HELP Solve the system of equations using the substitution method.
-7x - 4y = -11
y = x

Answer:

He shall pay $18 to buy the shirts.

Step-by-step explanation:

each shirt cost after sale: $11 - $9 = $2

then 9 shirts for 9 players would cost: $2 * 9 = $18

For the shirts for his soccer squad, Robert will spend a total of $18 to buy the shirts for his soccer team.

Given that;

Robert is purchasing shirts for his weekend soccer team.

And, The shirts he wants to buy are normally $11 each but are on sale for $9 off.

The shirts are originally priced at $11 each, and they are on sale for $9 off.

Therefore, the discounted price per shirt is,

$11 - $9 = $2

Since Robert has a total of 9 players in his team, he needs to buy 9 shirts.

Hence, the total amount he will spend,

Total amount = Number of shirts × Discounted price per shirt

Total amount = 9 shirts × $2/shirt

Total amount = $18

Therefore, Robert will spend a total of $18 to buy the shirts for his soccer team.

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2 quarters, 3 dimes, 3 nickels, and 5 pennies equals

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is essential to determine the quantity of any object

1 dollar = 4 quarters

1 dollar = 10 dimes

1 dollar = 20 nickels

1 dollar = 100 pennies

We have to calculate the total dollar measurement of 2 quarters, 3 dimes, 3 nickels, and 5 pennies.

4 quarters = 1 dollar

2 quarters = 2/4 dollars

                 = 0.5 dollars

10 dimes = 1 dollar

3 dimes = 3/10 dollar

              = 0.3 dollar

20 nickels = 1 dollar

3 nickels = 3/20 dollar

               = 0.15 dollar

100 pennies = 1 dollar

5 pennies = 5/100 dollar

                  = 0.05 dollar

Total currency value = 0.5 dollars + 0.3 dollar + 0.15 dollar + 0.05 dollar

                                   = 1 dollar

Hence the total worth of coins given is 1 dollar.

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Answer:

50/50

Step-by-step explanation:

2 options

Answer:

3052. 08

Step-by-step explanation:

volume = 4/3πr^3

= 4/3π*(9)^3= 3052.08 in^3

Answer:

HCF = [tex](x + 1)[/tex]

Step-by-step explanation:

A common factor is a factor that is shared by two or more numbers (or, in this case, polynomials). The highest common factor (HCF) is found by finding all common factors of the two expressions and selecting the largest one.

Find HCF of [tex]2x^5-4x^4-6x \ \ \textsf{and} \ \ x^5+x^4-3x^3-3x^2[/tex]

Factor [tex]2x^5-4x^4-6x[/tex]

Factor out common term:  [tex]2x(x^4-2x^3-3)[/tex]

Factor [tex]x^4-2x^3-3[/tex]:  [tex]2x(x+1)(x^3-3x^2+3x-3)[/tex]

Factor [tex]x^5+x^4-3x^3-3x^2[/tex]

Factor out common term:  [tex]x^2(x^3+x^2-3x-3)[/tex]

Factor [tex]x^3+x^2-3x-3[/tex]:  [tex]x^2(x+1)(x+\sqrt{3} )(x-\sqrt{3} )[/tex]

Therefore, from inspection the HCF = [tex](x + 1)[/tex]

Answer:

18.75

Step-by-step explanation:

Given :-

To Find :-

Solution :-

Given that the volume of cube is 27cm³ . We know that the volume of cube is given by (side)³ .

So , if we assume each side to be a , then ,

[tex]\longrightarrow[/tex] a³ = 27cm³

[tex]\longrightarrow[/tex] a = ³√{27cm³}

[tex]\longrightarrow[/tex] a = ³√3³cm³

[tex]\longrightarrow[/tex] a = 3 cm .

See attachment for figure .

And as we know that TSA of cuboid is ,

[tex]\longrightarrow[/tex]TSA = 2( lb + bh + hl )

[tex]\longrightarrow[/tex] TSA = 2 ( 6*3 + 3*3 + 3*6) cm²

[tex]\longrightarrow[/tex]TSA = 2 ( 18 +9 +18 )cm²

[tex]\longrightarrow[/tex] TSA = 2 * 45cm²

[tex]\longrightarrow[/tex] TSA = 90 cm²

Hence the new surface area of the solid is 90cm² .

