.36 per ounce

$0.36 - $0.34 = $0.02

$0.34 < $0.36, therefore, 12-ounce bag is better by $0.02 per ounce.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

A computer parts company wants to make a rectangular memory board that has a perimeter of 28 centimeters and a diagonal length of 10 centimeters. Find the dimensions of the board. Consider the length to be the longer side.: Call the two sides L & W: the perimeter 2L + 2W = 28 Simplify, divide by 2 L + W = 14 L = (14-W); use this form for substitution

Step-by-step explanation:

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

Explanation:

x = width

y = length

both x and y are positive real numbers, and the units of which are in cm.

The perimeter of any rectangle is found by saying

P = 2*(length+width)

P = 2*(x+y)

Plugging in P = 14 leads us to

P = 2*(x+y)

14 = 2*(x+y)

14/2 = x+y

7 = x+y

Solve for one of the variables. Let's say we solve for y. That should get us y = 7-x which we'll use a bit later.

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

Notice how the diagonal forms two identical right triangles. The legs of which are x and y as defined earlier. The hypotenuse is 5, which is the diagonal length.

Use the pythagorean theorem to help solve for x

a^2 + b^2 = c^2

x^2 + y^2 = 5^2

x^2 + (7-x)^2 = 25 ... plug in y = 7-x

x^2 + 49 - 14x + x^2 = 25 ... use FOIL rule

2x^2-14x+49 = 25

2x^2-14x+49-25 = 0

2x^2-14x+24 = 0

2(x^2-7x+12) = 0

x^2-7x+12 = 0

(x-3)(x-4) = 0

x-3 = 0 or x-4 = 0

x = 3 or x = 4

If x = 3, then y = 7-x = 7-3 = 4

If x = 4, then y = 7-x = 7-4 = 3

We have this symmetry going on. If x is one of 3 or 4, then y is the other of those values. Because x = 3 and y = 4, or vice versa, this means we have a 3-4-5 right triangle (well to be fair we have two identical copies of such a triangle to form the rectangle).

Therefore, the dimensions of the rectangular board is 3 cm by 4 cm. The order doesn't matter so you could easily say "4 cm by 3 cm" to mean the same thing.

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

Check:

P = perimeter

P = 2*(length+width)

P = 2*(x+y)

P = 2*(3+4)

P = 2*7

P = 14

That helps confirm the answer.

Answer:

640

Step-by-step explanation:

muntiply all the number length width height

Answer:

-27

Step-by-step explanation:

Let x = 6 and y = -3

[tex]-(6)+7(-3)\\-6-21\\-27[/tex]

Answer:

Step-by-step explanation:

 L = 4 + w

A = 2P - 4

lw = 2(2l +2w) - 4

lw = 4(l + w) - 4

(w+4)w = 4 ( w+4+w) -4

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

w^2 + 4w = 8w + 16 - 4

w^2 + 4w = 8w + 12

w^2 - 4w - 12 = 0

( w      -       6 )( w  +       2  ) = 0

w - 6 = 0 ----> w = 6 ----> L=10  ---> P = 32  and A = 60

w + 2 = 0 ---> w = -2 <--- width cannot be negative; disqualified/rejected

Answer:

Its the first one | -9 | < | 9 |

Step-by-step explanation:

its false because both sides are identical

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

[tex]C. \ \ \ 86[/tex]°

Step-by-step explanation:

1. Approach

In order to solve this problem, one must first find a relationship between arc (a) and arc (c). This can be done using the congruent arcs cut congruent segments theorem. After doing so, one can then use the secants interior angle to find the precise measurement of arc (a).

2. Arc (a) and arc (c)

A secant is a line or line segment that intersects a circle in two places. The congruent segments cut congruent arcs theorem states that when two secants are congruent, meaning the part of the secant that is within the circle is congruent to another part of a secant that is within that same circle, the arcs surrounding the congruent secants are congruent. Applying this theorem to the given situation, one can state the following:

[tex]a = c[/tex]

3. Finding the degree measure of arc (a),

The secants interior angle theorem states that when two secants intersect inside of a circle, the measure of any of the angles formed is equal to half of the sum of the arcs surrounding the angles. One can apply this here by stating the following:

[tex]86=\frac{a+c}{2}[/tex]

