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3 years ago

Solve for v. 5v- 13=22

Mathematics

2 answers:

aliina [53]3 years ago

7 0

Answer:

5(7)-13=22

Step-by-step explanation:

siniylev [52]3 years ago

3 0

Answer:

Step-by-step explanation:

5v-13=22

+13 +13

5v=35

5v/35

v=7

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Arpad's roof is shaped like a square pyramid. The square base has side lengths of 55 feet. The height of each triangular face is

shusha [124]

It’s 550. 55x10=55. length times height

5 0

3 years ago

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helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. she also needs 0.75 cup of sugar pe

tatuchka [14]

The <em><u>correct answer</u></em> is:

She can make 2 loaves of bread and 4 batches of muffins.

Explanation:

Let b represent bread and m represent muffins.

The equation for the amount of flour she needs is 3.5b+2.5m=17.

The equation for the amount of sugar she needs is 0.75b+0.75m=4.5.

To solve this, we will want to eliminate one of the variables. To do this, we will make the coefficients of one of the variables the same. If we multiply 2.5 by 0.3, we get 0.75; this is what we will do to the first equation:

$\left \{ {{0.3(3.5b+2.5m=17)} \atop {0.75b+0.75m=4.5}} \right. \\ \\\left \{ {{1.05b+0.75m=17} \atop {-(0.75b+0.75m=4.5)}} \right. \\ \\0.3b=0.6 \\ \\\frac{0.3b}{0.3}=\frac{0.6}{0.3} \\ \\b=2$

She can bake two loaves of bread.

Substituting 2 for b in the first equation, we have

3.5(2)+2.5m=17

7+2.5m=17

Subtract 7 from each side:

7+2.5m-7=17-7

2.5m=10

Divide both sides by 2.5:

2.5m/2.5 = 10/2.5

m = 4

She can bake 4 batches of muffins.

6 0

4 years ago

Read 2 more answers

Suppose f(x)=4x-2 and g(x)=-2x+1

choli [55]

In order to get g(x) you would multiply the equation of f(x) by -1/2.
4x(-1/2)=-2x and -2(-1/2)=1.

3 0

3 years ago

a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to the curve at the given point.

xxMikexx [17]

Answer:

y = 13*( -x/9 + 1/5)

Step-by-step explanation:

Given:

- The curve has an equation as follows:

$44 = 5x^2 + 3xy + 3y^2$

Find:

a. Verify that the given point (2,2) lies on the curve.

b. Determine an equation of the line tangent to the curve at the given point.

Solution:

- To verify whether the point lies on the given curve we will substitute the coordinates of the point into the equation as follows:

44 = 5*(2)^2 + 3*(2)(2) + 3*(2)^2

44 = 20 + 12 + 12

44 = 44 ......Hence proven.

- The equation of the line tangent to the curve is expressed as a linear function as follows:

y = m*x + C

Where, m is the gradient of the line.

C is the y-intercept.

m = Δy / Δx = dy/dx

- We will take the derivative of the given curve with respect to x as follows:

$0 = 10x + 3*( y + xy' ) + 6y*y'\\\\-10x - 3y = y' ( 3x + 6y)\\\\ y' = - \frac{10x + 3y}{3x + 6y}$

- Evaluate y' at the point (2,2) we get:

y' = - ( 10(2) + 3(2) ) / ( 3(2) + 6(2) )

y' = - ( 26 ) / (18)

y'= m = - 13/9

- To evaluate C, we will use the point (2,2) for linear expression above with m as follows:

y = -13*x/9 + C

2 =-13*(2)/9 + C

C = 13 / 5

- The equation of the tangent is as follows:

y = 13*( -x/9 + 1/5)

8 0

3 years ago

Hellllllp I need this answer ADAP‼️‼️ :(((

Ede4ka [16]

Answer:

$m\angle D=64^{\circ}$

Step-by-step explanation:

Given

$\triangle ABE\sim \triangle TCD$

Similar triangles have conruent corresponding angles, so

$m\angle A=m\angle T=61^{\circ}\\ \\m\angle B=m\angle C=55^{\circ}\\ \\m\angle E=m\angle D$

The sum of the measures of all interior angles of the triangle is always equal to 180°, so

$m\angle T+m\angle C+m\angle D=180^{\circ}\\ \\61^{\circ}+55^{\circ}+m\angle D=180^{\circ}\\ \\m\angle D=180^{\circ}-61^{\circ}-55^{\circ}=64^{\circ}$

6 0

3 years ago