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2 years ago

14

Isaac and Paul shared some baseball cards in the ratio 2:5. If Paul gave 30 cards to Isaac, they would have the same number of c

ards. How many cards does Isaac have in the beginning?
PLS SHOW YOUR WORK. WILL GIVE BRAINLIEST TO THOSE YOU DO EVERYTHING. HELP ASAP. 10 POINTS.

1 answer:

stellarik [79]2 years ago

4 0

Answer:

40 baseball cards

Step-by-step explanation:

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15. Solve for the specified variable:<br> -<br> х<br> +<br> 7 8<br> - 10; for y.

Andreyy89

Answer:

$y=80-\frac{8x}{7}$

Step-by-step explanation:

15). Given equation is,

$\frac{x}{7}+ \frac{y}{8}=10$

Multiply the equation by 8,

$8(\frac{x}{7}+ \frac{y}{8})=10\times 8$

$\frac{8x}{7}+y=80$

Subtract $\frac{8x}{7}$ from both the sides of the equation,

$\frac{8x}{7}+y-\frac{8x}{7}=80-\frac{8x}{7}$

$y=80-\frac{8x}{7}$

Therefore, value of the variable 'y' will be,

$y=80-\frac{8x}{7}$

3 0

2 years ago

(b) Scott added 8 fish to his pond each day for 64 days. What was the total change in the number

serious [3.7K]

Answer:

512

Step-by-step explanation:

8 fish per day x 64 days

512 fish

8 0

2 years ago

Use the pencil,plot the point (3 1/2, 2 3/4)

kipiarov [429]

Answer:

The diagram of the plotting point $\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)$ is attached below.

Step-by-step explanation:

Given the points

$\left(3\frac{1}{2},\:2\frac{3}{4}\right)$

as

$3\frac{1}{2}=\frac{7}{2}=3.5$

$2\frac{3}{4}=\frac{11}{4}=2.75$

so the point can be visualized as:

$\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)$

Now, we can check the point x = 3.5, and determine the corresponding value y = 2.75 and plot the point at the location (x, y) = (3.5, 2.75)

The diagram of the plotting point $\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)$ is attached below.

8 0

3 years ago

in the figure below trianglePQM and triangleQRP are right triangles. the measure of lineQM is 6 and the measure of lineQP is 8.

Kipish [7]

Answer:

Option 4 is correct. The length of PR is 6.4 units.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR and triangle MQR.

Let the length of PR be x.

Pythagoras formula

$hypotenuse^2=base^2+perpendicular^2$

Use pythagoras formula for triangle PQM.

$PM^2=QM^2+PQ^2$

$PM^2=(6)^2+(8)^2$

$PM^2=36+64$

$PM^2=100$

$PM=10$

The value of PM is 10. The length of PR is x, so the length of MR is (10-x).

Use pythagoras formula for triangle PQR.

$PQ^2=QR^2+PR^2$

$(8)^2=QR^2+x^2$

$64-x^2=QR^2$ .....(1)

Use pythagoras formula for triangle MQR.

$MQ^2=QR^2+MR^2$

$(6)^2=QR^2+(10-x)^2$

$36=QR^2+x^2-20x+100$

$36-x^2+20x-100=QR^2$ .... (2)

From equation (1) and (2) we get

$36-x^2+20x-100=64-x^2$

$20x-64=64$

$20x=128$

$x=6.4$

Therefore length of PR is 6.4 units and option 4 is correct.

3 0

3 years ago

An artist cuts 4 squares with side length x ft from the corners of a 12 ft-by-18 ft rectangular piece of sheet metal. She bends

Kruka [31]

Answer:

$V=4x^3-60x^2+216x$

Step-by-step explanation:

<u>Volume And Function s</u>

Geometry can usually be joined with algebra to express volumes as a function of some variable. The volume of a parallelepiped of dimensions a,b,c is

$V=abc$

Our problem consists in computing the volume of a box made with some sheet of metal 12 ft by 18 ft. The four corners are cut by a square distance x as shown in the image below .

If the four corners are to be lifted and a box formed, the base of the box will have dimensions (12-2x)(18-2x) and the height will be x. The volume of the box is

$V=x(12-2x)(18-2x)$

Operating and simplifying

$V=4x^3-60x^2+216x$

8 0

3 years ago