I hope this helps.

Step-by-step explanation:

Circumference formula:

Find π:

Area formula:

Find π:

Answer:

volume of this sphere is 4.19 cm³

Explanation:

volume of sphere: [tex]\frac{4}{3}[/tex]πr³

Here the radius of the sphere is 1 meter.

Using the formula:

[tex]\frac{4}{3}[/tex] * 3.14 * 1³

4.19 cm³

Answer:

[tex]{\purple{\boxed{4.19}}}[/tex] cubic meters.

Step-by-step explanation:

DIAGRAM :

[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bf{1\ m}}\end{picture}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

Here's the required formula to find the volume of sphere :

[tex]\longrightarrow{\pmb{\sf{V_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3}}}}[/tex]

Substituting all the given values in the formula to find the volume of sphere :

[tex]\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3}}}[/tex]

[tex]\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1)}^{3}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1 \times 1 \times 1)}}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1 \times 1)}}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1)}}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times 1}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{12.56}{3}}}}[/tex]

[tex]{\longrightarrow{\sf{V_{(Sphere)} \approx 4.19}}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{V_{(Sphere)} \approx 4.19 \: {m}^{3}}}}}}[/tex]

Hence, the volume of sphere is 4.19 m³.

[tex]\begin{gathered}\end{gathered}[/tex]

LEARN MORE :

[tex]\begin{array}{|c|c|c|}\cline{1-3}\bf Shape&\bf Volume\ formula&\bf Surface\ area formula\\\cline{1-3}\sf Cube&\tt l^3}&\tt 6l^2\\\cline{1-3}\sf Cuboid&\tt lbh&\tt 2(lb+bh+lh)\\\cline{1-3}\sf Cylinder&\tt {\pi}r^2h&\tt 2\pi{r}(r+h)\\\cline{1-3}\sf Hollow\ cylinder&\tt \pi{h}(R^2-r^2)&\tt 2\pi{rh}+2\pi{Rh}+2\pi(R^2-r^2)\\\cline{1-3}\sf Cone&\tt 1/3\ \pi{r^2}h&\tt \pi{r}(r+s)\\\cline{1-3}\sf Sphere&\tt 4/3\ \pi{r}^3&\tt 4\pi{r}^2\\\cline{1-3}\sf Hemisphere&\tt 2/3\ \pi{r^3}&\tt 3\pi{r}^2\\\cline{1-3}\end{array}[/tex]

[tex]\rule{300}{2.5}[/tex]

Answer: $16,734.32

Step-by-step explanation:

Make an exponential equation where y represents the price of the equipment and x represents the number of years

y = 85,000(1 - 0.15)^x

y = 85,000(0.85)^10

y = 16,734.32

Therefore, the price of the equipment after 10 years will be $16,734.32

Answer:

600 is greater by 24

Step-by-step explanation:

We will decrease 600 by 20%.

20% of 600 = 120

600 - 20% of 600 = 480

We will now increase 480 by 20%

20% of 480 = 96

480 + 20% of 480 = 576

Is 576 more than 600?

No.

And how much more is 600 than 576?

24, because 600 - 576 = 24.

0.7 Liters, then 2,000mil, Lastly, 4.1 Liters

Answer:

LALLALALALLALA

Step-by-step explanation:

Answer:

LLANCELANDEE LANCELANDEE LLANCELANDEE LANCELANDEE LLANCELANDEE LANCELANDEE

Answer:

1 chain = 12 pounds

4 inches = x

4×12=49

= 50

Answer:

so given range is 0.33333 to 0.9 an answer is 6/10 and there are more on this

2/10, 3/10, 4/10, 5/10, 6/10, 8/10

Step-by-step explanation:

any number you can express with an fraction form

Answer:

Step-by-step explanation:

According to intersecting secants theorem we have:

Correct choice is B

Answer:

Answer:

20 units.

