162 short sleeve shirts; if you add 9 and 4, you get 13. Then, divide 234 by 13, which equals 18. 18 multiplied by 9 is 162.
Answer:
28-7x
Step-by-step explanation:
To write the expression without grouping symbols, multiply the 7 into both terms using the distributive property.
7*4 - 7^x
28-7x
value of y which satisfies equation
is
.
<u>Step-by-step explanation:</u>
We have , 3y+8=7y+11 . We need to find which value of y satisfies this equation 3y+8=7y+11 :
![3y+8=7y+11](https://tex.z-dn.net/?f=3y%2B8%3D7y%2B11)
⇒ ![3y+8=7y+11](https://tex.z-dn.net/?f=3y%2B8%3D7y%2B11)
⇒ ![(3y+8)-3y=(7y+11)-3y](https://tex.z-dn.net/?f=%283y%2B8%29-3y%3D%287y%2B11%29-3y)
⇒ ![8=4y+11](https://tex.z-dn.net/?f=8%3D4y%2B11)
⇒ ![4y+11 = 8](https://tex.z-dn.net/?f=4y%2B11%20%3D%208)
⇒ ![(4y+11)-11 = 8-11](https://tex.z-dn.net/?f=%284y%2B11%29-11%20%3D%208-11)
⇒ ![4y= -3](https://tex.z-dn.net/?f=4y%3D%20-3)
⇒ ![\frac{4}{4}y= \frac{-3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B4%7Dy%3D%20%5Cfrac%7B-3%7D%7B4%7D)
⇒ ![y= \frac{-3}{4}](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B-3%7D%7B4%7D)
Therefore, value of y which satisfies equation
is
.
Answer:
D. Sphere
Because a sphere is a 3D ball and an orange is a type of ball
Answer:
![(x,y)\rightarrow (4x+12,-4y+16)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%284x%2B12%2C-4y%2B16%29)
Step-by-step explanation:
<u>1 transformation</u> - translation 3 units to the right and 4 units down. This translation has the rule
![(x,y)\rightarrow (x+3,y-4)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28x%2B3%2Cy-4%29)
<u>2 transformation</u> - reflection across the x-axis. This reflection has the rule
![(x,y)\rightarrow (x,-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28x%2C-y%29)
<u>3 transformation</u> - dilation by a factor of 4 with the origin as the center of dilation. This dilation has the rule
![(x,y)\rightarrow (4x,4y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%284x%2C4y%29)
Now, the sequence of these three transformation has the rule
![(x,y)\rightarrow\limits^{\text{1st transformation}} (x+3,y-4)\rightarrow\limits^{\text{2nd transformation}}(x+3,-(y-4))\rightarrow\limits^{\text{3rd transformation}} (4(x+3),4(-(y-4)))\\ \\(x,y)\rightarrow (4x+12,-4y+16)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%5Climits%5E%7B%5Ctext%7B1st%20transformation%7D%7D%20%28x%2B3%2Cy-4%29%5Crightarrow%5Climits%5E%7B%5Ctext%7B2nd%20transformation%7D%7D%28x%2B3%2C-%28y-4%29%29%5Crightarrow%5Climits%5E%7B%5Ctext%7B3rd%20transformation%7D%7D%20%284%28x%2B3%29%2C4%28-%28y-4%29%29%29%5C%5C%20%5C%5C%28x%2Cy%29%5Crightarrow%20%284x%2B12%2C-4y%2B16%29)