Substitute,

[tex]86=\frac{a+c}{2}[/tex]

[tex]86=\frac{a+a}{2}[/tex]

Simplify,

[tex]86=\frac{a+a}{2}[/tex]

[tex]86=\frac{2a}{2}[/tex]

[tex]86=a[/tex]

Answer:

1st option

Step-by-step explanation:

Evaluate f(- 5) then substitute the value obtained into g(x)

f(- 5) = - 2(- 5) - 7 = 10 - 7 = 3 , then

g(3) = - 4(3) + 6 = - 12 + 6 = - 6

Answer:

No

Step-by-step explanation: Bye

Answer:

Agency C offers the least expensive overall fee

Step-by-step explanation:

Alone from gross salary, you would make 24000 a year.

Agency A

24000 - ( 2000 x 0.5)

= 23,000

$1000 fee

Agency B

24000 - ( 2000 x 0.1 ) x 6

= 24000 - 200 x 6

= 24000 - 1200

= 22,800

$1200 fee

Agency C

24000 - (500 + 100)

= 24000 - 600

= 23,400

$600 fee

Answer:

B. 0

Step-by-step explanation:

Rate of change from x = -3 to x = 5

Rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

where, from the graph, we have:

a = -3, f(a) = -1,

b = 5, f(b) = -1,

Plug in the values

Rate of change = [tex] \frac{-1 -(-1)}{5 - (-3)} [/tex]

Rate of change = [tex] \frac{0}{8} [/tex]

Rate of change = 0

Answer:

2775

Step-by-step explanation:

Well of course since the problem is not restricted, the smallest number is 3. I'm almost sure that's not what you mean. The next smallest number is 2775. I found that using a  programing language. I'm sure as well that does not satisfy the question, either.

I think you are intended to do this by finding the lowest common multiple and adding 3.

21: 3 * 7

28: 2 * 2 * 7

36: 2 * 2 * 3 * 3

44: 2 * 2 * 11

LCM = 2 * 2 * 3 * 3 * 7 * 11 = 2772

Now add 3 and the number you want is 2775

Answer:

72.47

Step-by-step explanation:

FV cos 43 = TV

FV (0.73135370161 ) = 53

FV = 72.468 = 72.47

Answer:

A

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos43° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{TV}{FV}[/tex] = [tex]\frac{53}{FV}[/tex] ( multiply both sides by FV )

FV × cos43° = 53 ( divide both sides by cos43° )

FV = [tex]\frac{53}{cos43}[/tex] ≈ 72.47 ( to 2 dec. places )

Let missing side be x

Using basic proportionality theorem

[tex]\\ \sf\longmapsto \dfrac{18}{14}=\dfrac{27}{x}[/tex]

[tex]\\ \sf\longmapsto \dfrac{9}{7}=\dfrac{27}{x}[/tex]

[tex]\\ \sf\longmapsto 9x=7(27)[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{7(27)}{9}[/tex]

[tex]\\ \sf\longmapsto x=21[/tex]

Answer:

x = -4/3

Step-by-step explanation:

6x + 11 = -6x - 5

12x = -16

x = -4/3

Answer:

x = -4/3

Step-by-step explanation:

6x + 11= - (6x + 5)

Distribute the minus sign

6x+11 = -6x-5

Add 6x to each side

6x+11 +6x = -6x-5+6x

12x+11 = -5

Subtract 11 from each side

12x+11-11 = -5-11

12x = -16

Divide by 12

12x/12 = -16/12

x = -4/3

The ratio/proportion is young / old = young / old.

We know that one ratio is 3 / 5, so we need to complete the other.

3 / 5 = young / 40

5 goes into 40, 8 times, therefore we need to multiply the numerator by 8 also.

3 x 8 = 24

The younger student is 24 years old.

Hope this helps!

Answer:

24

Step-by-step explanation:

younger : older

3             :5

The older is 40

40/5 = 8

Multiply each by 8

younger : older

3 *8       :5 *8

24         : 40

The younger is 24

Answer:

1 inch= 20 miles. 5*20=100 miles. The answer is 100 miles.

Step-by-step explanation:

On these types of questions just do that every time, then you don't need to ask, for example:

1 foot = 50 miles

If it measures 3 feet.

3*50=150 miles.

If you have any questions regarding my answer, tell me in the comments, and I will answer them.