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Ainat [17]
3 years ago
9

find five consecutive even integers if the sum of the first and fifth is 2 less than 3 times the fourth.

Mathematics
1 answer:
gulaghasi [49]3 years ago
3 0
2a,2a+2,2a+4,2a+6,2a+8-\ \ five\ consecutive\ even\ integers\\\\
2a+2a+8+2=3(2a+6)\\\\
2a+2a+10=6a+18\\\\
4a+10=6a+18\ \ \ |Subtract\ 4a\\\\
10=2a+18\ \ \ |Subtract\ 18\\\\
10-18=2a\\\\
-8=2a\ \ \ |Divide\ by\ 2\\\\
a=-4\\\\
\boxed{Numbers:\
-4,-2,0,2,4}
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Mrs. O'Malley is setting up for a party. Each adult will get 2 glasses, and each child will get 1 glasses. There are 8 Adult and
malfutka [58]

1 adult=2

1 child=1

multiply 2*8=16 adult glasses

multiply 1*5=5 child glasses

in total she needs 21 glasses

hope I was helpful

5 0
3 years ago
ou decide to bake some cakes. You need 150 g of flour for 12 cakes. How much flour do you need for 30 cakes? g
Brilliant_brown [7]
Short answer: 375 grams

Remark
You only need to set up a direct proportion

Givens
flour for 12 cakes = 150 grams
Number of cakes initially = 12
Amount of flouer for 30 cakes = x
Number of cakes = 30

Proportion
amount flour for 12 cakes / 12 cakes  = x / 30

Sub and solve
150 grams / 12 cakes = x / 30 cakes  Cross multiply
150 * 30 = 12 *x                                  Multiply the left side. 
4500 = 12 x                                         Divide both sides by 12
4500/12 = x
375 grams for 30 cakes. <<<<< Answer
5 0
3 years ago
Please help me with this and explain how you got your answer thank you!!
ioda

Answer:

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Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
Please help with geomtry
notsponge [240]
Angle ADB is a right angle, which is given.

The measure of ADB is 90 degrees by definition of right angle.

The two angles are a linear pair (aka they're supplementary) by definition of linear pair (they're formed by two intersecting lines).

The measure of BDC is 90 because BDC + ADB = 180 (definition of linear pair), and ADB = 90 (given).

BDC = ADB because 90 = 90


Overall, the two triangles are congruent by SAS.
5 0
3 years ago
If y is the circumcenter is angle STU find each measure
snow_tiger [21]

Answer:

Measures are SV=9 units., SY=14 units, YW=\sqrt75units , YW=\sqrt27units

Step-by-step explanation:

Given Y is the circumcenter of ΔSTU. we have to find the measures SV, SY, YW and YX.

As Circumcenter is equidistant from the vertices of triangle and also The circumcenter is the point at which the three perpendicular bisectors of the sides of the triangle meet.

Hence, VY, YW and YX are the perpendicular bisectors on the sides ST, TU and SU.

Given ST=18 units.

As VY is perpendicular bisector implies SV=9 units.

Also in triangle VTY

YT^{2}=VY^{2}+VT^{2}

⇒ 14^{2}=VY^{2}+9^{2}

⇒ VY^{2}=115

As vertices of triangle are equidistant from the circumcenter

⇒ SY=YT=UY=14 units

Hence, SY is 14 units

In ΔUWY, UY^{2}=YW^{2}+UW^{2}

⇒ 14^{2}=YW^2+11^{2}

⇒ YW^2=196-121=75 ⇒ YW=\sqrt75units

In ΔYXU, UY^{2}=YX^{2}+XU^{2}

⇒ 14^{2}=YX^2+13^{2}

⇒ YX^2=196-169=27 ⇒ YW=\sqrt27units

Hence, measures are SV=9 units., SY=14 units, YW=\sqrt75units , YW=\sqrt27units





4 0
3 years ago
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