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3 years ago

Pls answer i need the answer

Mathematics

1 answer:

just olya [345]3 years ago

7 0

Answer:

(-2,5)

Step-by-step explanation:

4x+4y=12

6x-4y=-32

10x=-20

x=-2

4(-2)+4y=12

-8+4y=12

4y=20

y=5

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Find the measure of side XY.

Ymorist [56]

Answer:

XY = 18

Step-by-step explanation:

The figures are similar so the ratios of corresponding sides are equal, that is

$\frac{XY}{BC}$ = $\frac{YZ}{CD}$ , substitute values

$\frac{XY}{12}$ = $\frac{15}{10}$ ( cross- multiply )

10 XY = 180 ( divide both sides by 10 )

XY = 18

4 0

2 years ago

Mrs. Jones has a local bakery. Last week this expression shows how many peanut butter cupcakes she baked. 5 (2x -4) + 3(3 + 4x)

Natasha_Volkova [10]

Answers:

A: 11(2x-1)

B: 121 cupcakes

Step-by-step explanation:

Part A:

We have the following expression that models the quantity of cupcakes Mrs. Jones baked last week:

$5(2x -4) + 3(3 + 4x)$

Applying distributive property:

$10x-20+9+12x$

Grouping similar terms:

$22x-11$

Applying common factor $11$ :

$11(2x-1)$ This is the simplified expression

Part B:

Now that we have the simplified expresion, we have to evaluate how many cupcakes did Mrs. Jones bake if $x=6$ :

$11(2(6)-1)$

$11(12-1)=11(11)=121$ Hence, Mrs. Jones baked 121 cupcakes last week

7 0

3 years ago

Plz..... Solve this questions for me...

faust18 [17]

$6.\\\text{We know}\ 9=3^2.\ \text{Therefore}\\\\9^2=(3^2)^2\\\\\text{use}\ (a^n)^m=a^{nm}\\\\9^2=(3^2)^2=3^{2\cdot2}=3^4\\\\\boxed{3^4=9^2}\\=================$

$7.\\METHOD\ 1:\\\\\sqrt{7^4}=\sqrt{7^{2\cdot2}}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt{(7^2)^2}\\\\\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=\boxed{7^2}\\\\METHOD\ 2:\\\\\text{use}\ a^\frac{m}{n}=\sqrt[n]{a^m}\\\\\sqrt{7^4}=7^\frac{4}{2}=\boxed{7^2}\\=================$

$8.\\5^a\times5^b=5^{11}\\\\a)\\\text{use}\ a^n\times a^m=a^{n+m}\\\\5^a\times5^b=5^{a+b}\\\\5^{a+b}=5^{11}\Rightarrow a+b=11\\\\11\ \text{is odd. The sum of even and odd is odd. Therefore}\ a\ \text{and}\ b\ \text{can't be even.}\\--------------------\\\\b)\\5\ \text{solutions}\\\\11=5+6\\11=4+7\\11=3+8\\11=2+9\\11=1+10$

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2 years ago

Solve the system by substitution. y = 8x y = 10x - 4 Submit Answer

erik [133]

Answer:

x=1, y=8

Step-by-step explanation:

Plug y=8x into y=10x-4.

8x=10x-4

Subtract 10x from each side.

-2x=-2

Divide each side by -2.

x=1

Plug x=1 into y=8x.

y=8(1)

y=8

5 0

3 years ago

Which number should come next in the series? 13, 57, 911, 1315, 1719?

DiKsa [7]

Answer:

2123

like 1+4=5

3+4=7

Step-by-step explanation:

All odd numbers beginning from one, in a series.

Also: Starting with 13, add 4 to each digit separately, and continue adding 4 to the result.

6 0

2 years ago

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