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3 years ago

The foreign language club has 42 members two out of every three members speak Spanish how many members speak Spanish

Mathematics

1 answer:

ki77a [65]3 years ago

8 0

2/3 x 42 = 28
28 members speak Spanish.

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How can 18/24 the fraction be written as a fraction

Ede4ka [16]

$\frac{18}{24} = \frac{6\times 3}{6\times 4} = \boxed{\frac{3}{4}}$

18/24 can be written as 3/4 in simplest form.

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3 years ago

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Evaluate function at the given value using the remainder theorem.

garik1379 [7]

Answer:

Step-by-step explanation:

$f(a)=a^4-2a^3 -10a^2 -7a \\\\f(-2) = (-2)^4-2(-2)^3 -10(-2)^2 -7(-2)\\\\~~~~~~~~~=16-2(-8)-10(4)+14\\\\~~~~~~~~~=30+16-40\\\\~~~~~~~~~=46-40\\\\~~~~~~~~~=6$

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2 years ago

Write the equation for the absolute value function graphed below

Jobisdone [24]

Answer:

y = 2|x+3| -2

Step-by-step explanation:

1) slope = rise/run= 4/2 =2 - for the right line

2) y = 2|x| initial graph

3) It is moved 3 units left

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4) It moved 2 units down

y = 2|x+3| -2

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3 years ago

What is the complement of 57?

umka21 [38]

Complements are numbers that add 90. Since one is 57, the other has to add to 57. So 33 would add with 57 to get 90.

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3 years ago

Given: mTP= 70°,m∠EPT = 54° Find: Angles of △SPT

Zigmanuir [339]

Answer:

The Angles of △SPT are

$m\angle STP=35\°$

$m\angle SPT=126\°$

$m\angle PST=19\°$

Step-by-step explanation:

step 1

Find the measure of angle PET

we know that

The inscribed angle is half that of the arc it comprises.

$m\angle PET=\frac{1}{2}(arc\ PT)$

substitute the given values

$m\angle PET=\frac{1}{2}(70\°)$

$m\angle PET=35\°$

step 2

Find the measure of angle PTE

we know that

The sum of internal angles of a triangle must be equal to 180 degrees

In the triangle PET

$m\angle PET+m\angle EPT+m\angle PTE=180\°$

substitute the given values

$35\°+54\°+m\angle PTE=180\°$

$m\angle PTE=180\°-89\°=91\°$

step 3

Find the measure of angle STP

we know that

The inscribed angle is half that of the arc it comprises.

$m\angle STP=\frac{1}{2}(arc\ TP)$

substitute the given values

$m\angle STP=\frac{1}{2}(70\°)=35\°$

step 4

Find the measure of angle SPT

we know that

$m\angle SPT+m\angle EPT=180\°$ ----> by supplementary angles

$m\angle SPT+54\°=180\°$

$m\angle SPT=180\°-54\°=126\°$

step 5

Find the measure of angle PST

we know that

The sum of internal angles of a triangle must be equal to 180 degrees

In the triangle SPT

$m\angle STP+m\angle SPT+m\angle PST=180\°$

substitute the given values

$35\°+126\°+m\angle PST=180\°$

$m\angle PST=180\°-161\°=19\°$

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3 years ago