What value correctly fills in the blank so that the expressions are equivalent? 18+45 =

there are 36 roses and 27 carnations. anna is making flower arrangements using both flowers, if she made the maximum number of a

solniwko [45]

This is a GCF problem,
find the GCF of 36 and 27. To do this, list out the factors for each number.
EX 36- 1×36, 2×18, so on and so on. Then do this for 27. The GCF will be the greatest factor. In this case, that is 9.
So there would be 9 groups because that is the greatest common factor.
there would be 4 roses in each group because 4×9= 36.
There are 3 carnations in each group because 9×3 =27.
So 9 groups with 4 roses and 3 carnations.

4 0

3 years ago

The results of a swim Wet are shown. Who swam faster explain your reasoning

kolbaska11 [484]

Answer:

The Susana swam the fastest.

Step-by-step explanation:

Speed : It is defined as the distance traveled per unit time.

Formula used : $Speed = \frac{Distance}{Time}$

First we have to determine speed of the following persons.

For Tawni :

Distance = 50 m

Time = 40.8 s

1.225 m/s which is the speed of Tawni.

--

For Pepita :

Distance = 100 m

Time = 60.2 s

1.661 m/s which is the speed of Pepita

--

For Susana :

Distance = 200 m

Time = 112.4 s

1.779 m/s which is the speed of Susana

From this we conclude that, in this problem meter affects the response and the speed of Susana is more than the Pepita and Tawani.

Thus, Susana swam the fastest.

7 0

3 years ago

The distance between R and S on the coordinate grid is units. (Input whole numbers only) Numerical Answers Expected! Answer for

xxMikexx [17]

Answer:

45 units

Step-by-step explanation:

7 0

3 years ago

Oliver earns $93 per week mowing lawns in his neighborhood. Which expression can be used to show how much money he earns in 6 we

ElenaW [278]

1 week = $93
6 weeks = $93 x 6
6 weeks = $558

6 0

3 years ago

B) T is due north of C, calculate the bearing of B from C

choli [55]

Answer:

(a) 52°

(b) 322°

Step-by-step explanation:

(a) The details of the circle are;

The diameter of the circle = AOC

The center of the circle = Point O

The point the line AT cuts the circle = Point B

The point the tangent PT touches the circle = Point C

Angle ∠COB = 76°

We have that angle AOB and angle COB are supplementary angles, therefore;

∠AOB + ∠COB = 180°

∠AOB = 180° - ∠COB

∴ ∠AOB = 180° - 76° = 104°

∠AOB = 104°

OA = OB = The radius of the circle

Therefore, ΔAOB = An isosceles triangle

∠OAB = ∠OBA by base angles of an isosceles triangle are equal

∠AOB + ∠OAB + ∠OBA = 180° by angle summation property

∴ ∠AOB + ∠OAB + ∠OBA = ∠AOB + ∠OAB + ∠OAB = ∠AOB + 2×∠OAB = 180°

∠OAB = (180° - ∠AOB)/2

∴ ∠OAB = (180° - 104°)/2 = 38°

∠TAC = ∠OAB = 38° by reflexive property

AOC is perpendicular to tangent PT at point C, by tangent to a circle property, therefore;

∠TCA = 90° and ΔTCA = A right triangle

∠TAC + ∠ATC + ∠TCA = 180° by angle sum property

∠ATC = 180° - (∠TAC + ∠TCA)

∴ ∠ATC = 180° - (38° + 90°) = 52°

Angle ATC = 52°

(b) In ΔABC, ∠ABC = Angle subtended by the diameter = 90°

∴ ΔABC = A right triangle

∠ABC and ∠TBC are supplementary angles, therefore;

∠ABC + ∠TBC = 180°

∠TBC = 180° - ∠ABC

∴ ∠TBC = 180° - 90° = 90°

∠TCB = 180° - (∠TBC + ∠ATC)

∴ ∠TCB = 180° - (90° + 52°) = 38°

The bearing of B from C = (360° - 38°) = 322°.

7 0

3 years ago

What value correctly fills in the blank so that the expressions are equivalent? 18+45 =_x (2+5)