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

[tex]\displaystyle d_2 = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

Let W(-6, -8) be (x₂, y₂) and X(6, 8) be (x₁, y₁).

Substitute and evaluate:

[tex]\displaystyle \begin{aligned}d & = \sqrt{(-8-8)^2 + (-6-6)^2} \\ \\ & = \sqrt{(-16)^2 + (-12)^2} \\ \\ & = \sqrt{400} \\ \\ & = 20 \end{aligned}[/tex]

Therefore, the distance between the two points is 20 units.

Answer:

9

Step-by-step explanation:

Use Pythagoras’ theorem;

the hypotenuse is 15:

one side that isn't hypotenuse is 12:

[tex]a^2 +12^2=15^2\\= a=225-144\\a=81\\\sqrt{81}=9[/tex]

Answer:

[tex]112in^{2}[/tex]

Step-by-step explanation:

to find the area of the square we multiply the base x height so 10x10 which equals 100in^2.

to find the area of the triangle we multiply the base x  height divided by 2 so to find the base 10-6 will give us the dotted line which equals 4. to find the height of the triangle we take 16-10 which equals 6. to find the area of the triangle we multiply 6x4/2 to make 12 in^2. to find the total area we add the triangle plus the square 100+12=112in^2

Answer:

  ln(p^5/y^3)

Step-by-step explanation:

The given expression can have ln(y) terms combined, so it becomes ...

  = 5·ln(p) -3·ln(y)

  = ln(p^5/y^3)

__

The relevant log relation is ...

  ln(a^b) = b·ln(a)

Answer:

x = 56/3

PS = 103/3

Step-by-step explanation:

Perimeter:  (4x + 1) + 2(2x - 3) + (4 + 4 + 4x + 1) = 228

Collect and combine like terms:  12x + 4 = 228

Subtract 4 from both sides:  12x = 224

Divide both sides by 12:  x = 56/3

PS = (2 x 56/3) - 3 = 103/3

Answer:

KL // MN & KN // LM

Step-by-step explanation:

One property of parallelogram is every two opposite sides are parallel to each other and if a two lines (sides) are parallel so they must have the same slope.

In the parallelogram KLMN:

using the slope formula = y2-y1/x2-x1

plug the numbers: KL // MN & KN // LM so KLMN is a parallelogram

Answer:

0.06625

Step-by-step explanation:

Answer:

0.06625

Step-by-step explanation:

Terminating Decimal: A decimal that has an end.

To convert 53/800 into a terminating decimal, we simply divide 53 by 800.

Have a lovely rest of your day/night, and good luck with your assignments. ♡

Answer:

Yes, I've heard about the newspaper editor

Answer:

That's correct (756)

Step-by-step explanation:

336/4 = 84

84 * 5 = 420

420 + 336 = 756

Answer:

-2, -20

Step-by-step explanation:

x * y = 40       (1)

x + y = -22      (2)

Multiply by x on (2):

x^2 + xy = -22x

x^2 + 40 = -22x

x^2 + 22x + 40 = 0

(x + 2)(x + 20) = 0

x = -2, -20  (answer)

So

Med ians of any tria ngle bise cts each other at 2:1 ra t io at cen troid.

So

Apply Pythagorean theorem

[tex]\\ \tt\hookrightarrow EC^2=CG^2-EG^2=100^2-60^2=10000-3600=6400\implies EC=80[/tex]

Now

Answer:

Largo = 62m

Ancho = 54m

Step-by-step explanation:

[tex]P=232m\\ b=(x+8)\\ h=x[/tex]

[tex]P=2(h+b)\\ P=2(x+(x+8))\\ P=2(2x+8)\\ P=4x+16[/tex]        →         [tex]4x+16=232\\ 4x=232-16\\ 4x=216\\ x=\frac{216}{4}[/tex]

[tex]b=54m[/tex]              [tex]x=54m[/tex]

[tex]b=x+8=(54)+8[/tex]

[tex]b=62m[/tex]