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3 years ago

Two thirds of employees at an office stated that they preferred soft

Mathematics

2 answers:

-BARSIC- [3]3 years ago

8 0

Answer:

(5,3)

Step-by-step explanation:

have a nice rest of 2020, and may 2021 bring you riches and happiness,

Anestetic [448]3 years ago

6 0

Answer:(5,3)

Step-by-step explanation:

(x,y)

so its 5 to the left and 3 up

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Annita, Gary, and Tara all run races. Annita has 7 less than 4 times the number of race medals as Tara. Gary has 13 more than 2

harkovskaia [24]

Answer:

4 t - 7 = 2 t+ 13 is the required equation.

The number of race medals Tara has is t = 20 medals.

Step-by-step explanation:

Let the number of medals Tara has = t medals

So, the number of medal Anita has = 4( Medals of Tara) - 7

= 4t - 7

And the number of medals Gary has = 2 times (Medals of Tara) + 13

= 2(t) + 13 = 2t + 13

Now, Annita and Gary has same number of medals.

⇒ 4t - 7 = 2t+ 13

or, 4t - 2t = 7 + 13

⇒ 2t = 20

⇒ t = 20/2 = 10

or t = 10

Hence, the number of race medals Tara has is t = 20 medals

6 0

3 years ago

The symphonic choir and the jazz choir are recording songs for an album. The album can be no more than 72

Brut [27]

Answer:

The maximum number of songs that the symphonic choir can record is 14

Step-by-step explanation:

Let

x ----> the number of songs of the symphonic choir

we know that

The number of songs of the jazz choir multiplied by its average time per song plus the the number of songs of the symphonic choir multiplied by its average time per song, must be less than or equal to 72 minutes

The inequality that represent this situation is

$3(7)+3.5(x)\leq 72$

solve for x

$21+3.5x\leq 72$

subtract 21 both sides

$3.5x\leq 51$

divide by 3.6 both sides

$x\leq 14.6\ songs$

therefore

The maximum number of songs that the symphonic choir can record is 14

3 0

2 years ago

what is a number of 3 digits and multiple of 5 but less than 600 and can be formed from 1,3,5,7 and 9?

Murljashka [212]

Any multipule of 5 ends with either a 0 or a 5

so we see that ther are no 0's in the list so it must end with 5

so the other 2 digits can be any number
wait, less than 600
so the first digit can be 1 or 3

some possible numbers are

135
175
195
315
375
395

those are the possible numbers

8 0

3 years ago

What is the volume of a sphere with a radius of 9.5 ft, rounded to the nearest tenth of a cubic foot?

DiKsa [7]

Answer:

V = 3591.4 ft³

Step-by-step explanation:

The formula for the volume of a sphere whose radius is given is

V = (4/3)πr³

Here we have V = (4/3)(3.14)(9.5 ft)³, or:

V = 3591.4 ft³

6 0

3 years ago

State whether the triangles could be proven congruent, if possible, by SSS or SAS.

Helen [10]

Answer:

1. SSS

2. SAS

3. SAS

4. SSS

5. SAS

6. SAS

Step-by-step explanation:

1) Side FY ≅ Side CW Given

Side FP ≅ Side CM Given

Side YP ≅ Side MW Given

∴ΔMCW ≅ ΔFPY by the Side-Side-Side (SSS) rule of congruency

2) ∠CBD ≅ ∠BCA given that both are alternate interior angles

Side EB ≅ Side EC and Side DB ≅ Side CA Given

ΔBED ≅ ΔAEC by Side-Angle-Side (SAS) rule of congruency

3. ∠SVU ≅ ∠SVT Given

Side SV ≅ Side SV by reflexive property

Side VT ≅ Side VU Given

∴ ΔVSU ≅ ΔVST by Side-Angle-Side (SAS) rule of congruency

4. Side MN ≅ Side QP Given

Side MQ ≅ Side NP Given

Side NQ ≅ Side NQ by reflexive property

∴ΔQNM ≅ ΔQNP by the Side-Side-Side (SSS) rule of congruency

5. Indirect proof

Side GL ≅ Side HL Given

Side GJ ≅ Side HK Given

∠JLG ≅ ∠HLK vertically opposite angles

By sine rule

GJ/sin(∠JLG) = GL/n(∠GJL)

Similarly

HK/sin(∠HLK) = HL/n(∠HKL)

∴ ∠GJL ≅ ∠HKL

∴ ∠LGJ ≅ ∠LHK third angle of two triangles given the other two angles are congruent

∴ΔQNM ≅ ΔQNP by the Side-Angle-Side (SAS) rule of congruency

6. ∠XZY ≅ ∠XZW Supplementary ∠s with ∠XZY = 90°

Side XZ ≅ Side XZ by reflexive property

Side ZW ≅ Side ZY Given

∴ ΔXYZ ≅ ΔXWZ by Side-Angle-Side (SAS) rule of congruency.

3 0

2 years ago